diff --git "a/data/dm_maths/full_data_2/12_11255.jsonl" "b/data/dm_maths/full_data_2/12_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/12_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q(l) = -l**3 - 3*l**2 + 2*l + 2. Suppose 0 = -4*n - 6 - 6. What is q(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*r + 526 = 0, 5*l - 5*r - 864 = -3*r. Calculate the highest common factor of 129 and l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 1116.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - 0 - ((-9 - -24) + -4 - -46).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3445 (base 8) in base 10?\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.4 * -26.\nAnswer: 114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*6\/90)\/(12\/20).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -1. Let v(y) = -4*y + 1. Calculate the remainder when 1*(h - (-184)\/4) is divided by v(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-6\/7)\/q**(-4)*q*q**8*q*q**10 assuming q is positive.\nAnswer: q**(162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/24*(-56)\/(-42))\/((-1 + 7)*2)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.20412 - 10.80148. Let g = -11 - s. Let q = g + -0.01. Round q to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-5)*y\/y**7)\/(y**7*y*y*(y*y**(-3\/8))\/y))**(2\/29))**(-2\/125) assuming y is positive.\nAnswer: y**(157\/7250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.4 * 65.\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -334\/147 at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -80? (a) 0 (b) -3\/8 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 63, -1, -4, 7, 2267 in decreasing order.\nAnswer: 2267, 63, 7, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 220*u**2 - 6*u - 11. What are the prime factors of v(-2)?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10615 - 1285 = -933*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 5*o**2 + o + 8 + 5*o + 6*o**2. Let z be w(-4). Is 3 a factor of ((-2)\/z)\/((-19)\/228)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510.6 take away 34666928?\nAnswer: -34666417.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**5\/40 + t**4\/18 - 5*t**3\/36 - t**2\/6 - 4*t. Suppose u(l) = 0. What is l?\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*c - 1026 + 189 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 98*f + 3. Let r(o) = 306*o + 9. Calculate 2*r(k) - 7*v(k).\nAnswer: -74*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 144\/27*(-11514)\/1616\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3 + (1 + 1 + 1)*(3 - 1 + 2))*(0*i + 0*i - i) in the form j + h*i and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 790970265 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97 + 2*n**2 - 185 - 127*n**4 + 88 + (-3*n + 0*n + 5*n)*(-3*n**3 + n**3 + 4*n**3).\nAnswer: -123*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o - 5. Give f(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + 4a?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*z + 4*q, -3*z - 6 = -4*q - 3. What is the second derivative of 2*b**3 + 0*b**3 - 2*b - z*b + 0*b wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -437 (b) 3\/8 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285 divided by -3617.\nAnswer: -285\/3617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 705 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 686 - 608. What is the remainder when 231 is divided by x?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -10*o - 53. Let s be 1 - (-74 - (4 + o)). Is s*(13 + -4) + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 480 = -0*x + 6*x + x for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/20 and (-195)\/(-18) + -2 - 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*q = 323*q - 1266. Solve b - 4*o + 6 = -2*o, -q*o = -2*b - 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112362 divided by 6.\nAnswer: 18727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 - 76*g. Let v(k) = 12*k**2 - 246*k. Let q(d) = 11*b(d) - 4*v(d). Factor q(z).\nAnswer: -4*z*(z - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 38339458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -414*q + 794*q - 377*q. Let j(o) = o**2 - 1628*o. Determine j(y(t)).\nAnswer: 9*t**2 - 4884*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e5a (base 15) to base 4.\nAnswer: -302203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2510 - -2523. Which is smaller: n or 38?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29685\/3958*2\/(-20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 7*m**2 - 8*m**2)*(1 + 0 - 2 + (-1 - 1 + 4)*(1 + 5 - 4) - 28 + 4 + 67).\nAnswer: -184*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**25\/(c*c*c**2))\/(c**(-6\/23)*c*c*c\/c**(-3\/20)))**(-14) assuming c is positive.\nAnswer: c**(-58317\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgwq when four letters picked without replacement from {w: 2, u: 1, q: 4, g: 5, f: 4}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1151510263 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40531 = -4*k + i, -69*k + 20264 = -67*k - 2*i. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -243, -242, -241, -240, -239?\n\"Answer: g - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 25*x**3\/3 + x**2 - x - 1. Let p be r(1). Let z = 32 - p. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)*a*a*(a*((a*a**(-2)*a)\/a)\/a)\/a)\/((a*a**(-4)\/a)\/a**(-1\/4)))**49 assuming a is positive.\nAnswer: a**(-441\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32183, -24792, -12473, 4774, 26949, 54052, 86083?\nAnswer: 123042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 38. Solve b = -y + 4*d + 6, 0 = 2*y - y + 2*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/627)\/(2145\/(-13585)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30548.911 times -0.1\nAnswer: 3054.8911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.355 + 0.645. Let i = -11 + 20. Let t = i + -5. Sort z, t, -0.1 in descending order.\nAnswer: t, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57847 times -0.09\nAnswer: 5206.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighty-one quarters of a millimeter?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2 + 88*a - 384 = 0 for a.\nAnswer: 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -19*o + 607. Let x be k(32). Which is the closest to -1? (a) 2\/11 (b) -0.02 (c) x (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189 is divided by 39?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -63. Calculate the remainder when 143 is divided by s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3) + -5 + sqrt(68)\/sqrt(4)*-3)**2.\nAnswer: 20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*q + 5*q - 1257 = 0, 5*q = 3*p - 1239. Let u = p - 338. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccz when three letters picked without replacement from {z: 6, c: 12}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 - 4*g - 16. What is q(3)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a + a)*(-6*a - 4*a + 0*a).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -29856168 divided by -2216\nAnswer: 13473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1656 = -8*d + 12*d. Calculate the greatest common divisor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23217 - 23217 + 13*g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -31*y**3 - 6*y + 6. Let x(k) = k - 13. Let a be x(7). Let f(q) = 62*q**3 + 11*q - 11. Give a*f(c) - 11*d(c).\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkbpgpggypyymgm. What is prob of picking 1 b, 1 p, and 2 y?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 19*h**2 + 695*h - 1396. Suppose y = -3*y + 96. What is the remainder when v(2) is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -32209 - ((-10)\/2 + (3 - -1)). Let f = n - -46649. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 63, -2, 33, -4, 0 in ascending order.\nAnswer: -4, -2, 0, 1, 2, 33, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 i when three letters picked without replacement from jiiuiijij?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 46\/5 of a meter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drd when three letters picked without replacement from bbkdbkbrrrkkbrkbdk.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 829 + 0 - 3*(-4 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.190916495 rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(((sqrt(225) - (sqrt(225)*1 + sqrt(225)))*-2)\/sqrt(5))\/(((sqrt(108)*1)\/sqrt(3) + sqrt(36))\/sqrt(4)))**2.\nAnswer: 6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 75*r + 75*r.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + ((-28)\/(-7) - 0). Let a(g) be the first derivative of -1\/12*g**6 + 2 + 0*g**2 + 0*g + 3\/10*g**5 + 1\/6*g**c - 3\/8*g**4. Factor a(d).\nAnswer: -d**2*(d - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -113 - 6*d**2 - d**3 + 107 + 10*d - 4*d**2. Let b be x(-11). Solve 2*y = -b*g + 3, 2*y = y + g + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(66) - (sqrt(66) - sqrt(66)*2)) - sqrt(66)) + sqrt(66))\/((sqrt(72)\/sqrt(3))\/sqrt(4)) + (-2*(sqrt(275) + 2)*2)**2.\nAnswer: 310*sqrt(11) + 4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4815 is divided by 229.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 415500 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 832\/6 - 9*26\/351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140513 - 82222. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 293180*b**3*y**3 - 428*b**3*y**2 - 2828*b**3 + 9*b**2*y**2 - b*y**3 - 32*y**3 wrt y?\nAnswer: 1759080*b**3 - 6*b - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -81*c**2 - 4*c - 19. Let l(t) = 82*t**2 + 3*t + 19. Let a(m) = -3*l(m) - 4*p(m). What is the tens digit of a(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**4 - 53290*f**3 + 585635*f**2 - 532350*f = 0 for f.\nAnswer: 0, 1, 10, 10647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - 24. What is the common denominator of -37\/20 and 2\/h - (-74)\/(-12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -260, -886, -2106, -4118, -7120, -11310?\nAnswer: -16886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**1*g\/((g**(-2\/3)\/g)\/g)*((g\/(g*g\/g**(-4)*g))\/g)\/(g**(2\/5)\/g) assuming g is positive.\nAnswer: g**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + 12*m**2 - 28*m**2 + 10*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21503 or 21505?\nAnswer: 21505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*6*(-4)\/(-180)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*j - 160*j = 1125. Calculate the highest common divisor of j and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 9) to base 7.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8960 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0\/(f*f\/f**(1\/13)) assuming f is positive.\nAnswer: f**(-25\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 5 + (sqrt(27))**2 + 6*2*sqrt(3).\nAnswer: 13*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1857850?\nAnswer: 2, 5, 73, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -559, -409, -261, -115, 29, 171?\n\"Answer: -i**2 + 153*i - 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -267 - -274. Let h(j) = j**2 - 5*j - 6. Determine h(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times -196148?\nAnswer: 6669032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 6\/61 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -307.65 - -307.45. Which is the smallest value? (a) -2\/11 (b) 0.9 (c) r (d) -1\/726\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**17\/u**(-4)*u*u**(-2\/11)\/u*u**(-5\/8) assuming u is positive.\nAnswer: u**(1777\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 32. Let y(x) = 2*x - 31. Suppose -3*l = -2*s - 12, 20*s - 5*l - 18 = 23*s. Give s*y(h) - 5*a(h).\nAnswer: -2*h + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y + 34. Let f be s(3). Solve f - 61 = 6*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-7 - 6) + 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-243 - -56)*-11*2.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7738322 (base 9) to base 3\nAnswer: 21211022100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5794114\/315 + 18394. What is the common denominator of -7\/120 and h?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5570959 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4*c + 4)*(2 + 10*c - 2 + 1)*(c - 2*c + 0*c) as o*c**2 + x*c**3 + d + j*c and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 538*u + 37*u**2 + 33*u**2 - 40 + 46 - 823*u + 219 = 0. What is u?\nAnswer: 15\/14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68 * -2.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -24. Let h = a - -6. Let u = -0.89 + -0.11. What is the nearest to u in h, -2\/5, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20623 - -78849. What is the ten thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 7:02 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 54*g - 8 + 5.\nAnswer: -54*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 - 241. Let l = r + 108. Let b(p) = 6*p - 15. What are the prime factors of b(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29519.0873 less than -66934?\nAnswer: -96453.0873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*n - 15 = 36, 321 = 5*n + 356 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 82554501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -43 + 3*a + a**3 - 16*a - 4*a - 9 + 12*a**2. Let z be q(-13). Solve z = -6*c + 19 - 25 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4109 - 355*h**2 + 4109 as m*h**2 + s + w*h and give m.\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 110\/20 - (-2)\/4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-7)*(-28)\/(-32).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 227*m**5\/5 - m**4\/4 + 208*m - 13. Differentiate p(s) wrt s.\nAnswer: 908*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 40 = 4*w. What are the prime factors of (-8)\/w*(-25)\/1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p + 0 + 0*p**2 - 1\/12*p**4 - p**3. Let s be o(-5). Solve 6*y - y - s = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302919083?\nAnswer: 467, 648649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1426 + -800. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78.9749 - -0.0251. Let r = 79.191 - f. What is r rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -19319122?\nAnswer: -19319127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1412 + -1413 + 48\/33.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*x**5 - x**3 - x**2 - 24*x wrt x.\nAnswer: 360*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 5:38 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r + 1. Let j(z) = 3*z**2. Let n be j(1). Let x(h) = h + 3. Let u be x(-3). Suppose 5*q + 2 + n = u. Calculate b(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70276 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**8\/6720 + x**7\/840 + x**6\/720 + 5*x**4\/3 - 23*x. Let n(i) be the third derivative of r(i). Give n(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + -0.25. Let h = -1 + 1.5. Suppose -3 = -2*q - 5. What is the nearest to m in h, -3, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1326536 and 1658170.\nAnswer: 6632680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/7938441 and 11\/70311906.\nAnswer: 492183342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(x - 5 + 6 + 1).\nAnswer: 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*q + 10, 3*a + 8 = 5*q. Suppose 4*h + 9*t = a*t + 56, -3*h + 7 = -5*t. Solve 6 = -3*u - h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*g + 17*g + 277419. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 233\/28 - 60\/7. Which is bigger: y or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 - 182. Find the third derivative of -20*y**4 + 4*y**4 + 34*y**2 - m*y**4 + 41*y**2 wrt y.\nAnswer: -768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + (sqrt(1573) + 5*sqrt(1573))*3 - sqrt(1573))**2.\nAnswer: 509652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 23 = -g + 5*o, 5*g + 3*o - 115 = 0. Let i = 1883 - 1871. Calculate the remainder when g is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*a + 96 + 228 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -11*z**6\/240 + z**4\/6 - 11*z. Let c(i) be the third derivative of x(i). Let v(h) = -2*h**2. What is c(v(g))?\nAnswer: 66*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t**4 - 12*t**3 - 10*t**2 + 6*t - 6. Let k(f) = -7*f**4 - 11*f**3 - 8*f**2 + 6*f - 5. Let b(p) = -5*i(p) + 6*k(p). What is c in b(c) = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 172*p + 5. Suppose -3 = -2*r + r. Is b(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 8 + 2 + 29 + 384*x in the form n + v*x and give v.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1268.1 + -1276.089. Let a = p - 0.011. Sort -1\/3, 2, a.\nAnswer: a, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*l + 25*l - 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/5508 and -31\/21114.\nAnswer: 126684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 a when three letters picked without replacement from {r: 3, a: 2, g: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-10))\/(1*2\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 13 = 2*u + s, 0 = -4*u + 5*s + 41. Suppose 0 = -w + 9*w - 32. Solve 2*h + 2*h - 4 = -c, -w*h - 5*c + u = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3518 from -0.107.\nAnswer: -3518.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 642 + -633. Let w be -90*(-104)\/8*(-213)\/r. What is w rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, d: 5, e: 3, g: 1}. Give prob of sequence eed.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 62 - 18. Let z = q + -22. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2530 + -1935. Calculate the greatest common divisor of 833 and i.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3 = 3*m, -4*w + 0*m + 5*m + 17 = 0. Suppose -w*u + 10 = 2*u. Let i = 5 - 3. What is the remainder when u is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/63342 and -25\/144.\nAnswer: 506736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 14*z - 29. Let p be g(6). Let v = p + -50. Factor 18*x**2 - 26*x**2 - x**5 + 5*x**v - 4*x**3 + 8*x**4.\nAnswer: 4*x**2*(x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/84 and 143\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2124468 and 90?\nAnswer: 2124378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 19*x - 27. Suppose -4*o - 2*j - 7988 = 0, -9985 = 6*o - o + x*j. Let u = o + 3408. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from zgz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52800 = -10*d + 204010. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27420 - 15547132\/567. Find the common denominator of -143\/24 and o.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/10 - (-3)\/(-2). Suppose t = -i*t + 36. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27002 = 7*f + 5883. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - 11*m + 6. Let o be a(7). Let v = o + -21. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 169 - 63 = 0. Calculate the remainder when a is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txtgttttttttxtg. Give prob of picking 2 g and 1 t.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*2*sqrt(136))\/((sqrt(8) - 1*sqrt(32)\/sqrt(4)) + sqrt(8)).\nAnswer: -6*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161965 - -250055. Round v to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(65\/25 + -3) - -1. Solve w*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000184435087 to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 (base 11) in base 15?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**2 - 34 - 127*l + 404*l - 147*l - 129*l + 266 to h*l + d + c*l**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1514*b**2 - b - 314.\nAnswer: -3028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512338 is divided by 3078?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 130*n + 135.\nAnswer: -5*(n - 27)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (13658 + 9731 + 3416 - 4023 - 1801)*(0*v + 0*v + v) as q + l*v and give l.\nAnswer: 20981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 969 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a + 105 = 0. Let n = a - -44. Let k = 74 + -38. What is the highest common divisor of k and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j**2 - 43*j + 30. Does 51 divide y(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/1 - (-9 + -28 + 28). Which is bigger: -8\/377 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2109 - -19034. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10457376*u**2*w**2 + u**2*w + 3*u*w**3*y + 15650*u*y + 60*w wrt w?\nAnswer: 20914752*u**2 + 18*u*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 4*y + 10, -n = -y - 0 + 6. Let o be (-1)\/2*(-2 + n). Find the third derivative of h**3 + o*h**3 - 2*h**3 + h**2 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127.3*61.\nAnswer: -7765.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - u + 5, 36*f - 31*f + 5 = -5*u. Let q(t) = 7*t**3. Let g be q(1). Calculate the remainder when 38 is divided by (g - -2) + 3*f\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 - 84 = -26*d + 24. Solve 3*z + f - d = 0, -16 = 4*z + 17*f - 22*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Let v be i\/1*(4 - -3). Solve c = 5*w - 40 + v, 23 = -3*c + 4*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (57\/1)\/(-3) - 24\/12. Let j = -19 - m. Suppose 0 = -5*s + 20, 3*o + 3*s - 16 = j*s. Sort o, -4, -3, -4\/5.\nAnswer: -4, -3, -4\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120043 + 2?\nAnswer: 120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 + 61. Let b(x) = -949*x + 7. Let a be b(o). Suppose 0 = 3*c - 2*f - a, -c + 635 = 2*f - 5*f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60559.8336 milliseconds to weeks.\nAnswer: 0.000100132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1313.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/t**10))**19 assuming t is positive.\nAnswer: t**171","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1095 = -262*a + 1299 + 9228 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11596\/(-26)*8\/(-4)?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25895.\nAnswer: 5, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 2, x: 5, y: 1, u: 6, f: 1}. Give prob of picking 1 j and 1 x.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40537763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2603.703 litres?\nAnswer: 2603703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-14)*(-1 + 1). Let s be (-2 - -2 - i)\/(-2). Suppose -2*z + 9 + 17 = s. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 9*a**2 + 6*a - 12. Calculate p(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 7 - (-2 + 9 - (1 - -10 - -66)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -227, -1158, -2705, -4862, -7623?\n\"Answer: t**3 - 314*t**2 + 4*t + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 8*h**2 + 3*h - 6. Let m be l(8). Suppose -4*a = 2*o + m, -3*o + 13 = -3*a + a. Let t be 4 + 0\/((-1)\/(-1)). Solve -o = -3*u - t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -491309 equal to -4\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3568 - 3577) + (-38 - -4 - -1).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184 and 60?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 4*z**2 + 4*z - 12. Suppose -4*c + 4*d = 4, 4*d - 10 = 2*d. Let r be t(c). Factor 2\/5*u**r + 0 - 6\/5*u**2 + 0*u**3 - 4\/5*u.\nAnswer: 2*u*(u - 2)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -265 + 264. Let v = 0.5 + -0.9. What is the nearest to 0.1 in u, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33383 - -35504?\nAnswer: 68887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5, 0 = i - 2*f - f - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 438, 662, 886, 1110?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/58128 and -35\/32.\nAnswer: 116256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {m: 2, l: 1, w: 5, k: 1, g: 5, r: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 263503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/((-32)\/128).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(6)\/(sqrt(3) + sqrt(3)*-3)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*-1*(61 + -94). Calculate the greatest common factor of s and 1221.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 + 88*j**3 - 4506*j**2 - 194488*j + 198904.\nAnswer: 2*(j - 47)*(j - 1)*(j + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*s = 30, -2*s = -3*y + 10 + 24. What is the second derivative of -4*v**3 - 2*v + y - 4 - 4 wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 1 + 3 - 1)*(4 - 4 + 2*n) - 2 + 2*n**2 + 2 - 3*n + 3*n + 2*n**2 + (-3 + 0 + 1)*(-6*n**2 + 2*n**2 + 2*n**2) + 19*n**2 - 5*n**2 - 17*n**2.\nAnswer: 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5, 105 = 2*s + 3*s - 5*i. Suppose -122 = -2*j + 32. Calculate the remainder when j is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -445, -1781, -4007, -7123, -11129?\nAnswer: -16025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32 - 5c?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 513130.7414 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*c - 73*c - 90*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 7:58 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 25367?\nAnswer: -7610.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, -2, 3, -291 in decreasing order.\nAnswer: 11, 3, 0, -2, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/(2\/(-3)). Let p(d) be the second derivative of -1\/2*d**2 + 3\/5*d**5 + 1\/6*d**3 + 0 - 1\/12*d**4 + 33*d. What is p(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1809, -1814, -1797, -1752, -1673, -1554?\n\"Answer: g**3 + 5*g**2 - 27*g - 1788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 4*w + 45, 122*f + w = 118*f + 60 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3598810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a + 27. Let f(r) = 6*r - 28. Let j(z) = -4*b(z) - 3*f(z). What is the tens digit of j(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 5:02 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(1331) - -1*sqrt(1331)) - (1 + -3*sqrt(1331))) + -2 + sqrt(1331) + -2 + -3 + sqrt(1331)*1 + -3)**2.\nAnswer: -1694*sqrt(11) + 65340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 + 2 = 0. Suppose -3*k + m*d + 0 = -3, -4*k + d + 16 = 0. Solve 5*b - k*n = b - 5, -20 = -3*b - n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5 - 18 = -4*t, -3*t + 2*g = -16. Solve -r + 0*r - 3 = c, -3*r + t*c + 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113494498 to the power of 1\/2, to the nearest integer?\nAnswer: 10653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2897596 and 28119?\nAnswer: 60849516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*m - 736 = -6*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*c - 73. Let s be (-18)\/(-8) + (-9)\/36. Suppose s*x = -x + 18. Calculate the remainder when c is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 31*l + 4. Suppose b - 4*w + 4 = -0*w, 5*b - 2*w + 2 = 0. Let d be v(b). Solve d = 2*o + 3*c, -4*o = -3*c + 3 + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311519 to the power of 1\/2, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3470 = -2*n. Let b be (18\/(-12))\/(5\/n). Let v = 2084 + b. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 9 = 3. Let t(u) = -3*u + 3. Let i be t(-3). List the prime factors of (i - l)\/(-1 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.70683 minutes in microseconds?\nAnswer: 882409800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 31. Let d = -1148 + 3521. Let h be g\/4 + d\/12. What is the highest common divisor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 3*m**2 - 4*m - 3. Give b(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = 5*s - 25, -g - 5*s = -15. Let t be (-6)\/(-30) + 9\/g. Solve -2*o = 5*q - 1, 0*o - 4*q + 8 = -t*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2304323 (base 5) to base 2\nAnswer: 1010000011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3836.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-165)\/(-10))\/((-6)\/(-1071128)). Let l = -2045602 + b. Round l to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.1, -289?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/c**5)*c*c)\/(c**(3\/4)*c)*c**(-1)*c\/c**(2\/23) assuming c is positive.\nAnswer: c**(567\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 398385918 divided by -92691?\nAnswer: -4298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1604 and 1637 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.47, -4\/3, 0.5, -2\/5, 11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(80) + 3*sqrt(80)*1)*2 - -5*(5 + sqrt(80) + 0)))**2.\nAnswer: 93600*sqrt(5) + 509220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v - 39 + 9. What is the tens digit of (162\/(-90))\/(v\/530)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*k - 2. Suppose -h = h - 3*n - 9, 0 = -k*h - 2*n + 33. Suppose -3*g + 0*g + h = 0. Solve -g*r = -0*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**3\/5 + 864*x**2\/5 - 30994*x\/5 + 26724 = 0.\nAnswer: 5, 34, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*m - 2*n, 4*m + 5 = n + 44. Suppose 5*u + 72 = 2*a + 10*u, 0 = -a + 4*u + m. Calculate the remainder when 128 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*m + 20. Let o(j) = j. Let u(t) = -7*t + 22. Let k(b) = m*o(b) - u(b). Differentiate k(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h. Let m(l) = 27*l**2 + l + 1462. Determine m(i(b)).\nAnswer: 2187*b**2 + 9*b + 1462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/304317 and 35\/1156?\nAnswer: 1217268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64 + -4165642?\nAnswer: -4166036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 5) to base 9\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1236*d - 1277*d + 3691*d - 350 = 1248*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27022 = 588*c - 44662 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17904 or -18105?\nAnswer: -17904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-7))\/(-3*7\/6321). Solve 0 = -11*z + p + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(1\/20))\/x)**(-7\/3)*(x**13\/x)**(-6) assuming x is positive.\nAnswer: x**(-4313\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjxxxx. Give prob of picking 2 x and 1 j.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 14*x + 7\/6*x**3 + 0*x**2 + 0. Let h(o) = -10*o - 22. Let j be h(-2). Give z(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 1 = -4*l + 2*l, l + 3*f = -2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 13*b**2 - 49*b + 64. Calculate v(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 294.08.\nAnswer: 2.9408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6635.272 hours?\nAnswer: 23886979.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 22\/79?\nAnswer: 22\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**14*m)\/m**13)\/(m**17\/m**(4\/5)))**18 assuming m is positive.\nAnswer: m**(-1278\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -k + 10 + 3, -3*k = 6*u - 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9888 divided by 1236?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -26 - 14 - -19\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257386073.\nAnswer: 7, 53, 99109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24791779.\nAnswer: 43, 576553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 184 and 24.\nAnswer: 4416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - -4) + (1 - 1). Let c be (o + 7)\/3*-1. Let f be (31\/(-8) - c) + 3. What is the nearest to 1 in f, 0, -4\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d**3\/23 - 69364*d**2\/23 - 184936*d\/23 - 92464\/23 = 0. Calculate d.\nAnswer: -11558, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -14. Let l = -1\/6 + -45\/2. Calculate the common denominator of l and (7\/20*6)\/w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -142 and -4257.09.\nAnswer: 604506.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -6. Suppose -z*d + 21 = -d. Calculate the remainder when 12 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1516.027 times -0.03\nAnswer: -45.48081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 84590609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 9:23 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*q - x - 12, q = -2*x + 16. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/22)\/(4\/(-11))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 295 + 304 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 o, and 2 q when four letters picked without replacement from npnofqqypyfn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.627586ms to hours.\nAnswer: 0.000023229885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(152) + sqrt(152)*-2 + sqrt(152) + sqrt(152)))\/((sqrt(160)\/sqrt(4))\/sqrt(5)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/(42\/12*(-50)\/175).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -576, -728, -982, -1338, -1796, -2356?\n\"Answer: -51*c**2 + c - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/6 + 1 + (-27729)\/(-2106)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59660, 59637, 59600, 59549, 59484?\nAnswer: 59405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -55562005?\nAnswer: 55561665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (236 - 2) + -4 - -1 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 72 = 4*i. Suppose 7*m - 151 = -i. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 369492534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**4 - 240*t**3 + 3090*t**2 - 4600*t - 7935 = 0. What is t?\nAnswer: -1, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1491352949?\nAnswer: 61, 24448409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-one halves of a week?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 127851076?\nAnswer: 6392553.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(12 + 9*n**2 - 12)*(74*n**2 - 74*n**2 + 28 + 2*n**3).\nAnswer: -18*n**5 - 252*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 5, -0.4, -29\/2, 0.0373?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276775818 to the nearest integer?\nAnswer: 16637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -187, -1, -65.7595?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244677525 to the nearest integer?\nAnswer: 15642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 552 + -146. Suppose 0 = -j - b + 1064. Is 47 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - 10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4. Let q be 3*(21\/27 + k). What is the closest to -0.1 in 0, q, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/33 + -94\/231. Which is the nearest to 2\/3? (a) -1\/5 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/47745 and -9\/42440.\nAnswer: 381960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 72611.5ml?\nAnswer: 72.6115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 41*c - 25. Let o be p(-20). Let y(i) = 3*i + 5. Let n be y(-4). Which is bigger: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -10. Let o be -118*(-3)\/(-60)*x. Which is smaller: -23 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkucocku. What is prob of picking 1 u and 1 k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1662 + 3 + 3\/(-3). Let g = o - 188033\/113. Suppose -2*u = 2*f + 13 - 15, 3*u + 9 = 3*f. Is g equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.03177 centuries in decades?\nAnswer: 50.3177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119319768 divided by -144106.\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 6:38 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.7, -0.1, 2\/109, 0, 0.458, 4?\nAnswer: 0.458","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(4*v - v - 5*v)*(0*v**2 + 3*v**2 - v**2) - 5*v**3 + v**3 + 3*v**3 to n*v**3 + m*v**2 + s + x*v and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7393 times -23?\nAnswer: 170039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:07 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 - 30. Let b = 70 - w. What is the nearest to 0 in 0.07, b, -0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 15*v + 7. Let u be x(7). Solve 0 = -u*l - 2*l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15957, 31612, 47267, 62922, 78577, 94232?\nAnswer: 109887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h**2 + h + 19. Let c(d) = -7*d**2 - d - 10. Let z(k) = 11*c(k) + 6*n(k). Let p = 7 - 3. Let t be z(p). Solve s = -t*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 43)\/(-4) - -2. Let o = -1 + 2. Suppose -w + o = -l. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -3 - 3) + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g - 1. Let l be d(4). Let u = l - -33. Suppose -u = -5*r - 5*z, -2*z = 3*r - 6*z + 23. Which is smaller: -2\/13 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -105.8. Let i = -491.9 - -492. What is the closest to d in i, -0.2, -5\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -78?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - m)*(-2 + 0 - 3)*(5 + 482*m - 3 - 546*m).\nAnswer: -320*m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/5589 and -85\/1023?\nAnswer: 1905849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**4\/12 - 5*v**3\/6 - v**2. Let r be k(4). Let m = r - 2. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -52771, 18, 5, -3, -2.\nAnswer: -52771, -3, -2, 0, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616876?\nAnswer: 2, 13, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 133798 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 2 (c) -6\/493\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3 - 0. Suppose -2*d + 5 = y, -2*y + 10 = 3*d - 0*y. Let q be (-4)\/22 - (-4)\/22. Solve q = -d*n + l*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234633307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.039 + -66.039. Let y = -109758070 - -109758135.999951. Let q = y + o. Round q to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 17036004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/363413 and 6\/14725.\nAnswer: 9085325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1353, 323.\nAnswer: 1, 323, 1353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d, -4*d = -4*m + 2*m + 595638. Suppose -4601680 = g + m. Let u = g - -8899493. What is u rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 3*u**2 + 1. Let p be j(-4). Suppose -3*v + p = 2*s, 7*v + 2*s - 24 = 3*v. Suppose -20 = -7*k + 2*k. Solve v*z + 3 = 4*z, h = k*z + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -4*q + 53 - 30, 5*q - 4*t - 30 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: dc36 (base 15) to base 6\nAnswer: 555510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210816240 divided by 66714.\nAnswer: 3160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/3933)\/(((-3)\/3)\/(-12))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -752 divided by 17534.\nAnswer: -376\/8767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332, -331, -328, -323, -316, -307, -296?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3433 = 4*l - 9, 0 = -3*a + 4*l + 2563. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629517459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0091564 - -0.00935. What is c rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 h, and 1 j when four letters picked without replacement from mjjoohohmhgogomoooo.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from hhqqqkhthqqtqhhqqqh?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 40.\nAnswer: 23\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 134 = 18*p - 354 + 138, -3*p + 2*y + 83 = y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*q - 9 = -25, d = -5*q + 29. Suppose 5*h - 463 = -3*g + g, -2*h + 190 = -d*g. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - u - 86773468*u**3 + 86773467*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - -6*(-5)\/90*15. Suppose -4*l - 5*p + 1820 = g, -8*l = -12*l + 4*p + 1820. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1489 = -419*i + 141 - 2004 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -732238974*p - 699685661 wrt p.\nAnswer: -732238974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54699 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**3 + b**2 - 10*b + 1. Let m(n) = 11*n**3 + 3*n**2 - 21*n + 2. Let q(s) = -9*h(s) + 4*m(s). Calculate q(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 1\/(3\/36). Let g be (-4)\/(-6) - 1616\/n. Let f = 936\/7 + g. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -149669 - -6585325\/44. Calculate the common denominator of f and 1\/(-4) - (-9)\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*a + 226004 = 0, 4512 + 221487 = -4*b + a. What is b rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.205 - 0.296. Let c = -0.391 - p. Sort -1, -2, c in increasing order.\nAnswer: -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12442*u - 10807*u - 34335 = 0 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - x = 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 49 - (62 + -37) - 72\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41845 - -41845. Suppose v*w**3 + 0*w + 0 - 2\/9*w**4 + 2\/9*w**2 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adw when three letters picked without replacement from dzaanwwznnwnnwawnaw.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -348 = 51*o - 22*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.351996s in microseconds?\nAnswer: 351996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3*q = -2, 2*z + 48 = -130*q + 105*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 114113967219 + -0.4?\nAnswer: 114113967218.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + (sqrt(252) - (sqrt(252) - (sqrt(252) + sqrt(252) + (sqrt(252) - (0 + sqrt(252) - sqrt(252))) + sqrt(252)))) - (sqrt(343) + -2 + -4)*3)**2.\nAnswer: 66*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**3 - 181*g**2 - 3*g - 7. Let c(w) = -7*w**3 + 183*w**2 + 3*w + 9. Give -3*c(p) - 4*n(p).\nAnswer: p**3 + 175*p**2 + 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17896 divided by 17?\nAnswer: 17896\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 1 + 5*v**3 + 92*v**2 - v - 93*v**2 + 8*v**3. Calculate y(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t**2 - 27*t**2 + 9*t**2 + 0*t**3 + t**2 - 8*t**3.\nAnswer: -8*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 221\/65 - 3 - 126\/(-10). Let d be -22*(-117 + -3 - -1). Suppose -q*w + 1503 = -d. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 1.5. Sort -5, d, -0.2 in descending order.\nAnswer: -0.2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*n - 8. Let s = -2 + n. What is the smallest common multiple of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.464311ml in litres?\nAnswer: 0.000464311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -1 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 1 - 1 + (6*b - 2*b - b)*(-4*b + 2*b + b)*(-18 - 21 + 12) as r*b + a*b**2 + s and give a.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-1 - 3) - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*q + 179*q - 2096 = 0. Solve 0 = -q*k + 30 - 62 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) 5 (c) -5 (d) 2 (e) -1841\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 3 = 4*v. Suppose 4*g = 2*r - 22, -v*r + 14 + 14 = -4*g. Suppose -3*k - 6 = r*k. Is -2\/31 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44562016\/7 or -6366002?\nAnswer: -6366002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -646.234853 rounded to the nearest integer?\nAnswer: -646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*-1719.2\nAnswer: 6876.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -80\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -27455*s**3 - 393 + 54908*s**3 - 27461*s**3 as u + x*s**3 + g*s**2 + t*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - 10?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11011001011101110111 (base 2) to base 9\nAnswer: -1606774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5827 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237103.\nAnswer: 41, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 2 (b) 4 (c) 28 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000429035 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -5*w - f - 16, -f - 12 = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - f + 12. Let m be o(-7). Suppose -5*q + 22 = -m. Calculate the lowest common multiple of q and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vedddedudddduuvde. Give prob of picking 2 u, 1 d, and 1 e.\nAnswer: 81\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/2 + (21 - 17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159*c - 645*c + 335*c to the form g + a*c and give a.\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3374219 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 236967 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 15*k - 30. Let n = 18 - 0. Let q be a(n). Factor -12*l**2 - 17*l**2 + 5 + q*l**2.\nAnswer: -5*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 19*f - 2. Determine y(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 1931 - 1249 = 1132 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 2:00 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -812480 - 1040.\nAnswer: -813520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -18. Let o be (t\/9)\/((-2)\/(-3)). Is 2\/19 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 2. Let v(x) = 1. Let c(y) = -2*j(y) - 5*v(y). Suppose 0 = -u + 2 - 0. Let w be c(u). Sort -2, w, 0 in increasing order.\nAnswer: w, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 9*r**2 + 9*r + 63. Let d be k(10). Suppose -3*a + d = -2*w, a + 430 = 6*a - 5*w. Is 81 not equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -722277 divided by -27?\nAnswer: 26751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158261 is divided by 19774.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) 11\/18 (c) -1\/4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1537729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.4 (c) -5 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**3 + 28*a**2 + 5*a - 10. Let i(t) = 3*t**3 - 19*t**2 - 3*t + 7. Let h(z) = -7*i(z) - 5*n(z). Suppose -g - 3*g = 24. Give h(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -13*w + 12. Let y(r) = 8*r**4 - 3*r**3 + r**2 + 6. Let s(u) = 9*u**4 - 4*u**3 + u**2 + 7. Let l(c) = w*s(c) + 7*y(c). Factor l(k).\nAnswer: k**2*(k + 1)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*sqrt(325).\nAnswer: 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 284, 0.3, -3, -3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 15*i + 6. Let l be 12\/(-28) - 190\/14. Calculate p(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(-5)\/(-125)*-5*4. Solve 4 - 24 = -u*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290259421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7314678001\/992 + 7373672. Let x = -128\/31 + j. What is the common denominator of 125\/36 and x?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 692988 and 16082.\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 712, 4256, 13538, 31426, 60788, 104492, 165406?\n\"Answer: 478*g**3 + g**2 + 195*g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 6. What is the remainder when 27 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 4, r: 16}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 768 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29346 - 29337. Which is the third smallest value? (a) 2\/19 (b) -6 (c) 2 (d) h (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-18) + ((-471408)\/432)\/(-61)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2244\/(5 + -1) + -1?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5 = -20. Let r = 10 - 0. Let l(d) = 16*d - 3 + r*d - 27*d. Calculate l(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -338 + 238.9. Let l = 99 + d. Which is the nearest to l? (a) -0.2 (b) -1\/12 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -6. Suppose 4*s - 5 = y. Suppose m + s*m = 24. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 15*p**5\/2 - 303*p**4\/2 + 225*p**3\/2 + 2427*p**2\/2 - 1956*p + 342 = 0.\nAnswer: -3, 1\/5, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -49*o**2\/2 + 7*o + 41. Is f(-4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.8 + 14.8. Put v, -0.3, 0.4, -10\/11 in descending order.\nAnswer: v, 0.4, -0.3, -10\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -18. Let t = -6.93 + b. Round t to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -144. Let x = -127 - o. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 1. Let h(p) = -6. Let x(y) = -h(y) - 5*k(y). Let f = -3 - -2. Determine x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2529898 and 91217.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 0 - (-6 - (-2 - -8 - 18))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1782\/(-138) + 23\/((-8464)\/32).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3664.513 rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 17, r: 3}. What is prob of picking 2 t?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6423, 7061, 7699, 8337?\nAnswer: 8975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 0*b**2 + 0*b**2)*(2*b**3 + 0*b + 0*b) + b**5 - 2*b**4 + 2*b**4 + 590 + 2076*b**5 - 2079*b**5 + 578.\nAnswer: 2*b**5 + 1168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -316*l - 7*l**3 - 242*l + 4*l**3 + 978*l as f + x*l**3 + v*l**2 + i*l and give i.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 12*m**2 - 15*m - 22. Let i be p(-13). Let s be (2 + -1)*(2 + 2). Solve j - s*n = 9, -j + i*j - 3*n = 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221742 and 773478?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 14*b = -4. Let k(a) = -75*a - 3. Let h be k(b). What is the greatest common divisor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0881 - 53.2119. Let n = -65 - p. Round n to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c**2 + c + 11. Let a(h) = -25*h**2 - 4*h - 30. Let t(j) = 6*a(j) + 17*n(j). Let k(g) = 0*g**2 - 2*g**2 - 3*g + 3 + 4*g**2. Give 7*k(o) - 3*t(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(1\/5))**(2\/5))**15 assuming u is positive.\nAnswer: u**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + a = -665, 165*u - 2*a + 166 = 169*u. Suppose 319 = 5*s + 4*b, 0*b - 127 = -2*s - b. What is the remainder when s is divided by u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -1 + -133 + 141?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26 and -417135.\nAnswer: -417161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27676 and 352?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - k - 2. Let j be t(-2). Let c = j - -4. Suppose 2*i + s + 2 = c, s = i - 2*s - 13. Solve 3 = z - i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 11, -41\/11 in increasing order.\nAnswer: -10, -41\/11, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -0.33376.\nAnswer: -13.33376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10332 and 2870?\nAnswer: 51660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*f + 18*f - 2*a - 6, 3*a - 77 = -23*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 124 - 59. Let h = -17.5 + 13.5. Is f > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 6:11 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-7))\/(j**25\/j))\/(j\/(j\/j**(2\/5)))**33)**46 assuming j is positive.\nAnswer: j**(-9936\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -11. Suppose 5*q - l = 3*g, 3*g + q = -g - 18. Let b = g - -10. What is the least common multiple of 1 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 27402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 1\/11 (b) -251 (c) -424\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 164811\/36 + 2. Let a = u - 4590. Let w = 1\/213501 + 4625843\/2562012. Calculate the common denominator of a and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**5\/20 + p**4\/8 - p**3 - 15*p**2\/2 - 12*p. Let g(r) be the first derivative of w(r). Factor g(t).\nAnswer: 3*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + g**2 - g + 1. Suppose 5 = 4*s - 5*r - 19, -3*s + 15 = -3*r. Let y be k(s). Solve y = -w + p, 0 = 4*w - 2*p - 3*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 2*x - 3*x)*(-3 - 3 + 4)*(6 + 3 + 7)*(2 + 12 - 5)*(2*x**2 - 5*x**2 - x**2) in the form c + t*x**3 + z*x**2 + v*x and give t.\nAnswer: -2304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2764 + -2763. Sort -1\/21, 1\/9, p, -1\/2 in decreasing order.\nAnswer: p, 1\/9, -1\/21, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4583 + -4580. Let p(x) be the second derivative of -10*x**2 + 29*x + 0 - 7\/3*x**y. What is the derivative of p(b) wrt b?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r. Let y(c) = -6*c. Let j(a) = -21*q(a) + 3*y(a). Let t be j(1). Find the second derivative of -4*f**5 + t*f**5 - 3*f + 4*f wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 * 116.8\nAnswer: -3387.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -138 and -20.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*g**2 + 196*g - 196*g)*(22*g + 13 - 6 - 20*g).\nAnswer: 62*g**3 + 217*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 910727 + -910727.2660254. Let z = j + 0.266. Round z to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 532, -1\/10, 0.106, -28\/5?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 175, 638, 1409, 2488, 3875, 5570?\n\"Answer: 154*h**2 + h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (320\/(-6))\/(-4)*((-138)\/5)\/23?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 6:30 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/627)\/(8\/22)*-2*23.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 1. Suppose -2*x = 2*a - 3*a - 2, -5*x + 2 = -4*a. Suppose -x*y - k + 12 = 0, 4*y - 6*k = -k - 4. What is l(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000 - -1111100110000111111011?\nAnswer: 1111100110000110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -615\/11. Find the common denominator of k and 69\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4*h, -16*h + 14 = 4*g - 13*h. Put -10, -2, g, -4 in decreasing order.\nAnswer: g, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b + 148*b**3 - 27*b - 42*b**3.\nAnswer: 106*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*t + 3*t - 3*t - 154 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p - 66. Let l be b(-19). Let v be (-2)\/l - 1\/(-5). Put v, -4, -12 in descending order.\nAnswer: v, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10665.1431 milliseconds in days?\nAnswer: 0.00012343915625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**8)\/((l**(-2\/15)*l)\/l)*l**(-1\/4)*l*l**(-1\/6))**(-3\/5) assuming l is positive.\nAnswer: l**(377\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158*a + 1302*a - 1083 + 75 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/219898 and 5\/417.\nAnswer: 659694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -9872102a?\nAnswer: -98721026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.078 + -0.078. What is the closest to -1 in 0, -4, q, 204?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*g = -34*g + 75 + 375 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*c + 30 = 0, 5*i - 2*c + 9 = 8*i. Solve -i*n + 2*r + 23 = 0, n = -3*r + 5 + 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -10\/4260523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2) + (-588)\/(-343).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -4 + 1 + 2. Suppose -3*z + 5*z = f. Find w, given that 2\/7*w**2 - 2\/7*w + z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-13 + -2 - -9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -3421 (b) -0.26 (c) -0.4 (d) 0.5 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/5)*r)\/r*r)**(-49)*(r**3)**42)**(-15) assuming r is positive.\nAnswer: r**(-861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 1. Let d be o(1). Let v be 8\/d + 5\/15. Suppose -3*x - j + 16 = 0, -3*x = v*j - 3 - 9. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/72*1*(-1794)\/46.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l**2 - 5*l + 4. Let v be r(1). Let i(b) = -b**3 - 2*b**2 - 2*b - 1. Determine i(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/7 (b) 3.265 (c) 3 (d) -350 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 5*g + 1 + 0 - 5*g. Let z(s) = 10*s - 6. What is 11*j(r) + 2*z(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -28a (base 15) in base 8?\nAnswer: -1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i. Suppose 4*n + 2*g = -6, g + 5 = 5*n + 2. Let a be w(n). Suppose -j = -a*j - 5. What is the biggest value in j, 4, -8\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 16 + 20*q**2 - 35 to d + t*q**2 + w*q and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 8:43 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Suppose u = 3*k - 2*k - 68. Suppose 0 = -0*g - 4*g + k. Calculate the greatest common factor of g and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 807 (base 12) to base 13.\nAnswer: 6b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1756\/(-16) - 1\/4. Calculate the remainder when 59 is divided by -9*(-9)\/5 + 22\/t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**7\/2520 - h**6\/540 + h**5\/90 + h**4\/9 + 29*h**3\/3 - 2*h**2 - 1. Let v(b) be the first derivative of m(b). Factor v(w).\nAnswer: -(w - 2)*(w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxc when three letters picked without replacement from cxxxp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 3:21 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 65\/55 - (-2)\/(-11). Solve i = b - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, b: 9}. Give prob of sequence yb.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*d - 31, 0 + 3 = -4*z - d. Let m = z + 2. Suppose -6*p + 2*p + 8 = 0. Solve -6*a + p*k - 11 = -3*a, m = 2*a + 4*k + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/38*(-36)\/(-6)*4\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 14 - 7 + 4*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*y - 14. Suppose -31 = -y*r + 1. Suppose -r = -3*k + 2*f, 8*k - 18 = 3*k - f. Let m(n) = n**2 - 4*n - 3. What is m(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011 + 1000011010101010110?\nAnswer: 1000011010101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 120714, 482865, 1086452, 1931475, 3017934, 4345829?\n\"Answer: 120718*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124168904 and 552?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.017? (a) -0.06 (b) -1 (c) -2\/5 (d) -1\/6 (e) -22 (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 151542134 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -61 + (65 - -5 - 12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s + 50*s = -20. Suppose -5*t + 4*b = -5 - 3, 4*t - b - 2 = 0. Put t, s, 3 in decreasing order.\nAnswer: s, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/14 + (-28356)\/(-952). Suppose 2*i + 20 - 142 = -4*m, 48 = m + 4*i. Suppose 0 = s*o - m*o - 98. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + n. Let k(c) = -48*c**2 + 11*c - 3. Let y(i) = k(i) - 4*o(i). What is the second derivative of y(h) wrt h?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*o + 3, j = 6*j + 4*o + 1. Calculate the greatest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j**2 - j - 9. Let n(t) = -4*t**2 + t + 4. Let k(b) = -3*c(b) - 7*n(b). Let u be k(5). Let x = 3 + -2. Solve -x = u*h + 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.987 + -15.987. Which is the nearest to p? (a) -1\/3 (b) -0.4 (c) 3 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 - 33757?\nAnswer: -34014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -106664 and 37.6?\nAnswer: 106701.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l - 9 + 9 - 3*l + 4*l + l + (-4 - 2 + 3)*(0 + 0 - 2*l) as b*l + u and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 (base 11) in base 5?\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adhdaasdqdhqahdaaqv. What is prob of sequence qsqv?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 3:42 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 20658*d + 35562747.\nAnswer: 3*(d + 3443)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 2. Let b(p) = -p**3 + 6*p**2 - 206. Determine -b(j) - 6*v(j).\nAnswer: j**3 + 218","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6 + (-477)\/81 + (6 - 1286980\/(-18)).\nAnswer: 3, 5, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 99, 26, 920 in ascending order.\nAnswer: 5, 26, 99, 920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/1625*10\/4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10561852?\nAnswer: 2, 7, 53887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32.04 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68249990 rounded to the nearest one hundred thousand?\nAnswer: 68200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*k = 3*g - 42, 5*k = -2*g + 35. Let i be 0\/1 + 0\/g. Factor 4\/5*x**3 - 2\/5*x**5 + 0*x**2 - 2\/5*x + i*x**4 + 0.\nAnswer: -2*x*(x - 1)**2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(3\/(-6)*(-4)\/23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.72 - -4.82. Sort -1, -1\/8, l in descending order.\nAnswer: l, -1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-11 - 1))*(-231)\/(-132). Let u = v - -9. Let n(c) = -3*c - 19. What are the prime factors of n(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/2 in 38, 2\/5, -0.074, 5, 6?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001110 + -111110001111?\nAnswer: -110100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15\/45 - ((-10)\/6 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -310 + 310. Suppose -2*o - 3 = 7. Sort -4, p, -17, o.\nAnswer: -17, o, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l - 16 = 42*l. Let x(q) = 2*q**3 - 6*q**2 + 4*q - 1. What is the remainder when x(4) is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -19. Let l be (-20)\/75 + (-4)\/u. Sort 0.2, -2, l in descending order.\nAnswer: 0.2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33650 (base 7) to base 16.\nAnswer: 2171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*(c\/(c**(-5\/8)\/c*c))\/c*c*c))\/(c**15*c))\/(c**13*c)**(24\/5) assuming c is positive.\nAnswer: c**(-3433\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**6\/60 + 9*h**4\/8 - 58*h**3\/3 - 86*h**2. Differentiate n(o) with respect to o.\nAnswer: -6*o**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 44.21. Let h = v + 92.79. Let j = h + -93.000000082. What is j rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -1. Suppose 4*c + 2*r = -8, 2*c = i*c - 2*r + 6. Let a(j) = -7*j + 2. What is the lowest common multiple of 20 and a(c)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 551 + -551. Let o be ((-8)\/(-12))\/(2*53). Which is greater: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376473132 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*n + 9 = 0, -5*h - 5*n + 5 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6331 * 19\nAnswer: -120289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 570363982 to the nearest integer?\nAnswer: 23882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -1) + -70 + 70 - (-56 - 8).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6228*i**2 + 6214*i**2 - 12468*i**2.\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1899*n**2 + 12 - 1741*n**2)*(n**3 - 3*n**3 + n**3).\nAnswer: -158*n**5 - 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48, 44, 30, 0, -52?\n\"Answer: -p**3 + p**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73*3.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 405097 and 220962.\nAnswer: 2430582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 0 (c) -0.5 (d) -31537 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r - 4*n + 948, 0 = 3*r - 4*n - 746. Let d = -95 + r. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317 + 84 = -29*r - 1 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45.47 + 45. Let p = -23.47 - f. Let x = -28 - p. Which is smaller: 2\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 11) to base 12\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((2613\/156)\/67)\/(3\/(-228))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3361\/24 - 140. Let y(m) be the third derivative of 3\/16*m**4 - 4*m**2 + 1\/6*m**3 + p*m**5 - 3\/80*m**6 + 0*m + 0 - 1\/60*m**7. What is r in y(r) = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -698, -1764, -3252, -5162?\nAnswer: -7494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 2, 2\/9, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-585)\/(-11) - 24\/132. Suppose -n = -7*m - 39. Which is smaller: -110 or m?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15347, 15138, 14933, 14732, 14535, 14342, 14153?\n\"Answer: 2*z**2 - 215*z + 15560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-2 + 0) + -38. Let h be (-8)\/3*(-3)\/y. Which is the closest to -1\/4? (a) -0.5 (b) h (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187*j + 101*j - 8 + 8 to the form z + d*j and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3246 is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13)*1 + -2)**2.\nAnswer: -12*sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 2*v**3 - 2*v**3)*(-2 + v + 2) - 6*v**4 + 4*v**4 - 4*v**4 + v**2 + 2*v**4 - v**2.\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44997?\nAnswer: 3, 53, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85525 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-1 - 2) + 1 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 42 + 13 + -14 + -125?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2)*f*f**(-3\/2)\/f*(f**1)**5 assuming f is positive.\nAnswer: f**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:28 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 9*z**2 + 7*z + 6. Let c be 5\/(-20) + 62\/(-8). Calculate the smallest common multiple of 18 and y(c).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 128 = 3*v. Suppose 21*j + 660 = v*j. Calculate the remainder when j is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002994 rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 644783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 113*j + 31 = 111*j, q + 2*j + 11 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 - -29. Let l = 11 - w. Suppose l + 416 = 4*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 243507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1b2d (base 16) to base 2\nAnswer: -1101100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*o**3 - b**3 + 13*b**2*o**3 - 3*b*o**3 + 84*b*o**2 wrt b.\nAnswer: 6*b*o**3 - 6*b + 26*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*u - 25*u - 22*u - 4*u - 5*u.\nAnswer: -105*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107959?\nAnswer: 47, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/8806916 and 23\/26.\nAnswer: 114489908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**5\/60 + 5*l**4\/8 - 2*l**3 + l**2. What are the prime factors of f(8)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {n: 1, v: 9, w: 1, q: 3}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 - 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(19871\/(-558) + 36).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 4*u, -4*r + 2*u + 15 = 3*u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*h**2 + 55*h**2 + h**2 + 40*h**2 - 395 - 10*h**2 + 36*h with respect to h.\nAnswer: 130*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i = -36. Let n = i - 30. Solve 13 = 2*w + 3*g, 5*w - n*g = -3*g + 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, -1, -1670 in descending order.\nAnswer: -1, -5, -9, -1670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*4\/2*(-1794)\/(-69). Let t(f) = -61*f - 1. Let k be t(-1). Calculate the greatest common divisor of h and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70683374059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 706090230397 and -0.1?\nAnswer: 706090230397.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*v - 63*v = 164. Let o = v - 490\/3. Let f = 228\/749 + -2\/107. What is the closest to o in 2\/3, f, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - 10*r + 21*r + 29*r + 29*r.\nAnswer: -3*r**2 + 69*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-24)\/36))\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 158038006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1295\/9 - -144. Let o = -0.3 - -0.4. What is the nearest to o in r, 2\/17, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23349 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*z - 4, -6*z + z = 5*q - 50. Let m(b) = 5 + 2 + 7*b - 354*b**2 + 835*b**2 - 490*b**2. Let j(d) = -4*d**2 + 3*d + 3. Give q*m(u) - 14*j(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 + 6*u - 5. Let m(p) = -10*p**2 + 17*p - 14. Let q(x) = 11*f(x) - 4*m(x). Is q(2) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = h + 4*m, -m = -5*h + 220 - 215 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5)**(8\/3) assuming a is positive.\nAnswer: a**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/21*(-63)\/45.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 52\/487 (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 1\/16, -4, 113?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -748 - 984. Is 3*1 + 1\/((-1)\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529715 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.95 + 15. What is the third smallest value in -3, -2\/3, a, 3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3831972.35 rounded to the nearest one thousand?\nAnswer: 3832000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371593 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2438514*c**2*z**2 + 7*c**2 - 280*c*z**2 + 7*c*z + 3001*z wrt c.\nAnswer: 4877028*z**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1350700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 101.952320347 + 0\nAnswer: 101.952320347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -432, -892, -1380, -1896, -2440?\n\"Answer: -14*o**2 - 418*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 697, 1351, 1961, 2527?\n\"Answer: -22*l**2 + 720*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -g + n + 3, -g + 5*n = 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 17}. Give prob of picking 2 m.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1041781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15116054 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 + 203. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2909776?\nAnswer: 2, 23, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 4:08 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 + -77 - -17) + 58?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*d + 36, -3*d + 6 - 39 = 3*j for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/23751 and 179\/104963586?\nAnswer: 314890758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**9*w*w**(-3\/2)\/w*w assuming w is positive.\nAnswer: w**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 11:32 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)\/q)\/q**(-1\/7)*(q\/q**(-2))**(-3\/5) assuming q is positive.\nAnswer: q**(-349\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3436\/9 - -382. Let x = 15 - 11. Suppose 7*s - 3*s + x = 0. Sort 2, s, q.\nAnswer: s, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/6)\/((-4)\/(-6)). Let o = 33 - -5. Suppose -47*h = -49*h + o. Solve -t*p = -0*j + 3*j + h, -p + j = -1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1657, -9, -1 in decreasing order.\nAnswer: -1, -6, -9, -1657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 16*p + 17. Let a be x(-15). Find the third derivative of -14*q + 14*q + 8*q**3 + 5*q**2 - a*q**3 wrt q.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/15 (b) 0.4 (c) 0.13 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3067 minus 313.8?\nAnswer: 2753.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -31573*c + 3157310. What is a(100)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 15332*i**3 - 11*i - 26. Let k be a(-2). Round k to the nearest 1000.\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1 = 4*a + 3, 2*a = -f + 4. Suppose -2*x - 3*v + 2*v - 2 = 0, -5*x - 2*v - 3 = 0. What is the remainder when a is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -49599, -49600, -49601, -49602, -49603?\n\"Answer: -c - 49598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 363 = 62. Suppose o*r - 16*r - 72297 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 - 98.7. Which is the nearest to 2\/25? (a) l (b) 2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -40, -35, -28, -19, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + 6 + -8 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyy when three letters picked without replacement from {r: 4, y: 2, z: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 (base 5) in base 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -20 (b) 2\/5 (c) -8 (d) 4 (e) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypppyyyyypyp. What is prob of sequence pyy?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 24*y + 4 = 0. Let x = -3 - -28. Suppose 2*a + y*s - x + 1 = 0, -3*s = -4*a + 34. Solve -5*w - a = 4*b - 5*b, -4*w - 8 = -2*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 7 + 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -2*h - 4, -2*h = -4*o + 22. Let g(b) be the second derivative of -5\/2*b**2 - 1\/12*b**4 + 2\/3*b**3 + 5 - 6*b. What is g(o)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 3050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 49*w**5\/60 - 494*w**2. Let d(b) = -b + 2. Let x(y) = 12. Let n(c) = 6*d(c) - x(c). Determine n(l(v)).\nAnswer: -294*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16.71 + -2\nAnswer: 14.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 30 = -5*p - 4*t, -5*t = 5*p - 40. Suppose 3*g = 5*m - m - 273, p = -g. Find the common denominator of (m\/144)\/(-11)*(-5)\/(-2) and 29\/20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46363*s**2 + 2*s - 6672.\nAnswer: -92726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 2464.655979818?\nAnswer: -2473.655979818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*x - x + 10, 0 = -2*v - 3*x + 6. Let f(y) = -y**2 + 5*y - 1. Let j be f(4). Suppose j*b + 4 - 13 = 0. Solve 0 = -b*n + v - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 2, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 32\/109401?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411133 (base 7) in base 16?\nAnswer: 2dd2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 2685819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5196206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2263315, -4526629, -6789945, -9053263, -11316583?\n\"Answer: -l**2 - 2263311*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-35)\/(-14))\/((-9)\/12). What is the closest to 0.1 in -1, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1731093, 1731683, 1732273, 1732863, 1733453?\n\"Answer: 590*z + 1730503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.2, -0.3, -259\/13, -0.5 in decreasing order.\nAnswer: 4, -0.2, -0.3, -0.5, -259\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = t - 2*h, -h - 4 = 4*t + 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 8:03 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 1 - 47*s.\nAnswer: -47*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y - 4. Let k be l(1). Solve -2*p + k = -0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 53 = 2*l, -4*l + s = -3*s - 120. Suppose l*j + 801 = 38*j. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**2 - 2*v. Let z(s) = s**2. Let j(k) = b(k) + 2*z(k). What is the remainder when 11 is divided by j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 3*a**2 + 49*a - 3. Let l be r(0). Put 2, -1, l, -2, -18 in ascending order.\nAnswer: -18, l, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 11*z + 8 = 0. Let u be (-1 + 6 - z) + (-3)\/1. Solve 2*a = -2*a - u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -18*h**3 + 3*h**2 - 33*h - 58. Give u(-2).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/10*(-4)\/(-35). Which is the smallest value? (a) 4 (b) -2\/13 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10546872 to the nearest integer?\nAnswer: 3248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 72365.\nAnswer: -11\/72365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 4*m**2 - 4*m - 3. Let q be z(5). Suppose 4*j + 2*s = 326, -2*s = q*s - 12. What is the highest common factor of j and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3343122301 (base 5) to base 3\nAnswer: -111220201110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5032 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**3 + v - 4. Let h be n(2). Factor -82*t**2 + 41*t**2 - h*t**2 + 450*t**3 - 41*t**2 + 8*t.\nAnswer: 2*t*(15*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3017, 9401, 15785?\nAnswer: 22169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-three tenths of a milligram?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -396*c**2 + 2744*c + 182. Give y(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h**2 - 3*h. Let w be g(3). Let x = 11 + -16. Let z = 14 + x. Calculate the highest common factor of z and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(4 - 2)*16\/(-8). Let x be 29\/(1 - (3 + -3)). Find the third derivative of 42*l**r - 27*l**6 - x*l**2 - 29*l**6 wrt l.\nAnswer: -1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6436083 + 54229.\nAnswer: -6381854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.1. Let h be 1\/8 + (-1 - -1). Let r = 145 - 145.5. What is the closest to w in h, r, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326680 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*n + 189*n + 639 = 725*n - 88*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-three eighths of a centimeter?\nAnswer: 28750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*7 - (-1968)\/(-328). Let r(w) = w**2 + 14*w + 7. Give r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*h + 3 = 18, -25 = 5*h. Solve k*a + 27 = 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 2*p + 34 - 2*p in the form b*p + u and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225071 and 96940?\nAnswer: 589686020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/84*-2)\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4540 - 884 = -135*x - 1374 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 12*y - 17*y = -23, 9*a - 3 = -7*y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1293374*y. Let l(z) = -2*z - 25. Determine l(q(o)).\nAnswer: -2586748*o - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570\/1900 + ((-3135)\/50)\/(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 303 - 202. What is the remainder when g is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 562520 - -81719. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q**(1\/8)\/q))\/q*q*q**1*(q**(1\/2))**31)\/(((q*q*q\/q**(-2\/5)*q)\/(q**(-2\/3)*q))\/(q*q**(2\/13)*q\/(q*q*q\/q**6))) assuming q is positive.\nAnswer: q**(31921\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111001100101000101111110 + 10?\nAnswer: -100111001100101000101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49576 - -ba?\nAnswer: 49674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31427 is divided by 946?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 35*p**2 + 39*p - 34. Determine h(36).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -65160509\nAnswer: -5\/65160509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 15*z**2 + 14*z - 21. Let n be f(-14). Let c be (10\/8)\/((-95)\/(-20) + -5). Put 1, n, c, 3 in decreasing order.\nAnswer: 3, 1, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10198 + 10197.99995583. What is l rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 6*c**2 - c - 26. Let d be h(-5). Solve -d*p = -p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c + 6. Let y be w(-6). Suppose l + 42 = -4*x, -l + 0*x = -2*x + y. Let g be (-258)\/l - 2\/(-5). Calculate the greatest common factor of 45 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -115572 at least -115574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40050 is divided by 124.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*6\/270*12\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 334257879*o + 317410165.\nAnswer: 334257879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*v + 8 = 5*v, 4*j + 4*v = 0. Solve 0 = t - j*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-1))\/(2\/10). Let w(t) = -8*t + 7. Let s(l) = -160*l - 1126. Let j be s(-7). Let i(z) = -3 - 2*z - 3 + 9*z. Determine d*w(c) + j*i(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d - 1. Let v be (6\/5)\/(6\/20). Suppose 0 = -3*x + v*g + 18, 0*g + 17 = 4*x - 3*g. Let n be h(x). Solve c - n = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17367 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 + 2*k + 1. Let p be y(-1). Let l = -3 + 2. What is the closest to -2 in -4, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/9 + 4994*l**2\/9 - 79448*l\/9 + 46312\/3 = 0.\nAnswer: 2, 14, 2481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -14*j + 12263. Let g(h) = -21*h**2 + 4. Calculate o(g(q)).\nAnswer: 294*q**2 + 12207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 5. Let n(x) = -x + 6. Let l(t) = 6*m(t) - 5*n(t). Let j(f) be the first derivative of 0*f + 89 + f**2 + 23\/3*f**3. Determine l(j(w)).\nAnswer: -23*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 6*n**2 + 3. Let q be f(-3). Let h = q - -40. Suppose -h = -7*g + 3*g. Solve -2*z + g = 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 769 - 763. Suppose 2 = -54*b + 55*b + 5*p, -3*b + m = 2*p. Solve -2*h + 5 = -3*t, t - 2*h - b + 1 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 68778, 68658, 68538, 68418, 68298?\n\"Answer: -120*h + 68898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -2119910.\nAnswer: -2119909.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 775 plus -3868373?\nAnswer: -3867598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647*d + 586*d + 7993 - 37585 = 0 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 86*n**2 - 483*n - 287. Calculate x(-80).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 92*x - 10313. Calculate u(112).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 1. Let g = 3686 + -3690. Let l(t) = -t**3 - t**2 + t + 4. Calculate g*w(z) - l(z).\nAnswer: -3*z**3 + z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -63, -91, -117, -141?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/13338 and 127\/19152?\nAnswer: 746928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281932754 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-51)\/(-2)*(-2800)\/(-420). Calculate the greatest common divisor of 70 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87802\/19 + -413223\/190. Let y = 2440 - v. Find the common denominator of (26\/(-4))\/(33\/18) and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/((-4 - -12) + -7) - 2. Let l(m) = -m**2 + 20*m - 22. What is l(d)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*g + 6 = d, -4*g - 2 = -d. Solve 0 = -d*q - 3*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21287 - 21097. What is the remainder when 3416 is divided by q?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*h + 12 = 134*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1112 + -0.1524852971.\nAnswer: -1112.1524852971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1246\/1020 + (-3692)\/2840?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(15\/40*8). Solve 0*r + r + 3 = v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 9*f**2 + 12*f - 7. Let a(h) = h**3 + 16*h**2 - 19*h - 24. Let n be a(-17). Let k be m(n). Are 13 and k unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 7072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96095.\nAnswer: 5, 19219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 122 + 114 = -2*w, j = w - 4. Let f be (-4 - (-1 - 1))*-2. Solve 0 = w*b - f*l - 8, -5*l = -4*b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*s - 3077*s - 515*s - 3377*s to the form w + i*s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2213020 (base 7) in base 10?\nAnswer: 272356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, -1\/10, -5, -115, -2, 2\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 2*a + 16. Let g be y(-2). Sort -115, 0, g in decreasing order.\nAnswer: g, 0, -115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 632850 and 45.\nAnswer: 1898550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/9398680 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 148878557 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 0*o**3 - 467*o - 36 - 7 + o**3 - 20*o**2 + 489*o. Calculate f(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.8 + 1.2. Suppose 5*k - 3*m + 13 = -0*m, -5*m = -4*k. Let j be 1\/(-3)*12\/8. Sort z, k, j in descending order.\nAnswer: z, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9*-24 + 14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 1:08 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4336218 to four decimal places.\nAnswer: 0.4336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipi when three letters picked without replacement from {g: 2, p: 1, w: 1, i: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/64 and (-2)\/1*-2*(-53)\/28.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1364 is divided by 342.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -558946*s - 456321 with respect to s.\nAnswer: -558946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*12\/(1 - 2). Suppose 5*q - 56 = -2*a, -13*a = -30*a + 20*a + 6. Do b and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513763829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 0 + 1)*-4. Let x = -5 + 9. Solve -x*c = -5*t - 6, -s*t - 1 = -3*c + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -2\/5 (c) 0.03 (d) 1\/4 (e) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4407466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = q - 374, q + q - 4*j = 748. Let r = -279 + q. Calculate the smallest common multiple of 5 and r.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-30 - ((54 - 50) + (8 - (3 + -1)))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 c, and 1 q when three letters picked without replacement from rezzqccq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 17 = -5*x, -4*x - 20*z - 9 = -23*z. Let n(a) = 4*a - 1. Let w(u) = 3*u. Suppose -13 = -4*g - 5. Calculate g*n(c) + x*w(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 116321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 20*y - 9. Let b be w(6). Suppose 3*d + 222 = 5*h + 78, 0 = 4*h - d - b. Suppose h*a - 24*a = 111. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 83 in -5240, 2\/5, 3, -4, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -44. Calculate the remainder when f is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - u**2 + u + 2. Let b(r) = -2*r**3 - 39*r**2 - r - 2. Calculate -b(z) - l(z).\nAnswer: z**3 + 40*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-45) + 78\/105?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -17, -28?\n\"Answer: -11*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 812 times 2\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2 - 11*n - 6. Let t(z) = 4*z**2 + 10*z + 6. Let p(h) = -3*s(h) - 4*t(h). Suppose 16*o + 42 = -38. Determine p(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 157120\/10 - (1 + 3). What is the highest common factor of 132 and n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, g: 6, l: 6, v: 1}. Give prob of picking 2 h and 1 v.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = -0*x. Let l = 8 - x. Suppose -6*d + l*d - o = -75, 0 = 2*d + 3*o - 35. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-101 - -97)*((-3932331)\/(-320) + 0). Let o = 49153 + w. Find the common denominator of o and -69\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 5*y - 11. Let f be r(-7). Suppose -2*i - 1 = -3*i. Solve -n - i = -f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203 - 187. Calculate the highest common divisor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 22. Let j be g\/16*2\/3. Which is smaller: -0.2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 687312954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, -21, -52, -95, -150, -217, -296?\n\"Answer: -6*j**2 - j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28680 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - ((-1 - 0) + -1). Let s = 4 - m. What is the units digit of (30\/25)\/(s\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 139*n**2 - 1. Let c be j(1). Suppose -209 = -3*z + 3*p + 13, -4*p - c = -2*z. What are the prime factors of z?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 8:15 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1.9. Let v = -8 + 6. Which is the closest to p? (a) 5\/6 (b) v (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + 0*x**4 + 3*x**4 + (x**3 + 2*x**2 - 2*x**2)*(136*x - 23*x - 390*x) + (5*x - 5*x + x**3)*(-2*x + 3 - 3) + 0*x**2 - x**4 + 0*x**2.\nAnswer: -277*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1350216865?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y + 24. Let n be x(-9). Let f be -3 - 63\/12 - 3\/n. Let d be (2 + (-3)\/3)*(-2 - f). Solve d = 3*w - 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/30)\/(7\/(-5)). Which is the nearest to r? (a) 3 (b) 0.4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-78) + (310\/13 - 3). Solve 6*j - q = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/3 + 15427*w**2\/3 + 15428*w\/3 = 0.\nAnswer: -1, 0, 15428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 35\/2 (b) 0.1 (c) -4 (d) 5 (e) 2\/3 (f) -5\/4 (g) -0.177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150 + 197. Do k and 48 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 7:06 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 q when three letters picked without replacement from qoouoaqoz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 5*p = 2*h - 6, -4*h = -4*p + 8. Let x = 1.3 - 0.3. Which is the fourth biggest value? (a) x (b) -0.4 (c) 1\/2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -627276*f - 281 + 627378*f + 1004 wrt f.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8737 + 0?\nAnswer: 8737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/7 + 172*x + 2392\/7.\nAnswer: 4*(x + 2)*(x + 299)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q + 18. Let f be u(-10). Let g = 105\/2 + f. Which is the nearest to -3\/2? (a) -5 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12609348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1194 times 1.8?\nAnswer: -0.21492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4879409*c. Let h(q) = 24*q + 6. Determine b(h(y)).\nAnswer: -117105816*y - 29276454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in -10, 14, -1\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -218816, -218809, -218802, -218795, -218788, -218781?\n\"Answer: 7*r - 218823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5035, -10207, -15501, -20899, -26383, -31935, -37537?\n\"Answer: 3*s**3 - 79*s**2 - 4956*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8207140 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2398\/7 + -342. Let t = -2.19 - 34.11. Let f = -36 - t. Which is the closest to m? (a) f (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - k**3 - 2)*(16 + 26 - 35 - k) in the form t*k**3 + h*k**4 + i + p*k + r*k**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 + 395018 + (16 - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 338*j - 3040. Let o be v(9). Solve -2 = o*f, 6*h - 8*h - 5 = -f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 17*v**3 - 2*v**2 + 1. Suppose -3*x - 1 = 2. Let m be r(x). Let q be 8\/4*m\/(-12). Solve -q*b = -b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/14 in -6, -3, -1\/4, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9171 - 0.0829. Is 266 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 1, 5, 2, 13130, 13.\nAnswer: -29, 1, 2, 5, 13, 13130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1750, 4226, 8362, 14158, 21614?\nAnswer: 30730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (sqrt(768) + -1)**2) + 1 + sqrt(768).\nAnswer: -768 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3 + 33. Solve 9 = 3*t - u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 219 + -111. Let u = 0 + 12. What is the greatest common factor of u and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) 3 (c) 51 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62, 174, 406, 818, 1470, 2422?\n\"Answer: 10*a**3 + 42*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 969\/459 + (-1)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*b + 512*b - 189*b - 244*b.\nAnswer: -103*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 153*c - 149*c + 161696, -c - 161699 = -4*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**2 + 2*d + 6. Let m(h) = h**2 - 1. Let t be -2*6*5\/60. Give t*f(b) - 6*m(b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 39*b**3 - 18*b**2 + 42*b - 18. Let z(l) = -11*l**3 - 4*l + 5*l**2 + 13*l - 21*l + 5 + 0*l**2. Determine 5*t(d) + 18*z(d).\nAnswer: -3*d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.1*0.191.\nAnswer: -1.9291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2095718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6228 = -20*p - 272. List the prime factors of 25\/p - 17318\/(-26).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18682, 18684, 18686, 18688, 18690, 18692?\n\"Answer: 2*n + 18680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-16)\/15 - -1)*(-6085 - -6039)\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 42295 divided by 10647\nAnswer: 42295\/10647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31.29275 centuries?\nAnswer: 312.9275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25 - 16 - 8 - 5*j**2 + (j + 4 - 4)*(-3*j + 2*j - 3*j).\nAnswer: -9*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 + 152. Let p = m + -36. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -792 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9356777 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*l - 43*l + 6*l**2 - 14*l + 3*l**2 - 13*l**2.\nAnswer: -4*l**2 + 55*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Suppose -n*l + 3 = -5*l. What is the remainder when 11 is divided by l\/(-2 - 7\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:59 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 95\/(-76) - 66\/(-8). Suppose -4*w + 0*b = 2*b, -w + 3*b = 7. Let t be ((-42)\/4)\/(w\/6). Calculate the greatest common factor of t and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000100111 + -1000?\nAnswer: 1010000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/(-160) - (-27)\/(-35)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1504 from 750947815.\nAnswer: 750949319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2408 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421*u + 404*u - 36 - 15 = 0. Sort u, 1, -2, -42, -5 in descending order.\nAnswer: 1, -2, u, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174107781 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + (1 - 2))\/((-46)\/483). Let w be (6\/(-14) - (-3)\/f)*-10. Suppose 0 = i - w. Solve 15 + 0 = i*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 45*o**2 - 16*o - 277. List the prime factors of w(42).\nAnswer: 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1117 = 11*y + 1062. Solve -y*p + 4 = -10*g + 6*g, 0 = -p + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, w: 3}. What is prob of picking 3 w?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*r = -117*r - 24. Suppose r*n + 3*i - 101 = -72, 3*i + 6 = 3*n. Solve 18 = -n*a + 18 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -132?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -46\/7, 0.7, 3, 5 in descending order.\nAnswer: 5, 3, 0.7, -46\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 574 + 591 = -2*f, -5*b - 1 = 4*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a millennium in years?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**3 + 215*m**2 - 875*m - 1065. Let a(y) = -5*y**3 - 213*y**2 + 876*y + 1066. Let x(k) = -10*a(k) - 9*l(k). Factor x(o).\nAnswer: 5*(o - 5)*(o + 1)*(o + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -l - 38 + 260, s = 5*l + 34. Suppose 11 + s = 5*z. Let k(h) = -h**2 - 13*h - 3. Let u be k(-9). Calculate the highest common factor of z and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*d = 2029, -5*d + 3365 = -14*i + 19*i. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44c5 (base 14) in base 9?\nAnswer: 17328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - c**2 - c - 1. Let z(a) = -11*a**3 - 3*a**2 - 3*a - 8. Calculate 3*p(o) - z(o).\nAnswer: 8*o**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -98*o**2. Let t(y) = -306*y. What is b(t(x))?\nAnswer: -9176328*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23767*q**4*w + 675*q**4 + 49858755*w wrt q?\nAnswer: -95068*q**3*w + 2700*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*t + 1. Let v be 4 + ((-2)\/(-1))\/t. Suppose v*u = u + 125. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 287 - 107. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/((x\/((x*x**(-7))\/x))\/x)*x*((x\/(x**(-5\/4)*x))\/x)\/x*x**3\/(x*x\/(x*x*(x*x**(1\/2)*x)\/x)*x*x*x)*(x\/x**(2\/3)*x*x**(-5\/4)\/x*x)**27 assuming x is positive.\nAnswer: 1\/x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 3\/5 (c) 35 (d) 2\/7 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 + 31335440?\nAnswer: 31335521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 127*n**2 - 2341*n - 3289. Give p(-105).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + 11. Let a = 4263 + -4243. What is the highest common divisor of a and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 8, -30, -104, -226, -408?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 180.808601 to the nearest integer.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l + 14. What is the remainder when o(9) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*(sqrt(55) + sqrt(2695)*1)*-4)\/(2*sqrt(11)*-5 + (sqrt(11) - (sqrt(11) + (sqrt(704)*-3 - sqrt(704)) + sqrt(11)))).\nAnswer: -64*sqrt(5)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*l - 2904 + 44 = 0. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.864797841 and 641.\nAnswer: 640.135202159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14637 divided by 4879.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9262 + 9262. What is the smallest value in 159, -0.4, 1\/2, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, r: 3, a: 12}. Give prob of sequence rar.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 12 = -g - g, -8 = 2*a. Suppose 0*b = b - 2. Differentiate -g + 1 + b*s - s + 6 wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 423\/67?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*j + 3*q - 44, -15 = 5*q. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/27 and 31\/160357326.\nAnswer: 1443215934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.943 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**5\/20 - 29*p**4\/4 - 59*p**3\/2 - 189*p**2. Determine r so that a(r) = 0.\nAnswer: -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8143997851 + -98151?\nAnswer: 8143899700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/13? (a) -0.3 (b) 1 (c) 261 (d) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*p - p. Suppose -v + 14 = 4*l - 3*l, 0 = -p*l. Calculate the lowest common multiple of v and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 5:57 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from syysayxxy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*j - j**3 - 1 - 74*j + 23*j**2 + 161*j as t + o*j**3 + a*j + y*j**2 and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**2 - 7805*n + 100120. Give t(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*25\/(6475\/(-74))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24913793 to the nearest integer?\nAnswer: 4991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -324*z + 5396. Determine g(18).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -2) + -2 - -2. Let f(i) = -4*i**2 + 11*i - 3. Let o(a) = -5*a**2 + 12*a - 3. Let p(m) = 4*f(m) - 3*o(m). Let n be p(7). Solve 4*j + n = -t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 89.06297 hours?\nAnswer: 320626692000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 8. Suppose 5*n = -3*p + 4*n + o, 4*p - 5*n = 8. Let j be 34\/6 + 2 + -8. Which is the nearest to j? (a) p (b) 1\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, r: 4}. What is prob of picking 1 r and 1 x?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-30)*((-81160)\/(-3960) - 21)\/((-4)\/9)?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/49 - 190\/147. Which is the nearest to -2\/11? (a) 0.5 (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 2 (c) 4 (d) -724 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -z + 12 + 31, 2*u = -4*z + 184. Let p = z - 38. Which is the closest to 1\/3? (a) -3 (b) p (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5)*k)\/k**(-7\/5)*(k**(-5\/6)*k)\/(k**(-2\/3)\/k) assuming k is positive.\nAnswer: k**(307\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 458*f**3 - 459*f**3 - f**2 - 1 + 3*f - 4*f. Suppose -5*y - 6 = -2*y. Determine z(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15 + -9 - (-1 + 0). Let b = 10 - u. Suppose -3 = -w - 0. Solve -w*x = 2*p + 11, 2*p - 6*p - x = -b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + -67 - ((1080 - 1103) + (12 - 1))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*x**4 + 315040*x**3 + 23172019*x**2.\nAnswer: 408*x + 1890240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 462803, 925588, 1388373, 1851158, 2313943?\n\"Answer: 462785*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 8:05 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {h: 2, k: 2, c: 1, i: 6}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -44626 and -44627 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 1:56 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48, 70, 98, 126, 148?\n\"Answer: -o**3 + 9*o**2 + 2*o + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5068*n + 5072*n = -3*i + 31, 0 = 2*n - i + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*1\/14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 466 by 7.\nAnswer: 466\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -994 = -29*w + 1761. What is the highest common divisor of w and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 12*p**2 + 8*p + 6. Let r be m(-11). Let x = 44 - r. Suppose -20 = 3*d - 8*d. What is the lowest common multiple of d and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -4, 2, 324, 10, -5 in descending order.\nAnswer: 324, 10, 2, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqoqqttyowwy. What is prob of sequence yoy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + -3 + sqrt(7)*-2 + -3.\nAnswer: -6 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y\/(y*y*y**(-1\/6)\/y*y*y))\/((y**(-2\/5)*y)\/y)**(-2\/39) assuming y is positive.\nAnswer: y**(-371\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 equal to -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuueuuaueuu. What is prob of sequence uu?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - 18\/(-3) - (2 - 2). Suppose m + j = 9. Let c(v) = -v**3 + 8*v**2 - 5*v - 9. Give c(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36211799 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7 - 8 = 0. Solve 0*j - 2*v = -j - 4, -t*j + 36 = 4*v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 7. Let o be s(-15). Let f = o + -7. What is the greatest common factor of 120 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 67 + 19 + -15?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111110010100010101 (base 2) to base 7.\nAnswer: -4253306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4453030 by -437.\nAnswer: 10190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(27) + sqrt(27) - (sqrt(3) + 0 + sqrt(3) + sqrt(3))*-1)**2)*-2.\nAnswer: -478 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -18882.66.\nAnswer: 207709.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6 + 15*i + 6 - 41*i + 23*i. Let a(z) = 4*z. Give -3*a(p) - 6*s(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 352 and 3005024.\nAnswer: 3005024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 5 + -22 + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-6)\/(-24) + 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 44.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q + 9*y - 4*y = 25780 - 26028, -q - 4*y - 124 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 69, 77, 101, 147, 221, 329?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - 3 - 0 - -81. Let f = -39 + v. Let i = f - 32. Calculate the lowest common multiple of 4 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11*x + 5. Let t be h(-5). Let z = 94 + t. Suppose -3*w + 33 = -y, 0 = 5*w + 5*y + 9 - z. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175.073 - 175. Let r = z - 0.073. Let f = -5 + 11\/2. Sort 7, f, r in descending order.\nAnswer: 7, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3585171 or 11?\nAnswer: 1\/3585171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/17 or -8.1?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2318 = -15*l - 368. What is the smallest common multiple of l and 7 + ((-5904)\/(-8))\/6?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-36))\/(-5)*3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336187849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -20*f**2 + 1. Let i(v) = 20*v**2 - 1. Let h(o) = 4*i(o) + 5*l(o). Let w be 6*(-6)\/18 - -1. Give h(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) -1 (c) 6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 14 = 4*y + 3*j, 6 = 4*y + 3*j. Is y\/(4277\/2128 + -2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 6 - 2. Let a(p) = 316*p**2 + 2*p + 1. Let h be a(w). Let m be (3\/(-9) - 1)*h. Round m to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78.56 + -80. Let l = x - -1.6. Let r = l + -0.06. Which is the third biggest value? (a) -1 (b) 0.05 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3 + 92*m**2 - 640*m + 1200 = 0. Calculate m.\nAnswer: 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/9230 and -79\/6.\nAnswer: 27690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64624320 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1821833 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*a. Let r(t) = -t**2 - 3*t + 967. Is r(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c0821a (base 13) in base 12?\nAnswer: 489347b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19010 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 556984098 divided by -6?\nAnswer: -92830683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a - 16. Let h be y(-12). Suppose o = -4*o + h. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/15 + 436*t\/3 - 4240.\nAnswer: -2*(t - 1060)*(t - 30)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 2*p**2 + 7*p - 1. Is y(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 11:11 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3679 - 646 = -173*v for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 29 = -b, 2*z - 6*z = -5*b + 45. Let a be 2\/z + 226\/5. Solve -4*i = 3*d - 35, 4*d + 6*i - a = i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 - 1\/3*s**3 - 4\/3*s**2 - 5\/3*s.\nAnswer: -(s + 1)**2*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 581 - 563. What is the remainder when 179 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 1355.\nAnswer: 4065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-1)**2 + sqrt(9)\/(-2*sqrt(3)).\nAnswer: -sqrt(3)\/2 + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.36 + -0.06. What is the closest to 0 in -3, -1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/(-51) - 2\/(-3). Let c be 2208\/(-20) - 6\/(-15). Let r be (-31)\/11 + 20\/c. Put r, f, 2, -4 in increasing order.\nAnswer: -4, r, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*q + 23 = -85*q + j, -2*q = -3*j + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.5, 4, 3.3, 6?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -72\/22223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:21 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 17 - 5 - -5 - (-44 - -1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276504 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.16 + -1.1600249. Round r to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -24. Suppose -t = -2*t + o. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311188.\nAnswer: 2, 77797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1843 + -1833. What is the greatest common divisor of p and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 2304989960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(((-9)\/21)\/((-12)\/(-42))). Let p(m) = -3*m**3 - m**2 - m - 1. Let n be p(2). Let j = 56 + n. Solve u - j = -a*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*j**2 + 28*j + 4?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 650 and -5136955.\nAnswer: -5136305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-7) + 65\/91?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210 (base 3) to base 9.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -0.9. Let s be (-483)\/63 - (-11 - -3). Which is the nearest to -0.3? (a) -1 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 + 4049734*d\/5 + 186291996\/5.\nAnswer: -2*(d - 2024913)*(d + 46)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-33)\/(-12)*-2. Suppose 3*v - 3*q + 12 = 0, 3*q - g = 3*v + v. What is the tens digit of (-1 - v - -12)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v + 27 - 48 + 26 - 2*v**2. Calculate the remainder when 10 is divided by w(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71 or 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -9 + 17 - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + 0 + sqrt(117))*4 - ((sqrt(117) - (0 + sqrt(117) - sqrt(117)))*-4 + sqrt(117) + -4)).\nAnswer: -105*sqrt(13) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -251, -812, -1897, -3680, -6335, -10036, -14957?\nAnswer: -21272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17384 and 616312.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4 + 3382*f**3 - 60420*f**2 + 321472*f - 428288 = 0. What is f?\nAnswer: 2, 8, 1673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 74*x**2 + 76*x + 254. Determine b(75).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, 5, 4, -195, -1 in decreasing order.\nAnswer: 17, 5, 4, -1, -5, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l. Let r(g) = -3*g + 3*g - 25*g**2 + 23*g**2. Calculate z(r(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 7*b**2 - 200*b + 135. What is the derivative of j(z) wrt z?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - k**2 - k. Let l be d(2). Let x(t) = 8*t**2 - t**3 + 60*t + 2*t**2 + 11 - 5*t**l - 58*t. What is the tens digit of x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 29*i**2 - 5*i - 5. Suppose 5*l + 72 = -l. Let t be (-5 - -2)*l\/(-9). Is s(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*v + 24 = 0, -z - 7*v = -2*v + 18. Let q be (-16)\/1 - z\/1. Let l = q + 32. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/4 - -10)\/((-2)\/4). Let z = -44.1 + 37. Let p = z + 7. Which is the closest to d? (a) p (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from wwzwzzzwzwzzzz?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwvfwvwf. Give prob of sequence fvfv.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157068 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:20 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a. Let j(w) = -127*w - 115*w + 239*w. What is x(j(l))?\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4840 and 2222?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33626954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 i when four letters picked without replacement from cnccniccncn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2+-2710815.80575327\nAnswer: -2710817.80575327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7906, 31622, 71154, 126508, 197690?\n\"Answer: a**3 + 7902*a**2 + 3*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39467 or 39466?\nAnswer: 39467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*k**5 + 24*k**3 + 2*k**2 + k - 5570.\nAnswer: -920*k**3 + 144*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 37959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 253 and 69?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t = 3963 - 4011 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000066 is divided by 12047.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmm. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4 + 80. Suppose 0 = -l*o + 34*o + 48. What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 98 (c) 0.4 (d) 0.18 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2*6\/(-18))\/((20\/159)\/(-5)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 8, -183 = -5*y + 8*c - 5*c. Let r be (186\/(-155))\/(y\/(-10)). Let 2\/13*s**2 + r + 6\/13*s = 0. Calculate s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 2. Let n(t) = 4*t - 5. Let f(y) = -6*b(y) + n(y). Let j be f(-5). List the prime factors of (-7)\/(j\/102) + -4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -315*t**2 + 2*t + 7375 wrt t?\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (10 - 2 - (-6 + 18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 31 = 13*d - 10*d, 0 = 4*d - 5*f - 39 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 36\/5, -17471?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -191093.79 rounded to the nearest 100?\nAnswer: -191100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -66*x**2 - 13*x + 4. Let j(f) = 56*f**2 + 12*f - 5. Determine 6*j(u) + 5*t(u).\nAnswer: 6*u**2 + 7*u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnnrnrrnrrrrrrrrrnr. What is prob of sequence rrr?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -10*v**3 + 720*v**2 + 2254*v + 15. Determine p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 909 + 14051 = 44*o. Calculate the greatest common divisor of 30 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d**2 - 75*d - 18*d**2 + 7*d**2 + 75*d. Let p(k) = -127*k**2. What is p(u(a))?\nAnswer: -2032*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1297662, -1297619, -1297504, -1297281, -1296914, -1296367, -1295604, -1294589?\n\"Answer: 6*l**3 + l - 1297669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**4 + 0*r + 0*r)*(22369 - 28971 - 65661) to the form p*r**2 + d*r**4 + v*r**3 + x*r + c and give d.\nAnswer: -72263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6\/9*(-3)\/(-21)*-3).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g - 3*g - 5*g)*(-5 + 7 + 7)*(-626*g**3 + 687*g**2 - 687*g**2) to f*g + d + z*g**4 + t*g**2 + c*g**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1324 - -2?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -49b63 + 2a7?\nAnswer: -49889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 + -90. Solve c = z*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = -2*v, -7*v + 2*f - 6 = -10*v. Let y be 56\/6 - 4\/(-6). Let w(j) = -7*j**v - j**2 + 5*j + 3*j**2 - y + 6*j**2. Give w(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 1 = 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -224?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -24) + 31 - (0 + 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74 - (-2 + 7 - (-4)\/(-2)).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157155.\nAnswer: 3, 5, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -818307112 + 0?\nAnswer: -818307112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45773 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 33 = 3*j, -2*j - 3*k - 181 = -208 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (204\/10)\/(9\/45). Suppose 0 = 8*n - 3*n - 3*q - r, 2*n - 46 = -4*q. Solve 3*y - 5*m + 0*m = 17, 5*y - m = n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -47*m**4\/24 + 16*m**2. Give x(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -5, 194, 10, 3 in ascending order.\nAnswer: -5, 0, 1, 3, 10, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 381.3 - 381. Which is the smallest value? (a) -101 (b) -2 (c) 4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6135 divided by 5.\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6))**6\/(f*f**13*f\/(f**(-2\/35)*f)) assuming f is positive.\nAnswer: f**(-1752\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1358)\/(-441) - 2\/9)*(-385)\/110?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 710 and 5070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1752 and 2144?\nAnswer: 469536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 86 - 556 = 0. Suppose 6*u - a = 4*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -162 + -2?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0119214 rounded to 4 decimal places?\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/112)\/((-4)\/7)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 11 = 25. Let d(c) = c**2 + 10*c - 18. Is d(j) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 112 + 320. Let b be 18*(1 - 4 - -4). What is the highest common divisor of b and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9*i**2 + 66*i + 24. Calculate v(-8).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 217.2, -0.4, 5\/2 in decreasing order.\nAnswer: 217.2, 5\/2, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 12. Let d = 21 + p. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/36 and 46\/15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/7, 5, -0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182 + 342 - 169 + 3*u.\nAnswer: 3*u - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 714532638 to the power of 1\/2, to the nearest integer?\nAnswer: 26731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 994532088.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 5, 6, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -179*t - 205. Let a be g(18). Let d = -1332 - a. List the prime factors of d.\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122 + 414. What are the prime factors of u?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14705 + -14704. What is the closest to 8\/7 in -1, s, -0.012?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/sqrt(5)*2 + sqrt(9))\/(sqrt(24)\/(sqrt(8) - sqrt(512))))**2.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**3\/3 + d**2\/2 + 3*d - 12. Let p be w(0). Let x be (-7)\/((-28)\/16) + 23. What is the greatest common divisor of p and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2 + 4, 0 = 3*x - 5*a - 1751. Calculate the common denominator of 2\/((-20)\/3)*x\/18 and -1 - 214\/(-20) - -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**(-2\/7)*h*h*h)\/h*h))**(-24)\/((h\/(h*(h**(-2\/3)\/h)\/h*h))\/(h\/(h**(1\/4)\/h))))**40 assuming h is positive.\nAnswer: h**(54790\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1006682 millilitres to litres.\nAnswer: 0.0001006682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, -33, -107, -243, -459, -773?\n\"Answer: -3*l**3 - 4*l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -62 + 0.45\nAnswer: -61.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 15 - 39 = 0. Suppose a*m + 35 = 61*m. Sort 1, 1.4, 4\/7, m.\nAnswer: 4\/7, 1, 1.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 14380.6.\nAnswer: 143.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6806.98 - -6807. Which is the biggest value? (a) -14\/5 (b) x (c) 0.3 (d) -1 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/971 - -22325\/3884. Calculate the common denominator of w and 1 - (80\/6 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14907487 + -6358\nAnswer: -14913845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(((f*f**(2\/5)\/f)\/f)\/f*f))\/(f\/(f\/(f**17\/f))))\/(((((f\/(f\/(f*f**21*f*f*f)))\/f)\/f)\/f)\/f**5) assuming f is positive.\nAnswer: f**(-157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 - -132. Let f(b) = s*b + 4 + 24 + b**2 + 22 - 2*b**2. List the prime factors of f(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -134848?\nAnswer: 134848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 8, 81*q = 3*z + 84*q - 18. Solve z*o = -a + 15, -16 = -5*a + 2*o - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608027578?\nAnswer: 2, 149, 2040361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-42))\/(57\/(-133))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.72, -2\/9, -12.4271 in increasing order.\nAnswer: -12.4271, -2\/9, 0.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 6*w**2 - 1. Let s be g(-5). Suppose 5*f - s = 2*f. Is (204\/(-10))\/(f\/(-20)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 558 and 298208.\nAnswer: 83200032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 8*g + 3. Let j be q(3). Let y = j - -21. What is the highest common divisor of 45 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 7:01 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/85)\/(9\/(270\/(-33)))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28\/37? (a) -1\/8 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -23. Let m be 23\/4 + p\/12. What is the third derivative of -12*o**m + 8*o**2 - 11*o**5 + 34*o**5 - 7*o**5 wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 7. Let a = 93 + v. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*g + 16, 3*g = a - 2*g + 2. Let s be ((16\/(-28))\/(-1))\/((-2)\/a). Factor -2\/7 - 2\/7*w**s + 4\/7*w.\nAnswer: -2*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65298929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.9. Let n = 10 + -6. Suppose -4*p + n = -0. Which is the closest to p? (a) -2\/5 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -927, -3, -6, 10 in descending order.\nAnswer: 10, 3, 2, -3, -6, -927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 779447100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529*m - 42193 = 4938*m - 99985 - 61251 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/20 + (-95)\/(-25). Suppose -5*r - 3*k + 21 = -p, -22 = -5*r - k. Solve 2 = -2*c + r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9591\/2 + 5\/(-10). Suppose -4605 - o = 2*g. Round g to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwww. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1794*b + b**2 + 1794*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -19755 - (-2 - -6). Let c be (17 + -18)\/((-1)\/w). Let l = 1224659\/62 + c. Calculate the common denominator of l and 71\/9.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12995610 less than -4?\nAnswer: -12995614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 - 4*n**3 - n**3 + 2*n**3 + 790*n + 6*n**3.\nAnswer: -n**3 + 790*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*o - 0*m + 258, o + 5*m + 40 = 0. Is (0 - -37)\/((-10)\/o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8*m = -2*i + 24, 5*m - 60 = -5*i. Suppose -5*p - 25 = 0, 3*w + 2 = -4*p - i. Solve 0 = 4*o + 5*q + w, -3*o - 6*q + 4*q = -2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*x + 1500 = -163*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2736) + ((sqrt(2736) - (1 + sqrt(2736)))*1)**2) + (-5*sqrt(114)*2 - sqrt(114) - sqrt(114))\/(sqrt(18)\/sqrt(3)*3).\nAnswer: 4 + 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(sqrt(2)*-1 + -2) - (6*sqrt(16)*1)\/sqrt(8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1962, 1, 771, 2\/7 in decreasing order.\nAnswer: 771, 1, 2\/7, -1962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + a + a)*(-241 + 45 - 1861*a**3 + 196).\nAnswer: 3722*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 48\/31, -3, 0.3, 0.14 in decreasing order.\nAnswer: 48\/31, 0.5, 0.3, 0.14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*j**3 + 20201690*j**2 - 6733875*j - 26935580 = 0. What is j?\nAnswer: -1, 4\/3, 1346779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -123, -2\/3255?\nAnswer: -2\/3255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 125003032759.\nAnswer: -125003032762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 68 = 5*x, 2*n - 58 = 4*x + 6. Suppose -2*q + n = -2*o - 2*o, 2*q + o = -1. Solve -4*t = -w - 8, 3*t = 5*w - q*t + 25 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -207?\nAnswer: 20\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*y + 16*y + 43*y)*(3*y - 6*y + y).\nAnswer: -80*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 424620015943.\nAnswer: 424620015944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/308749 + 12349954\/926247. Let t = 27 - 13. Is t smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 21666*s**2 + 117223785*s - 1409807052.\nAnswer: (s - 12)*(s + 10839)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1741 is divided by 70.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(13\/5)*b*b)\/((b*b*b**(-2\/9))\/b))\/((b\/(b**(5\/2)*b*b))\/(b**(-5\/8)\/b)))**(-12) assuming b is positive.\nAnswer: b**(-2051\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131123 and 19711.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (0 + 9\/3). Let v be (x - -33)*1 + -3. Is -1*(-2 + 3) + v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 63.934 and -1.\nAnswer: 62.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(5324) + sqrt(5324))\/(sqrt(4) - sqrt(100)*5).\nAnswer: -11*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -93. Let i = 66 - l. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-570)\/304 - (-4 + 1 - -1). Put -12\/31, x, -5 in ascending order.\nAnswer: -5, -12\/31, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + (-12)\/11 - 17337\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3 + 7. Suppose 0 = -v*d - 6*d + 120. Solve l + d = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 5*l**2 - 7*l + 5. Suppose 0 = 2*w + 12. What is the tens digit of q(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -671195 (base 10) to base 3\nAnswer: -1021002201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.2, 5, 1, -5 in descending order.\nAnswer: 5, 1, 0.2, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctsstscvts. Give prob of picking 1 s and 1 c.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -19. Let f = 24 - a. Suppose 4*z - f - 11 = 0. Solve z = 2*x - x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 18*n - 216. What is the least common multiple of 30 and s(13)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-1 - -1)) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411807975?\nAnswer: 3, 5, 29, 189337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by -2.\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -15, -11, 3, 1.\nAnswer: -17, -15, -11, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 1\/2*10. Suppose 1 - p = -5*f - 4*d, 2*d = 3*f - 15. Suppose -18 = k + 5*s, 2*k = k + f*s + 22. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8 + 8 + 14 + 13*v - 44 + 8. Let g(m) = 263*m - 115. Let b(i) = 788*i - 346. Let r(s) = 4*b(s) - 11*g(s). What is 119*q(t) - 6*r(t)?\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*(-1123)\/2 - 3. Let a = -425 + y. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50)\/(-3) - (-1)\/3. Let p(j) = 2*j + 14. Let x be p(-11). Let k = t + x. Solve 4*d + k = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4386 and 8988?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.107 to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.075 + 31.075. Let g = -4992.8 + 4993. Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255763087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 224, 228, 206, 140, 12?\n\"Answer: -3*r**3 + 5*r**2 + 10*r + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 2*v. Let i be (-1 + -1)*(-594)\/36. Suppose i*t - 20 = 23*t. Determine p(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 340? (a) 4 (b) -6 (c) -0.5 (d) -0.4 (e) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 875 or 872?\nAnswer: 872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10301073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -12, 2*w + 1528 = 2*x + 4*w. Is 90 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -75*x - 15. Let q(t) = 132*t + 29. Let z(h) = -4*q(h) - 7*w(h). Let b(p) be the second derivative of p**3\/3 - 2*p. Calculate z(b(o)).\nAnswer: -6*o - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 1:31 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443709.\nAnswer: 1443709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287991.\nAnswer: 3, 11, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -68 times 0.4\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 101*z**2 + 66 - 35*z**2 - 64*z**2 + 25*z. What is k(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b + 3*b + (5 - 5 + b)*(3 + 1 + 3 - 5 + 5 - 1 + 5 - 1 - 5 + (-1 - 1 + 0)*(1 + 0 - 2) + 0 + 0 - 1))*(474 - 474 - 21*b).\nAnswer: -168*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 569, 1269, 2459, 4301, 6957?\nAnswer: 10589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144205, -144243, -144305, -144391, -144501, -144635, -144793?\nAnswer: -144975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s - 2. Suppose -y - 5*p - 59 = -5*y, y + 5*p = -4. Let n = 16 - y. List the prime factors of w(n).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 203 in 2\/13, 1\/2, -0.004, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 9*t**2 - 8*t - 11. Let f be 9\/(-6)*(-5)\/(15\/16). Calculate r(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 23*s + 80. Determine x(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -15*t + 96. What is the highest common divisor of t and 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226.868 rounded to zero dps?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 15*b - 2. Let n be d(3). Let a = -31 + n. What is the highest common divisor of 60 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**5\/7 + 2764*m**4\/7 - 108718*m**3\/7 - 1135384*m**2\/7 - 3159584*m\/7 - 2135680\/7 = 0.\nAnswer: -1420, -4, -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-1)\/(5\/15). Solve 3*p - 13 = 4*l, -p + b*l = -0*l - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 94629, 187678, 280727?\n\"Answer: 93049*n + 1580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 75*m**2 + 147*m + 2153. What is the ten thousands digit of p(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**3 + 40*d**2 - 26*d + 36. Let i(u) = -u**3 - 14*u**2 + 9*u - 12. Let g(s) = -11*i(s) - 4*y(s). Let f be g(-7). Solve 5 = f*w - 7*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -15*v + 6. Suppose -3*m = 7*p - 2*p - 8, -4*m = 5*p - 4. Let c = 13 + -12. Solve c = p*w - f, f = -w + 2*f - v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + ((sqrt(1900) - (sqrt(1900) - (sqrt(1900) + sqrt(1900) + 3 + sqrt(1900) + sqrt(1900))))*5 - (-4 + (2*sqrt(1900) - sqrt(1900)))))**2.\nAnswer: 7600*sqrt(19) + 686300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-4)*2\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**4\/12 + 11*k**3\/2 + 115*k**2 - 2*k - 102. Let t(w) = 0. Calculate w.\nAnswer: -23, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 4*o + 35, -5*f + 6*f + 2*o = -5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 8*g - 6. Let h be t(8). Let f = 52 - h. Suppose f = 3*s - 101. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1834 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u + 3. Let c(r) = -4*r - 4. Let z(k) = 3*a(k) + 2*c(k). Suppose -31*x + 100 = -11*x. Let j(t) = -t - 2. Give x*z(h) + 3*j(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**4\/12 + y. Let n(u) be the second derivative of u**3\/2 - 2*u. What is n(p(b))?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344 (base 13) to base 14.\nAnswer: 2c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*m + 3*a, 9 = 5*m - 2*a - 0*a. What is the tens digit of 2*43\/2*m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2686*m**3 - 90*m**2 + 90*m**2.\nAnswer: 2686*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 3:04 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -493.999938 - -494. What is v rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/8, -0.5, -5?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015766979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7426901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 16020?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 965, 0 in decreasing order.\nAnswer: 965, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5.4 times 198.2\nAnswer: 1070.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/580 and -11\/64450.\nAnswer: 3738100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -21\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-5))\/(-9 - 1209\/(-130)). Solve -11 - 1 = 4*q + j*d, 2*d = -3*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n. Let b(s) = -1932*s**2 + 48*s - 2. Let u(o) = 17388*o**2 - 456*o + 19. Let g(x) = -19*b(x) - 2*u(x). Determine g(d(a)).\nAnswer: 1932*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**2 - 17816811*z - 17816808 = 0. What is z?\nAnswer: -5938936, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -254047\/136 - -1868. Let p be (6\/8)\/(414\/(-552))*1. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 7:15 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -436*a**2*y + 5*a**2 - a*y**2 + 13*a - 21*y + 152 wrt y.\nAnswer: -436*a**2 - 2*a*y - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4 (b) 54 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 11 + 3 = 0. Let m be (-2 + 1)*(-2 - d). Suppose m = c - 3*c + 6. Solve -3*j - c - 9 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2. Let c be (-4)\/(4\/(-2) - 0). Suppose -3 - 7 = 3*f + 2*v, 3*v + 15 = 3*f. Let d(s) = -c*s**2 + 0*s**2 + f*s**2. Determine g(d(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1645, 4 in increasing order.\nAnswer: 4, 13, 1645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*12\/126 + -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*k - 4*m = -6, -m - 2 = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 127*d**2 + d - 1. Let b(q) = q**2 - 2*q + 1. What is b(s) + f(s)?\nAnswer: 128*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 4*r - 3*t - 318, r - 5*t - 86 = 0. Let d = r - 109. Find the third derivative of -964*z**4 - d*z**2 + 2 - 3 + 1000*z**4 wrt z.\nAnswer: 864*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 303 + -194. Suppose 3*a + l = 5*h, -3*h + 54 = a + a. Is 1\/5 + 1696\/h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21893 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8*((-160)\/(-15))\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 503834298873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -828\/11 or -74?\nAnswer: -828\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161 + 234. Let b = 63 - i. Let u = b + 21. Which is smaller: u or 12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35557247 is divided by 496.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102 - 110.1. Let i = -8 - z. Let f be 2\/(-3) - (-4)\/6. Which is the closest to f? (a) i (b) -4 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 2 - -1 - 2. Find the second derivative of 2*q + 4*q**3 + k*q**3 - q**3 wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n**4 + 2*n**3 + 2*n + 13. Let s(r) = 35*r**4 + 9*r**3 + 9*r + 52. Let z(y) = -18*p(y) + 4*s(y). What is the derivative of z(t) wrt t?\nAnswer: -88*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 3*i + 4*i + 3*i, 5*l - 10*i + 7*i + 60 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(75) + sqrt(75) + 1 + sqrt(75))*-6 + (sqrt(75) + (sqrt(75) - (sqrt(75) + -1 + 5)) - sqrt(75)))*3)**2.\nAnswer: 14040*sqrt(3) + 219376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -115 - -526?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20761\/24 + -865. Let d(p) be the third derivative of 0*p - h*p**4 + 0 + p**2 + 0*p**3. Let w(f) = 34*f. What is w(d(s))?\nAnswer: -34*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -11. Suppose -k*l - l + 11598 = o, -3*l + 8690 = 5*o. Round l to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29126\/7 + 87434\/21. Determine a, given that s*a**2 + 8\/3*a + 2\/3*a**3 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7532544137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 8*h. Let x(s) = -2*s**2 + 7*s. Give 4*d(f) - 5*x(f).\nAnswer: 2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 125910 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 2, 1\/5, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21060*x**2 + 78146 with respect to x.\nAnswer: 42120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f. Let i = 31 + -29. Let m(h) = 22*h**2 - 29*h**2 + 25*h**i. Give m(u(q)).\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 - -86. Let w = h + 0. Which is the closest to 0? (a) w (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**2 + 8*y - 2 - y**3 - 8 - 6. What are the prime factors of o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 237 - 236.716. What is b rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759690 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17118 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.108 - 9.108. Suppose -o - 3*y = -6*y - 7, -o = y + 9. What is the closest to 3 in 3, o, x, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4 - 2 = -4*d, -2*d = 5*j - 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*l + 43338 = 0, -41*n = -35*n + 2*l - 52028. Is 30 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/402845 and 5\/41584?\nAnswer: 6445520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-15)*20314\/2. Let h be (1996\/6)\/((-1)\/2). Let p = i + h. What is the common denominator of p and 37\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 7 + 5)*(-2*u + 3*u + u)*(3*u**3 + 12*u**3 + 11*u**3) to l*u + f + w*u**4 + h*u**3 + s*u**2 and give w.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24, -65, -130, -213, -308, -409, -510?\n\"Answer: m**3 - 18*m**2 + 6*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 32768 + 67 + -34 + 0\/(-1) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 3\/3 - 0. Suppose 3*j - 2*p + 8 = 2*p, 24 = -j - 4*p. What is the units digit of j\/(-6) - i\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5884 + -0.4\nAnswer: -5884.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 12 + 18 = 0. Is -2 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -107367*a**2*k - 5*k + 5260 wrt a.\nAnswer: -214734*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -5\/6, 13\/9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 2*b - 16, -h - 3 = 3*b. Suppose -1 - h = 2*d. Put -4, d, 1 in decreasing order.\nAnswer: 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(1\/(-1))\/(-4)*(-66492)\/(-38787).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -2 (c) 0 (d) 236 (e) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 346, 521, 746, 1009, 1298?\nAnswer: 1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 0*x**6 + 0*x**5 + 3\/2*x**2 + 0*x**7 + 0 - 37\/28*x**8 + 0*x**3 - 3\/2*x**4 + 82*x. Find the third derivative of j(i) wrt i.\nAnswer: -8880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 1. Let h(d) = 5 - 5*d + 44*d - 10*d - 12*d - 13*d. What is -4*h(k) - 18*q(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 236*l - 127*l - 116*l + 245. Solve -2*v - 31*y = -l*y + 2, y = -v + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k + 100*k - 3832 = 16936. What is the greatest common factor of k and 2200?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 21. Suppose -c = -y - 1. Let q = 46 + y. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 63\/(-14)*2 + 68. Solve -t + 29 = 15*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 3*c + 6, 5*c - 1 = -6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3184*x - 140400. Calculate c(43).\nAnswer: -3488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(4\/((-24)\/(-9)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 12 + 2 - 5*t + 13 - 29. What is u(5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - 2 - -5 - ((-23 - -25) + -3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4118 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*p + 57. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - r + 0*r)*(-3*r**3 - r**3 - 6*r**3)*(-7 + 2 + 3).\nAnswer: -60*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 3\/2*c**2 + 19 - 6*c. Suppose -j - 2 = -7. Let m(u) = -3*u + 5. Calculate j*y(o) + 6*m(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + 12*t - 2. Let v(y) = -y + 24. Let k be v(21). Factor -2\/5*d**k - 4\/5*d**t + 2\/5*d + 4\/5.\nAnswer: -2*(d - 1)*(d + 1)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -17a99249?\nAnswer: 17a9924c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.3, 0, -5, 0.02?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from mddlk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4\/4 + 51*f**3\/2 - 1227*f**2\/4 + 1530*f - 2700.\nAnswer: -3*(f - 12)**2*(f - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1074476 divided by 4.\nAnswer: -268619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c + 2. Let r be (-6)\/(-39) - (-55)\/65. Suppose -n = 7 + r. Let y be (-16)\/(-3) + n\/24. What is d(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -303c9b7 - 0?\nAnswer: -303c9b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 85*b + 278. Does 93 divide w(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u - 37. Let f(d) = 1. Let o(q) = -3*f(q) - w(q). Let x be o(10). Let r(l) = l**2 + 2. Let z(n) = -2*n**2 - 5. Give x*z(t) + 10*r(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - n**2 - 2*n + 4. Let s be f(2). Suppose -s*v + 12*v - 32 = 0. Solve -v*r = -3*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 728743 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.871 and 0.63?\nAnswer: 0.54873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12132605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 6*b**2 - 3*b - 5. Suppose 2*g + 12 = -0. Let t be d(g). Calculate the greatest common divisor of 91 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5))**(3\/26)\/(w\/(w**2*w))**2 assuming w is positive.\nAnswer: w**(263\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480*a**2 + 92*a + 479*a**2 - 39*a - 54*a.\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154341 is divided by 68.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21100222002 (base 3) in base 2?\nAnswer: -100011011010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/15*3*-5. What is the nearest to 0.1 in q, -0.3, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 3:30 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 1\/6*c**3 + 0*c + 53\/24*c**4 + 11*c**2 + 0. What is the tens digit of b(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**12*w)\/w)\/(w\/(w*w\/(w**(-5\/3)\/w)*w*w*w*w))*(w\/(w\/w**0))**7)**(-3\/11) assuming w is positive.\nAnswer: w**(-62\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -16\/1289 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 18 = 4*w, 3*f - w + 9 = -4*w. Is -106 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 17*n + 3. Let s(x) = -9*x - 1. Let g(a) = 6*m(a) + 11*s(a). Calculate the remainder when 116 is divided by g(11).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2. Let x(y) = 523*y**3 - 2*y**2 + 2*y - 2. Let m be x(2). Let q(s) = s**2 - m*s + 4178*s. Calculate p(q(i)).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -154374, -154922, -155470, -156018?\n\"Answer: -548*c - 153826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 49*l + 9 + 47*l)*(-2*l**2 + 4*l**2 - 3*l**2).\nAnswer: 2*l**3 - 13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*g = -7845 + 637 + 3009 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 72*l**2 - 98 + 97 - 12*l**2)*((-3 + 5 + 0)*(-4 + 0 + 1) - 2 - 3 + 7).\nAnswer: 336*l**2 - 4*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 23 - 7973*t**2.\nAnswer: -7973*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -2\/27 (c) -3\/13 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -34 (b) 187 (c) -0.9 (d) -3 (e) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 14*m**4\/3 + m**3\/6 - 61*m**2\/2 + 29*m. Find the second derivative of a(r) wrt r.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -27\/2, 4, 1\/8, 0.4, -1 in descending order.\nAnswer: 4, 0.4, 1\/8, 0.06, -1, -27\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 244564 = 12*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347893 is divided by 347792?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 7:22 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -0.5 (c) -3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*q = -0*q - 1631, 2*j - 1106 = 2*q. Let t = j + -340. Calculate the remainder when t is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -6, -3\/5, -3, -3\/13, -354, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3594 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2314 and 25454?\nAnswer: 25454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2 - 9 + 22 - 11. Let i(t) = -5*t**2 + 3. Let c(n) = -4*i(n) + 6*s(n). Let j(z) = -z. What is j(c(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhohomhhmhh. What is prob of picking 3 h?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 4*k**2 - 3*k + 4. Let n = 199 + -195. What is b(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 8*o + 264. Determine j(-26).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/7098 and 71\/34398.\nAnswer: 447174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2925, -5856, -8787, -11718?\nAnswer: -14649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 + 2*(0 + 1). Find the common denominator of 12\/11 and 3\/(1*w\/57).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 15 = -5*s, 23*s = -5*u + 21*s - 27 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*-7740765\nAnswer: -23222295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 71 - 7. Solve 4 = 5*x + a, 3*a = s - 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70784 + -0.41737263.\nAnswer: -70784.41737263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - m + 1 + (-1 - 2 - 1)*(-2*m - 6*m + 33*m) - 4*m + 0*m + 3*m + (5 + 1 - 4)*(3*m + 0*m - 2*m).\nAnswer: -100*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4390423, 8780845, 13171267, 17561689, 21952111, 26342533?\n\"Answer: 4390422*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + 2.9. Let d = v - 11. Let s = d + 12. Put 0, s, -0.4 in decreasing order.\nAnswer: s, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2412*h**2. Let y(o) = 961*o**2. Give q(y(b)).\nAnswer: -2227532652*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 615 a factor of 343823007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/1*(-3)\/(9\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, t: 5, c: 6}. Give prob of sequence nn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363289 + 7501*u - 366*u + 363289.\nAnswer: 7135*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 - 27*b**2 - 21295*b**3 + 10645*b**3 + 10647*b**3 as i*b**2 + c*b**3 + p + n*b**4 + s*b and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 294317 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89618 * -4.\nAnswer: -358472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2\/5, 17, 1\/2, -0.702?\nAnswer: -0.702","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 8:53 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*z**2 + 90*z**2 + 128*z**2.\nAnswer: 294*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 716252500 rounded to the nearest 100000?\nAnswer: 716300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-15))\/((-398)\/(-5970)*(-106)\/(-2)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -55, -361 in descending order.\nAnswer: 94, -55, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 56*m + 10*m + 1)*(0 - 2 + 0)*(-7*m - 9*m + 25*m).\nAnswer: 828*m**2 + 36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:23 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 4 - (-165)\/44. Which is the third biggest value? (a) -3 (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 220*f - 229. Let h(o) = -709*o + 689. Let d(v) = 3*h(v) + 10*j(v). What is d(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5861.02193 - 0.02193. Let y = -5432.3 + p. Let f = -458 + y. What is f rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/10 - (-462)\/110 - 6. Suppose 14*a = 5*a + 135. Put s, 2, a, 5 in ascending order.\nAnswer: s, 2, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 32 = -z - 4*m, 4*z + 3*m - 38 = 0. What is the lowest common multiple of 30 and z?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 529 = -3*m, 4*u - 4*m - m = 519. Suppose 129*q + 336 = u*q. Calculate the lowest common multiple of 6 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8954 - -1.9954. Let f = -4.6 - -1.6. Let o be ((-14)\/(-10) - 2) + 0. What is the nearest to q in 2\/17, f, o?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -30. Let l = 6 + -3. Let m be (3\/l)\/1 - -4. Solve -m*u = -2*u + b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-6)*(-54)\/(-21).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (0\/(-2) - 3) + 163*(139 - 10) a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from rprppjrjprgrxgwpgj?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(98) - sqrt(98) - sqrt(98)) + sqrt(98))*-3)\/sqrt(2))\/(sqrt(21)\/(1*sqrt(27))).\nAnswer: 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15470)\/(-340)*-4*(-348)\/14. Do 4526 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 3\/4, 2, -0.07, -3501, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-10))\/(3\/15). What is the units digit of 45\/m*(-12)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81959127 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -1\/8, -7, -8, -56 in ascending order.\nAnswer: -56, -8, -7, -1\/8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -21. Suppose 4*t = u - 34, 3 = -7*t + a*t. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = 2*n - 3*j, -588*j + 289*j - 83 = -n - 297*j for n.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18620258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762*r + 145370 = 3999*r + 12653 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -434*x**5\/15 + 11*x**4\/24 - 19*x**3\/3 - 2*x**2 + 872*x. What is the second derivative of m(f) wrt f?\nAnswer: -3472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (31 + 3)*(-2)\/(-4). Let l = 26 - x. Suppose l = 3*d + 4*z - 17, 17 = d + 3*z. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d*d**5*d*d))\/(d\/d**(-1\/2))*((d**(-1\/19)\/d)\/d)\/(((d*d**(6\/7))\/d)\/d) assuming d is positive.\nAnswer: d**(-2769\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2317 + 2314 - 6945 + 2314 + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16656265 - 17?\nAnswer: 16656246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - (sqrt(26) - (sqrt(104) - sqrt(26)))*-5)\/sqrt(2) + -5.\nAnswer: -5 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 359168 (c) 1 (d) -0.4 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -20. Suppose -2*o = -2*h, -3*h + a = 4*o - 11. Solve -h*u + 15 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37.994 - 0.006. Let p = k + 33. Let f be 3 + (-35)\/10*1. Sort 1\/8, -4, p, f in ascending order.\nAnswer: p, -4, f, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 10:14 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301986329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -71, -118, -191, -296?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 + -82. Which is the nearest to j? (a) -0.5 (b) -1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 4)\/(-4)*-58. Let m = j - -47. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1081, -2152, -3247, -4378, -5557, -6796?\n\"Answer: -2*v**3 - 1057*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101321 - 1203?\nAnswer: -103130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*f**3 - 94*f**3 - 78*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 i when three letters picked without replacement from {i: 2, y: 3, f: 4, w: 1, v: 2, n: 3}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160080 and 251160?\nAnswer: 14567280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2497.878 millilitres to litres.\nAnswer: 2.497878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8330*u + 4260*u - 162800 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*f - 40110699838 + 14015539838. What is f rounded to the nearest one million?\nAnswer: 287000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 0, 2, 5, 3 in increasing order.\nAnswer: -46, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/18)\/((-2)\/8). Let m = -2.3 + 0.3. Let d be 154\/50 - 4 - -1. Sort m, t, d in descending order.\nAnswer: d, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3*k + 6, 5*j - 3*k - 4 = 26. Suppose -2 = -2*h - j. Let r = 3 - h. Solve -27 = -r*p - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 53, 132, 285, 536, 909, 1428, 2117?\nAnswer: 3000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q = 1. Solve 7 = 3*o + q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (337\/2)\/((-1)\/(-2)). Suppose 0 = -4*y + v - 97. Suppose 2*q + 3*q = y. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**4\/4 + 2*f**3\/3 + 2738*f**2. What is r(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 736 = 18*q + 46*q + 32 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 9:56 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 + 166 = 5*y, -3*y - 2*t = -88. Suppose -35 = -791*h + 784*h. What is the remainder when y is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 4*g. Let h(o) = -3*o + 3. Let v be h(0). Let x = 8 - 5. Solve v*y = g, x*m - 2*y + 6 + 0 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -797732 divided by -5.\nAnswer: 797732\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 9:55 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 + 241. Let r(k) = 4*k - 20. Let w be r(9). What is the highest common factor of w and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 20, 5*v - 27 - 7 = -t. Calculate the remainder when t is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 9 = -f + 15, 0 = 3*f + 4*h - 32. Suppose w + 3 = -18. Let s be w\/(-6)*8\/14. Calculate the highest common factor of s and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 11. Let p be t(-15). Suppose -3*z = -p*w + 27, 5*w - 11 + 1 = -z. Let l = -3 + 4. Put l, -2, w in ascending order.\nAnswer: -2, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223642.\nAnswer: 2, 111821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*r**3 + 5*r**3 - 76*r**3)*(1 - 1 - 2*r) + 0*r**3 + 3*r**4 + 0*r**3 to l*r**4 + b*r**2 + v + s*r**3 + f*r and give l.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 592 - -3085228309.22.\nAnswer: 3085228901.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2 and (-16)\/(-40) + (-702)\/2380.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*x + 2*x - 23, -2*x + 7 = 3*d. Solve 9 = -2*y + x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87984826*r**3 + 9827738*r**2 + 2 wrt r?\nAnswer: -527908956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/8)\/((189\/18)\/7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4978100 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/(-147)*329\/(-564)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 446*r + 295. Let c be f(7). Suppose l + c = z, -15*z = -16*z + 4*l + 3405. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*h = 48, 4*f + h - 22 = 26. Are 13 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 - -1.37. Let d = q + -1.136. Let s = d - 0.05. What is s rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56788 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -837.\nAnswer: -837, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/60 and -77\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-2)*1*2*-2)\/(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11\/6 (b) 2\/15 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrv when three letters picked without replacement from vrvvrvvvrv.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9*1 + 1 + 3. Let c(d) = -7 + 14*d + 0 + 22*d + d. Let i(v) = -18*v + 3. Let t(x) = b*i(x) - 2*c(x). What is t(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21 + 0.029.\nAnswer: 0.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 648 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002112201 - -11122?\nAnswer: 1002201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from llllllylllll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1201 - -1240. What is the remainder when 623 is divided by y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1007*h + 607*h = -12000 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 131*k + 670. Let n be x(-60). Sort n, 0.1, 15\/14 in increasing order.\nAnswer: 0.1, 15\/14, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.36 - -0.04. Let f = -0.3 + p. Let y = 403\/5 - 81. Sort y, -1\/7, f in decreasing order.\nAnswer: f, -1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8990*0.2.\nAnswer: -1798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*l - 0*l - 25*l + 200 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbb when three letters picked without replacement from {b: 5, g: 4, d: 10}.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and -1.67 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {h: 1, x: 8, c: 5, v: 2, z: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -3, -8, 0.1, 0.047, 2.1 in descending order.\nAnswer: 2.1, 0.1, 0.047, 0.03, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*y + 65*y. Solve y = 220*t - 235*t + 60 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537\/358*(-8)\/78?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -480 - -484. Suppose 2139 - 294 = 5*h + z, -n*h + 1495 = -3*z. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*i**2\/7 + 69808*i\/7 - 2216.\nAnswer: -2*(i - 3878)*(9*i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -397*t**2. Let d(c) = -99804*c. Give a(d(w)).\nAnswer: -3954452851152*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 1, l: 1, a: 2, r: 2, t: 1}. What is prob of sequence tm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by -16\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/5, 3\/1163651, -4?\nAnswer: 3\/1163651","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55175 is divided by 228?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + 101111110?\nAnswer: 110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, k: 13, s: 2}. Give prob of sequence yw.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 6*c + 1. Calculate d(7).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -174462, -348784, -523106, -697428, -871750?\n\"Answer: -174322*f - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/13 + 260734*t\/13 - 782220\/13 = 0. What is t?\nAnswer: -130370, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 271*f + 18. Let j be x(7). Suppose -5832 = -j*v + 1907*v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28149903 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 6*k**2 + 2*k - 8. What is the smallest common multiple of 12 and r(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 5*n**2 - n**2)*(-5*n + 11*n**3 + 5*n).\nAnswer: 55*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155045?\nAnswer: 5, 11, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -64 + 104. Suppose 5*w + 2*m + 21 = 0, 0 = -4*w + 12*m - v*m - 6. Put 3, w, 7 in descending order.\nAnswer: 7, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6007015, 6007020, 6007025, 6007030?\nAnswer: 6007035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q - 20 = 0. Does 10 divide (q\/(-4))\/(-5) + 237\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 227*i - 231*i - 4. Let r(x) = -x**2 - 12*x - 11. Let w be r(i). Suppose -4\/3*p**2 + 4\/3 + w*p = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 8 + 11)*(-21*x**2 + 25*x**2 + 18*x**2 + (2*x - 3*x - 3*x)*(3 - 3 - 2*x)) to w + l*x**2 + v*x and give l.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5535936071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 1:42 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/1465, 4, 2\/95?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 24*j - 44. Let z be y(22). Suppose z = -4*x - 0*x + 228. Suppose x = 13*c + 5. Solve -m = m + c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12*(-10112)\/(-8848).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s**3 - 7*s**2 + 4*s. Let l be u(1). Let a(w) be the second derivative of w**5\/20 - w**4\/3 - 5*w**3\/6 - 7*w**2\/2 + w. What is a(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -3, 4, 20, 2, 98, -9 in ascending order.\nAnswer: -9, -3, 2, 4, 20, 24, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 9, 3, 1, 22, 26, 5.\nAnswer: -6, 1, 3, 5, 9, 22, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + p - 15. Suppose 4*m - 2*l = -11 + 43, 0 = -p*m + l + 34. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/(-24)*213\/(-52). Which is bigger: -6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 3360*m**2 + 3363*m.\nAnswer: -3*m*(m - 1)*(m + 1121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9336 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2207764.2 months to centuries.\nAnswer: 1839.8035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, 3, 1, 15 in ascending order.\nAnswer: -231, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95)*-2*-6 - sqrt(95)))*3)\/(sqrt(245) + 5*(sqrt(245) - sqrt(245)*-2 - sqrt(245) - sqrt(245)) - sqrt(245)).\nAnswer: -6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t**2 - 7*t + 5. Let f(l) = -10*l**2 + 15*l - 11. What is 4*f(s) + 9*z(s)?\nAnswer: 14*s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1490.356415 and -3?\nAnswer: 1487.356415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/7 + 30*n + 208\/7 = 0. What is n?\nAnswer: -104, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 300 - 284.7. Let l = i - 0.3. Let f = 15.09 - l. Round f to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -3)\/(4\/(-10)). Let m(f) = -f**2 - 10*f - 10. Let x(r) = 5*r + 5. Let k(i) = 6*m(i) + 11*x(i). Let p(t) = -t**2 - t - 1. Give n*p(u) + k(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 11 = 19. What is the greatest common factor of 17 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + 30186*c**2 + 34*c**4 - c - 30184*c**2 + 6*c**3 + 2 - 2*c - 4*c**3 to the form m + t*c**3 + h*c**2 + g*c**4 + v*c and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -10*s**2 - 10*s. Let t(y) = -y**2 - y. Suppose 0*u + 2 = 2*u. Let d(f) = u*r(f) - 8*t(f). What is the second derivative of d(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50420 and 189811132?\nAnswer: 10084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.66 + 40.16. Let h be 6 + (-3 + 2 - -2). Which is the closest to -1\/4? (a) o (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, 16, 13, 0, -29?\n\"Answer: -v**3 + 4*v**2 - 4*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 22*o**2 + 3 + 2*o - 6 in the form p*o + x + n*o**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 69179 + 19451 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1152698 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*z + 3*z - 4*r, -z - 28 = 5*r. Let k be 3\/(-4*3\/z). What is the first derivative of -a + k + 1 + 6*a wrt a?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/8*24\/(-126).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 85a92 - c7?\nAnswer: 859cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 17*n**3 + 2*n**2 + 2*n + 1. Let b be c(3). Suppose -3*r = r - b. What is the greatest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 44*g - 92 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3093 is divided by 77.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2\/15 (c) -0.298\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -42236.4 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.28 - 6. Let j = 0.2907 - r. What is j rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3875.778 weeks in minutes?\nAnswer: 39067842.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39507 is divided by 82?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4\/3, -0.168, -0.4 in decreasing order.\nAnswer: 3, 4\/3, -0.168, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/6 + 13\/12. Let q = -0.105 + 0.605. Sort q, r, -1, 1\/9 in ascending order.\nAnswer: -1, 1\/9, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 - -55. Let c = y + 54. Solve 5*t - c - 6 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-122 + 124)*(-10)\/4. Let b(y) = 65*y + 5. Let j(x) = 552*x + 42. What is k*j(g) + 42*b(g)?\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1823*u + 133086. Determine f(-73).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4052*f + 4048*f - 6*w - 36 = 0, -2*f + 10*w = -60 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(6\/(-3))*(-1)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8751149299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**4 - f**3. Let x(m) = 2*m**4 - 6*m**3 - 5*m**2. Let z(u) = 6*n(u) - x(u). What is the third derivative of z(c) wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-3\/2)\/j*j)\/(j\/(j\/((j\/j**(-3))\/j))*j*j))\/((j**(-3\/8)*j)\/j*j)**(4\/27))**(-13\/5) assuming j is positive.\nAnswer: j**(1963\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56582 and 2379422.\nAnswer: 45209018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -36. Solve a = -3*x - 0, 2*t = 3*x + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*y + 72*y - 33*y + 29)*(34 - 20 - 36).\nAnswer: 22*y - 638","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 - 0.48. Suppose u - 2 = 2*l, 0*u + 4 = 2*u. Which is the second biggest value? (a) l (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004365637923 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009841938 to 6 dps.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0641 rounded to three decimal places?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 11 - (0 - -3)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by (310\/15 + -2)*3?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 6:48 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 6\/5, -31, -15\/11?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umun when four letters picked without replacement from udnddmdddddndmuddd?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 240.\nAnswer: 239.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2052*f - 95. Let y(p) = -152*p - 7. Let o(g) = 7*r(g) - 95*y(g). Let m(l) = 64*l - 64*l - 3*l**2. Give o(m(k)).\nAnswer: -228*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*r**(-2))\/(r**(-3\/7)\/r**(5\/3)))\/((r**(-1)\/(r**4\/r))\/((r*r**(3\/5)*r)\/(r\/(r\/(r**4\/r))))) assuming r is positive.\nAnswer: r**(598\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, v: 5}. What is prob of sequence vv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5150436, -5150437, -5150438?\nAnswer: -5150439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14752 is divided by 221.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 2.53\nAnswer: 30.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36169021, -36169029, -36169037?\nAnswer: -36169045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -j + 3*s, 2*j + 36 = 6*j - 4*s. What is the tens digit of (7 - 9)*(-3)\/j*26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 35 = -3*z, -3*z - 2*z = 4*i - 64. Calculate the common denominator of (1 + z\/(-16))\/(2\/(-38)) and 4\/43.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 5\/((-10)\/8). Let w be 208\/32*(-56)\/(-2366). Factor -2\/13*n**c + 0*n**3 - w + 4\/13*n**2 + 0*n.\nAnswer: -2*(n - 1)**2*(n + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28*7\/112)\/(6*4\/32)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 501445151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrw when three letters picked without replacement from {v: 1, w: 1, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.194*-0.21803.\nAnswer: -0.04229782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 394753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 - 2*g**2 - 5*g + g + 10 - 16.\nAnswer: -2*g**2 - 4*g - 247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-80)*-12)\/((-6)\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a + -2607?\nAnswer: -258b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00350473211 rounded to six dps?\nAnswer: -0.003505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410147?\nAnswer: 29, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(10)*3)\/sqrt(648))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 50 = 2*w + 9*w, 85*w + 8 + 0 = 83*w for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 + 32475*q**3 + 876339*q**2 + 7885593*q + 23654592.\nAnswer: (q + 9)**3*(q + 32448)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 100*q + 26779. Calculate s(-121).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 1 = -c, 13*c + 15 - 2 = h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2462 is divided by 91.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 19*v - 16. Let p be g(-8). Suppose 3*n = i - 5*i + 12, -3*i + 9 = -n. Let -13*a**4 - 4*a**4 - 6*a**3 + i*a**2 + p*a**4 = 0. What is a?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -3243.4.\nAnswer: 22703.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 0, 3*p + 5*z = -0*p. Suppose -11*d + 114 + 7 = p. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 2*s**2 + 8. Determine k(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/22 (b) -1874216 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -2288, -4, -19, 4, -1 in descending order.\nAnswer: 4, -1, -4, -19, -38, -2288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 23*h - 138. Let a(n) = -1. Let w(q) = 138*a(q) - r(q). Let l(d) be the third derivative of -d**4\/24 + 5*d**2 - 11. Give w(l(o)).\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 13 + 6 = 0. Suppose 0 = -3*v - v + 3*g, -5*v - g = -n. Let o(z) = 19 - 15 + 4*z**2 - 3*z - v*z**2. What is o(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -31. Let y(q) = -u*q + 8*q - 5*q + q**2 - 8*q**2. Calculate y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/6 - 115*a\/6 + 109.\nAnswer: (a - 109)*(a - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-225)\/25 - (-132)\/16?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b - 9 = -29*b. Let s(y) = -11*y - 8. What is the remainder when 48 is divided by s(b)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4\/7))\/(v*v*v**20) assuming v is positive.\nAnswer: v**(-151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3)**38\/((f*f\/f**(-5\/8))\/(f\/((f*(f**6*f)\/f*f)\/f))))**(3\/2) assuming f is positive.\nAnswer: f**(2529\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16770457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 9012 (c) -0.3 (d) -4\/5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1263 - 3781 + 1260 + 1258 + 4911*y to h*y + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 0.02 (b) -0.2 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*12)\/((-908)\/(-182054)). Which is the closest to 3? (a) 1\/3 (b) g (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 26\/5 of a millisecond?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -503130547*c**6 + 2994*c**2 - 15606*c wrt c?\nAnswer: -60375665640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + 0.13. Let z = 17.2 + 0.8. Let v = z - 13. Sort y, v, 2\/9 in ascending order.\nAnswer: y, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15315 - 137833\/9. Which is the nearest to -0.2? (a) -1.9 (b) 5\/3 (c) t (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100011 - 101111?\nAnswer: 1000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-33 - -20 - -10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.303 (b) -2\/5 (c) -0.005 (d) -4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/4 - 6\/4. Suppose 0 = -v*u + g + 4*g - 33, 25 = 5*g. Let k(b) = -b**3 + 5*b**2 + 7*b - 7. Let p be k(6). What is the biggest value in 0.4, u, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1313, 1294, 1273, 1250, 1225, 1198?\n\"Answer: -y**2 - 16*y + 1330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -17, -41, -8.5 in increasing order.\nAnswer: -41, -17, -8.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1 = 3*f + 3, -5*f - 38 = -2*j. Let n be (6 + f)*(-1)\/(-3). Solve n = -o - o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - 16\/14 - (-9630)\/35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - j**2 + 3*j - 8. Let r be p(2). Solve 0 = 45*f - 44*f - r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*(12*r + 1 + 6 - 13*r) as u + k*r and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 21 = -4*l + 15, -l = -18*y - 9. Let t(a) = 3*a**2 - 9*a - 1. Determine t(l).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, -8, -38, -90, -170, -284, -438?\n\"Answer: -o**3 - 2*o**2 - o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 3623.\nAnswer: 4\/3623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 409*a - 805*a - 476 + 396*a in the form o*a**2 + b + w*a and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-3 - -9)*8. Solve 0 = -9*z + 4*z + 3*x - 6, -m*x + 8 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*j + 26 = 49, -5*l - 49 = -13*j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.46 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7816.2 and -5.\nAnswer: 39081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((5 - 1) + 3 + 0 - -6)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 4817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2440113 (base 5) in base 6?\nAnswer: -554135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 685*x + 263801. Calculate t(-385).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -240*z**4 - 4166*z**3 - 7*z**2 + z + 9821.\nAnswer: -5760*z - 24996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -916, -6 in decreasing order.\nAnswer: -3, -6, -916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 13. Suppose 0*q = 5*o + q - 6, -2*o = -z*q - 24. Solve 14 = 2*h + m, -o*m + 32 + 1 = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 - -118.7. Let p = 9.7 - n. Is 5 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + 8. Suppose -2 - 3 = -l - 2*d, 0 = 5*l + d - w. Solve 0 = -0*f + f - l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 0 - 3)*(-1333)\/(-62). Let f = x - -39. Let n(t) = -t**3 - 4*t**2 + 5*t + 1. What is n(f)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5561 - 7334 + 1417. Round f to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277162643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10911 - 10909.9568. Round s to 2 decimal places.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40738, -81472, -122204, -162934?\nAnswer: -203662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 45*w**2. Let l(d) = -5*d**2. Determine -55*l(x) - 6*r(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -0.1. Suppose -34*l - 12 = -28*l. Which is the third biggest value? (a) -0.2 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -248878.4 - -250545.141. Let x = z - 1666. What is x rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 18, -9, 3, -201, 2 in decreasing order.\nAnswer: 18, 3, 2, 0, -9, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(8\/3)\/g*g**(3\/25)*g**(-26)*g*g*g**(2\/45))**(-12) assuming g is positive.\nAnswer: g**(19952\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -3\/10*j**6 - 38\/5*j**3 - 63\/10*j**2 + 84\/25*j**5 + 6*j - 128 + 18\/5*j**4. What is i in f(i) = 0?\nAnswer: -1, 1\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2733524000 to the nearest 1000000.\nAnswer: 2734000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 1260.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.62215832 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -69\/5, 22, -2174?\nAnswer: -69\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/88 and -7\/147697?\nAnswer: 1181576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -407b + 295?\nAnswer: -3ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-12)*531\/870. Let u = k + -12\/29. Which is smaller: 21 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*n**3 - 197*n**2 + 153428 wrt n.\nAnswer: 186*n**2 - 394*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**5\/120 + c**4\/24 - 5*c**3\/3 + 6*c**2. Let b(x) be the first derivative of v(x). Let a be 5 + 0\/(-1) - 2. Calculate b(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204847\/25 + -8192. Find the common denominator of -31\/5 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -35*p**3 - 14*p**2. Let q be -1*(640\/100 + 7\/(-5)). Let o(x) = 23*x**3 + 9*x**2. What is q*w(b) - 8*o(b)?\nAnswer: -9*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 7*p**2 - 7*p - 3. Let m be n(-6). Suppose -m*s - 21 = -0*s. Suppose 0 = 4*u + 121 - 93. Are u and s non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*h = -13, h = -2*s - 3*h - 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(132) + -6*(-1*sqrt(132) - sqrt(132)) - sqrt(132) - 1*sqrt(132)*6)\/((sqrt(48) - sqrt(1728)*-3)\/sqrt(4)) + 2.\nAnswer: 2 + 18*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1199816 by 265.\nAnswer: 1199816\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32519746 to the nearest integer?\nAnswer: 5703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -171364?\nAnswer: 171367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21128 (base 9) in base 8?\nAnswer: 33206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 966463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, 468, 1975, 4866, 9591, 16600, 26343, 39270?\nAnswer: 55831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-5) + (9 - (-7949)\/5).\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a8b8 - 5?\nAnswer: -4a901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**2 - 9. Let a(j) be the second derivative of -7*j**3 + 47*j. What is x(a(k))?\nAnswer: -84*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 + -24. Let n be (0 + b)\/4 - -1. What is the first derivative of -3 - 3*c + 3*c + n*c + c wrt c?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(3\/(-14)) + 0. Let y be 5 - 7\/(o\/(-4)). Suppose 34 = s + y. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 10692?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4\/g)**(13\/3)\/((g**(1\/13)\/g)\/(g\/(g*g\/g**1))))**(-12) assuming g is positive.\nAnswer: g**(-2172\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.33 + -0.07. Let k = 0.5 + 0. Let f = k + -1. Which is the closest to -2\/5? (a) f (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 46*p. Let a(d) = 7*d + 8. What is t(a(o))?\nAnswer: 98*o**2 - 98*o - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3*v + 20 = 0, -473*y + 476*y + 5*v - 26 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 0*l - 5, 533*h - 538*h - 4*l + 150 = -5*l for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 5)*(-243 + 243 + 34*p) - 18*p - 5*p + 8*p.\nAnswer: -83*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 20*m + 2. Let q = -141 - -136. Let r(b) = -21*b - 3. Calculate q*r(a) - 6*h(a).\nAnswer: -15*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-20))\/c**15)\/(c**(-16\/9)*c*c**(-2\/27)*c*c) assuming c is positive.\nAnswer: c**(-949\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61576380.\nAnswer: 2, 3, 5, 17, 20123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2166, -8672, -19518, -34704?\nAnswer: -54230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**8\/6720 - y**7\/315 - y**6\/80 - y**5\/30 - 19*y**4\/3 + 9*y + 3. Let o(g) be the third derivative of z(g). Give o(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 284702 + -284698. Factor -2*r + 0*r**3 + 3\/4 - 1\/4*r**x + 3\/2*r**2.\nAnswer: -(r - 1)**3*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 280.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4941953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 230475.8 years in decades?\nAnswer: 23047.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**2 - 7*y + 47. Let g(n) = -n**2 - n + 5. Give 3*g(z) - j(z).\nAnswer: 2*z**2 + 4*z - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1874 + 1801.08. What is x rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63818 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.53394 decades to months.\nAnswer: 424.0728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t + 0*t)*(3 - 2 + 0) + 41007 - 20540 - 6*t - 20517.\nAnswer: -8*t - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 337367561 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -545*i**3 + 348 - 19*i**2 - 20*i**2 + 37*i**2 - 349 to the form s*i + j*i**3 + m*i**2 + d and give j.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 298*o**7\/7 - 40*o**3 + 217. Find the third derivative of h(p) wrt p.\nAnswer: 35760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xttxtxtttxxxtttxxx. Give prob of picking 4 t.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (y**2 + y**2 - 3*y**2)*(5*y - 27*y**2 - 14*y + 8*y) in the form u*y**3 + b*y**2 + i*y**4 + k*y + x and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -688a9 + -5?\nAnswer: -688ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*5\/50*5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/6 + 8*b**2\/3 + 23*b\/2 + 15 = 0. What is b?\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 + -3 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 14*p**2 + 12*p - 13. Suppose -70 = 5*r + 5*z, 5*z - 34 = 3*r - 0*r. Let h be s(r). What are the prime factors of h - (2\/7 - 2127\/21)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 641, 294, -49, -388, -723, -1054, -1381?\nAnswer: -1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.9 + 2.8. Let w = -8 - h. What is the closest to w in -2, 2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 5, -0.2, 9, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 199 + (-1 - -2)*1. Suppose 5*m = m + g. Suppose 0 = -373*r + 6*r + 90649. What is the remainder when r is divided by m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.6 * -0.25.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3642082*-0.08\nAnswer: -291366.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.035 + 0.165. Let h = 43.885 - 44. Let z = -0.005 + h. Which is the third smallest value? (a) -3 (b) 1 (c) x (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*w**2 - 29639057*w + 184645640 wrt w?\nAnswer: 6*w - 29639057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -28*(10\/4 - 3). Suppose 4 = -o + 5*n - 22, o - b = -5*n. Let p be 64\/(-24)*o\/4. Solve 12 = -p*u - x, -12 = -u + 3*u - x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -1924713?\nAnswer: -17322417","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-2) + 7315\/(-770). What is the closest to -0.1 in 0.8, h, 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 972\/(-648)*(-20)\/6*(-2)\/(-10)*-34.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2516 + -342. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13350139 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = 6*k - 24*k. What is the common denominator of (-141)\/9 + 15\/(k\/3) and 43\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 8. Suppose -4*u = 3*j - 2 - 14, 0 = 3*j + 2*u - 8. What is the units digit of a(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 12260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3031\/8 - 385. Calculate the common denominator of -3 - 0 - 339\/18 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4 = -4, -3*s = -j + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72888 and 3.\nAnswer: -218664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 44\/5 of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5 + 11 - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrj when three letters picked without replacement from {r: 2, j: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-4) - (-17)\/(-7). Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*2\/(-4)*8\/(-12). Let p = -33 - -34. Let u be 0 + 4\/(-7) + 1\/p. What is the nearest to u in -1, -1\/3, m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n - 5 = -4*l, 5*n - 5 = 0. Solve -2*v - 3*v + 11 = -2*s, -5*v - s + 17 = l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n + 21*n - 76*n + 27*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 6. Let t(v) = 474*v**2 - 1. Let w be t(l). Is 20\/50 - w\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -4*o**3\/3 + 1. Let a(i) be the second derivative of 0*i**3 - 6*i + 0*i**2 + 0 + 1\/12*i**4. Give a(w(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -114809*0.2\nAnswer: -22961.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -15\/73 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(1 + sqrt(147) + 1 + sqrt(147) + -4))**2.\nAnswer: -1960*sqrt(3) + 14896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + (sqrt(2057)*4*-5)**2.\nAnswer: 11*sqrt(17) + 822800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -19) + (-16 + 84 - -5) + -170.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -755, -2543, -6025, -11765, -20327, -32275?\nAnswer: -48173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**8\/1344 + g**7\/120 - g**6\/60 - g**5\/15 + 48*g**2. Factor f(r).\nAnswer: -r**2*(r - 4)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 6:05 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) -222 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 772.2322 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 49*a**3 + a**2 - 4*a + 1. Calculate the remainder when 67 is divided by k(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -763666 + -1*(-1 - 0). Suppose 5*q - 167001 + 35316 = 2*y, 4*q - 105350 = 2*y. Let c = u - q. Round c to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*v**2 + 24*v**2 + 15*v**2 + 25*v**2 - 29*v**2 to the form h + z*v**2 + i*v and give z.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -a7 (base 11) to base 14\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 32*m - 17. Give g(3).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (534 - 608) + (0 + -4 + -4 + -1 - 0).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -92\/17, -89, -2?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, o: 4, j: 6, e: 1, p: 1}. Give prob of sequence eojp.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g - 1. Let b(v) = -3*v**2 + 16. Calculate -b(a) + h(a).\nAnswer: 3*a**2 + 3*a - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87145 - -9934613\/114. What is the common denominator of -23\/24 and r?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*sqrt(63)*-3 - 5*sqrt(42)\/sqrt(6)*-5)*6)**2*-5.\nAnswer: -11648700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159528, 637806, 1434936, 2550918, 3985752, 5739438?\nAnswer: 7811976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5772 - 80895\/14. What is the common denominator of m and -17\/3350?\nAnswer: 23450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/28 + 6\/(-14). Suppose i = -k + 6*k - 45. What is the second derivative of -4 + k - 11*d**3 - 5 + 8*d wrt d?\nAnswer: -66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18152, 71421, 160200, 284489?\n\"Answer: 17755*j**2 + 4*j + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 5*u + 8. Suppose -4*n + 5 = -3*t - 14, 2*n - 8 = u*t. Let k = -5 + 8. What is the remainder when n is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232a71 (base 11) in base 3?\nAnswer: -11000210122011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*h - 8*h. Let y be (374400007 - (1 + -2))*-1. Let m be y\/(-52) - h\/(-26). What is m rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 123 and -67287676.\nAnswer: -67287553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 48 + 28 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 3*h**4\/8 - 8*h**3\/3 + 11*h**2. Let i be q(5). Let y = 32 - i. Calculate the lowest common multiple of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 125707 and 125712 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -827, -1661, -2497, -3335, -4175, -5017?\nAnswer: -5861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(4\/21)\/2. Suppose 0 = -2*j - 0 + 2. Let f be ((0 + j)*1)\/1. What is the closest to 1\/3 in s, f, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2 - 238*i - 445. Calculate p(-20).\nAnswer: 2315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529449.\nAnswer: 3, 31, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07631 and 7.\nAnswer: 0.53417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.582 + 1.182. Sort -4\/47, y, 0.5, -1 in descending order.\nAnswer: 0.5, -4\/47, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13272 is divided by 76.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4148*c + 4168*c + 380 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooffoo. Give prob of picking 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 15214200 to the nearest one hundred thousand.\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182 - -44. Let p = o - -141. Let w(u) = -u + 5. Let k be w(5). Solve v + 4*v + m = -10, -p*v + m - 14 = k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**(-2\/5)*c*c**2)\/(((c**(3\/8)*c)\/c)\/(c*c**7*c*c)))**(-2\/17))**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 922?\nAnswer: -91b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 84. What is n(0)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110628608*d**3*p - 94299558*d**3 wrt p.\nAnswer: 110628608*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, -3, -5\/8, -1\/2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 12:13 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -y - 2*k, y = -y - k - 29. Let r be 10\/y*6*-1. Solve 3*v = r*u, 4*v - v = u + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111010 (base 2) to base 12.\nAnswer: -18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154 - 66. Let v = -324 - q. Let w be (6\/(-8))\/(195\/v). What is the second smallest value in -0.2, w, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 3 - 1836*g**3.\nAnswer: -1836*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2398976 divided by 2.\nAnswer: -1199488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**2\/2 + 8*l + 9. Calculate p(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 7. Let i be f(-7). Suppose -3*u + r = 2 - 19, i = u + 5*r + 21. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 198464737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -159576, -159465, -159358, -159255, -159156?\n\"Answer: -2*v**2 + 117*v - 159691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.01 - -0.01. Let h be -10*((-118)\/(-24) - 5). Let j = -461 + 456. Which is the second smallest value? (a) j (b) h (c) 1\/2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -0.5, 16, -1842910?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-12)*(-7 + 1) - 50. Round c to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 225856318*g - 155216992 wrt g.\nAnswer: 225856318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 5*z - 34, 16*o - 5*z - 11 = 12*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3325 - 6?\nAnswer: 3316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 33*y**2 - 18*y - 9. Give z(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98808708.6ns to weeks.\nAnswer: 0.0000001633741875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1308 divided by -17.\nAnswer: -1308\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 891 and 124443?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 48. Find the first derivative of 2 - x*w**3 + 14 + w**3 wrt w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11645\/2 - -5647. Let r = i - -176. What is the nearest to -1.6 in r, -2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*d*o**4 - 13*d*o**2 + 16597*d - 2*o**4 with respect to o.\nAnswer: -232*d*o**3 - 26*d*o - 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least as big as -632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 12, 31, 60?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 1. Let f(y) = -51*y. Determine 6*d(n) - 2*f(n).\nAnswer: 96*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + (4 + 1 + -3 + sqrt(1088))*5 + 0)*3.\nAnswer: 29 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.16 - -1.093. Let q = 0.0670059 + m. What is q rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1314932975 + 1034.\nAnswer: 1314934009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -8. What is the closest to 3 in a, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6721217 is divided by 3687?\nAnswer: 3503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjgggj. What is prob of sequence gjg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 9:05 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.88 - -8.28. Which is the nearest to 7? (a) t (b) 29 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-2 + -5))\/(16\/12).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 21*o + 1. Let z be b(-1). Let s be 24\/15*z\/(-8). Suppose 0 = -4*r - s, -6 = 3*w - 4*w - 2*r. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let c(k) = 2*k + 2. Let z(i) = -3*c(i) + 3*x(i). Let u be ((-336)\/(-126))\/((-2)\/(-6) - 1). What is z(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/255)\/(-2*(-1)\/10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -s + 24. Suppose 0 = 11*z - 12*z + s. Let p = 33 - z. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5*(-2*sqrt(65) + sqrt(65)))\/((2*sqrt(20))\/sqrt(4)) + 5).\nAnswer: 20 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2946672 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -482 times 3\nAnswer: -1446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 = -2*v + 9, -12 = -v - 5*x. Suppose -28*g + 26*g = v. Let j = 130\/891 - -2\/891. Which is smaller: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 1e886ae8?\nAnswer: 1e886ae5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -t + 41. What is the remainder when t is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 7. Is w(-7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 301878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19873 is divided by 4964.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**2*y**3 + 2*v**2*y**2 + 17165242*v*y**3 - 2192*v*y**2 + 32*y wrt y.\nAnswer: 6*v**2 + 102991452*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.501962326 to 2 dps.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19\/4 of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*((2*sqrt(1053) + sqrt(13) - (sqrt(13) + sqrt(26)\/sqrt(2) + 0)) + (sqrt(26)\/sqrt(32) - sqrt(325)*-3)).\nAnswer: 1935*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 17 = -3*g - 2*g, 87 = 3*m + 3*g. Solve -5*r - s = m, 0*r - 2*s = 2*r + 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k - 1. Let p be l(0). Sort -2\/5, p, 0 in decreasing order.\nAnswer: 0, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {t: 2, z: 12, m: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699795496?\nAnswer: 2, 87474437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 divided by 53?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 2*i**2 + 3*i - 6. Let m be (-4)\/14 + (-33)\/7. Let f be w(m). Is (-1)\/(1 - f\/53) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154665047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2896*g - 68560*g - 3830*g)*(2 - 2*g - 3 + g) as k*g**2 + b*g + r and give k.\nAnswer: 69494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*s + l, s = -l - 0 - 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**5)\/x))\/(x*(x*x**(-2\/7))\/x))**(-9\/2) assuming x is positive.\nAnswer: x**(297\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -0.2. What is the second smallest value in 5, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -795006.357 + 794598. Let v = o - -408. What is v rounded to 2 decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(567) + 4 + sqrt(567))*-5*-3)**2 + (((sqrt(567)*2 - sqrt(567)) + 3)*-6)**2*-3.\nAnswer: 26568*sqrt(7) + 451692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9636 (b) -2\/9 (c) -5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*d**3*q**3*z + 8*d**3*q**2 - 2*d**3*q*z + 527*d**3*z - 12*d*q**3*z + 24*d*q**3 - d*q**2 - 2*q**2*z wrt q?\nAnswer: -66*d**3*z - 72*d*z + 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -547, -543, -537, -529, -519, -507, -493?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, 11.59, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201122 + 2020211?\nAnswer: 11222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18620 and 1839656.\nAnswer: 9198280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6952?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 - 14*(-23)\/(-322)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, j: 8, v: 3, f: 2}. What is prob of picking 3 v and 1 f?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*f**2 + (-3*f + 10*f + f)*(-2*f - 1 + 2 + 1).\nAnswer: -14*f**2 + 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-15)*(2\/(-1))\/(340\/10)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1698 and -41\/654?\nAnswer: 185082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011100 (base 2) to base 8.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:22 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2771 by 20633.\nAnswer: 2771\/20633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377693 is divided by 638.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 1:53 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 10) in base 12?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*s - 13 = 79 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110002 (base 4) in base 13?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dua when three letters picked without replacement from {a: 3, m: 4, g: 3, e: 2, d: 2, u: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -39, -4, 1, -7, -85 in ascending order.\nAnswer: -85, -39, -7, -5, -4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d - 22 = 2*o + 52*d, -4*o - 4*d = 24 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/5)*g*g**(-10))**(37\/3)\/(g**(2\/21)\/(g*g**(-1)*g)*g**(-1\/5)*g*g*g**(-3)) assuming g is positive.\nAnswer: g**(-10657\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 13) to base 12.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 168387250?\nAnswer: 168387246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t - 11. Let x(b) = 4*b**2 - 158*b + 3. Give x(o(d)).\nAnswer: 36*d**2 + 738*d + 2225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**5\/20 + 7*o**4\/12 + 7*o**3\/6 + 7*o**2\/2 - 2*o. Suppose -g = 7 - 1. Let m be w(g). Do 0 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128267 is divided by 254.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.67 + 2224887.\nAnswer: 2224895.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 259483954?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -37, 9, 2\/5, -130?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 10, 3*m - 36 + 9 = -4*w. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 37382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 168.987 - 169. Let m = 0.013 + k. Let x be (-3)\/(-8)*(-4)\/(-6). What is the nearest to x in 1, -2\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h + 13*h - 97*h**2 + 0 - 2 - 4*h - 9*h as o + l*h**2 + g*h and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*q + 127*q - 2422 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*w - 9*w + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)\/(((1*sqrt(132) + sqrt(132) - sqrt(132)) + sqrt(132))\/sqrt(11)))\/(-2*sqrt(396)*-6))**2.\nAnswer: 1\/10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22656 by -1416.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/13 greater than or equal to -2.222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -21105946?\nAnswer: 274377298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 120\/(-28) - 4\/(-14). Let v be (-2)\/j + 76\/8. Let q be 16\/v + -1 + -1. What is the closest to -1 in q, -1\/4, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 23 = -t, 3*t - 22 = t - 2*o. What is the lowest common multiple of t and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**4\/12 - 31*v**3\/6 + 18*v**2 - v. Let z(x) = 2*x**2. What is z(p(k))?\nAnswer: 8*k**2 - 248*k + 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222210 - -432002?\nAnswer: 1204212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmemm. What is prob of picking 1 e and 3 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10720732 and 8754?\nAnswer: 32162196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bssnnoonsnboob. Give prob of sequence ooss.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8*h*h**(5\/7))\/(h*h**2\/h)**(-27) assuming h is positive.\nAnswer: h**(446\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21901 and 59006?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, k: 4, s: 5}. Give prob of picking 1 s and 1 k.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q - 1 + 0*q + 20*q**3 + 3*q**3 + 4*q**3 to the form o*q**3 + p*q**2 + r + w*q and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 37794 = -32*a + 29*a, 5*q = 4*a + 37787. List the prime factors of q.\nAnswer: 3, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 137 + 0?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -4\/3*q**3 - 3*q**2 + 0 + 13\/15*q**6 - 3\/2*q**4 + 0*q - 4\/35*q**7 + 0*q**5 - 3\/28*q**8. Solve y(i) = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/4 + -18*9\/198. What is the nearest to 2\/5 in q, 1\/4, 5, -2\/203?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o - 80 = -51*o, 0*o - 40 = -5*t + t - 3*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 15. Let g be r(-13). Is 21 a factor of 175\/g - 1 - (-60)\/(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**3 - 355*m - 8. Let n(w) = -9*w**3 - 354*w - 10. Give -4*n(s) + 5*z(s).\nAnswer: s**3 - 359*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -r - 2. Suppose 1 = r*g - 5. Solve -g*k + 0*k + 5*j - 5 = 0, 2*k = -3*j + 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12592112?\nAnswer: 2, 13, 60539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101011001010 (base 2) to base 10.\nAnswer: -6858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 19*t**2 + 34*t + 2. Let x be s(17). Suppose 11*g**3 - 14*g**3 - g**4 - x*g**2 + 2*g**4 + 4*g**3 = 0. Calculate g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -17*o**2 - 2*o - 3. Let b be v(-1). Is -17 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -478*b - 2463. What is the units digit of i(-64)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -9 (b) 5 (c) -8\/5 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q + 32*q - 14 = 0. Let m = 87 - 52. What is the greatest common factor of m and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 1:58 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -5) + (-11 - -3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmsmmsm. What is prob of picking 2 s?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-17)*f**(-9)*(((f**1\/f*f)\/f)\/f)\/(f**(-13)\/f) assuming f is positive.\nAnswer: f**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1827448 divided by -130532\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.593118476337 from 1.253.\nAnswer: 1.846118476337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/101 in -0.1, -0.2, 173, 2\/13, -2\/3, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/(312\/126)*24\/9. Suppose 75 = t*o - 9. Let r(c) = -c**2 + 5*c - 7. Calculate r(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + (-6 - 1) + 12 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a day in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 2 - 2)*(-8*r - 6*r - 10*r - 7*r + 6*r) in the form u + b*r + x*r**2 and give x.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**4 + 2*h**3 + 117737*h**2 - 336144 wrt h.\nAnswer: 4*h**3 + 6*h**2 + 235474*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.7076g in milligrams?\nAnswer: 654707.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -191*h + 194. Determine v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**4\/4 + 4*w**3\/3 + 2*w**2 + 3*w + 3. Let d be s(-2). Suppose 0 = -d*h + 6*h - 3. Sort h, -5, -1.\nAnswer: -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123 - -205. Let p = -77 + j. Suppose p*b = -2*b + 21. Solve -b*l = z - 0*l - 4, -6 = -3*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = 2*z - 112. Let x = 3 - 1. Suppose 0 = 2*b + x*b + g - z, 4*b - 175 = g. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 5:33 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12402 divide 4254865758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -355*j - 13489. Give g(-38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7427990 divided by 1485598\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 36*b - 16*b + b**2 + 2 + 0*b as m*b**2 + p*b + h and give p.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57 + 67?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 m when four letters picked without replacement from {m: 5, u: 8}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35496683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Suppose x = 3*k - 4. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 41 = -5*n - 12, n = 4*j + 21. What is the fourth biggest value in 0, 0.5, -10\/169, n?\nAnswer: -10\/169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -14. Suppose -4*y = -1 - t. What is the closest to 1 in -2\/21, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*f + 18*h - 38*h + 16*h - 16 = 0, -8 = 4*f + 2*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000535 to 7 decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (26 - (28 + -8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67777369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -101011000 (base 2) to base 8\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -910*o + 55292 = -818*o. What is the remainder when o is divided by 74?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -22009.\nAnswer: -10\/22009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 7*w + 2*w - 10790, -3*w = 4*z + 14394. Round z to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + -1*sqrt(7))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = 4*o - 5*o, 5*o - 20 = 0. Suppose -1 - p = 2*i - 3*q, i + 4*q = 21. Suppose -i*y + 95 = -2*h, -h = -5*y + 25 + 65. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10}. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r - 6. Let h be w(20). Suppose h = 4*j - 26. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4806*b*f**4 - 178*b*f**3 + 5*b*f**2 - 8*b*f + 654*b + 47*f**4 + f**2 + 10*f - 2 wrt f?\nAnswer: 115344*b*f - 1068*b + 1128*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1216\/217 (b) -0.2 (c) -1\/3 (d) -2\/5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 6)*-4*(-6)\/(-36). Let r = -127 - -117. Sort 4, h, r in ascending order.\nAnswer: r, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4, -5*l + 4*k = -20 - 26. Suppose 0 = -a + 5*v + 24, -a - l*v + 5*v + 24 = 0. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 - 115.811. Let s = 0.589 - c. Let i = -0.1 - 0.2. Put 9, i, s in descending order.\nAnswer: 9, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + d**4 + 6*d**2 - 2*d**4 + (-3*d + 2*d + 0*d)*(-2*d**3 + 2*d - 2*d).\nAnswer: d**4 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 - 49*d**2 + 13*d + 165. What is the thousands digit of o(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 349 + -346. Find the second derivative of -4*d**3 + 45*d + 0*d**l + 4*d**3 - 21*d + 31*d**5 wrt d.\nAnswer: 620*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*3\/(-12)*-454. Let l = 77 + 61. Let q = z - l. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1988530 to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13443*b**5 - 29*b**3 + 36022317*b wrt b.\nAnswer: -268860*b**3 - 174*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279 a factor of 58928103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 20*m + 8822. Let t = -762 - m. Calculate the greatest common divisor of 64 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4116 by 6.\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1899 + 0.1699. Sort g, 2.5, 4 in decreasing order.\nAnswer: 4, 2.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 43 - 14. Let t be -2*(2 - (-4 - -4)) - -536. Suppose t = -15*o + 22*o. What is the greatest common divisor of c and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -699 + 698. Suppose 3*y - 2*y - 20 = 0. What is the units digit of j\/4 + (-5)\/(y\/(-157))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -471 = 1503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -18014410 to the nearest 100000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 347*t - 360*t + 1222. Calculate the remainder when ((-246)\/(-16))\/(t\/752) is divided by (-2 + 2)\/(-1) - -18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99507721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16052 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4500 + -3014. Are 1488 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70679\/13 + 4\/26 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -178*y - 21*y**2 - y**2 + 23*y**2 + y**3 in the form t + o*y + d*y**3 + u*y**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-18) + (-748)\/36. Let r be (-14)\/30*6\/g. What is the nearest to -0.2 in 5, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6601854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0 - -22) + -1288 + 1286 - -18.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1686 + -0.0686. What is the second smallest value in 2\/15, g, -0.12, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + 197. What is the second derivative of -25*f + a*f**2 + 202*f - 340*f**2 wrt f?\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -24 + 159*t + 246*t - 20*t**2 - 30 - 224 - 117. Let o(i) = 29*i**2 - 608*i + 593. Let f(h) = 5*o(h) + 7*q(h). Find l such that f(l) = 0.\nAnswer: 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*p = 60. Let x = 168 - p. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45505 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 836, 1676, 2516, 3356, 4196?\n\"Answer: 840*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -38*y - 160 - 285 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 65530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/7 (b) 2\/11 (c) -0.2 (d) 8\/41 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 27*z**2 - 60*z + 38. Let d(o) = 28*o**2 - 60*o + 39. Suppose 0 = -33*p + 28*p - 30. Let r(q) = p*g(q) + 4*d(q). Factor r(b).\nAnswer: -2*(5*b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + (-3 - -6))*(-10)\/(-4). Sort -2, -5, x, 3 in increasing order.\nAnswer: -5, -2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) + 15\/(-10). Let p be y\/(((-4)\/(-1))\/2). Let w be p + (3 - (2 + 1)). Put w, 0, 3\/4 in decreasing order.\nAnswer: 3\/4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2*36\/54?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(2 - -6))\/(1\/(-4)). Suppose 4*b - 234 = -2*a, -k*a = -3*b + 2*b + 71. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270537800 rounded to the nearest one hundred thousand?\nAnswer: -270500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -29183400 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/1154?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c - 1. Suppose -3*y - 9*x + 7*x + 6 = 0, y - 9 = -3*x. Suppose y = -3*l + 5 - 17. Calculate o(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*d - 20 = 5*p, 2*p - 2*d + 20 = 0. Let w(z) be the second derivative of 0 + 1\/12*z**4 - 41*z - 5\/2*z**2 + z**3. What is w(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5157 + 1200. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26397131?\nAnswer: 59, 447409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 2*r**2 + 0*r**2 + (3*r - 2*r + r)*(2*r + 2*r - r))*(1 - 1 - 5).\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 1:05 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1*1)\/((-32)\/(-160)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (653*b - 5244*b + 262*b**3 - 10506*b - 263*b**3)*(-4*b + 2*b - b).\nAnswer: 3*b**4 + 45291*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 355*f**3 + 315*f**3 - 2*f - 29*f**3 + (-3*f - 4 + 4)*(-4 + 4 + 3*f**2) to the form q*f**2 + u*f + p*f**3 + i and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2626 and 24947.\nAnswer: 49894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1261653 - -304?\nAnswer: -1261346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 192 in -2, 357, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*m = 1, 3*m + 20 = 2*f - 0*m. Suppose -f = -5*l + 23. Let i be (l\/(-4))\/((-1)\/2). Solve 1 = -i*c - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 220 - 220. Let d(c) be the second derivative of 3\/10*c**5 - c + 1\/3*c**4 + 0 + a*c**2 + 0*c**3. Find the third derivative of d(n) wrt n.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9253.767 months?\nAnswer: 0.77114725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 2*f**3 - 16*f**2 - 26*f**2 - 3*f**2 + 45*f**2.\nAnswer: -2*f**3 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = -4*s + 3, -3*q + 2 = 5*s. Let n(i) = 43*i**3 + i**2 - i + 1. Let u be n(s). Let f = u + -29. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 288.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157 + -143.2. Let u = 13.8595 - a. Round u to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/41 > 293.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, -0.286, -0.8 in decreasing order.\nAnswer: -0.286, -0.4, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(((d\/(d*d*d**14*d))\/d)\/d*d)\/d*d*d*d\/(d\/(d\/d**13)*d))**(5\/6) assuming d is positive.\nAnswer: d**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 + 2 + 11*n - 1.\nAnswer: 11*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-11984)\/253 - -47 - 50\/(-110)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4159.7044 to the nearest ten.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {i: 1, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(156) - (sqrt(156) - sqrt(156)*-2*-4))\/(sqrt(640)\/sqrt(10)))\/(sqrt(363) - -2*sqrt(363) - sqrt(24)\/(3*sqrt(8))).\nAnswer: -1 + 3*sqrt(13)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1047)\/17799 - (-294)\/4131\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(171) - (sqrt(171) - sqrt(171)*-2))*-5 + (sqrt(171) - 2*sqrt(171)*1))\/(sqrt(45)\/(2*sqrt(180) + sqrt(180))).\nAnswer: 2 + 162*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5 = -3*p, -8*w + 4*w + 5*p + 9 = 0. Is w + (1*492)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c + 5*o = 14*c + 250, 0 = 2*c + o - 122. Solve -12*m - c = -24*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 46. Let m(s) = -3 + 17*s - s**3 + 38 - 18*s - 18*s**2. What is the tens digit of m(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5 + -11)\/(((-3)\/68)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 310162 by -1.\nAnswer: -310162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -27) + (20 - 17) + 3\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2 + (6 - 3 - 1)*(-4 + 0 + 3) - 5 - 1 + 4 + (-2 + 3 + 1)*(2 + 1 - 5) - 6 + 2 + 1)*(l - 2*l**3 - l).\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22533 - 0.127.\nAnswer: -22533.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2344 and 130094344.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137 - -178. Let x = 40.2 - s. What is the fourth smallest value in 3, x, 2, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 285*p**2 - 5415*p + 34295. Let t(g) = g**3 + 570*g**2 - 10830*g + 68590. Let o(k) = 11*h(k) - 6*t(k). Factor o(r).\nAnswer: 5*(r - 19)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-6)*(-84)\/(-35). Let a = -5 + l. What is the first derivative of n - 2 - a*n + n wrt n?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 44*u - 57. Let c(y) = 3*y**2 + 48*y - 56. Let n(o) = -3*c(o) + 4*t(o). Let w be n(30). Suppose k + 0*k - 10 = 0. Solve w = -f - f + k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.03, -3\/7, -1, 2\/9, -9\/32, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/6605 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*h - h = -934*h + 166*h - 72120 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovvpwplppop. What is prob of sequence ow?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 3*l**2 + 28*l - 19. Let r be z(8). What is the highest common factor of r and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 4. Let z be c(-4). Suppose -96*o + 98*o + 12 = 4*g, o - 4*g = -14. Solve 0 = o*b - 3*b - z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181365967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**6\/6 - 2*x**3\/3 + 69*x**2\/2 + 20*x + 1. Differentiate j(r) with respect to r.\nAnswer: -20*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 425164 (c) -2 (d) 2\/13 (e) -3\/5 (f) 0.5 (g) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away 141290?\nAnswer: -141297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 20, 5*x + 3*u = 6*u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 1.8566.\nAnswer: 3.7132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 389522. Let n(x) = -2*x**2. What is o(n(t))?\nAnswer: -8*t**4 + 389522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 19 = 34. Suppose -y*v = -70 - 50. What is the common denominator of v and 31\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -783, -781, -779, -777, -775, -773?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -19694 at most as big as -19697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l + 3*l)*(1 - 3 + 1) + 57*l - 169*l + 53*l + 143 + 58*l.\nAnswer: -2*l + 143","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5352*b + 532*b - 503*b - 142685 = 144757 for b.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5320)\/1900 + 54\/5. Solve 27*j - 46 = c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8023, 0.038, 2?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 37382?\nAnswer: 37387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 + 0*u**3 - u**3 - 10*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28015487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 2551 (c) 553 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123819113?\nAnswer: 11, 3217, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*n - 141 = -21. Sort n, 2, -7 in descending order.\nAnswer: 2, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w + 30*w = -36 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 61*s**2 - 738*s - 2815. Calculate g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 286682491 to the nearest integer?\nAnswer: 16932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l - l**2 + 1\/12*l**5 + 0*l**4 - 11\/6*l**3 + 0. Differentiate f(x) wrt x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4622061 (base 12) to base 10\nAnswer: -13481929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8774 - 8790. Which is the smallest value? (a) -1 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 10*t + 13, 4*f + 8*t = 4*t - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 1347*p**3\/2 - 675*p**2 - 2691*p\/2 + 3 = 0. What is p?\nAnswer: -1, 1\/449, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 + 37*t - 16*t - 8*t**2 - 22*t.\nAnswer: -16*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/575925 smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-0.714195.\nAnswer: -0.00714195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k + 2*k + 0*k - 3*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203830.3ml to litres.\nAnswer: 203.8303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6233, 6198, 6117, 5966, 5721, 5358?\nAnswer: 4853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3678 - -3697. Calculate the greatest common divisor of 41 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1078208.\nAnswer: -5\/1078208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14304 + -3201?\nAnswer: 11103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -158198, -158194, -158190, -158186, -158182, -158178?\n\"Answer: 4*m - 158202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24918 - 24926. Let s(j) = 2*j**3 + 17*j**2 + 9*j + 33. What is s(c)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 - 8*f + 4 - 4*f**2 + 7*f**2 in the form o*f**2 + m*f + k and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/9 and -7\/28302.\nAnswer: 84906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = a + 3*a + 2*s, -a = -2*s. Suppose -r + 0*r + 4*h = -3, -12 = -2*r + a*h. Which is bigger: r or 20\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 741840 and -875.\nAnswer: 740965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3\/4 - 5*q**2 - 16*q = 0.\nAnswer: -16, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2606*v**3 + 3356*v**2?\nAnswer: -15636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.2 + 15. Let y = 9.1 - 9. What is the nearest to y in i, -0.08, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -111111?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502710427?\nAnswer: 502710427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 15. Which is the third biggest value? (a) 2\/3 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/50*24\/9. Suppose 1 = -d + 12. Suppose d = n - 3*g, -n - n = -3*g - 10. Put -0.3, 0.3, r, n in descending order.\nAnswer: 0.3, -0.3, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -713 = -4*h + 1359. What is the smallest common multiple of h and 56?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = 3*l + 1 - 11, -9*i + 60 = -14*i + 5*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/21 (b) -3 (c) 3 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2 + -3) - (-14 - (-1152)\/60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 130*q + 92. Let y(f) = -33. Determine -2*a(w) - 6*y(w).\nAnswer: -260*w + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.5 (b) 5 (c) -233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**5\/60 + 9*p**2 - 2*p. Let c(j) be the third derivative of j**5\/60 + 2*j**2. What is v(c(t))?\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*b**2 + 4*b**3 - 40*b**2.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 74a5?\nAnswer: -74a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**3 - 2*o**2 + 9*o - 10. Let a be i(-6). Let r be ((-1)\/4)\/((-32)\/a). Let c(w) = -242 - 2*w + r*w + 252. Give c(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c = -34*c + 93. Let i = 449 + c. Let m be i\/(-56) + 8 + (-76)\/14. Let t(b) = b**2 + 5*b - 4. What is t(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 5:22 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 88*w - 86*w + 2, 0 = 3*f + w + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -226, -10, 589 in descending order.\nAnswer: 589, 2, -10, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*k**2 + 34*k**2 + 37*k**2 - 125*k**2 - 3*k as s*k**2 + j + i*k and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 13*f + 9. Suppose -3*d + 23 = 8. Suppose -a - 63 = -4*o + d, -2*a = -2*o + 40. What is the least common multiple of k(7) and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 422110 by -18.\nAnswer: -211055\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 588 and 1470.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**6 - 30*f**3 + 223*f**2 wrt f.\nAnswer: -480*f**3 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*r**2 + 97*r**2 - 12*r + 39*r**2 + 44*r**2 + 158*r**2 in the form q*r**2 + p*r + h and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:55 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490096179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 79, 120, 163?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 2:10 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.239 - 22.50525.\nAnswer: -22.74425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 353.42704 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -591*f**3 - 6*f**2 + f - 7. List the prime factors of w(-2).\nAnswer: 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3049.1 and -2.\nAnswer: 6098.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6268 rounded to 2 decimal places?\nAnswer: 3.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -s + 3*s - 183, o + 375 = 4*s. Let f = s - 28. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwvwwwwwwwwwwwnww. Give prob of picking 1 v and 2 w.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148553951 by -75677.\nAnswer: -1963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -34. Calculate the remainder when 29 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**3\/6 + m**2. Let w = -14 - -3. Let i = w + 29. Let q(b) = b + 9. Determine i*x(y) + 2*q(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 42 = -6*u. Let l be (-872)\/8 + 2 + u. Find the common denominator of -99\/16 and (l\/16)\/((-216)\/160).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1769628.9 months to years.\nAnswer: 147469.075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 410\/13?\nAnswer: 410\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803900 rounded to the nearest ten thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -69*i + 67. Let y(n) = 69*n - 74. What is 4*t(k) + 3*y(k)?\nAnswer: -69*k + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2. Let n(q) = 25*q + 5. Let f be n(5). Let w be 135\/f*4\/(-3). Which is smaller: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-213)\/(-12) + (-3)\/(-12). Let h be 6\/o - 46\/(-6). Find the first derivative of -3 + h*n + 0 - 5 + 5 wrt n.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2143277 - 0?\nAnswer: -2143277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srsnzsronzsonf. Give prob of sequence nso.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)*o*o**(-7))\/(o**(-10\/7)*o**(-15)*o) assuming o is positive.\nAnswer: o**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914361998?\nAnswer: 2, 11, 67, 71, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 4 (c) 1\/2 (d) -2\/8601 (e) 3\/7 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * -26774604\nAnswer: -3480698.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10208 - 5102. Let n be ((-90302)\/(-54))\/(i\/(-60)). Let q = n - -3\/1531. What is the common denominator of q and -41\/25?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 15. Let n be 0 + 15*12\/t. Solve -4*s - n = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 1\/6*a**2 + 1\/6*a + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**3 - 890*q**2 + 27295*q - 26410 = 0.\nAnswer: 1, 38, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 10*k**2 + 2*k + 11. Suppose -z - 3*z + 1625 = 5*x, 3*z = -2*x + 1210. What is the remainder when z is divided by m(10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268 + 124 - 79*r + 3*r**3 + 77*r - 944 + 285 + 267.\nAnswer: 3*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-19 + (1 - -11) - (8 - 26))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/2240*10*2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -783060 divided by -1860\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3700687 - 44900 - 32145 = -526*j. Is 245 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 4\/21, -1\/4, -2\/17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = j - 19, 5*c - 4*j - 13 = 11. Suppose a = c*a - 51. What is the remainder when a is divided by ((-8)\/(-10))\/(3 + (-43)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1210\/(-75) - -8) + 8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 8*u**2 - 9*u + 13. Give h(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.102288351 rounded to 5 dps?\nAnswer: -0.10229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2003 and 65936?\nAnswer: -132069808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 21056137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 156088 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 139326, 280139, 420950, 561759, 702566?\n\"Answer: -k**2 + 140816*k - 1489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1107*x = -1119*x + 70560. Is x a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 28*g**2 - 11*g + 85. Let v(h) = -26*h**2 + 10*h - 71. What is -6*v(y) - 5*w(y)?\nAnswer: 16*y**2 - 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4228109*s**5 + s**4 + s**3 + 5638217*s**2 wrt s?\nAnswer: 253686540*s**2 + 24*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i - 14. Let t be c(-7). Is 4 a factor of -1 + t + (-8)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x. Let i(y) be the first derivative of y**2\/2 + 4. Calculate m(i(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1200*w**2 - 74404*w + 252. Determine c(62).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 316*z - 2337. What is c(7)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v**3 - 1509*v**4 - 3769*v**4 + 21958*v + 4*v**3 - 22709*v wrt v?\nAnswer: -63336*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdfd. Give prob of sequence ddr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 24570.\nAnswer: 270270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5344 and 890294368.\nAnswer: 5344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -169*n - 56. What are the prime factors of p(-6)?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -186.3 - -186. Let d = 1 + 1. Suppose -145 = -5*v + 4*f, d*f + 94 = 3*v + f. Which is the third smallest value? (a) v (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*-2*sqrt(637)*6)**2 + -1) + 0.\nAnswer: 275181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:58 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9383 in 2, 0.3, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + p + 1. Let k(s) = -4*s - 6 + 3 - 5*s + 4*s. Let y(o) = 5*a(o) + k(o). What is the first derivative of y(v) wrt v?\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1748 and 556301?\nAnswer: 2225204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9533 is divided by 298.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 212*c**2 - c. Let n be k(1). Suppose 5*j - n = -26. Calculate the remainder when j is divided by (-252)\/(-20) + (-6)\/(-45)*3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**3 - 200*p**2 - 43*p - 1590. Give l(-40).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*z + 5 = 0, -4*b + 4 = -11*z + 15*z. Let y = 6 - 5.6. What is the third biggest value in 3, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -302\/3, -2 in descending order.\nAnswer: 0.1, -2, -302\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -51117, -0.6012, 5?\nAnswer: -51117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -186, -188, -192, -198?\n\"Answer: -t**2 + t - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18 - -9)*((-1463)\/297 + 5))\/10?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8720 - 8394. Let l(r) = 11*r - 2. Let w be l(2). Is (0 - (w + 1))*z\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196345 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 3207. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690707 is divided by 2521.\nAnswer: 2474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000111 - 11?\nAnswer: -10011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14352 - 2453 - 17824 + 6129 = -375*r for r.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kda when three letters picked without replacement from {a: 1, p: 4, d: 1, k: 2, m: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4433692 rounded to 1 decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*a + 38*a = -30, -g = -4*a + 28. Let t = 21 + -15. Which is bigger: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5260 + -42145\/8. What is the common denominator of -71\/10 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**3 - 27059*t**2 - 7*t - 2923827?\nAnswer: 3*t**2 - 54118*t - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 13*g - 142, i + 4*g - 2*g - 19 = 4*i - 2*g + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + u + 1 - 1)*(-10*u - 2*u - 7*u).\nAnswer: -19*u**2 + 76*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = o + 8. Suppose -3*f - o = -2*v, -11 = -f + 3*v - 8*v. Are f and 1\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10677132 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -263 or -3691\/14?\nAnswer: -3691\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 56*f**3 + 4*f**2 - 3*f + 13. Let s(v) = -54*v**3 - 3*v**2 + 2*v - 12. Let q(n) = -3*s(n) - 2*t(n). What is the third derivative of q(l) wrt l?\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 15*z**2 + 2*z + 3. Let t be u(-1). Solve t*q = -0*q + 48 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4*n - 7)*(n**4 + 2*n**4 - 5*n**4 - 2*n**4 - 4*n**4 + 5*n**4 + (n**3 + 0*n**3 + 0*n**3)*(5*n - n - 2*n) + 2*n**4 + 3 - 3).\nAnswer: -4*n**5 - n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -2*x**3\/3 + 3*x**2\/2 + x - 2. Let h(m) = -m**2 + 2*m. Let z(l) = 5*h(l) - 3*t(l). Calculate z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2 + 6679784*x + 11154878571664 = 0. What is x?\nAnswer: -3339892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 0 + 5*o**2 + 1261\/6*o**3 + 17*o. Let d be b(-10). What is d rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 823477\/2 or 411738?\nAnswer: 823477\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32, 2042, -1617?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95\/4*a + 25\/4 - 5*a**2 = 0.\nAnswer: -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 23. Let y be (18\/8)\/((-210)\/(-3920)). Let z = y - j. Is z smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 45*l**3 + 157*l**2 + 5*l - 5. Let m(p) = -68*p**3 - 235*p**2 - 7*p + 7. Let r(b) = 7*i(b) + 5*m(b). What is the third derivative of r(g) wrt g?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -49971, -49970, -49969, -49968, -49967?\n\"Answer: l - 49972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70323730 to the nearest integer?\nAnswer: 8386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1154212 + 10002?\nAnswer: -1144210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - 1)\/(-4) + 2 + 95.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -400*d**2 - 3*d + 30. Let l(v) = 7*v. Calculate l(z(i)).\nAnswer: -2800*i**2 - 21*i + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -6 + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 521, 716, 1047, 1520, 2141, 2916, 3851, 4952?\nAnswer: 6225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from uzuuuuuzuuuuzuu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 34*p**2 - 110*p + 45. Let o be k(-37). Solve 0 = -0*s + o*s - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428182 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p = 8 - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 11212.09 micrometers?\nAnswer: 0.00001121209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 32 = -44. Let r = -14 + c. Suppose -19806 = -2*m - m - 2*n, 33009 = r*m + 3*n. Round m to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 0*m**2 - 8*m**2)*(48*m - 8*m - 23*m).\nAnswer: -102*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69*s - 99*s - 104*s)*(-s**2 + 4*s - 4*s) + (0 - 3 + 5)*(-3*s**3 - 4*s**3 + 6*s**3) to r*s**2 + z*s**3 + u + c*s and give z.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4168 + -2583. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/((-6)\/27). Let s = -0.015 + -3.285. Let l = -3 - s. What is the second biggest value in r, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1728\/5*b + 252\/5*b**2 - 84\/5*b**5 - 1564\/5*b**3 + 432\/5 + 676\/5*b**4 = 0.\nAnswer: -2\/3, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*r**3 - 37*r**3 - 32*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k = -k - 27*k + 1196 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-687 - 362 + 382)*(2*x + 0*x + 0*x) + 2*x - x - 2*x + (2*x - x - 2*x)*(2 + 2 - 3).\nAnswer: -1336*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -4 - (3 + -2)) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.4, 79 in decreasing order.\nAnswer: 79, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 6. Calculate j(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 156501891 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -6, 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 3 + (-3 + 3 + 1)*(-3 + 5 - 4))*(0 + 3 - 4)*(2*j + 0*j - 4*j) to f + h*j and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-172)\/(-60) - 8\/(-60). Suppose 9 + 117 = 3*j - p*k, -4*j = -3*k - 168. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c + 44*c - 87*c + 294672 = 0. What are the prime factors of c?\nAnswer: 3, 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a factor of 628025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262913, -262910, -262907, -262904, -262901?\nAnswer: -262898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1 + (-2 - 2 + 5)*(-17 - 22 + 63))*(2*h**3 + 2*h**5 - 2*h**3).\nAnswer: 52*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + 222*n**2 - 222*n**2.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99006 or -99043?\nAnswer: -99006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -660 - -652?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 7*j**2 - 22. Let t be l(-4). Let f(o) = 3 + 5 - t*o + 3. Is f(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/7 - 3818*d\/7 - 208820 = 0.\nAnswer: -1379, -530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 26*h**3 + 4*h**2 - 2*h + 2. Let t(l) = 78*l**3 + 11*l**2 - 6*l + 6. Let x(g) = -11*r(g) + 4*t(g). Does 26 divide x(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5309476874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r. Suppose 342 - 786 = -6*h. Suppose h*n = 79*n - 45. Let x be (-16)\/7 + (-4)\/(-14). Let c(j) = 2*j. Calculate n*c(s) + x*y(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 3 - 3)*(0 + 2 - 4).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k - 12*k + 6*k + (0 + 0 - 2)*(k + k - 3*k) + 3*k + 0*k - k + 2 + 3*k - 2 - k + 3 - 3)*(1 - 2 + 27).\nAnswer: -156*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1106.7 + -1083.7. Which is bigger: -655 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -1) + (1164 - 1149).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 24.999988. What is h rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 15*q = 20*q + 4*q - 1206 - 434, -3*q = -2*n - 124 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 43*p**2 + 6*p - 88. Let l be a(43). Let s be 274\/8 + 2\/(-8). Calculate the highest common divisor of l and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 2*t + 25. Suppose 145 = 5*a - t*m, a + 4*m = 22 + 27. Let z = 16 - 5. What is the highest common factor of a and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(1 - 1 - 2)*(0*v**4 + 2*v**4 - v**4).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 564 = 2*r + r. Let m = r - 184. Solve 0 = 5*s + 4*j + 25, 3*j = -m*s - 15 - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.4. Let q be 1 + 17\/(-15) + 7\/(2730\/(-143)). Which is the nearest to -0.3? (a) -18 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 189049099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 1:00 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 979 and 15015.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.09, -2479, -0.5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 1:14 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -346?\nAnswer: -69.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 14 - 6. Suppose 8 = m*l - 0*l. Is 9 a factor of -10*1\/l*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c - 14*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**2 - 6*o + 6. Let s be n(1). Suppose -b + 0*b + 22 = p, 5*b - 4*p = 74. Suppose 2*i = -2*k - 4, 3 = -3*i - 5*k - 7. Solve i = 3*x - b + s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -19*r**7\/350 - 23*r**6\/200 + 11*r**5\/100 + 3*r**4\/8 + 2312*r**2 - 1. Find t such that u(t) = 0.\nAnswer: -1, 0, 15\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbkbkb. What is prob of sequence bkb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 30 - 48 + 0*j - 6*j**2 + 21 + 4*j**2 - 5*j. Let b(l) = -l**2 - 4*l + 3. Give -5*b(t) + 4*m(t).\nAnswer: -3*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 11:23 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -503 >= -21\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1126534.5 to the nearest 10000.\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.7 - 176.7. Let z = t + 148.2. Let f be (-1)\/(1 - 7)*-4. Which is the closest to z? (a) -0.3 (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -22*s**2 - 2*s - 3. Let w(j) = j + 1. Let k(r) = o(r) + 3*w(r). What is the second derivative of k(l) wrt l?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/42)\/((4200\/245)\/(-20))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -21. Let w be 20\/(-6)*v\/10. Let j be (w + 3 + -1)\/2. Solve 0 = -j*u + u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 692 + -374. Let k = v - 317.9. Let s(t) = -t**3 + 7*t**2 - 5*t - 8. Let n be s(6). Which is the third biggest value? (a) n (b) 1\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*x = -136*x + 9 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/((-1)\/((-4815)\/(-18)*70\/(-175))).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2) + (-68)\/595*-7.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60298 is divided by 134.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-228))\/((-402)\/268).\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 8:54 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.074\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 2*z**2 - z - 4. Suppose -5 + 0 = -5*i. Calculate the least common multiple of i and h(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = -0*z. Calculate the remainder when 69 is divided by 7\/(-7) + 5*z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0 + 3 = 0. Let p(d) = -216*d - 1. Let u be p(c). Let b = u - -97. Round b to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 254\/10 + (-3)\/(-5). Does 6 divide n*(-1)\/(-4)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7383 divided by -3\nAnswer: -2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 - 58*l**2 - 2*l + 65. Let s be p(29). Which is bigger: s or 189\/26?\nAnswer: 189\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -11*x + 12*x - 15, -3 = 3*s + 3*x. Solve -z = -2*r - 5, 4*z - s*r + 3 = 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - j = 23, -5*i - j + 10 = -6*j. What is the smallest common multiple of 2\/i + (-1 - 708\/(-21)) and 4\/14 + 187\/7?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23220778*w**2*z**3 - 4395076*w**2*z**2 + 3*w*z + 2*z**2 - 3*z wrt z?\nAnswer: 139324668*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1204687\/378 - -3187. Let l = d - 1321\/756. Let a(h) = 19*h**2 - h - 1. Calculate the common denominator of l and a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141*p**3*r**5 + p**3*r**2*s**2 + 2*p**3*r*s**2 - 2*p**3*r + 9*p**2*s**2 + p*s**2 wrt r.\nAnswer: 2820*p**3*r**3 + 2*p**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -133\/4. Let c be (-4)\/10 + 11\/(-10). Let p = -6 + 5.9. What is the third smallest value in p, c, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**4*u)*u)**(-1\/14))**(3\/11))**(-3\/5) assuming u is positive.\nAnswer: u**(-18\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*sqrt(80)*2 + (sqrt(240) - (sqrt(240)*-2 + sqrt(240)))\/sqrt(12)).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 0.05, 2\/5, -39?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m + 0*m - 3*m)*(0*m + 3*m - 5*m) + 2*m**2 - 3*m**2 - 2*m**2)*(m**3 + 4*m**2 - 4*m**2).\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - -5.5. Let s = -9 + c. Let y = 0.18 + -0.08. Is s > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(-6)\/m)*m)*m)\/m)**(-13\/4) assuming m is positive.\nAnswer: m**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3\/(d\/(d\/(d\/d**(2\/3))*d)*d)*(d\/(d*d*d**(-4)*d)*d)\/(d*d\/d**(-1\/6)*d) assuming d is positive.\nAnswer: d**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/5 of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/12179, -0.5, 1\/7?\nAnswer: -2\/12179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 64607 and 172969164?\nAnswer: 172904557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7*q + 3*r + 53, r = -3*q + 29. Suppose 0 = 23*a - 28*a - q. Let y(w) = -4*w**2 - 2*w. Let p(k) = 3*k**2 + 3*k. Give a*p(b) - 3*y(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -0.457?\nAnswer: -0.457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2505*s**4 + 1966 wrt s?\nAnswer: -10020*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14810 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**3\/3 + 4*p. Let x(a) = -13*a**2 + 5*a - 5. Let f(r) = 6*r**2 - 2*r + 2. Let v(o) = -10*f(o) - 4*x(o). What is v(m(c))?\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 38.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106956 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (114 + 29*h - 114)*(5 - 2 - 1 + h)*(-2 + 2 - 3) as t*h + q*h**2 + g and give q.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(121) + sqrt(121) + (sqrt(121)*1 - sqrt(121)))*1*-4)\/((sqrt(132) - (sqrt(132) - 1*sqrt(132)*-4 - sqrt(132)))\/(sqrt(108)*5)).\nAnswer: -120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192*b**3*l**2 - 2*b**3 - 104*b**2*l - 1355*b**2 - 77 wrt l.\nAnswer: -384*b**3*l - 104*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (3*1*(sqrt(378) + sqrt(378)*1))\/(3*(sqrt(42) + sqrt(378) + sqrt(42))\/sqrt(7)))*-6)**2.\nAnswer: -1296*sqrt(7)\/5 + 17172\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((37\/222)\/(2\/1308) - 10)*3\/3.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.04495 and -207.01?\nAnswer: 207.05495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 6.1912532?\nAnswer: -18.5737596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 351 + -173?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 596.\nAnswer: 1\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k - 693160780 = 665537540 + 455051680. Round k to the nearest one million.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*v - 12035 = 318*v + 13165 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*d**6 + 16*d**4 - 125*d**2 wrt d?\nAnswer: -1920*d**3 + 384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -936, 1145, 3226, 5307?\nAnswer: 7388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -9*m + 5. Let a(s) = -4*s + 2. Suppose 6 - 20 = 2*h. Suppose -2*t = -2*k + 2*t - 14, -4*k - 5*t + 37 = 0. Calculate h*a(j) + k*w(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 286b (base 16) to base 10\nAnswer: 10347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 72*k**2 + 514*k + 69. Calculate u(-64).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1)*(-2)\/15. Put 0, 0.3, r in descending order.\nAnswer: 0.3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 200939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 93234 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 2. Let q be j(-3). Suppose -3 - q = -c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 172*u - 1. Give y(-1).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-598)\/6 - (-7 + -1 + 11). Let k = t - -103. What is the fourth biggest value in -3\/17, k, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6 = v + 30, 0 = 4*z - 4*v - 24. Suppose 5*u = z + 6. What is the third derivative of 5*w**2 + 4*w**3 - 5*w**3 + w**u - w**3 wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/3)\/((-3)\/9 - -1). Let i(h) = h**2. Let m(x) = 5*x**2 - 5*x - 8. Let b(t) = -4*i(t) + m(t). What is the units digit of b(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzhk when four letters picked without replacement from {h: 1, k: 3, a: 4, z: 3}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 102 = -476. Calculate the remainder when 371 is divided by i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**4 - 4030*b**3 + 799820*b**2 + 4945080*b = 0.\nAnswer: -6, 0, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2275)\/(-65))\/35*(-12)\/(-7)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 438*x**6 + 85*x**5 - 117*x**2 - 36063?\nAnswer: 52560*x**3 + 5100*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 13. Let y = u - -29. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j - 6 = 0. What is the remainder when 22 is divided by (1 - -11)*(3 - j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 7:45 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136437 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - 1) + (960 - 935)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 953469 or 953827?\nAnswer: 953469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (sqrt(152) - ((sqrt(152)*-2 - sqrt(152))*1 - sqrt(152))))\/sqrt(8))**2*6.\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.9038192409 and -4.3?\nAnswer: 7.6038192409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 2*h**6\/45 + h**4\/2 - 7*h**3\/3 + 8*h. Let j(q) be the second derivative of g(q). What is the first derivative of j(c) wrt c?\nAnswer: 32*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from yfnjyfyiyyyyiyiify.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 185102.8?\nAnswer: 12957.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4 - 254*f**3 + 87456*f**2 + 531486*f + 800577 = 0. Calculate f.\nAnswer: -447, -3, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1111969 and 164061.\nAnswer: 10007721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 2032973603546\nAnswer: 2032973603558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 2955818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) - (-1 - 295\/10). Is 31 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88257 and 1053?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*(-6 + 6). Let t = 3 + y. Find u such that 0*u + 0 + 3\/2*u**t - 1\/2*u**2 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.153 + -64651.10062.\nAnswer: -64651.25362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5234 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - 2*m**3 + 2*m - 2*m**3 + 0*m**3 + 0*m**3 + (0 + 2 - 1)*(-3*m**3 - 3*m**3 + 4*m**3) - 2*m**3 + 4 - 4 + 2*m - 2*m - m**3.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-3*(-10)\/(-30)*1). Which is the nearest to 0.1? (a) 1.7 (b) 0.04 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.5 in 0, -0.2, 1\/3, 156?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32634*k*t**2*z + 20*k*t**2 - 4*k*t*z - 2*k*t - 3*k*z + 2*k - 2*t**2*z - 47*t**2 + 2*t*z - 46749 wrt t?\nAnswer: 65268*k*z + 40*k - 4*z - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (131*o**3 + 294*o**3 - 107*o**3 + 2 - o)*(o - o - 2*o) as j*o**2 + x*o + k*o**4 + r + m*o**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, w: 2, q: 7}. Give prob of picking 3 q and 1 w.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 18924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 17*o + 0*o**2 + 15 - o**2 - 29. What are the prime factors of n(12)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/87 - -439\/348. Let y = -5.15 + 3.15. Which is the biggest value? (a) h (b) y (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2, -2*n - 30 = -5*h - 7*n. Let v be (-110)\/(-4) + (-1)\/(-2). Calculate the greatest common divisor of v and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -472, -496, -520, -544, -568, -592?\n\"Answer: -24*s - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhhyyyyyhlhyy. What is prob of sequence hy?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12308 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 - 101 + 17)*(-2*q + 3*q + q).\nAnswer: -344*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21077431, 21077416, 21077397, 21077374?\n\"Answer: -2*y**2 - 9*y + 21077442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 276 - 265. What is the remainder when 184 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(112)\/sqrt(32))\/(sqrt(42)\/sqrt(96)).\nAnswer: -4 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22656)\/(-20) - 3 - 3\/(-15). Suppose 0 = -17*y + 19*y - n. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -220.\nAnswer: -1\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939108687?\nAnswer: 3, 11, 19, 89, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1694*r + 1694*r + 26*r**2)*(8*r - 4*r + 0*r) + 2*r**3 + r - r.\nAnswer: 106*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 816793 (base 12) to base 15\nAnswer: 29e589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11237 = -24*r - 11117 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:07 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 17*x**2 + 15*x - 13. Suppose -73 = 3*l - 250. Suppose a - l + 75 = 0. Let c be g(a). Solve c*n + u = n - 3, -3*u = -5*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-42)\/24)\/((-2)\/8) and 1 - (-9 - (2 - 4))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1086717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 19. What is the units digit of ((-50)\/(-35))\/(u\/14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -12. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/36 and -5\/19127304.\nAnswer: 19127304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13226 divided by 7.\nAnswer: -13226\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u + 0 + 0)*(0*u - 3*u + u)*(-u + u - 2*u).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 406\/19 (b) -5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {a: 1, i: 1, e: 1, x: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -190*v + 193*v - 22, 4*r = -4*v + 36 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 - 90. What is the fourth smallest value in -0.1, -2\/15, w, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b - 25. Let t(i) = 3*i. Let d be t(-3). Let j be o(d). Solve -j*k + k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107.99803 + -108. Round j to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -5. Suppose -y = -q - q + 1, -4*q = -5*y + s. Factor 4*w**5 + 22*w**3 - 9*w**4 - 28*w**y - 7*w**5.\nAnswer: -3*w**3*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0148*-0.13\nAnswer: -0.001924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-930960)\/(-14) + (-1 - ((-1245)\/105 + 10))?\nAnswer: 2, 3, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 22. Let j = 0 + -1. Which is the nearest to j? (a) 0.3 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 2*n**2 - 2*n + 3. Let s be g(5). Suppose 3*c - 55 = -2*c. Suppose s = 4*m + u, -c = -4*u + 5. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298804055 to the power of 1\/2, to the nearest integer?\nAnswer: 36039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*-3*(-2 + 4). Let c = 901\/15 - p. Sort 4, -3\/2, c in increasing order.\nAnswer: -3\/2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142*x + 9*x + 61*x)*(x**3 + 0*x**3 + 2*x**3)*(1 - 1 + 1)*(-4 + 1 + 1).\nAnswer: 432*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-3\/2))*c)**(-3\/23)\/(((c*c\/(c\/(c*c**11*c*c)))\/c)\/((c*c*c*c\/((c*c\/(c\/(c\/((c*c**(-8))\/c))))\/c))\/c)) assuming c is positive.\nAnswer: c**(-917\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39230 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -5, 5252, -2 in descending order.\nAnswer: 5252, 5, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2392 and 185081?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.83 * -0.4.\nAnswer: 0.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.5? (a) 418\/7 (b) -4\/3 (c) 0.02 (d) 1\/4 (e) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(-4 + (sqrt(108) - sqrt(108)*3) + sqrt(108)) + (0 + -1 + sqrt(108) - -2*-5*sqrt(108)))**2.\nAnswer: -828*sqrt(3) + 1501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -461 divided by 3498?\nAnswer: -461\/3498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**5 - 3*u**2 + 0*u**2 + 21*u**5 + (-1 + 2 + 1)*(4*u**5 - 4*u**5 + u**5).\nAnswer: 17*u**5 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4708)\/(-8560)*2\/11 - (182\/60)\/7. Let x be 58\/(-15) - -2 - -2. Which is the third smallest value? (a) -2 (b) 0.1 (c) x (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -287271 divided by 177?\nAnswer: -1623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5923\/666 - -105\/37. Let w be (17\/(-17))\/(1\/94). Calculate the common denominator of d and w\/14 + (-18)\/12.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1216) + 3) - sqrt(1216))**2 + sqrt(1216).\nAnswer: 1448*sqrt(19) + 44001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 4. Let w be y(-4). Let n(a) be the first derivative of a**2\/2 + 11*a - 2. Is n(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*f = -9*f + 61 + 109 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*d = -0*d - 4, 3*d - 6 = 0. Suppose -5*w = -237 - 28. What is the remainder when w is divided by (60\/18 - o)\/((-2)\/45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 4, q: 7, h: 3, c: 2, z: 1}. What is prob of sequence qc?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533417331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24358 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 + 6*q**4 - 2*q**4 - 2 + 3 wrt q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6811 + -272399\/40. What is the common denominator of t and -11\/2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - m)*(-3 + 3 - 7*m**2)*(-5*m + 17*m + 20*m).\nAnswer: -448*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -566 - 8?\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 80 = -37*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*b - 27, 39*s - 35*s + 28 = -4*b. List the prime factors of 314\/1 - (14\/7 + s).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1226 is divided by 87.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2697*o - 35790 = 2702*o, 5*f = -o + 35772. List the prime factors of f.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2937322, 5874532, 8811742, 11748952, 14686162, 17623372?\nAnswer: 20560582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 458*g - 25 = 460*g, 40 = -4*o - 2*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 87 (b) 38 (c) -0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 292608.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 13 = 5*v - 7, -4*c = -12. Let k(g) = g**3 - 8*g**2 + 7*g - 3. Let u be k(v). Sort 5, 1, u in ascending order.\nAnswer: u, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 17*p = 7290. Calculate the remainder when p is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9858 - 9856. Suppose -5*v - 20 = -5, -3*v = 4*y - 3. What is the third derivative of -11*z**y - 8*z**3 + j*z**2 + z**2 wrt z?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/(-2 + 1). Let b = 0 - 0.5. Let a = -0.9 - b. Put v, a, 0 in increasing order.\nAnswer: a, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -5*y - 64. Suppose y + 18 = -5*m. What is the remainder when 2*(-2 - 305\/m) is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 1)\/((-14183)\/(-2182)). Factor 0 + 8\/13*j**2 + z*j**3 + 8\/13*j.\nAnswer: 2*j*(j + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*s + 5*u, s = -s - 2*u + 16. Suppose 5 + s = p. Solve 0 = 5*g + v - p, 0*g + v + 8 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*q + 670, 2*q - 6*q = 4*u - 512. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16bc1 - 0?\nAnswer: -16bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w - 4*s + 14 = 0, 2*s = 6. Let r be (-270)\/((-3)\/(-1)) + 3 + w. Let f be 4\/(-22) + 35199984\/r. What is f rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354474 and 20586.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n**5 - 3639*n**4 + 28012*n**3 + 75756*n**2 + 10240*n = 0. What is n?\nAnswer: -2, -1\/7, 0, 10, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + -1 + 22899 + -22922.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - f - f**2 - 2 + 0 - 2*f**2. Let u be k(-2). Let d be (2 - ((-6 - -1) + 13)) + 4. Sort 0, 6, u, d in decreasing order.\nAnswer: 6, 0, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/9 + 17188*a**2\/9 + 17152*a\/3 - 34352.\nAnswer: 4*(a - 3)*(a + 6)*(a + 4294)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39*3*((-20)\/45)\/2.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5))**(-14\/3))**15 assuming l is positive.\nAnswer: l**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -49, -62, -87, -130, -197, -294, -427, -602?\n\"Answer: -j**3 - 6*j - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - 124\/20)*(-86 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8954 and 24420?\nAnswer: 268620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 0*t**3 + 0 - 1\/60*t**5 + 0*t - 1\/8*t**4 - 8*t**2. What is the second derivative of v(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 2013.83 in decreasing order.\nAnswer: 2013.83, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 31*a. Let p = 1 - 2. Let q = p + 2. Is j(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*t**4 + 357*t**3 + 3*t - 3666.\nAnswer: 12*t**3 + 1071*t**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5566828 and 7636?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**5\/20 - i**4\/12 + 2*i**3\/3 - 3*i**2 + 2552*i. What is q(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 2178225?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1957 and -10.97174.\nAnswer: 1946.02826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 1003*u + 32 + 7*u**2 - 37*u**2 - 1003*u as j*u + n + c*u**2 and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 b when four letters picked without replacement from {t: 1, b: 8, p: 11}?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8505382?\nAnswer: 2, 67, 63473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 504\/16 - 10\/4. Let n = d + 113. What are the prime factors of n?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -981 - 1173 = -718*z. Solve -z*p = 4*c - 11, -9*c = -5*c - 5*p + 29 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b + 2*r + 28, -r + 64 = 5*b. Determine a so that 16*a + 9 + 16*a**2 + b*a - 4*a = 0.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 40*a - 1. Suppose 6*r = 7 + 29. Is s(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -3 (c) -5660\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/68125 - -272473\/613125. Let r = 0.4 - 0.2. Sort x, r, 17 in descending order.\nAnswer: 17, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -150 + 29 + -15\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -233 + 1149. Let z = p - 599. What is the smallest common multiple of 11 and z?\nAnswer: 3487","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjqqj. Give prob of picking 1 j and 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -308 + 311.03. Is g less than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60726 < -60657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 18*w**2 + 32*w + 3. Let d be v(-16). Suppose d*g - 9 = 3. Solve 0*q = g*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -202 + 1006\/5. Let h = -142\/203 - -12\/29. Sort s, h, 2\/9 in ascending order.\nAnswer: s, h, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 11 - (-70 - -50)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/(((-8)\/3)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 8:00 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 127*w**3 + 69*w**2 - 9 + 2*w - 2 + 11. Let a(q) = 381*q**3 + 208*q**2 + 7*q. Let n(j) = 2*a(j) - 7*s(j). Find the third derivative of n(i) wrt i.\nAnswer: -762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64239952 to the power of 1\/3, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -70\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10183785.\nAnswer: 3, 5, 29, 41, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -28, 2\/3, -3\/4, -0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 255\/4. Which is the third biggest value? (a) 5 (b) q (c) -2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/23)*(f\/(f\/f**9))\/f assuming f is positive.\nAnswer: f**(185\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 57. Let f be ((-1)\/2)\/((-2)\/p). Let o = -7 - -11. Solve f = o*g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 12, b: 1}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 5*w - 89. List the prime factors of ((-1)\/(-2))\/(w\/72072).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4 - 102*k**3 + 430*k**2 - 546*k + 220 = 0. Calculate k.\nAnswer: -55, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffte when four letters picked without replacement from etff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 4:23 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 5*y - 2. Let h(v) = 2*v - 8*v + v**2 + v**2 - 3. Suppose 4*o + 0*n + 8 = -2*n, -5*o = 3*n + 10. What is o*h(t) + 3*z(t)?\nAnswer: -t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + h + 9, 5*l + 2*h - 16 = -7. Suppose -14 + 6 = -z + l*t, 5*z - 23 = -2*t. Let w(x) = 13*x**2 - 4*x - 7. Is w(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-11\/2)*y**(5\/3) assuming y is positive.\nAnswer: y**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y - 2 + 1\/3*y**3 - 2*y**2. Determine b(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44664 or 44663?\nAnswer: 44663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*g**4 + 5*g**3 + 7*g**3 - 10*g**3 - 2*g**2 as c*g**4 + u + w*g + h*g**2 + d*g**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 6*r + 10. Let s be j(-7). Let m = -1.8 - -0.8. Let x = m + 0.7. Which is the smallest value? (a) x (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 68*a**2 - 17*a - 33. What is the hundreds digit of f(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 92\/(-14)) + (-200)\/350. What is the smallest value in 2\/3, -0.04, o, 5, -3\/19?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -3*h**2\/2 + 7*h - 1. Suppose 2*z - 12 = 4*z. What is the remainder when t(z) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 6. Let z(d) = -d + 1. Suppose -6*k = 4 - 10. Calculate k*i(l) - 6*z(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11624603 is divided by 247?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 31*s**2 + 32*s + 15. Let x be k(-32). Let c(v) = -x*v + 0*v - 4*v. Let r(i) = -3*i. Give c(r(b)).\nAnswer: 57*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2935 - 2932.6. What is the fourth biggest value in 0.3, m, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*65*2\/546?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-560)*16)\/(16\/80).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 176 - 171. Let h = 82 + -74. Suppose 99 = h*g - 61. What is the highest common factor of g and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001626991 rounded to six decimal places?\nAnswer: 0.001627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = z, 4*o - 5*o = -z + 2. Let x be (-2)\/(-8) + (-7)\/(-4). Suppose -8 = -x*p - 5*w, p = -0*w - w + z. Solve s = -s + p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k - 24. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.173 - 1.03. What is v rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 149, 264, 379, 494?\n\"Answer: 115*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**2 - 3*p + 3. Let k be u(1). Let r(a) = -a**3 - 7*a**2 - 7*a - 6. Let j be r(k). Let b = -5 + 12. What is the nearest to j in -2, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.05 + -0.05. Let a = -23 + 14. Let h = 9.1 + a. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(255)\/sqrt(45) - sqrt(51))\/(sqrt(1200) - sqrt(3)).\nAnswer: -2*sqrt(17)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*9\/(45\/(-5))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/(-70)*(-1737)\/540 - 2 and 61\/2625.\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355447?\nAnswer: 61, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35389 - 16763. Is z a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2291, -2292, -2293?\nAnswer: -2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 10. Let g be k(9). Let t = -10 - g. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-217 - 21*r + 217)*(-r**3 + 4*r**3 - 4*r**3).\nAnswer: 21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 10:01 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/5, -1, -37.161, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/(h\/h**3*h)*(h*h**1)**43)\/((h\/h**(-4))\/h**(1\/4)*(h\/h**(2\/9))\/(h*h*h**(2\/5))) assuming h is positive.\nAnswer: h**(15097\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a hour?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -2*f - 53. Let h = -12 - f. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**6\/300 + i**5\/150 + 5*i**2\/2 + 4*i. Let n(g) be the first derivative of c(g). Solve n(t) = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvlvnlll. Give prob of picking 4 l.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8*l**2 - 459*l. Let n(z) = 5*z + 4. Determine n(r(s)).\nAnswer: -40*s**2 - 2295*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1703 and 236602506?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15640 by 1564.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**(2\/33)*(s*s\/(s**1\/s))\/s**(-2\/21) assuming s is positive.\nAnswer: s**(491\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 482 + 47. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o = -12*o + 135 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*v - 102 = 0, 5*v = 6*v + 2. Solve 5*h = 5*x - 5, 18*h - 20*h + n = 3*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*l + 76*l + 460 = 0. Let x = -168 - l. Is x > -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7477 and 113.55.\nAnswer: 7590.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 3 + 17 - 5 - 1 - 9. Let s(y) = -y. Calculate -5*p(d) + 4*s(d).\nAnswer: d + 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 228*i - 89*i - 110*i = -203 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61371675 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 113789975 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19\/55581 - -1152671\/692872746. Find the common denominator of -49\/10 and g.\nAnswer: 62330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442.703 years in decades?\nAnswer: 44.2703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u + n - 5, -5*u - 29 = -6*n. Let s(p) = -5*p + 2. Let k(j) = j. Determine u*s(l) - 6*k(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -56, 0, 5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + 139. Let d = -194.000000502 + v. What is d rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexxdxdexeexdexdxde. Give prob of sequence dxd.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -4*f**7\/21 - 37*f**6\/15 - 69*f**5\/10 - 43*f**4\/6 - 7*f**3\/3 - 9*f - 81. Determine a so that x(a) = 0.\nAnswer: -7, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, a: 3, q: 5}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 374279993\/(-1) - 23\/((-598)\/(-182)). What is j rounded to the nearest 1000000?\nAnswer: -374000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 2*r**2 + r**2)*(-23*r - 49*r + 3 - 4).\nAnswer: -144*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*3 - sqrt(24)\/(sqrt(8)*2))**2.\nAnswer: 363\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2 - 11*g - 8. Suppose -k - k = 16. Suppose -3*r = -8 + 2. Let m(h) = -3 - r - 12*h + 5*h - 3*h**2. Give k*m(w) + 5*b(w).\nAnswer: -w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -117*o + 1652. Calculate d(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2884683, 5769370, 8654057, 11538744?\n\"Answer: 2884687*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 6:48 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -75*p**4\/2 - p**3\/3 - 190*p**2. Let i(d) = -2*d. Determine n(i(g)).\nAnswer: 1800*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000011 - 1001111101?\nAnswer: -100001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*i**5 + 38 - 38 + 14*i**2 wrt i?\nAnswer: -600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*x + 2)*(-2 + 3*x**4 + 7*x**4 - 121*x**2 + 122*x**2).\nAnswer: -20*x**5 - 2*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-53 - -19 - -39)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1967838, 3935675, 5903510, 7871343, 9839174?\nAnswer: 11807003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*2*-5)\/(sqrt(972) - sqrt(972)*-2 - sqrt(972)).\nAnswer: -5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -114*a**2 + 1 + 2*a**3 + 46*a**2 + 47*a**2. Is s(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 485 and 167845?\nAnswer: 16280965","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 1, n: 2, r: 1, o: 5}. What is prob of sequence pn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 341.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00043259525 rounded to 7 decimal places?\nAnswer: 0.0004326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76350, -76336, -76296, -76218, -76090, -75900, -75636?\nAnswer: -75286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 2, 0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000100000000000010 (base 2) in base 6?\nAnswer: 5545254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + c + 8. Let y be m(4). Let b(f) = 15*f**3 + 7*f - 7. Let h(u) = -8*u**3 - 4*u + 4. Calculate y*b(t) - 7*h(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55a (base 13) to base 7.\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7439490, -29757944, -66955368, -119031762, -185987126, -267821460, -364534764?\n\"Answer: -7439485*y**2 + y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -858 (base 10) to base 11.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -254 + 383. What is the remainder when j is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 4*c + 2*u, 2*c - 32 - 126 = 2*u. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4459 a factor of 2285656646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -621 divided by 207?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634*g - 16992 = -74*g for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032458239 to 5 dps.\nAnswer: -0.03246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g - 5704*g**2 + 5 + 5456*g**2 - 5 - 11*g to the form h + j*g + m*g**2 and give m.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8896 times -1382?\nAnswer: -1229.4272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**4 + 1795*x**3 - 163760*x**2 + 475260*x = 0. What is x?\nAnswer: 0, 3, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5139066 rounded to 3 dps?\nAnswer: -0.514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15265.5257 and -210.\nAnswer: 15055.5257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2754)\/3780 + (-3)\/(-10).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(56\/(-42)))\/((-2)\/(-8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 0.15, 0.4, 0.1 in descending order.\nAnswer: 6\/11, 0.4, 0.15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-6 + (-9 + 9 - -15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 510678*s + 510673*s = 55, 2*s + 14 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8526 is divided by 607.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + -1. Let d = -7 - a. Let w = 0.1 + 0.1. What is the third biggest value in -0.5, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -614780, -1229490, -1844210, -2458946, -3073704, -3688490, -4303310, -4918170?\n\"Answer: -f**3 + f**2 - 614706*f - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*g - 25*g + 1 - 24*g**2 + 48*g in the form z + x*g + h*g**2 and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/3, 25, -739\/3, -1.\nAnswer: -739\/3, -1, -2\/3, 2\/3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1306 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 12 - 188 = 0. Solve -4*o = -0*o + d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 44*h**3 + 26148*h**2 + 1196968*h - 3459840 = 0.\nAnswer: -544, -53, 30\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 63\/23 (b) 126 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3410 - -51152\/15. What is the fourth smallest value in q, 1\/3, 5, -40\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.89 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minus -0.0339?\nAnswer: 54.0339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 11*h + 12*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 + 602*h\/5 - 3684\/5.\nAnswer: 2*(h - 6)*(h + 307)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 9 + 7. Calculate the common denominator of -131*q\/(-80) + 3 and 67\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**4\/4 - 86*v**3 + 40423*v**2\/4 - 432264*v + 3132864 = 0.\nAnswer: 9, 111, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = 2. Suppose 0 = -4*w + v + 15. Suppose d + 2*q = 14, -4*d + 0*q = 2*q - 32. Is d equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from uvuvuuururumuvvvvumu?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2581627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3*w = -5*p + 89, 0 = -3*w - 2*p - 82. Let m be 212793\/w - 3\/12. What is m rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 + 6*i - 15. Let k be u(6). Let p = 171 + k. Suppose -10*c = -7*c - p. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-2) - 0)*98\/(-4). Let m = -43 - c. Let h(k) = -11*k**2 - 5*k + 6. Let y(q) = 10*q**2 + 4*q - 5. Let t(r) = m*y(r) + 5*h(r). Calculate t(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 - 4*t. Let l(v) = 7*v**2 + 1034*v - 2068*v + 1034*v. Give l(h(d)).\nAnswer: 112*d**4 - 224*d**3 + 112*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.393 + 1.393. Let r = 1.5 + -0.5. Which is the nearest to r? (a) t (b) -4\/5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*q = -45, 15 = -k - 3*q + 8*q. Let d be k\/(-10) - (4\/(-6) - 0). Is -8 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:02 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -41148 + 9933. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/140 in 59, -4\/9, 11\/5, -5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 = -39*y - 102 - 78 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-84)*(18\/(-8))\/3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-7))\/2 - (-1035)\/(-460)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154319\/120 + 1286. Let w(i) be the third derivative of 1\/12*i**4 + u*i**6 + 0 + 1\/12*i**5 + 0*i - 2*i**2 - 5\/6*i**3. Determine w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {a: 2, d: 9, y: 4, m: 1, n: 3}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 14517\/(-24)) + 1\/8. Let j = 4229\/7 - t. Determine n, given that 8\/7*n - j - 2\/7*n**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 77481164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 5*n**2 + n - 3. Let d be m(5). Let h(b) = 2*b**3 - 3*b**3 - 2*b + d*b**2 + 2 + 2*b**3. What is the tens digit of h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5 - (-1162)\/5. What is f rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -509 + 251. Let s = -255 - t. Let w = 2 + 3. Solve 0*v = -4*v - 4, f + s*v = -w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2747 is divided by 809?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*c + 4 = 0, 5*f - 3 = 2*c + 17. Solve -2*s - f*s = -2*a + 8, -3*s = 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 10a352?\nAnswer: -10a34c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 64770, 258423, 580964, 1032393?\n\"Answer: 64444*c**2 + 321*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2948769 grams to kilograms.\nAnswer: 0.0002948769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 11*h + 5410 = 0. Let u = 981 - h. Suppose -u = -6*w + 298. Calculate the remainder when w is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 67*w**4 + 2*w**3\/3 + 6*w**2 - 13*w + 4231. What is the second derivative of b(f) wrt f?\nAnswer: 1608*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, -0.1, 5\/18, -0.3, 3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o. Let y be 11 - (0 - o)\/2. Let n = y - 5. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) + sqrt(784)*-3 + sqrt(49))\/(-4*(sqrt(7) + (sqrt(252) - sqrt(7)))).\nAnswer: 7*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k + 4*a = -6, 5*a + 11 = 3*k. Suppose -65 + 27 = -k*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {x: 2, t: 3, f: 15}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1170, 4741, 10692, 19023, 29734, 42825?\n\"Answer: 1190*k**2 + k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 + 120. What is the least common multiple of 79 and o?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -1\/2, 119\/4, -0.3, -4 in decreasing order.\nAnswer: 119\/4, 0.09, -0.3, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 74. Calculate the greatest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.04, -187.7, -8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.95 - 0.05. Let n = 1.6 + z. Let l be 1\/(-1) - 25\/(-35). Sort 3, l, n in decreasing order.\nAnswer: 3, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -2)*(-2 + -1). Suppose 0 = -n + 3 + r. What is the smallest common multiple of n and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 2. Let s be b(-6). Let g = s - -17. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-1566) + 1656\/7656?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.1, 250\/9, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836140604?\nAnswer: 2, 13, 16079627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2. Suppose 5*s + 3*u = 195, -2*u + u - 67 = -2*s. Let o(y) = 19*y + s - 36. Determine o(i(b)).\nAnswer: -38*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6297, 12652, 19035, 25452, 31909, 38412?\n\"Answer: a**3 + 8*a**2 + 6324*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-238)\/357)\/((-31)\/3)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/4, -2\/33, 33 in decreasing order.\nAnswer: 33, 1\/4, -2\/33, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 7*i**2 - 12*i + 34. Let y be u(4). Suppose 272 = 5*q - 238. Suppose 0 = 5*p - q + 12. What is the greatest common divisor of p and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/3 + 4 + -30. Let m = -17 - y. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/4)\/1 + 26\/12. Let m = 11\/4 - r. What is the third smallest value in m, 0, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 61 = 4*k - 21, -w + 3*k = 0. Suppose -3*d = -3*l + w, 0 = 2*l + d - 0*d + 5. Are l and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2*n - 4, -5*n - 2 = -4*f + 10. Let z be (1\/(-3) + 1)*(f + 5). Let j(d) = -3*d**z + 0*d**2 + 7*d + 0*d**2 - 1 + 4*d**2. Determine j(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6730696 * 0.08.\nAnswer: -0.133845568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 5789184*u - 5789188.\nAnswer: 4*(u - 1)*(u + 1447297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20982, -41710, -62174, -82380, -102334, -122042, -141510, -160744?\nAnswer: -179750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.66 + -0.16. Let z = -31871030.4999953 - -31871021. Let x = k + z. Round x to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/174 and 125\/1118936.\nAnswer: 3356808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53, 104, 155, 206, 257, 308?\n\"Answer: 51*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 (base 13) in base 3?\nAnswer: 21222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3 - 2 - 102*m**2 + 2*m + 89*m**2. Let w be p(1). Let c(h) = -57*h + 3. Is c(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001362 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 403426?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 820 by 5.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 0, 1, -4 in decreasing order.\nAnswer: 2, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44085514 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1310972 divided by -52.\nAnswer: 25211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 23. Let h be (7\/21)\/(r\/3). Which is smaller: 1\/18 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 6) + (-30 - -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2192\/73 - -30. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163421 (base 7) to base 4\nAnswer: 13323011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2 + g - 4. Let l be f(5). Calculate the greatest common divisor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 14846, -1, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5250 divided by 35.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - 0.37. Let s = o - -0.1. What is the third smallest value in s, 4, -0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2233.92 + -2179. Let p = 0.2 + -54.2. Let r = p + h. What is r rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 713 and 4334885.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -13\/5 (c) -0.4 (d) 0.17 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465372669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -406 - -399. Which is smaller: -16 or s?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 8*l + 3. Let u be v(-5). Let f be 3\/((-3)\/u) + 2. Let p = 16 + f. Calculate the smallest common multiple of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1392024*h**2 - 3145024 wrt h?\nAnswer: 2784048*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (-2 + 4*(sqrt(176) - (-5 + (sqrt(176) - (sqrt(176) + -2)))) + 0 + 1)**2.\nAnswer: 352*sqrt(11) + 2937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -149\/3? (a) -1\/3 (b) 0.3 (c) -5 (d) 1\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1058, 1067, 1080, 1097, 1118, 1143?\nAnswer: 1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 23 = 4*l - 13, 0 = -2*f + l + 24. Let o = -960 - -971. Calculate the greatest common factor of f and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29069 or 29080?\nAnswer: 29080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -52*b - 1\/30*b**6 - 2 + 9\/4*b**4 + 29\/6*b**3 + 7\/20*b**5 + 5*b**2. Factor c(j).\nAnswer: -(j - 10)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464482203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7982696*c**2 + 1268*c - 416 wrt c.\nAnswer: 15965392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2061189 or 2061191?\nAnswer: 2061191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, a: 3, o: 1, s: 2, d: 2, m: 1}. Give prob of sequence ar.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -662058\nAnswer: -1\/220686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 3. Let v be m(8). Let h(a) = -v*a + 32*a - 3 + 3*a**3 - 7*a**2 - 2*a**3. Suppose 3*g + 3*b + 0 = 33, 15 = 3*b. What is h(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - (sqrt(85) + (sqrt(85)*2 - sqrt(85))*2)) + -6*-3*sqrt(85))\/((sqrt(60)*-2*-1)\/(1*sqrt(768))) + -2)**2.\nAnswer: -256*sqrt(17) + 69636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 36 = -2281*v + 2285*v, 3*a - 5*v = -39 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = -5*t, -3*l = 5*t + 2*l. Let z(q) = q - 4. Let r(w) = 4. What is t*r(k) - 3*z(k)?\nAnswer: -3*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44658?\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k - k + 4*k)*(0 + 1 + 1)*(-27*k + 6*k - 11*k)*(-1 - 2 + 1) in the form m*k**2 + a*k + j and give m.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2652981 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 17*y**2 + 6*y**2 - 3 to the form s*y + w*y**2 + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -405, 7, -15 in descending order.\nAnswer: 7, 3, 1, -15, -405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -280, -2, -5, -4.\nAnswer: -280, -5, -4, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/7)*w*w*((w*w*w**(-3\/11))\/w)\/w*w**(6\/7)\/(w**11\/w))**(-12) assuming w is positive.\nAnswer: w**(6192\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -3*r + x, 4*r + 18520*x - 98 = 9*r + 18519*x for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -372*y + 1812. What are the prime factors of a(-17)?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186850 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 + 8*k\/5 + 6\/5.\nAnswer: 2*(k + 1)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-15)*(-15)\/3. Calculate the smallest common multiple of 2 and 16*(y\/(-6) - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/18 + (-104)\/468)\/(-1). Let f(j) = -j**2 + 2*j + 4. Let w be f(4). Let k be (-22)\/4 + (-2)\/w. What is the closest to 0.1 in a, 2, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 3*l)*(-280 + l + 280) as i*l**2 + a + z*l and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1064 and 264632?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 11. What is the smallest value in s, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-16)*v*v\/(v\/((v*v**(-8\/3)*v)\/v))*v)**(-35)*v**(-1\/6)\/v*v*v\/v**9*(v**(-4)*v)\/(v*v*v\/v**(-7)) assuming v is positive.\nAnswer: v**(3163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -60*l**3 - 3*l**2 - 17*l. Let y(q) = -14*q**3 - 6*q - 11*q**3 - q**2 + 5*q**3 + 0*q**3. Determine 6*w(f) - 17*y(f).\nAnswer: -20*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 445039, 445065, 445139, 445285, 445527?\nAnswer: 445889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4114*h - 12445*h - 10544*h + 2615*h - 3 - 23725*h.\nAnswer: -39985*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19500111 and -6596823.\nAnswer: -26096934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*i - 150, -i = -5*i - 16. Let k = -21 - z. Suppose -4*s + 12 = -2*j - 2*j, -k*j - 5 = 0. Solve l - s = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 6 - 3*z - 5 + 4*z.\nAnswer: z + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(-z + z - 2*z**2) + (3 - 3 + 2*z**2)*(0 - 5 + 1).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 119847 (base 10) to base 16\nAnswer: 1d427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**4\/3 + 2812*p**3\/3 + 48638*p**2 - 457396*p\/3 + 308672\/3 = 0.\nAnswer: -53, 1, 2, 1456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15314143 (base 6) to base 2\nAnswer: 10000011100010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4527973 or -4527971?\nAnswer: -4527973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1\/5 (c) 0 (d) 20 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 52, -0.7, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31*p*r**2 - 46*p*r - 142826*p + r**3 + 2*r wrt r?\nAnswer: -62*p*r - 46*p + 3*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11666036 is divided by 474.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2988 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -681, -2747, -6189, -11007, -17201?\n\"Answer: -688*h**2 - 2*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2610?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*b + 5*y + 22, 5*b - 30 = 3*y. Suppose p + 4 = 0, j - 7 - 44 = b*p. Suppose 1 = 5*s - j. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b + 1712 = 0. What is the remainder when b is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6869*y**3 - 77*y**4 - 6869*y**3 + (0*y**2 - 2*y**2 + 3*y**2)*(2*y**2 - 6*y**2 + 2*y**2) as a*y + c + n*y**2 + p*y**3 + d*y**4 and give d.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w + 3 = 5*i, -w + 3 = 3*i. Let v(s) = s**2 + 2*s + 3. Let x be v(w). What is the highest common divisor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 87. Solve -y - y = -z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -13*u**3\/6 + u**2\/2 + 2*u. Let q be g(1). What is the units digit of q\/(-10) + (-1)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*t + 4. What is the units digit of t\/35 - 18\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1789\/1687 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 436219 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*u - 2\/5*u**2 + 4\/5 = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11521, 6, -64 in descending order.\nAnswer: 6, -64, -11521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*d**2 + 5*d**2 + 53*d**3 + 43*d**2 + 44*d**2 + 8 in the form v*d**3 + c*d + t*d**2 + j and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(84)\/(sqrt(108)\/sqrt(9)))**2 - -6*((sqrt(28) + 1 + sqrt(28) + -2)**2 - sqrt(28) - sqrt(28))) + 5.\nAnswer: -1365 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1111, 1010, 909?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w - 5*j - 5 = 28*w, 0 = -3*w - j + 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 9) in base 7?\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 745 and 56575.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39164645.\nAnswer: 5, 13, 29, 79, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5184 - -5224. What is the remainder when 3479 is divided by l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -749.\nAnswer: -374.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.197 to zero decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9340\/(-260) + (-1)\/13. Let z = 8143\/2990 + -7\/299. Find the common denominator of ((-333)\/(-168))\/(((-2565)\/r)\/19) and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/5*1440\/(-192). Solve x = -2*x - d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(112) - 4*sqrt(112)*-1)\/sqrt(7))\/(-3*(sqrt(80)\/(sqrt(10)\/sqrt(5) + sqrt(2) - sqrt(2)))\/sqrt(5)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6050991799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*k - 141*k = -45. Solve -k = 11*u - 6*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6140702?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*16\/(-36))\/((-4)\/24*44).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 101\/9*j + 2\/9*j**2 - 52\/3 = 0.\nAnswer: -52, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 85. Let y = u + -34. Let r = y + -12. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -14513?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 35*h + 16 - 69*h + 33*h. Let n be o(15). Which is the closest to n? (a) -2\/7 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -11\/7 (c) -1\/149 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*h = 142*h - 240. Let t(v) = -v**2 + v - 1. Let q be t(0). Sort 3, h, q in decreasing order.\nAnswer: h, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -31 + -14 + 12 + 11\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r, 5*r - 4 = -2*p + p. Solve -2*s - 2 = 0, -p*b - 2*s = -4*s + 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*sqrt(2) + 5 + ((sqrt(242)*-1 - sqrt(242)) + sqrt(242))**2*6 + -3)*2.\nAnswer: -8*sqrt(2) + 2906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 17 = -j, 2*w - 4*j - 10 = 6. Let a = 44\/3 - w. Suppose 0*d**2 + 0*d**3 + a*d**5 + 0 + 0*d + 2\/3*d**4 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - a = -f + 8*a + 34, 0 = 8*f + a - 3*a - 242 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417528 smaller than 2417528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141 - -5. Let q = 136.4 + v. What is the third biggest value in -5, q, 3\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4093093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1041 - 4*m**3 - 4*m**2 - 3*m**3 + 3*m**2.\nAnswer: -7*m**3 - m**2 - 1041","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 22. Let f(a) = -a + 19. Let c be f(b). Suppose -5*p = -w + 146, 3*p - 410 = -c*w + 4*p. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = 2. Suppose -86 = -a*j - 4*p, 5*j - 2*p = 2*p + 186. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/2)\/((1302\/(-8))\/(-31)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100101001 - -1?\nAnswer: -11100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*b + 3 = 0, -3*g + 3 = -2*g - 3*b. Suppose -4*s = -1 - g. Suppose 0 = 2*t + s - 5. Solve -6 = 3*c - 5*z - 18, 0 = -t*c - z - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 - 4*z**4 + 2*z**4 - 2*z**4 + 1 - 1 + (0*z**2 + 2*z**2 - 4*z**2)*(-z**2 + 2*z**2 + z**2) + 0 + 0 + 2*z**4 + (-z + z**3 + z)*(7*z - 2*z - 2*z).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 11*p + 2. Let x(g) = 2946*g**2 - 56*g - 890. Let y(h) = -5*i(h) + x(h). Find the second derivative of y(w) wrt w.\nAnswer: 5882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98266 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 + -76. Suppose -4*y = -6 - b. Let t = y - 5. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 24 = 3*j, -2*m - 2*m = 13*m - 2*m - 3*j - 57 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 + 3 + (-1256892)\/(-54) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-23))\/(q\/(q**21*q)))\/(q\/(q**(-2\/11)\/q))**50 assuming q is positive.\nAnswer: q**(-1211\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48760546 and 0.3?\nAnswer: 14628163.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15104, -15119, -15122, -15107, -15068?\n\"Answer: g**3 - 22*g - 15083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216.10913 - -216.1. What is m rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 584, 507, 420, 329, 240, 159, 92?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9110 + -9109. Which is the nearest to 222? (a) k (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 48*o - 69. Suppose -12*j + 299 - 935 = 0. What is the hundreds digit of s(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 498 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 13*n**2 + 1. Let u(o) = 2*o - 1 + o + 5. Let f be u(-2). What is the units digit of t(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocgckkgmcgci. Give prob of sequence okg.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/13, 3, 1549, -18, 2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 13*d**2 - 9*d + 41. Let y = -37 + 51. What are the prime factors of h(y)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 10*u**2 + u - 4. Let p be m(-10). Let d be -3 - -2 - p\/2. Solve -5*q - d = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-3)*((-126)\/(-132))\/(-7). Let k = 0 + -1. What is the closest to 1\/4 in a, k, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q + 0*q)*(-2 + 8 - 3) + (2*q + q - 4*q)*(1 + 3 - 5).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-3) - ((-4)\/(-3))\/(-4). Suppose m - a = -2*m, -16 = -5*z - 2*m. Solve -z*u + 5*x = 12, 0 = -3*u + x - 0*x + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -59. Let x be a\/(-24) + -2 + 16990\/7544. Let t = -14161\/7544 + x. Find the common denominator of -5\/2 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 4. Let l = -19 - -19. Suppose -2*d + 0*d + 6 = l. What is c(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 12 = 2*k, d = -2*d - 3*k - 42. Let r be ((-9)\/12)\/((-18)\/d). Let l be 130\/819 - 2\/(-7). Which is the third smallest value? (a) l (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*q**4 + 870*q**3 - 628*q**2 - 1976*q - 784 = 0. What is q?\nAnswer: -49, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 316 + 2?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t**2 + 4*t - 4. Let x(y) = 14*y**2 - 11*y + 11. Let n(b) = -11*l(b) - 4*x(b). Let i(f) = 13469*f - 26934*f + 25*f**2 + 13465*f. Determine n(i(w)).\nAnswer: -625*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 77*g**2 + 4*g - 7. Let s(l) = -13*l. Calculate s(d(j)).\nAnswer: -1001*j**2 - 52*j + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545922 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n + 99 = -4*l - 36*n, 4*n = -5*l - 175. Which is greater: l or -32?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 378 by -27.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7 - 11 - 3*v - 3 - 2. Calculate the lowest common multiple of 18 and d(-13).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/256 and -83\/864.\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1250177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124239 is divided by 9493?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a minute in seconds?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*i - 11, 2*i - 4*t = -0*t + 10. Suppose i = 2*n + n. What is the smallest value in -0.2, n, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107585226*j**2*s**5 + 2968*j**2 - 13652*s wrt s?\nAnswer: 2151704520*j**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6146 - 6146 + 3497*p**2 as a*p + y + m*p**2 and give m.\nAnswer: 3497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 + -2 - -3 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257517929 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 582281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 66.90171m?\nAnswer: 6690.171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 7*s**2 + 6*s**2 + 3*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dggd when four letters picked without replacement from {d: 14, g: 4}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123229*m + 28057 wrt m.\nAnswer: 123229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 4*t**3 - t**3 + (-3*t + 3*t - 2*t)*(2*t**2 + 3*t**2 - 2*t**2) - 3*t + 3*t + 15*t**3 to the form h*t**3 + g + m*t**2 + v*t and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(147) - sqrt(3)) - (0 + sqrt(300)))**2 - (sqrt(432) + 3 - (sqrt(27) + 1*(1 + sqrt(27)))**2).\nAnswer: -32*sqrt(3) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**2 - 497541467*f - 673920564.\nAnswer: 2*f - 497541467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5495 + 14101 + z**2 - 2*z**3 + 2*z - 6103 to the form o*z + j*z**2 + g + m*z**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/277 - 5311\/2216. What is the common denominator of 77\/20 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1183\/19998 or 0?\nAnswer: 1183\/19998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 4*c**2 + 16*c + 41. Let t be w(-3). Let k(l) be the first derivative of -2\/33*l**3 - 30 + 0*l - 1\/11*l**t. Factor k(x).\nAnswer: -2*x*(x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6534 is divided by 53.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 6*j**2 - 3*j - 9. Calculate a(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 12:38 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598*i + 603*i - 81 = -21*f, i = 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/6*16\/(-6). Let g be (-2)\/y*(2 - 2). Suppose 5*n - 3*s = 32, 0 = 4*n - g*s + 2*s - 30. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-10))\/(-3*1)*8. Are 3 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 64 = 2*k, 3*a + 5*k + 26 - 76 = 0. Calculate the highest common divisor of a and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/72 - 5*f**3\/36 - 16*f**2. Solve q(t) = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94 + -255143?\nAnswer: -255049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 1001*o**2 - 16018*o + 32 = 0. Calculate o.\nAnswer: 2\/1001, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 859 or 886?\nAnswer: 886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3246 is divided by 255?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -123011?\nAnswer: 123023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 320 - 5115?\nAnswer: -4355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10412 + 10415. What is the smallest value in -7\/3, 2\/15, -1, c?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*r + 1997 - 314 - 6235 = -1406 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -82520258201 take away -711?\nAnswer: -82520257490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11022102 (base 7) to base 14\nAnswer: -1a9039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 3 = 3*s. Let i(u) be the third derivative of -3*u**2 + 0 + 1\/540*u**6 + 0*u**5 + 0*u + 0*u**3 - 1\/315*u**s + 0*u**4. Factor i(q).\nAnswer: -2*q**3*(3*q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 520*k**6 - 36*k**5 + k**4 + 207332*k**2.\nAnswer: 62400*k**3 - 2160*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12204*s - 12205*s - 12206*s - 12209*s - 12211*s + 61042*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19954442.47 rounded to the nearest 100000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 27, 64, 105, 150?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11855\/(-33194)*(-7)\/(-40).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/10*(-15)\/(-18). Suppose -3*s + 13 = -2*n, 0 = -4*s - 4*n - 8 + 32. What is the smallest value in 2\/15, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:21 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346 is divided by 272.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 2, k: 9, p: 4, l: 1}. Give prob of sequence vzz.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 508*1.3.\nAnswer: 660.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -38394, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 625.2067 kilometers?\nAnswer: 625206700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 40, -5, -0.2.\nAnswer: -5, -0.2, 2\/3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**2\/7 - 808*g\/7 - 81608\/7 = 0.\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4982\/3 - 1645. What is the common denominator of r and -1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114.018 + -0.018. Let n = 113.9999707 - k. What is n rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -131, -810, -1941, -3524?\n\"Answer: -226*l**2 - l + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 695*w**8\/56 + 127*w**4\/12 + 30*w. Find the third derivative of r(q) wrt q.\nAnswer: 83400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-1)*b)**(-7\/5)*((b\/(b*b**(-3)))\/b)\/b**(2\/13)*b\/(b*b\/(b**(-5)\/b*b))*b**(-1)*b**(-6)*b*b\/b**(-2\/17) assuming b is positive.\nAnswer: b**(-16173\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 22 - 123*a - 5.\nAnswer: -123*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 12*m**2 - 18*m - 145. What is the units digit of q(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*t - 125*t + 0 + 7 - 1 - 124*t.\nAnswer: -397*t + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjf when three letters picked without replacement from eqpqeqfeejeeepeo?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/615 (b) 1\/28 (c) -8\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - (3 + 3 + 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -154*y + 91*y + 1323 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14037 - -44595. Is 39 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**4 - 1412*u**3 - 2299 wrt u.\nAnswer: 4*u**3 - 4236*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -16. Suppose -1130 = -5*h - q - 4*q, k*h - 908 = -2*q. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4803 - -1317.8?\nAnswer: 1319.2803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7445 = 25*y - 48*y + 155*y - 449 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26417.22 months in centuries?\nAnswer: 22.01435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1450.98 + 1475. Let d = -24 + z. Which is the nearest to -2? (a) -0.4 (b) d (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149837911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 w when four letters picked without replacement from {n: 5, w: 8, u: 2}?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -d, 15*d - 10*d + 10 = 0. Solve -v - 5*h + 26 - 28 = 0, -v - h - a = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + sqrt(72))*5.\nAnswer: 8 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/4)\/(x\/(x\/(x\/x**(1\/7)))*x*x))**(-1\/10))**(-20\/3) assuming x is positive.\nAnswer: x**(-101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -14. Suppose -16 = -d*z + 4. Suppose -2*g = 3*w - 1467, -z*w = -3*g - 2*g - 1933. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 538393809 and 3?\nAnswer: 538393809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*t + 29*t + 53*t)*(0*t - t + 0*t).\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -7, -0.124?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 6:00 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-857)\/(-9) - 1) + 92\/(-414). What is the third derivative of 62*m**3 - 145*m**2 + t*m**2 + 31*m**3 wrt m?\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let u(n) = 4*n**2 + 3*n + 2. Let s be u(-1). Let g(d) be the third derivative of s*d**2 + 0*d - 1\/6*d**4 + 0*d**3 + 0. What is g(x) - 2*l(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(156)*-1 + sqrt(156) + sqrt(156)*1*5 + sqrt(156) + sqrt(156))\/((6*sqrt(300) - ((sqrt(144)\/sqrt(4) - sqrt(36)) + sqrt(36))\/sqrt(3))*1).\nAnswer: 3*sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6751 (base 8) in base 14?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + 94. Let s = l - 114. Solve -s*a = -6*a + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 2:57 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*i + 25, 0*n + 1 = -3*i - 2*n. Suppose 2*l - b + 103 = i*l, 0 = 4*l + b - 400. Let u be l\/(-22)*2\/(-3). Solve -u + 15 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 2*a - 22, -171*a + 90*a - 15*d = -76*a + 155 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 623624?\nAnswer: 623631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165 + -99. Let t = 116 - k. Calculate the remainder when t is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 17219*l - 7681*l + 1 - 8684*l.\nAnswer: 854*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2861697 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Let c be (-259)\/(-15) - (252\/45 + -5). Factor -10\/3*j**2 - 8\/3 + 32\/3*j - c*j**v.\nAnswer: -2*(j + 1)*(5*j - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -35, -72, -125, -200, -303, -440?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25279165 times 1?\nAnswer: 25279165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*o - 36545 = 247. Calculate the greatest common divisor of 9 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 741, -2\/9, 4, -2\/5, 2, -0.3 in decreasing order.\nAnswer: 741, 4, 2, -2\/9, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -12.6. Let t = -2.400062 - s. What is t rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -460934, -460936, -460940, -460946, -460954, -460964?\n\"Answer: -s**2 + s - 460934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-154)\/(-10) + (-6)\/(-10). Let t = 1 + d. Let s = -5 + t. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + 4*y + 2. Let t be n(-2). Let l = t + -4. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112042682.381 take away 0?\nAnswer: 112042682.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*b + 571264 = -25461 - 445862. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*o + 2*h, 0*o = -5*o + 3*h + 55. Suppose 0 = -3*c - 2*x + o, c + 4*x - x = 6. Solve -c*u = -8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.512 + 0.548. Let s = 0.06 - i. Let h = -66.9 + 67.2. Sort -0.2, s, h.\nAnswer: s, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5876, 15211, 24474, 33671, 42808, 51891, 60926, 69919?\n\"Answer: a**3 - 42*a**2 + 9454*a - 3537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = 314 - 272 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 8*s**2 + 3*s + 6. Let m(j) = -21*j**2 + 7*j + 13 - j**3 - j**3 - 18*j**2 + 22*j**2. Let y(l) = -3*m(l) + 7*x(l). Determine y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -6946?\nAnswer: -6251.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1247 + 1124 = w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r**2 - 31*r - 15. Let l(j) = 6*j**2 - 14*j - 7. Give -5*l(o) + 2*q(o).\nAnswer: -2*o**2 + 8*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 6*i**2 - 7*i + 3. Let z be g(7). Solve 0 = -4*s + z*y - 4 + 8, 4*y - 12 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/7)\/((-20)\/210). Suppose 0 = -2*j + 4*h + 1828, -n*j + 7*j = -3*h + 3656. What are the prime factors of j?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -3 + -1 - 0. Which is the second biggest value? (a) -0.3 (b) y (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627.8993 centimeters in micrometers?\nAnswer: 6278993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-109)\/872)\/(((-29)\/87)\/((-656)\/(-6)))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/3 of a century in months?\nAnswer: 20800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Calculate the smallest common multiple of p and (10 - 6)*(1 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(325))**2 + (sqrt(13)*-1)**2 + -2 + (sqrt(52)\/sqrt(36) - sqrt(13)) + -5.\nAnswer: -2*sqrt(13)\/3 + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30638146?\nAnswer: 2, 7, 11, 19, 37, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (0 - 0 - (-15 + 1 + 10)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - -0.8. Let g = s + -1. Let k = -2.23 - -2.03. Which is the third smallest value? (a) k (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 571 - 263. Let h = -308 + w. Which is the nearest to h? (a) -0.4 (b) -19\/2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 + 467. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 17.9. Let q = -12.65 + 13. Let y = q + 0.05. Which is the third biggest value? (a) d (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, d: 3}. Give prob of sequence dddi.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4*(-3)\/(-50))\/((-4068)\/2712).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 3)*(-d - d - d)*(0*d**3 + 6*d**3 + 2*d**3) as r*d**4 + s*d + c + o*d**2 + g*d**3 and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009 times 0.74?\nAnswer: -0.00666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -284\/114229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 9 = k, -l + 2145 = l - 14*k + 2213 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/((-12)\/192*6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 not equal to 220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**3 + 23*x**2 + 8*x + 14. Let g(r) = 7*r**3 - 25*r**2 - 7*r - 13. Let d(f) = 5*g(f) + 6*p(f). What is d(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35122*l**5 + 326*l**4 + 6374*l**2 + 1593*l wrt l?\nAnswer: -2107320*l**2 + 7824*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + -27. Suppose x + 35 = -0*x. Let u = s - x. What is the highest common divisor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4*31059\/(-336) - (-2)\/8 is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**3 - 2*m - 1. Let w be q(-1). Find the common denominator of 29\/54 and (4 - w) + 25\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.373 to zero decimal places.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48612346\/5 or 9722468?\nAnswer: 48612346\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 6) to base 11\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**5\/120 - 2*q**3\/3 - 4. Let j(s) be the third derivative of r(s). Let v(p) = 9*p**2. What is v(j(k))?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -170, -271, -372, -473, -574?\n\"Answer: -101*c - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 287596747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-37)*i**(-3\/7)*(i\/(i*i**(-1\/6)))\/i**(-11) assuming i is positive.\nAnswer: i**(-1103\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -139916.\nAnswer: -3\/139916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -65. Let g(j) = -j**3 + 11*j**2 - 9*j - 33. Let w be g(h). Which is bigger: -24 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0*w + 3*p - 612, -2*p + 208 = w. Let l be -72*w*(-175)\/10. What is l rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75682 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 349.2829 + 0.3171. Let s = 350 - w. What is the nearest to 4 in 3, s, 3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1633, -1531, -1339, -1039, -613, -43?\n\"Answer: 3*v**3 + 27*v**2 - 1663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**2 - 42*f + 56. Let z(o) = 4*o**2 + 30*o - 37. Let k(x) = 5*q(x) + 7*z(x). Let w(b) = 3*b**2. Calculate w(k(s)).\nAnswer: 12*s**4 - 252*s**2 + 1323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13*f - 1. Let i be ((-41)\/(-3))\/(5 - 87\/18). Let v(b) = -i*b**2 - 84*b**2 - 91*b**2 + 255*b**2. What is l(v(t))?\nAnswer: -26*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/35*1*-10*(-15)\/675?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 23*q**3 + 446*q**2 + 1753*q - 5. What is t(-14)?\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/28)\/((-2)\/(-14)). Let g(l) be the second derivative of -1\/10*l**5 + 0 + 1\/4*l**4 + 0*l**3 + 0*l**t - l. What is the third derivative of g(z) wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4804 is divided by 2605?\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2 = 4*u, -4*w - 7 - 3 = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266703627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -492*a + 2034. What is the tens digit of r(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -772*q**2 - 752*q**2 + 1522*q**2 + 214*q to z + k*q**2 + h*q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 4*v + 9. Let k = -68 + 109. What is the remainder when k is divided by j(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 - 5797*o - 421624. What is k(-71)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a + 4. Let t(l) = -17 + 16*l + 39 - 14 - 19. Give -4*t(b) - 11*y(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(310\/(-156) + 2)*-8.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775243599 a multiple of 2381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -8. Let g(a) = a**3 - 13*a**2 + 11*a + 6. Let n be g(12). Let w = p - n. Solve 3*j = 4*u, w*j + 2*u - 24 = -2*u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/105764 and -103\/1224006.\nAnswer: 335377644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 72*o**2 + 8*o**3 + 28 + 80*o - 2*o**3 - 3*o**3 - 4*o**4 + 13*o**3 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2871386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 9*b**2 + 7. Let t = -15081 - -15072. Give r(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 184 + -184.0000585. Round t to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17104*s + 13535*s + 53535 = 0 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 6 (c) -77 (d) -11 (e) -1\/3 (f) 0 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -0.1, 3\/2, -14\/5 in ascending order.\nAnswer: -14\/5, -5\/4, -0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2126.941 * 3\nAnswer: 6380.823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 17.5. Let f = -17.072 - j. Let v = f + 0.22. Round v to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 37 = -12. Suppose -d + f*a + 31 = -0*a, -3*d = -5*a - 43. Solve 0 = d*b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31158 - 20521. Is 49 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 297996689?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -35*k. Let x(f) = -143*f + 3. Let p(u) = -237*u + 6. Let a(t) = -3*p(t) + 5*x(t). Calculate w(a(s)).\nAnswer: 140*s + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-1344) + 12\/(-72) + 2 + (-2129)\/1144.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 8*o**2 - 6*o - 3. Let y be a(7). Suppose y*b - 7 = 17. Let h = b - 38. What is h rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18\/5 + 17\/5. Let i = -11\/30 - x. Which is the third smallest value? (a) 9 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140520605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99851 and 1116?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(14)\/sqrt(8) - sqrt(7)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156305?\nAnswer: 5, 43, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j + 17*j + 37*j.\nAnswer: 42*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.4 + -28.5. Put 4, -499, t in descending order.\nAnswer: 4, t, -499","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 860*c**3 - 3328*c**2 - 10128*c.\nAnswer: -4*c*(c - 211)*(c - 6)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*u**2 - 72*u**2 - 92*u**2)*(0*u + 0*u - u**2)*(2*u - 3*u - u).\nAnswer: -446*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.4 (c) 0.3 (d) 0.052 (e) -416 (f) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/19 (b) 5 (c) 3\/2 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 9:20 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1067, 1073, 1083, 1097?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-5))\/((-11)\/(-5) + -3). What is the nearest to -1\/4 in 3, 2\/3, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.33 + 0.23. What is the closest to z in -1, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 13. Let s be h(9). Let k(w) = 5*w**2 + 2*w + 8. List the prime factors of k(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j - 376. Suppose 0 = 2*i - 4*g + 10879 - 10989, 3*g = -5*i + 145. What is the remainder when j is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -43?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 993*p**2 + p - 807*p**2 + 0 + 0 to d*p**2 + o*p + a and give d.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/6*(-75)\/((-25875)\/897)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 2*x**2 + 5*x + 0*x**2)*(2*x**3 - 3*x**3 - 2*x**3).\nAnswer: 6*x**5 - 15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 0.3 (c) -0.1 (d) -0.025 (e) -6 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -221*j - 8. Let w = 9 + -7. Let g be t(w). Round g to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 44.7879mm?\nAnswer: 44787900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, l: 3, k: 6, d: 1, o: 2}. Give prob of picking 2 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31570, 63132, 94686, 126232?\n\"Answer: -4*j**2 + 31574*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 0*o + 3\/2*o**2 - 1 + 4\/3*o**3. Find the second derivative of z(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/60 - (-7 - -3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 695, 1268, 1853, 2456, 3083?\nAnswer: 3740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3089\/2508 - -1\/228. Calculate the common denominator of (5\/(-3))\/(4\/78) and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (9 - (-7 + 7 + 7 - 16)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q = 4*c + 14*q + 28, -7 = -c - 4*q for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 542641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/209 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 142 = -5*i, -4*i - w + 53 = 21 - 90 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 6*l - 2*l - 26*q - 63 = 10*q, q + q + 13 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2317*v = -2224*v + 211 - 2071 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -q - 4, -2 = -4*m - 3*q - 0*q. Let o be (-1 - -2)\/(1\/m). Suppose 7*i = o*i + 25. Solve 5*d = 5*l + 10, 4*d + 4 - 30 = -i*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 4:25 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -32. Let k(a) be the first derivative of -3*a**4 + m - 8*a + 6*a**2 + 4\/3*a**3 + 4\/5*a**5. Factor k(r).\nAnswer: 4*(r - 2)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 14\/6345615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/107260416 and -3\/7945216?\nAnswer: 214520832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2193*d + 2193*d + 6*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/33? (a) 1.1 (b) 4\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 2*o**2 + 2*o - 2. Let j be w(0). Let k(v) = 2*v - 3. Let f(u) = u - 1. Let c be -5*(4 + -9 + 4). What is c*f(a) + j*k(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -525*k + 1867. What is x(12)?\nAnswer: -4433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22269 + 40555 = 2*r - 5*w, 2*w - 157060 = -5*r. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 21698*s - 43404. What is u(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 6:15 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 13*z**2 + 15*z + 25. Let c(k) = -6*k**2 - 8*k - 12. Let t(s) = 4*b(s) + 9*c(s). Let w be t(-5). Are w and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 - (-654)\/9. Suppose -2*d = -7*d + 30. Let h = 6 + d. Calculate the highest common factor of h and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34694*t - 104102*t + 34697*t + 34700*t.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1 = 2*y, 14*j + y + 4 = 17*j. Let n(x) = -x - 8. Let i(p) = p + 9. Calculate j*i(v) + 4*n(v).\nAnswer: -v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*m - 7*m - 651. Let b = -91 + m. Suppose -27\/2*i**b + 21\/2*i + 3 = 0. Calculate i.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-4 - (-2 + 0)) + -16 + 0 + -12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -178*w**4 - 194*w**4 + 383*w**4 + (-2*w + 0*w + w)*(-w**3 - 4*w + 4*w) + w**4 - 3*w + 0*w**4 + 2*w + (2*w**2 - w**2 - 2*w**2)*(w**2 - 3*w**2 + 3*w**2).\nAnswer: 12*w**4 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 268920517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4 = -t, -2*o + 22 - 2 = -5*t. Suppose o = -2*y - y + 12. Calculate the highest common divisor of y and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -3*v + 17. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i + 4. Determine b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*c - 33 = 0, 4*c = -18*n + 50*n - 124. Suppose 3*b + 15 = 8*b. Is 6 - b - (n - (1168 + -3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 102557.637 microseconds?\nAnswer: 0.0000011870096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 811033 divided by 1\nAnswer: 811033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*z**2 + 819*z + 451759 with respect to z.\nAnswer: 44*z + 819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200096757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 32, -22\/3823, 9 in descending order.\nAnswer: 32, 9, 2\/3, -22\/3823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 6*o. Let x = 3 + 1. What is the smallest common multiple of x and p(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1582411960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 108*u**2 - 2*u. Let l be i(-3). Is (l\/(-12))\/(1\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/7))**(-23\/3)*(a\/a**3)**(-15\/4))**6 assuming a is positive.\nAnswer: a**(177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1009*a + 351. Is m(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**2 - 10. Let h(n) be the second derivative of -2*n**3\/3 - 13*n**2\/2 - 2877*n. Determine h(s(g)).\nAnswer: -28*g**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6162\/5 > 1233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1673 (b) 1 (c) -0.1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - 3*q + 6. Suppose z + 3 = 4. Let o(w) = -1. Let d(k) = z*h(k) + 6*o(k). What is the second derivative of d(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67\/11 - -1) + 14\/(-154).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10242 divided by 87\nAnswer: 3414\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -62518, -500226, -1688300, -4001926, -7816290?\n\"Answer: -62531*s**3 + 3*s**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -245*d - 12. Let x be r(-4). Let w = 1470 - x. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100560 or -100561?\nAnswer: -100561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {f: 5, b: 1, j: 1, u: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {s: 3, u: 6, d: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + (-26)\/8)*-8. What is the units digit of r\/7 - 3132\/(-63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a*j**5 + 6*a*j**2 - 198*a*j - 2*a - 309*j**2 - 14 wrt j?\nAnswer: 80*a*j**3 + 12*a - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 676, 513, 240, -143, -636?\nAnswer: -1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-22) - (-8)\/44. Sort -2\/7, s, 0.5 in descending order.\nAnswer: 0.5, s, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 b, and 1 s when three letters picked without replacement from ssijsiibssibissgs?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*i = -156*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 6 + -11 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-309)\/(-515))\/(8\/5))\/(9\/12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 22*i - 95. Let k be p(-16). Suppose -2*z + 81 = -3*g + 19, 4*g = 0. Let f = z - k. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 5*c**8\/56 - 23*c**4\/12 - 4*c. What is the third derivative of q(j) wrt j?\nAnswer: 600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -508 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 2*p - 18*p + 137336 = 0. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -11495*h**2. Let o(k) = 4*k**2. Determine d(o(s)).\nAnswer: -183920*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 1530?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 2546407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:26 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32561 (base 9) to base 2.\nAnswer: 101010001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 9*r + 15 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + w**2 + w - 2. Let k(o) = 13*o**3 - 20*o**2 - 18*o + 3. Let r(x) = -k(x) - 6*u(x). What is the remainder when r(-5) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(96)\/sqrt(4) + -3*sqrt(600))\/(sqrt(24)\/sqrt(3)*-5 - ((sqrt(968) + -1*sqrt(968) - sqrt(968)) + sqrt(968))).\nAnswer: 2 + 13*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**3\/2 - 23*z**2\/2 - 1514*z. Give m(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - r - 4 = 0, -3*s - 7*r + 6*r = 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 11. Let l be c(7). Solve -l = 2*k - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9799 - -209?\nAnswer: 200.0201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234654 is divided by 18050?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013842 is divided by 3621?\nAnswer: 3583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2*14\/(14\/(-2)))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 826155995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -43. Let f = -17 + g. Let w = f - 10. Which is the third biggest value? (a) -1\/5 (b) w (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 16*k**3 - 108*k**2 + 71*k + 32. Determine x(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/3)\/((-8)\/12). Suppose 0 = 4*y + 4*w - 373674 - 1929134, -c*w - 20 = 0. Let q = y + 144293. Round q to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/39))**(2\/57) assuming b is positive.\nAnswer: b**(82\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -121. Let r = o - -14. Suppose -4*u = -3*x - 151, 2*u - r = -2*x + x. Calculate the greatest common factor of 296 and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7092122 - 1503*a + 17679*a - 7092122 in the form u + y*a and give y.\nAnswer: 16176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**6\/360 + g**5\/5 - 29*g**4\/72 - 35*g**3\/3 + 251*g**2. Suppose q(x) = 0. What is x?\nAnswer: -2, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 8*q**2 - 3*q - 39. Suppose -81*r + 89*r = 72. Let m be s(r). Solve m*u + 16 = 11*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/9 and -11\/5220354.\nAnswer: 15661062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 60811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38253 greater than or equal to 38243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -68, -110, -80, 58, 340?\n\"Answer: 6*r**3 - 84*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101 - -1015013?\nAnswer: 1014612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-12) - 2\/4. Is 5\/(o - 24\/(-22)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*a + l + 37, -5*l = -2*a + 20. Let s = a - 11. Suppose s*j - 92 = -3*h, -3*j + 6*h + 44 = 2*h. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 949, 7661, 25883, 61369, 119873, 207149, 328951?\n\"Answer: 959*g**3 + g**2 - 4*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1\/926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0237 rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 + 14 = 0. Calculate the greatest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 6*c - 6. Let x(k) = -2*k**3 - 7*k + 7. Suppose 69*y - 65*y = 8. Suppose 21*g = -y*g - 161. Calculate g*v(w) - 6*x(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:54 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 3*d**2 + 2*d**4)*(d - 2*d - d) + d**2 + 2*d**5 - d**2.\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 12:21 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3933501 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**4\/12 - 2*t**3\/3 + 5*t**2\/2 - 67*t. Let k be -2*(-2)\/(4 + -3). Suppose 12 = 3*u - 2*z - 2, -k = -2*u - 4*z. Give x(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 50243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6204 + 37375\/6. Let o = -25 + u. Do -9 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0449765 + -0.045. What is f rounded to six dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 - 81 + 37)*(222*p**4 - 289*p**4 + 150*p**4).\nAnswer: -8051*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -49.2. Let q = 7 + l. Which is the third smallest value? (a) q (b) -3\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - o + 17, -3*o = 2*q + o - 40. Calculate the highest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-9)\/2) + 1380\/90. Suppose 36*i = 32*i + o. Let s = 22 + -22. Put -1, s, i in ascending order.\nAnswer: -1, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*z**4 - 5\/2*z**3 + 0*z + 0 + 0*z**2 = 0. What is z?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 1371271*t - 9 - 1371265*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -3\/4, -0.3, 1\/12, 3\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-133) - (920\/(-76) + 3). Sort -2, h, 5, -4 in decreasing order.\nAnswer: h, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 1:03 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06953 + 2.93047. Do i and 269\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 25844 = 9786. Suppose 16580 + z = 18*x. What are the prime factors of x?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -7\/5, -0.3, -2\/17, -2\/13?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -1)*(246\/(-164))\/(2 - 5)*-4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - d**2 + 0 - 3*d**3 + 1. Let u(r) = -4*r**2 + 1. Suppose -209*v - 139 - 641 = 59*v + 24. Give v*j(c) + u(c).\nAnswer: 3*c**3 - c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521707886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/4 + (-9)\/12 + -24. Let c = s + 12. Let w be 9\/(c\/4) + -16. Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52389 is divided by 296?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 3836?\nAnswer: -3836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**4 + 2*x - 8. Let i(l) = -6*l**4 + 7*l - 25. Let p(z) = -2*i(z) + 7*r(z). Differentiate p(n) with respect to n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 17. Suppose 4*r - 8*r - 60 = -y, 3*r = -3*y + 120. Suppose -4*m + 16 - 44 = -2*q, -4*q + 5*m = -y. What is the remainder when a is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 975558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -434 divided by 70\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 5)*3\/(-3). Let t(b) = -b**2 - 6*b + 1. Let s be t(-3). Suppose -z - 4*q + 5 = 3, 5*z + 3*q - s = 0. Is c > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 15*d + 49. Let j be o(12). Suppose 0 = 5*v + 20, 4*v = 5*m - v - 105. Solve -6*w = j + m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 - 2*f + f + 2 + 506*f**2 as a*f**2 + c + t*f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -1. Let m = 28428\/241927 + 2\/14231. Which is the biggest value? (a) 42 (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*r + 317*r = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 e when three letters picked without replacement from {x: 4, i: 2, c: 7, e: 5}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/((-33495)\/1221) - 1.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 93*f - 223. What is q(-6)?\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 5*u**2 - 3*u. Let o be i(2). Let b(z) = 5*z - 1. What is the remainder when b(3) is divided by (-47)\/(-9) + o\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 6:36 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/560 and -59\/40.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 3*r + 19. Let i be x(4). Suppose -2*m - 13 = 3*s + 26, -38 = 2*m + 2*s. Let b = m + i. Solve b*d + 3*n - 9 = 12, -4*n + 8 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -35*v + 35*v - 18*v**2. Let c(d) be the first derivative of d**4\/24 + d**2 - 1. Let l(h) be the second derivative of c(h). Determine l(x(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 3*j**2 - 3*j**3 - 3*j**3 + 7*j**3 to the form h*j**2 + b + i*j**3 + p*j and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 106042 (base 9) to base 6\nAnswer: 1205445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125620*x - 128992*x + 155112 = 0 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1 (b) 3\/7 (c) 1\/6 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p + 39*p**5 - 6 - 121*p**5 + 3*p wrt p.\nAnswer: -1640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 12) to base 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (206 + 4*l**2 - l - 210 + 2*l)*(-8 + 8 + 6*l**2).\nAnswer: 24*l**4 + 6*l**3 - 24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uukulllkuuuluk. Give prob of sequence lkuk.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (153186\/90 + (-66)\/(-110))\/(2\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d. Let j be i(-6). What is the units digit of (176\/j)\/((-4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + (-10 + 4)\/((-6)\/(-4)). List the prime factors of d\/(-14) - (-1524)\/28.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -48*p - 1. Let v(l) = -l. Calculate t(u) + 5*v(u).\nAnswer: -53*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(b - b - b)*(0 + 1 - 2)*(4 + 6 + 2).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29370671\/315 + -93240. Find the common denominator of 5\/9 and c.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9911 - 9912.7. Which is the biggest value? (a) x (b) 0.05 (c) -2\/11 (d) 2\/19 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17736348?\nAnswer: 2, 3, 7, 19, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.77 - -5.2. Let y = -0.97 + t. What is the third biggest value in 0, -0.2, 4, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 2288?\nAnswer: 5\/2288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/(((-14)\/(-4))\/7)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 235, -4 in increasing order.\nAnswer: -4, 0.4, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8856.858 litres to millilitres.\nAnswer: 8856858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = 3. Let f = q - 5. Let z be ((-12)\/f*1)\/6. Which is the closest to z? (a) -3\/4 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 divided by 385?\nAnswer: 439\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z + 572 = 3308 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2166 (base 7) to base 3.\nAnswer: 1002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**2 - 38*s + 75. What is v(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 25 = 4*v, -56 = 64*v - 53*v + 4*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815900079?\nAnswer: 3, 179, 281, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x - 35*x - 4*x)*(-5 + 4 - 1)*(-2 + 6 - 3).\nAnswer: 60*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37787.\nAnswer: 29, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1230 (base 7) to base 13.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-63))\/(36\/81)*(-420)\/360?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-seven quarters of a gram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*v + 21. Suppose -2*f + v*f = 12. Let y = 1 - 2. What is the smallest value in y, 1\/3, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*sqrt(312)*2)\/sqrt(12))\/((sqrt(72)\/sqrt(3)*-6)\/(sqrt(120)\/(sqrt(10)*1 + sqrt(10)))).\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22097 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 166 - 339 + 176 to the form u + q*x and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6 = -5*m, -4*m - 2*h + 5 = 15. Let u = 2 + -9\/4. Which is the biggest value? (a) m (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/1559 (b) 4 (c) -1 (d) 2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-488)\/9 + (-6)\/(-27). Let d be 6\/(2\/v*-2). What is the highest common divisor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*n - 371*n - 3 = -5*p, 4 = -5*p - 9*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22\/9 in -1\/2, -23, -0.03, 2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2))**(-2\/35)*d*d\/((d**1\/d)\/d*d*d)*d**8 assuming d is positive.\nAnswer: d**(314\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -691\/241409?\nAnswer: -691\/241409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-110))\/(6\/(-4)*(-208)\/(-260))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13547338 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 22. Let w = -259 - -285. Let u be (-238)\/w - (-44)\/286. Calculate x(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 5:49 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42007490, -84014972, -126022454?\n\"Answer: -42007482*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -17 + 40 + 21?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -5, -0.8, -0.4, 1\/13, -11.61, 1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(((-34216)\/780)\/94).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -125? (a) 2\/7 (b) 0.1 (c) 6 (d) 6.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1 - (-5)\/(-20))*94\/(-2961).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 858.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6004921403.\nAnswer: 13, 89, 347, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 - 76. Let w(b) be the third derivative of 1\/420*b**6 + 0 + 1\/42*b**3 + 1\/42*b**4 + 1\/84*b**j + 6*b**2 + 0*b. Suppose w(m) = 0. What is m?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/5 + 20616*o\/5 - 563922 = 0.\nAnswer: -10443, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13644 is divided by 104?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 10:28 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 595, 1181, 1755, 2317, 2867, 3405?\n\"Answer: -6*m**2 + 604*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -187\/4 - -47. Let f = -5952 + 5951.5. Which is the third smallest value? (a) f (b) y (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.452369 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1515590 by -24445.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 + 3*t**2 - 21*t - 28. Give f(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 181804322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - 4. Let q be (-5)\/(-6) + (-2495)\/x. Let m = -64 + q. Which is smaller: 19 or m?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 3. Let x be y(0). Let r be 2 + -6 + 24001 - x. Round r to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b*m**2*t + 4*b*m**2 - 43*b*t**2 + m*t**3 - t**3 with respect to m.\nAnswer: -6*b*m*t + 8*b*m + t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/4*5\/75*-3.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 25*t + 490 = 0. Is 14 a factor of (-14)\/49*4\/(8\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 146509*c + 173272 wrt c?\nAnswer: 146509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 23 = -3*b, 2*b + 107 - 105 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*z**2 - 118*z**2 + 45*z**2 + 57*z**2.\nAnswer: 37*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 0*y + 0 + 0*y**4 + 0*y**3 + 1\/60*y**6 + y**2 + 1\/20*y**5. Find the third derivative of l(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 4*t - 8. Let k be n(6). Suppose -k*r - 24 = -7*r. Calculate the smallest common multiple of r and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 31 = 31*b. Calculate the remainder when (b + 3)*5934\/92 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2*(4 + 0 - 2). Let k be (30\/4)\/((-5)\/(-10)). What is the third derivative of -6*s**2 - 3*s**n + s**5 + k*s**2 + 3*s**2 wrt s?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -27 - -16 - 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26660330 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 0 - 8*d - 3*d + 3 + 14*d. Suppose 10*r - 14 = -44. What is u(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -59, -122, -185, -248, -311, -374?\n\"Answer: -63*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = 5*s. Differentiate -7 + 69*m**2 + m**3 - 69*m**s wrt m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + q - 41. What is v(0)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 4*l + 90 = -i + 53, -2*l + 144 + 22 = 18*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*s, -3*s - 259 = -5*p + s. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 11*c = 27*c - 702 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147518596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 1993*g + 103008. What is p(53)?\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = -3*c + n, -2*n = 8. Is c equal to 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 582*f**5 + 2*f**3 + 91*f**2 wrt f?\nAnswer: 34920*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3143 - 11759. Let u = -2489 + z. Round u to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**4\/4 - 2*o**3 + 21*o**2\/2 - 12*o - 70. Is q(-9) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 241*y**2 - 1204*y - 3. Let x be u(5). Factor 1\/2*p**3 + 3\/2*p + 1\/2 + 3\/2*p**x.\nAnswer: (p + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 726198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2. Let p be ((-5)\/10)\/(3\/12). Let l(i) = -23*i**2 - 16*i - 2. Let c(g) = g**2 - 8*g. Let n(a) = p*c(a) + l(a). Determine b(n(u)).\nAnswer: -1250*u**4 - 200*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 17*o + 21. Calculate the remainder when g(6) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -35.7. Sort 0.1, k, 18, -1\/13 in ascending order.\nAnswer: -1\/13, 0.1, k, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2, -3, -1 in ascending order.\nAnswer: -5, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 0*g**2 + 0*g - 1\/18*g**4 - 2 + 4\/27*g**3. Find d such that v(d) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1159780 + -2930220. Round j to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -71.8, 1, -1, -3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-378)\/(-1764) + (-41)\/322. Factor p*g**2 - 4\/23 + 2\/23*g.\nAnswer: 2*(g - 1)*(g + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101455\/3 or 33818?\nAnswer: 33818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-28)\/(-16)) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssbmbvb. Give prob of sequence svb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-19)\/(f\/(f\/(f\/(f\/((f*f**(-3\/2)*f)\/f)))))*((f*f**(-4\/27)*f)\/f)**(-9) assuming f is positive.\nAnswer: f**(-157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -6*f**3 + 3. Let d(k) = -k. Determine d(s(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-11) + 10\/(-2 + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/7)*t)**9\/((t\/t**5)\/t*t**(-4\/3)\/t) assuming t is positive.\nAnswer: t**(586\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3)*-1 - 1743\/63. Let b = -25 - l. Solve 4*q - 1 = -3*f - q, -2*f + 1 = b*q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/28 + (-22)\/(-44). Let j(v) = -v**2 + 6*v - 3. Let n be j(5). Which is bigger: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3070005?\nAnswer: 3, 5, 204667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2. Let o(k) be the first derivative of -k**2\/2 - 293*k - 588. Give o(v(y)).\nAnswer: 3*y**2 - 293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 11*p + 168. Let v = p - -54. Let w(i) = -2*i + 8. Let h(y) = 1. Let l(s) = v*h(s) - w(s). Give l(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322.51494 rounded to one dp?\nAnswer: 1322.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -3. Suppose j - 23 = 2*k - 5*k, 5*k - p = 2*j. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 6:19 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (90\/12)\/(3\/8). Let j(s) = 20 - 4*s - i. Let u(y) = -2 + 2 + 0 + 39*y - 37*y. Determine u(j(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + -0.95. What is the closest to m in -4, 2\/15, 9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 4 + 144*k**3 + 148*k**3 - 294*k**3. Let u(g) = 3*g**3 - 5*g - 5. Calculate -5*q(n) - 4*u(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*m + 44*m**3 - 706*m - 496*m.\nAnswer: 44*m**3 - 838*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1355858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.44041 seconds in milliseconds?\nAnswer: 89440.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 49*y = 45*y + 53, 45*i - 239 = -2*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, 4, 18, 30?\n\"Answer: -a**2 + 19*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.32 + 10.32. Which is the closest to 7? (a) j (b) 2\/15 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (19\/2)\/(-1)*12. Let j be (((-35)\/10)\/7)\/((-1)\/(-32)). Calculate the common denominator of 4\/j + q\/8 and 33\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-98)*21\/(-51)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -78*d + 11. What is c(2)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (109 - 105)\/(-4 - -5*((-7)\/(-5) - 5)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*l = -118, 100 = -4*y - 4*l + 288. Let b = -939 + 965. Calculate the remainder when y is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxzzxxizzxzzd. What is prob of sequence zxzx?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.66 + 2.39. Let d = 89782.401 - 89785.45100133. Let x = o + d. What is x rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {r: 8, t: 3, g: 5}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-five thirds of a hour in minutes?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12838?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414842895?\nAnswer: 3, 5, 67, 137593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2093 + 84*s + 2093)*(-10*s**4 + 0*s**4 - 18*s**4).\nAnswer: -2352*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 979.1895 days?\nAnswer: 23500.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(6\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - -4.64. Let o = l + -0.04. Which is the nearest to -1? (a) -2\/9 (b) o (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 780390*z**3 - 2758577*z**2 wrt z?\nAnswer: 4682340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -401421 take away -6141?\nAnswer: -395280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296193 is divided by 4701?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, j: 3, o: 9, l: 1, y: 1}. Give prob of picking 1 o and 1 y.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 12*o - 64. Calculate the remainder when z(14) is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24486191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169327801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - (104 + -142) - (21 - 1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6 + 18 = 0. Let k(v) = 0*v - u*v + 0*v. Let o(a) be the first derivative of -2*a**3\/3 - 1. Calculate k(o(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 3399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 65 = -103. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.6 and 0.068.\nAnswer: -0.1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 34 + (-9)\/((-9)\/(-8)). Solve 0 = -5*h + 2*h - 4*i - 22, -4*h - y = 3*i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n - 142. Determine f(-32).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086157453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44177490 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11253615 is divided by 3219?\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*u - 34. Let i = u + 27. Suppose 3*h - 113 = i. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23677*z**6 - 108*z**2 + 324?\nAnswer: -2841240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 2*j - 8*j)*(j**2 + 2*j - 2*j)*(7*j - 8*j - 8*j).\nAnswer: 27*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78*c + 102 wrt c?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:29 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -2*1\/2. Let j be 6\/3 + r + 1. Solve 4\/3*l**j - 1\/3*l - 2\/3 + l**3 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -163690098 or -818450486\/5?\nAnswer: -818450486\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1. Let q be 1\/(1*2*(-5)\/10). Sort q, p, 1 in decreasing order.\nAnswer: 1, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8874939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1332*r + 1188*r + 8496 = 0 for r.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l + 16 = 0. Let s = -17 + 21. Suppose -v = -4*v + l*k + 12, 4*k + s = v. Solve 2*n = -v*y, 4*n = 3*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25107987 * 0.4.\nAnswer: 10043194.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89145 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.02696421 - 30.5705\nAnswer: -30.59746421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1383 + 1391. Solve 5*x + 9*i - u*i = -10, -4*i - 16 = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.004254801 - -0.0044807. Round r to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042 - -1012 - ((-4 - (-3 - 0)) + 1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 + 5*f - 3. Let b be h(3). Suppose -4*x + 3*w = -2*x - 9, -20 = -4*w. Calculate the greatest common factor of x and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 a factor of 24478792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -42. Let j be 0 - f - -5 - -8. Solve 0 + j = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -98, -102?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2927 + -1935. Calculate the highest common divisor of n and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {c: 1, y: 12, e: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28909980 by -3212220.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - 11*y**4 - 2*y**4 - 3*y**4)*(-73 - 70 - y + 140).\nAnswer: 16*y**5 + 50*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 197531175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, z: 2}. What is prob of picking 2 v and 2 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -4*(-5308 - (-13 - -26))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/((-3)\/16*2). Suppose 5*d = -t + 166, -x + 1 = -5*d. List the prime factors of t.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83.651 - -84. Which is the second smallest value? (a) -4 (b) 0.5 (c) u (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25 - -20) + (-5)\/(-1). Let o(j) = j - 9. Let m be o(8). Let w(f) = 19*f**2 + f + 1. Let d be w(m). Solve k*z + 3*a = -5*z + d, 4*z + 5*a = 23 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**3 + 14*t**2 + 5*t - 47. Let q be y(4). Which is the closest to -0.4? (a) -16\/5 (b) q (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.540401ml?\nAnswer: 0.009540401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-276))\/((-4)\/4))\/((-5)\/(-380)*-19)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 - 244. Let d = r + 162. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + 301. Calculate the greatest common factor of l and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 25, -12, 0, -3, 142, 5 in increasing order.\nAnswer: -12, -3, 0, 3, 5, 25, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*m + 178*m - 183640 = 0. List the prime factors of m.\nAnswer: 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 14, e: 5}. Give prob of picking 2 m.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + k**2 + k - 1. Let u(z) = -42*z**3 + 5*z**2 + 4*z - 5. Let b(i) = -4*o(i) + u(i). Is b(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000063053 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - f + 11*q - 18 = -69, -4*q = -18*f + 56 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*l - 7340 = -310*l. Let x = 741 + l. Calculate the greatest common factor of x and 707.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 893 = 8*t - 563, 21*t - 3*d - 255 = 27*t for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1387 + 2128. Calculate the highest common divisor of x and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4723539123.\nAnswer: 3, 1574513041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - 2 - (-7)\/(-4). What is the biggest value in u, 0.3, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 140509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10344 (base 7) to base 12.\nAnswer: -15b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -14 (c) -0.7 (d) 1 (e) -28 (f) 2 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - c - 3*c + 3, 0 = -4*j + 5*c + 35. Suppose j + 2 = x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 smaller than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 0 (b) -1\/5 (c) 1.41 (d) -0.577\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -7. Let g = r - 9. Let s = 49 + g. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjoo when four letters picked without replacement from {o: 3, j: 11}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 5*s - 345 = 8*z, -3*z = -4*s - 282. Calculate the lowest common multiple of z and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 5*o**4\/12 + 5*o**3\/3 - 20*o**2 + 44*o. Determine j, given that r(j) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1497\/819*3 + 1. Let i = b - -3\/182. Suppose 50*j = -15*j + 455. Which is bigger: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -6. Let o = 5 - w. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 times -10687?\nAnswer: -2778.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 470598 and 246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*p - 64, -4*x - 7*p + 148 = -6*p. Let f = 40 - x. Solve -16*y**4 - 20*y**3 + 34*y**f - 22*y**2 + 21*y + 4 + 0*y**3 - y = 0 for y.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*k - 7*k. What is the second derivative of -10*z**5 + k*z + 6*z**5 + 6*z wrt z?\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*r**2 - 3*r + 2 wrt r.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 - 94*b + 22. Determine g(-32).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2. Let h(k) be the second derivative of k**7\/2520 - k**4\/2 - 3*k. Let v(d) be the third derivative of h(d). Calculate y(v(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**5\/2 - 99*o**4\/2 + 20161*o**3 - 476013*o**2 + 5322239*o\/2 + 6314685\/2 = 0.\nAnswer: -265, -1, 13, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 20*t**3 - 2*t**2 + t + 7. Is b(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 4:04 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 11*v. Let x(z) = -51*z**2. What is a(x(h))?\nAnswer: -561*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-8))\/(2\/8). Let x be f\/(-5) + (-63)\/(-15). Let h be (4\/8)\/((-6)\/x). Put 1, -1, h in descending order.\nAnswer: 1, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 4:37 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2 and -0.032.\nAnswer: -0.0704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -2)\/((-4)\/34). Is 16 a factor of (x\/4)\/((-15)\/60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/41 + 62\/205. Let s = l + -1\/15. Suppose 8 = 5*k - 3*z - 0, -4*k = 4*z. What is the third smallest value in k, s, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2163751996 from -4.\nAnswer: -2163752000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(35*p**3 - p**2 + 5*p**2 - 4*p**2) in the form q*p + f*p**3 + l*p**2 + b and give f.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 8*m - 31. Let u = -27 + 33. Solve -u*l - g + 7 = -l, 4 = -4*l - m*g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 11, 8, 2, -3 in decreasing order.\nAnswer: 11, 8, 7, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/57888 and -31\/2144.\nAnswer: 57888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4765634 and 0.5.\nAnswer: 4765634.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 188674453 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2867*-537.\nAnswer: -1539579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**25\/((v**(4\/9)\/v)\/v))\/(v\/(v*v\/v**0*v))**(3\/28) assuming v is positive.\nAnswer: v**(3373\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (0 - -1 - (62 - 64)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-210)\/(-8))\/(10\/400). What is the greatest common factor of z and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 6*m - 4. Let k be r(-5). Let f = k + 8. What is the units digit of (f - 1) + -1 + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*w + 27*w. Let s(b) be the second derivative of b**2 - 3*b - 1\/6*b**3 + w. Differentiate s(i) wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 297 or 5?\nAnswer: 297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8255.429 nanograms to micrograms.\nAnswer: 8.255429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -373b2 - -28?\nAnswer: -37386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 7*f - 1596. What is r in 155*r**3 - 20*r**4 + 24*r**2 - f*r**2 - 38*r**2 - 80*r = 0?\nAnswer: -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxu when four letters picked without replacement from uxuxuuxu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1443*v - 6 - 1442*v + 23*v**2 + 21)*(3 - v - 3)*(-4*v + 3*v - v)*(-2 + 6 - 2 + 3 - 3 - 1 - 3 + 4 - 3 + (2 - 3 + 2)*(-1 + 3 - 4)).\nAnswer: -138*v**4 - 6*v**3 - 90*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 146, 176, 202, 224, 242?\n\"Answer: -2*q**2 + 36*q + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**6\/5 - 8*o**3\/3 + 661*o**2. Let g(j) = 8*j**3 - 5. Determine 5*a(u) - 16*g(u).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04855 + -3.04855. Let g = -34\/11 + 420\/143. Which is the third smallest value? (a) -16 (b) 2 (c) l (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7907332 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 q, and 1 b when four letters picked without replacement from {b: 3, l: 6, q: 4, e: 6}.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 0*(-3)\/(-6). Calculate the lowest common multiple of (y - -11)\/((-9)\/(-12)) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, 40, 143, 360, 733, 1304, 2115?\n\"Answer: 7*y**3 - 6*y**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11 - q**3 - 54*q + 29*q + 16*q - 10*q**2. Let o be t(-9). Let r(p) = p**2 - 11*p + 2. Let y be r(o). Solve -y*h = 4 - 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1177688086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11.6971 - 25.3\nAnswer: -36.9971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - -2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**5\/60 - 3*i**4\/8 - i**3\/3 - i**2. Let h be p(-8). Is ((-14)\/1)\/((-4)\/h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8094227 is divided by 1008.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 7*n + 2. Let i be v(-3). Let y(l) = 16*l**2 - 5*l**2 + l**3 - 1 - 4 + 9*l + 14. What is the tens digit of y(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.2714867 decades?\nAnswer: 0.02714867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -272? (a) 2 (b) 17 (c) -2.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.208 and 0.4.\nAnswer: 0.0832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/33? (a) -223 (b) 236 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 150700, 150699, 150698, 150697?\n\"Answer: -a + 150701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 524459740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjxtxj. Give prob of picking 1 h, 1 x, and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 92837?\nAnswer: 464185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/120 + 7*l**5\/20 - 19*l**4\/24 - 23*l**3\/6 + 1326*l**2. Give j(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 9*s - 20 - 73 = 0, 0*p - p + 7*p - 171 = -3*s for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 0*o = 8320. Suppose -2 = 2*a + 4*u, -2*a - u = -3*u - 28. Suppose -a*r - o = -14*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*n**2*t**2 - 2*g**3*n**2*t - 14*g**3*o*t**3 - g**3*t**3 + g**2*n*o*t**2 - 5*g**2*n*o + g*n**2*t**2 - 39*n**2*t**3 wrt t.\nAnswer: -84*g**3*o - 6*g**3 - 234*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 9*w - w**3 + 0*w**4 + 0*w**2 + 0 + 7\/20*w**5. What is the second derivative of t(g) wrt g?\nAnswer: 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 17 = -4*g, g - 2*g = -4*l + 1. Suppose 3*a = -t + 26, -a - 128 = -g*t - 0*t. What is the common denominator of 142\/(-46) + 2 - -2 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2)*(0*p**2 - p**2 + 2*p**2)*(-3 + 2 + 2)*((12*p + 39 - 39)*(-1 - 3 + 6) + 2*p - 8*p + 4*p) to k*p**2 + j + l*p + z*p**3 and give z.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5548416 by -173388.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -148 and -24.31.\nAnswer: -172.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18.63 + -15\nAnswer: -33.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 362.5 rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 10:05 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 154457088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from aiaiaaai?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o = -n + 4, -5*n + 2*o - 46 = 0. Let v be (-1 - n\/12)*-9. Suppose 0 = 3*m - 0*y - v*y - 36, y = -2*m + 21. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 8*d - 196829 - 7834. List the prime factors of d.\nAnswer: 3, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 2*h**2 + 2*h + 1. Let o be u(-3). Solve -2*i + 10 = 2*l, o*l - i - 1 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 - 4500784*t\/3 - 4500785\/3.\nAnswer: (t - 4500785)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.058 (c) 13 (d) 22 (e) 2 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 + 10)\/((-2)\/16). Calculate the remainder when 25 - 1 - (0 - -1) is divided by (p\/6)\/(368\/(-1380)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*g - 7 - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.4 (c) -256 (d) 1.5 (e) 0.5 (f) -2 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.68127 nanoseconds in microseconds?\nAnswer: 0.07768127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.75 (b) 17 (c) -46.783 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**4\/4 - 32555*m**3\/2 + 1059762913*m**2\/4 + 529930290*m + 264973284 = 0?\nAnswer: -1, 32556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 610, 1211, 1812?\n\"Answer: 601*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*i - 5*c, -5*i = -c + 5*c - 16. Suppose -i*p = k - 9 - 43, -3*k + 4*p = -92. What is the highest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*b**3 - 3\/2*b + 15\/2*b**5 + 15*b**2 - 3 - 12*b**4 = 0. What is b?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 smaller than -2868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 27 = -2*g - 5*h, -12*h - 60 = 841*g - 7*h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + g + 197. List the prime factors of o(0).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntk when three letters picked without replacement from {n: 2, t: 2, k: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 2*j - 2. Let f(h) = 6*h + 3*h**2 - 6*h**2 + 7 - 13*h. Let v(x) = -7*c(x) - 2*f(x). Let k(y) = 3*y**2. Give k(v(u)).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237 by -95.\nAnswer: 237\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -4, 5, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3423 - -150?\nAnswer: -3243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 15 = -i + 2*c, -c = -2*i + 6. Suppose -k + i*k = -10. Let o(f) = -4*f - 9. Let b(r) = -r - 2. Let n(w) = 9*b(w) - 2*o(w). Calculate n(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 28 = -5*c, 14 = -2*c + 6*c + 5*w. Suppose -4 = c*k - 34. Suppose -22 = -2*d + k*f, 4*d = -d - f + 109. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 1177\nAnswer: 10\/1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/13, -5, 27506, 2, -4\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 414\/(-46) + (408\/44 - -3).\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12779237638.04 - 0.0398\nAnswer: -12779237638.0798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-24 - -37) + -1 + -1 + 0 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -3.2. Let x = 1 - -1. Let k be (-2)\/((-4)\/5) + -2. What is the nearest to k in x, -4\/3, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 17 = 2*f. Solve 3*i + 13 = -4*c, -f = 4*i + i + 4*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (572\/(-546)*7)\/(60\/48*10\/(-75))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (17\/4)\/(1\/4). Let t = 7 - u. Let b = -16 - t. Is b less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*q**4*r + 36*q**4 + 18*q**3 - 2*q**2*r - 890*q**2 + 8*q*r - 2 wrt q.\nAnswer: 144*q*r + 864*q + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29\/2 of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934004 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41.63 - -42. Let h = -17.47 + v. Round h to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 2)*(8\/(-126) + (-6)\/27).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - k = 2*q - 15, 0 = 2*q - 4*k - 12. Which is the closest to 2? (a) -18 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 19*a**2 + 15*a - 15. Let s(r) = -r**3 - r**2 + r - 1. Let x(c) = -h(c) + 3*s(c). Calculate the remainder when x(15) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/5, -0.08, -1, -0.4 in decreasing order.\nAnswer: 3\/5, -0.08, -0.4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 = -5*x + 4*k, 4450*k - 71 + 2 = -6*x + 4454*k + 49 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 46*f - 49*f + 8, 2*n - 3*f + 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 1282*h + 6375. What is j(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2)*w*w**(1\/3))\/((w\/((w**(-1\/3)\/w*w)\/w))\/(w*w*w\/w**6))*(w*w*w*w\/w**0*w*w)**3*w\/(w**(-3\/5)*w)*w*w\/((w*w**0*w)\/w) assuming w is positive.\nAnswer: w**(161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = -31*l + 225. Let t(s) be the third derivative of -l*s**2 + 0 + s**3 - 1\/30*s**5 + 0*s**4 + 0*s. Find the first derivative of t(g) wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 11*n + 7. Let u(j) = -6*j - 3. Let z(l) = -4*p(l) - 7*u(l). Suppose 0*g + 5*g = -20. Let c(o) = -7*o + 16*o - 4 - 10*o. Calculate g*z(m) + 7*c(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Let r(t) = -t + 1. Let b be r(x). Let q = 44 - b. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 4. Let l(n) be the first derivative of -n - 147 - 1\/2*n**2. Determine h(v) - 2*l(v).\nAnswer: v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1779810 is divided by 2572.\nAnswer: 2558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 7 = 2*r - 0, -5*r - 10 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 87 = 5*h, -h + 6 = -t - 9. What is the highest common factor of h and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46036, -91786, -137536, -183286, -229036, -274786?\n\"Answer: -45750*f - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100011010001110 (base 2) to base 16\nAnswer: -468e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in 0.5, 0.1, 16, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b + 916839*b**3 + 24*b - 916827*b**3.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 317777 (base 9) in base 4?\nAnswer: 232100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(432) - sqrt(12))*-4)\/(-4*(sqrt(600)\/sqrt(10))\/sqrt(10)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 64.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**4 + 8*a**4 + 9*a**4 + (-2*a**2 - 1 + 1)*(-a + 5*a**2 + a) as d + g*a**2 + q*a**4 + i*a**3 + f*a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and (-6 - -10)*(-1)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 13*o**2 - 6*o. Is f(-6) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*m**3 - 10*m**5 - 28*m**3 + (-2*m**3 + m**3 - m**3)*(m**2 + 0*m**2 + m**2).\nAnswer: -14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44616 and 172887?\nAnswer: 1383096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)*-2)\/(3*sqrt(5)*-3))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1019878 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -346712934 - -346712890.8646582. Let l = u + 0.13534238. Let h = l - -43. Round h to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1. Let n(x) = 3*x + 11. Let m(b) = -n(b) + 4*q(b). Calculate m(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 226314 by 33.\nAnswer: 6858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6. Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 8 + (-3 - 0) - 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -530*g**2*m - 2*g**2*q**2 + g**2 - 133*g*m*q**2 + g*m*q + 7*g*q**2 - 2*m wrt g?\nAnswer: -1060*m - 4*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/2)\/(6\/16). Suppose -u = -h*u. Solve -2*g = 6*a - 2*a - 4, u = -2*g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-12) - 54\/(-84)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 10. Let g be i(-7). Suppose -g*m = -5*m - 4*u + 304, 2*u + 748 = 5*m. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 350\/(-385) - (-20)\/22. Which is the closest to g? (a) 2\/177 (b) 3 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18289 - -35900. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22244 = 4*i - 5*c, -4*i = -394*c + 395*c - 22244. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*s - 166 + 140 = 0, -18 - 4 = y + 3*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - 3*i**3 + 2*i**4)*(2*i + 4*i - 2*i + (-4*i - i + 4*i)*(-4 + 4 + 5))*(2 - 5 + 2).\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(35)\/sqrt(5) + -2 + (sqrt(1008) + -3*sqrt(1008))**2)*-1.\nAnswer: -4034 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33789 and 77.\nAnswer: 371679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:24 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159162 and 5412?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2928770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2. Let y(a) = 408359*a. Calculate j(y(q)).\nAnswer: -333514145762*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-2))*k)\/(k\/k**(-7))*k\/(k\/(k\/k**(1\/5)))*k**(1\/7) assuming k is positive.\nAnswer: k**(-282\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-15))\/((-2)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -1 - (-473 + 461).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(252) + sqrt(252))*-2 + sqrt(252))**2 - (-1 + 3*sqrt(175)).\nAnswer: 57*sqrt(7) + 2273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-7))\/g*g)**(-23)\/((g*g**(-2\/25))\/(g\/(g\/(g*g\/(g*(g**3\/g*g)\/g)*g*g)))))**(10\/11) assuming g is positive.\nAnswer: g**(-836\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1343334 - 3?\nAnswer: -1343342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 4*m**5\/5 - 5*m**4 + 16*m**3\/3 + 26. Find w such that n(w) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/2)\/q)\/q**(-1))\/(q**(2\/5))**(9\/4) assuming q is positive.\nAnswer: q**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5284?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -7903.\nAnswer: 3951.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109240479?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108686.\nAnswer: 2, 31, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 202*s - 92. What is u(-2)?\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*p**3 - 93*p**3 + 310*p**3.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13036434, -13036433, -13036432?\n\"Answer: t - 13036435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*d + 570*d + 24 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (775\/3875)\/((2\/50)\/(-1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 24117*a - 481 - 24117*a.\nAnswer: -2*a**2 - 481","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390, -1576, -3546, -6294, -9814, -14100, -19146, -24946?\nAnswer: -31494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 3*a + 123, a - 20 = -44*t - 14 - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -12. Let d(i) = 2*i - 2. Is 10 a factor of d(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w = -24*w + 6, 2*g = -4*w + 18. Is ((-105)\/(-70))\/((30\/9764)\/g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663193058.\nAnswer: 2, 11, 30145139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 73\/3. What is the second smallest value in v, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25392874?\nAnswer: 2, 13, 23, 42463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 5*t**2 - 7*t + 2. Let y be c(5). Let n = -12 - y. Suppose 0*f + 5*f - 405 = 0. What is the remainder when f is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3332 + -1196. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 2\/7, -4, -0.4, -0.5, 486?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2831050, 2831051, 2831052?\n\"Answer: k + 2831049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 2245 - 2250, 5*z = 2*y - 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -486dd (base 14) in base 9?\nAnswer: -288702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) + (6*2*sqrt(400) - sqrt(400)) + sqrt(400) + sqrt(400) + sqrt(400) - sqrt(400) - sqrt(400))\/(sqrt(800)*-2*2).\nAnswer: -13*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2347070 or 2347072?\nAnswer: 2347070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 632012323 and 41?\nAnswer: 632012282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + 183*c**2 - 37*c**2 - c**2 - 7*c.\nAnswer: 145*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*x + 351 = -251*x + 508*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -13*h**2 - 5*h + 4. Let o(p) = 7*p**2 + 3*p - 2. Let y(s) = 6*b(s) + 11*o(s). Suppose 7*n - 2*n = -20. Let q be (n - 0)*(-2)\/4. Give y(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(sqrt(117) + sqrt(13) + -2 + (sqrt(39)\/sqrt(3) + -5)**2)*-2.\nAnswer: -432*sqrt(13) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*i + 10 = 0, x = -4*x + 4*i - 25. Let b(v) = -6*v**2 - 4*v**3 + 2*v**3 + v**3 - 4*v + 7. Let z be b(x). Solve 4*u + 4 = z*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-5)\/(-3))*-11. Let m = 41501\/2 - 20752. Sort -6, 0.1, c, m.\nAnswer: -6, c, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 635*l + 111. Let b be c(2). Let n be (0 + -1)*-106*23. Let w = n - b. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11192\/345 - 26\/115. Let z = f - -32. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4 - 88*h**3 + 1254*h**2 + 9684*h + 15552 = 0. What is h?\nAnswer: -54, -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -52, -83, -112, -139, -164?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13*o + 2. Let g(w) = 1. Give 4*g(m) - i(m).\nAnswer: 13*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 16) to base 3.\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 23*p - 40. Give q(4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175427.\nAnswer: 3, 11, 31, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2. Let o = 215 - 203. Let s(c) = -o*c + 12*c - 6*c**2 - 36*c**2. Calculate i(s(f)).\nAnswer: -3528*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -720736*k**2 + 2 + 720736*k**2 - 2 - 6*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/17 in -4, -3\/5, -0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1815 divided by 33?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-3 - -5) - (-6 - 0 - 47).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 22 = -5*j. Suppose 2*k - 4*k - j = 0. Let g be 1\/(k\/6)*-4. Solve -4*r - p + 2*p + 15 = 0, 3*r = 4*p + g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Let o(r) = -r**2 + r - 7 + 6*r + 2*r. Let g be o(7). Let h(b) = 4*b + g*b - 5*b. Determine v(h(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:33 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 - 1808*m + 459888.\nAnswer: (m - 6968)*(m - 264)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -9*c**5\/5 + 7*c**4\/8 - 5*c**3\/6 - 158*c**2. Find the second derivative of u(m) wrt m.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1270)\/(-330) - 2\/(-6)) + -4. Let m(i) be the first derivative of -2 + p*i**3 + 8\/11*i**2 + 8\/11*i. Suppose m(a) = 0. What is a?\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7426 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z - 4*z)*(0 - 5 + 1) - 8*z + 6*z + 7*z.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 720249.1.\nAnswer: 720249.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:51 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((2475720\/138)\/(-156))\/((-5)\/2)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1384619 or -1?\nAnswer: 2\/1384619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*2*(-2)\/(-12). Suppose -z*c = -c + 2. Is ((-153)\/(-4) - c)*4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (2 - 0)) + -1. Let b = -26 + 16. Let w = b + 7. Is f less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -27 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(-3 - (-1 + -1)). Solve 4*v = t + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 395633, 791265, 1186897, 1582529, 1978161?\n\"Answer: 395632*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1020 - -1018. Which is bigger: k or -5076?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m + 167. Calculate c(6).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 2*k**2 + k**3 + 43 - 1\/2*k**4 - 3*k. Suppose 0 = -5*y - 20, 3*y - 4*y + 5 = 3*q. What is g(q)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106.015 - -106. Let o = x + 0.015. Let k = 6.5 + -7. Sort 1, k, o in decreasing order.\nAnswer: 1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 52 + 854*u**2 - 846*u**2 - 4.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-15))\/(2\/1))\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9588918\/121 or 79248?\nAnswer: 79248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-28) + (-5)\/20. Let g = 0.46 - 0.16. Let v = 7.31 + -12.31. Sort v, z, g.\nAnswer: v, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -28*a + 23*a + 20, -3*x - 17 = 2*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.9459l to millilitres.\nAnswer: 10945.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -345\/7 (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6686764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4316)\/(-69720))\/((-78)\/24)\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1537779\/5428885 - -109\/385. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*o**3 - 1675*o**2 - 2*o - 3822675 wrt o?\nAnswer: -612*o - 3350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -5. Let r(m) = -m - 3. Let h be r(s). Let q be 4959998\/h + 10\/20. Round q to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 12:54 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 19*a - 66. What is the remainder when 130 is divided by t(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to 462\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2921 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253, -433, -613, -793?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d\/(d*d**(-9))*d*d)\/d)\/d*d*d*d**(2\/27))**(-23) assuming d is positive.\nAnswer: d**(-7498\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -612*p + 616*p = -3*m + 140, 4*m = 2*p - 48 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/49 in -9, -1\/8, -57.3, -0.5, -3\/7, 2\/11?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 8 = -40. Suppose -2*o = -d*o. Suppose o = 4*q - 19 - 41. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100541011 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5 - 1350*c**4 - 8280*c**3 = 0. Calculate c.\nAnswer: -6, 0, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21*(-18)\/(-21)*5. Suppose 230 = 2*t - 4*d, t + 3*d = -0*d + b. What are the prime factors of t?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**4\/12 - 5*z**3\/6 - 5*z**2 + 5*z. Let d be q(-7). Let n = d + 50. Calculate the remainder when 76 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 + q**4 - 5*q**4 + (9*q**2 + 45*q**2 - 17*q**2)*(q**2 - 4*q**2 + 2*q**2).\nAnswer: -38*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132104348, -132104350, -132104352, -132104354, -132104356?\nAnswer: -132104358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 - 356*b - 274*b + 764*b in the form p + a*b and give a.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -1)*26\/(-65)*(-764760)\/(-48) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*s + 3*s. Suppose t - 4*x = 21, 5*t = -s*x + 16 + 43. What is the remainder when t is divided by 3\/(1 + (-12)\/21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 678?\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1725770?\nAnswer: 2, 5, 19, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47531\/4 + 11955. Let f = -2011\/28 + u. Find g, given that f*g - 2\/7 - 1\/7*g**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4183, 8368, 12553, 16738, 20923, 25108?\n\"Answer: 4185*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 + -107. What is the highest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.2 - -18.3. Let h = c + -32.22. Round h to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3*i - 2*i + (-3*i + 4*i - 3*i)*(-3 + 2 - 1))*(0*i**2 + 0*i**2 - 2*i**2)*(-1 + 2 - 2).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 526*k**5 + 2*k**2*z**3 + 36*k*z - z**3 - 5*z wrt k.\nAnswer: 10520*k**3 + 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d = -3*j - 47, 4*j = -5*d - 64. Let g(i) = -i**2 - 21*i + 14. Let u be g(j). What is the remainder when (1 - 4\/(-2)) + 196\/u is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*z - 162 + 50 = -y, -5*y - 2738 = 69*z - 126 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 + -150. What is the nearest to -5 in 1, -0.5, w, 0.33?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.66 - -0.34. Which is the fourth smallest value? (a) 3\/4 (b) -0.41 (c) i (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, s: 2, f: 1, u: 2, d: 1, n: 1}. What is prob of sequence fud?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.1, -0.2, 0.06, -5802, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 33*p**2 - 5*p + 10. Let i be r(-4). What is the units digit of 4\/(-20) + i\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + (10 - (38 - (7 - 8)))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 15, e: 3}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55, -40, -9, 44, 125, 240?\n\"Answer: u**3 + 2*u**2 + 2*u - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -13. Let t(q) = -2*q + 6. Let f(g) = g - 33. Let s(r) = 11. Let x(y) = -3*f(y) - 8*s(y). Give p*t(i) - 4*x(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3322 and 122017362.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 442432552*g**2 - 737093615*g?\nAnswer: 884865104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/738520 and 69\/36926?\nAnswer: 738520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31807?\nAnswer: 17, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1458 (base 10) to base 14\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 487 to the nearest ten.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 102?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -26, 0.2, 3\/562, 2 in decreasing order.\nAnswer: 4, 2, 0.2, 3\/562, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-6) - 299\/(-78). Let o be (1 - 0) + (-8 - -7) - -16. Suppose -t = -5*t - 2*l + 556, -o = a*l. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + n = 82, -5*n - 18 - 4 = -2*x. Let a(z) = -z - 3. Let q be a(-5). Factor -9 + j - 4*j + 15*j**q - 3*j - x*j**2.\nAnswer: -(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 12*u - 13. Let c be x(-7). Suppose k = 3*k - c. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 684 and 90?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(114) + (-3*-1*sqrt(114) - sqrt(114)))\/(sqrt(24)*2) - (4 + (sqrt(114)*1*6)\/(5*(sqrt(6) + sqrt(54)))))**2.\nAnswer: -27*sqrt(19)\/5 + 15939\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 6:50 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -44. Let k = -10 - -14. Which is the nearest to -0.04? (a) 2 (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/64 and -9\/10816.\nAnswer: 10816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a microsecond in nanoseconds?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - 5*t**3 + 0*t)*(1 - 2*t - 1 + (t - t + 2*t)*(5 - 3 + 0)) to c*t**3 + p*t + s*t**2 + i + w*t**4 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -28, -16.46?\nAnswer: -16.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 20*x - 59. Calculate the remainder when i(6) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1939*t + 29418 - 45331 = 214*t + 98196 for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 121121 (base 4) to base 14\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 184. Let c be -5 + l\/15 + -5. Factor 0*n**2 + 0 - c*n**3 + 0*n.\nAnswer: -n**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.105794342 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 + 111 + 16)*(2*w - 7*w**2 + 2*w**4 + 7*w**2) + 2 + 4*w**4 - 1 - 3*w**4.\nAnswer: 479*w**4 + 478*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 124\/(-6)*(583720\/(-448) - -1). Let u = 26910 - q. Find the common denominator of u and -57\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 154 + 3*h**2 - 99*h**3 + 95*h**3.\nAnswer: -4*h**3 + 3*h**2 + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -460, -914, -1372, -1846, -2348?\n\"Answer: -2*n**3 + 10*n**2 - 470*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 547\/300 + -88\/75. Let c = 1160101\/67578 + -2\/11263. What is the common denominator of v and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and -3\/139 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0227 - -0.0773. What is the closest to 2\/3 in 0.5, d, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -524 and -548 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.46 - -7.34. Let z = 5.8 - x. What is the closest to z in 0.5, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 2*n + 20756 - 20748, 4*c + n + 4 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96005319.\nAnswer: 3, 149, 397, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 11 = -1, 0 = -5*l + c + 9. Let x be 16 - 12 - (-3 + l - -4). Solve -n + 1 = 0, -2*n - 18 = x*p + 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -77498, -143860, -210220, -276578, -342934?\n\"Answer: n**2 - 66365*n - 11134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - -0.7. Let q = -1.4 + r. Let f = q - 0.5999976. What is f rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((4\/(-3))\/(-4))\/((-5)\/(-3705)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-77)*-4*-7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2)*(-o**2 - 4*o**2 + 3*o**2) - 2 + 2*o**2 + 2)*(-115 + 249 + 254).\nAnswer: -776*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -91 (c) 12 (d) -1\/13 (e) 0.8 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 = -5. Suppose 3*p - 3 = n, -1 = -2*p - 2*n + 1. Let i = p - -4. Put i, -1, b in decreasing order.\nAnswer: i, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 54\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**4 - 65*s**3 - 480*s**2 + 540*s = 0. What is s?\nAnswer: -6, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5555?\nAnswer: 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -0.9, -9, 1, 0.13?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -249 + 263. Solve 4*n - a = -2*h, 5*n - 2*h + 8 = 7*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 292659441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20)*(-10)\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22080673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1887 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 14. Suppose -3*z - r*z = 7100. Let v = -1011 - z. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, 44, 115, 224, 377, 580?\n\"Answer: g**3 + 10*g**2 + 2*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-18 + 17)) + (15 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*w + 10, -2*w - 8 = -4*q + 2*w. Find the second derivative of -14*b**3 - 3 + 4*b + 12*b**q + 3 wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.154 - 90.054. Let b = y + 93. What is b rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -14)*6\/7. Let h be 8\/r - (-4)\/(-6). Let t(m) = 4*m**2 + h*m**3 + m**3 - 4*m + 2*m - 5. Calculate t(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 87316 and -0.4.\nAnswer: -34926.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -75*l. Let a(p) be the first derivative of 7*p**3 + 1279. Determine f(a(q)).\nAnswer: -1575*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10692 and 10692?\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2802824 and 1184.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s = 850000. What is s rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 7*n - 4. Suppose -3*q = -3*t - 21, 4*q + 2*t = -3 + n. Suppose d + h - 19 = -2*h, 2*d + q*h - 38 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 less than -14437848?\nAnswer: -14437938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 35*b - 1680. Let p be c(48). Let l = 14 + -8. Let x(k) = -l*k + p*k + 39*k. Let a(g) = -g. What is x(a(j))?\nAnswer: -33*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, 334, 492, 650, 808?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -82?\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 37. Suppose -23 = -5*d + 2*p, -3*d - 2*p = 2 - 3. Suppose -d*w + 0*w + 33 = 0. What is the remainder when c is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -1a2?\nAnswer: 1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 5*d - 12. Let v be q(-7). Calculate the common denominator of -31\/8 and 46*2\/(-34) + (v - -1).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3529a (base 11) to base 15\nAnswer: 10154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 8 = t - 5*i, 0 = t + 3*i - 8. Suppose 4*c + 4 = t*c. Differentiate c + 2*y**2 - 6 + 3 with respect to y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*z = -64 + 101, 4*z + 1 = s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c**2 + 40*c - 22. Let y be i(23). Let w = y - -11415. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.089 - -0.089. Let h = w - -1.9928. Round h to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 254 + 10*k**2 - 6*k**2 - 28*k**2 wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.49, -3, 4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2. Let i(y) = 19591*y. Give i(j(w)).\nAnswer: 39182*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -202 + 213. Solve 0 = 5*c - 12*d + j*d + 30, -40 = 5*c - 3*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 9*p - 72 = 11*h, 2*h + 3*h - 65 = -5*p for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 5. Suppose 2*i + 3*i = 25. Calculate h(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -72*c**2\/5 + 14*c + 19618\/5 = 0.\nAnswer: -577\/36, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 = -4*w, 5*v + 4*w - 8 = w. Suppose 0 = 4*t + 3*r + 5 - 13, -2*t + 2*r + 4 = 0. Suppose v*f - t = 6. Solve 2*c + 2 = -f, 2*g - 8 = 5*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = j - 13, 3*o - 22 = 36*j - 38*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*m**4*x - 7*m**3*x**3 + 5*m**3 + 2*m**2*x**2 + 26*m**2*x - 2*x**3 - 65*x wrt m?\nAnswer: 552*m*x - 42*x**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 844 = -4*n, -5*n - 136 = -5*q + 929. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 55\/(2 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from ssssyyyssyyasssys?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1386)\/(-357) + (-6)\/(-51). Suppose 2*i - 3 = 3. What is the third derivative of -9*d**i + 19*d**2 - 11*d**o - 42*d**2 + 9*d**3 wrt d?\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2372178.9 seconds?\nAnswer: 39536.315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -18729*d - 187269. Give l(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1045 - 125. Calculate the remainder when u is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -208.804 and 0.21.\nAnswer: -43.84884","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-100)\/(-7) - 6\/21. Does 7 divide y\/(-1)*(-56)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1276876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43464746 is divided by 891.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116*d*h**2 - 202079098*d*h*w**2 + 3*d*h - 32961*d + h**2*w**2 + h + 1 with respect to w.\nAnswer: -404158196*d*h*w + 2*h**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.093 - -0.09385. What is i rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157 + -156.881. Let z = r + -0.065. Let w = 0.0539979 - z. Round w to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8470 - 840 = 14*l. Calculate the highest common factor of 436 and l.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(-352 + 352 - 155*k) to s*k + z and give s.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*sqrt(539))**2.\nAnswer: 210*sqrt(11) + 4876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -141598*j**4 - 156420 wrt j?\nAnswer: -566392*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*n**4 + 40*n**5 + 33*n**5 - 71*n**5 + (-4*n**2 - 3*n**2 + 5*n**2)*(-55 + 55 - 9*n)*(0*n + 0*n - 2*n**2).\nAnswer: -34*n**5 + 14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 1143475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 plus -1933326?\nAnswer: -1933327.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9))\/(895\/1074).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -20. Let h = o - -17. Suppose -r + c + 7 + 1 = 0, -20 = 5*c. Put h, r, 1 in increasing order.\nAnswer: h, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -6, -7, -3\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8467 - 10663 = -12*h. Calculate the remainder when h is divided by 96.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20420646 + -10920646. What is f rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577 = 10*s - 3*q + 587, -4*s - 80 = -5*q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 13*q = 12*q + 3077, 0 = -5*q + 10. What are the prime factors of z?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/126480 and 67\/348564.\nAnswer: 118511760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 353947.1 micrometers in millimeters?\nAnswer: 353.9471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -106, -58, 34, 182?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = s - 613. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q - 9. Let s be p(-3). What is the tens digit of (s - -3) + (-62)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 13. Suppose -4*u - 8 = -2*a, 0 = -5*a + 5*u - 12 + 42. Calculate the remainder when f is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95927.\nAnswer: 13, 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*o + 311*o = 11914899. What are the prime factors of o?\nAnswer: 109, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*i**3 - 9\/4*i**2 + 9\/4 + 1\/4*i = 0. What is i?\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 37 + 16. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 144 = 258. Let w = -39 + j. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4\/30 - v**3\/5 + 4*v**2\/5 + 10*v - 15. Let t(s) be the first derivative of h(s). What is x in t(x) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/654 and 25\/14.\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-9)*1140\/(-8). Let h = k + -45. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10120809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -461000 to the nearest ten thousand.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 754*m - 1500.\nAnswer: -2*(m - 375)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/40)\/((-4)\/(-40)). Which is the nearest to 0.1? (a) 0.2 (b) -2\/7 (c) -0.41 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.05 - 4.7. Let v = -0.35 + p. Let u = 24.2 - 24. Which is the closest to u? (a) 4\/9 (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75158 and 146.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**2 - 7*h - 32*h**2 + 7*h in the form b*h + j + m*h**2 and give m.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(128) - (-2 + (sqrt(128) - (sqrt(128) - (2*sqrt(128) + sqrt(128)))))) + 2 + 1*(sqrt(128) - 1*sqrt(128))*-6)*6)**2.\nAnswer: -23040*sqrt(2) + 95040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -275400 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine sixteenths of a kilometer?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 225\/7 - 30\/7*i + 1\/7*i**2.\nAnswer: (i - 15)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -606866.478 to the nearest one thousand.\nAnswer: -607000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134630979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*n - 42 = -30, 0 = 21*z - 3*n + 186 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 89750, -2\/5, -2\/457?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*h**3\/7 + 322016*h**2\/7 - 12784556*h\/7.\nAnswer: -4*h*(h - 16061)*(5*h - 199)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 712 minutes after 4:41 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**3 - 5*k**2 - 8*k - 11. Let f(a) = 8*a**3 + 16*a**2 + 20*a + 30. Let x(g) = -4*f(g) - 11*j(g). Let q = 11 - 3. Give x(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1709, -1674, -1611, -1514, -1377, -1194?\n\"Answer: x**3 + 8*x**2 + 4*x - 1722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3156 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-3))\/((-14)\/(-63) + 0). Let m(k) = -k**2 + 10*k - 21. Let n be m(j). Suppose -95 = -n*w + 79. What are the prime factors of w?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 31, 28, 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 6\/286421 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/11, 3, 1116\/7, -1\/9?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28724, -28680, -28648, -28634, -28644, -28684, -28760?\n\"Answer: -f**3 + 51*f - 28774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + 0 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -2*n**2 + n + 32. Let i be z(2). Is (597\/2)\/(i\/(-14)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 308, 465, 624, 785, 948?\nAnswer: 1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 + 9*r - 5. Suppose 0 = 9*g - 3*g - 192. Suppose 8*d - g = -0*d. Let k(t) = -2*t**2 + 4*t - 2. Calculate d*x(m) - 9*k(m).\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125\/25 + (6498 + -2)\/2.\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 31 (b) 278 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**4 - v**4 + v**4 - v**4 - v**3 + 12*v in the form h*v**3 + l*v + n*v**2 + c*v**4 + z and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16402753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.7201 and -345.7.\nAnswer: 3014.53857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/(-6) + (-12)\/(-8). Let d be 4\/(-12) + (-1 - (-8)\/y). Suppose d = -8*n + 436 - 4. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3170, 6507, 10004, 13661, 17478, 21455, 25592?\nAnswer: 29889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(168\/(-8)*1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 166.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 312.7 - 320. Let y = -7.2 - k. Which is the closest to -2? (a) -3 (b) y (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001001101 - -110?\nAnswer: -1001001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 4*y - 11. Let i be m(-5). Let r be 8\/(-12)*i - 2. What is the second derivative of -7*t**4 - 32*t + r*t**2 - 2*t**2 + 16*t wrt t?\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 7*g**2 + 4*g + 4. What is h(5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -349993064*u + 54655849?\nAnswer: -349993064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.035 * -0.10776\nAnswer: 0.0037716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*i**3 + 21*i**3 + 18*i**3 + 27*i**3 + 28*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 256278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**3 + 13*h**2 + 15*h - 15. Suppose o + 18 = a, -a + 46 = -2*o + 3*a. Let w(p) = -2*p**3 + 6*p**2 + 7*p - 7. What is o*w(j) + 6*f(j)?\nAnswer: 2*j**3 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -21*r - 5. Let l(x) = 5*x + 1. Let k = 35 + -26. Give k*l(d) + 2*q(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -11, -14, -9, 0, 78.\nAnswer: -14, -11, -9, -2, 0, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17331 is divided by 516.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1524, 1528, 1534, 1542, 1552, 1564, 1578?\nAnswer: 1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*q + 106, 42 + 162 = 4*j - 4*q. Let a = 1377 + j. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2551 (base 8) to base 16.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(7*14\/294)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + 305?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 - 3*k**2 + 3*k - 1. Let p be f(-4). Suppose 5*l - 76 = -2*q, 4*q = 5*l + 25 + p. What is the units digit of 7\/q + 43\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-90)\/198*276\/(-345). Factor 0*q**3 + u*q + 6\/11*q**2 + 0 - 2\/11*q**4.\nAnswer: -2*q*(q - 2)*(q + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 26*i**3 + 9*i + 20. Let b = -25 - -14. Let x(j) = 5*j**3 + 2*j + 4. Let n(l) = b*x(l) + 2*k(l). Is n(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*y - 6, -3*y + 2*g = -2*g + 2. Let v be (2 - (y - -73)) + 4. Let s = 136 + v. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -344 - -0.0507.\nAnswer: -343.9493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55698, 55701, 55704, 55707?\nAnswer: 55710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Let o(y) = 7*y - 4. Suppose -i + 5*i - 24 = 0. What is the remainder when o(h) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**4 + 3*s**4 - 6*s**4)*(-20 - 2 + 38)*(-3 + 1 - 6) to n + j*s**3 + y*s**4 + t*s + a*s**2 and give y.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5988.093 nanometers?\nAnswer: 0.000005988093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.299658um in kilometers?\nAnswer: 0.000000008299658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10\/13 + -56\/39. Let o = 15.21 + -17.19. Let q = o - -1.48. Put 4, u, q, 1\/3 in decreasing order.\nAnswer: 4, 1\/3, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*f - 12 = 0, -3 = -n - 4*f + 13 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-7)\/v)\/(v\/v**(-1\/8)))\/(((v\/v**3)\/v)\/((v**4\/v*v)\/v)))\/(((v**(-2\/7)\/v)\/v)**(-4))**(3\/11) assuming v is positive.\nAnswer: v**(-3461\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2303144 (base 6) to base 8.\nAnswer: -345150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -5*h**3\/9 + 745*h**2\/2 + 2240*h\/3 + 815. Factor x(y).\nAnswer: -5*(y - 448)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57427 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 15217902 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide -2*(-15)\/24 - (-5)\/(-40)*-249638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnb when three letters picked without replacement from nbbnbbnnvnnv?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19)\/((-437)\/138) - 2*229. Which is smaller: m or -453?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 98.038566 to 0 dps.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370391 less than or equal to 1370391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12 - (-7 + 2) - -20. Suppose 6*s - y = 23. Suppose 0 = 2*w - 6*w + 64. Solve 5*v + w = s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2. Let h be (0 + b)*(2 - 1). Let g be 32\/(-320)*(2 + 1) - 611\/130. Sort g, h, -3 in decreasing order.\nAnswer: h, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**16)\/(l\/(l**(-2)\/l)))\/((l\/(l**(2\/7)\/l))\/l)**(-1\/4) assuming l is positive.\nAnswer: l**(-499\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, r: 3, f: 2}. What is prob of picking 1 r and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 18487892*a - 9243947*a - 9243954*a. Let w(n) = 11*n + 4*n - 5*n. Let x = 14 - 20. Determine x*w(o) - 7*q(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**4\/4 - 32*w**3\/3 - 89*w**2\/2 - 55*w - 210. Let q be u(-29). Solve 12 - 3 = q*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9507 divided by 7652.\nAnswer: -9507\/7652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 11*h = 284, 5*h + 34 = -1256*y + 1257*y for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*a - 23738 = -15964 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(77) - (-4*sqrt(77)*-2 - sqrt(77)))\/(sqrt(14)\/(3*(sqrt(72) + sqrt(2)))).\nAnswer: -273*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 237*a**2 - 483*a**2 + 232*a**2.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*i - 106*i - 301 + 51. Which is smaller: -97\/37 or i?\nAnswer: -97\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 116, 214, 306, 392?\n\"Answer: -3*u**2 + 107*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 39.97682?\nAnswer: 7.995364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g. Calculate the remainder when c(-7) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 107331240 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 130510, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.645189?\nAnswer: -0.645189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/13)\/(k\/(k**24\/k)) assuming k is positive.\nAnswer: k**(287\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21*(4\/6 - 1). Let y be (u\/(-14))\/(1\/2). Suppose -y - 13 = -a. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.45 - -0.95. Let q = 2888 - 2887.9. What is the third smallest value in q, -0.1, j, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-1725)*-25*2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3453 = 7*q - 15619. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(14)\/sqrt(7)*-6*-1 + 5)**2.\nAnswer: 60*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**4\/5 - 18*m**3\/5 + 28*m**2\/5 + 162*m\/5 + 72\/5 = 0.\nAnswer: -4, -3, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l. Let x(c) = -602*c + 3951. What is v(x(d))?\nAnswer: -2408*d + 15804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104\/61 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3035465 - 5?\nAnswer: 3035460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2302 and 7346.\nAnswer: 8455246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-14)*((-2899)\/234 - -12) + (-4)\/30?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/(1 + -4))\/(-2). Let r be 271296\/(-112) + 2\/7. Is r\/c - 6\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, -2670\/13.\nAnswer: -2670\/13, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177 divided by -59.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230063, 230047, 229997, 229895, 229723, 229463?\nAnswer: 229097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + 39. Calculate the remainder when 105 is divided by y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**3\/3 + 21748*n**2 = 0. Calculate n.\nAnswer: -16311, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -20*u**2 - 17*u + 29. Let p(z) = 7*z**2 + 6*z - 10. Determine 17*p(g) + 6*q(g).\nAnswer: -g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6445, -9597, -12749, -15901?\nAnswer: -19053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a + 7. Let q be x(18). What is the second derivative of -15*h - 48*h**5 - q*h**5 + 102*h**5 wrt h?\nAnswer: 220*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*((-4)\/2 + 1). Let o(i) = 2*i - 7. Let w be o(m). What is the units digit of w\/(-12) + (-195)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.8 - 27.8. Suppose 0 = -v - 2*v - 45. Let z be -3 + 2 - 5\/v. Which is the fourth smallest value? (a) z (b) -3 (c) u (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from ajlaoee.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(28)\/(2*sqrt(7))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -557.\nAnswer: -2\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 309.231.\nAnswer: -309.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-15))\/(6\/(-15)))\/((-24)\/24).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6024 - -9945. Which is smaller: w or 3920?\nAnswer: 3920","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.03 + -0.33. Let p = -1.9 + j. Let k = 53\/2 - 27. Which is the closest to -1\/4? (a) k (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.3, 5, -4, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 - 68*k + 3 + 2 + 9*k.\nAnswer: -59*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, c: 5, m: 8, g: 1, d: 2}. Give prob of sequence ddmc.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 428 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2ca4e9 (base 16) to base 12\nAnswer: b91209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 6:45 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 435453645 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 4*v = -54, 2*k - 5*k = 3*v + 9 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/6 + v**3 - 10*v. What is the least common multiple of c(-4) and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/14)\/(62*(-125)\/(-162750)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2208, -2225, -2250, -2283, -2324, -2373?\nAnswer: -2430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-4)*m**(-2\/17)\/m)\/(((m**4\/m)\/m)\/m**(3\/4))*m*m\/(m*m\/(m\/m**(1\/8))*m)*m*m*m**(3\/4)*(m*m*m**(-2\/7)*m*m)\/(m*m\/m**7) assuming m is positive.\nAnswer: m**(6637\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 2\/15, 2, -144, 31\/2 in decreasing order.\nAnswer: 31\/2, 5, 2, 2\/15, -6, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 24 = -2*k. Let m(r) = -23*r**3 - 1239*r + 620*r + 619*r + 14 + 24*r**3 - 9 - 6*r**2. What is m(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13*w**3 + 9*w**2 - 4905*w + 81. Let z(h) = 6*h**3 + 4*h**2 - 2452*h + 36. Determine -4*m(v) + 9*z(v).\nAnswer: 2*v**3 - 2448*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y**2 - 19*y + 10*y**2 + 11*y - 14*y to the form t + f*y**2 + a*y and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13076, 0.2, -136?\nAnswer: -13076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27322 and 228?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138 at most as big as 1136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 15. Suppose -304 = -k - s*k. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - 110*w**2 - 32*w - 107. Give l(37).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 450624 rounded to the nearest 10000?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4816 = 7*q + 287. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3406125 and 49\/90830?\nAnswer: 6812250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - g = 65 + 33 + 82 - 139, -44 = 2*j + 4*g for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 6:14 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c + 112. Let m(k) = -2*k + 2. Let u(w) = i(w) - 2*m(w). What is u(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3967 and 1007899657.\nAnswer: 3967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (6 + 3 + (3 - 6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 3*u + 5, 5 = -5*p - 0*u - 5*u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/485185381 or 0?\nAnswer: 2\/485185381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 21*k - 18408 = 0. Does 29 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 901374.\nAnswer: -901374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 5481*d**3 + 214*d**4 - 4*d**2 - 1 - 5481*d**3 to the form p*d + f*d**4 + q + t*d**2 + r*d**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*x + 250*x + 856 = -2728 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - 0. Let h = a - -11. Let m(g) = g**3 + 3*g**2 + 2*g + 3. Calculate m(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -219387*v**3 - 164030*v**2.\nAnswer: -1316322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315244, 315242, 315240, 315238, 315236?\nAnswer: 315234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1842*p + 16128. What is g(-8)?\nAnswer: 1392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*g - 117*g + 4171 = 16825 + 6930 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 + 3 = 0. Let v(h) = -h - 7. Let r be v(-13). Suppose -2*a - r = a. Sort a, 1, k.\nAnswer: k, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/28 - (-60)\/14. Let z = -114 - -118. Let k be ((0*z\/(-16))\/(-1))\/3. Solve i - 3*i + a = k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 17*r**2 + 31*r - 255. Let u be p(-5). Determine j, given that -u*j**3 - 3 - 51\/2*j + 87\/2*j**2 = 0.\nAnswer: -1\/10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 586, 1321, 2350?\nAnswer: 3673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16034 is divided by 446.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 168 divided by -2\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.29168 to two decimal places.\nAnswer: -20.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8648\/3085 + 2\/617. Let g = 71\/20 + d. Let s = 94 + -93. Sort s, -6, 4, g in decreasing order.\nAnswer: 4, s, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + 0*1\/(-5 - -3). Does 61 divide 608\/5 + 2\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 1:53 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 69. Let y(t) be the third derivative of t**5\/30 - 239*t**2. What is y(r(b))?\nAnswer: 2*b**2 + 276*b + 9522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*n = 11244, -2*j - 186*n + 7526 = -190*n. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 41 = -54 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29264425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 10*z**2 - 5*z - 4. Let g be s(-4). List the prime factors of (g + 17 - 20\/6)*-15.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1359 - 1359. Put 2, -52, l in decreasing order.\nAnswer: 2, l, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2521, 11459, 26391, 47311, 74213, 107091, 145939?\n\"Answer: -b**3 + 3003*b**2 - 64*b - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.986808 nanograms?\nAnswer: 0.000000000000001986808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 142226, 142221, 142216, 142211?\n\"Answer: -5*v + 142231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*n**2 + 4*n**2 - 8*n**2 + (-3*n + 2*n + 0*n)*(-n + 0 + 0).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 10. Let l be f(-7). Let s(y) = -y**2 - 4*y + 2. Let j(g) = 2*g**2 + 9*g - 5. Let q(n) = -2*j(n) - 5*s(n). Is q(l) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -33) + (-7 - 36).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*i**3 + 2*i**4 - 3*i**3 + 3*i**3 + 0*i**3 to f*i**3 + u*i + n + h*i**2 + m*i**4 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 21*y**2 - y - 27. Let x be j(-21). Let k(s) = -4*s - 19. Let m be k(x). Solve -2*w - 2*f = 3*w - 6, -5*f + 15 = -m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(30\/(-6)))\/((-24)\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.815 - 2.265. Is -0.03 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 30 = 5*u. Let g be (-28)\/u + (-6)\/10. Factor -8\/11*v**g - 14\/11*v - 50\/11*v**3 - 38\/11*v**2 - 2\/11 - 32\/11*v**4.\nAnswer: -2*(v + 1)**3*(2*v + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/23? (a) -5 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 192.79424 and -3.\nAnswer: -578.38272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-1 + 2)*-1. Let w(p) = 5*p**2 + 3*p. Let i(l) = -6*l**2 - 4*l. Calculate d*w(b) - 3*i(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -71.6 and 257399?\nAnswer: 257470.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, e: 2, c: 1, r: 1}. What is prob of sequence reac?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b - 14. Let u be o(-4). Suppose -5*c + u = 6*n - 3*n, 2*n + 6 = 0. Find the third derivative of -15*f**2 - 14*f**3 + 16*f**c + f**2 wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n**3 - 45939*n**2 - 88036260*n - 395233452 = 0. What is n?\nAnswer: -3826, -9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1836386822?\nAnswer: 2, 19, 61, 792229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9118013ng to grams.\nAnswer: 0.0000000009118013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-375096)\/24)\/((-7)\/14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 285603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*((sqrt(1216) - (sqrt(1216) + -2)*-2) + sqrt(1216)))**2 - ((sqrt(304) + 1*(0 + sqrt(304)))**2 + 5*(sqrt(304)*-1 + sqrt(304))).\nAnswer: -230400*sqrt(19) + 17523584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 14 + 2*j**3 + 3*j - j to m*j**3 + t*j + d*j**2 + y and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -35. Let x be (0 + -1)\/(1\/o). Let d(f) = -3*f**2 + f + 3. Let n(v) = 4*v**2 - v - 4. Calculate x*d(k) + 4*n(k).\nAnswer: k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -7.8 and -0.077 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.256377 - 0.094403. What is s rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p**2 + 5*p + 5. Let f be (8\/16)\/((-1)\/(-10)). Let d(q) = 4*q**2 - 3*q - 3. Let b(v) = f*d(v) + 3*x(v). Calculate b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 1, e: 3}. What is prob of picking 1 s and 2 e?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, 5, -2 in decreasing order.\nAnswer: 12, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 - 46*t + 1348. Let k(g) = -4*g**2 - 29*g + 898. Calculate 8*k(d) - 5*r(d).\nAnswer: 3*d**2 - 2*d + 444","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341828 and 1940.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5 + 4*o**4 - 4*o**3 - 4*o**2.\nAnswer: 4*o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -10 + x + 7 - 5 - 10. Let j be m(13). Let v(y) = -y - 2. Let z be v(j). Solve -2*b - 25 = -z*s, s + 3*b = -s - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4113*j - 8219. What is u(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-704)\/20)\/(-2) + (-4)\/(-10) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -5 (c) -3\/496 (d) 1 (e) -4 (f) 34\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.20302886 rounded to four dps?\nAnswer: 1.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 28, -25, -3, -244, -4 in ascending order.\nAnswer: -244, -25, -5, -4, -3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 841, 2026, 3221, 4432, 5665, 6926, 8221, 9556?\n\"Answer: y**3 - y**2 + 1181*y - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0224019 and 77454.592.\nAnswer: 77454.5695981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 5*l, -l + 4*t = -t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 9:34 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 8:31 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12a4 + 392b8?\nAnswer: 38014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 + w**2 + 6*w - 3. Give f(3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*y**2 - 12*y**2 - y**2)*(0*y**3 - y**3 - y**3).\nAnswer: 146*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*y + 46*y - 18*y)*(2*y**4 + 2*y**4 - 2*y**4).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/5 and 59\/334.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 9. Let p be d(-6). Suppose -p*z = z - 12. Solve 0 = -5*g + z*g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**10)**(-1\/12)*(d*d\/(d*d*(d**1\/d)\/d*d*d))**43\/(((d*d\/(d**(2\/9)*d))\/d)\/d*d**(-3\/4)*d*d) assuming d is positive.\nAnswer: d**(-1519\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -22?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*k = 0, 20 = 5*c + 2*k - 1. Suppose 0 = x - p + 5*p + 4, c*x - 5*p = 80. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19943 + -58030\/3. Let a = d + -591. Find the common denominator of a and 19\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 times -42\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let k(p) = 45*p. What is -k(f) + 6*r(f)?\nAnswer: -39*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-2))\/(7\/14). Suppose 6 = -2*x, h*x + 6 = -2*y - y. Put -1, y, 5 in increasing order.\nAnswer: -1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67587*t**2 + 146108*t**2 - 66648*t**2 to the form a*t**2 + x*t + v and give a.\nAnswer: 11873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3890, 7783, 11676, 15569, 19462, 23355?\nAnswer: 27248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 2 + -2 + 350. Let p = -4 + 11. Suppose -p*j = -2034 - z. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -36*o - 4684. Let k(p) = 89*p + 9369. What is -2*k(j) - 5*r(j)?\nAnswer: 2*j + 4682","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23547 = 38*m - 26283 for m.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3405 divided by 629\nAnswer: 3405\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -37. Let y(x) = 24*x + 16. Let h be y(q). What is the greatest common divisor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.1 (b) 2 (c) 3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -2. Let x be 213*(n + 7\/3). Suppose u + 32 = z, x = 3*z + u - 5. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-27 - 110 - 138)*(0 + 0 + 2)*(-a**3 + 5*a**3 - 3*a**3).\nAnswer: -550*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-2)\/(-2))\/(231\/1617)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 347 - 1395\/4. Is j smaller than -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 4*l + 3*o, -6*l + 69 = -3*l + 3*o. Calculate the smallest common multiple of (-2 + -7)\/(3\/(-2)) and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.42 + 68952\nAnswer: 68949.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 18, -12 = -198*c + 195*c - 2*o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -13*s + 3*s**2 + 2 + 8*s + 8*s - s**3. Let m(u) = u**2 - 4*u - 73. Let n be m(11). Determine y(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*l**2 + 51*l**2 + 59*l - 24*l**2)*(-3 + 16 + 3) in the form g*l + n + o*l**2 and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -1008.797.\nAnswer: -13114.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 3*h**2 - 8*h - 86. Let u(f) = -f**3 + f + 14. What is o(n) + 6*u(n)?\nAnswer: -5*n**3 - 3*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12087095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 21*q**2 - 27*q + 7. Let p(s) = -3 + 2 - 13*s + 11*s**2 + 3 + 1. Let v(m) = -3*n(m) + 7*p(m). Find the second derivative of v(d) wrt d.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*y = -g + 3, -y = -5*g - 1. Let v be (-5)\/(-1 - g\/(-2)). Find the first derivative of v - d - 2 - d wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -11*i**3 + 8*i**2 + 2*i - 1. Let m be z(1). Sort m, -10, -83, 2 in increasing order.\nAnswer: -83, -10, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/84 - 338\/(-1183)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 3:51 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 8 + 28 = 0. Suppose -f = -k*f + 140. Let h = 420 - 415. What is the greatest common divisor of h and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 0*f**3 - 18*f - 1\/24*f**4 + 0 + 1\/4*f**2. Factor j(t).\nAnswer: -(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -991\/231 + 52\/33. Let x = -3457 - -34537\/10. Calculate the common denominator of x and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*s + o, o + 3*o = -4. Suppose 2*j - 6 - 6 = s. Is 6\/(-9) - (-874)\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.2 (b) 2 (c) 3010\/23 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 - 6 = 0. What is the lowest common multiple of 12 and 4 - (b - -2)*23?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 139859 or 139861?\nAnswer: 139861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4711 and -3158.\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6640 divided by -2102.\nAnswer: 3320\/1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*f = -177*f - 8830. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**4 + 7*v**2 - 3*v**4 + 19*v**4 wrt v.\nAnswer: 408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 40*x - 80. Let q be m(6). Let c = 162 - q. Solve -6 = -p - c*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*w + 27*w + 114260 = 0. What is the lowest common multiple of w and 16?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 1 = -m, 3*t + 3 - 6 = -m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 44 = 4*k, 574*p - 579*p + 149 = -12*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108943, 217887, 326831?\nAnswer: 435775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1097019 times -0.0642\nAnswer: 70428.6198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-9)\/g)**(34\/5)*((g*g**(-10)*g)\/g)**17)**(2\/93) assuming g is positive.\nAnswer: g**(-442\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 1 - 16 = 3*m, 0 = 5*m - s + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4910453291?\nAnswer: 4910453291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 6*k - 1. Let l be t(-11). Suppose 0*n = 2*n - l. Suppose -4*m + 0*m = -20. Solve -3*b - 3 = 5*r - 2*r, n = m*r - 3*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-6)\/(-5))\/(9\/(-18))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 70?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10863341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*4\/((-3)\/(-2)*-6). Factor 4\/3*z**2 + 10\/3*z - b - 10\/3*z**3.\nAnswer: -2*(z - 1)*(z + 1)*(5*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4*-1)\/(-2))\/(((-202)\/40)\/101)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*k**3*x**3 + 2*k**3*x**2 - 60*k**3*x - k*x**3 + 2*x**2 wrt x.\nAnswer: -384*k**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -186403 divided by -9?\nAnswer: 186403\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 411386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*z + 12*z + 36*z + 4010071. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 + 97978*n\/9 + 97972\/3.\nAnswer: 2*(n + 3)*(n + 48986)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 2*c**2 + 1. Let f be r(-3). Let j = 11 + f. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.1 (b) 61 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.43 + 1.43. Which is the nearest to -3\/2? (a) w (b) -1\/3 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 4. Let g(y) = 5*y - 9. Let u(k) = 4*g(k) + 9*l(k). Let s(p) be the first derivative of 7*p**3\/3 - 162. Calculate u(s(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 84104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-35)\/((-28)\/4). Suppose z*h = 13*h - 4104. Which is bigger: h or 455?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18451, -18453, -18457, -18463, -18471?\nAnswer: -18481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {w: 1, r: 8, e: 7, b: 4}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7345025872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.108 + 0.1080207. Round p to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 11. Calculate the common denominator of 2\/7 - (-698)\/252 and (-67)\/(-2)*(-1)\/c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 3:20 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 21*q**2 + 12*q + 11. Suppose 4*f = 7*f + 24. Is g(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/419? (a) 4\/7 (b) 0.721 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or 2.64?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 8*d**2 + 7*d. Let z(s) = -2*s**3 + 17*s**2 - 15*s. Suppose -86*g + 91*g - 65 = 0. Determine g*f(t) + 6*z(t).\nAnswer: t**3 - 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1720\/7 (c) 0.7 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 10*t**2 - 3*t + 21. Let l be y(-11). Let n = l + 223. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nll when three letters picked without replacement from {l: 2, n: 2, s: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 13*d**2 + d - 148. What is the least common multiple of 2618 and u(-10)?\nAnswer: 23562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j = -8. Suppose -j*l - 44 = -3*v + 44, -5*l - 85 = -3*v. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-24)\/(b**(-17)\/b*b)*(b**28\/b*b*b)\/b**18)**(3\/44) assuming b is positive.\nAnswer: b**(3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001811 rounded to 5 dps?\nAnswer: -0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 292?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 108\/(-2142) - (0 - 2\/7). Let k be (-6)\/6*(65\/20 + -3). Sort -2, k, o, -1.\nAnswer: -2, -1, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**9\/15120 + r**8\/6720 - r**7\/2520 - r**6\/720 - 5*r**4\/12 + 6*r. Let u(n) be the third derivative of m(n). Factor u(l).\nAnswer: l*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*t**3 - 2*t**2 + 269 wrt t.\nAnswer: -24*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.6 - -20.212. Round d to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/69498 and -73\/3861?\nAnswer: 69498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/2 - 123\/34. Let d = 27 - 107\/4. What is the nearest to d in -5, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*i**3 + 5*c**3 + 2*c**2*i**2 - 3*i**4 wrt i?\nAnswer: -12*c**3 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d**3 - 3*d + 5. Let a(t) = 11*t**3 - 4*t + 6. Let i be 5\/2*(288\/(-40))\/(-6). What is i*a(u) - 4*z(u)?\nAnswer: -11*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 234\/(-42) - (-3)\/(-7). Let h(p) = 8*p + 50. Calculate the smallest common multiple of h(z) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3\/13 - 675722*g**2\/13 + 4053630*g - 79041222 = 0.\nAnswer: 39, 337783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.5 - 6.9. Which is the fourth biggest value? (a) 0.1 (b) -10 (c) 1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**3 - 11*i**2 + 4*i + 21. Let a(r) = -15*r**3 - 33*r**2 + 11*r + 62. Determine 4*a(g) - 11*p(g).\nAnswer: -5*g**3 - 11*g**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111 by -37.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2 (b) 66 (c) -3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507607 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 - 122*g\/7 - 660\/7.\nAnswer: 2*(g - 66)*(g + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -57. Let g = 1.3 - 1.9. What is the third smallest value in l, g, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**4\/12 + 439*u**2 - 2*u. Let m(f) = -188*f + 2. Determine m(l(o)).\nAnswer: 376*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1579997 is divided by 71818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-366)\/99 - (-4)\/(-6). Let f = p - -314\/77. Suppose -2*d = -3*g - 20, g = -2*d - d + 8. Which is the biggest value? (a) f (b) d (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106956 and 80217.\nAnswer: 320868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 476455 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3 - 54*k**2 + 408*k - 616 = 0. Calculate k.\nAnswer: 2, 11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4366*l**3 - l**2 + 961*l + 961. Let k be h(-1). Is -4367 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z + 6. Give c(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59.6453 - 1631.\nAnswer: -1690.6453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 8:02 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (0 + (0 - -2) + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 651\/(-434)*(2 - 19332)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from uxxxauuhxaavxuuauxvu?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 42 = 2*m. What is the remainder when m is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40\/24)\/(10\/6). Let s be ((-9)\/(-12) - b) + (-260)\/(-80). Factor 4\/7*q**s - 4\/7 - 4\/7*q + 1\/7*q**4 + 3\/7*q**2.\nAnswer: (q - 1)*(q + 1)*(q + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8931 = 875*c - 1104*c for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uup when three letters picked without replacement from {p: 4, u: 2, b: 5, i: 8}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(h + 3*h - 6*h + (0 + 1 + 1)*(-2*h + 1 - 1) - 3*h + 3*h - 2*h + 3*h - h - 3*h - 5*h + 0*h + 3*h) - 2715 - 427*h - 2239*h + 2715.\nAnswer: -2677*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 4*h**6\/15 + h**4\/6 - 7*h. Find the third derivative of q(b) wrt b.\nAnswer: 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3*x + 10 = 2*x, -2 = 3*b + 2*x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033103 to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**3 + 69421*v**2 - 2292016*v - 2361436 = 0.\nAnswer: -69454, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 3*i**2 + i. Let q(t) = 421*t**3 - 19*t**2 - 4163*t. Let b(o) = 6*c(o) - q(o). Find the second derivative of b(w) wrt w.\nAnswer: -2562*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 195513*z + 2932720\/3.\nAnswer: -(z - 5)*(z + 586544)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0645 + 0.06. What is m rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c. Suppose 0 = 5*h - 15. Suppose -4 = -h*j - 7. Let w be f(j). Solve 0 = w*v - 3 + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5560 and 8763116?\nAnswer: 87631160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + (-90)\/45 + -9 + 15 + 2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 13\/9 (b) -2\/7 (c) -0.2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*z + 16, 7 = 2*b + z - 0. Let q(v) = 1 - b + 4*v. List the prime factors of q(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n**3 - 7*n**3 + n**3)*(10*n**2 - n - 9*n**2 + 0*n**2 + 3).\nAnswer: n**5 - n**4 + 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(32))**2 - (sqrt(2) - (sqrt(128) + -1)**2).\nAnswer: -17*sqrt(2) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2722*d**2 - 1148*d**2 - 1586*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**3 + 47*z**2 - 207*z - 1660. What is b(-7)?\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2664 and 1067672?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 93323, 93245, 93143, 93005, 92819, 92573?\n\"Answer: -2*f**3 - 64*f + 93389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -1, 14 - 9 = a + r. What is the closest to 0 in 2\/7, 3, a, -24?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103321231 (base 4) to base 11\nAnswer: -56277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 - 33)*(-3*b + 0*b + 5*b + (1 - 3*b - 1)*(0 + 2 - 1)) + (2 + 0 - 4)*(-2*b + 2*b + 2*b).\nAnswer: 38*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-4 - (-9 - -4) - 2). Suppose t*z - 16 = -u + 87, 4 = 2*z. Suppose 43*x + u = 48*x. Solve -x = 4*k - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 5, -5, 0, 7 in ascending order.\nAnswer: -5, 0, 5, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1954, 1953, 1952, 1951, 1950, 1949?\n\"Answer: -o + 1955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1114, -1681, 39 in ascending order.\nAnswer: -1681, -1114, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let v = -0.124 + 0.224. Let n = 10.9 + -11.2. Sort t, n, 3, v in ascending order.\nAnswer: n, v, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.08055984.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -101670, -101486, -101176, -100740, -100178?\n\"Answer: 63*m**2 - 5*m - 101728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 + 2*h**2 - h + 1. Let w(c) = -2*c**3 + 3*c**2 - c. Calculate -3*r(y) + 2*w(y).\nAnswer: 2*y**3 + y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 25272 = -12*s - s. What is the highest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2094 * -10\nAnswer: -20940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (48\/168)\/(10\/28)*2. What is the fifth smallest value in -4, -52\/7, 4, c, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 431221965 and 23705?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p + a - 2*a, -3*a + 18 = 4*p. Suppose 5*y - p*o = 400, -2*o = -y + o + 68. Let u = y + -58. Solve u = s + 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 3\/6)\/(2\/(-188)). Let o = 48 + c. Let m(d) be the first derivative of -5*d**4\/4 - d**3\/3 - d**2\/2 + d - 4. Give m(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3292 and 210794459651.\nAnswer: 210794462943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/180*(-165)\/44)\/(10\/12)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510.8917 weeks to seconds.\nAnswer: 308987300.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301782?\nAnswer: 2, 3, 13, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 3*b - 3*b)*(-3 + 3 + 1 + (1 - 3 + 0)*(-9 + 66 + 12)) to the form x*b + p and give x.\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -13*t + 17*t. Is (3*-5)\/(44\/8 - t) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/6)*i*i)\/((i**(-2)\/i)\/i*i) assuming i is positive.\nAnswer: i**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - 101?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -18*d + 5772. Let j = -195 + d. What is the remainder when j is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 77. Let n = -15 + v. List the prime factors of 19 - (0 - n\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24*392\/(-2016))\/(-4)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 8:02 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**5\/6 - 17*i**4\/6 - 8905*i**3\/2 + 362859*i**2\/2 + 13294359*i = 0.\nAnswer: -166, -39, 0, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 8260, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(21150\/658)*2\/((-8)\/2).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 12*i + 188. Let y be b(-14). Solve 4*o - 2*x = 12 - y, 0 = o - 3*x - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -5*t + 4*a, 14*t + 1310*a - 64 = 1307*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 8*h + 164*h**3 - 4*h.\nAnswer: 164*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s - 12. Let d be u(-5). Suppose 3*a - 6 = 0, -4*a = -d*f - a + 75. What is the remainder when 106 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u**2 - 2*u**2 - 5*u**2 - 13*u**2 - 3*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 22*g + 41*g - 1.\nAnswer: 19*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2336814 divided by 3954.\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*t**2 + 9*t**3 - 13*t**3 - t**3 wrt t?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22901047 to the power of 1\/2, to the nearest integer?\nAnswer: 4786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*v + 51*v + 68. Let l = -6 - v. List the prime factors of (l\/8 + -3)\/((-3)\/(-498)).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47 - 2?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -551 + 551.00008576. Round k to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (9 - 4 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**2 - 47*z + 12. Let s be w(8). Differentiate s*n**2 - 13*n**2 + 71*n**4 + 108 - 7*n**2 with respect to n.\nAnswer: 284*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13423013 (base 7) to base 13.\nAnswer: -3499ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (228\/1197)\/((240\/(-42))\/4)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11095883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/4)*a*a**(-7\/4)*a)\/(a*a**1*a*a\/a**1))\/((a*a**(-1\/4)*a*a*a**(-3))\/((a\/(a*a**(1\/3)\/a)*a)\/a**(-4))) assuming a is positive.\nAnswer: a**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32602240?\nAnswer: 2, 5, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {y: 1, p: 1, v: 3, w: 4, l: 3, h: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 88 (b) -0.4 (c) 0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l + 6. Let p be c(-7). Let n = p - 18. Suppose 3*q - 2*m = 44, 3*q - 4*m - 40 = -3*m. Calculate the remainder when n is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52.6 - -102.6. Which is smaller: z or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -279, -487, -689, -885?\n\"Answer: 3*g**2 - 217*g - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-249)\/47476*-52)\/(15\/4840).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 (base 9) in base 2?\nAnswer: 11000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2468278206?\nAnswer: 2, 3, 137126567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + -60?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 2\/25, 0.2, -0.1, -0.01, 38?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14003000 rounded to the nearest one hundred thousand?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73.999675 + 74. Round z to five dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*u - 3, b + 5*u = 2 + 2. Suppose -7*l = -2*l. Is 37 + l + (-1 - b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 17*p + 22*p - 2*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3808 or 73.1?\nAnswer: 73.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 - 6*a**2 + 5*a + 4. Let k be l(4). Suppose k = 3*m + m. Suppose -1862*p = -1801*p - 915. Calculate the greatest common factor of m and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - -5) + -60 + -37.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -2.6. Let k = -41 + 42. Let p = 1.9 - 2. Put f, k, p in increasing order.\nAnswer: p, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*s**2 + 247311*s + 360*s**2 - 247311*s.\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*h**2 + 27*h - 4?\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 331 = -283 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4a94b (base 12) to base 10\nAnswer: 101579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1144, 1141, 1138, 1135?\n\"Answer: -3*p + 1147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1714 divided by 4244\nAnswer: 857\/2122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r**3 + 10*r**2 - 41*r - 4. Calculate q(-4).\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26008072?\nAnswer: 2, 3251009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*s + 0*s + 13 = 0, -h - 2 = 4*s. Suppose -h*y + 2*k + 90 = 2*y, 3*y - 90 = -3*k. Let m = y - 58. What is m rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:18 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -16. Suppose -a + 7 = 4*u - 9, 2*u + l = 3*a. Calculate the highest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812923.3 kilograms to milligrams.\nAnswer: 812923300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*c**4*j*r - 6*c**4*r - 3*c**3*j**2 + 459*c**2*j*r + c**2 - 4*c*j**2*r + 8*c*r wrt c?\nAnswer: 384*c*j*r - 144*c*r - 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-1 + -5 + 6)) + (7 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8*z - 27. What is c(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.7972821 - -14224675.\nAnswer: 14224680.7972821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*w**4*x**2 + 260*w**4*x - 7*w**3 + 2*w**2*x**2 - 2*w*x**2 + 56*x**2 + 1 wrt w.\nAnswer: -96*w*x**2 + 6240*w*x - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 66?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z**2 - 1669*z + 4025. What is f(236)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**14\/h)))\/(h**(12\/11)\/h) assuming h is positive.\nAnswer: h**(153\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (97*z + 19*z - 51*z)*(-13 - 4 + 447*z + 17) in the form d*z + v*z**2 + m and give v.\nAnswer: 29055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -27) + -37 + -3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + -10 + -5 + 16 + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047425268 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13610 rounded to the nearest one hundred?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = p + 15 - 6, 5*p + 25 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*s - 0*s. Suppose -c + s + 0 = 3*g, 4*c = 0. Suppose 0*n = -n + g. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -20. Let l(j) = -j - 2. Let c be l(-2). Let r(o) = 3*o**2 - 37*o - 117. Let h be r(15). Solve -2*g = -5*b - 6, -h*g = -c*g - p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**13\/i*i)\/i*i*i**14)\/(i\/(i\/(i*i**7)))**(5\/4) assuming i is positive.\nAnswer: i**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.041 + 1.959. What is the third smallest value in -10, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2607*b**2 + 198*b. Let g(p) = -66*p**2 + 5*p. Let a(s) = 198*g(s) - 5*y(s). Let v(w) = -23*w**2 - w + w + 25*w**2. Determine v(a(t)).\nAnswer: 2178*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b - 371 = 5*q, 2*q + 89 = -b. Suppose 58 - 1507 = -7*v. Let k = v + b. What is the highest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j + 2*j)*(65 - 122 + 61 + 2 + 2 - 2 + 0 - 2 + 0 - 4 + 2 + 1 + 3 - 2 + 1 + (-4 - 1 + 3)*(-2 - 5 + 5) - 2 - 1 + 5 - 1 + 4 - 1).\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183431 is divided by 2379?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/18 + (-131)\/3. Let n be (z\/33)\/((-2)\/12). Suppose -2*c = 2*y, -3*y = -n*y - c + 16. Solve y*l - 15 = 4*d + 9, -l = 4*d + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/43)\/(r*(r**(-35)\/r)\/r)*(r*r\/r**(-18))\/r*r*r*r**34)**7 assuming r is positive.\nAnswer: r**(27384\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 5*t + 0 + 1\/20*t**5 + 1\/3*t**3 + 1\/3*t**4 + 2*t**2. Let s be v(-4). Let l(k) = k**2 + 4*k + 3. Determine l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 3*w**2 + 3*w + 2. Let j be 23\/(-46) + (-76)\/(-16) + (-2)\/8. Determine d(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -92398, -184778, -277158, -369538, -461918, -554298?\n\"Answer: -92380*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/16)\/(38\/(-152)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 - z + 180 - z - 93.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -517 + 516.93. Suppose -5*g - 4*i = -15, 5*g + 4*i + 10 = 5*i. Let a = -1\/66 - -47\/198. What is the closest to g in u, 1, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1177 and ((-1334454)\/(-1188) + 4\/18)*2?\nAnswer: 24717","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 17 - 1. Suppose -n + 1 + 7 = -5*o, -3*o + c = n. Suppose -2*g = 5*q + 6, 7*g - 3*g - 18 = 5*q. Solve -h = -4*v + n, -g*h - 7 = -2*v + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6449328?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 7*z + 203. Let g be h(18). Which is the nearest to 0? (a) g (b) -149 (c) 0.5 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138781 - -118976.1. What is f rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 0)*(20 - 106 - 202)*(3*u - u - 3*u)*(4 - 4 - 2)*(0 + 0 + 1).\nAnswer: -2304*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -557.36 + 550. Let y = j - -7.3599429. Round y to six dps.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y - 7. Calculate x(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7475569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 3480 = -12*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 14) to base 9\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17320, 17207, 17022, 16765, 16436?\n\"Answer: -36*u**2 - 5*u + 17361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 19\/5, -7035?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 16 + 6 = 5*z, -3*z - 5*s = -10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/4644 and 97\/516.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 3*n**2 + 40*n**4 - 39*n**4 + n**3 + 6 + n**2 to the form h*n**4 + x + q*n**3 + m*n + b*n**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 16 = 8*j. Is (7045\/(-15)*-3)\/(j + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11761149619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + q. Determine n(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*t = 28, 2*s + t + 53 = 4*s. Let n = s - 23. Let a(g) = -n - 3*g - 1 + 4 - 4. What is a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one fifths of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2551968 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5 - 4276*d**4 + 8570*d**3 + 21388*d**2 - 25680*d = 0.\nAnswer: -2140, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7050072 divided by 1762518?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*u = 2*q + 291, u + 54*q - 172*q + 56*q + 57*q + 21 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**4\/6 + 8*k**3\/3 + 16*k**2 + 8*k - 4. What is h in p(h) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28440 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1313766249?\nAnswer: 3, 1153, 379811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 343.9419 rounded to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 - 273*r + 5156. What is x(16)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4640194627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3706445 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 826 - -0.315.\nAnswer: 826.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4)\/(-16) + (122\/8 - 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 10 - 5 = 9*d, 0 = 3*k - 4*d + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(684)) - (((0 + sqrt(2736) + 0 + sqrt(2736))**2 - sqrt(2736)) + sqrt(2736)).\nAnswer: -10944 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 178.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 968 divided by -8131\nAnswer: -968\/8131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1289697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 18221, 8, 0.4 in descending order.\nAnswer: 18221, 8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*l**4 - 28*l**2 + 60974*l?\nAnswer: 384*l**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + sqrt(25)\/(sqrt(5) - sqrt(125)))*6.\nAnswer: 45*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 256800416*b + 256800416*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105138 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5, 2, -162, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -114 + -18?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3270.586l?\nAnswer: 3270586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16286 - -31?\nAnswer: -16255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 3) + -3 - -2 - (-1 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4 + 1 = -3*n, 2*n + 10 = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 0, 12, 162, -7, -5 in descending order.\nAnswer: 162, 88, 12, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 = 2*d. Suppose 0 = -4*a + r + 32 + 24, 28 = d*a + 2*r. What is the remainder when 39 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43089737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1040*y**3 + 1034*y**3 - 4139*y**3 + 1033*y**3 + 1034*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 829977.9ng in milligrams?\nAnswer: 0.8299779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14798754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c**9*(c\/(c\/(c**(4\/5)\/c*c))*c)\/c**6)\/(c**(1\/3)\/c**9*c\/((c\/c**6)\/c)*c*c\/(c*c**(-9)*c)*c) assuming c is positive.\nAnswer: c**(-353\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 56*r + 806. Give f(10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (433 - 433 - 114*s)*(46*s**2 - 17*s**2 + 38*s**2) in the form v*s**2 + a*s**3 + f + z*s and give a.\nAnswer: -7638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -40. Solve -x - o = 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 14) to base 5\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -229 + 233. Suppose -3*u - 6*j + 12803 = -p*j, -4*j - 21353 = -5*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) - (sqrt(960) + -5*sqrt(960)*1 - sqrt(960)))\/(sqrt(40)\/sqrt(128)*5)*-5)**2*-1.\nAnswer: -110592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + 0*n**3 + 3*n**3)*((-2 + 1 - 1)*(-n + 3*n + 0*n) + 4 + 7 - 312*n + 309*n).\nAnswer: 7*n**4 - 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7250251088.22 less than -0.5?\nAnswer: -7250251088.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7210550631355 plus 19?\nAnswer: -7210550631336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*((-p + 1 - 1)*(3 - 10 + 19)*(5 - 1 - 1) - 2*p - 2 - 4 + 4) as m + i*p and give i.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/18 - 184\/(-18) is divided by (4\/3)\/(5\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 4*i - j + 31, -j - 16 = -i. Suppose -2*s = -3*t - 11, -3*s - 2*t + 39 = t. What is the lowest common multiple of i and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36954 and 1998.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3021 + -619303\/205. Let q = -16 - -20. Suppose 5*x - 15 = -3*g, q*x + 2*g + 0*g - 10 = 0. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002899 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of ((-1359)\/(-27))\/(1\/3) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.91 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2. Let c(q) = -6 - 1 - q + 0. Give 2*c(m) + 6*f(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -12 + 7 + 6. Suppose -y + 5*w = -25, 5*y + 0*y + 3*w = -15. Let t(d) = d - 4 - 2*d + y*d. What is -t(j) - 2*z(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**4\/12 + 3*w**2. Let k(r) = 1155*r**2 + 126. Let x(t) = -46*t**2 - 5. Let q(y) = 5*k(y) + 126*x(y). What is l(q(i))?\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22416281*m + 22416281*m - 719*m**2 - 1 to x*m**2 + p*m + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 198 + -198.19. Let u = 28.19 + j. Which is the third biggest value? (a) u (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h + 3*h)*(2 + h - 2) + (2*h + 2*h - 5*h)*(-3*h + 4*h - 2*h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*((-6*(sqrt(75) + 1) - sqrt(75) - 4*(sqrt(75) - -4*sqrt(75) - sqrt(75))) + 2))**2 + 3.\nAnswer: 14720*sqrt(3) + 635061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h**2 - 11*h - 18. Let d = -17 + 12. Let l(t) = -4*t**2 + 5*t + 9. Let i(c) = d*l(c) - 2*q(c). What are the prime factors of i(4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 45*w**2 - 51*w - 54. Give o(-46).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by 43.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 416 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.06, 2, -2\/7, -1105, 4 in ascending order.\nAnswer: -1105, -2\/7, 0.06, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -66*g + 187. Solve r = g*c - 4, -5 = 2*r + 2*c - 3*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 10. Sort 4, 6, o in ascending order.\nAnswer: o, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7*y = 12. Suppose y*r - 72 = -r. Suppose 0 = i + 2*i - r. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80933302 and 856?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*q - 8 + 8 - 3*q - 2*q + 6*q + 2*q + 0*q - 3*q - q - 2*q + q - 2*q - 3*q + 4*q + (0 + 0 - 1)*(1 - 1 + q) - q - 2*q + q - 2*q + 3*q - 2*q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(1 - (-12)\/(-10)). Suppose -2*i + 3*i = k. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11656023.\nAnswer: 3, 547, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 times -71204?\nAnswer: 7476420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*n. Let t be 7\/(-1)*220\/308. Put t, 4, -25, n in descending order.\nAnswer: 4, n, t, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 4:19 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 817.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + 2*j**2 - 2*j + 3. What is the remainder when 66 is divided by v(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8487, 16970, 25449, 33924, 42395, 50862?\n\"Answer: -2*x**2 + 8489*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q**6 + 1\/15*q**5 - 1\/3*q**3 - q**2 + 0 + 0*q**4 - 1\/105*q**7 + 0*q. Find y, given that d(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 391*l - 766*l + 385*l. Let v(w) be the first derivative of w**3\/3 + 1. Calculate v(a(d)).\nAnswer: 100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 2.6. Let t = -157 - -469\/3. What is the closest to -1 in -5, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1127 - -1052?\nAnswer: 2180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -16 - (-3)\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 50 = -5*l, -7*l = -2*l + 4*s - 23. Suppose 3*b - 2 - l = 0. Solve b*v - 6 - 3 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-160*35\/(-12320)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2 + sqrt(13))**2)*-1 + -4*(sqrt(325) + -5).\nAnswer: -16*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 2*f + 4. Let l be x(2). Suppose -k = -l*k. Suppose -3*a = -3*q + 921, -5*q - 4*a + 2340 - 805 = k. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7180543 times -0.2?\nAnswer: -0.34361086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -713, -1426, -2139, -2852?\nAnswer: -3565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + q)*(2*q**3 - q**2 + q**2) - 5*q**4 + 3*q**4 + 3*q**4.\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**3\/3 + 3*u**2\/2 + 2*u. Let p be v(6). Is (-2)\/3*p\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, j: 2, m: 3, e: 4}. What is prob of picking 1 e and 1 a?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75846095.\nAnswer: 5, 13, 17, 68639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/4*(-128)\/112. Calculate the remainder when (-618)\/f*20\/30 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, g: 3, b: 3}. Give prob of picking 2 b and 2 g.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 8*i**2)*(1 - 1 - 2 - 2*i**3) - 6*i**5 - 2*i**5 - 4*i**5 + (-i**2 + i**2 - 2*i**2)*(-2*i**3 - i**3 + i**3).\nAnswer: -24*i**5 - 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 329*k + 7627 + 351*k - 7627 to the form b + p*k and give p.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/19 at most as big as 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) 1\/160 (c) 0.102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylllylylylyy. What is prob of picking 3 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 3*h - 4*h)*(-8*h**3 - h**3 - 13*h**3) + h**4 - 8*h + 10*h + 1 - 2*h**4 as c*h**3 + r + t*h**2 + k*h + w*h**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23532*m**3 + 11804*m**3 - 2*m**2 + 12183*m**3.\nAnswer: 455*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (20 - (7 - -12) - (1 - -4)) + -4.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l + 4. Let z be (-1 - (-4 - -1)) + 3. Let u(j) = 5*j + 4*j - z*j + 2. Calculate -3*i(d) + 5*u(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 3:11 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 + 0*o**3 - o**3 - 7*o**3.\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27866 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d**5\/3 - 2798*d**4\/3 - 4956*d**3 - 14902*d**2\/3 - 2840*d\/3 = 0. Calculate d.\nAnswer: -4, -1, -1\/4, 0, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57609*k + 3*r = -57613*k + 190, -3*k - 7*r + 152 = 0 for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + -15. List the prime factors of g*((-260)\/12)\/5.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 238\/510 + 2\/(-15). Put -3\/5, 2, r in increasing order.\nAnswer: -3\/5, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 585.45 + -585.4. Let z = 0.1 - -0.9. Let l be -4 + (2 - 2\/1). What is the second biggest value in p, l, z, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 5*j - 5. Let x(c) = -6*c**3 - 14*c + 14. Suppose a + 1 + 15 = 0. Let r = 21 + a. Give r*x(p) + 14*g(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*g - 2*x + x, -4*g + 2*x = -118. What is the remainder when 105 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1582090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 287207*p**6*r + 88*p**2*r - 3*p**2 - 2*r - 2 wrt p?\nAnswer: 34464840*p**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, a: 1, y: 1, j: 1, c: 3, s: 6}. What is prob of picking 1 j and 2 c?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.10247 times 0.21899\nAnswer: -0.0224399053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114066.\nAnswer: 2, 3, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 168\/147*14\/12\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 - 7*t**3 + 3*t**4 + 1 + 3*t**3 + 3*t**2 + t + 0*t**3 in the form u*t**4 + l*t**3 + w + s*t**2 + p*t and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-165)\/(-9) + (-2)\/6. Suppose -4*o + b = -o. Let i = -188 - -192. Solve -k - 5*q + 4 = -o, -2*k + 14 = i*q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(0*w - 29*w - 3*w) - 66 + 66 + 164*w.\nAnswer: 100*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3*(21\/(-90) + 2) and ((-154)\/(-147))\/((-2)\/(-3))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1445*p - 1400*p = -1710 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250209762 and 296?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1385945, -1385934, -1385899, -1385828, -1385709, -1385530, -1385279, -1384944?\n\"Answer: 2*u**3 - 3*u - 1385944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.6 - 28.461. Is b greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a hour in seconds?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 3*g + 5*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 3*f - 2. Let g be p(3). Let a(n) = n**2 - 6*n. Let l be a(6). Suppose 5*j - 13 - 12 = l. Sort -3, j, g in decreasing order.\nAnswer: j, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (25 + -9)*2\/(-4). Let o = r + 17. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96430798?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 24987396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t**2 - 12*t - 5. Let w(c) = -5*c**2 - 14*c - 4. Give 5*v(m) - 6*w(m).\nAnswer: 5*m**2 + 24*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddeddddedddddd. Give prob of sequence dde.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*s = -15 - 5, -2*s + 4 = -a. Suppose 3*h + 261 = c, -6*c + a*h = -4*c - 514. List the prime factors of c.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36733 is divided by 2804?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v*v*v**4)\/v*v)**(-2\/89))**(-1\/6) assuming v is positive.\nAnswer: v**(8\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 246, 522, 792, 1056, 1314, 1566?\n\"Answer: -3*a**2 + 285*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10041*l + 5023*l + 5026*l - 15 - l**2 - 13.\nAnswer: -l**2 + 8*l - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 974003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7917124 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = w + 1 - 7, z = -1. Let u(j) = 0 - 2*j + j**w - 3*j**3 - 1 + 4*j**2 + 2*j**3. Calculate u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-3) + 9)*266\/(-825). Let b = 3\/275 - z. Find w such that -2\/3*w - 1\/3*w**4 + 5\/3*w**2 + 0 - w**3 + b*w**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) - (sqrt(336) - (sqrt(336) - sqrt(336)*2 - sqrt(336))))\/(4*(sqrt(112) - sqrt(7))))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6 - (51\/(-9) - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 + 5*q + 1438*q**2 + 7*q**4 - 1430*q**2 - 98 in the form n*q + z*q**2 + w + t*q**4 + a*q**3 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -583 (b) -1096\/3 (c) -1\/3 (d) 0.5 (e) 5 (f) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.61 and -4596.\nAnswer: -2803.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3083*d**3 + 18*d**2 - 227*d - 15. Let f(m) = -771*m**3 - 5*m**2 + 57*m + 4. Let n(j) = 15*f(j) + 4*g(j). What is the third derivative of n(v) wrt v?\nAnswer: 4602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -282990899705.\nAnswer: 282990899698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -0.1?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a**5*m - 524*a**3*m**2 + 61*a**2*m**2 - 10*a*m**2 wrt a?\nAnswer: 480*a**2*m - 3144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0013 + 4.9223. Let x = -0.079 - u. Which is the second smallest value? (a) -3 (b) 5\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -103*v + 105*v - 374. What is v rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/4*80\/(-200)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5449*c + 5*c**2 - c**3 + 5450*c + 8 - 10. Give n(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 12 (c) -8\/133051\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + w**2 + 0*w**2 + (-264 + 264 - 9*w)*(-282*w + 136*w + 128*w) - w - w**2 + w to h*w + l + s*w**2 and give s.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 3*m**2 + m - 2. Let q be u(2). Let l be (-10)\/(-2) + -3 - 4. Let r be (-6 + 0)\/1*l. Solve -4*j + r = -q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -40095*o**2. Let y(p) = -73*p. Give v(y(g)).\nAnswer: -213666255*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:04 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 minus 1986160252?\nAnswer: -1986160305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -133884035, -267768064, -401652093, -535536122, -669420151, -803304180?\n\"Answer: -133884029*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnb when three letters picked without replacement from {o: 5, b: 1, v: 4, p: 3, n: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19950580 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*(v**(-2)*v)\/v)\/(v**6\/v**2) assuming v is positive.\nAnswer: v**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 61. Let o be (48\/(-30))\/((-2)\/q). What is the highest common factor of 84 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100110 (base 3) to base 16.\nAnswer: 6b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-2\/23)*d\/(d**(3\/4)\/d)*d**2*(((((d*d**(-2\/21)*d*d)\/d)\/d)\/d)\/d)\/d*d*(d**(2\/7))**44\/(d\/(d\/d**0*d))**(-1\/11) assuming d is positive.\nAnswer: d**(334129\/21252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + -26. Suppose -108 = -r*j + 15*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 118, 235, 390, 583?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 40 = -t. Suppose 0*c + c = t. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 334002114 - 0?\nAnswer: 334002114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75902.\nAnswer: 2, 37951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1067 - -1073. Calculate the greatest common divisor of x and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/238 or -96795.9?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 = 1970*w - 1893*w - 725 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 0.8 (c) 16\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7604 - -7608. Calculate the highest common factor of 1448 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 3)*(4*b + 0*b - 5*b) + (8*b + 5 + 7 - 9)*(-5 + 3 + 1) as m + x*b and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6554 and -15\/99892?\nAnswer: 2896868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4461*u**4 - 18*u**3 - 223352*u wrt u?\nAnswer: -53532*u**2 - 108*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - 2*c)*(21 + 28 - 8)*(5*c - 5*c + 3*c**2).\nAnswer: -246*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16275094 smaller than 16275096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwjwhjjajhir. What is prob of picking 2 w, 1 i, and 1 a?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*d + 0*d - 1087 = 0, 2*o - 5*d = 415. Calculate the remainder when o is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -3*m - 3, 0 = 18*m + 63*g - 65*g + 18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 divided by -76?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.022, 8.3, 80\/17?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4745 and 843115.\nAnswer: 61547395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-2 + 2 - 8)*(-1 + 4 - 1)*(1 + 0*c - c + 2*c).\nAnswer: 16*c + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-15)*390\/988. Is 0 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*266\/1425*5*-6.\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132916690 to the power of 1\/3, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 7*q**2 + 15*q + 1. Give v(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkhhdkkdhkdddhkhvkk. Give prob of picking 2 d.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/70 and 49\/120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13500537.\nAnswer: 3, 251, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(sqrt(637) + -1))**2.\nAnswer: -420*sqrt(13) + 15961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 + -13 + 1 - 11) + -1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 924084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0 + (-3 + 5 - 3)*(-4 - 2 + 3) + 5 + 0 - 3)*((-5 + 2 + 2)*(i + 0*i - 2*i) - 2 - 2*i + 2 - i - 1 + 1).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0*j + 3\/8*j**4 + 0 + 5\/3*j**3 + 1\/120*j**6 + 1\/6*j**5 + 109*j**2. Calculate k(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**2 - 33108*h + 66198. Give w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*t - 2. Let f = t + 6. What is the first derivative of f - 3*s**2 + 10*s**2 - 3*s**2 - 3*s**2 wrt s?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 + -44. What is the remainder when m is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) 0.1 (c) -0.15 (d) -31 (e) 0.014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3467038\/5 >= -693407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69813569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1603 is divided by 163?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113\/551 + 9\/29. Put -2, 10\/3, n in descending order.\nAnswer: 10\/3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77301 is divided by 3494.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p + 10. Suppose 2*n - p = -2*o, -14 = -3*o + 2*n - 4*n. Solve 0 = -2*a + 4*a + o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7538710 divided by -1507742?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -102?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1820034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24825031 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 141*m + 75067 - 74221 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 5833266?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 126*d - 143. What is x(2)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482302 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 215982395 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -5 - (-23 + 42)) + -16.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12743530849 - 0.4.\nAnswer: 12743530848.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.310818 - -0.11?\nAnswer: 1.420818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 24*z**2 - 21*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26360, 52645, 78930, 105215, 131500, 157785?\n\"Answer: 26285*v + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 15*y**2 + 7*y + 1. Let s be a(-11). Let q = 630 - s. Does 37 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -505148651, -1010297303, -1515445955?\nAnswer: -2020594607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 7*h + 12000. Round h to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*u - 12 + 1, -3*u = -3*t + 21. Let r(g) be the third derivative of 1\/60*g**5 - 1\/6*g**3 - 1\/4*g**4 + 0*g - 3*g**2 + 0. Determine r(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 11:13 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 65025 divided by 5\nAnswer: 13005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 20 = -4*v, 4*v = z + 3*z - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:39 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.11, 2.1, -4, -0.3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l**4 - 43*l**3 - 90*l**2 + 48*l + 91. Let h(x) = -5*x**4 - 22*x**3 - 45*x**2 + 24*x + 46. Let p(u) = 5*h(u) - 2*y(u). Factor p(q).\nAnswer: -3*(q - 1)*(q + 1)*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-42)\/(-35))*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 + 2852*p\/7 + 1016738\/7.\nAnswer: 2*(p + 713)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8079*l. Let h(d) = -13*d. What is h(q(p))?\nAnswer: -105027*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 943, 927, 911, 895, 879?\n\"Answer: -16*f + 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.161 - 0.261. Let j = 0 - -0.5. Let x = -0.78 + 0.28. What is the nearest to l in 0.4, x, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 12. Let z be a(-14). Let d be (z\/6)\/((-50)\/(-14295)). Let h = d + -359\/4. What is the common denominator of h and -29\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -572, -858, -1144?\nAnswer: -1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*r = -28, 2*m - 20 = 3*r - 0*r. Let h(z) = -z**3 + 5*z**2 + 2*z - 7. Let v be h(5). Solve -v*q = q + m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -19. Let i(m) = -m - 3. Let d be i(w). Solve 0 = 2*g + 4 + d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 + w**2 - w**2 + (3 - w - 3)*(5*w - 3*w - w + (-4*w + w + 0*w)*(-4 + 3 + 3) - 5*w + w + 2*w)*(-3 - 1 + 2)*(-5*w**3 + 2*w**3 + 4*w**3).\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547609?\nAnswer: 547609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4739*g + 491?\nAnswer: -4739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2 + 17 - 4*t - 14 + 2*t. Determine v(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*h + 0*h - 82 = 0, -3*h + 3 = 0. Suppose -7*j = 38 - z. Let u(b) be the second derivative of -b**4\/12 - b**3\/2 - 2*b**2 + 2*b. Determine u(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 5*u + 4*k - 14, -3*k = 3*u - 18. Let l(c) = -u*c - 37 + 37. Let v(y) = -2*y. Calculate l(v(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190132 and 8?\nAnswer: 380264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 7*w - w - 4*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1. Let b(v) = 12*v + 6. Let k(s) = -b(s) - 6*l(s). Let t be k(-5). Suppose -t = -5*u - 0*u. What is the lowest common multiple of u and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 408978, 408906, 408834, 408762, 408690, 408618?\n\"Answer: -72*h + 409050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + 19 - ((-1187 - -756) + 436)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v. Let k(n) = -180*n**3 - 75*n - 81. Let p(q) = k(q) + 6*r(q). Let m(l) = 9*l**3 + 4*l + 4. Determine -81*m(d) - 4*p(d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*r - 289 = -p, -p + 0*p = r - 7 + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 4:55 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(-4\/19)\/(c**(-5)*c**(1\/13)\/c*c) assuming c is positive.\nAnswer: c**(1112\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x**2. Let c(b) be the third derivative of b**5\/20 - b**3\/2 - 608*b**2 - 3*b - 1. What is l(c(n))?\nAnswer: 72*n**4 - 144*n**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**2 + 2*k - 16. Let l(g) = 3*g**2 - g + 11. Let w(x) = -3*x**2 + 3*x - 9. Let s(a) = 2*l(a) - w(a). Give 5*h(n) + 2*s(n).\nAnswer: -2*n**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26402, -26436, -26472, -26510, -26550?\n\"Answer: -u**2 - 31*u - 26370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e01 (base 15) in base 9?\nAnswer: -20181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -25*a**3 + 169*a**2 - 13*a + 12. Let x(m) = -6*m**3 + 42*m**2 - 3*m + 3. Give 6*d(s) - 26*x(s).\nAnswer: 6*s**3 - 78*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, -1\/6, -2\/7, 1\/3, 58459, -1\/57?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 - (-4)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 3*u + 368, 108 = -4*c - u - 200. Let s = c + 122. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-112))\/((-180)\/288)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.015 - 61484.5405958.\nAnswer: -61484.5255958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/22))**(-3\/26)*o**(-12)\/o*o\/o**(-4))**(8\/3) assuming o is positive.\nAnswer: o**(-9134\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3 + 12 - 14*w + 3*w. Let p(s) = -1. Let o(r) = 5*r - 8. Let j(y) = o(y) - 4*p(y). Calculate 4*d(b) + 9*j(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 18, 0.3, -13, -4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*-26285\nAnswer: 52570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1660)\/(-340) - (-4)\/34. Suppose 22862 = 5*q + 4*j, p*j + 4567 = q + 4*j. What is q rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126618468 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 3*w - 3. Suppose -5*p - 36 + 11 = 0. Let v be ((-4)\/(-18))\/(p\/15). What is the biggest value in v, -4, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2756?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.2 * 0.04.\nAnswer: 0.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 63?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 34. Let g be v(38). Let m be (g\/4)\/(8 + 38\/(-4)). Suppose 0 - 9 = -3*s. Solve s*d = -2*u + 3*u + m, 2*d = 2*u + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, v: 1, a: 1, p: 3, h: 1}. What is prob of picking 1 k, 1 h, and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334923.8 centuries to millennia.\nAnswer: 33492.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 123 + 579 = 0. Let q = -43 - z. Calculate the remainder when q is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2391199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1072\/(-6)*12\/(-8). Suppose 3*j + 2*u - m = 153, -2*u = -3*j + 413. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 + 7427*p**2 - 14857*p**2 + 7425*p**2 + 19 + p + 3*p**4 in the form n*p**2 + q*p + d*p**4 + m*p**3 + u and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 331*m = -329*m - 13, 3*b = -2*m + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(-4) - 3\/(-12). Let b be (-3 - p - -3)\/(-1). Let v(t) = 4*t**3 + t**2 + 0*t**b - t + 2*t**3 - t**3. Calculate v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 777 - 494. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/43855 and -127\/7518.\nAnswer: 263130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -v. Suppose 3*c - 6 - 9 = v. Let g be ((-1)\/(-2))\/((-2)\/(-60)). Solve c*x - g = 5*t + 20, -3*x + 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-300)\/(-550) + 8\/(-36) + 2775\/(-9504). Let f(i) be the second derivative of -a*i**4 - 1\/16*i**3 + 0*i**2 + 0 - 18*i. Suppose f(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 953776905 to the nearest integer?\nAnswer: 30883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 + 5*x + 0*x**2 - 5*x**2 + 4. Suppose 5*t = -4*r + 37, t + 0*r - 5*r = -10. What is g(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1\/2. Let q(h) = 6*h**2 - 2*h + 1. Let y be q(1). Which is the closest to -1? (a) 3 (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 17 + -4 + (-24 - -17) + 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*i**3 - 37*i**3 - 31*i**3 - 32*i**3 + 34*i**3 - 71*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = 3*t - 3*s - 726, -5*t + 4*s = -1698. Let q be -1 - (t\/(-27))\/(2\/3). Solve -8*j + q = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 10*d + 1. Let w be z(-10). Let f = 37 - 42. Let i = 15 + -12. Sort w, f, i.\nAnswer: f, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 112479.3 and 0.187.\nAnswer: 112479.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 521875 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**3 - 2*n**3 + 2*n**3)*(-14 + 1 + 2) - n**3 + n**3 + n**3 to the form k + t*n**2 + d*n**3 + f*n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 885992 to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**4 - a - 1. Let i(k) = -k**4 + 9*k**2 + 5*k + 5. Let t(u) = -5*h(u) - i(u). Find the third derivative of t(r) wrt r.\nAnswer: 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -11*f**2 - 6. Let r(k) = -2*k**2 - 1. Let l(c) = -6*r(c) + v(c). Suppose i = -0 + 3. Let m(q) = i*q**2 - 4*q**2 - 44*q**2. Calculate l(m(n)).\nAnswer: 2025*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trlt when four letters picked without replacement from {l: 2, r: 2, t: 3, q: 5}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 o when three letters picked without replacement from {o: 1, s: 2, g: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 199*n**2 + 400*n**2 - 197*n**2.\nAnswer: 4*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8\/3))**1*(n\/(n**(-2\/5)*n))\/(n**9\/n) assuming n is positive.\nAnswer: n**(-154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-1 - 11) - 6 - 4 - 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150 - 150 + 244*m)*(-1 - 18*m + 41*m - 26*m).\nAnswer: -732*m**2 - 244*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1035\/230*2\/(-12)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1380361?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10755, 10766, 10789, 10830, 10895?\n\"Answer: s**3 + 4*s + 10750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2710 + -2707. Sort 4, v, 20.\nAnswer: v, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 865415.\nAnswer: 2596245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 212*y - 1765. Let g(f) = 353*f - 3529. What is 6*g(x) - 10*o(x)?\nAnswer: -2*x - 3524","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027 - -547?\nAnswer: 547.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in 4, -0.5, 1\/2, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 4 + 2)\/((-2)\/5). What is the biggest value in 2, j, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**2 - 3*y - 4. Let r be 6\/4*(-8)\/6. Let j(v) be the third derivative of 3*v**5\/20 + 7*v**4\/24 + 3*v**3\/2 - 3*v**2. Calculate r*j(o) - 5*g(o).\nAnswer: 2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Let a be -6 + 2 - 206\/(-4). Let o = a + -46. What is the closest to 1\/2 in -0.3, x, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**4\/8 - p**3\/6 + p**2. Let x be n(1). Is -1 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1883*o + 11429. Is y(-124) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8*-34.\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -85.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -1 (b) -1\/5 (c) -0.19 (d) 12 (e) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - -26*((-770)\/(-140) - (-6)\/(-2)). Calculate the greatest common divisor of 4540 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4093*w + 254940 = 4113*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/24143 (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10722758 is divided by 1775.\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 410323075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-5) + 22\/55\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11553239 is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/1935 and 127\/116795310?\nAnswer: 350385930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 360 = 9*m. Let s = m - -195. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606 (base 7) in base 11?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q + 86*q + 124 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2196996.\nAnswer: 2196997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 229 + -270. Sort 3, -5, p.\nAnswer: p, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 593185?\nAnswer: 10084145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2112093 and 72921?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 20 = 116. Let z(k) = -k**2 + 11*k + 19. Let i be z(j). Suppose i*y + 637 - 1540 = 0. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -660756 + -2269244. What is z rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(5\/4)*t**(1\/11))\/(t*t*t**(1\/3))**(-48) assuming t is positive.\nAnswer: t**(4987\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16279825 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1 + 21*k - 91*k + 18*k + 20*k + 26*k. Let v = 9 - 4. Let m be (4\/(-10))\/(1\/v). Give c(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 + 80*b**2 + 3*b - 122. Let a be g(40). Let w be ((-12)\/(-110))\/(2\/(-30)). Does a = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -5.43\nAnswer: 5.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 0*p**2 - 5*p**2 + (p**2 + 2*p**2 - p**2)*(-9 + 4 + 1) - p**2 - 8*p**2 + 6*p**2 - 3*p**2 + 0*p**2 + p**2 + (2 + 2*p - 2)*(3*p - 5*p + 4*p).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 333645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 754298, 1508598, 2262898, 3017198, 3771498, 4525798?\n\"Answer: 754300*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 55, 213, 465, 817, 1275, 1845?\nAnswer: 2533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 4)*(36\/216)\/((-1)\/(-2)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + d = 127 - 126, -11 = 3*v - d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + ((2034 - 2005) + (43 - 0) - (1 + 11)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = -1006 + 1042 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.4705133 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-1 - (3 - 3)). Suppose 4*l + l + 4*y + 20 = 0, 10 = l - m*y. Suppose 0 = p - l*p - 2. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) -62 (c) -0.5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 - 4249865*c**2 - 192 - 2*c**3 + 101.\nAnswer: -2*c**3 - 4249865*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/(-418)*((-168)\/(-16) + (-99)\/9) and -27\/95.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 320 = 5*b, -2 = 2*b - 10. Suppose -952 = -62*y + r*y. Does 28 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 2 - 29)\/(1\/(-5)). Suppose -17*j = -11*j - y. Suppose 0 = -0*b + 5*b - j, 3*b = 5*u - 5. Calculate the least common multiple of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4989 - 5511.8. Let s = -521 - p. Which is the second biggest value? (a) 4 (b) s (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwhwwhwhwwwhwhhw. What is prob of sequence whhw?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*m**4 + 5*m**5 - 11*m**4 + (3*m**4 - m**4 - 4*m**4)*(190 + 42*m - 190 + (3 - 6 + 1)*(0 - m + 0)).\nAnswer: -83*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-270)\/(-420))\/(((-6)\/(-18))\/(7\/(-18))). Let h = -0.3 - 0.7. What is the nearest to h in t, 0, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 14. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 256*b**4 - 10*b**3 + 2*b**2 - 150*b + 3.\nAnswer: 6144*b - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (3 - 0\/4). Factor -v**2 - 13*v**3 + k*v**2 + 11*v**3 - v + 5*v**3.\nAnswer: v*(v + 1)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 541 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190\/3 - -64. Let b = -1.92 + 1.9. Is n less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16346854 by 8173427.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -59392 (b) 11 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104.077 - 104. Let z = d + 0.423. What is the closest to 1\/3 in -2, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17828 - -196110\/11. Let v = 0.03 - -0.27. Which is the closest to 2? (a) v (b) 4\/7 (c) j (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 348 = -5*t, 4*t = -a - 4*a + 837. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 4*y + 6. Let q be g(5). Let x(w) = 6*w**3 + w**2 - 2*w + 1. Let f be x(q). Solve -f + 0*t + 2*t**2 + 2 - 2*t = 0 for t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppffpfpfxffpf. Give prob of picking 1 x, 2 f, and 1 p.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25550 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53 and -99.\nAnswer: 5247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4393\/5 (b) -10 (c) 2\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h**3*v**3 + 20*h**3*v**2 - 2*h**3 + 2458*h**2*v**3 - 2*h**2 + 2*h*v**2 - 13*h wrt v.\nAnswer: -48*h**3 + 14748*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 18*h - 4. Let s(w) = 2. Let z(d) = -q(d) + 6*s(d). List the prime factors of z(-12).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -2 + 116\/8 + 30\/20. Solve -3*k = o, -20 = 2*a - 54*k + 57*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.3 (c) 11\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1712 and 137723338.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t = t + 26*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 16) to base 12.\nAnswer: 1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152945 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/14 and -77\/7948?\nAnswer: 55636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03 and -166702.\nAnswer: -166701.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -242 + -110?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.699993 - 5.7. What is j rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-6)*(-84)\/30 - (-500)\/72?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*r + 412*r + 128*r + 403*r.\nAnswer: 1382*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03903 + 3.3282.\nAnswer: 3.36723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 68\/18 + (-2)\/(-9). Let t = j - 6. Are t and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*w = -53, 54*d + 53*d + 2*w + 48 = -50*d + 168*d + 225 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1099 + 1020 = 5*x - 2*r, 83 = -5*x + 4*r for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26afe - 5?\nAnswer: -26b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17940864*l**2 - 29823659 wrt l.\nAnswer: 35881728*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + (1 - (8 - 2 - 8)) + 57 + -64?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 4, 1 in increasing order.\nAnswer: -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, 0.4, -3, 1\/4 in ascending order.\nAnswer: -3, -2, 1\/4, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15253, -30492, -45721, -60934, -76125?\nAnswer: -91288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -6*y + 13*y. Is y < -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -195, -295?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 22, 4, -30, -86, -170, -288?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -12*a + 203. Let j = -36 - -50. What is the least common multiple of j and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3332210101031 - 13?\nAnswer: -3332210101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15627, -61178, -137109, -243426, -380135, -547242?\nAnswer: -744753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 626 by 3.\nAnswer: 626\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqkm. What is prob of sequence kmq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144\/11 + 543\/44. Let k(p) = -p**3 + 7*p**2 + 10*p - 8. Let g be k(8). Suppose -3*t - t - g = 0. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*q - d + 268, -q + 130 = 3*d. Calculate the highest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.8 + 18.8. Is -10\/9 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -73. Suppose -7*z + 11 = -h*z. Let y(s) = -s**2 - 3*s + 2. Let o be y(-3). Put -5, -3, z, o in increasing order.\nAnswer: -5, -3, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123179.\nAnswer: 7, 17597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {p: 12, y: 1, b: 7}.\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -9. Let n = y + 10. What is the remainder when n is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -575*l**3*y + 8*l**3 + 8*l**2 + 239*l - 68*y**4 wrt y?\nAnswer: -575*l**3 - 272*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 96*((-7)\/(-2) + -3). Let y(f) = -f**3 + 8*f**2 - 7*f - 6. Let x be y(6). Calculate the highest common divisor of x and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s, -3*s + 4*s + 18 = 4*k. Let x be (-62 - (4 - k)) + (-1 - 0). Let y = -27 - x. What is the greatest common factor of 60 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 1:31 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 459447215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/8*(-272)\/170.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vshv when four letters picked without replacement from {s: 9, v: 2, h: 2}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a**2 + a + 4. Let b be y(0). Let o = -51 + 43. Let r be (-2)\/13 + o\/(-52). Solve -5*t + b*t = r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 9*q**2 - 13*q + 13. Let o be b(10). Let p(r) = 3*r**2 + 5*r - 2. What is the remainder when p(-4) is divided by (9\/3 + o)*-1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 14*b + 378 = 0. Let l be 294\/b + ((-2)\/(-3) - 1). Let c = -0.01 - 0. Put -0.5, l, c in ascending order.\nAnswer: -0.5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17363661067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 4:23 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1663, 205, 2073, 3941, 5809, 7677?\nAnswer: 9545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1713146442 is divided by 6339.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = x - 1055998, 0 = -5*p + 2*x + 2*x + 1320008. Round p to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221\/4 + (-6)\/(-8) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3114 (base 11) to base 5\nAnswer: -113004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*q - 58761 = 0, 3*b - 48125 = q - 12867. Is 161 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*f + 118*f - 468*f + 109*f + 113*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*b - 87*b - 1257. Suppose 245 = 3*h - 5*k, -h + 6*h - 3*k - b = 0. What are the prime factors of h?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 529*g*t**3 + 2*g*t**2 - 2*g*t + g + 73 wrt t?\nAnswer: 3174*g*t + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.46 - -26.46. Let g = 26.1 - j. Let f = -8 + 11. Which is the second smallest value? (a) g (b) -3\/10 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001315477 to seven dps.\nAnswer: -0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*g = -2*g + 2419, -7262 = -6*c + 2*g. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/9 + (-4)\/6. Let h be 10\/25 + q\/10. What is the nearest to h in 2, 1\/2, 2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89\/382239 or -1?\nAnswer: -89\/382239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/6 and 37\/973104.\nAnswer: 973104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -17*q + 14. Let y(o) = 11*o - 9. What is -5*n(w) - 8*y(w)?\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 8*a**2 + 8*a + 5. Let v be w(-7). Let o be 18 + (-8)\/(-2) + v. Suppose -o = 5*b - 100. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 6\/37 (c) -1\/9 (d) 674 (e) 0.6 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -49 - 0)\/(56\/3640*-143). What is the closest to 0.5 in s, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from {a: 7, i: 1, e: 4, m: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24794.48138 and 0.1?\nAnswer: 24794.58138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004057537054 rounded to seven dps?\nAnswer: 0.0004058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**3 - 6*u**3 + 6*u**3)*(8 - 1 + 0).\nAnswer: 49*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.7 - 3.3. Let v = 36.396 + p. What is v rounded to 2 decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 19624\nAnswer: -1\/4906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 5*g**2 + 49*g - 123. Determine a(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16036387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 266 + -264. Let g(z) = -z**3 - 4*z**2 + 4*z + 7. Let f be g(-5). Let x = f - d. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*m)*(-34*m + 34*m + 24*m**2)*(0 + 1 + 0)*(1 - 2 + 3)*(7 - 4 - 2) + 51*m**2 - 40*m**3 - 51*m**2 to w*m + a*m**3 + u + v*m**2 and give a.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*o = -17, -l + o + o - 8 = 0. Suppose -l*f = 3*f - 75. Solve 0 = 4*k - f - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 380951, 1523821, 3428603, 6095297, 9523903, 13714421?\n\"Answer: 380956*h**2 + 2*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 975.8594 centuries to decades.\nAnswer: 9758.594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*-0.0812698.\nAnswer: 4.2260296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 - 72*b**2 + 16*b**2 - b**3 + 25*b**2.\nAnswer: 3*b**3 - 31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-90)*15\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-10) - (77\/(-35))\/(-11). Let h = 0.2 - 15.2. Let q = -14.4 - h. Which is the nearest to d? (a) q (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/4755168 and 191\/6484320.\nAnswer: 71327520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 2*l**2 - 2*l + 3. Let k(p) = 1968*p**3 + 2076*p**2 + 18*p - 27. Let m(o) = 9*d(o) + k(o). What is the third derivative of m(h) wrt h?\nAnswer: 11754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 + (7 + -6 + 36 - 33).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -47. Suppose g*f + 6*f = 24. Let u be -3*1*(-10)\/6. Solve -5*a + 5 + 2 = f*k, u = -4*k - a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2639 - 2629.914. Round l to 1 decimal place.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 102684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 461\/5? (a) 2\/9 (b) 1\/22 (c) -1\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 298503227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185930 divided by 37186?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1 + sqrt(300) + -1 + sqrt(300) + -3)**2 - (-5 + (2 + sqrt(147)*-2)**2))*4.\nAnswer: -416*sqrt(3) + 2516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -2\/3*h**3 + 0*h - h**5 - 4 + 0*h**2 + 0*h**4. What is the third derivative of q(c) wrt c?\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193336405?\nAnswer: 5, 38667281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 24*r**2 - 11*r + 270. Give v(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 159\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 63, 61, 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011110010110101111111 + -101?\nAnswer: -1011110010110110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 - -80.5. Let v = 0.07 - 0.1. Which is the closest to v? (a) g (b) -0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r + 27. Let m be c(18). Suppose -3*p = 5*d - m, 5*d - 185 = 10*p - 5*p. Suppose -31*w + d*w - 318 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7018*h - 1588*h - 1293625 = -711*h - 3734*h for h.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 525481?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*j = -152, -3*i - j + 220 = j. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15678 - -15686. What is the second biggest value in t, 4\/7, 0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-10) - (1 - (-40)\/(-25))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3227835305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 746942 * -0.2\nAnswer: -149388.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 20 + 8. Let y(l) = -4*l + 3 - 3. Let k be y(c). Solve 0*v - 4*v = -4*s - k, 2*s = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 - 4*n - 4. Let p be -6 + (4 - 2) + 0. Let a(t) = 3*t**3 + 7*t + 7. Determine p*a(w) - 7*q(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165665 is divided by 26258?\nAnswer: 8117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 8:10 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*r - 40, 0 = -4*b + b - 5*r + 40. Suppose -g + b = g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/44 - 167\/11. What is the units digit of (-219)\/i + 8\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 2197.\nAnswer: -18\/2197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -118, -182, -246, -310, -374?\n\"Answer: -64*h - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/11638 and -43\/10097.\nAnswer: 5109082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (663992\/355710)\/(12\/5).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6428*b - 1035508 - 1033685 + 2072409 + 3208*b**2 + 4*b**3.\nAnswer: 4*(b - 1)**2*(b + 804)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r. Let i(o) = o**2 - 5*o + 1. Let g be i(4). Let h be s(g). Let y be h + -2 + 2 + -1. Solve y*x - 7 = -2*f, 0*x = -4*x + 3*f + 24 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -254 + 343?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 37\/2, -5, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 249\/4*2780\/15. What is the highest common factor of b and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30512 is divided by 284.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -513.630467 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c65d2 (base 15) to base 11.\nAnswer: 4238442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/12*(3367 - 3373)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y\/((y*(y**(1\/9)*y*y)\/y)\/y*y)*y)\/y*y)\/y)\/(y*y**(1\/2)\/y) assuming y is positive.\nAnswer: y**(7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13212562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, o: 3, f: 11, y: 3}. Give prob of sequence oory.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 816*a**3 - 2*a**2*t**2 - 2*a + 48*t**2 + 113 wrt a?\nAnswer: 4896*a - 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23484257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 5*x**4\/4 + 3*x. Let g(d) = 5*d**2 + 4*d - 4. Let t(n) = -n**2 - n + 1. Let c(j) = g(j) + 4*t(j). Determine h(c(m)).\nAnswer: 15*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 5:05 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, b: 8, d: 4}. What is prob of picking 1 d and 2 f?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 - 22*x**2 - 18*x + 49. Let z be w(12). Suppose 0 = -3*a + z + 389. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 4*k - 55 = -63, 2*k = j - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -83*i - 5. Let d be z(-3). Suppose c - d = -3*c. What are the prime factors of c?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 140.8227 micrograms?\nAnswer: 140822.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 7*p + 4. Let w = 122 - 131. Let q be j(w). Let a(k) = 2*k**2 - 2*k + 4. Let l be a(5). Calculate the greatest common factor of q and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, o: 8, i: 1}. Give prob of sequence ooi.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2*u - 25. Let d(t) = t**3 + 3*t**2 - 12*t - 9. Let k be d(u). What is the greatest common factor of 8 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 89. Let r(a) = 4*a - 88. Let g(t) = -7*j(t) + 6*r(t). Does 27 divide g(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 8 - 50 = -5*z, 2 = 2*k - z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5794 - 0.2794. Which is the biggest value? (a) d (b) -163 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27347 is divided by 5412?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 15*g = -14*g + 5579, n - 2792 = g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2648521 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2 + 160605*h + 4981638 = 0.\nAnswer: -31, 53566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.0348?\nAnswer: 0.00348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w**(-4\/5)\/w)\/w))\/(w**(-6\/11)*w) assuming w is positive.\nAnswer: w**(239\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d + 3. Let x(u) = -1. Let m(l) = q(l) + 2*x(l). Let n be m(-1). Suppose 4*k = n*k - 35. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.151358 times 88?\nAnswer: -13.319504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from liiri.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -714773060008.9.\nAnswer: -714773060008.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 3*c**2 + 4*c + 3. Let o(d) = 8*d - 52. Let j be o(7). Let h be a(j). Let k(g) = 4 + 6*g - 2*g**2 + h*g + 2*g - 6*g. Determine k(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 5034050253?\nAnswer: 5034050253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 27 + -22 + -8 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 170, 404, 722, 1118?\nAnswer: 1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + (-2 + 0 - -3) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 783983 (base 12) in base 8?\nAnswer: 7232663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*g + 4*g - 4, 0 = 3*g + 4*u - 5. Suppose -3*w = -9 - 0. Let i(o) = g*o - w*o + o. Let c(m) = m. Determine c(i(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 2:14 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (112\/(-60) - 1) + 3. Which is the closest to -1? (a) -2 (b) n (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41526619 is divided by 13842203.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 916, 913, 910?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 498771 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26888706 and 10881.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83 - 75 - 153\/(-42) - 12?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a - 3. What is z(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -19) + 10488\/(-608). Factor 1\/4*x**3 - 1\/4*x**2 - 5\/4*x - w.\nAnswer: (x - 3)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**2 - 6*y**2 - 3*y**4 + (3*y - 7*y + y)*(3*y**3 + y**2 - y**2).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -922.23 + 928. Let m = 0.93 + r. What is m rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -104b - 3?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(66)*-1 - ((sqrt(66) + 4*sqrt(66) + sqrt(66))*-5 - sqrt(66) - sqrt(66)))\/((sqrt(6) + sqrt(294))*2 - sqrt(864)*-4).\nAnswer: 7*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17467, -17498, -17529?\nAnswer: -17560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 50. Solve t*u = 10*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.5937 + -3.0937. Let t = 0.3 - 0.2. Suppose -3*p - 5*f = 29, -4*f + f - 27 = 5*p. What is the third smallest value in j, t, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3055 is divided by 95?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 6*d**2 + 6. Let w be o(6). Suppose 10 = 11*i - w*i. Let l(g) = 0*g - 3*g - 13 + 4*g**2 - g**3 + i*g + 17. What is l(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40665 - 10788 + 6087 = 36*q. What is the smallest common multiple of 1 and q?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (23 + -36 + -62 - (-12 - (0 - 0)))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -5, -13 in descending order.\nAnswer: 4, -5, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 296, 1036, 2466, 4814, 8308, 13176, 19646?\n\"Answer: 38*l**3 + 3*l**2 + 3*l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 = v - 13. Let b be (v\/(-5))\/(3\/(-28)). Suppose 0 = -4*a - 2*c + b, 3*c - 6*c - 133 = -a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.5*-335918.\nAnswer: -1511631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.0258 times -9?\nAnswer: 144.2322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n - 1 + 1 + (13*n + 23*n - 2*n)*(-1 - 1 + 0).\nAnswer: -69*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.6281309us?\nAnswer: 0.000000027135515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16474?\nAnswer: 2, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Suppose -h*u = u - 12. Let q(l) = -l**u + 2*l - 3 + 2*l**3 + 3*l**2 - l. Determine q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:59 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 28. What is q(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 180 and -12.245.\nAnswer: -2204.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 24, 2, 4, -74 in increasing order.\nAnswer: -74, -2, 2, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 93356 to the power of 1\/2, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7 - 8\/7*q**2 + 9\/7*q**4 + 6\/7*q - 6\/7*q**3.\nAnswer: (q - 1)*(q + 1)*(3*q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 1. Let i be l(1). Suppose i*b + 158 = 2*h, 0 = -2*h - 4*b - 0*b + 198. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8 - 4)*-1*(4 + (-606)\/(-24)) is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 707985.0306 + 134.8694. Let m = -708169.89993 + s. Let x = -50 - m. Round x to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x + 2. Let y(p) = -3*p**2 + 158*p - 841. Let n be y(6). Let h(t) = -t. What is n*f(z) - h(z)?\nAnswer: -4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, -46, -106, -180, -262, -346?\n\"Answer: z**3 - 16*z**2 + z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-2) + -1)*-12. Let n be (0 - 1)*(i + -72). Do 78 and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21497293 + -6694794472538\/311425. Let d = 20563080441\/21176900 - l. Let t = d + -971. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3429863 and -12.\nAnswer: 41158356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 528 + -789. What is the units digit of (r\/4)\/((-30)\/160)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/33482 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268220 is divided by 33483.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 4*c**2 + 3*c. Let i(g) = -g**3 - g + 1. Let x(l) = 7*l**3 + 5*l**2 + 10*l - 6. Let n(z) = 6*i(z) + x(z). Give -4*n(j) + 5*r(j).\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -455*n**3*r**3*w**2 + 5*n**3*r**3 - 3*n**3*r**2*w**2 + n**3 + 9*n*r**2*w + 3*n*r wrt r?\nAnswer: -2730*n**3*w**2 + 30*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.5. Let t = 1403 - 1400. What is the nearest to t in 0.05, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 21783\/(-9))\/(341\/(-363) + 1).\nAnswer: 11, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2 - 1420*j - 22425 = 0. What is j?\nAnswer: -15, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750002 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1086442934 to the nearest integer?\nAnswer: 32961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 69, -3 in decreasing order.\nAnswer: 69, 24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k. Let o(z) = 53*z - 2. What is o(f(s))?\nAnswer: 106*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.51*-2.67742.\nAnswer: 1.3654842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 64 = 19. What is the smallest common multiple of (-73 - -63)\/((-2)\/5) and o?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/5 (b) 22.59 (c) 0.3 (d) -29.7 (e) -0.2 (f) 0.16\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1738, -3481, -5224?\nAnswer: -6967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 9*g - 7. Let a = -216 + 243. Calculate the remainder when a is divided by s(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -32, 9, -0.11, 3, -5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 94\/(-2)*(1 - 3). Suppose 5*c = -5*r - 465, -3*c - r + 22 - 299 = 0. Let o = u + c. Solve 6*d = o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1507.813 - 1509. Let y = -1.387 - d. Let c = -0.02 - -18.02. What is the fourth smallest value in 0, c, y, 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*o**2 - 279*o - 1 wrt o.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/162 and 64\/3.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/5, 1, -9, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 61415397378.\nAnswer: -61415397381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122694 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -77, -151, -227, -305, -385?\n\"Answer: -w**2 - 71*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -3822739?\nAnswer: 3822731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 5*u**2 - 5*u. Let r be x(5). Let a = r - -27. Factor -8*n**2 + a*n**5 + 2*n - 14*n**4 + 0*n**5 + 12*n**3 + 6*n**4.\nAnswer: 2*n*(n - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.004 (c) 649 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255, 1108, 2525, 4500, 7027, 10100, 13713?\nAnswer: 17860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5100910 and -6.\nAnswer: -30605460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*o - 127645 - 30330 = -176*o. Suppose -4*h + 130 = -110. Calculate the remainder when o is divided by h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*o - 1592 = 25*o - 312 + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 5218485?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/45948 and 125\/2898.\nAnswer: 3170412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 9 - 2)*(3*l - 3*l + l)*(-2 + 2 + 1 + (2 - 3 + 3)*(3 - 1 - 1)) to v*l + s and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 816653835 divided by -163330767?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -241, -232, -223, -214?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 29969.\nAnswer: -8\/29969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 55.06?\nAnswer: -16.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -6148?\nAnswer: 6148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2 - 7. Let q = 4 + l. Let g be ((0 - q)*2)\/3. Which is the third biggest value? (a) -1 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157a (base 11) to base 2\nAnswer: -11111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.5. Let q = 2 + -2. Let o(s) = -s**3 - 43*s**2 - 42*s + 4. Let g be o(-42). Which is the third biggest value? (a) g (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007732 rounded to 7 dps?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19\/212 - 1\/159. Let d(g) be the second derivative of 0*g**2 + 2*g + 0 + 1\/6*g**3 - m*g**4. Find the second derivative of d(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-1 - -2) - -1) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 9*w - 2. Let z = 1 - 7. Let c be p(z). Let x = c - -28. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11272, -22283, -33294?\n\"Answer: -11011*x - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 2*l + 1. Let j(u) = -2*u - 1. Let n(h) = 4*f(h) + 4*j(h). Let v(r) = 8*r**2 - 1795*r + 1795*r. Calculate v(n(z)).\nAnswer: 512*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**5\/360 - 5*u**4\/144 + u**3\/6 + 3*u**2 - 11*u. Factor y(g).\nAnswer: -(g - 1)*(g + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19223.\nAnswer: 47, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8133?\nAnswer: 3, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 3*w**2 + 2. Let r be b(-3). Suppose r = -4*v + 38. Suppose 6*p + 267 = v*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -319 - 24?\nAnswer: -33d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3447 - -8662. List the prime factors of z.\nAnswer: 5, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7488 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115089, 5, 2, 81.\nAnswer: 2, 5, 81, 115089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.307 - 145.307. Let r = 143 + i. Which is the fourth smallest value? (a) -3 (b) r (c) -0.3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13881994 to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2811.269g?\nAnswer: 2811269000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 2:16 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12610.31 centuries to years.\nAnswer: 1261031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2756*t. Let c(i) = 7*i**2. What is m(c(h))?\nAnswer: -19292*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okf when three letters picked without replacement from oofoookoookozokokkz?\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxexwxvvxeeve. What is prob of sequence ew?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -15 + 20 + -5 + 6. Let j = -4 + 4. Solve j = -c*p + p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4294 divided by -17.\nAnswer: 4294\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -17. Suppose 2*t - 43 = i. Let q be ((-4)\/(-10))\/((-5)\/t). Put q, 4, 0 in increasing order.\nAnswer: q, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 164*c - 9. Let q(r) = 42*r. Calculate q(b(k)).\nAnswer: 6888*k - 378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258.3528 - -281.\nAnswer: 539.3528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 1. Let x(q) = -q**3 + 5*q**2 + 6*q - 3. Let m be x(5). Suppose -3*k + m = 2*a, 5*a + 5*k = 2*k + 45. Determine y(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-20)*(-170)\/(-25585)*-43.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 552557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + h - 1. Let t(g) = 2*g**2 + 2*g - 1. Let k(s) = -6*f(s) + 2*t(s). Let u(w) = 7*w**2 + 8*w - 15. Let v(d) = 22*k(d) + 6*u(d). Factor v(z).\nAnswer: -2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8971*x**3 - 12*x**2 + 11*x - 28. Let z be k(-12). Round z to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2617*h + 4230. Calculate n(2).\nAnswer: -1004","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 1. Let l be n(2). Let x(t) = -t**2 + 10*t + 11. Let g be x(l). Which is bigger: 3\/4 or g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -49*r - 1440. What is the remainder when 188 is divided by h(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + 76 + -72 + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55739\/51 - 1093. Let r = -101\/1938 - i. Let p = -119\/190 + r. Sort -1\/7, 0.2, p in ascending order.\nAnswer: p, -1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (3 - -2) - (1 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2 - 345*b - 21546 = 0.\nAnswer: -54, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 5*p + 4. Suppose 4*o - 3*b - 13 = 2*b, -2*o = b - 17. Let k be l(o). What is the highest common factor of 126 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/7162860 and 161\/53721450?\nAnswer: 107442900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-4) + (-11 - 342\/(-36)). Let f(v) = v**2 - 1 - 5*v**2 - 1 + v - v**3. Let a(r) = 2*r**3 + 9*r**2 - 2*r + 5. What is m*a(w) - 9*f(w)?\nAnswer: w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -69*i - 11. Let b(a) = -35*a - 5. Let s(r) = -9*b(r) + 4*z(r). Suppose 5*u - y - 10 = y, -8 = -4*u + 5*y. What is the tens digit of s(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -9*h + 17. Let l(o) = 17*o - 34. Let k(t) = -6*l(t) - 11*q(t). Let x be k(4). Solve -3*i = n + 17, x*n - 3*i - 6 = -19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) -0.06 (c) -0.1 (d) -5\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 59 + 805. Suppose 2*j - 234 = -0*j + 2*m, 4*j + 5*m - q = 0. Suppose -5*d = l - 0*l - j, 4*d - l = 85. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 948.309m in nanometers?\nAnswer: 948309000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61331823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 118 - 23.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3150153221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - ((-3)\/(-3) + -4)) + 32. Suppose 87 - q = 4*v. Let m(r) = -r**2 + 18*r + 29. What are the prime factors of m(v)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 128*p + 51*p as j + c*p and give c.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 42.8. Sort c, -29\/6, 0.1.\nAnswer: -29\/6, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*o**5 + 212*o**4 - 5*o**3 + 20*o**2 - 126*o + 1 wrt o?\nAnswer: 420*o**2 + 5088*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234470, -234427, -234364, -234287, -234202, -234115?\nAnswer: -234032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*n**4 + 154 wrt n?\nAnswer: 64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13667 = 5*n - 3382. Let v = n + 3657. What is v rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -638.612 - -0.612. Let r = -637.9551 - o. What is r rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11276, -21446, -31618, -41792, -51968?\nAnswer: -62146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1131*m**2 - 26*m**4 + 25*m**4 - 2*m**3 - 1127*m**2 - 5*m - 22 to u*m + l*m**4 + y + f*m**2 + t*m**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, -6 in descending order.\nAnswer: 1, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -925, 419, 1763, 3107, 4451?\nAnswer: 5795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90356*p**3 + 242646*p**2 wrt p?\nAnswer: -542136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 808 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 2 + -2)*2. Let a be (0 + (1 - 1))\/p. Let g be ((-3 - -3) + a)*-1. Is g not equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/((-3)\/((-15)\/2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824006449?\nAnswer: 7, 59, 269, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111110212211 - 200?\nAnswer: 111110212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 10532089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.046 + -4.046. Let u = -30 - -33. Put u, p, 2\/11 in decreasing order.\nAnswer: u, 2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209710, 419455, 629200, 838945, 1048690, 1258435?\nAnswer: 1468180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 3*h - 4*h + 225 - h as g*h + x and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1806 from 3.0265376.\nAnswer: -1802.9734624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 781 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h**0*h*(h\/h**(2\/7))**29)**(-21) assuming h is positive.\nAnswer: h**(-603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-151*c - 93*c + 43*c)*(5*c**2 - 3*c**2 - c**2 + (1 - 1 + 2*c)*(-2*c + 2*c - c)) to p*c**2 + u*c**3 + b + l*c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/90 - r**4\/36 + 2*r**3\/9 - r**2 - 3*r. Let i(d) be the first derivative of w(d). Let i(f) = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959921 is divided by 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -474 divided by -6?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 104*q - 395. Calculate x(-100).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3829*r - 3790*r - 674817 = 0. Is r a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 10*p + 12 = -2*n + 17*p + 12*p, 12 = -2*n - 4*p for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 - 28.98. Let f = -30 - z. Which is the second smallest value? (a) f (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2359 = -43*s - 63*s - 239 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-60) + 7\/42. What is the second biggest value in 2, y, -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26090*m - 389553216 + 389553216)*(-m**2 + 0 + 0)*(0 + m + 0).\nAnswer: -26090*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -647874 + -0.006?\nAnswer: -647874.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 53, 108, 181, 278, 405, 568?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b483 (base 15) to base 12.\nAnswer: -43459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14023372 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 21 = -21. Suppose 5*b + 3*g + 0 + 10 = 0, 2*b = 3*g - 4. Let k be v\/(-9) + b\/6. Solve 4*u - 4*n + 5*n = -6, 0 = -4*u + n - k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from djdjdjjj.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 5*c**2 - 2*c**2)*(1 + 1 - 5 + (1 - 2 + 3)*(4 + 0 - 1)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3846000 (base 10) to base 9.\nAnswer: -7211643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/7637504 and -119\/60.\nAnswer: 114562560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-75)*-6)\/((-76)\/(-10)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:02 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 80, 340, 764, 1346, 2080, 2960, 3980?\n\"Answer: -r**3 + 88*r**2 + 3*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24002 is divided by 135.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (2 - -12))*-1. What is the greatest common divisor of v and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165322\/17 bigger than 9726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 10*c + d = 67543, -c + 33769 = -2*d. List the prime factors of c.\nAnswer: 3, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259777, 259760, 259723, 259660, 259565, 259432?\nAnswer: 259255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*v + 16 = -82, 4*v + 152 = 4*f. Calculate the lowest common multiple of 54 and f.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33463151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1414)\/6*((-108)\/(-8))\/9. Let q = 404 + l. Let g = -101 + 685\/6. Find the common denominator of g and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + d = 38256, 3*z = -4*d + 37113 + 20276. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164 and 31324?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**3 + 14. Let u(x) = -4*x**3 + x**2 - x + 13. Let w(p) = -4*u(p) + 3*y(p). Is 17 a factor of w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/15 - 1\/3. Suppose q = 3*j + 2*j + 20. Let c be (-6)\/j*32\/(-12). Do -5 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 + 5*c + 8. Suppose -2 + 1 = v. Let w(o) = o**2 + o + 1. Let r(t) = v*j(t) + 6*w(t). Does 4 divide r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/53 + 103\/159. Factor 0 - g*d**2 + 0*d + 2\/3*d**3.\nAnswer: 2*d**2*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**6\/3 - 122*h**5\/35 - 59*h**4\/14 + 338*h**3\/21 - 6*h**2 - 3831. Find l, given that j(l) = 0.\nAnswer: -7, -3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12314, -13103, -14418, -16259, -18626?\n\"Answer: -263*m**2 - 12051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:55 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684594 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, z: 2}. Give prob of sequence kz.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, -2, 13.\nAnswer: -2, 0.2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -503346, -505048, -506750?\n\"Answer: -1702*y - 501644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18019359, 18019362, 18019365, 18019368, 18019371, 18019374?\nAnswer: 18019377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 6*h**2 + 8*h - 7. Let u be d(7). Suppose u = -f - 5*f + 54. Calculate the remainder when f is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 21*u + 142. Let n be t(11). Calculate the greatest common factor of 432 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from {q: 1, t: 1, i: 3, b: 4, r: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 + n**3 + 3074*n**2 - 5628*n**2 + 2554*n**2.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2704.8933s in minutes?\nAnswer: 45.081555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 - -53280.\nAnswer: 53308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - -2692?\nAnswer: 2706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 16, 28, 46, 70, 100, 136?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a week?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 93, 197, 343?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7 + 1\/(3\/2301)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, y: 1, q: 4, c: 1, m: 2}. Give prob of picking 1 c and 1 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459406 is divided by 272.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9) + (-484)\/(-132). Let h(v) be the first derivative of 16\/3*v**3 + 10*v**2 + 4*v + w. Suppose h(l) = 0. What is l?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 63. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = v - 3*w - 18, 0*v + 3*v - 4*w = -89 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 119*g**2 - 2*g - 3. Let l be s(2). Suppose 0 = 5*b - 3*c - l, 0 = 2*b - 3*c + 8*c - 200. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(108) + sqrt(12)))**2 - (3 + sqrt(7) + -3).\nAnswer: -sqrt(7) + 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -391 (b) -2\/3 (c) -16 (d) 323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c - 4. Let h be 2*(-1)\/2*0. Let u(r) = -r + 6. Let z be u(h). Let y be k(z). What is the greatest common divisor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13397683.\nAnswer: 13, 17, 60623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 1. Let i(a) be the first derivative of 2*a**3\/3 + a**2 - 2*a + 357. What is i(h) + o(h)?\nAnswer: 3*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 38 - 43 - (24 - 1) - (6 - -2)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brt when three letters picked without replacement from bdttqtdttxqbqqr?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 569238\nAnswer: -1\/94873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2402103 (base 6) to base 10.\nAnswer: -124887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 184*g**2*w**4 - g**2*w**3 + g**2*w**2 + 11*g**2*w - 2*g**2 - 8740*g - 885*w**4 wrt w.\nAnswer: 4416*g**2*w - 6*g**2 - 21240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-160)*2*(5 + (1 - 0)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/y**(-1\/6))\/y*y\/y**(-1\/2))**(1\/41))**(-25) assuming y is positive.\nAnswer: y**(-200\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6\/17)*d**(1\/2)*d*d*d assuming d is positive.\nAnswer: d**(107\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*o - 0*o. Let w be 3*6\/(-27)*o. Let -f**4 + 4*f**4 - 3*f**4 - f**4 + 2*f**3 - f**w = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, a: 2, g: 6, r: 2, m: 1}. Give prob of picking 1 d, 2 g, and 1 r.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (175\/(-10) + (30 - 2170)\/(-107))*2\/430.\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.0614 (b) -5 (c) -0.01 (d) 0.5 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 52*w - 52*w - 5*w**2 + 2. Suppose -2*l + 0 = 2*i + 6, -i + 2*l = 9. Let d be y(i). Solve -v + 10 - 27 = -3*r, 0 = 2*v + d*r - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g*g*g*g**(-3)*g)\/g)\/g)**(-16))**(-9\/7))**13 assuming g is positive.\nAnswer: g**(-1872\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 81, 196, 363, 588, 877?\nAnswer: 1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1930051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 2\/23, -46, -2, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.7 + -2.7. Let r = w + -13. What is the closest to 0.1 in 3, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 2*k - 1. Give x(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/6)\/r**(-7\/5) assuming r is positive.\nAnswer: r**(37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 7 = 5*g, -2*o = 2*o + 12. Let v = 17 + -10. Solve -g = -2*p - v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/206, 0.1, -2\/9 in descending order.\nAnswer: 0.1, -1\/206, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-5)*(19\/(-76)*68 - 13)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-308)*(-29)\/(-58)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, v: 1, b: 1, g: 3}. What is prob of picking 1 v and 2 g?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a6 + 5?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51\/82 + -5749\/410. Let k = -159\/10 - t. Let d = 104\/3 + -34. Which is the nearest to d? (a) k (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 11*p + 1. Let g(i) = -2*i**2 + 21*i - 2. Let a(r) = 4*g(r) + 7*s(r). What is the units digit of a(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -0*g - 1746. Let h = g - 32. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 10. Let z = -43 + 21. Let l = z - -43\/2. What is the smallest value in l, 0.5, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -3*b - 19 + 25, -4048*v = -2*b - 4049*v + 19 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 4. Let i = -44 + 50. Let o be s(i). Suppose -2*z + 6 = 3*h, h + o*h = 6. Which is the closest to z? (a) 1\/3 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*g - 3*d, -4*d - 2032 = -76*g + 586*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 7. Let s(n) = -n + 1. Let t = 46 - 45. What is t*y(k) + 5*s(k)?\nAnswer: -4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/7 - 649*p**3\/7 - 108789*p**2\/7 - 1125751*p\/7 - 1017610\/7 = 0. What is p?\nAnswer: -319, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-2) - -1 - 14. Let f = j + 12. Solve -f*g + 5*g + 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47344837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5245*k - 4*k**2 + 5249*k - 10494*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9368 or -9364?\nAnswer: -9368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9922241?\nAnswer: 7, 1417463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 174.007918 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(72) + (1 + sqrt(72) - sqrt(72)) + sqrt(72) + -2 - (-2 + sqrt(72) + 0))**2.\nAnswer: 72*sqrt(2) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, 185, -0.5, 0.5, -3 in ascending order.\nAnswer: -3, -0.5, -0.3, 0.5, 1, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/4712 and -31\/440?\nAnswer: 259160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -524399639\/4 <= -131099911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from {o: 1, e: 4, x: 1, w: 1, u: 5}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -754827*v**6 - 6*v**4 - 6304333*v**2.\nAnswer: -90579240*v**3 - 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1255 + 7939 - w**2 + 1291 + 4*w**2.\nAnswer: 3*w**2 + 10485","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 80*q + 5. Suppose 8 = -196*z + 400. What is s(z)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*m*x**3 - 61554*m*x - 5*x**3 - 14*x**2 + 914*x - 9 wrt m.\nAnswer: 55*x**3 - 61554*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4 + 4.3. Let t = -0.8 + s. Is -20 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**2 + 3*v - 2. Let p(n) = -2*n**2 + n - 1. Let u(r) = 6*o(r) - 17*p(r). Let y(d) = 2*d**2 - d - 6. Let c = 2161 + -2156. What is c*u(b) + 4*y(b)?\nAnswer: -2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(304) + sqrt(2299)*2 + (-3*sqrt(228))\/sqrt(12)*-3)*3)**2.\nAnswer: 90459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*g + 29, 28*g - 33*g + 43 = 4*l. Let a(y) be the first derivative of -18*y + 0*y**l + 5\/3*y**3 + 23. What is the derivative of a(x) wrt x?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223872*v - 223885*v = 1547 for v.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a - 56 = 0. What is the greatest common factor of a and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1221761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -21\/4 (b) 1.56 (c) -3 (d) -4 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y**2 + 3. Let a(i) = -9*i**2 - 2. Determine 3*a(h) + 2*v(h).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (12\/756*-21)\/(0 - (-14)\/24)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 440168 * 50\nAnswer: 22008400","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 439 and 16577.8.\nAnswer: 7277654.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/32 and -59\/2838?\nAnswer: 45408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a1a - 2?\nAnswer: a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*o - 135631*o**2 - 47*o + 271298*o**2 - 135662*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -107849146?\nAnswer: -64709487.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22.3? (a) -1 (b) -3 (c) 7\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 1:14 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 at most as big as -477\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3745517, -7491054, -11236591, -14982128, -18727665?\n\"Answer: -3745537*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - -1*sqrt(325)*2)**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4698, -18978, -42754, -76008, -118722, -170878?\n\"Answer: 3*w**3 - 4766*w**2 - 3*w + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 0*q**2 + 0*q**2)*(-q + 3*q + 0*q) - 17*q**3 + 981*q**2 - 981*q**2.\nAnswer: -21*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -92682 divided by -6?\nAnswer: 15447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5870711299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 8:43 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1))**(-8\/9)*(o\/(o\/(o**(-1\/3)\/o)))\/(o\/(o**(-1\/3)*o))*((o\/((o**(-1\/3)\/o)\/o))\/(o*(o\/(o\/o**(-1\/5)))\/o*o*o))**0 assuming o is positive.\nAnswer: o**(-31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1, -0.5, 2, -24?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o**2 + 194*o + 464. Let s be y(-10). Let l = 13 + -9. Solve 5*a - s = -l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 152, -17, -1, 17 in decreasing order.\nAnswer: 152, 17, 2, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 15 + 4 + 0 - -2 - 40.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 14*t**3 + 731*t**2 + 251*t + 4932. Determine y(-52).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*q + 15 - 18*q + 60*q - 3 as v + c*q and give c.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 689 + -361. Suppose -h - 505 = -4*p - 173, -4*p + 2*h + o = 0. Calculate the highest common divisor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14423.71332 and -5.377?\nAnswer: 14418.33632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*v = -48, -2*k + 4*v + 71 = 17. Let y be 6*k\/(-12)*-2. Calculate the highest common factor of y and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010010110000001110 (base 2) to base 5.\nAnswer: 41321313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352 and 29656.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1527, -1976, -2425, -2874, -3323?\n\"Answer: -449*b - 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2806751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 820988*q**6 + 1019209*q**2.\nAnswer: 98518560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-3\/14))\/a**(-18\/7))**(-4) assuming a is positive.\nAnswer: a**(-106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/62 - 22568\/7688.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -12?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*p**3 + 65*p**3 - 63*p**3 - 31*p**3.\nAnswer: -190*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10728795 divided by -2145759\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 48 + 2 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = -21*d + 34880000. Suppose 6*y = 7*y - d. Round y to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4200449 divided by -381859\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 + 0*t**2 - t**2 + 2 + 3*t**2 - t**2 + 5*t - 2*t**3 in the form p + y*t**3 + q*t + g*t**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/374 in 1, 4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-74)\/308 - (-5 + (-165)\/(-35)))*1 and (-5)\/15 - 651\/396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - 11.8. Let a = -12 - t. Let f = -0.9000055 - a. Round f to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suuu when four letters picked without replacement from uussuss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/3 + 16*m**3 - 128*m**2 + 1024*m\/3.\nAnswer: -2*m*(m - 8)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3685, 14890, 33565, 59710, 93325?\n\"Answer: 3735*i**2 - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (726*n - 91*n + 97*n + 1661*n + 576*n)*(4*n + 0*n - 3*n).\nAnswer: 2969*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*n - 55 = 0, -i - 4 = i + 4*n. Suppose i*v - 5*v = -339. Let w = -9 - v. Is 36 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15913?\nAnswer: 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 651 - 650. Let q(b) = 1358*b - 1. Is q(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -242\/83607?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 5*z + 437 = -252, 337 = 3*c - 4*z. Suppose 0 = 27*t - 1253 + c. What is the remainder when t is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**6\/135 + 2*a**5\/45 + 19*a**4\/54 + 14*a**3\/27 - 58*a. Solve s(y) = 0 for y.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 1124 = -2*h + 256, 2*u = -3*h - 1280. Let d = -1540 + 12413\/8. What is the common denominator of d and h\/6*(-2)\/(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 11*g + 5. Let z be l(11). Suppose -z*h = -5*k - 20, 0*k + 1 = -k. Solve 5*x - 20 = h*p, p + x = 5*p + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 5*s = -13*w + 40, 0 = 5*s - 20. Suppose -3*i - w*i = 45. Let y(k) = k**3 + 4*k**2 + 3*k - 4. What is y(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - (sqrt(108) + sqrt(108) + 0)*4 - 6*(0 + sqrt(108))) + -5)*4)**2*-2.\nAnswer: -584864 - 24960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 626648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c06046 + -2?\nAnswer: -1c06048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 77280 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 622 + 33. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1046950056 - -1046950107.00000005. Let t = -49.692 + -1.308. Let p = t + j. Round p to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 10:40 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10 - 3*z**2 + 2*z**2 + 2 + 93*z**3 + 7*z**2 + 2*z. Let m be t(-4). Is m\/(-20) - 3\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o - 42*o + 29*o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.34 - 0.4. Suppose -118 = 26*y - 66. What is the nearest to 0 in 1, y, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37\/90 + -3\/10. Let n = 5\/16 - -19\/16. Which is the second smallest value? (a) n (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 - 98. Solve q*k**4 - 2 - 6*k**3 - 21*k**2 - 11*k - 2*k**4 - 7*k**4 - 11*k**3 = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*o + 3462 = 0, -2*w - o - 507 - 885 = 0. List the prime factors of (w + -11)\/(9\/(-6)).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60248509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2358 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*c = 71 + 15, 73566*c - 146 = r + 73573*c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5371 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 1. Let c be w(-1). Let g = -1 - -4\/5. Is c >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-4) - (-42)\/8. Suppose -b*u - 5 = -2*u - l, 0 = -5*l + 25. Solve 4*w = -u*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-16))\/(p*(p\/(p*p*p**21)*p*p)\/p*p))**(2\/15) assuming p is positive.\nAnswer: p**(74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3996)\/486 - (-4)\/18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2*sqrt(4896))\/sqrt(2))**2 + -4 + sqrt(833)*3.\nAnswer: 21*sqrt(17) + 9791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(-10\/7)*b)\/b)\/b**(4\/3))**(32\/7)\/((b*b\/(b*b*b**3))\/b*b**(2\/5))**(1\/67) assuming b is positive.\nAnswer: b**(474326\/49245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 534.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p**2 - 1. Let i be y(1). Suppose -i*x = 4 - 9. Let o be (-4)\/(x*(-3 - -1)). Solve o = d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b384 (base 12) to base 6\nAnswer: -1430244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 7*i - 4. Let l be o(-6). Find h such that -39*h**2 + l*h + 48*h**2 - 3*h**3 + 10*h = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (7 + 0 - (39 + -43)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 16 = -n. Let c(g) = -6*g**2 + 5*g. Let l(u) = -7*u**2 + 6*u. Give n*c(j) + 5*l(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f. Let v = 28 + -83\/3. Let o(x) be the first derivative of 0*x + 0*x**2 + 2 + v*x**3. What is o(k(j))?\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**2 + 2*h + 5. Let k be o(0). What are the prime factors of 3 - 12\/(k - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1217*z - 142107 = -341*z + 104*z + 47*z for z.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39780085.\nAnswer: 5, 17, 468001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 46561671 to the power of 1\/3, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16728 (base 11) to base 15.\nAnswer: 6e6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 + 9320*t - 97720200.\nAnswer: -2*(t - 20970)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 4. Let z be o(3). Suppose -n = n - z. Suppose 92 = 5*s - 2*b, s - 37 = -s + b. What is the remainder when s is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y - 7. Let t(g) = 5*g - 4. Suppose -3*z + 5*z - 4*u - 24 = 0, -5*z + 3*u + 81 = 0. Let h = z + -13. What is h*t(o) - 3*n(o)?\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1094\/4437 - 12\/493. Let g = -1 - 1. What is the nearest to -1 in y, 0.02, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllr when four letters picked without replacement from qqqlqrnlq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 f when three letters picked without replacement from {d: 3, f: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378460?\nAnswer: 2, 5, 127, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 3:23 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 139.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(49) - ((sqrt(343) - 4*sqrt(343)) + sqrt(343))\/sqrt(7) - sqrt(49))\/sqrt(7).\nAnswer: 4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1656)\/736)\/(3\/68)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -310 + 522. Let g be 50\/(-63) + u\/371. Which is the nearest to 2\/7? (a) -3\/28 (b) -0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*b - 50*b + 2*m = 137, 5*m = -4*b + 178. What is the remainder when 142 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 939\/8 - 117. Suppose -65*m + 60*m - 18 = 4*v, 3*v - 2 = 4*m. Which is the fourth biggest value? (a) 3 (b) i (c) 2\/7 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 9280.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -976, 0.4, -4\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924 = 516447*n - 516411*n - 624 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/21, 2, 0, -2\/73, -4\/5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 times 0.23\nAnswer: -0.0644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouf when three letters picked without replacement from {u: 1, e: 2, o: 1, n: 5, f: 3, j: 3}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 12, -21, -55, -3 in decreasing order.\nAnswer: 12, -1, -3, -5, -21, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 160*j**2 + 1505*j + 472. Determine x(9).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100010010110 (base 2) to base 4.\nAnswer: 13202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -21021*u + 21028. Give f(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7366*c**6 - 105*c**4 + 325*c**4 - 110*c**4 - 7982*c**2 - 110*c**4 wrt c?\nAnswer: 883920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26489190 a multiple of 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*n**2 + 4*n**2 + 2*n**2 + 2*n**3)*(-31 + 66 + 23)*(2 - 2 - 1) in the form a*n**3 + m*n + o + q*n**2 and give a.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 2*sqrt(13) + -4)*4 + -3 + 4.\nAnswer: -15 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.519 - 21.8. Let z = -2.951 - -2.84. Let g = z - c. What is the second biggest value in -5, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 2*r - 19. What is u(4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4 - 45*o**3 - 314*o**2 + 360*o = 0. Calculate o.\nAnswer: -36, -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*l + 16312 = 3*g - 114*l, 4*g - 21742 = 2*l. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 - -120.99999844. Round g to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = -3*i + 248. Let a be 75\/60 + 230\/8. What is the highest common factor of a and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 186\/45 - (-14)\/(-105). Suppose z*i = 3*i. Solve i*t = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = -9700040. Suppose -2624975 + 12555035 = 6*u. Let z = u + d. What is z rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrrrrrrqrrzurzlsrrlr. Give prob of sequence zs.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x - 3. Let b be (1\/2)\/(x\/36). Solve 5*i = 2*l + b, 5*l - 12 = 2*l - 3*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r. Let f(b) be the first derivative of 0*b + 10\/3*b**3 + 12 + 0*b**2. Calculate f(q(w)).\nAnswer: 250*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -19. Suppose -3*m - 2*m + 3*c = k, 2*m + 5*c - 13 = 0. Let j = 123 + m. What is the remainder when j is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 1. Let v be p(0). Let c = v - 0. Is 46\/(c\/(-2)*2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4*v + 36 = 18, o + 5*v + 12 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**3 + 0*m**6 + 0*m**5 + 0 - 7*m + 0*m**4 + 0*m**2 - 4\/21*m**7. What is the second derivative of i(o) wrt o?\nAnswer: -160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 3, m: 3, a: 5, h: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 901.3? (a) -2 (b) 21 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1283710870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*t*z + 2*j**2*x**2*z - j*t*x**2*z - j*t*z + j*x*z - 2*t*x*z + t*z - 717*t - 126206*x**2*z wrt x.\nAnswer: 4*j**2*z - 2*j*t*z - 252412*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1893*f - 404321 + 315350 = 0 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m + 16. Is i(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f**3 + 10*f**3 - 8*f + 3 + 4*f. Let x be y(2). Solve w = -x*k + 8, -k + 2*k = -5*w + 26 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/57)*v*v**(-9)*v\/v**13*v\/v**17 assuming v is positive.\nAnswer: v**(-2050\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*m + 76 - 85 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-574)\/(-53095))\/((-1)\/5).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1436911357 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 35 = 1. Suppose -28*c + 720 = -y*c. Suppose 4*m - 24 = -3*b, 2 + 1 = -m. What is the greatest common factor of b and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, -2\/9, -674291, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 230*q**2 - 4*q + 14. Let j be u(16). What is j rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/10 + 2)\/((-15)\/(-12)). Suppose -8 = l*c, -6*n - 3*c = -2*n - 32. Suppose -3*f = -7*f + 308. Calculate the greatest common factor of n and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2db (base 16) in base 4?\nAnswer: 23123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 0.011624\nAnswer: -0.0092992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 200, 930, -4, 3, -7 in decreasing order.\nAnswer: 930, 200, 3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 e when three letters picked without replacement from eqqqeqqqqqqmqq.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 157*q - 24649\/2.\nAnswer: -(q - 157)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**5 - 20*n**4 + 575*n**2 - 40225*n?\nAnswer: 40*n**3 - 240*n**2 + 1150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + -1*(-4 + 0 + sqrt(1088)))**2.\nAnswer: -16*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3345107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 30 + 36258*d - 36258*d.\nAnswer: -2*d**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 9) to base 3.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*h + 32. Let x(f) = f**3 + 20*f**2 - 16*f + 14. Is x(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t + 130. Calculate the lowest common multiple of 2 and p(5).\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 - -104. Let q = -17 - -15. Which is the nearest to 0.1? (a) -4 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11054866 is divided by 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56785*x - 507 = 56701*x - 6135 for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9143260.\nAnswer: 2, 5, 7, 65309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5076)\/(-3102)*836\/(-266)?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-192)\/(-20) + (-4)\/(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - ((2 + -10)\/(-4) - 78). What is the highest common divisor of j and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3 - -2) + 289\/323. Which is the third biggest value? (a) -5 (b) 0 (c) t (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (601 + 270*k - 600 - 11*k)*(5 - 3 + 0 - 3 - 1 + 6 + (-3 + 2 + 0)*(0 + 2 - 4) - 4 + 3 + 2) to the form s*k + d and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17 + -5 + 1 - 8. Let p(o) = -5*o**3 - 6*o**2 + 6. Let j(w) = -4*w**3 - 5*w**2 + 5. Give u*p(m) - 6*j(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -20*b - 3. Let v(k) = -19*k - 4. Let u(m) = -1308*m + 2611. Let z be u(2). Calculate z*v(j) + 6*x(j).\nAnswer: -25*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627188?\nAnswer: 2, 156797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5943 and 9?\nAnswer: 17829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/4735? (a) -102 (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*t)*(-8*t + 8*t + 2*t**2) + 157*t**3 + 173*t - 173*t to the form d + v*t**2 + b*t + q*t**3 and give q.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 0, 4\/7, 1.3, 15.8 in decreasing order.\nAnswer: 15.8, 2, 1.3, 4\/7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9826770 divided by -30?\nAnswer: -327559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/190 - -687\/190. Factor -2\/5*h**2 - a + 12\/5*h.\nAnswer: -2*(h - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 + 9*n**2 + 7*n - 1. Let l(w) = 2*w**3 + 10*w**2 + 8*w - 1. Let o(x) = 5*l(x) - 6*v(x). Let i be ((-2)\/5)\/((-93)\/(-465)). Give o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 66868*d - 66869. Calculate h(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 293436 and 693?\nAnswer: 2054052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-6 - -14)) + -4 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 + p**2 + 3*p**2 + 2*p**2. Let g(a) = 2*a**2. What is h(g(f))?\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from gggufgufgfggffggfggf?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -692 - -187. Let n = 178831\/15 + -34235\/3. Let f = n + t. Calculate the common denominator of f and -48.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5*q = -2*t - 132, 2*t - 172 + 39 = 5*q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 438671 + -187753. Let q = y + -1500918. Round q to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 702, 714, 730, 744, 750?\n\"Answer: -u**3 + 8*u**2 - 5*u + 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -884*32\/1184?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 242*h*n**4 + 3*h*n**3 + 2*h*n + 20*n**3 + 139*n + 10 wrt n?\nAnswer: 2904*h*n**2 + 18*h*n + 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24696 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -96\/13358881 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5480.1 - -5480. Let p = -4 - -7. What is the closest to 0.2 in p, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 1. Let c(m) = -6*m**2 + 1. Let q(s) = -c(s) + u(s). Let y be q(1). Put 0, y, -5 in descending order.\nAnswer: y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -37?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - p - 3. Let y(t) = t**4 + t**3 - 8*t**2 + 3*t + 9. Let z(f) = 6*x(f) + 2*y(f). Let z(w) = 0. Calculate w.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -w - 3, 4*w - 11 = -w - u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1921*v + 5778*v - 1946*v - 1916*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Let z = -319426 + 1597133\/5. Which is the fourth smallest value? (a) -2\/3 (b) z (c) i (d) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34305091547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.4, 5, -14.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2648.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-14719804.\nAnswer: 73599020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791605 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 16*d + 12. Let t be a(15). Let c be 3 + (9\/t - -3). Solve -c*l = -3*x + 12, l + 9*x - 2 = 4*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*u - 9, 4*u = u + a + 3. Let l = -1928\/7 + 276. Does u = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 7*x**4\/24 + x**3\/6 + 2*x**2. Suppose -2*g - 10 = -4*g. Let k(a) = 3 - 7 + 11 - 8 + 6*a + 2. What is g*q(z) - 6*k(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 1:42 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/8))**(16\/7) assuming r is positive.\nAnswer: r**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 + 8 = 0. Suppose -2*p + t*a - 16 = 0, 0*p + 14 = 3*p + 2*a. Let b be 301\/21 + p\/3. What is the greatest common factor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*((-12)\/8 + 1). Let g(h) = -h. Let y be g(-1). Sort r, -0.2, y.\nAnswer: r, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - (-38)\/6)*15*9. Calculate the greatest common factor of 90 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 104*u + 2842. What is n(-54)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 230 = -5*k + 3*y, 5*y = -4*k + 220. Let r be (k\/15)\/((-15)\/(-18)). Solve 7*c = 3*c, -r*q - 4*c = -16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (27 - -8) + -27 - 17\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5199510, 10399021, 15598532, 20798043, 25997554?\n\"Answer: 5199511*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 4*s - 3*s - 4*s + s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-152)\/(-24) - (-8)\/(-6). Suppose -31 - 26 = -2*v + 5*o, -93 = -3*v + n*o. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 1:02 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*g - 84 + 58, 9 = -g + y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 399818040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4 - 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 - 85. Let k(y) = -y**3 - 4*y**2 + 8*y. Let m be k(-4). Let h be m\/(-10) + (-8)\/40. Solve 10 = 5*j, -g*j - 4 + 15 = h*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030 a factor of 1075126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5384566*i**5 - 1818257*i.\nAnswer: -107691320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52\/14 + 10\/35. Let c = -11 - -15. Calculate the smallest common multiple of c and -21*(8\/(-3))\/s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3056017*i**4 + 15696582*i wrt i.\nAnswer: -36672204*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 3*x**5\/20 - x**4 + 3*x**3\/2 - 67*x. Find h, given that b(h) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**2 - 17*k + 36*k - 154 - 19*k + 56 to j*k**2 + o*k + s and give s.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87015, -86809, -86627, -86481, -86383, -86345?\nAnswer: -86379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 5786.\nAnswer: 5783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*i - 2721 + 174 - 1304 = -125 for i.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**5 + 11*c**4 - 10*c - 54*c**3 - 35*c**2 - 19*c**4 + 9*c**3 - 17*c**4 = 0. Calculate c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2196 and -23\/1206824.\nAnswer: 10861416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 272687 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*q = 7825450 + 24102082. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*q**2 - 3*q**3 - 114*q**2 + 2*q**4 - 42*q**2 + q**4 - 50*q as o*q**4 + s*q**2 + k + p*q**3 + w*q and give w.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13530 and 615.\nAnswer: 13530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104718?\nAnswer: 2, 3, 31, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34692497 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**4\/3 - 2*r**3 + r**2\/3 + 2*r = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 10*j + 12. What is q(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -64*c**2 - 3*c - 179969. Let x(p) = -3*p**2. Determine h(x(q)).\nAnswer: -576*q**4 + 9*q**2 - 179969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27, -10, 25, 84, 173?\n\"Answer: v**3 + 3*v**2 + v - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3849 + -3849.0002123. Round t to six decimal places.\nAnswer: -0.000212","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53447944723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v + 6. Let t(o) be the third derivative of -o**4\/8 + o**3\/3 + 4*o**2. Let u(q) = -6*a(q) + 17*t(q). Let p(r) = r + 1. Give p(z) - u(z).\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 356*z**2.\nAnswer: 4*z**2*(z - 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -15. Find the second derivative of 15*d**a - d + 0*d - 10*d**3 + 4*d wrt d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-32)\/(-16) + 0)\/32. Let y(m) be the third derivative of 0*m - 1\/160*m**6 + 0 + 0*m**3 - 18*m**2 - 1\/80*m**5 + u*m**4. Solve y(v) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 260 = -40*f, 4*w + 29*f - 31*f + 34 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -2112203321?\nAnswer: 2112203330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c + 312*c + 33*c + 7*c - 2 in the form m + k*c and give k.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 935 divide 551367506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nan when three letters picked without replacement from {p: 2, a: 2, n: 3, t: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 7*r**2 - 6*r - 2. Let i(o) = o**3 - o**2 - o. Let b(p) = -2*i(p) + v(p). Let u be b(-5). What is the greatest common factor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 42 - 18. Let l(j) = -3*j - 5. Calculate the remainder when l(r) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*c + 3)*(3*c**4 + 11*c**2 + 325*c**2 - c**4).\nAnswer: -4*c**5 - 672*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404252*f = -404239*f. Solve f = 9*q + 43 - 25 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3299 - -48.378\nAnswer: 3347.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*j + 29 + 10*j - 37*j - 37*j wrt j.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*h*z**3 - 23*h*z**2 + 2*h*z + 2*h + 15*z**3 - 28*z wrt z.\nAnswer: 114*h + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/936 and -5\/2152296?\nAnswer: 27979848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -8*o - 89 + 69, 4*o + 22 = 3*o - 5*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 2:28 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -365\nAnswer: 36.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*q**3 + 34252*q**2 + 2*q - 2412758 wrt q?\nAnswer: -78*q + 68504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 146*r**2 - 61*r - 782. What are the prime factors of w(-18)?\nAnswer: 2, 5, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5\/13 - 1678*h**4\/13 + 29766*h**3\/13 - 13298*h**2 + 381232*h\/13 - 236448\/13 = 0.\nAnswer: 1, 4, 9, 821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + -12. Let f(w) = -w**2 + 4*w + 14. Let i be f(6). Let y be 2 - s - -1 - i. What is the highest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 15. Let w be -5 + p - (0 - 1). Suppose -5*z + q + 7 = -9, -2*z + w = -q. Solve z - 9 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - k - 7. Let v(w) = -w**2 - w + 3. Let u be v(0). Suppose -5*a + 8 - u = 0. Let p be a\/(-2)*1 - 4\/(-8). What is z(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*p**2 + 0*p + 2*p**3 + p + 674*p**2 - 125*p**2 - 783*p**4 wrt p?\nAnswer: -18792*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -19*h + 6. Find the second derivative of 4*a**3 - 6*a**h - 8*a + 5*a**3 wrt a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9925, 20334, 31677, 44422, 59037, 75990?\n\"Answer: 78*g**3 - g**2 + 9866*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 15 = -1. Suppose 267 = z*r - 1441. What are the prime factors of r?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10816247\/1262184 + 30\/7513. Let x be (-119)\/(-24)*(-1)\/(-7). Let f = r + x. Calculate the common denominator of f and 19\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 82*w - 85*w - 3*y, -5*w = 3*y + 26. Sort 2, w, -16, 1 in ascending order.\nAnswer: -16, w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -1 - 5*m - 2*m**2 + 1\/3*m**3. What is h(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.17 - 0.87. What is the third smallest value in v, 0.2, -37?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111986 = 3*n - 3*n - 2*n. List the prime factors of n.\nAnswer: 7, 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -35*t - 503. Calculate g(-16).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 23*j**2 - 6. Let x(f) = -f**3 + 41*f**2 - 78*f + 23. Let g be x(39). What is u(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -457*v. Let d(w) be the first derivative of -w**2 - 65. Determine f(d(b)).\nAnswer: 914*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-15)\/2) - (85\/(-150) + 1)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 - 1) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 261164034 and 261164035 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -49. Let g(i) = i**3 - 16*i**2 - 2 - 3 + 7. Let d be g(q). Solve d*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/5 - -1)\/(-2). Let s be (-3)\/k - 9\/(-3). Solve l - 4*l + g - 9 = s, 0 = 3*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*y + 8 = 0, -3*y - 11 = 2*q - 3*q. Let w be (-2 - -8) + (-4)\/q. Let h(l) = 45*l - 1. Is h(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14377521227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/28 and 3\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -470 or -474?\nAnswer: -470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3123 + 3119. What is the fourth biggest value in 2\/21, -1\/3, w, 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**4 - 69699*y + 2*y**2 - 6*y**3 + 69699*y - 220 wrt y.\nAnswer: -24*y - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 1:42 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.3. Let g = 0 + 7. Let l = g - 11. Which is the biggest value? (a) j (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a - 0 + 14. Let o be (a\/(-4))\/((-1)\/66). Calculate the highest common factor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - n - 294, -5*w + 2*w - 2*n + 215 = 0. Let v = 160 - w. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0*d - 72. Let w = -10 - d. What is the remainder when 22 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -418, -1158, -2530, -4744?\nAnswer: -8010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrrrvcqiqcqqirriqqcq. What is prob of sequence qi?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2c588 (base 14) to base 7\nAnswer: -641131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 65*s + 828. Let g be k(-13). Put -2, g, 16 in descending order.\nAnswer: 16, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 15*b**2 - 29*b + 17. What is the remainder when j(-14) is divided by 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4 (b) 1\/156 (c) -3 (d) 2 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*i, 0 = 4*m - i + 20. Let y be (-5)\/10*(-2 - m). Let p = -30.7 - -31. Which is the nearest to y? (a) p (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425 divided by 372837.\nAnswer: 425\/372837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 785616286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2 - 3. Suppose 1 + 3 = -h. Let t = -7 + 11. Sort s, h, t.\nAnswer: h, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(6\/7))\/(n\/(n**12\/n)))\/(n**(2\/3))**31 assuming n is positive.\nAnswer: n**(-221\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, z: 1, s: 2, e: 7, l: 4}. What is prob of picking 2 l and 1 b?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, g: 8}. What is prob of sequence gg?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -994799.15 - -4950.53.\nAnswer: -989848.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2151725657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 215 - -5706999233.\nAnswer: 5706999448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10130 + 2?\nAnswer: -10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 5*j**2 - 11*j - 13. Let s be l(-6). Solve -2*z - 3 = -2*i - s, 0 = -z + 4*i + 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-45)\/(-6))\/((-330)\/264).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**3 + 52*q**2 + 20*q - 52. Let b(h) = h**3 - 17*h**2 - 7*h + 17. Let k be ((-112)\/(-21))\/((-8)\/12). Let m(w) = k*b(w) - 3*z(w). Factor m(c).\nAnswer: 4*(c - 5)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4584 (base 10) to base 6.\nAnswer: 33120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*w - 374 = t + 76*w, -w = 990 - 987 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**7\/7 + j**5\/10 - 7*j**4\/12 - j**3\/3 + 15*j + 1. What is the third derivative of h(n) wrt n?\nAnswer: -360*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.12 or -235?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-7)\/(-245))\/(6\/90)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -21*w**4 + 10*w**2 - 3*w. Let b(f) = 42*f**4 - 21*f**2 + 5*f. Let x(d) = 3*b(d) + 5*j(d). Find the third derivative of x(z) wrt z.\nAnswer: 504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7069 is divided by 53.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in centuries?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2\/6 - 19*f\/3 - 361\/6 = 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 226.\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3085, 3118, 3207, 3382, 3673?\n\"Answer: 5*f**3 - 2*f**2 + 4*f + 3078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 - -62. Let l be (1 + 0)*(-18)\/p. Which is the smallest value? (a) l (b) -0.05 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 9:34 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 383 + -381. Suppose -3 = 5*n - 3*z, 0*n + y*z = 3*n + 2. Solve 2\/11*r**3 + n + 2\/11*r**2 + 0*r = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 + 73 + -2 - (-1 - 3 - 32).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrm when three letters picked without replacement from rmcm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoouuuvovuuuuuou. Give prob of sequence oou.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdcipcpcecpipcccc. Give prob of picking 2 i and 1 d.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-4))**(14\/5)*((s*s*s*s\/(((s**(-2\/23)*s)\/s*s*s*s)\/s*s)*s*s)\/s)\/((s**(3\/16)\/s)\/s) assuming s is positive.\nAnswer: s**(-8281\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10356 + -10360. Let h = -193 - -777\/4. Which is the smallest value? (a) h (b) -3\/8 (c) w (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12246, -12222, -12202, -12192, -12198, -12226?\nAnswer: -12282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciabcky. What is prob of sequence ycak?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w. Let g be (-5)\/(-3) + (4 - 5). Let o(n) be the first derivative of 0*n + 0*n**2 + g*n**3 + 2. Determine q(o(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35494 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 201368925 * -0.5.\nAnswer: -100684462.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 10 + 7 - (39 - -3) - -7\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -6*v - 8 + 35, 6*l - 41 = 2*l - 3*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23036 divided by -2367?\nAnswer: 23036\/2367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 12 - 3*g - 3*g - 2*g + 7*g - 15. Suppose -n + 2*a - 7*a - 34 = 0, 3*a + 12 = 0. List the prime factors of z(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/((-1)\/(-44)). Let f = d - -41. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -571358*j**5 + 227703*j**2 wrt j.\nAnswer: -34281480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.6 + 8.21. Let r = 0.01 - b. Let g = -0.3 + r. Round g to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 7:15 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 55*m**2 - 7*m + 15. Let o(j) = 28*j**2 - 4*j + 7. Let t be 10*5\/(25\/(-2)). Let d(i) = t*b(i) + 7*o(i). Differentiate d(r) with respect to r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -197. Let g = d - 102. Suppose -4*s + g = 5*l, 3*s + 5 = 3*l + 26. What is the least common multiple of 4 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1404*d - 4289. List the prime factors of o(-4).\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + x + 2850 + 266 = 0, 5*f - 4*x - 3104 = 0. Is 24 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3463506 divided by -64139.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**3 + 20*s**2 - 58*s + 2. Is n(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 547079789\/10227 + -160481\/3. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46847 divided by -43070\nAnswer: 46847\/43070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 + u**2 + 5*u**2)*(u**2 - 3*u**2 + 0*u**2) - 232*u**4 + 427*u**4 - 101*u**4 as j*u**2 + f*u**3 + s*u + h*u**4 + g and give h.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 470973531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2588611*z**2 - 1107854*z?\nAnswer: 5177222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + h - 5. Let m be w(-4). Let d(j) = -j + 2. Let z be d(m). Put -2\/15, 4, z in descending order.\nAnswer: 4, -2\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyggyyyyygeyxgx. Give prob of picking 2 y.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/35*180\/96\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 37. Let h be o(-39). Calculate the remainder when 62 is divided by (-14)\/h - (-20 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 12?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 + m**3 + 6*m**3 + (-3*m**2 + m**2 + m**2)*(4*m - 2*m - 3*m) + 24*m**3 - 10*m**3 + 8*m**3 - m**3 + m**3 + m**3 + (-4 + 4 - 2*m**2)*(2*m + m - m).\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i + 15. Let c(w) = 32*w + 70. Let u(t) = -3*c(t) + 14*z(t). Let f = 16 - 11. Let y(g) = f*g**2 + 0 + 0. Determine u(y(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2571492 is divided by 2571444?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5175414 to the power of 1\/2, to the nearest integer?\nAnswer: 2275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4179 rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 0*i**2 - 3*i**2 + 6*i - i + 2. Suppose -3*v = -5*v + 28. Calculate the lowest common multiple of v and w(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5 - 1.5. Which is the closest to s? (a) -7 (b) -1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -5 + -9 + 3 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -d + 5*d. Suppose j + d*j = 10. Let n = -30 + 42. Solve -j*k + n = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a millennium in decades?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 2\/3, -2\/7, 3\/82, -4.2, -3 in descending order.\nAnswer: 44, 2\/3, 3\/82, -2\/7, -3, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(53\/(-106))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156.3 + -157. Let t = 0.9 + -2.2. Let h = t + m. Which is the biggest value? (a) 4 (b) h (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926982 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, w: 2, f: 4, q: 2, a: 3}. What is prob of picking 2 x, 1 w, and 1 q?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -12731\nAnswer: -1273.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18108688 by 28.\nAnswer: 4527172\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 202?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -28696472 divided by -56\nAnswer: 512437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g. Let c(z) = 13197*z + 59. Determine c(n(q)).\nAnswer: -65985*q + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -14. Let i be 6\/(-8) - (-30)\/y. Put 4, i, -3 in decreasing order.\nAnswer: 4, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g + 4*g + 3*g)*(5 + 6 + 29) in the form c + w*g and give w.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.26874752.\nAnswer: -1.3437376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:12 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.22137 and -0.02?\nAnswer: 0.0044274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {b: 7, w: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26\/9? (a) -20 (b) -12.9 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + o**2. Let d = -400 + 396. Let f(c) be the third derivative of -c**6\/20 - c**5\/15 + c**3\/2 - c**2. What is d*q(k) - f(k)?\nAnswer: 2*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/930 and 41\/310?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.08 + 0.08. Let o = 5.6 - 5.9. What is the closest to r in -2, o, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Let f = b + 15. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3193\/2 + 1641. Let z be (23\/3)\/(2\/12). Let q = a - z. Which is smaller: -3 or q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 211465*n + 24809850.\nAnswer: -5*(n - 42410)*(n + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*v + 5*g, -2*v + v = -3*g + 1. Let i = v - -29. Suppose 5*p - i = -4*a, -p = -2*a - 0*p. Solve -d + 6*d = -3*h + 21, a*d = -5*h + 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**3 - 62*g**2 - 176 wrt g?\nAnswer: 6*g**2 - 124*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10157070.\nAnswer: 2, 3, 5, 7, 11, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 0. Suppose -4*w = -w - z. Find the first derivative of -b - b**2 - w + b wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242666 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 + 0 = 0. Let y be -1 + 7 - 9*1. Let p be y*(5 + 119\/(-21)). Sort o, 1, p in decreasing order.\nAnswer: p, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -f - 17, 0 = 4*f - 3705*n + 3700*n + 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 51*v - 44. Let n(y) = 28*y - 24. Let t(k) = 11*n(k) - 6*s(k). Let b(j) = -j + 1. Let o be b(4). Calculate t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-11))\/(-4)*(-975)\/650?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 42. Let w = 4 + g. Let q be 130\/w + 2\/7. Which is greater: q or -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/14*(-32)\/(-56)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*o + 44. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 22*c + 12 = 0, 12 = 3*a + c. Suppose -2*s - 3*t + 724 = -1363, s = -a*t + 1036. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4280*t**2. Let v(y) = 2*y**2. Give a(v(o)).\nAnswer: -17120*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from aoooafxaoooaaooo?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b65 - 13?\nAnswer: b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5))**(-10)*x**(1\/7)*x**3*x*x)\/((((x*(x*x**(-2\/5))\/x)\/x)\/(x**5*x))\/((x\/x**(2\/3)*x)\/((x*x**5)\/x))) assuming x is positive.\nAnswer: x**(1247\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6 + 25*o**3 + 21*o**3 - 45*o**3. Let f(w) = -w**3 - w**2 - 6. Let y be 1*(0\/2 - -5). Let v(n) = y*h(n) + 6*f(n). What is v(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/59))\/z*z\/(z**(-25)*z*z) assuming z is positive.\nAnswer: z**(1414\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**6\/27 - 2*a**5\/45 - 35*a**4\/18 + 250*a**3\/27 - 146*a**2\/9 + 112*a\/9 - 2841. Suppose y(q) = 0. Calculate q.\nAnswer: -7, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -16, 0, 20, -3 in descending order.\nAnswer: 59, 20, 0, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*o - 108 = -59*o. Let a = 43 + o. Find the third derivative of 14*j**6 + 16*j**2 - 2*j + a*j - 5*j wrt j.\nAnswer: 1680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 6*m**2 - 5*m + 3. Let w be x(5). Suppose -w*n - 3 + 0 = 0. Let f(q) = -5*q**3 + 1. Give f(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4134 divided by 78?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6783.6 - 6784. What is the nearest to -2\/31 in l, -0.3, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 944 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 31. Let z = a + -7. Put -0.4, -3, z in decreasing order.\nAnswer: -0.4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42626, -42622, -42618, -42614, -42610?\n\"Answer: 4*o - 42630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -3*u - u - 3*g, 3*u - 4*g + 37 = 0. Let m(z) = 1433*z - 37. Let o be m(u). Round o to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 8:21 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 835?\nAnswer: 4175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -56067, 5\/2, -0.17, 10?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-20)\/(8 + -6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 8*o**2 + 5*o - 5. What are the prime factors of d(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3346 divided by -12.\nAnswer: -1673\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 35, 10?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 64, 89, 110?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10 + 8 = 0. Calculate the common denominator of 10 - 7 - 77\/d and 29\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.38 + -0.08. Let d be (-11288)\/510 + 22 - ((-8)\/10 - 1). Which is the closest to d? (a) 3\/4 (b) 8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.6 and -0.02.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, p: 7, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - 15. Let w = -29.268497354 + 1.268497464. Let z = u - w. What is z rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 112*r - 5 - 1 - 111*r. Let p be (-55)\/(-10) - 2\/4. Determine m(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32605.\nAnswer: 5, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 79 = 5*g - 27, -12 = -3*m for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 241867.17 microseconds in hours?\nAnswer: 0.000067185325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from tvmsuvys.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)\/n*n*n*n*n**4*n*n**(7\/4)*n**(-1\/3) assuming n is positive.\nAnswer: n**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*(9\/3)\/((-10)\/(-8)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v**3\/7 + 92*v**2 + 256*v\/7 = 0. Calculate v.\nAnswer: -64, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*o - 5 - o + 6*o + 2*o with respect to o.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/70*(-3)\/9\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -0.3 (c) -0.2 (d) 2.4 (e) 0.05 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, 10, 18, 20, 10?\n\"Answer: -a**3 + 6*a**2 - 3*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18544388 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24 + 0 - 0)*(-65)\/(-26). What is the highest common divisor of y and 810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-6)*w*w*w**(-2\/3))\/(w**(-1)*w*w**8)*(w**1)**12*w\/(w\/(w\/(w\/(w\/(w*w**3)))*w))*w**6*w*w assuming w is positive.\nAnswer: w**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*w - 3676, -16*w + 18*w - 3*r = 3666. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/8, -0.1, 13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -233368087 or -233368089?\nAnswer: -233368089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 195\/14 + -2305\/168. Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 15*o**3 - 4*o**2 + 3. Let d(f) = -26*f**3 + 8*f**2 - 7. What is -7*b(s) - 4*d(s)?\nAnswer: -s**3 - 4*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -2, 2, -37?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.13 times 29.05?\nAnswer: 1078.6265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -11323012202121?\nAnswer: -11323012202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82*v**4 + 497*v**3 - v**2 + 11277*v - 2.\nAnswer: 1968*v + 2982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59610927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (sqrt(45)\/(sqrt(9) + sqrt(9)*1) - -1*sqrt(80)) + sqrt(5) + 1*(sqrt(5) - -4*sqrt(5)) + (sqrt(180)\/sqrt(9))**2.\nAnswer: 11 + 21*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2820834 to the nearest integer?\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5 - 1 - 2*s - 7 + 2. Let l be (-10)\/(-15)*(-3)\/2*1. Calculate m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*s + 265*s - 576*s.\nAnswer: -66*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**3 + 480*t**2 + 16071*t + 15594 = 0.\nAnswer: -113, -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 + 4*t**2 + 19*t - 199 - 19*t + 394.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3952837784 - 286.\nAnswer: -3952838070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-18) - -11*14\/(-924)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 11*z**3 + 51*z**2 - 7*z + 79. Let x be g(-17). Round x to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 - 4*i**2 - 3*i. What is w(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19195 and 582188189.\nAnswer: 3839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + 0 + 10 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3. Let x(b) = 6*b**3 + 12*b**2. Let d(u) = -18*v(u) + x(u). Find the third derivative of d(c) wrt c.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/78 + (-19580)\/(-156). Let c = 125 - a. Put -3, c, 22 in descending order.\nAnswer: 22, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/11)*u**(-1))**(-8\/9)\/(u**(-2\/25)*u**6)**32 assuming u is positive.\nAnswer: u**(-466264\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 4\/6*3. Suppose 3*j + 4*h = 20, -5*j - 4*h + 16 = -n. Let p = -291\/35 + 54\/7. Which is smaller: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 85*g**2 - 2*g - 1. Let a be 4\/6*12\/(-8). Suppose -24*q = -28 - 668. What is the remainder when l(a) is divided by q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 - -80. Suppose 17*r + a = 12*r. Does 4 divide (2 - (r + 2))\/((-1)\/(-17))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(390)\/(2*sqrt(10)))\/(sqrt(15)\/(sqrt(10)\/sqrt(2) + sqrt(5))) + (sqrt(26)\/(sqrt(2) + sqrt(14)\/(sqrt(21)\/sqrt(3) + sqrt(7))))**2*-4.\nAnswer: -208\/9 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6*y = 9. Suppose 3*f - 36 = f - h, -y*f = 5*h - 68. What is the remainder when 60 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-6))\/(((-1)\/6)\/(108\/216))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**9)\/(s**3*s)*(s*s\/(s*s*s**(-1\/23)*s*s*s)*s)\/(s\/(s**(-8)\/s)) assuming s is positive.\nAnswer: s**(-551\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40123 - 39985 = -23*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 15*u**2 + 16*u**2 + 7*u**2 + 9*u**2 - 48*u**2. Let h(f) = -336*f**2. Give h(p(y)).\nAnswer: -336*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*q - 2*q**3 + 53 - 24*q - 190 as y*q**2 + m + b*q + g*q**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 + 1.5. What is the nearest to 1\/2 in -1, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49775, 49764, 49737, 49688, 49611?\nAnswer: 49500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r + 30. Let k be w(9). Let o be k\/48 - 18\/8. Sort o, -5, -3.6 in descending order.\nAnswer: o, -3.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2392\/138 - (14\/6 + -2). Solve w*f = 12*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 35*g**2 - 35*g - 156. What is a(34)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*k - 30, 0 = -3*k - 2*k - 10. What is the lowest common multiple of b and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(2\/12)\/((-2)\/(-3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -328*r**2 + 3*r. Let m(t) = -1312*t**2 + 11*t - 1. Let g(j) = 6*m(j) - 22*v(j). Let k be g(3). Is 36 a factor of k\/(-165) - 2\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 5*f. Let l(w) = 19*w**2 + 25*w. Let o(i) = -5*b(i) - l(i). Let y(t) = -10*t**2. Calculate y(o(q)).\nAnswer: -8410*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -245*u + 469. Give v(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 157*r**2 - 2651*r - 12116. Calculate z(137).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 3*z + 2. Let d be r(-3). What is the second derivative of -3*n + 4*n + 3*n**d + 2*n wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n**3*n))\/n))\/n*n*n**(-3\/7))**(-12)*(n**4*n\/n**(3\/5))\/(n**(2\/5)*n)**(11\/7) assuming n is positive.\nAnswer: n**(-1843\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/41930 and -1\/8?\nAnswer: 167720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(180) + 4 + 5)*2)**2.\nAnswer: 336*sqrt(5) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4\/(-22) - 1598344\/(-968)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f\/f**2*f)))**(2\/49)*(f*f**6)\/(f**0\/f*f) assuming f is positive.\nAnswer: f**(345\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*d**2 - 5*d + 39*d - 4*d - 13*d - 16*d as q*d**2 + w*d + u and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from rbppjpjprrjprrij.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 2*m - 4*m. Suppose 13551 = 86*t - 16635. What is the greatest common divisor of t and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1408)*-6)\/(sqrt(162) + (sqrt(162) - sqrt(162)*-3)*-4 + sqrt(162)).\nAnswer: 16*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1077095 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*n**3 - 3*n**2 + 3*n**2 - n**3 - n**3 + 0*n**3 + (-n**2 + n**2 - 2*n**2)*(-4*n + 4*n + 2*n) + 5*n**2 - 5*n**3 - 5*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.34 + -13.66. Let c = 76 + -76. Suppose -j - 3*x + 10 = c, -3*x = 4*j + x - 8. Which is greater: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q + 99 = -125 - 36 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 15)*1\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(4*n**3 - 2*n**3 - n**3) + (-n + 0*n - 3*n)*(n**2 - 4*n**2 + 5*n**2)*(4 - 4 - 2).\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 234257\/18 + -13008. Find the common denominator of a and (11997\/(-7440))\/((-17)\/4 - -2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 57\/(-12) - 1\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56724 and 5916?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = j + 13 - 4, 2*c = -3*j + 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-24)*k)\/k**22 assuming k is positive.\nAnswer: k**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (177\/1593)\/((-3)\/((-72)\/(-4))*1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 3, p: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 304069921 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 12*b**2 - 4*b - 17. Suppose -2*p - 2*l = 15 + 3, -2*p - 3*l - 15 = 0. Calculate the remainder when q(p) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (1 - 1291))*156. Let j = -285150 + i. Let x be j\/(-4) + (-2)\/(-4). Round x to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2 + 6 = 0. Let f(q) = -q**3 - q**2 - 1. Let y be f(t). Suppose -2*o - y*z - 43 = -3*o, 4*o - 152 = 2*z. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1525 and 292739?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90621, 362561, 815795, 1450323, 2266145, 3263261?\nAnswer: 4441671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (13 - 24) + (-7 - -1) - 88.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -15*l**3 + 55*l**2 - 40*l - 20. Let j(w) = 135*w**3 - 495*w**2 + 360*w + 180. Let m(c) = -6*j(c) - 55*x(c). Solve m(b) = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(380\/225)\/19.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 w when four letters picked without replacement from wwwnnnnwwnnnn.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 154*y**3 - 1874*y**3 - 835*y**3 + (y + y**2 - y)*(0 + 0 - 2*y).\nAnswer: -2557*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/2)\/(((-18)\/(-3))\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1516.4 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -2*(-12)\/(-14). Let h be 12 - (21 - -7) - -44. What is the nearest to l in -0.2, -5, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1301 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c - 3*b - 1, 0 = 5*c - 2*b - 80. Calculate the lowest common multiple of c and 3498.\nAnswer: 24486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33886213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**4 + 6 - 4*z**3 + 2*z**2 + 0 - z**4 + 2*z**3 in the form v + o*z**2 + s*z + f*z**3 + d*z**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(153) - sqrt(153))*-5 + -5 + 2.\nAnswer: -3 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -185 - -179. Let c(q) = 4*q + 75. Let w(j) = -2*j - 38. Let g(k) = a*c(k) - 10*w(k). Differentiate g(y) with respect to y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271609.\nAnswer: 13, 17, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 4*d - 11 = 0, 3*d + 0 = o - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 64 = -0*p. Let h = p + -23. What is the smallest common multiple of 10 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4110?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -459*z - 2. Is s(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**5\/60 - 5*n**4\/12 + n**3\/2 + 6*n**2. Let p be z(-10). Suppose 0 = -h + p*h - 854. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122175 is divided by 441?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*q**4 - 140*q**2 + 6244*q wrt q.\nAnswer: 204*q**2 - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40211973 rounded to two decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - (-3)\/(3\/2). What is the remainder when 5 is divided by t*((-15)\/4 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2 = -5*a. Let z be 0 - -2*(-1 + a). Let d = z - 3. Which is bigger: d or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324363 is divided by 324350?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**3 + 2*k**2 - 3. Let x be 1\/(-4) + ((-4755)\/(-20))\/3. Let f(h) = -169*h**3 + x*h**3 + h**2 + 87*h**3 - 1. Determine 5*f(v) - 2*y(v).\nAnswer: -v**3 + v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -2)*2\/(-1). Suppose -111 = -5*p - 4*f - 1481, -5*f + 1096 = -l*p. Let y = 450 + p. What is the highest common divisor of y and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996717?\nAnswer: 3, 457, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/96 (b) -103\/2 (c) 1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*a + 3. Suppose 5*k + 56 = 4*h, 0*h + 4*k + 7 = -h. Calculate the least common multiple of h and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/341, -5, -0.1, 1517?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/12754804 and 103\/138?\nAnswer: 880081476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2814 in -5, 4\/7, -1\/3, 57.5, -0.2?\nAnswer: 57.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(0 + (0 - 4)). Let f(a) = -a + 29. Let l be f(9). Let g = -20 + l. Solve g*q - j*q + 12 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10524985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + b + b)*(-581 - 4*b - 12*b - 2539 - 5*b + 14*b).\nAnswer: -35*b**2 - 15600*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + x**2 - x. Suppose 4*k + 1 = 1. What is j(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q*q**(3\/2)\/q*q*q)\/q))**(2\/153)*(q**(-9)\/q*q)\/q**(-4))**(-9\/7))**47 assuming q is positive.\nAnswer: q**(36096\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5))**(3\/13)*(p*p**(2\/11))\/p**(1\/4) assuming p is positive.\nAnswer: p**(2401\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g + 32*g - 46*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 104 - d**2 - 8 + 2*d - 11 + 4*d - 89. Calculate w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 6*n + 10. Let j be v(-5). Let z = j + -3. Let y(w) = -11*w**2 - 6*w**2 + 19*w**z. Let k(x) = -21*x**2. Determine k(y(f)).\nAnswer: -84*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -1. Is 6 a factor of 2\/12 + (-895)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + 2 - 7 - -791.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isis when four letters picked without replacement from {i: 4, h: 1, s: 4, d: 1, v: 5}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 3\/((-3)\/3). What is the third smallest value in 0, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18224)\/(-13668))\/(15\/(-9)*1\/3).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 771*l - 20821. Determine g(26).\nAnswer: -775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-65)*5\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/5 - 4\/(-4). Let z = 3 + -3.475. Let n = 0.075 + z. Put -5, g, n in increasing order.\nAnswer: -5, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*t + t = -4, 0 = -5*w - 2*t + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 10 - 7)*(-7*o**3 + 8*o**3 + 26*o**2 + 137*o**2) to u*o**3 + j + a*o + m*o**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 213\/5*a**2 - 3\/5*a**4 + 114\/5 - 279\/5*a - 9*a**3 = 0.\nAnswer: -19, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*b + 7*b. Calculate the least common multiple of b and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -393*l**2 + 7*l + 4. Let a(p) = 394*p**2 - 6*p - 3. Let b be (4\/(-4))\/((-5)\/25). Let x(k) = b*a(k) + 4*u(k). Is x(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 1:31 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4870 divided by -1.\nAnswer: 4870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-90))\/(2\/8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 410, 424, 442, 464, 490, 520?\n\"Answer: 2*y**2 + 8*y + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v + 0*v)*(-3 + 1 + 0)*(4*v**3 + 10*v**3 + 2*v**3).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2944\/80 + (-14)\/(-70) + 13.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 - -179 - (1 - 4 - (4 - 7))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 22*i**2 - 307*i + 2428. Does 4 divide h(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 91. Let u = 81 + r. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 678 and 53223.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3585632879?\nAnswer: 3585632879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/187? (a) -1\/4 (b) -0.5 (c) -3\/2 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5515067711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-4)\/(-5)) - 105\/(-35). Let g(y) = 4*y + 11. Give g(x).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1135702 (base 8) to base 7\nAnswer: 2431255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.3 (c) 0.07 (d) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11619164.78 rounded to the nearest 10000?\nAnswer: 11620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1649*u**3 - 1651*u**3 - 1 - 3*u**2 + u + 2*u + u**4 to g*u**2 + b*u**4 + m*u**3 + t + z*u and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-8))\/((-1)\/2)*(-12)\/(-1275)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20756260 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -7\/2*u**3 - 15\/2*u**2 + 0 - 1\/20*u**5 - 32*u + 23\/12*u**4. Let o be l(22). Let q(c) = 3*c - 8. Give q(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.33, 3\/2, 8, -32?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1092*y + 1104*y + 164 - 2229*y. What is i(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326035.\nAnswer: 5, 197, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*q = -2*q + 7, f - 11 = -2*q. Let s = 24 + -21. Suppose 2*p + s*u - 24 = -2*u, p + 3*u = 14. Solve -9 - 5 = -j - 5*x, -f*j - p*x + 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100211101111122 (base 3) to base 2.\nAnswer: -10011111011010011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**(-1\/6)*w*w)*w*w**(-6))\/(w\/w**(-1\/2))**(1\/14))\/((w*w\/w**0*w)**(4\/5)*(w\/(w*((w*w**(1\/2)\/w*w)\/w)\/w*w))**(12\/19)) assuming w is positive.\nAnswer: w**(-56057\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*v)*(28146*v**2 + 591 + 1330*v**2 + 43561*v**2 - 591).\nAnswer: -146074*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-702)\/65)\/(-6)*(-20)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911787761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17105, -17174, -17285, -17438?\nAnswer: -17633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 5*v = 46, -2*m + 293*v + 4 + 4 = 296*v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -206499000 to the nearest one million.\nAnswer: -206000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 789.6 times 3\nAnswer: 2368.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 363, -5, 0, 4.\nAnswer: -5, 0, 4, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 43*l + 69 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*b*f*m**3 - 3*b*f*m + 2*b*m**3 + 36*f*m**2 - m**3 + 1 wrt b?\nAnswer: 26*f*m**3 - 3*f*m + 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 48. Let t = -3 - -7. What is the lowest common multiple of f and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 6:04 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17247 - -17214.002. Let g = 0.002 - n. Let b = -27.9 + g. Round b to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5365*w - 10994*w + 5631*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 3}. Give prob of picking 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let h = 11 - 16. Which is the biggest value? (a) h (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**2 + 4*n - 4. Determine l(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11*j**2 - 5*j - 4*j - 4*j**2 + j**3 + 6. Let s be h(-8). What is the highest common divisor of s and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*1*3*2 + (0 + sqrt(1216) + 4)*5 + 3)**2.\nAnswer: 4048*sqrt(19) + 147665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*b - 27. Let q be b*2\/4*(-4 + 0). Let d(a) be the third derivative of a**5\/30 + a**4\/4 + a**3\/2 - 3*a**2. Calculate d(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-109*p + 13*p**2 + 109*p)*(0 - 3 + 2) + (-2 + 2 - 2)*(-p**2 + 4*p**2 - 2*p**2) as i + j*p**2 + m*p and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + (-24)\/(-30))*5. Sort x, -2, -4, -25.\nAnswer: -25, -4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*w + 5*w = 0. Let i(l) = 27*l + 456. Is 31 a factor of i(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -11. Suppose -h = 3*h + u - 10, -2*h = -f*u. Suppose -h*o = -5 + 1. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1 - 2\/(-2). Suppose -3*a = -4*a - 4*u + 191, 0 = h*a - 4*u - 418. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3. Let u(a) = -a**3 - 7*a**2 - 7*a - 2. Let p be u(-6). Solve 0 = k - d - p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 38. Let o(a) = -a**3 + 10*a**2 - 13*a. Let m be o(8). Let q be g(m). Solve 2*d - 5 = j, -q = 2*d + 3*j + j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 32 = 4*q. What is the derivative of 12*y**4 + 3*y**4 - 9*y**2 + 9*y**q - 12 wrt y?\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148 + 136. Let q = 11.1 + l. Sort -2, -3\/2, q in ascending order.\nAnswer: -2, -3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/5)\/(14\/35). Suppose d*z + 1 = 10. Suppose 26 = z*l - 5*x - 3, -16 = 4*x. What is the smallest common multiple of 10 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 112, 66, -142, -512, -1044, -1738, -2594?\n\"Answer: -81*b**2 + 197*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -4 (c) 281\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.06 + -12.16. Let o = h + 8.1. Suppose -5 = z + 4. Put z, 5\/6, -2, o in decreasing order.\nAnswer: 5\/6, -2, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*a = -3, -5*o - 4*a = 5 - 9. Solve o = n - 4*v - 14, 3*n - 4*v + 24 - 34 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -260*h - 1676. Give q(-7).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -7, 1, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -456 + 475. Calculate the highest common factor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 5 = -j, -5*j - 15 = -2*k + k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**4 - 3336*v**3 - 924054*v**2 + 1871520*v + 2792241 = 0.\nAnswer: -557, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -a - 3*a. Let i = 6 + -2. Calculate the remainder when a is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 195 = 20*l. Suppose 0 = -11*u + l*u - 56. Solve 5*a + 3*v - u = 0, 4*a - 3*v - 12 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0.5 (c) -57\/389\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7. Let w(r) = r - 15. Give -5*c(b) + 2*w(b).\nAnswer: 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*r + 3*r + 40 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57466589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14438 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -23*r**3. Let v be -7 - (27 - 7)\/(-5). Let f(t) = -11*t**3. Give v*x(w) + 5*f(w).\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 668 and 92017.\nAnswer: 368068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 + 75. What are the prime factors of (0 - 2)\/((-5)\/1200*u)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*7*(-6)\/(-7). Suppose -3*r + 12 = -3*z, -5*r - 2*z = -4*z - 17. Suppose r*h + 1 = -14. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 4, -2, 0.4, -1\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (257850\/(-2865))\/(-9*1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/11118 and -25\/311304.\nAnswer: 311304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 119465 divided by 23893?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 2\/9 (b) -2\/3 (c) 0.2 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) 1 (c) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -80*z**3 + 11*z**2 - 13*z - 92. What are the prime factors of r(-5)?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 395*h**4*r + 2*h**4 - 7*h**3*r**2 + 4*h**2*r**2 - h**2*r + 2*h*r**2 + 160*h wrt h.\nAnswer: 9480*h*r + 48*h - 42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8 - y**3 - y**2 + 7*y - 15 + 29. Is i(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -4*m + 4*h, h = -2*m + m + 108. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38689049*j**3 + 3888323*j**2 - 4 wrt j?\nAnswer: -232134294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78 (base 13) to base 15.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107 - 82 + 27)*(-r - 2*r + 13*r) - 2*r - 6 + 6.\nAnswer: -1622*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2268 and 35562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + 0*d - 2*d)*(-3*d + 4*d - 5*d)*(0*d - 4*d + 3*d).\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 2. What is the remainder when 9 is divided by k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1402 - -908. Let z = -286 - t. What is the highest common factor of 52 and z?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 21*m - 44. Let h be x(-12). Let j(q) = -70*q + 71. What is the tens digit of j(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*h**3 - 3*h**2 - 1 - 3*h + 85*h**3 + 2*h**2 + 3*h**2 to the form c*h**2 + r*h**3 + a*h + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192 - 182. What is the least common multiple of r and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**2 + 5 - 5)*(56649*k + 1 - 56650*k + 6264*k**2 + 1) in the form c*k + d*k**2 + n*k**4 + b + t*k**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2071 or 9?\nAnswer: -2071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -5, 51\/4, 5, -4?\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 0 + 2*c - 1\/10*c**5 + 1\/2*c**4 - c**3 + c**2. Solve x(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + 874?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 c when three letters picked without replacement from {u: 15, c: 4}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 + 0.89. Is o smaller than -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -122581.2.\nAnswer: 612906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 57 = 67 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (6 - (0 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/5)\/(1 - 2). Let c = 36031 - 1441141\/40. Let a = z - c. Calculate the common denominator of 103\/12 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((q**(-1)\/q)\/q)\/q)\/q)**(-3\/10))**31)**(-3\/2) assuming q is positive.\nAnswer: q**(-279\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0 + 0*a + 0*a**3 + 10*a**2 - 1\/20*a**5 + 0*a**4. Let s(c) = 5*c**2. Give f(s(p)).\nAnswer: -75*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 29*z**2 - 58*z + 56. Determine w(27).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/7 + 123268*h\/7 - 1899374978\/7 = 0 for h.\nAnswer: 30817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 12*j - 50. Let b be s(-5). Suppose -5*x = 2*n - b, -7*x + 2*n + 15 = -2*x. Solve 2*h - 2*w + 10 + 0 = 0, 0 = 2*h - x*w + 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210123210 (base 4) to base 13.\nAnswer: -52bc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o - 2*o + 4*o - 6. Suppose 5*u = -1218*q + 1219*q - 35, u + 13 = -q. Let x be z(q). Calculate the greatest common factor of x and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 6. Let b be i(4). Let n = 3546\/581 - -27\/83. Calculate the common denominator of n and 740\/(-75) + b\/(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z + 7. Let s(f) = 5*f - 8. Let v be (-57)\/9 + (-4)\/6. Let g(b) = v*c(b) - 6*s(b). Determine g(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (57\/38)\/(6\/44792)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821648783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 10*n - 11. Let w be s(-8). Suppose -3*a - 4*d = -13 + 2, 2*a + w*d = 12. Put -5, -2, 2, a in descending order.\nAnswer: 2, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17136 = -4*z + 3*l, z - l = 4482 - 197. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(272) + (2*sqrt(170))\/sqrt(10) + -1)*-2.\nAnswer: -20*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 3*z**2 + 4*z + (-2*z**2 - 1 + 1)*(-2 + 0 + 6) - z**2 + z - z - z**2 + 0*z**2 + 3*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**(-15)*f*f*f*f**(1\/6) assuming f is positive.\nAnswer: f**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012220111 - -2?\nAnswer: -10012220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111\/23 + 737\/138. Find the common denominator of 18\/7 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 - 2*d + d - 11 + 12 - 27*d**3 - 4*d**4 - 29*d**3 to the form v*d**3 + s*d + f + t*d**2 + i*d**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22609 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 6*m + 64. Let q(i) = -i**2 - 216*i - 11524. Calculate the remainder when q(-98) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197\/5 + -593\/15. Which is the closest to d? (a) 1 (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 2\/29, -13, -1\/6 in increasing order.\nAnswer: -13, -1\/6, 2\/29, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 274397 + -274396.9319962. Let z = -0.068 + o. Round z to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 - 7)*(-74 - 50 - 51 - 30)*(5 + 9*w - 5).\nAnswer: 25830*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - r - 14311 = 0, -3*j + 5*r - 10973 - 3350 = 0. Let t = 410313\/86 + j. What is the common denominator of t and -5\/6?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -101, -254 in descending order.\nAnswer: 8, -101, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2 - 2*l)*(51 - 25 - 16).\nAnswer: -20*l + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -98764.718 and 86.\nAnswer: -98678.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 7 (b) 5 (c) 2\/5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 + (-21)\/(-5) + (-7)\/35. Solve 4*g + 0*g = 5*z - 24, 4*g = 3*z - o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4920 by 8.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/(11 - (-90)\/(-8)). Suppose -3*j + 31 = a*s, s - 6*s = 3*j - 64. Solve 8 = f + 4*r, -10 = -4*f + 6*r - s*r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2870.\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 2. Let z(y) = y + 1. Let j(s) = -2*p(s) + 5*z(s). Suppose 14*u - 18*u + 12 = 0. What is j(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/12*2 + 0\/(-6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 3:27 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 5*m + 52. Let u be a(-10). What is the third derivative of -880*f**6 + 3*f**u - 8*f + 26*f + 955*f**6 + 5*f wrt f?\nAnswer: 9000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952314?\nAnswer: 2, 7, 13, 17, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(7) - (sqrt(14)\/(sqrt(2)*2))**2) - (-3 + (sqrt(7) - (sqrt(7) + -1)) + 6*(sqrt(7) + (sqrt(112))**2)).\nAnswer: -2679\/4 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 4:28 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31230 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1121906\/12153141 + 2\/52611. What is the common denominator of s and -13\/126?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.28187 + 2846.71367.\nAnswer: 2840.4318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.083533732 to three decimal places.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 > 259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*p = -127*p - 105 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/3201911 or -1?\nAnswer: -8\/3201911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1373*j**3 + 286*j**2 + 1 wrt j.\nAnswer: -8238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3542?\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-583704)\/(4 + -7) - 0. Suppose 275128 - 57288 = -5*d. Let i = r + d. What is i rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1958 + -15665\/8. Let b be (-38)\/48 + 2 - 1. Let x = z - b. What is the second biggest value in 1, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5041364, -5041566, -5041768?\n\"Answer: -202*h - 5041162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.3 - -2.3. Let s = -2 - a. Let d = 297\/2006 + -7\/59. Do s and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*l + 32*l - 65*l)*(0*l + 4*l - 2*l + (l - 2*l + 3*l)*(0 - 2 - 4)).\nAnswer: 770*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o + 0 + (7 + 0 - 3)*(9 + 14*o - 9))*(-2 + 1 + 3)*(-3 + 8*o + 3).\nAnswer: 912*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1964263*y - 1964329*y = -2376 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b\/(b*b**(-16)))*b**17)\/(b**17*b**(1\/3)\/b*b) assuming b is positive.\nAnswer: b**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26, -61, -110, -179, -274, -401, -566?\n\"Answer: -r**3 - r**2 - 25*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*t + 30 = 0, 3*w - 4*t = -0*t + 5. Let p be (-5 - -8) + -4 - w. Solve -p*a = 3*k + 15, k - 25 = -2*a + 6*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 640 (b) -2\/5 (c) -0.3 (d) 19653\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1986*185*(5 - (-292)\/(-60)). Let m = 90443 + a. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y - 5. Let j be n(4). Let b = 13 - j. Suppose -b*w + 2*u + 50 = -8, -4*w = 3*u - 81. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*y + 262, -k - 241 = -y + 21. Let h = 304 + k. What is the remainder when h is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83842 and 594722?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 5, -12\/5, -4?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 2*l + 1. Let g be w(-1). Let u be 2 + 2\/(g - -5). What is m in -u - 2*m**4 + 3 + 6*m**2 - 4*m**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638119 to the power of 1\/2, to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:46 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 78 = -96. Which is the third smallest value? (a) 0.5 (b) -0.03 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpfllhhhhhpfhthpg. What is prob of picking 2 f and 1 p?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(175)*-2)**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/7 (b) 2\/5 (c) -81912\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 1 + 36 + (89 - 6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z = -22. Suppose 4*f - 3*u = -21, 5*u - 15 = 3*f - 2. Let k = f - z. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(39)\/sqrt(3) + -1))**2.\nAnswer: -18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1519248 divided by 6126.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 - -2) - ((-767)\/39 + 18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 90 = -11*q. Suppose 296*r = 301*r - q. Factor 2*h**3 - 31*h**3 - 7*h**3 - r*h**4 - 4*h**5 - 28*h**2 - 11*h**4 - 8*h.\nAnswer: -4*h*(h + 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24064*b*s*x**2 - b*x**2 - b*x + 3*s*x - x**2 + 62*x - 66 wrt b.\nAnswer: 24064*s*x**2 - x**2 - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*b**3 - 120 + 120)*(1 - 1 - b).\nAnswer: -56*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*a**2*j - 2*a**2 - 2*a*j - 9*a + j wrt a?\nAnswer: -124*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + m + m + (-2*m - 1 + 1)*(-2 + 1 - 1))*(1 + 4 - 4).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6))\/sqrt(3) + (sqrt(20)*1)\/sqrt(10).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 8*o - 12*o)*((-4 + 0 + 6)*((3 + 0 - 1)*(-2 + 0 + 0) + 3 + 3 - 7) + 0 + 1 + 7)*(1 - 4 + 1) to w + c*o and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5406*k**2 + 365*k + 32. Is a(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/57 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 28 = 48*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 318 (base 15) to base 8.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*i - 5*f, 0 = -5*i - 5*f - 3 + 18. Suppose -79 - 57 = -i*a. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o\/(o*o**0\/o*o))\/o)\/o))**49)**(-43)\/((o*o**5)\/o**(-8)*(o\/(o**(-1)*o)*o)**15) assuming o is positive.\nAnswer: o**(-6365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 271.7075 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*b**3 - 288*b**3 + 2 + 592*b**3.\nAnswer: 6*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3325075677.\nAnswer: 3, 7, 11, 19, 47, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 5*d + 4*y, 0 = -d - y. Suppose -p - 3*p - 25 = -3*n, 0 = -d*n - p + 27. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7109 - -7139. What is the remainder when 1244 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 13*s + 18. Let h be a(12). Suppose -i - 1 = -h. Solve 8 = -p + 2*q, -3*p + 0*q = i*q - 9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -109, -238, -431, -694, -1033?\nAnswer: -1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 539 divided by 5\nAnswer: 539\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10*c - 57. Let r be t(11). Let n = r + -50. Suppose n*q - 6 = 5*q. What is the third smallest value in -5, -7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 3*z + 23, -3*l - 6 = z + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1.5. Let v = 490 + -493. Which is the second smallest value? (a) 2 (b) v (c) 4 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -784 or -783?\nAnswer: -784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + h - 2*h - 95, 3*l = -4*h + 306. Let o be (-2)\/4*(0 - 84\/3). Calculate the greatest common divisor of l and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-21))\/(2\/(-6)))\/(560200\/784280)*-3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -82, 0.264, -2\/27, 1\/8?\nAnswer: 0.264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1560 = p + 4*p. Let a = p + -164. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:36 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/(-50)*560\/168.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, 1, 2, 0, -79 in descending order.\nAnswer: 2, 1, 0, -1, -14, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762 > 2764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46\/141 + 16\/47. Which is the nearest to l? (a) 6\/35 (b) 0 (c) -2\/11 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32\/29 + 178\/319. Let g(m) = m**2 + 10*m - 1. Let b be g(-10). Is b smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 4. Let v be n(6). Suppose 168*q - 9 = 165*q. Sort v, q, -5.\nAnswer: -5, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3129158?\nAnswer: 2, 29, 53951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/(-10) + (-1)\/2. Suppose 4*h + 2 = -j, -r - 3*h + 11 = 0. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3 + 4 + 10*f + 8*f - 16*f. Calculate w(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-87)\/(-12) + (-3)\/12. What is the units digit of 13\/4 + a\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Suppose -w - 4*q = 1, -k - 1 = -w - 3*q. Let u = -36 + 44. Calculate the remainder when w is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260545163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - (2*sqrt(19) + 5)) + -2)*1)**2.\nAnswer: 14*sqrt(19) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1551, 1\/3, 3\/7, 2\/15?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483*u + 571*u - 453*u + 660*u + 428*u + 765*u.\nAnswer: 2454*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2000 and 231250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -2\/15 (c) -12 (d) 2\/7 (e) -5 (f) -2\/177\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.453 + 3.253. What is the closest to 2\/7 in -68, 5, 2\/3, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38213 (base 9) in base 12?\nAnswer: 12a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 2\/7 (c) -10.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/53 in 0.077, 3, 2?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1881147*r - 1881110*r = 296 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/9 + 7\/9*b**2 - 1\/9*b**3 - 14\/9*b = 0. What is b?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1166960, 1167071, 1167262, 1167539, 1167908, 1168375, 1168946?\n\"Answer: x**3 + 34*x**2 + 2*x + 1166923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + 5\/(20\/(-12)). Suppose 5*v = -3*d + 88, -2*v + 3*d + 61 = f. Solve -5*o - v = -5*c, 4*o + 21 = 4*c - o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 33 + 15 = 2*s, 4*h - 20 = 2*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 3267?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4671 + 119*w**2 + 3*w + 4671 in the form n*w**2 + o*w + j and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 67 = 29. What is g in -8 + 36*g - 4 - 4 - z*g**2 + 4*g**3 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7291*u**3 + 2049*u**2.\nAnswer: -43746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10049281?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 = 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27573495 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6762 - 41059\/6. Let b = -81 - j. Suppose -2*o + 1 = -5*i, o + 1 = -1. Is b less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**3 + 54700*r**2 + 70112500*r + 23995160000 = 0. Calculate r.\nAnswer: -9520, -710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*u**4 - 482644*u**2 - 228762.\nAnswer: -16*u**3 - 965288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1\/u)**26\/(u**(-2\/35)*u**4))**(5\/2) assuming u is positive.\nAnswer: u**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Let q be (-17)\/(2 - (0 + a)). Suppose -n - 3*p + 47 = -5, 2*n - 80 = -2*p. What is the greatest common factor of q and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000163009 rounded to six decimal places?\nAnswer: -0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ereu when four letters picked without replacement from {e: 4, r: 1, u: 8}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -19*q**3 - 7*q**2 - 10. Let k(z) = 28*z**3 + 11*z**2 + 16. Give 5*k(s) + 8*m(s).\nAnswer: -12*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvr when three letters picked without replacement from rrvrvrr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10117559, -10117543, -10117527?\nAnswer: -10117511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (42 + 3 + -14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 9:38 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 2*b - 53, -1336*w - 82 = -1298*w - 5*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*j + 28. Let s be (-32)\/j - (-2)\/(-2). Let i = -16.02 + 17.02. What is the biggest value in -65\/4, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 9:11 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4211118 to the nearest integer?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/(-195))\/((-9)\/2)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5*((-3534)\/(-155))\/(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11947 at most as big as -11943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(9\/5)\/o**(-27) assuming o is positive.\nAnswer: o**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10659 and 88.\nAnswer: 85272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354512106?\nAnswer: 2, 3, 13, 349, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 46*a - 19*a + 122 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 6*j - 35. Let w be x(10). Suppose 2*q - q - 2 = 0. Sort -5, w, q in increasing order.\nAnswer: -5, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5934 and 672578.\nAnswer: 678512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38853.3 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**3 - 4*h**2 + 7*h - 10. Let w be 29\/(-87)*18\/(-2). Let r be i(w). Which is the biggest value? (a) r (b) -4 (c) -3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d*d**12*d)\/d)\/d*d\/d**(-11)*d**(2\/29)*d**(2\/3) assuming d is positive.\nAnswer: d**(2326\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -250 and -55656.07.\nAnswer: -55906.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(-4*sqrt(5)*-2 - (sqrt(100)\/sqrt(4))\/sqrt(5))*3.\nAnswer: 252*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from jbjajjbabj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135860 by 13586.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.5 - -2.89. Let n = -3.69 + 3.68. Let w = o - n. Put w, -0.2, 1 in decreasing order.\nAnswer: 1, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -134*m**2 + 22*m. Let w(f) = 45*f**2 - 8*f. Give -4*v(y) - 11*w(y).\nAnswer: 41*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c8 + -9b?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 349060991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -707, -5, 3\/2, -3, -0.12, -2\/5 in ascending order.\nAnswer: -707, -5, -3, -2\/5, -0.12, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697722\/36 - -1*(-75)\/(-90)?\nAnswer: 2, 11, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12957 is divided by 12843?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssjssj. Give prob of sequence sj.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 6*q**2 - 4*q - 4. Let r be x(4). Suppose p + r = 4*p. Solve 4*t + w - 11 = 0, 5*w - 3*w = t + p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (sqrt(2448) + sqrt(2448)*-1))**2*1.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*m + 4371, -5*y - 9*m + 21827 = -6*m. List the prime factors of y.\nAnswer: 2, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*k - 24 = 0, 3*g - 15 = -2*g + k. Suppose t - 782 = 5*i - 152, g*i + 5*t = -252. Let s = i - -188. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3799 - 0.0799. Which is the closest to 0.2? (a) j (b) -2 (c) 3\/8 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(108) + sqrt(108)*2)*-3)\/sqrt(3))\/(sqrt(60)\/(sqrt(35)\/(2*sqrt(7)))).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 210*p + 8. Let l be n(10). Is l\/6 - 12\/9 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h - 9 = -b, -2*h = -3*b - 1. Suppose 5*d - 5 = 5*w, -5 = -2*w + 3*d - 11. Put 0, w, b in descending order.\nAnswer: w, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11783421548 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8586a3 + 74?\nAnswer: 858767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50)\/(-14) + (6 - (-39)\/(-7)). Suppose p + 2*p - 6976 = -o, 9323 = r*p - 3*o. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w + 80. Let y be j(-14). Let i = 246 - 248. Which is the nearest to i? (a) -0.2 (b) y (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*-2*(-1)\/6*3. Suppose -f*z = -309 - 99. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + a**3 + (2*a**2 + a**2 - 2*a**2)*(-a + a - 2*a) + (45*a**2 - 8*a**2 - 2*a**2)*(-7*a + 8*a + 18*a).\nAnswer: 664*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 3896*q - 7796.\nAnswer: (q - 2)*(q + 3898)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39274 take away -0.0205?\nAnswer: 39274.0205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 0*d**3 - 2*d**5 + (-2*d**4 + 4*d**4 + d**4)*(0*d + 0*d + 2*d).\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(91) + sqrt(91))\/((sqrt(700) - -3*sqrt(700)) + sqrt(700) + sqrt(700)))**2 + 2.\nAnswer: 8773\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 306 - -503. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001 - 1010010101000000?\nAnswer: -1010010110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7553 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/6 not equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 n when four letters picked without replacement from nnndddn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74019282419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1612 + 14?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -460, -919, -1378, -1837, -2296, -2755?\nAnswer: -3214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*(-604)\/8154.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 54498080?\nAnswer: -54498083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -175, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 40*p - 17. Is n(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + v + 9. Let w(s) = s**3 - 17*s**2 + 16*s + 2. Let q be w(16). Suppose 6 = k - 2*j + q, 2*j + 4 = -k. What is r(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0033? (a) 2\/3 (b) 5 (c) -3 (d) -2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*(0 - 0). Let q(r) = r**3 - 6*r**2 - 6*r - 4. Let x be q(7). Suppose -2*o - 3*j + 10 = -2*j, -2*o + 10 = -x*j. Solve -15 = -o*y - g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 0 - 2 - 6. What is the nearest to n in 2\/5, -2\/5, -1\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/30078 and 8\/35091.\nAnswer: 210546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/7)\/((-10)\/70). Let w(i) = -7*i - 2. Let f be (-13)\/3 + 2\/(-3). Let g(r) = 8*r + 2. Determine c*w(t) + f*g(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + sqrt(125) + -2)*4)**2.\nAnswer: 12000*sqrt(5) + 53600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 125621 and -0.073.\nAnswer: -9170.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2029*v**3 - 7.\nAnswer: 6087*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4738, -12, 35 in descending order.\nAnswer: 35, -12, -4738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**3\/3 - w**2\/2 + w - 4393. Let h(p) = 3*p**2 - 6*p. Calculate -h(g) - x(g).\nAnswer: -2*g**2 + 7*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 7*h**2 - 8*h + 14. Let r be a(6). Solve -2 = r*g - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/300*-5*(19 + -13).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 8.02. What is the closest to d in -2, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/8 + 2547*l\/8 - 2539.\nAnswer: -(l - 2539)*(l - 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -2. Suppose 2*b = v*g - 24, 5*b + 5*g - 3*g = -12. Sort 1, 4, b in ascending order.\nAnswer: b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -34 (b) 2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**3 + 450010982*d**2 + 568278719 wrt d.\nAnswer: -6*d**2 + 900021964*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-72)\/39 - 6\/(-39). Is 2\/97 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11410131, 11410133, 11410135, 11410137, 11410139, 11410141?\nAnswer: 11410143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 14) in base 16?\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28853806 + 28853806 - 52*z**3.\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226012248 by 301752.\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0774? (a) -3 (b) 53.2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1032\/1462)\/(46\/(-391)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1883 or -2624?\nAnswer: -1883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.0912.\nAnswer: -0.0456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*x**5 + x**4 - 738*x**3 + 992*x**2 - 20.\nAnswer: 360*x**2 + 24*x - 4428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*r**4 + 18*r**4 + 1 - 30*r**4)*(-2 + 1 + 0).\nAnswer: -5*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 45*n**4 - 43*n**4 - 3*n**2 + 137*n**4 - 2*n**3 - 28*n**4 to g*n**2 + d + a*n**4 + y*n**3 + b*n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(11) + -1) + (sqrt(99)*2)**2.\nAnswer: -2*sqrt(11) + 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g. Let y(i) = 27*i**2 + 4*i + 4. Let w(f) = 893*f**2 + 133*f + 133. Let s(d) = -4*w(d) + 133*y(d). Determine t(s(a)).\nAnswer: 57*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**4\/4 + c**3\/6 - 9*c. Let i be t(-1). Find the common denominator of i + 1156\/(-120) + 2 and 39\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4 - 28*k**2 - 24*k = 0. Calculate k.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-192 + 403*q**2 - 24 - 407*q**2)*(q**2 - 3*q**2 - 7 + 9) in the form w*q**3 + d*q**2 + j*q + s + p*q**4 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**3*w**3 - 4511*v**3*w**2 - 519*v - 2*w**3 wrt v.\nAnswer: -6*v*w**3 - 27066*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -85 - -6?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 - -9) + -10 - 7. Let n(d) be the third derivative of 0*d**4 + b - 1\/12*d**5 + 5\/6*d**3 + 0*d + 3*d**2. Solve n(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = 3*r + 5, -4*r = -2*k + 30. Suppose -4*m - m = 5*t - 20, 5*t - 3*m = 12. Suppose -t*i - 6 = -39. What is the least common multiple of i and k?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.097 or -121231?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, f: 1, b: 2, d: 1, m: 4, y: 1}. What is prob of picking 1 f and 1 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16069 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126b (base 13) to base 7.\nAnswer: -10436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 8*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 3:09 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 68308 divided by -807?\nAnswer: -68308\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 75522346*i + 1425906186335929.\nAnswer: (i + 37761173)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**3\/3 - 4*g. Let b(x) = 25*x + 73*x - 98*x + 10*x**2. What is b(k(m))?\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 v when three letters picked without replacement from vbvvvvbvbvb?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {e: 1, w: 1, b: 1, h: 2, y: 1, s: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 13 + 19 + 15 + 0*u. Is p(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31\/140 - -1\/35. Which is smaller: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**3 + 10*r**2 + 8*r - 8.\nAnswer: -2*(r - 2)*(r + 1)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/(1\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b - 6. Let j(k) be the first derivative of -9*k**2\/2 - 12*k + 1. Suppose 6142*i - 2 = 2*a + 6138*i, -a - 3*i - 11 = 0. What is a*d(s) + 2*j(s)?\nAnswer: 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*v + 256 = -138, 2*n = 2*v + 244. What is the greatest common divisor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -c?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 5*f**2 - 51*f + 7. Let c be i(5). What is the nearest to -1\/3 in c, -3, 92?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*r**4 - 42*r**3 + 18282*r**2 - 794492463*r.\nAnswer: 1368*r**2 - 252*r + 36564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6218, 6456, 6694, 6932, 7170?\nAnswer: 7408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r = 60. Calculate the remainder when (-10746)\/(-72) - (-2)\/32*-4 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1 = 2*i, -i - 1 = -2*x - 0*x. Let o be 39\/13 - 2*i. Solve -m = -4 + o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16421 - -415?\nAnswer: -16003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.08, -260.6, 23?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2324018182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.94 - -2.84. Let i = 1.8 - z. Let m be (-4*(-5)\/(-50))\/((-16)\/10). What is the biggest value in m, 2\/5, i, -2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from lzzlllnlnn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 5. Let v = 11 - 5. Let s be h(v). What is the closest to 0 in 3\/7, s, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80057444 divided by 4\nAnswer: -20014361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 990.5598169 + -1500.5598528. Let r = q - -510. What is r rounded to 6 dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1363, 2662, 3965, 5272?\n\"Answer: 2*l**2 + 1293*l + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12777 is divided by 40.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 969.38305 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 3 (b) 0 (c) -8 (d) -6 (e) 402\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5371150 and 3400?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24240 = -417*o - 391*o for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2117, -4219, -6345, -8495?\n\"Answer: -12*x**2 - 2066*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 11*p + 162 = 0. Let h(m) = 2*m**3 + 4*m**2 + 4. Let t be h(-3). Let g = -9 - t. Solve -p + 8 = g*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 9 + 1 = -4*s, 4*p + 40 = 2*s for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6 = -0. Let p = -36 - -191. Let w be 1\/r + p\/2. What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 5*c**2 + 4*c - 4. Let t be i(4). Let h be 1 + 1\/(t\/12). What are the prime factors of (h\/(-6))\/((-3)\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 - 0.2. Let z = 66 - 48. Let d = 14 - z. Which is the smallest value? (a) d (b) 0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 20509393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 0*v**3 + 1 + 2*v + 10 + 2*v**3 + 1 as a + u*v**3 + h*v + x*v**2 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 30312556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20164 by 10082.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235286 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -18, -33, -52, -75, -102, -133?\n\"Answer: -2*j**2 - 5*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007526 rounded to 5 dps?\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2\/7 - 1452*j\/7 + 1455\/7 = 0. Calculate j.\nAnswer: -485, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 + 2)*(-4*w + 2*w + 4*w) to the form g*w + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117472972 is divided by 3455087?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**6\/60 - q**5\/10 + q**4\/24 + 5*q**3\/6 + 4*q**2 - 1. Let r be p(-3). Solve -10 = -0*o - r*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163 + 327. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:36 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrzrzhzrrrrzrrhdhr. Give prob of sequence dhhz.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - 2*g**3 - g**3 + (-1 - 3 - 6 + (-2 + 3 - 2)*(1 - 4 + 5))*(g**3 - 2*g**3 + 3*g**3) + 5*g**3 - 3*g**3 - 11*g - 4*g.\nAnswer: -24*g**3 - 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/86499?\nAnswer: 2\/86499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16200, 16267, 16474, 16899, 17620, 18715, 20262, 22339?\nAnswer: 25024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3\/770 (b) -0.1 (c) 17 (d) 0.04 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11220 by 374.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 556892 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0228617932942+0.03\nAnswer: 0.0528617932942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2\/5 + 515744*m\/5 + 309450 = 0.\nAnswer: -3, 257875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 16) to base 11.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*-2*sqrt(567)*-2 + 2)*-4*-2)**2.\nAnswer: -73728*sqrt(7) + 37159168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -262 + 1779*q**2 + 260 + 1084*q**2 - 389*q**2 as v + d*q**2 + l*q and give d.\nAnswer: 2474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -61ac1?\nAnswer: -61ac4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 49357 = -4*p + 18159, -2*p = -s + 33758. Suppose -7*r = -5*r - s. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 4*b + 4. Let x be o(-4). Suppose 23 - 95 = -x*u. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 times 2?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*k - 30393 - 27535. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6\/x)**27\/(x\/x**(-9))**(-37) assuming x is positive.\nAnswer: x**505","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -67\/3, 1\/4 in decreasing order.\nAnswer: 1\/4, -67\/3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36624, -38269, -39892, -41481, -43024, -44509, -45924, -47257?\nAnswer: -48496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49829*o + 12882 wrt o?\nAnswer: -49829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 2:35 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 6722288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1069 = 1927. Let q = l + 510. Let m be (q - -2)\/(-3) - 2. Calculate the greatest common divisor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 4*u, 3*b + 5*u + 29 = 4*b. Solve -3*j - 2*z = -8, -5*j + 5 + 23 = -b*z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 + 10*t**2 - 2*t + 1. Let q(s) = -3*s**3 + 11*s**2 - 2*s + 1. Calculate -4*i(d) + 3*q(d).\nAnswer: -d**3 - 7*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.5955381 take away -0.3?\nAnswer: 15.8955381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.37? (a) -2 (b) -94 (c) 5 (d) 201 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.7 + -9.19. Let y = -1.49 - s. What is the smallest value in y, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.0153 + -2.0053. Is 3 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b + 20. Let m = 1 - b. Let k(y) = y**3 - 5*y**2 + y + 2. Let n be k(m). What is the greatest common factor of 35 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2981 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (-6 - -18)) + -15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8582*q**3 - 167*q**2 - 17156*q**3 + 8575*q**3 + 152*q**2.\nAnswer: q**3 - 15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)*l**(-11))\/(l*l**(19\/2)\/l*l*l*l**(-10)) assuming l is positive.\nAnswer: l**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-7 + (0 + 10 - (-25 + 21))). Sort 4, -2\/3, j, -5\/6, -4 in descending order.\nAnswer: 4, -2\/3, -5\/6, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 9*r - 13. Give w(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**2*u*x + r**2 + 4*r*x + 24*r - 20*u*x wrt u?\nAnswer: -2*r**2*x - 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = -7 - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, l: 2, x: 4, n: 2, q: 3}. Give prob of sequence nnq.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 20.1. What is the nearest to b in 3, 0, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2\/4 + 41875*b\/2 - 41874 = 0.\nAnswer: 2, 83748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 30 = -15*u. Calculate the smallest common multiple of 21 and u.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3622*m - 3617*m = 390. Calculate the remainder when m is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34\/10 + ((-48)\/(-10))\/8. Let w(m) = -5*m + 17. Determine w(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2860570 and 25\/8692.\nAnswer: 303220420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 54 + 76. Suppose h = 2*o - 141. Suppose 2*w = 3*m + o, -4*w + 2*m + 140 = -m. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1892129.\nAnswer: 2\/1892129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 11*z - 10. Suppose -q + 3*q + 2*g = 32, 0 = 4*q - 3*g - 36. Let r be o(q). Solve 3*k = r*d + 1, -k = -6*k + 5*d - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3586 (base 11) to base 10.\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 79*z + 0*z**2 + 10 + 89*z. Calculate the remainder when f(6) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + 2*j + 3. Let t(h) = 16 + 9 + 8 - 44 + 12. Calculate k(d) + 2*t(d).\nAnswer: -2*d**3 + 2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.31282 and -25.\nAnswer: -33.31282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16425*d**2 - 3321*d.\nAnswer: 32850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 21*v - 39*v + 6*v + 3*v**2 - 9*v - 20*v as r*v**2 + y + o*v and give o.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*x - 95 = -92*x. Put x, -3, 1, 0 in ascending order.\nAnswer: x, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11*p - 381. Calculate i(-8).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 2*(-722)\/(-14). Let o be -3 + -3 + 6 - 101. Let s = t - o. Sort -0.5, 2, s.\nAnswer: -0.5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263522 to the power of 1\/2, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 481258115 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f. Let i be v(3). Let a be (i + (-21)\/(-9))*-3. Let l(k) = -k**2 - 17*k - 16. Let y be l(-1). Solve s - a = -y*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Suppose o + 3*o = x. Let t = 0.2 + 0.3. Which is the closest to 0? (a) o (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32954 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22000005 (base 6) to base 12\nAnswer: 276005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 3*h + 4*h)*(-4 - 2 + 4)*(0 + 8 + 1).\nAnswer: 54*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.19749 and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -61*c**3\/3 + 3*c**2\/2 + 7*c. Is y(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/10)\/7*(-27 + 37) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(80 - 238 + 158 + 13416*c**4).\nAnswer: 13416*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5027521 by 6.\nAnswer: -5027521\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173.509l in millilitres?\nAnswer: 1173509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133 + 13453*o - 47 + 217 - 37 to l*o + r and give l.\nAnswer: 13453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 281430 by 1770.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (-13 - -114) + -57.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqqqqfqqqqq. What is prob of picking 2 q?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 151.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86.2 + 85.8. Let d = -449\/1265 + -1\/115. Which is the second biggest value? (a) d (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h - 51. Let p(n) = 9*n + 51. Let x(u) = -5*a(u) - 4*p(u). Determine x(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003624 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(66\/112))\/((-5820)\/32010)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.462, -2\/3, -5\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -101100?\nAnswer: -101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 13 = 5*n, n - v = 4*n - 10. Suppose 704003 = -4*l + n*s, -s = -0*l + 3*l + 527999. Round l to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-448)\/3520)\/((-117)\/(-15) + -8)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s + 15 = -31*s. Let n be (s - -8)*(0 + 1). Solve -4*x - 5*o = -n, 1 - 5 = x - o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 44. Suppose z*x + 666 = x. Let p = 209 + x. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2977 + -1232. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*4 - -7. Solve -3*o + v*o = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20143 + 14259. Is -5884 equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 709000 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from {w: 3, k: 1, d: 5, b: 3}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 18*s**2 + 4. Let z be h(18). Suppose -z*f + 9*f - 25 = 0. Solve -4*c = 1 - f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 3*g + 5*g)*(-5 + 4 + 3) - 12*g - g - g + (-g - 3*g + 3*g)*(-6 + 3 + 1) to b*g + p and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 1, a: 2}. What is prob of sequence bqa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.01 (b) -3\/8 (c) 4\/673 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/7 + 12*q**3 - 792*q**2\/7 - 1936*q\/7.\nAnswer: -2*q*(q - 22)**2*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {o: 1, l: 2, v: 1, k: 1, x: 1, e: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -280bab (base 15) to base 14.\nAnswer: -382070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -303 + 78440?\nAnswer: 78136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 538898 divided by 454.\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 - i - 2. Let b be n(-2). Let c(j) = j**2 + 13*j - 37. Let x be c(b). What are the prime factors of (-1)\/((-1)\/(3\/3*x))?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(4\/(-64)))\/((-239)\/(-478))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3 = -5*s - 3, 24 = 5*t + 2*s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, o: 3, r: 1}. Give prob of picking 3 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1083886 = -4*s + 21635886. Round s to the nearest one hundred thousand.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*r - 100 = -39, 0 = 3*v + 4*r - 30. Let w(i) = v*i**2 + 16*i**2 - 47*i**2 + 16*i**2. Let b(a) = 3*a**2 + 6. Give w(b(c)).\nAnswer: -9*c**4 - 36*c**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162.04 - 162. Let k be -1*(-1865)\/(-7) + 0. Let u = k - -267. Which is the nearest to 1\/2? (a) j (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1576060 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**2. Let c(g) = 72*g. Give c(i(b)).\nAnswer: -288*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -g - 20. Sort 1\/7, -2, 5, g.\nAnswer: g, -2, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/16*2)\/((-1)\/2). Let m(u) = u + 15. Let o be m(r). Let h(a) = -a**2 - 17*a - 25. Let z be h(-15). Solve z = 3*b - o*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 1\/7 (c) -129860\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 936960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(14\/9))\/((-1905)\/8890)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (30*4\/(-96))\/(1\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-5))\/((-2)\/5). Let v(x) = -x**2 + 9*x - 10. List the prime factors of v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/2, -0.02, 13?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a + 58. Let r be y(14). Solve -9*x + r = -7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 - 5.9. Let p = 2.7 + k. Let m = -3.03 + 0.03. Which is the nearest to p? (a) m (b) -4\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6, -11, -40, -81, -134, -199?\n\"Answer: -6*z**2 + z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-30) + 12\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46, -87, -130, -181, -246, -331, -442, -585?\n\"Answer: -n**3 + 5*n**2 - 49*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.2 - -4.1. Let g = t - 5.9. Let n be (4 - 31\/8)\/(5\/(-10)). What is the second biggest value in g, -1\/10, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759271581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - -33?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y + 18*y + 392 = 0. Calculate the lowest common multiple of y and 21.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*d + 602, 0 = -3*k + d + 2*d + 627. Let a = k - 292. Let f = 166 + a. What is f rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f + 2332 = 91*f + 62*f + 6208 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8120 by -2030.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -15*k**2\/2 - 319130*k + 212755\/2 = 0?\nAnswer: -42551, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2661 + -2661.1. Which is the second smallest value? (a) 3 (b) 1.71 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**43\/(u**(-7)\/u) assuming u is positive.\nAnswer: u**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 6*z - 3. Let j be q(-2). Let c(r) = -r**2 + 9*r + 8. Let n be c(10). Let o be j\/2 + n\/4. Solve 4*a + 2*d + 16 = 0, o*d - d = -a - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*g - 5*q, -q = -4*g - 3 + 13. Let r(w) = -4*w + 23. Let h be r(7). Let u(t) = 5*t - 1. Let o(y) = 9*y - 2. Give g*o(f) + h*u(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2944660741 is divided by 613.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -10 + 18. Suppose 28 - i = -4*t. What is the closest to -1\/4 in 0.4, t, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 3 + 4 - 12*i - i**3 + 10*i**2. Let y be j(7). Suppose 5*g + y = 2*c - 0*g, c + g - 35 = 0. What is the highest common factor of 90 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 5*k - 4. Let n be g(-3). What is the third derivative of -5*o**2 - 33*o + o**3 + n*o**3 + 33*o wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {x: 2, t: 7, r: 2}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37.35 and 47.\nAnswer: -1755.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - -1. Let g = w - 13. Suppose i = g*i. What is the closest to i in -5, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2\/9 - 67795484*l\/9 + 7532832 = 0. What is l?\nAnswer: -16948872, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 30 + 20 - 4*y**2 - 141*y**2 + 10 + 142*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (30 + -22 - (6 + 9))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*n - 31 = -2, -n + 4 = 0. Suppose 3*w + 3*c = 285, -j*c - 13 = w - 112. List the prime factors of w.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 4. Calculate the lowest common multiple of c(14) and 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, i: 1, t: 8, p: 7}. Give prob of sequence tpvi.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -887.5 take away -0.016?\nAnswer: -887.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5 + 1 = 4*o, 0 = 5*l + 5*o - 15. Let z be (66\/4)\/((-1)\/2). Let c = -19 - z. Calculate the smallest common multiple of c and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(931) + sqrt(931)*2*-1 + -3)**2 - (-4*(4 + sqrt(684)*-1) + 4).\nAnswer: -5628 - 276*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8069 = 38*a + 127*a - 2789 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(840\/(-35))*(-2)\/(-6)*4\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 + 33 - 5 + 2*n - 20*n in the form a*n + x and give x.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - 2*g + (5 + 2 - 6)*(-6*g + 5*g - g) - 3*g + 2*g + 0*g)*(2 - 6 - 1)*(3*g - 1 - 5*g - 1).\nAnswer: -50*g**2 - 50*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33658\/45 - -748. Which is the smallest value? (a) -1\/5 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 + 91*n + 490. What is o(-9)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.9 (b) 0.4 (c) -3\/5 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2095 - 2093. Solve -5*c = -o + 16, -d*c + 2 = -4*o - 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -5*g**4\/4 + 10*g**3\/3 - 5*g**2\/2 - 116. Let y(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4347 - 4353. Let w(s) = -4*s**2 + 5*s + 6. Let j(q) = 8*q**2 - 11*q - 13. What is u*j(r) - 13*w(r)?\nAnswer: 4*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.09606068 times 1\nAnswer: -0.09606068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 9 + 3. Suppose 2*v - 10 + t = 0. Let z be 3 - (8*v)\/2. Solve -5*f = -h - 22, 4*f - z*f + 12 = -h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3199171, 3199172, 3199173, 3199174?\nAnswer: 3199175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1062\/324 - (-161)\/(-207)) + 76\/(-56).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 3) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6106877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2 - 9*w**3 - w**2 + w + 10*w**3 + 8. Let j be (1\/(-1))\/(-1) + -1. Determine h(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yytyytyyyyyyycytcytt. What is prob of sequence ctyt?\nAnswer: 13\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -19?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11579 is divided by 449?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 330931 (base 12) in base 10?\nAnswer: 810037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*m + 628 + 960 = -1058 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35749*m**4 + 31*m**3 + 363756*m wrt m.\nAnswer: 428988*m**2 + 186*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -180.1022905 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 12:33 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, p: 1, s: 5, l: 1, g: 1, o: 1}. Give prob of picking 1 o, 1 g, and 2 d.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-20)*25\/(-60)*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1881900 and -103\/7820.\nAnswer: 43283700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 - 1872.\nAnswer: -1870.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/37709680 and -15\/1389304?\nAnswer: 263967760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6410039?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1151 + (22 - 19 - (11 - 2)) is divided by 63?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -200 - -202. Calculate the remainder when p\/3*(-9102)\/(-41) is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, g: 2, l: 1}. What is prob of sequence gg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007044806 to five decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 2, -174976 in decreasing order.\nAnswer: 2, -57, -174976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tsssstsssttstsss.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301871.4 months to years.\nAnswer: 25155.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 36 - 34 = 0. Let i(q) = 51*q - 44. Is i(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 11*j + 2. Let y = -35 + -2. Let g = y + 48. Let u be t(g). Solve 3*l - 4*p + 3 = 0, 21 = l - 4*l - u*p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3110216 and -0.7.\nAnswer: -3110216.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -0.2, 1124\/71 in ascending order.\nAnswer: -20, -0.2, 1124\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40921795.\nAnswer: 5, 8184359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 4*o + 28. Is 5 a factor of g(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/11)*x\/(x\/x**(-22))*x)**(-24\/11) assuming x is positive.\nAnswer: x**(5256\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*s - 32 = 0, -s + 0*s = 5*n + 44. Suppose x - 6*x + 82 = f, 4*x = -5*f + 74. What are the prime factors of (n\/x)\/(2\/(-52))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -58123.\nAnswer: -36\/58123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/6*(-555)\/(-740)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104689040 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3. Let a = 7.94 + -10.7. Let u = a - -2.76. What is the nearest to m in -3, u, 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w**2 + 3*w**2 + 5*w**2)*(1 - 1 - 2*w)*(0*w + w + 2*w)*(-2 + 3 - 2)*(2 + 307 + 120) in the form s*w + l + r*w**2 + j*w**3 + h*w**4 and give h.\nAnswer: 10296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 41*o - 1\/108*o**4 + 1\/135*o**5 + 0*o**3 + 1\/1512*o**8 + 0*o**6 + 0 - 2\/945*o**7 - o**2. Factor d(x).\nAnswer: 2*x*(x - 1)**3*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siu when three letters picked without replacement from {u: 1, z: 1, i: 2, s: 2, j: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/180)\/((-1)\/4)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/16 and 25\/9948.\nAnswer: 39792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.102 + 4.402. Let a = 8.9 + v. Round a to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z = -28. Let n(l) = -2*l. Let v(h) = -11*h - 13. Let b(s) = -5*n(s) + v(s). Let r be b(-11). Sort 5, z, r in decreasing order.\nAnswer: z, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5455 * -3.\nAnswer: 16365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**5\/5 - 3*b**4\/8 - b**2 - 7. Let i(t) be the second derivative of u(t). Solve i(a) = 0.\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5877 + -5878. What is the nearest to q in 4\/9, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -17*g + 70. Let l be m(4). Solve -l*i = 5*q + 9, 4*i = 22*q - 19*q + 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36942748 divided by 4.\nAnswer: -9235687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 7*w**2 - 6*w + 16. Let y be a(-8). Put 28, 3, y in increasing order.\nAnswer: y, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1\/9 (c) 0.5 (d) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -78, -124, -138, -90, 50, 312, 726?\nAnswer: 1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/22355097 and 76\/82899.\nAnswer: 67065291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.3 + -29.3. Which is the closest to -1? (a) -2\/5 (b) p (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1130 - -1130. Which is smaller: b or -1\/944?\nAnswer: -1\/944","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3686\/1197 + (-1120)\/504)\/((-1)\/175*-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 4*a = 9, -6 = -3*k - 2*a. Solve 3*g = -k*s - 6, 3*s - 4 = 3*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 570 = 4*f - 228, -a = -4*f + 801. Suppose -f = 3*n - 537. Suppose n = 4*r - 12. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/3 - 28*i**2 + 3040*i\/3.\nAnswer: -4*i*(i - 19)*(i + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = 4*j - 8, 0 = j + 2*u + 1. Suppose 2*o - 5*o - j = 0. What are the prime factors of (0 + 9)\/(o\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Suppose -q - 213 = -3*h, -m*q - 173 = 5*h - 528. What are the prime factors of h?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3808 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 8:56 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3320 - -3315. What is the second biggest value in x, 2, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/60 + 2*x**4\/9 - 8*x**3\/9 + 7*x. Suppose b(a) = 0. What is a?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0.12. Sort -3, k, 4\/7 in increasing order.\nAnswer: -3, k, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 597675 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/465)\/((-1)\/(-10))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 14541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.8 - -13. Sort -1, -2, v in increasing order.\nAnswer: -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664589389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + 1 + (70 - 101)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379, -353, -307, -241, -155, -49, 77?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55342 is divided by 87.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27742258 and -0.3?\nAnswer: 27742258.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 10 = 6, 5*v - 4*m = 51. Suppose -v + 25 = 2*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 - 13*t + 6. Calculate w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 1251310?\nAnswer: -1251313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8410*d**2 - 2*d**3 + d**3 - 2394*d**2 - 4*d**3.\nAnswer: -5*d**3 + 6016*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.2 + 26. Suppose -15 = -3*q + 3*z, 2*q - 6 + 31 = -5*z. What is the smallest value in p, -2\/17, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3376 = 98*r - 106*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272960 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (170*p - 170*p + 32*p**2)*(1 + p - 1)*(3 - 1 + 1) to i*p**3 + c*p**2 + t + h*p and give i.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + (-1)\/4. Let y = 0.3668 - 3.3668. Is y > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -55834, -111780, -167842, -224020, -280314, -336724, -393250?\n\"Answer: -58*v**2 - 55772*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -4. Let s be m\/14*(-259)\/74. Suppose -3*o - o = -4, 3*o = -4*q + 11. Put q, 4, s in increasing order.\nAnswer: s, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 3*c - 94 = 2*z, -2*z - c + 48 = 0. Solve o + 4*o = -z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1350 and 73\/45.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.3, -0.5, 4, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4\/7 + 39*z**3\/7 - 117*z**2\/7 + 81*z\/7.\nAnswer: -3*z*(z - 9)*(z - 3)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45948740 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-6)\/21) - 2. Let a be 4 + (-10 - (-220)\/36). What is the third biggest value in a, x, -11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -25 + (0 + 5 - 1). Let u be 39\/h + 5\/(-35). Let j = 7.96 - -0.04. What is the second smallest value in u, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*p + 3*p + 3, -5*p + 15 = 3*x. Solve 2*z - b + 4 = x, -b + 2 = -3*z - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1532*d**3 + 225*d - 78908 wrt d?\nAnswer: -4596*d**2 + 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808 is divided by 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11043738?\nAnswer: 2, 3, 59, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than 354?\nAnswer: 354.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -226 - -258. Calculate the highest common factor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.635892l to millilitres.\nAnswer: 635.892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6283292\/68595 - -2\/13719. Let w = d + -10564\/115. Suppose 0 = j - 4*u - 3, 0*j - 5*u - 8 = 3*j. Which is smaller: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -459, -429, -395, -357, -315, -269, -219?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 997, 6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 17 = 5*h, h + 17 - 1 = 5*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((6*sqrt(189))\/(sqrt(70)\/sqrt(250)))**2.\nAnswer: 145800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -82*s - 5987. Give h(-74).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 - (-3 + (-3 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-6 + -7)) + -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-14)*(v*v**7)\/v assuming v is positive.\nAnswer: v**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -14, -24, -2 in increasing order.\nAnswer: -24, -14, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-780)\/(-1040))\/(81\/(-24)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (3 - 7) + 22. Let m = z + -19. Suppose 4*j = -5*n + 8, 6*n = m*n - 4*j + 8. Which is bigger: n or -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34167, -68296, -102415, -136518, -170599, -204652, -238671, -272650?\n\"Answer: g**3 - g**2 - 34133*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 239.00063 + -239. What is o rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -117*g + 2816. What is the remainder when 3192 is divided by q(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/5 + 274*n**4\/5 - 13374*n**3\/5 + 267462*n**2\/5 - 1715688*n\/5 = 0. What is n?\nAnswer: 0, 12, 39, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 11. Find the second derivative of 3 - 4 + 1 - g*y - 2*y**2 wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135073\/6 + -22512. Let o(t) be the third derivative of 11\/20*t**5 + 0*t + r*t**4 + 0 - 26*t**2 + 0*t**3. What is the second derivative of o(k) wrt k?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3267, 1042, -1187, -3420?\n\"Answer: -2*y**2 - 2219*y + 5488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 11339183.\nAnswer: -22678366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*k**3 + 91*k**3 - 95*k**3 + 303*k**3 + 683*k**3.\nAnswer: 1025*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/6)\/(18\/27). Suppose 254 - 29 = 5*z. What is the highest common factor of q and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 18 = -12. Let 1\/4*u**x + 1\/2*u + 0 = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1153*h + 24696. What is g(-21)?\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {d: 1, x: 3, r: 3, g: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = -2*r. Find the third derivative of 2*z**3 - 5*z**2 + 5*z**6 - z**6 - r*z**3 wrt z.\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-1)*1)\/(-1). Solve b*r = r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 190201 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7275065.\nAnswer: 5, 7, 17, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12cd03 (base 16) to base 3\nAnswer: 2022121011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1613 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*y**2 + 19229002 - 48*y - 19229002 to the form j*y + q*y**2 + t and give q.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from dcdnzcdddcccncdcg.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 8*c - 141. Let n be j(27). What is the highest common factor of n and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (0 - (0 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - ((7 - (-3 - -17)) + (25 - 22))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*1*6)\/(1*sqrt(448)).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.12 + -0.12. Which is the third biggest value? (a) -5 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*d = -24, -6*d + d = 4*b - 12. Let s = 8 + b. Suppose 0 = 2*z - s - 164. What is the remainder when z is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1322 to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 13) to base 7\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3287\/11 - -299. Let y = -79\/15 + 23\/5. Let p = 8 - 7.7. Which is the second smallest value? (a) p (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11819 and 477?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3 + 0 + 24\/(-66) + 164982\/(-2046)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 19. Suppose 4*w + 0 = 2*j - 2, -11 = -2*w - 3*j. Let u(n) = w - 4*n**2 + 2*n**3 - n**2 - n**3. Give u(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 7*k + k**2 - 13*k + 17 + 6*k. List the prime factors of l(-6).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 2. Let t be i - 1\/((-1)\/(-21)). Is (-4)\/t + (-141)\/(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64904 divided by -427\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2*r - 16 = 0, -19 = -0*q - 5*q + 3*r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -15*w + 2*l - 2, 0 = w + 5*l - 5. Suppose 9*k - 3366 = -w*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 14. Suppose 6*t - 3*t + x = 0. Let o = -30.4 - -30. Which is the nearest to -1\/2? (a) o (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**3 + m**2 + 8*m. Let c(h) = -9*h**3 - 3*h**2 - 17*h. Suppose 29*l - 25 = 34*l. Calculate l*n(u) - 2*c(u).\nAnswer: -2*u**3 + u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*2\/(-70)*-2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1645620015.\nAnswer: 3, 5, 13, 1259, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -970.76287 rounded to 1 dp?\nAnswer: -970.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -55973?\nAnswer: -55974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7449 + -7506. Sort 2, -3, t, -5 in descending order.\nAnswer: 2, -3, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (33\/44)\/(6\/16). Suppose -10 = -4*n - h. Solve -n = -4*a - 2*b, -3*b = 3*a - 0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 3*u + 3*u)*(2*u**4 + 2*u**4 + 2*u**4) + 2*u**5 + 4*u**5 - 2*u**5 + 3*u**3.\nAnswer: 10*u**5 + 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 674 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(3\/2))\/(357\/153).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8636*d - 3225 - 5836 = -52241 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6489 + -10501383945.\nAnswer: -10501383945.6489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -721 - 1784?\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1389330 and 91\/645.\nAnswer: 1389330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 3964075?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**3 - 2 - 2*x + 1013*x**4 - 1010*x**4 + 2*x**3 to the form r*x + v + g*x**3 + f*x**4 + u*x**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 18*a + 8. Calculate the least common multiple of z(18) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111000100001101001 - -1?\nAnswer: 1001111000100001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -17 (b) 3 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3707, 3708, 3709, 3710, 3711?\nAnswer: 3712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -1, 4, 308, -2 in descending order.\nAnswer: 308, 4, -1, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29819 + 29818.58498. Let o = f - -0.414. What is o rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*m**2 + 64*m - 518 wrt m.\nAnswer: -12*m + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2 (c) -13\/3 (d) 3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.526424 nanograms in kilograms?\nAnswer: 0.000000000000526424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4654536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 105 - 29 = -5*m, -7*t + 2*m = 24 + 109 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/23 + 52\/69. Let d = -1.6 - -13.6. Let b = -8 + d. What is the third biggest value in b, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.7, -5, 63, -2, -1\/2.\nAnswer: -5, -3.7, -2, -1\/2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 10. Let v(w) = -2*w**3 + 2*w**2 - 5*w. Let r(f) = -f**3 - 1 - 9*f + 13*f**2 + 9*f - 14*f**2. Let p(b) = 3*r(b) - v(b). What is p(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 3*o**2 + 2. Let z be d(-2). Suppose 0 = x + 4*n - 7, 0 = -n + 2. Let b = x + z. Solve -p - 4 = b*i - i, 10 = -i + 2*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-126)\/(-12))\/7)\/((-10)\/(-20)). Solve o - 3*o - 5 = 5*d, -3*d - i = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10317 divided by 60\nAnswer: -3439\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -904, -1651, -2420, -3217, -4048, -4919, -5836?\n\"Answer: -g**3 - 5*g**2 - 725*g - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/42)\/((-4301)\/102)?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(72) - 1*sqrt(72)) + -3 - sqrt(72)*3*-5)**2.\nAnswer: -540*sqrt(2) + 16210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 36100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 - 111101110111?\nAnswer: -111110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 974050.2 decades?\nAnswer: 9740.502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50381094 divided by 6.\nAnswer: 8396849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 - k**2 - 2*k + 2. Let i be t(1). Suppose -10 + 8 = i*p. Calculate the common denominator of 87\/2 and (0 + p)*(-949)\/(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 - -117. Calculate the remainder when 46 is divided by (-2)\/((-2)\/2)*(12 - a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/7)\/(5\/(-40)*-3)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.01 minus 21?\nAnswer: -16.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693*x = -694*x + 3659. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*u - 2 + 12, 5*o = 0. Suppose 0 = -3*v - 6, u*h + v = 2*v - 86. What is the common denominator of (6\/h)\/(6\/(-26)) and 71\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2 - 369*w + 372 = 0. Calculate w.\nAnswer: -124, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**3 + 2*c**2 - 2*c + 3. Let b(x) = 6*x**3 - 3*x**2 + 2*x - 4. Suppose -206*z - 227*z + 395*z + 152 = 0. Give z*s(d) + 3*b(d).\nAnswer: -2*d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.8 + -5. What is the closest to -1 in -2\/3, f, 2\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-177)\/(-7) - (-50)\/(-175). Let w = -3 + 5. Suppose 12 = 6*d - 2*d. Solve 5*y = -d*o + 7 + 8, w*y + 5*o = c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.5, 0.3, -2 in ascending order.\nAnswer: -2, 0.3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrmrmbbbr. What is prob of sequence rmmr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -119.3, -0.5, -2\/21 in decreasing order.\nAnswer: -2\/21, -3\/7, -0.5, -119.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -10.41\nAnswer: -10.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2870773 or -2870675?\nAnswer: -2870675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from -1035817388.\nAnswer: -1035817387.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - 14*y + 14*y)*(y + y - 3*y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91\/5 - -18. Let y = -0.069 + -0.131. Which is the closest to k? (a) -0.3 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-2*(-9)\/(-6). Let o = 0 - b. Suppose -o*g - 72 = -2*y, 58 = 4*y + 2*g - 70. Calculate the greatest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252461 is divided by 402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(42) + sqrt(42) + sqrt(1512)*2)\/((sqrt(108)\/sqrt(18))\/(2*(sqrt(9) - (sqrt(27)\/sqrt(3) + sqrt(9))))).\nAnswer: -102*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 0 + 1\/20*g**5 + 0*g + 0*g**3 - 20*g**2 + 0*g**4. Let c(q) = -6*q. What is n(c(k))?\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(9\/(-120)) - 1. Suppose -a + 16 = a - 2*s, -4*a - 3*s = -x. Let q = a + -6. Which is bigger: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/700 + -201\/700. Which is greater: y or 1.553?\nAnswer: 1.553","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 16 + 14. Solve 28 = 2*d + r*a, -a + 4 = 3*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 4*l**2 + l - 2. Let h = 8 + -11. Let p be r(h). Solve -4*o = -p*s - 28, 5*o + 0 + 1 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*m = -59*m - 4704. Calculate the highest common divisor of 28 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -5 (c) 5 (d) -0.66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**2 - 4*y. Let t(w) = 6*w - 14. Let c be t(23). Let h(g) = -2*g**2 - 7*g**2 + c*g + 127*g - 246*g. Calculate -4*h(u) - 5*l(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/4*(72\/(-84))\/1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -411\/4 - -103. What is the closest to 0 in l, 2\/3, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = -29*g + 70*g. Let c(w) = -w**2 - 6*w + 1. Determine c(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 12*i**2 - 696*i + 4. Let y be a(58). Let v = 1 - -1. Let l be v\/((-5696)\/(-13840) + y\/(-10)). What is l rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*d - 8*d. What is the remainder when (-2 + d)*65\/5 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 3:00 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/8 in 1\/2, 1464, -109, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20577 and 7809?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 14*h + 304 + 832 + 154 for h.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - m - 24 = 0, 0 = -k - 5*m - 17 + 1. Suppose 48 = k*d - 4. Calculate the remainder when d is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -20*j + 741. Calculate g(38).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 2:22 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (2 - (-438)\/5)*(-90)\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**6\/25 - v**5\/50 - 7*v. Suppose p(z) = 0. Calculate z.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 756 + -716. Suppose -9 = m*y - 37*y. What is the fourth smallest value in 0.5, 2, y, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/3 + 50*o\/3 + 100 = 0. Calculate o.\nAnswer: -5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6*i + 114 = 0. Let z = i - -27. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**4 + 5*t**3 - t**2 + 9*t. Let i(j) = -j**4 - 2*j**3 + j**2 - 4*j. Let k(x) = -4*d(x) - 10*i(x). Solve k(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -111*y**5\/2 - 276*y**4 - 381*y**3 - 156*y**2 + 9*y\/2 = 0. What is y?\nAnswer: -3, -1, 0, 1\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -6*m - 28 - 60, -7*m + 6*m + 7 = -3*y - 0*m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 11 - (17 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*2*(-4)\/40*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71570.97 weeks in nanoseconds?\nAnswer: 43286122656000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.0372 - -0.0372. Let j = 176 + -177. Sort j, 0, 1, l in increasing order.\nAnswer: l, j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**4\/4 - 10*z**3\/3 - 29*z**2\/2 - 20*z - 59. Factor w(g).\nAnswer: -(g + 1)*(g + 4)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 30. Suppose 0 = -w - 0*w - v*b, 5*w - 4*b - 24 = 0. Let a be 36\/(-48) - (-51)\/w. Solve a = 2*i - 6*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r**5 - 995*r**4 + 7815*r**3 + 7395*r**2 - 1445*r = 0.\nAnswer: -1, 0, 1\/6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 0*s - 3*s - 9 = 0, -s - 3 = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -501 + 321. Calculate the lowest common multiple of 3 and 2\/(-3)*w\/24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 7, s: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**2\/2 - 424. Let o(g) = 3*g + 18. Determine -o(v) + p(v).\nAnswer: -2*v - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*z + 28, 0 = 5*z - 20 - 5. What is the least common multiple of 4 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/2 - 3)\/(-1). Suppose -6*t = -t - 45. Let s(g) = -g**2 + 8*g + 10. Let d be s(t). Solve r - d = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19299246.3 microseconds to days.\nAnswer: 0.00022337090625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2 - 41622157*q + 41622156 = 0 for q.\nAnswer: 1, 41622156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 8, -5*u - 5 - 20 = -3*i - 0*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**3\/6 + 5*p**2\/2 + 25*p\/2 + 592. Factor x(z).\nAnswer: (z + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:35 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (9\/30*(-48)\/(-18))\/((-10)\/(-15))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**7\/630 - 43*z**6\/360 + 71*z**5\/36 - 275*z**4\/24 - 43*z**2 - z - 22. Factor b(f).\nAnswer: f*(f - 33)*(f - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/139 + -166\/1251. Let t = 335\/2 + -177. Let y = t - -8. Which is the second biggest value? (a) -2\/3 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h - 6. Give d(6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-7)\/(49\/(-28)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w + 213. Let b be l(26). Suppose -816 + 7261 = b*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -583674364 and 2.\nAnswer: -583674362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11033, -21961, -32893, -43829, -54769, -65713, -76661?\n\"Answer: -2*b**2 - 10922*b - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 298932?\nAnswer: 298932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175554, 350402, 525250, 700098?\nAnswer: 874946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332383 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 + 312 - k - 159 - 2*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 + 1. Let h = -0.36 - -0.06. Let g = 13.3 + -13. Which is the second smallest value? (a) g (b) l (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 304*i + 1920.\nAnswer: -(i - 20)*(i + 8)*(i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -39553, 3 in increasing order.\nAnswer: -39553, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 11:37 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-6 + (-1 - -1). Let o be 142\/(-3) + 4\/a. Let b = o + 90. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399.6541cm in nanometers?\nAnswer: 3996541000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 1844524571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + 551 = -149. Sort 1, -1, o in descending order.\nAnswer: 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -400 + ((-45)\/(-7) - (-84)\/(-196)) + -7. Is -400 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {o: 3, r: 1, x: 1, e: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 - 6902*f\/3 + 2301.\nAnswer: -(f - 1)*(f + 6903)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15742 + 15742 + 12*t**4 + 187*t**3)*(t - 2*t + 2*t + (2 - 3 + 3)*(-2*t + 3*t - 3*t) + 2*t - 2 + 2).\nAnswer: -12*t**5 - 187*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 17*m + 45. Calculate k(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*sqrt(605) + (-2 + sqrt(605) + -1)**2 + 5.\nAnswer: 33*sqrt(5) + 619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 - (-1)\/2. Let k be 13 + -3 + (f - 1). What is the highest common factor of 4 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4566, -4447, -4328?\n\"Answer: 119*k - 4685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + s**2 - s + 470000. Let g be i(0). Let x = -3 - -5. Suppose g = 3*a - x*a. Round a to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51135 and -1.008?\nAnswer: 51544.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 61. Let i be p(19). Let g(c) = 2*c**2 + 14*c + 44. Calculate the least common multiple of g(i) and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -4336 (c) 0.3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-161)\/(-28))*109\/654\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uippbkiiuulu. Give prob of sequence ki.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13056 and 15347328.\nAnswer: 30694656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1846499239.\nAnswer: 13, 10926031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3 - 3399*f**2 - 650808*f - 30326512 = 0.\nAnswer: -92, 3583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**5\/20 + d**4\/12 - d**3\/6 - 5107*d. Determine s(4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((3*(sqrt(24)*2*-1 + sqrt(24) - sqrt(600)*-1))\/(sqrt(8) + 3*sqrt(8)*-4 - sqrt(8)*4*-4))**2.\nAnswer: 457\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*h - 868 = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 7:41 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443573 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73536 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14058147, -14058115, -14058063, -14057991?\n\"Answer: 10*n**2 + 2*n - 14058159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1366.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5869470 and 582.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 - 7*l**4 - 3*l**3 + 7*l**4 + l**3 - 2*l + 14 - l**2 to the form t*l**4 + c*l**3 + v*l + a + p*l**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 4*w - 47 + 5*w)*(0*w + 0*w - 2*w).\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 126\/11 less than 256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -2 - 19 - (6 + -4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (2 + -14)\/(-2). Suppose -21 = -z - 5*v, -z + y = v - 7. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11851 + 12111. Calculate the highest common divisor of 28 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 13*j = 9*j - 12, -g - 12 = 4*j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -0.3, 3 in ascending order.\nAnswer: -64, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 150369 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*d - 82 = 7, 4*i = -2*d + 74. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, and 2 p when four letters picked without replacement from mpkpkpkkmkpk.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Let w = 0 + h. Suppose -5*p + w*p - 2*o + 26 = 0, -2*o = -p + 10. What is the smallest common multiple of 4 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56010 and 53250.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(78*p**4 - 12*p**3 - 24*p**3 + 16*p**3 - 147*p**4).\nAnswer: -138*p**4 - 40*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v + 10. Let w(d) = -4*d - 3. Let b be w(v). Solve 0*p - p = -b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16880, 68185, 153702, 273431, 427372, 615525, 837890?\nAnswer: 1094467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*a - 20 + 23 = -83 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 0 + 0*j**2 + j - 1\/2*j**3. Let h(b) be the third derivative of b**4\/12 + 231*b**2 - 7*b. What is x(h(t))?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6*b = 21190724. Let s = b + 16897681. Suppose -u + 5*u = -s. What is u rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 281*o**3 - 12*o**4 - 566*o**3 - 2*o**4 - o + 244*o**3 - 5*o**4 to the form a*o**2 + y*o + h*o**3 + f*o**4 + q and give h.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*w**4 - 9212*w**2 - 77*w**4 - 388*w**3 - 3050*w + 145*w**4 + 12654*w = 0. What is w?\nAnswer: -49, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1598 - 4?\nAnswer: -15a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**2\/2 - 243. Let t(g) = -46*g. Determine d(t(f)).\nAnswer: -46*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -38*o. Let r be c(-1). Suppose -m + i + 7 + 5 = 0, -2*m - 5*i = -r. Calculate the remainder when m is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(-4)))\/c)\/c**(2\/5))**(-1\/8) assuming c is positive.\nAnswer: c**(-13\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and 0.01913.\nAnswer: -0.3826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-2) + 0)*-4. Let m be -7*(-36)\/(-63) + 12\/(-15)*-6. Let q = -2168\/31 - -70. What is the nearest to 1 in q, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*v**6 - 132*v**2 wrt v?\nAnswer: 5160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -246, -594, -1086, -1716, -2478, -3366?\nAnswer: -4374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 6. Let s be v(-4). Suppose 0 = 27*n - s*n - 55. What is the remainder when 41 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5550)\/(-150) - (-11 + 43 + -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 + 1)*30\/(-30). Let p(v) = -v**3 + 11*v**2 - 12*v + 25. Let w be p(d). Solve -21*j + 16*j = -w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + a + 80729 = 0, -5*b - 3*a + 40608 = -93959. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30, -2\/5, -4, -25?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -17*z. Let p(f) = -859 - 2*f**2 + 859. Give u(p(o)).\nAnswer: 34*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2653 divided by -16076.\nAnswer: 2653\/16076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175849499?\nAnswer: 7, 25121357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 + 3*q**4 - 3*q + 5*q - q**3 + 2*q**2 to the form j*q + r*q**3 + x*q**2 + a*q**4 + n and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92015?\nAnswer: 5, 7, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnuuctyuyuueucc. Give prob of sequence cc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 5*i + 4. Let x be j(-3). Let n = x + -11. Let d = n + 5. What is the remainder when 1 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywyyywwwyywwy. Give prob of picking 2 w.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932312 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-5 + 3) - (46 + -37)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j)**(1\/63)*(j\/(j*j*(j\/(j\/j**(-2\/15)))\/j))\/(j*j*(j\/(j*j*j**(1\/4)))\/j*j*j) assuming j is positive.\nAnswer: j**(-619\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -661 = 3*k - 742. What is the remainder when 887 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 6. What is w(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*q = -288*q - 88. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*u = 4*m - 3, 3*m = u + 3. Let p(n) = 6*n**3 - 2*n**2 + 2*n. Let d be p(m). Suppose 2*f = -0*f - d. Sort 0, -4, f.\nAnswer: -4, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v**3 + 142*v - 142*v)*(v - 1 + 1) + (-v - 1 + 1)*(0*v**3 - 5*v**3 + 4*v**3) to the form z*v**2 + j*v**4 + m*v**3 + w + c*v and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*q = 9003, -4*f - 4*q - 9017 = -1821. Let r = -1266 - f. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562 is divided by 61?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/18 and -11\/816.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44638*-16.\nAnswer: -714208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 + 21 + (-5 - (31 - 6)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 28. Let g = 12 + -7. Solve g*r + 7 - 2 = b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8352 by -58.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8428 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-756) - (-99)\/(-42).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -4 - -9 - (1 - (7 + -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -3. Solve 1 = 5*a - g*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244411825?\nAnswer: 5, 7, 37, 37747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 883221\/316 + -2795. Let x = l - -2207\/1580. What is the nearest to 0.1 in x, 1\/3, 0.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 5*i**2 + 3*i + 8. Determine f(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24525*l = 24462*l - 756 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 8*h + 6. Suppose 4*g - 16 = -3*b, h*b - 2*g - 36 = -2*b. Calculate the smallest common multiple of b and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 + k - 4. Let b be p(0). Let g be (b - -6)\/((-1)\/(-20)). Let u = g - 26. Calculate the remainder when u is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5463d1 (base 14) to base 12.\nAnswer: -b5b12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**5\/3 - 374*a**4\/3 - 371*a**3\/3 + 746*a**2\/3 = 0.\nAnswer: -373, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 494 and 82173?\nAnswer: 3122574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 212, 91, -90, -343, -680, -1113?\nAnswer: -1654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**5 + 612*i**4 - 27102*i**3 - 612*i**2 + 27105*i = 0?\nAnswer: -1, 0, 1, 65, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72459, -72421, -72383, -72345, -72307?\nAnswer: -72269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 z, and 2 l when four letters picked without replacement from {z: 4, v: 1, s: 2, p: 5, l: 2}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1472 from -0.0298.\nAnswer: -1472.0298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/12*-1*(-8)\/(-28). Put a, -1\/9, -5, -3 in descending order.\nAnswer: a, -1\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 792 + 88857. Let g = a - 209649. What is g rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**5 + 659*p**4 + 171*p?\nAnswer: -40*p**3 + 7908*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 9134664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4 - 11822*k**3 + 18208274*k**2 - 2160704490*k + 6318558036 = 0?\nAnswer: 3, 126, 2891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 211 + -216.04. Let s = 4.96 + -5. Let i = u - s. What is the closest to 0.1 in 3, 2\/9, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/9 + (-102 - 636\/(-18)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - -13. Suppose -m = 6*k - 11*k. Suppose c + 10 = -i - 0*i, 4*c + 47 = -k*i. Are i and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -626\/63 - -119\/9. Let d = 8241\/4 + -2071. What is the common denominator of m and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/7*(-3)\/2. Find the second derivative of 16*y**3 - 33*y**3 + 7*y + 15*y**s wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11*o + 99. Let s(c) = 3*c**2. Determine h(s(g)).\nAnswer: -33*g**2 + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/10 and 27\/1723.\nAnswer: 17230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -655381 - -655639.99585. Let t = -259 + l. Round t to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/(-3) - 50\/(-5). Suppose -4*y = -0*y - 32. Suppose 0*q + 2*q + y = 0. Is s less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*o + 88. List the prime factors of 9\/(-6)*o\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/45 + 86\/30. Suppose 4*d - v*d - 5 = 0. Is 11 a factor of d + 47 + (1 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 2\/45*u**5 + 1\/9*u**4 - 1\/63*u**7 + 0 + 30*u - 4\/135*u**6 - 1\/27*u**3 - 2\/9*u**2. Suppose b(x) = 0. What is x?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*12\/(-15)*(-2 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109.86 + 0.1052737.\nAnswer: -109.7547263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-3 - 4)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - (-36 + 39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c (base 14) to base 12.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1512)*-1)\/(sqrt(486) + sqrt(672)\/sqrt(7)).\nAnswer: -6*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdt when three letters picked without replacement from {d: 2, t: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920154.\nAnswer: 2, 960077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11203232 (base 4) to base 2\nAnswer: 101100011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13177248863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = -r - r, -3*r = 2*c - 10. Suppose 5*f + r = 5*a - 5, 0 = -4*f + 3*a - 1. Put 12, 3, f in decreasing order.\nAnswer: 12, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**4\/4 + x**3\/3 - x**2\/2 + 9*x + 12. What is v(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y**3 - 2*y**2 + 3*y - 1. Suppose -1 = 4*f - 9. Let b be j(f). Calculate the highest common divisor of b and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9987*q**2. Let x(l) = -12*l. Give t(x(z)).\nAnswer: -1438128*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 7*c + 4. Let b be h(7). List the prime factors of 93\/b + (-6)\/24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 14) to base 2.\nAnswer: 101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 340867983?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -83, -130, -189, -266, -367?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48\/13 - -735\/104. Let y be 12808\/360*(-27)\/(-18). Let b = y + -296\/5. Find the common denominator of b and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7 + 10*s**2 - 2*s**2 - s**2 - 2*s + 17 - 20. Let v(r) = -r**2. Give -o(m) - 3*v(m).\nAnswer: -4*m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001 + -1101101000?\nAnswer: -1111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 2*t - 5*b, 2*b = 5*t + 4*b - 204. What is the remainder when t is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -110110101?\nAnswer: -110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 + 3.32. Let a = 83.26 - 82. Let y = a - r. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 60844238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1379*q**2 + 0 - 29*q**3 + 6*q**3 - 1 + 21*q**3 + 0 as t*q**3 + w + o*q**2 + m*q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (98\/12)\/(-7). Suppose -11*p - 185*p - 2744 = 0. Which is the third biggest value? (a) w (b) 0.1 (c) p (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 51 + 18 = 0. Suppose -4*i - 16 = -3*w + c, -4*i + 7 = -w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.946 in 47, 5, -26?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/5)*c)\/c*c)**(-2\/13)\/(c**1*c\/(c*(((c\/(c\/c**(-2\/3)))\/c)\/c)\/c)))**(-1\/66) assuming c is positive.\nAnswer: c**(464\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/489371 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1704 (base 8) to base 14\nAnswer: -4cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 2, o: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -192*m**3*x*z**3 + 2*m**3*z**2 + m**2*x*z**2 + m**2*z**2 - 8*m**2 wrt z.\nAnswer: -1152*m**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18745, 39687, 65009, 96901, 137553, 189155, 253897, 333969?\nAnswer: 431561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-3))\/(0 - (-22)\/(-33)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -14*s**3 + 8*s**2 - 2*s + 2. Let h(a) = -42*a**3 + 23*a**2 - 5*a + 5. Calculate 11*g(u) - 4*h(u).\nAnswer: 14*u**3 - 4*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 75*q + 91*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(112) + 3 + sqrt(112)*5) + (0 + sqrt(112))*-3 + sqrt(112) + (1 + sqrt(112))**2 + sqrt(112) + sqrt(112) + -2)*-5 + -3.\nAnswer: -513 + 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -14\/9*i**5 + 0 - 182\/9*i**3 - 34\/3*i**4 - 38\/3*i**2 - 20\/9*i = 0.\nAnswer: -5, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 549 divide 438386600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1845 + 1877. Solve -12*b + 8 = j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-2\/13)\/u)*u\/u**7)**(-4\/5))**10 assuming u is positive.\nAnswer: u**(400\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 - u**3 + 4*u**3 + (-9 - 8*u + 9)*(52*u**2 + 1210 - 1210) + 6*u**3 - 5*u**3 - 2*u**3.\nAnswer: -418*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72922400 is divided by 8444.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003171894 rounded to seven dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.061403 weeks to seconds.\nAnswer: 641936.5344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 44 (b) -0.01 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 217176494 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jggy when four letters picked without replacement from {k: 1, j: 1, g: 2, y: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479315 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26451\/((-18)\/(-2)) - 20\/(-4).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 1922*k - 7 = -1925*k, j = -5*k + 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*p + 2670 = 175*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3014577?\nAnswer: 3, 37217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 16 = 5. Let t be ((-35)\/8)\/y + 1. Let u be (1\/(-4))\/((-2)\/(-6)). What is the smallest value in u, 2, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(7) + 0 + (-1*sqrt(28))\/sqrt(4) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 545 - -6699. Is h a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9473 - 9133. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g. Let s be -5*(126\/(-35) - -4). Let i(p) = -12*p**2 - 10*p - 1. What is s*i(m) - 22*u(m)?\nAnswer: 2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6*u - 1 + 5 to r*u + p and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8383982.5 + -107.9?\nAnswer: 8383874.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 12*q**2 - 7*q - 5. Let n be r(1). Suppose 30*g = 32*g + 8. Put 7, n, g in descending order.\nAnswer: 7, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10c310b3 - 4?\nAnswer: 10c310ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**3 - 136*r**2 - 311*r - 129. Let a(z) = 2*z**3 + 33*z**2 + 78*z + 32. Let t(w) = -11*a(w) - 3*f(w). Find b such that t(b) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 663 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 2, p: 1, w: 6, z: 4}. What is prob of sequence wz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3577685 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -4. Suppose u*m - 30 = -m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 270889, 270886, 270883?\n\"Answer: -3*v + 270892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)*-1)\/(sqrt(2) - (-2*sqrt(10))\/sqrt(5)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y + 24*y = 0. Let g(b) be the third derivative of 0*b + b**3 + 0*b**4 - 3*b**2 + 0*b**5 + y - 1\/120*b**6. Give g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -750870 (base 11) in base 15?\nAnswer: -18b072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.1 (c) -1 (d) -563\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -32.67. Let t = 0.07 - y. Which is the smallest value? (a) 0.1 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/1)\/(68 + (-6480)\/95).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2. Let j be (-2 + 0\/(-2))*(-4 - -6). Let w(z) = z**2 - 7. Let n be w(j). Let i(p) = -4*p + 0*p + n*p + 13*p. Determine d(i(u)).\nAnswer: 648*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, v: 1, l: 6, q: 8}. Give prob of picking 2 q and 2 i.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2057135253*v**2 - 2057135255*v**2 - 3*v**3 - 21*v**3.\nAnswer: -24*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -4*m + 24, 3*k + 3*m + 27 - 45 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13823643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 0.5, -1\/2, 11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2) + (10 - -1). Let b(o) be the third derivative of -o**6\/120 + o**5\/6 + 13*o**4\/24 - 7*o**3\/6 - 162*o**2. What are the prime factors of b(q)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0597 or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 71*q - 74*q = -6, 2 = -n + 3*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, y: 3, b: 1}. Give prob of sequence cy.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 3, m: 4, j: 2}. Give prob of sequence hmjh.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 382228312 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 2, 14\/3, -9\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (935 - 930) + (2 - 2 - 1 - -5) - -64?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)*n*n\/(n*n*n**0*n))\/(n**(2\/23)*n*((n**1\/n*n)\/n)\/n)*n**(-1\/3)*n**(-8)*(n*n**(-1\/4))**(-14) assuming n is positive.\nAnswer: n**(-1340\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-540)\/(-1100) + 5\/(-55)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1104*m - 881*m = -1608*m - 1381*m - 122056 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3591 and 896.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 3*i**2 - 7*i**2 + 6*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 333.4134 centuries in months?\nAnswer: 400096.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 8359648 - 1180922 + 0*y + 0*y.\nAnswer: y**2 - 9540570","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c + 2. Determine x(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9165893 millimeters in kilometers?\nAnswer: 0.0000009165893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*x = -47, -45 = 5*d + 2*x - 179. Is 28 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + (sqrt(440)\/(sqrt(11) - sqrt(275)) - sqrt(40)) - (sqrt(3240)*1 - sqrt(3240)))\/(sqrt(1152) + sqrt(1152)*-2 + sqrt(128)*4) + -3.\nAnswer: -3 - sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/16)\/w)\/w**12 assuming w is positive.\nAnswer: w**(-207\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33965 = 9*k + 33812 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4400 and 72930?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 24 = q - 2*i, 18 = -3*q + i. Let t be (5 + q)*(-1 - 2). Let j be 2\/(-12) - (100\/(-24) - -4). Solve -b + t = -j*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414082 is divided by 2542.\nAnswer: 2278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -39 - 69 - g - 36*g + 18 + 24*g + g**2. Determine h(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 703118688 by 744.\nAnswer: 945052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s. Let f(h) = 2343*h. What is f(v(u))?\nAnswer: -23430*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63656 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.3 + -3.5. Sort -10\/3, 3, o.\nAnswer: -10\/3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 9*r - 14. Let q be v(-7). Suppose q*f - 4*f = -948. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a - 6*a + 6*a)*(159 - 77 - 73) + 2 - a + 0*a - 1 + (2 - 3 + 2)*(1 - 1 - a).\nAnswer: 79*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 + 2*x + 653. Let i be j(0). What is i rounded to the nearest 10?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0141 + 34.1.\nAnswer: 34.0859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 575*q**2. Let s(g) = 237 + g - 127 - 110. Give z(s(v)).\nAnswer: 575*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Let d be 12\/(-9)*3\/(-2). Let i = d + m. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v**2 - 11*v + 3. Let t(b) = -1. Determine c(w) + 3*t(w).\nAnswer: 6*w**2 - 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (18 - 26 - 6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**6\/360 - k**5\/30 + 5*k**4\/24 - 17*k**3\/3 - k**2 + 88. Let x(u) be the third derivative of s(u). Calculate x(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w = -5*z + 10, -2 = -z + w. Suppose 0*m = z*m. Which is smaller: -1\/5 or m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18564 divided by -26\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*p + 8 = -23, 2*n + 14 = -2*p. Which is greater: -26\/7 or n?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**8\/84 - 8*h**7\/105 + h**6\/10 + 22*h**5\/15 + 2*h**4\/3 - 16*h**3 - 356*h**2. Suppose a(z) = 0. Calculate z.\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38*-1060\nAnswer: 40280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -0.5.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001 (base 3) to base 7.\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2299) + -4 + -1*sqrt(2299)*-3)**2.\nAnswer: -352*sqrt(19) + 36800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59570 = 1039*y + 2501*y - 332150 for y.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - v + 3. Let y be h(-2). Let f(d) = d**3 - 8*d**2 - 10*d + 12. Let i be f(y). Put -2, i, 1 in ascending order.\nAnswer: -2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -9, -13, -17?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2145432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, n: 2, y: 4}. Give prob of sequence ggn.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/167 - -325\/1503. What is the closest to -2\/7 in -4\/9, -0.04, i?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((9 - 15) + 3 + 0 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1800)*1 - sqrt(1800)) + (sqrt(270)\/sqrt(5))\/sqrt(3))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxs when three letters picked without replacement from vsxxxgg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**5\/20 + y**4\/12 + y**3\/2 - y**2 - 1117*y. Let s(j) = 3*j**3 + 4*j**2 + 8*j - 7. Calculate 7*o(f) - 2*s(f).\nAnswer: f**3 - f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r + 269*r + 273*r to the form g + p*r and give p.\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 43*m - 13*m + m**2 + 14*m + m**2.\nAnswer: 2*m**2 + 44*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 209521*n**2*o**2 - 7129037*n**2 - 32*n*o**2 - 49*n*o - 2*o**2 wrt o?\nAnswer: 419042*n**2 - 64*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131\/((-28034)\/321)*((-1 - 2) + 623\/(-21)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5938529 or -5938514?\nAnswer: -5938529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3002 - -4?\nAnswer: -2443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-6))\/((-12)\/18) + 1718. Differentiate -b*r + 5 + 4*r**4 + 1719*r wrt r.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -364*m**2 + 4*m**3 + 0*m**3 + 852*m - 21632 + 10796*m - 89*m**2 + 29*m**2.\nAnswer: 4*(m - 52)**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80865482597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - -1 - (539 - 532)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 7*h**2 + 6*h - 112. Determine x(7).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q - 546. Let a(w) = -10*w. Calculate a(z(l)).\nAnswer: 50*l + 5460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 25858?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 8 + -6 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 + 41*o + 103)*(3*o**3 - 2*o**3 - 2*o**3) + (-2*o**2 - 1 + 1)*(-o + 0*o + 2*o)*(-42*o + 24*o - 33*o).\nAnswer: 61*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 11*s - 8*s. Let u(y) = -52*y - 4. What are the prime factors of u(s)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 80*y**2\/13 - 1476*y + 9574\/13 = 0.\nAnswer: 1\/2, 4787\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 10:10 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) 3 (c) -1\/9 (d) 0.2 (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7))**(-15\/8)*(r**(-2))**(2\/11) assuming r is positive.\nAnswer: r**(-277\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 - (38 - 65) - -76?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23006093.\nAnswer: 11, 19, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 12 = -2*n, d - 9 = -5*n - 3. Suppose 0 = -3*u - 4*h - 7364, 5*u + 11935 + 357 = -n*h. Round u to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*r = -49. Suppose -r*z + 319 = -24104. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:58 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1900)*1*-1 + 4)**2.\nAnswer: -240*sqrt(19) + 17116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135390.0741814 + -0.3.\nAnswer: 135389.7741814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/36 - 8\/(-18). Suppose g - 24 = 4*g. Let s be (-12)\/40*g\/3. Is t < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 1\/6*v**3 + 0 + 0*v**4 - 32*v + 0*v**2 - 17\/10*v**5. What is the second derivative of r(o) wrt o?\nAnswer: -204*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/411306129 or -1?\nAnswer: -1\/411306129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258433 is divided by 656?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1074953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 7304.\nAnswer: 51128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 9*j + 11. Let k be n(-8). Suppose k*p = -p + 16. Suppose 5*x - 3*x = -4*b + 42, 85 = 5*b - p*x. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1279 + 1269.76. Round d to 1 decimal place.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 23 = 8. Let p = l + 11. Let i = -42 - -45. Solve 12 = i*b - p*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -11 (b) -4393 (c) 4 (d) -1\/4 (e) -3 (f) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -43*w + 10. Let o(l) = 240*l - 56. Let m(t) = 84*d(t) + 15*o(t). Let b(i) = -805*i. Give m(b(v)).\nAnswer: 9660*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 37 = 5. Let i be (-7)\/((-21)\/r) - -11. What is the second derivative of -7 + i*w - 34*w**3 + 18 - 11 wrt w?\nAnswer: -204*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-1*-4 - (sqrt(7) - (-1*sqrt(175) + sqrt(175))**2).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10031*l**3 - 9*l**2 + 16*l - 8. What is the thousands digit of d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29558100 divided by -4\nAnswer: 7389525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -93, -83\/5, -5, 2, 0.4, -3\/17, -4\/5?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 3972726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 5*y + 56. Suppose 2*i - 6*i + y = 0. What are the prime factors of ((-575)\/(-15))\/(2\/i)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n*n**(-2)*n)\/n*n*n)*n*n**(-7) assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 1. Let k(i) = -3*i**2 - i - 3. Let z = -13 + 15. Suppose -x = 4*m - 4 + 2, 10 = 5*x + z*m. Determine x*k(q) - 4*r(q).\nAnswer: -2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 1\/19, 6.6, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3948*h**3 + 1065*h**2?\nAnswer: 23688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g*p**6 - 279300*g*p**4 + 347672*g*p**2 wrt p?\nAnswer: 120*g*p**3 - 6703200*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g + 21*g = c + 3, 0 = g - 4*c - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 - 868\/9. Is 1 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104)*2*3 + sqrt(104))) + sqrt(104)*-1*-6)\/(sqrt(128)*-2*-1*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 6*f**2 + 5*f + 1. Calculate q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 8*k = -2268. Calculate the greatest common divisor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 332 - 325. Let b(v) = -3*v**3 - 6*v**2 + 6*v - 4. Let y(l) = 3*l**3 + 7*l**2 - 7*l + 5. Determine r*b(s) + 6*y(s).\nAnswer: -3*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -360434 (base 9) to base 11.\nAnswer: -138a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/3)*(l\/l**(-1\/10))\/l)**(-33)\/((l\/(l\/l**(2\/11))*l*(l*l**(1\/7))\/l*l)\/(((l\/(l*(l*l*l\/(l\/(l**4*l*l)*l))\/l)*l)\/l)\/l*l**8)) assuming l is positive.\nAnswer: l**(-12031\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-8) + (-2)\/4. Suppose -m*q + 16 = 2*q. What is the smallest common multiple of q and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 7\/2, 2, -4, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164 by 7.\nAnswer: 164\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117 + 129. Suppose v*s = 16*s - 144. What is the greatest common factor of s and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, i: 3, u: 4}. What is prob of sequence ii?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-16)*(14 + 0). Let i = k - 293\/56. Let u = 567 - 567. Are u and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -234 - -236. Suppose -3 = 5*g + 7. Put 1, g, 6, w in increasing order.\nAnswer: g, 1, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/8)\/(-9)*8\/(-496)*-10?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*g - 13 - 6, -2*g - 5*x = 0. Solve -4*b = 2*u - 0 + 4, u = g*b + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 3*s**2 - s - 11. Determine k(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16710, 33388, 50066, 66744, 83422?\nAnswer: 100100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8334?\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:27 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 407.7951 nanograms?\nAnswer: 0.0000004077951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/540*(-96)\/(-936)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83527*g**4 + 2*g**2 - g + 20495174 wrt g.\nAnswer: -334108*g**3 + 4*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -406. Let t = 364 + l. Let w be (-2 - -3)*1\/4. What is the nearest to -1\/3 in w, t, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 52*h**2 - 605*h + 128. What is k(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**5\/6 + 40*b**4 - 266581*b**3\/6 + 664388*b**2\/3 - 353982*b + 530728\/3 = 0.\nAnswer: -652, 1, 2, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 = 53*i - 48*i - 147 + 75 for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**4\/24 - 3*b**3 - 95*b**2\/2 - 28*b. Let x(a) be the first derivative of p(a). Determine x(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21492139?\nAnswer: 241, 257, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*o**2 - 162*o**2 + 466*o**2 + 1069*o**2 + 602*o**2)*(-4*o**2 - 55*o + 55*o).\nAnswer: -8196*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:29 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2437 is divided by 85.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l - 9*l - 9. Solve -l*q - 3*q - 24 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.09 + -1.1. Let n = 0.41 + g. Which is the closest to -6? (a) n (b) -3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 9:38 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 6*k + 12. Let m(r) = -r**2 + 6*r + 11. Let j(l) = -3*m(l) + 2*u(l). Let b be j(8). Solve -b*x + 4*x = 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10626688, -10626676, -10626642, -10626574, -10626460, -10626288?\nAnswer: -10626046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -357*i**2 + 7*i + 14. Let r(a) = 360*a**2 - 8*a - 16. Determine -7*o(w) - 6*r(w).\nAnswer: 339*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3408 by -213.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15312 + -1?\nAnswer: 15311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 8 + -4)\/2. What is the third derivative of 3*p**6 + 10*p**2 - p**6 + g*p**6 - 5*p**2 wrt p?\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -30 + -3 + 13 - (-9 + (-2 - -5))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in -0.3, -97, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + 66 + -7 + 5 + -86 + -3.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -16. Let f be 1\/(1\/v) - 3. What is the closest to f in 0.1, 1\/6, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - ((-4*sqrt(153) - sqrt(153) - sqrt(153))*3 - sqrt(153)))\/(-2*sqrt(9)*1 + sqrt(9)).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 367510553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Suppose -c*w + 4*w + 3*h = -12, -3*w = 3*h + 6. Let m(d) = -d**3 + 2*d**2 + d. Let y be m(-1). Is y less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1156, 2297, 3432, 4561, 5684, 6801, 7912?\nAnswer: 9017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x**2 - 7*x - 7. Let j be v(-4). Let t = 282 - j. Suppose 139 = q + 4*y, -4*q - y + 422 + t = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9 - -1.9. Which is the closest to s? (a) 0.5 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x**2 - 4*x - 4. Let j(w) = -19*w**2 - 11*w - 11. Let a(l) = -4*j(l) + 11*t(l). What is a(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1104 and 14.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 11*p**2 - 855*p + 360. Let t be f(24). Find u such that 5\/2*u**2 + 2*u**3 + 0 - 1\/2*u**4 + t*u = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 21*q**2 + 20*q + 334. Give h(-21).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-185)\/(-360)*4*3\/(-24) and 97\/320.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -605.0008 - -606. Let s = k + -1. What is s rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561 a factor of 35457045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - b**2 + 2)*(-3925358*b + 3925156*b - 2 + 5) as m*b**2 + u*b**3 + d*b + t and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 6 = c. Let l = c - -7. Let b be l\/3*(-15)\/4. Solve 0 = -7*x + 2*x + b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 p, 1 c, and 1 o when four letters picked without replacement from hhophyhoohcchhhcoohh?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -89 divided by -11\nAnswer: 89\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from ydz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 410 divided by 203.\nAnswer: 410\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 2*g**2 - 2*g + 1. Let q be (6\/(6 + -4))\/3. Suppose 11 = -5*j + q. Let n be u(j). Solve 3*y = -2*y - n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3 + 3*n - 11*n + 2*n**3 - 5*n**3 wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*g + 142. Let z be 0\/(-3) - (1 - g). Suppose 4*n = -n, n - z = -5*y. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5301170 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62609276 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8006 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, e: 1, w: 3, n: 4}. Give prob of picking 1 w and 2 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 91049957?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 17 = -7*j. Let i = 27 - 18. Suppose i*m = 14*m. Sort j, m, -4, 1 in descending order.\nAnswer: j, 1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-15))\/((-4)\/24). Suppose 1153 = 5*w + x*t - 0*t, 0 = 2*t + 6. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18374711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120298?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) -4 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113263\/35 - 3236. Let u(y) be the first derivative of 5\/7*y**3 + 0*y + v*y**5 - 3\/7*y**2 + 7 - 3\/7*y**4. Factor u(g).\nAnswer: 3*g*(g - 2)*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 2. Let n(t) = -2*t**2 - 94*t - 14. Give 5*k(d) + n(d).\nAnswer: -2*d**2 - 89*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -27*i**5\/10 + 13*i**4\/3 + 2*i + 4. Find the third derivative of h(b) wrt b.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k**(7\/5))**(-7)*(k**(-2\/5)*k*k*k\/((k*k**(2\/5))\/k*k)*k)**(-2\/95) assuming k is positive.\nAnswer: k**(1308\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 6*s - 9*s - 0*c, -5*c = 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1 - (-11 - -17).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-5)\/(-10) - (-227999988)\/4. Let n(w) = w**2 - 1. Let s be n(-2). Suppose s*x - f = 6*x. What is x rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -183 - -200. Suppose -h*n + 21*n = 1404. What is the highest common factor of n and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 14*c**2 - 16*c + 6. Let y be m(-15). Let t = -19 + y. Let i = 26 - 22. Sort t, -5, i in decreasing order.\nAnswer: i, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or -194?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69812960.\nAnswer: 2, 5, 7, 83, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + c = -1 + 2, -3*r - 2*c = -22. Let x = -2.4919 + -0.5081. What is the second smallest value in x, r, -0.5, -11\/5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - 0.6. Let x = 167 + -1505\/9. Which is the third smallest value? (a) t (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153705*f**3*x**5 + 2*f**3*x - 2*f**2 - 19851*f*x - 4*f + 168*x**5 - 26*x wrt x?\nAnswer: -3074100*f**3*x**3 + 3360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21cc3bc (base 13) to base 9.\nAnswer: -21502722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2765, 7259, 11751, 16241?\n\"Answer: -l**2 + 4497*l - 1731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -112*z. Let p(b) be the second derivative of -b**3\/6 + 2862*b. What is c(p(l))?\nAnswer: 112*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**5 - o**3 + o - 1. Let z(p) = -7*p**5 + 7*p**3 - 14*p**2 - 7*p + 7. Let d(u) = -14*q(u) - 2*z(u). What is the third derivative of d(v) wrt v?\nAnswer: 1680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 83, 240, 475, 788, 1179, 1648?\n\"Answer: 39*i**2 - 38*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 5\/(-5))*5. Let f be (0 + 3)*(-4)\/(-6). Solve b + 3*t = f, 2*b = -0*t + 3*t - x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239838, 479821, 719942, 960201, 1200598, 1441133, 1681806?\nAnswer: 1922617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 1) + (-28)\/15. Suppose 18 = -3*y + 3*n, n - 5*n + 23 = -3*y. What is the nearest to k in -3, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3944 - 3948. Let n = 2 + -5. Which is the nearest to 2? (a) 4 (b) u (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2\/(-1)) + 1064\/(-190)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*w - 6177 + 6177)*(1 - 8 - 3).\nAnswer: -1230*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjbhx. Give prob of sequence bc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/(-88))\/(2\/(-12)). Let n = -1.9 - -10.9. Let v = n + -9. Which is the nearest to v? (a) 5 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-5))\/(18\/(-45))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -11*s**2 + 5*s + 15. Let b be w(-3). Let i = b - -225. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 762.794394 and -195156.\nAnswer: -194393.205606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 195\/(-52)*(-12)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 3, 2\/7, 0, -10, -1303, 0.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:35 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u**5 - 6*u**5 - u**2 + 5*u**5 - 2*u + 4*u**5 - u**5 + 4*u**5 + (-u**2 - 3 + 3)*(0*u + 0*u - 2*u**3) + 3*u**5 + 0*u**5 - 4*u**5.\nAnswer: 17*u**5 - u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1478, 21, 2, 0.3, 0.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -13. Find l such that -6*l**2 + 5 - n + 3*l**3 - 2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (1 + -5 + 5). Suppose 0 = -3*b + 37 + o. Suppose -b = -h - 10. What is the smallest common multiple of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -103, -57?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2331\/2 + -1157. Let a(k) = -k**3 - 5*k**2 + 6*k + 9. Let u be a(-6). Is u equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.052 rounded to 1 dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 11) in base 9?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/6 and -151\/1578.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2. Let p(b) be the first derivative of 0*b + 4\/3*b**3 - 58 - 15*b**2. Determine p(s(y)).\nAnswer: 16*y**4 - 60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5810? (a) -1 (b) 0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (9 - 0) + -7 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1232*c**2 - 24*c. Let i(t) = -475551*t**2 - 9270*t. Give 4*i(u) - 1545*s(u).\nAnswer: 1236*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1594*x + 1631*x + 1647*x - 4766*x + 7.\nAnswer: 106*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 3, g: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.084228246\nAnswer: 0.0168456492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {d: 4, r: 1, h: 2, k: 1, x: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 465 - 247. Suppose 4*k + l = 2*k - 5*i, 5*k = -2*i - 524. Let a = k + 581\/6. What is the common denominator of a and 109\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-6*(-13)\/39).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**6\/120 - w**5\/40 - w**4\/8 - w**3 - 2. Let g(z) be the third derivative of r(z). Calculate g(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1131517 is divided by 141436?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27829 + ((-4)\/9 - (3675\/(-189) - -17)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let w(d) = d**2 - 4*d - 3. Let i = 2 + -5. Let x(j) = i*r(j) + w(j). Let u be x(8). Solve 0 = -u*t + t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1584)\/(-10) - (-4)\/(-10). Let l = 6871 + -6972. Let q = l + t. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - d - 100074 = 19131, z = 5*d + 39735. Does 204 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(7\/4)))\/g*g**2\/g)**3*(g\/(g**2\/g))**(-2\/19)\/(g**(-2\/17)\/g**(1\/3)) assuming g is positive.\nAnswer: g**(-979\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 - d**2 + d**2 + (d**2 - 18*d + 18*d)*(4 - 4 + 2).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.54 take away -6?\nAnswer: 7.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 + 1.6. Let q = -0.8 + 1. What is the biggest value in q, 5\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 + 0.11. Which is the smallest value? (a) 4 (b) u (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1205 - 1204.99990165. What is s rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvx when three letters picked without replacement from {w: 2, a: 2, y: 2, v: 1, h: 1, x: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 30. What are the prime factors of c(0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5730228605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3448*j**5 - 920*j**2 - 4 wrt j?\nAnswer: -206880*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/6 and (-2)\/(207\/60 - 4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 247*i**2 - 1814*i - 23420. Determine d(239).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404 a factor of 97204718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 798 = -748 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1256 divided by 1\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Let p(c) = -2*c + 1. Let i be p(1). What is the tens digit of 2 + 8 + y - i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/39*((-138)\/4830)\/(13\/7)?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-214)\/(-84)*8\/76. Let f be -3 - 0 - 2\/(-114)*172. Let h = f + s. Which is the nearest to 1? (a) h (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4 + 2)\/(15\/720). Let v be 1\/4 - 25938\/x. Let n be v\/378 - (-4)\/6. Put n, 1\/4, -1 in ascending order.\nAnswer: -1, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1727181\/4, 1\/3, 3, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -204 and 68.3.\nAnswer: -13933.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 2:46 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 6 - 3*i**4 + 1\/15*i**5 - 21*i**2 + 54*i**3 + 0*i. Let o(y) be the second derivative of q(y). Factor o(r).\nAnswer: 4*(r - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**5 + 813*g**4\/2 - 1990*g**3 - 1161. What is the third derivative of l(q) wrt q?\nAnswer: -120*q + 9756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44185 is divided by 9741?\nAnswer: 5221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ddbydjyddddy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 210, 215, 234, 273, 338, 435, 570?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10627433?\nAnswer: 461, 23053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/8 + (-1923)\/8. Let n be 9\/6*(l\/18)\/(-5). Solve n*c - 18 = -2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1649580364 to the nearest integer?\nAnswer: 40615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 7, 10, 13, 16, 19?\n\"Answer: 3*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 256075 - 256075 - 11532*m**2 to the form z*m + b*m**2 + u and give b.\nAnswer: -11532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.7 or -702?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*p - 292 = 2*q, -2*q - 304 = -p. Let g = q - -165. Solve -4*w + 33 = -5*j, 5*w - g - 16 = 4*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32868.\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 + -116. Let j = z - -67. Calculate the remainder when 163 is divided by j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2 - 68*c - 132. What is the hundreds digit of w(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-230)\/15 + 2*8. Let w = 138 + -247. Sort w, 2, j.\nAnswer: w, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -143 in -224, 0.27, -5?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + u - 5*u = -0*u + 3*u + 599, 359 = 3*y - 4*u for y.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -10. Suppose 0*c - g = -2*c. Solve -3*i = -5*v - 24, i - 4*v - 6 = -c*v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*o**3*v + 14563*o**3 + 3557*o**2*v**2 wrt v?\nAnswer: -13*o**3 + 7114*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 17*z + 18. Give y(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2. Let v(u) = 2*u - 5. Let p(y) = 3*y - 7. Let d(r) = 5*p(r) - 7*v(r). What is k(d(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (-1 - (11 + -10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113806 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6222*h. Let w(g) = -58120*g. Give w(v(y)).\nAnswer: -361622640*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.4 + -1. Let p = 18.6 + s. Let m = p + -22.999933. Round m to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100.6 - 101. Sort -19, 0.2, u in ascending order.\nAnswer: -19, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 32 = 2*m + 8*n, 0 = 5*m - 5*n - 70. Solve f - 19 = -4*q, -2*q - 3*f = -5*q + m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -12*g**2. Let x(n) = -65*n**2 + 2*n. Calculate x(c(k)).\nAnswer: -9360*k**4 - 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 5 (c) -4 (d) -2\/21 (e) 7833\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**6\/360 + q**5\/120 - q**4\/24 - 2*q**3\/3 - 5*q. Let v(y) be the second derivative of n(y). Calculate v(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbbxxxue. What is prob of picking 2 x and 1 b?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20419*z**3 + z**2 + 1083*z - 5?\nAnswer: 122514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 252466 - 3*m**2 - 126232 - 126245 + 52*m. Calculate q(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**2 - 4*h + 2. Let l = -241 + 245. Suppose -1 - 2 = q. Let d(g) = -4*g**2 + 1 + 2*g + g - 6*g. Give l*d(u) + q*z(u).\nAnswer: -u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - 26 - (-13 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffofooooffooffofoff. Give prob of picking 2 f.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 167678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(1\/2)\/z)*z)**(3\/8)*((z\/z**(-2\/7))\/z)**(-7\/3)*(z**(-6)\/z*z**(3\/4))\/(z**(-1\/3))**(-13) assuming z is positive.\nAnswer: z**(-159\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 7:00 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006740 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 4:30 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -43, 47, 1.\nAnswer: -43, 1, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**3\/6 - 9*y**2\/2 + y - 6. Let v(l) be the first derivative of q(l). Determine v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74818944.08 to the nearest one hundred thousand.\nAnswer: 74800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = 6*k. Suppose k*a - 175 = 175. Suppose a = x + 4*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 740 - 1000 = 0. Let u = 187 + q. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2613260.68 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + f + 3*f + 2*i - 31 + 15 = -0*i, -10*f - 118 = i for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcrc when four letters picked without replacement from {k: 5, r: 3, c: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62 + 0\/(2 + -7)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 392.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27\/4 - 733\/108. Let x = -7\/54 + l. Which is the nearest to -1\/2? (a) -5\/3 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3622?\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391625641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:04 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**5\/20 - 5*z**3\/6 + 4*z**2 + 15. Let k(o) be the second derivative of h(o). What are the prime factors of k(3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/47? (a) 4 (b) 105 (c) 1\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 7*d - 1. What is the remainder when 27 is divided by p(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 3*g = -2*a + 6, -g + 3 = 0. Let r be (-1)\/a + 50\/30. Suppose 2*n + 15 = -n, 0 = -r*x + n + 33. Calculate the greatest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omm when three letters picked without replacement from xmrrrrofrrfmf?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 9:24 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469.552 decades in years?\nAnswer: 14695.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 321\/2*28\/2. Let j = y - 35969\/16. Let f = -12215 - -170931\/14. Calculate the common denominator of f and j.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 15 + 1)*(-3*v**4 + 2*v**4 + 2*v**4).\nAnswer: -19*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -38. Calculate the least common multiple of v and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5787290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0291 + -275759.\nAnswer: -275759.0291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328788 is divided by 1482?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -7\/36*i**4 + 2\/3*i**2 - 1 - 2\/3*i**3 + 20*i. Let m(r) = 0. Calculate r.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:17 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17889*r - 45888*r + 18699*r - 25038*r.\nAnswer: -70116*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/3800 and -17\/1625.\nAnswer: 247000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-12))\/(4\/((-128)\/12))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 15*u - 19*u + 2434, -3*u - a + 1825 = 0. Is u a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 760*j - 699*j - 15051506 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-3\/13)*j*j*j**(-10)*j*j*j assuming j is positive.\nAnswer: j**(-55\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 1. Let g = x + 1. Let v(m) = -95 - 3*m + 2*m + 97. Calculate v(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4973646.\nAnswer: 2, 3, 828941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*o - 83*o + 2641 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -195. Suppose 5*j + t = q, -5*t - 117 = j - 4*j. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.99 + 0.01. Let n be (-44)\/40 + (-2)\/(-4). Let b = 0 - -0.5. Put n, b, l in descending order.\nAnswer: l, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = x - n - 26, 5*n = -5*x + 80. Suppose l - 5*l = -3*f - 19, -32 = -5*l + f. What is the least common multiple of l and x?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4\/5 - 864*x**3\/5 + 62208*x**2\/5 = 0. Calculate x.\nAnswer: 0, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 16*u**3 + 77*u**2 - 1257*u + 41. Is z(22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.032 * 8\nAnswer: 0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1415*h**3 + 23*h**2 + 7*h + 19. What is the units digit of w(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23943 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**3 - 19*i**2 + 14*i - 42. Let o be m(6). Suppose 0 = -d - 0 - 1. Calculate the least common multiple of d + 7 + o\/3 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361798 is divided by 180.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5922.47ml in litres?\nAnswer: 5.92247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b**(-2\/13))\/(((b*b**(-2\/3)*b)\/b)\/b)**(7\/11) assuming b is positive.\nAnswer: b**(116\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i*i\/(i\/i**(4\/3))))*i\/(i*i\/i**(-1\/8)))**(15\/4) assuming i is positive.\nAnswer: i**(265\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*p + m - 4, -4*p - m + 4 = 0. Suppose -p*l = -8 - 20. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 4*(-3)\/(-4). Solve h = -3*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4) + 393\/6. Let p = k - 37. What is the remainder when 58 is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 0. Let s = l - -7. Let d = -1 - s. Which is the third smallest value? (a) 0.2 (b) -0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14292 + 28587\/2. Let n = 19\/120 + 1\/24. Let w = -2\/5 - n. Which is the smallest value? (a) 0 (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 23 = -2*n, -4 + 29 = 4*n - 3*b. Let k(j) = -9 + 1 + 5*j**2 + 11*j - j**2 - 2*j**2 - j**3. Calculate k(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 0 + 0)*(-2 + 5 - 1).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*z - 16 - 4, 5*z - 5*k - 40 = 0. Let w be ((-3)\/z)\/(2\/(-4)). Solve -2 = -f - f + 2*g, 4*g - w = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 840 = -6*i. Let s = -105 + i. What is the hundreds digit of (147 + s)*(6 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 10. Let n = -4.5 - r. Let x = -1.5 + n. What is the third smallest value in -0.1, x, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 5*y**6\/2 - 14*y**3\/3 + 20. What is the third derivative of z(u) wrt u?\nAnswer: 900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 25 = -3*f, -4*i - 2*f = -34. Let c(o) = -5*o**2 + 5*o - 13. Let b(u) = -9*u**2 + 9*u - 25. Let n(l) = 6*b(l) - 11*c(l). Is 6 a factor of n(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891532585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 - 4179*y**3 - 9*y**2 - 84443*y?\nAnswer: 24*y**2 - 25074*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 114702 + 4?\nAnswer: 114706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493 - 93 - 1102 = 7*m + 32*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17746428 a multiple of 583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1321 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**7\/294 + v**6\/210 - 3*v**5\/140 - v**4\/84 + v**3\/21 - 4*v. Suppose k(q) = 0. Calculate q.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1457 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/24 of a week?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 1, s: 3, j: 1}. What is prob of picking 1 y and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2 - 0. Let h = -1 + n. Let q = -2 - h. Solve 0 = -3*k - q - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-21)*(63 - 54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -889034201.00000058 - -889034211. Let w = 1.9 - 11.9. Let z = u + w. Round z to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y*y*y*y**(-16)\/y)\/y*y**(-17)*y assuming y is positive.\nAnswer: y**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120741 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243)*-1 - ((sqrt(15)\/sqrt(5))**2 + -3 - sqrt(3) - sqrt(3)).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - 2*a**2 + 2*a**2)*(-3*a - a + 5*a) + (0 - 4 + 2)*(0*a**2 - 3*a**5 + 0*a**2) + (a**2 - a**2 - 2*a**5)*(-3 + 5 - 4).\nAnswer: 8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11662990.82 rounded to the nearest 1000?\nAnswer: 11663000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 8:55 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - -2 - (-30)\/12*-2. Let x be -6 + (-62 - -7) + (-4)\/b. Which is bigger: -60 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10))**11\/(k**(-12))**33 assuming k is positive.\nAnswer: k**286","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 30466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1\/5 (c) 2 (d) -1\/294 (e) -63 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 + -1 - (-1 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -4*d + 991. Let u = 64 + d. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t**2 + 10*t**2 + 9*t**2 - 36*t**2 + 54*t**2.\nAnswer: 61*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25288 and 9048.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)\/n**(-6)*n**1\/(n**(-4\/3)*n) assuming n is positive.\nAnswer: n**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 30*g**2 - 172*g - 15. Let x be p(5). Solve x = -170*z + 168*z + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054744657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 447 - 480. What is the units digit of (l + -3)*(-6)\/(120\/565)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 24*k**2 + 42*k + 997. Determine n(19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2629269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*z + 630*z - 155*z - 156*z - 159*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/1837 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1192*b - 1256*b - 1529*b + 1089*b.\nAnswer: -2888*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/((j\/j**(8\/7))\/j)*j\/j**(-3))\/(j**(1\/3))**(-2\/75) assuming j is positive.\nAnswer: j**(12839\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 1. Let r be k(4). Let u = -2 - -8. Suppose 3*a + u = a, j + 2*a = -3. Put r, -1, j in descending order.\nAnswer: r, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04432 - 0.04432. What is the biggest value in -1\/4, z, -0.4, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.923 and 0.7?\nAnswer: 2.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**7\/1470 + 13*j**6\/168 - 159*j**5\/70 - 119*j**4\/6 - 1156*j**3\/21 - 2245*j**2. Factor v(l).\nAnswer: -(l - 34)**2*(l + 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/4, -0.5 in descending order.\nAnswer: 2, 1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/279 and -25\/741.\nAnswer: 68913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502, -503, -504, -505?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + p + 2. Let c be x(-5). Suppose -c - 26 = -6*a. Suppose -a*y + 5*y = 64500. What is y rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/7 (b) -5\/3 (c) 1010\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 105179?\nAnswer: -1\/105179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 4*k**2 - 2*k + 0*k**2 + 4*k**2 - 1. Let f be i(-3). Which is the biggest value? (a) f (b) 3\/5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10423747 * -0.2.\nAnswer: -2084749.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1465 - 0.011124.\nAnswer: -0.157624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1002 * -8465.\nAnswer: 848.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 187*n**2 + 14*n - 2. Let b be k(2). Suppose s + 465 = 3*a, -s + 3*s = 5*a - b. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 z when three letters picked without replacement from {z: 4, n: 3, m: 7, b: 5}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 3*f**2 + 2 + 8*f**3 + f - 7*f**3 to the form h*f + q*f**2 + i + c*f**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -10.9 (c) 3 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 39*y**2 - 32*y + 166. Let c = 541 - 579. Let n be u(c). Is n > 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14)\/(f\/f**(1\/2)))\/(f\/(f\/f**5))**(-7\/2) assuming f is positive.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28745206 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -12?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 3724.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + o - 2. Let a be n(3). Let q be 12\/(-30) - (-34)\/a. Factor -d**4 + q*d**5 + 3*d**4 + 4*d**4.\nAnswer: 3*d**4*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2\/6 - 9690626*p\/3 - 6460418 = 0.\nAnswer: -2, 19381254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -531410 - -579\nAnswer: -530831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 188 or 0?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, 11, 0.\nAnswer: 0, 11, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s - 100. Let f be q(20). Suppose -n - 3 + 6 = f. Sort -1, n, 4.\nAnswer: -1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.179 grams in tonnes?\nAnswer: 0.000576179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 4:42 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000000111 - -11000?\nAnswer: -11111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 609.4 - -492.6. Which is the biggest value? (a) r (b) 2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u**2 + 3*u - 2. Let j(c) = 11*c**2 - 5*c + 4. Let f(b) = 4*j(b) + 7*z(b). Let n(l) = -2*l**2 - l - 2. What is 6*f(q) + 7*n(q)?\nAnswer: -2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167836735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -385786, -385786, -385784, -385780, -385774, -385766, -385756?\n\"Answer: b**2 - 3*b - 385784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Let r(g) = -2*g**3 + 24*g**2 - 23*g + 13. Suppose -7*a + 127 - 50 = 0. Let d be r(a). Solve p + 5*q + 17 = 0, 0*q = 2*p - b*q - d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 5*v + 5 = 0. Suppose 5*z = -5*y + 4 + 1, -16 = -y - 4*z. Let x = v - y. Solve -x*f - 4 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 66 = 2*u - 32, 4*u = -3*f + 94. What is the greatest common divisor of 68 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/20 and 48\/(-40)*155\/(-32).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = -20, -2*s - 11904 = -4*y. Suppose 85022 + y = -q. Round q to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-10))**(-13) assuming f is positive.\nAnswer: f**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j - 28*j = -40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3\/7*l**2 + 93\/7*l - 93\/7*l**3 + 3\/7*l**4 + 0 = 0.\nAnswer: -1, 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 595 + 599 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 7472?\nAnswer: -3\/934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 4, g: 3, x: 1, y: 5}. Give prob of sequence dg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 4*p + 4. Let x(i) = -i**3 + i - 1. Let k = 13 + -9. What is k*x(f) + o(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 + 2*d + 1. Let p be 2\/58 - (-94686)\/31929. Let v(z) = -2*z**3 + 3*z + 1. Give p*c(j) - 2*v(j).\nAnswer: -5*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1689121*b**3 - 8*b**2 + 81088113*b wrt b.\nAnswer: 10134726*b - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2 + 4)\/(-2))\/(17\/(-25959))?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-16))\/(23496\/64 - 3). Which is greater: z or -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 - -106. Let x = l - 20. Suppose 5*z + v - 12 = -5, z + 9 = 5*v. Sort x, -0.2, z, 0.4.\nAnswer: -0.2, x, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-138)\/(-142) + -1). Let n(d) = d**3 - 24*d**2 + 113*d - 24. Let q be n(18). Let z = h - q. Solve -2 = z*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42525, 84956, 127347, 169698, 212009?\n\"Answer: -20*r**2 + 42491*r + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88804.38 micrograms in kilograms?\nAnswer: 0.00008880438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2705.75 minutes to nanoseconds.\nAnswer: 162345000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**2\/2 - 5*i - 3564. What is y(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 58 = -18. Suppose 117 + 167 = g*y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t + 4, -4*f + 6 = 3*t. Let q be -4*(-2 - (-3)\/2). Let b = q + -1. Solve -2 = -f*x + b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from {s: 2, x: 1, o: 1, h: 1, j: 1, m: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 918 and 45?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and -0.44?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 12*n + 5015 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -11*t**2. Let w(q) = 4*q - 966. Determine b(w(o)).\nAnswer: -176*o**2 + 85008*o - 10264716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1408 and 7\/16.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2355 * -0.0194.\nAnswer: 45.687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*(j**8*j)\/j))\/j**(2\/13) assuming j is positive.\nAnswer: j**(-119\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2812 by 148.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22008, -88038, -198088, -352158, -550248, -792358, -1078488?\nAnswer: -1408638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379616 is divided by 444?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001352383 rounded to six dps?\nAnswer: -0.001352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1407*c + 18258 = -37748 + 2540 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3 + 2*w - 3. Let z(o) = -2*o**2 + 3. Let r(x) = -x**2 + 1. Suppose -3*v + 7*v = -f - 4, -v - 3*f = 1. Let c(t) = v*z(t) + 3*r(t). What is c(p(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 43, 65, 87?\n\"Answer: 22*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 924\/110 - 4\/10. What is the lowest common multiple of 0*2\/j + 18 and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**4 - 35*r**3 + 15*r**2 + 155*r + 100 = 0.\nAnswer: -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d. Let o(s) = -5514*s. Determine o(h(r)).\nAnswer: 44112*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*i - 0*i. Suppose 5*b = -z - 10, 4*z - b - i = -3. What is the greatest common factor of z and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17 - 16)\/(1\/79). Suppose -88 = 4*q + 4*o, -4*q + 2*o = -3*o + d. Let k = -17 - q. Calculate the greatest common divisor of k and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33890598 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (19 - 20)*(-21 + 4). Let p be (4 + 1)*(-28)\/(-10). Is l smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**3\/6 + 2*d**2 - 5*d. Let j = 20 - 20. Calculate the least common multiple of 9 and i(j).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*j + 62*j - 412 = 28*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/4 + 1323\/12. Suppose -y = -2*f - 21. Let s be (-8 - 2) + 41 + -16. What is the greatest common factor of f and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**4 - 85*n**3 - 280*n**2 - 260*n = 0.\nAnswer: -13, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + -2 + (sqrt(700) + (-2*sqrt(700))**2 - sqrt(7)).\nAnswer: 12*sqrt(7) + 2798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 + 109. Let f(g) = -g**2 - 6*g + 2. Let i be f(-6). Suppose 72 = i*v + 4*w, v + w - 21 = h*w. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 - 1)*(4*u - 3*u + u) + (-3*u + 9*u - 2*u)*(3 + 2 - 4))*(-22 + 26 + 14) to the form r + y*u and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 73871131651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 308295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -439949 divided by -439949?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -209 in 2, 0.4, 42?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a. Let g(r) = 3*r. Let q(k) = 2*g(k) + 3*x(k). Suppose 157201 = 17*y + 157405. Let h(w) = -8*w. Give y*q(n) + 5*h(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - h + 106 = 0, 41 = i + 2*h - 12. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/405 and -68\/45?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-5 + 13 - 4 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and 532?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 292721088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*h + 1391*h**3 - 12*h + 22*h + 9*h - 1392*h**3 + 15*h**2 to the form l*h**3 + q*h + u + y*h**2 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 14*s**2 - 14*s. Calculate the remainder when 168 is divided by i(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*p - 4*p + 95, 4*j = -4*p + 204. Suppose 0 = -g + 3*g + 5*y - 45, y - 61 = -3*g. Calculate the highest common divisor of p and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 - (0 + -4 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 225 divided by 45\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 8*z + 11. Let v be a(-9). Let d be (4\/(-3))\/(v\/(-6)). Let j(n) = n**3 - 4*n**2 + 4*n. Let r be j(3). Is d less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2*1)\/(14 - 12). Let w be 2*(0 - 0 - 1). Do i and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 839 - -1 - (-29)\/((-348)\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*(-4 + -3 + sqrt(304) + 1 + (-1 + sqrt(304))*-6 + sqrt(304))**2 + 2).\nAnswer: 9726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1123321302 (base 4) to base 10.\nAnswer: 376434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 73*z - 22. Let g(h) = 24*h - 8. Let u(l) = -17*g(l) + 6*t(l). Let d be u(0). Solve 2*m + d = -3*m - 4*p, 4*p = 2*m + 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -64, -95, -124, -151, -176, -199?\n\"Answer: z**2 - 36*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9384 + 0.0616. What is the closest to -1\/4 in -0.025, 0.1, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 - ((-42 - -44) + (9 - -2) - -66)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1298057, 2596132, 3894207?\nAnswer: 5192282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32004.4ml to litres.\nAnswer: 32.0044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 - 35*c - 70. Let f(a) = 9*a**2 - 65*a - 133. Give -6*f(d) + 11*n(d).\nAnswer: d**2 + 5*d + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*2 - (-7590 - (-224)\/8).\nAnswer: 2, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9.659 or -2234\/11?\nAnswer: 9.659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 8893, -5, -2 in increasing order.\nAnswer: -5, -2, 8893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = b - 0. Let l be 1*(-6)\/(-12) - (-5)\/b. What is the units digit of (l + -24)\/(3 + (-34)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2560\/280 + 8\/(-7). Put 5, a, 0, 9 in ascending order.\nAnswer: 0, 5, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32e48 (base 16) to base 2\nAnswer: -110010111001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/56)\/(55404\/(-24003)) and 89\/15?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*a + 2201 = 211*a + 5*q, -3*a + 3333 = -3*q. Calculate the remainder when a is divided by 369.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169749\/14 + 12118. Calculate the common denominator of o and -99\/58.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, f: 1, l: 3, g: 1, t: 9}. What is prob of sequence lf?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70176 and 172?\nAnswer: 70176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*z + 5954 = -207*z - 139*z. Let v(i) = 3*i + 10. Let j(f) = -7*f - 21. What is z*v(a) - 6*j(a)?\nAnswer: 3*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -17)\/((-15)\/(-2660)) + -5?\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -188 + 188. Suppose b*l = 5*l - 640. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -2, -104, -5 in descending order.\nAnswer: 3, 1, -2, -5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 195850.\nAnswer: 391700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 12:31 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 26*m**2 - 63*m**2 + 23*m**2 + 20*m**2. Let k(s) = 13*s. Determine h(k(t)).\nAnswer: 1014*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 218*u + 219*u + 51395, -a + 5*u + 12863 = 0. What are the prime factors of a?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a + 3*q = -48*a + 11, -2*q = 5*a - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 16. Let x = 25216704.9999934 + -25216701. Let t = g + x. What is t rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3*y - 3*q = -345, 0 = -5*y + 2*q + 575. Suppose 7*v - 2*v - y = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d - 51. Suppose 8*f - 86 = -30. Let q be y(f). Suppose 0*i = -q*j + i + 15819, 15823 = 5*j - 2*i. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 4*d + 105 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + (1 - 1) - (-1894 + 1926)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 39*q**8\/28 - q**6\/15 + 11*q**4\/4 + q**2\/2 + 17*q + 3. What is the third derivative of t(h) wrt h?\nAnswer: 9360*h**3 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89328918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 3, y: 5, i: 1}. Give prob of sequence yn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 42 = -3*l, -f + 3*l - 24 = f. Let d(m) = -m**2 - 10*m - 9. Give d(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 + 43 + -7 + 157?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*u*y**4 - u*y - 292*u wrt y.\nAnswer: -60*u*y**3 - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52700 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 3:27 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150037186?\nAnswer: 2, 13, 19, 61, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*z - 47. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210122.4g to milligrams.\nAnswer: 210122400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -37) + -18 - (20 + -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 5 + 6*o + 3*o.\nAnswer: 8*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -11, 5.\nAnswer: -11, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -280375, -5, 4, 454 in decreasing order.\nAnswer: 454, 4, -5, -280375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0421*2.862.\nAnswer: -0.1204902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0041617 to 5 decimal places.\nAnswer: -0.00416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/2)*f*f\/f**0*f*f\/(f**(3\/16)*f)*(((f\/(f**4*f*f*f))\/f)\/f)\/f)**(1\/6) assuming f is positive.\nAnswer: f**(-41\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18224683 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/8 + (-312)\/64\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 6, k: 12}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgg when three letters picked without replacement from dzdngnngzgddzng?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -103630 or -2797972\/27?\nAnswer: -2797972\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 23*o**5\/20 + 79*o**4\/24 + 46*o**2 + 39. Let z(g) be the second derivative of t(g). Find the second derivative of z(d) wrt d.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 1072*f + 67980.\nAnswer: 4*(f - 165)*(f - 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55304 (base 8) to base 12.\nAnswer: -11544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 22*j**3 - 2*j**2 - 2*j + 2. Is r(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*s + 5*s = 25, 4*v + 3*s = 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 5. Let h(k) = 3. What is 2*f(b) + 5*h(b)?\nAnswer: -2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -309, -210, -69, 114, 339, 606?\n\"Answer: 21*u**2 + 36*u - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2902 + 2902. What is the biggest value in -5\/8, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -v, -2*n - 3*v + 13004 = -39805. List the prime factors of n.\nAnswer: 2, 3, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7460226.000022 + -7460197. Let w = r - 29. Round w to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01378070403 rounded to four decimal places?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 13*w + 1. Let b be 3\/(3 + -2 - 0). Let q be y(b). Suppose -3*k = -5*l + 32, l - 5*k = -4*l + q. Solve 3*j = -l - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21206, 1, 0 in descending order.\nAnswer: 1, 0, -21206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -170423, -340515, -510605, -680693, -850779?\n\"Answer: j**2 - 170095*j - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from whhbwhhwh?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.0309 - 0.0309. Let r = 9.999999552 - i. What is r rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0*l - 2*l - l - 2 + 2*l**2. Let x be t(3). Solve x*p - 2*u = 2*p + 16, 0 = 3*p + 2*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 454528 and 57028.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -11*p**2 - 6*p. Let z(t) = -15*t**2 - 9*t + 11. Let u(h) = -5*h**2 - 3*h + 4. Let c(o) = 11*u(o) - 4*z(o). Give 7*c(j) + 3*m(j).\nAnswer: 2*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -2076\/37, -1\/2 in descending order.\nAnswer: 45, -1\/2, -2076\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -577 by 43.\nAnswer: -577\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + 1211 + 24 + -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 6:14 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(7\/3))\/k**(1\/7))\/(k*k**(-1\/5)\/k)**26 assuming k is positive.\nAnswer: k**(986\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1396716 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 312\/2650 + 138\/(-1725)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -178, -581, -1364, -2653, -4574, -7253?\n\"Answer: -21*a**3 - a**2 + a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u = 18. Let q(z) = -2*z**2 + 4*z. Let o be q(u). Is ((-1)\/((-12)\/(-21)))\/(2\/o) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 184, 295, 462, 691, 988?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10.7 (b) 1\/5 (c) -12 (d) -0.3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*v + 34, -5*v - 67 = -2*o - 2*v. Let d = -20 + o. Let l = 302 + -296. What is the greatest common factor of d and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**5\/40 - 19*d**4\/24 - 16*d**3\/3 - 15*d**2 + 193*d. Find b such that w(b) = 0.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4814326.\nAnswer: 2, 11, 218833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 9261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40398600 and 66.\nAnswer: 40398600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 1. Let b(m) = -3*m**2 + 15*m + 15. Calculate -6*b(r) - 90*i(r).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 27 = 4*z + 13, 5*f = -3*z + 57. Let j = f - 10. Find the third derivative of -4*o**2 - j*o**4 - 5 + 5 wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**3 + 11*a**2 - 4*a - 11. Give i(4).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -83 + 68?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 6. Let n = -16 + 24. Suppose 4*u = 3*t - t - n, 5*u = 5*t - 20. Which is the second smallest value? (a) o (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*-1 - sqrt(66)\/(sqrt(6) + sqrt(24)\/sqrt(4) + sqrt(6)).\nAnswer: -28*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44606420.99903 - 44605867. Let x = 554 - w. What is x rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.5 + 6. Let y = -72\/17 + 525\/136. Which is the nearest to 0.1? (a) y (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 5. Suppose -5*p + 26 = s, -3*p + 25 = 2*s - 20. Let l be (-2)\/t - (-90)\/s. Let r(q) = q + 3. Give r(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 8*j + 8. Let g = -54 + 48. Calculate m(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 33, 2, 5, -1093 in descending order.\nAnswer: 33, 5, 2, -2, -1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 25*k - 291. Calculate w(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(5\/(-2))\/5. Let l(a) = a**2 + b*a + 2*a + 2*a. Let v be l(-5). Solve 1 = -x + v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + (10 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993041 is divided by 283?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -49*z. Let o be l(1). Let g(r) = r**2 + r + 3. Let x be g(8). Let n = x + o. Calculate the greatest common divisor of 39 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 48.85. Let m = 10.73 + -10.58. Let n = r + m. What is the third smallest value in -0.3, n, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*l - 35*l + 69*l)*(12099 + 512*l - 12099) to the form o + u*l**2 + i*l and give u.\nAnswer: -2048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:26 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 15, l: 3}. What is prob of picking 1 l and 1 n?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 1 = -5*v. Suppose -6*m = -v*m - 2. Solve -a - b + 3 = 0, -3*a + 5*a = 2*b - m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2377.\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + o**2 - o + 2. Let z be m(0). Suppose -z*p + 4 = -6. Calculate the highest common factor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6924.9602 + 6922. Let r = 0.0398 - z. Suppose -j - 20 = 4*j. Which is the nearest to -1? (a) j (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2445490 = -14*v - 2445532, -4*f - 124 = 4*v for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203741399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -41. Solve 0 = 4*d - s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7481 - 1359*p + 26*p**2 - 7481.\nAnswer: 26*p**2 - 1359*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -19. Put 3, -3, r in decreasing order.\nAnswer: r, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1251582976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-15))\/6*(-33)\/(-22)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-20))\/(2\/5). Calculate the remainder when (-381)\/(-12) - f\/12 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/((-10)\/5))\/3. Find the third derivative of t**3 + a*t**3 - 2*t**3 - 5*t**3 - 5*t**2 wrt t.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20755838, -41511689, -62267550, -83023421, -103779302, -124535193, -145291094?\n\"Answer: -5*o**2 - 20755836*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1705 and 198865?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2601.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-19)\/(342\/(-24)). Which is the nearest to 1? (a) -26 (b) 0.2 (c) -0.5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1, -1\/16, -17 in descending order.\nAnswer: 1, 1\/3, -1\/16, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-36)*21\/(-35)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2. Let r(f) = f + 25. Let h be r(-13). Suppose h*g = 17*g - 25. Let w(u) = -3*u - g*u - 25*u. Calculate w(a(k)).\nAnswer: 66*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 283541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5728859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56680 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1064 and 2128.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2594529 divided by 864843?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1093*t - 84. Is n(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 0 - 1 + 0. Let j(x) = -2*x**2 - x + 2. Let i(h) = h**2 - 4*h - 20. Let b be i(-3). Suppose -11*d + 12 = -21. What is b*j(c) + d*s(c)?\nAnswer: -2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**2 - f**2 + 13 + 7*f**2 to x*f + d*f**2 + z and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -876 - -898. Let f(m) = -3*m - 3. Let q be f(-13). Let s = q - 16. What is the smallest common multiple of s and g?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9416255*v**5 - 4*v**4 + 31772946*v**2 wrt v?\nAnswer: -564975300*v**2 - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 307989655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2344\/11720)\/((-14)\/(-50)))\/(3\/(21*5))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54110221 (base 8) in base 9?\nAnswer: 23685810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-16)\/42))\/(369\/492)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w + 336. Let t(z) = -177*z**2. Give f(t(c)).\nAnswer: -885*c**2 + 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 15) to base 11\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00625809447 to 4 decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 80 = -5*f - 16*m, 5*m = -2*f + 32. Suppose 2*u - f = -2*n, -9*n + 4*n = 3*u - 16. Solve -3*s - 6 = -u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 49 - (3 + 2 + -18)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f, -5*f = 3*t + 2*t. Suppose 3*g + 5*v - 28 = -t*v, 0 = 5*g + 4*v - 51. Find the second derivative of 3*m**3 + m - 7*m + g*m wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 + 73872*n + 24795904\/3.\nAnswer: 2*(n + 112)*(n + 110696)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*q = -15, -3*q = -177*x + 179*x + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w + 4. Let y(c) = -17*c - 9. Let a(d) = -5*p(d) - 2*y(d). Let f be 86\/(-18) + (-6)\/27. What is a(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-33)\/572*(-24)\/(-9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 d when three letters picked without replacement from wewdueddu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 324 = -12*l. Let w = 128 + l. Calculate the greatest common divisor of w and 640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1985874176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*a + 4. Let h(p) be the second derivative of -3\/50*p**5 - p - 1\/10*p**4 + 0*p**2 + a - 1\/15*p**3 - 1\/75*p**6. Factor h(b).\nAnswer: -2*b*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 0*q - q + 3 + 3. Let t be n(6). Let a = t - -6. Which is bigger: a or 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 94*m + 92 - 118*m + 0. Let k be g(11). What is k rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.088 and 41.5507.\nAnswer: -3.6564616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48.08418 - 63.084187. Let d = -20 + 35. Let n = f + d. What is n rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2845.88*0.8.\nAnswer: 2276.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihssisisiiihhshis. Give prob of picking 2 i and 1 h.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -f05a (base 16) in base 13?\nAnswer: -22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 5*t - 32. Give z(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + 0*s**4 - 9*s + 10*s + 4*s**2 + 1 + s**4 as t*s**3 + r*s + g*s**2 + y*s**4 + c and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -42, -100, -182, -288?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 370062135 a multiple of 1052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(242) + 2 - sqrt(2)).\nAnswer: 7 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 4. Let y = 212 - 208. Suppose 2*p = -3*t + 18, -3*p - t = -y*t + 3. Put n, 1, -2, p in decreasing order.\nAnswer: p, 1, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -96.477436 and -0.1.\nAnswer: 9.6477436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 1 - 6. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -6*t**4\/7 - 473658*t**3\/7 - 1335461814*t**2 - 9347759046*t\/7 = 0.\nAnswer: -39471, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7833 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 876, 1996, 3564?\nAnswer: 5580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in 1.1, 1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 3 - (-3 + -2)) + 14\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/5)*g)**(-8))**(-19\/2) assuming g is positive.\nAnswer: g**(152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 14.9. Let m = 10 - f. Let w = 0 - -0.1. What is the biggest value in m, w, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1034, -1053, -1084, -1133, -1206, -1309, -1448?\n\"Answer: -f**3 - 12*f - 1021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 7:34 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 5:53 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1134 or 6805\/6?\nAnswer: 6805\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/60 + d**4\/8 - 7*d**3\/3 + 24*d**2. Let b be j(-6). Solve 8 - b = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7809649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1944) - (sqrt(288)*4)\/sqrt(12))\/(sqrt(288) + sqrt(288) + 2*sqrt(288) + 6*sqrt(800)).\nAnswer: -11*sqrt(3)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1848*k*v**4 + 30917*k*v + 76509467*k wrt v.\nAnswer: -7392*k*v**3 + 30917*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76055 and 33157807?\nAnswer: 2173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8157355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from lwrclmy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.8 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -22?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 5*c + 3. Let f be o(5). Suppose -17 = s - 4*u, -4*s + 14 = -5*s + f*u. What is the smallest value in 4\/3, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -12*y**2 - y - 1. Let g be k(-1). Let f be 6\/g - (-1)\/2. Solve 0 = -3*o + 5*b - 10, 3*b - 4 - 11 = f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 64*p**2. Let x(z) = 0 + 1 - 24*z + 6 - 7. Calculate c(x(y)).\nAnswer: 36864*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 118. Let v = 142 + -28. Suppose w = p + 5*t, -p - p + 2*t + v = 0. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11936\/3*z - 3256\/9 - 10934*z**2 - 242\/9*z**3.\nAnswer: -2*(z + 407)*(11*z - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w*((w*w**(3\/5))\/w)\/w))*w)*w*w*w*w)\/w**(-21\/2) assuming w is positive.\nAnswer: w**(139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3816 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 24 = -4*o, -2*o + 2 = 3*m - 19 + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 21. Let r(j) = 203 - 65 - 67 + 2*j**2 - 67 + 5*j. Calculate r(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -170 - -28. Let u = -142.0107 - h. What is u rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -240827\nAnswer: 1685789","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-138)\/(-2070))\/((-4)\/18). Let n(t) = -4*t + 1. Let w be n(1). Which is the third biggest value? (a) d (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 7418110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q - q - 2*q)*(1 + 0 - 2)*(0*q**2 + q**4 + 0*q**2).\nAnswer: -5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2914830937 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x*x**1*x)\/x)\/x))**(-11\/3))**(17\/5) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by -1228?\nAnswer: 195\/1228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 160591.\nAnswer: -4\/160591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.44 and 0.21?\nAnswer: 0.3024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -7.8421?\nAnswer: -101.9473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32.93922l?\nAnswer: 32939.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30, 4, -12\/5, -3, 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.409 + 0.01.\nAnswer: 2.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/5 - 324*a\/5 - 13122\/5 = 0.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 15650 - 46920 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*a = -81*a - 8, 6*d - 26 = 2*a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 9:47 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/36 and 145\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 5, f: 3, b: 8}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1912 is divided by 635.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4809164 is divided by 200381.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*2*sqrt(500) - -6*(5 + sqrt(500)*-2))**2*-4*3.\nAnswer: -2413068 + 158400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 35*z**2 - 161*z + 197. Let v be y(39). Let q(i) = 2*i**3 + i**2 - 2*i + 1. Let s(d) = d**2. Let t(p) = -q(p) + 3*s(p). Calculate t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -40 + -5 + (1 + -4 - (-7 - -3)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -148*i + 10. Let c(z) = 49*z - 3. Suppose 0 = -86613*p + 86575*p - 608. Give p*c(b) - 5*v(b).\nAnswer: -44*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/68 or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*s + 46*s - 41*s)*(-2*s**3 + 2*s - 2*s + 2 - 2*s).\nAnswer: 36*s**4 + 36*s**2 - 36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 155, 124, 69, -22, -161, -360, -631?\n\"Answer: -2*l**3 - 17*l + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -235 and -108.2.\nAnswer: 25427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*d*s**3 - 4829*d*s**2 + d*s + 2*d + 6*s**5 + 3*s**2 + 9962*s - 224 wrt s?\nAnswer: 54*d*s - 9658*d + 120*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 276401292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j. Let s(c) be the first derivative of c**6\/120 - 2*c**3\/3 - 2. Let i(d) be the third derivative of s(d). Calculate h(i(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 22 = 5*z. Suppose -4*i + 5*d + 4 = -8, -3*i = 5*d - 44. Calculate the remainder when z is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o + 1651 = 5*c, 4*c - 3*o = 1325. What are the prime factors of c?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2. Let h be k(-1). Calculate the common denominator of 19 and (-34 + h)*(-6 + (-133)\/(-21)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 w, and 2 f when four letters picked without replacement from {j: 1, u: 1, c: 1, h: 1, w: 1, f: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 8*r. Suppose r*d = -2*d + 370. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - -2) + 0 + (-1082)\/492 and -38\/287?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 10*s**2 - s + 6. Calculate b(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 + 1837*o - 125598 = 0. What is o?\nAnswer: -1903, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 - 0.2. Suppose 5*d = -0*q + 3*q + 46, d = -3*q + 2. Suppose 2*i = 3*s + 11, d*i - 3*i = -s + 19. What is the closest to k in -3, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2368*g**2*o**3*p + 53*g**2*o*p**3 - 11*g**2*o*p + 1538*g*o**3*p**3 - 4*g*p**2 - 2*p**2 wrt p.\nAnswer: 318*g**2*o + 9228*g*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14))\/((-8)\/28).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.30002 - -0.297. Round i to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25840627.64 rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (12\/5)\/(8\/200)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4 + -6*sqrt(91)\/sqrt(7) + -1)*-5)**2.\nAnswer: -660*sqrt(13) + 11821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - h + 1. Let n(f) = -f**2 + 5*f + 3. Let w be ((-19)\/(-5) - 3)\/((-2)\/(-10)). Let u(p) = w*a(p) + 4*n(p). Solve u(k) = 0 for k.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - 1*sqrt(95)))*-2)\/(sqrt(25)\/(sqrt(5) + (sqrt(20)\/sqrt(4) + sqrt(5) - sqrt(5))) + sqrt(5)).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404*t + 21873 = 813 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccfrnnfff. Give prob of picking 2 n, 1 c, and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t - 8. What is the greatest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 5*y + 10. Let n be g(7). Let t = -1 - n. Let o = -14453\/2 - -7227. What is the second biggest value in -4, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**5\/90 + v**4\/6 - v**3 - 11*v**2\/2 - 6. Let u(o) be the second derivative of n(o). Determine m, given that u(m) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6801144 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m + 4*m + 3*m + 16 - m. Calculate the least common multiple of 2 and y(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 2 = p + 5*x, 4*x = p + 18. Is 12 a factor of -2 + 1 + (p - -1*460)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76578278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 148328633?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36.21 + 36. Let x = v + -0.99. Sort 0.4, 5, x in ascending order.\nAnswer: x, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 22. Suppose h - 5*v - 25 = 0, -g*h - 4*v - v - 25 = 0. Suppose -3*k + 5*k - 28200000 = h. Round k to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 55*q - 2609. What is the remainder when 3259 is divided by l(52)?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 1801013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6266.9978248 - -6267. What is m rounded to 4 decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 5*x - 19. Let d be s(-13). What is the highest common divisor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7827 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 145230 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - 50) + -31 + 100.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(15\/(-980)*1408\/(-528))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1)\/((1215786\/(-436))\/429)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -13*m**2 + 2*m + 1. Let q = 64 - 66. Let d be a(q). Let b = d - -69. Calculate the remainder when 41 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(4) - -1*sqrt(4))*-1)\/(sqrt(400)*-1 - (sqrt(400)*2 + sqrt(400))).\nAnswer: sqrt(11)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*w - 76*w - 3*w**3 + 69*w**4 + 4*w**3 to the form c*w + l*w**3 + p + d*w**4 + k*w**2 and give d.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l - 3. Let a be x(-4). Suppose 5*v = -5*p + 45, 5*p = -v - 0*p + a. Suppose v*j - j = 0. Solve j = -0*h - 3*h - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 4153422?\nAnswer: 4153418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.010387 - -0.01038722427. What is k rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbbzzbzbbbbbz. What is prob of sequence zz?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/5)*j\/j**(2\/7))\/(j**(2\/19)\/j**(-4))*(j**(-8)*j*j\/j**(-4)*j*j*j*j)\/(j**(-4\/3)\/j**(-3)) assuming j is positive.\nAnswer: j**(-7297\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8634 divided by 2?\nAnswer: 4317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*a**4 - 16*a + 16*a + (-4 + 4 + 2*a**2)*(a - a - a**2) + a**2 - a**2 - a**4.\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97 - 65*q**4 - 97 - 72*q**4 wrt q.\nAnswer: -548*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*z + 20, 3*z + 40 - 25 = 0. Let a = -36 + 37. Let j be (-3)\/(-3) + a + 2. Sort 7, b, j, -0.5 in ascending order.\nAnswer: -0.5, b, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115004 + 114999. Suppose 2*b = 6*b. Suppose 2*s = i + 8, 2*i = s + 4*i - 4. Put s, y, b, 1 in increasing order.\nAnswer: y, b, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (1 + 2)) + -11 + 29\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 358.68 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:07 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j**4\/3 + 2015*j**3\/3 + 247870*j**2\/3 + 362125*j\/3 - 204000 = 0. Calculate j.\nAnswer: -85, -5\/2, 1, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 63 - (-2 - 0 - 2). Let f = l + -13. What is the remainder when f is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a year?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 7) in base 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -3 (c) -3\/65 (d) 189\/16 (e) 0 (f) -1\/6 (g) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.077 or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 6*t + 4 = 0. Let v(o) = 4*o**2 + 3. What is the units digit of v(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170422231 and 7?\nAnswer: 170422231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (5 - 23) - (-1 - (0 - -42 - 2)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27982?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.87929? (a) -0.2 (b) 2\/37 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**3 - 68*z**2 + 41*z + 375. Give g(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7 + 90*q**2 + 6 + 72*q**2 - 3*q. Is l(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x**0\/x)\/x))*x)**(6\/11)\/(x**(2\/5)*x**4)*(x\/(x*x**(-2)\/x*x)*x*x**(2\/5))**26 assuming x is positive.\nAnswer: x**(918\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**7\/105 - y**6\/20 + y**5\/30 + y**4\/4 - 2*y**3\/3 - y**2. Let z(c) = 0. Calculate c.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36\/31 + 947\/279. Find the common denominator of 49\/9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0.15490176.\nAnswer: 1.15490176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7 + s**2 + 2*s**3 + 5*s**2 - s - s**3 - 4*s. Let n be p(-5). Let g = -16 + n. Solve -d - 1 = -2*d, -2*d + g = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77860.\nAnswer: 2, 5, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, 0.18, 16153?\nAnswer: 16153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -171 - -566. Suppose -4*t = -3*m + x, 0*t = 3*m + 5*t - 377. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*a + 3*a + 72 = 0, 2*a - 232 = -4*u. Let x = 11 + -9. Let j be -40*-2*x\/8. What is the highest common factor of u and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208987315 to the power of 1\/2, to the nearest integer?\nAnswer: 14456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*g = -50*g - 68. Let w(a) = 29*a - 106. Let l be w(g). What is the highest common divisor of 80 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.6 - 7.6. Let o = -266.06 + 264.06. Put 0.4, n, o in increasing order.\nAnswer: n, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -274 divided by -2\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**2 - 47*k + 164. Let p be m(32). What is p rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2. Let b(i) = 5*i - 28. Let y be b(6). Let w(d) = 13*d**2 + 3*d + 12*d**2 - 3*d - 9*d**y. Determine x(w(r)).\nAnswer: 256*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2894*w**2 + 34733*w + 53. What is c(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*u - 93, -4*p + 201*u - 197*u + 444 = 0. What is the highest common divisor of 456 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1474 take away 840.053155?\nAnswer: -2314.053155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 240986984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uffuuuufgfu. Give prob of sequence ufg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/2 + 5. Let p = 116 - 578\/5. Which is the smallest value? (a) -2\/5 (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54*(-3)\/(-12)*4\/(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 - -74. Let l = 53 + a. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - 0 - ((1 - 1253) + -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -36 from 211.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 48 + 9. Let c(b) = b**2 + 319*b + 19540. What is the remainder when c(-82) is divided by x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at least as big as -7511448\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 888*d - 3539 = 1447 + 2118 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1140226 (base 8) to base 5.\nAnswer: -34431241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1671.69 rounded to the nearest 10?\nAnswer: -1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + 3*v**4 - 3*v**4 + (2 + 2 - 6)*(8*v**5 + 0*v**3 + 0*v**3).\nAnswer: -17*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/33)\/((-37)\/(62271\/(-51)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -cdd17 (base 16) to base 5\nAnswer: -203434111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 274796.\nAnswer: 3\/137398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 792 + -416. Suppose 10*z - 14*z = -l. What is the highest common factor of 47 and z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 9:36 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266 - -426. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(0 - 4 + 2)*(0 + 0 + 6)*(i + 2*i - i).\nAnswer: 48*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 656349.2.\nAnswer: -2625396.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m + 7. Calculate f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 2 + 3 - 4 + 58*i**2 + 4.\nAnswer: 58*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3.1. Let x = a + 2.9. Let v = -3.00006 + x. Round v to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - -1 - 41\/((-2706)\/(-528)). What is y in 5\/8*y**2 + 1\/4*y + i - 1\/8*y**5 - 1\/8*y**4 + 3\/8*y**3 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19539284 times 0.3\nAnswer: 0.058617852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256337?\nAnswer: 256337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-15) - 136\/(-5). Solve -w = -12*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = 695 + 19, -2*y - 3*h = 360 - 54 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h - 4*f = -19*h + 12, h + 4*f = -12. What is the closest to h in -1.2, -5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-4) + (-10241)\/2156?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**14*z))**(-31)*(z**(-3\/8))**(-16) assuming z is positive.\nAnswer: z**440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 7*u**4\/26 - 4*u**3\/39 - 1. Determine h so that b(h) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) 0 (c) 0.1 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, and 1 h when three letters picked without replacement from {j: 1, c: 4, e: 2, h: 8}.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooyooooy. What is prob of sequence ooo?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 12 + 13. Let p(d) = -2*d + 11. Let i be p(k). Does 23 divide ((120 - 3) + -2)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 8:47 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -16*g - 15. Determine t(3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107814 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4824*q**2 + 14*q - 4828*q**2 + 7*q - 8*q.\nAnswer: -4*q**2 + 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**4\/24 + 5*m**3\/6 - m**2. Let u = 3306 - 3302. Calculate o(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05834757 rounded to 3 dps?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + -6*((sqrt(2448) + 4*sqrt(2448) + 2)**2 + sqrt(2448)) + 1 + 0.\nAnswer: -367220 - 1512*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3632903077 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2995 + 8983\/3. Is o smaller than -1684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9739 is divided by 232?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**0\/v)*v)**(-2\/43)\/(v\/(v*(v*v**(2\/3))\/v))**(-19) assuming v is positive.\nAnswer: v**(-1652\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l + 11*l + 11*l)*(2 - l**3 - 2 + (-l**2 - l**2 + 3*l**2)*(-4 + 4 + 2*l)).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02224 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 128*z**2 + 2*z**3 - z**3 - 38*z**2 - z + 25 - 270*z**2 as c*z + q*z**3 + h + o*z**2 and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (128\/120)\/(-8) - 10084\/(-30) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/h)**(-4\/5)*(h**(2\/7)*h)**(-6\/7) assuming h is positive.\nAnswer: h**(906\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 3*k**2 - 2*k + 2. Let v be n(3). Let x(i) = 6 + 1 - 7 - 5 - 3*i. What are the prime factors of x(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -a - 49. Let r = 183 + a. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s - 1. Let h be p(1). Suppose 11*y - 144 = -5*y. What is the remainder when (-6)\/h*80\/6 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l - 4*l**3 + 22*l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -309*a**2*j**2 + 74*a*j + 3*a - 2*j**2 wrt a?\nAnswer: -618*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -20)*(-40)\/((-7000)\/45)\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5660.151ug in tonnes?\nAnswer: 0.000000005660151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/84960 and -187\/2636592?\nAnswer: 79097760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 36 - 21 = 5*z, -20 = -z + 4*u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*(-1*sqrt(605) + sqrt(605))*1 - -6*(sqrt(605) + 1)*-1) + 3)**2.\nAnswer: 2376*sqrt(5) + 87201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, s: 8}. Give prob of picking 2 a.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -29f6 (base 16) to base 15\nAnswer: -32b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 4*q**2 - 5*q. Let o be r(5). Let l be ((-90)\/70)\/(3\/(-7)). Which is the nearest to o? (a) 6 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c + 4. Let i(l) = -l**2 + 15*l - 54. Let r be i(6). Factor 3\/2 - 3*n**c + r*n**3 + 3\/2*n**4 + 0*n.\nAnswer: 3*(n - 1)**2*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 0*r**2 + 4 - 4*r**2 + 3*r - r. Let v(h) = -23*h**2 + 11*h + 23. Suppose 26 = 2*s - a - a, 62 = 5*s - 4*a. Let u = 44 - s. Determine u*m(g) - 6*v(g).\nAnswer: 2*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8125 - -14106. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -610 + 1?\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -263 - 4?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2701 divide 111440559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6832 = 21*w - 35*w. What is the highest common divisor of 61 and w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9*1\/(-4))\/((-3087)\/(-17150)*-25)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8357.99 - 8360.5309453. Let d = t + 65.54093. Let v = d - 63. Round v to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5 + 2.7. Let f(t) = t. Let z be f(1). Let s be z\/(-2) - 10\/(-8). Which is the nearest to 1? (a) s (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**8\/336 - b**5\/60 + b**2 + 5*b. Let t(p) be the first derivative of l(p). What is the third derivative of t(f) wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -853 divided by -100?\nAnswer: 853\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b + 8. Let i(s) = -1. Let h(d) = -2*c(d) - 18*i(d). Let y be h(-2). Let a = -2 - y. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21970 + 38250. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(16) + -2*sqrt(16))\/((sqrt(162) + (sqrt(162) - 1*sqrt(162)) + sqrt(162) - sqrt(162) - sqrt(162)) + sqrt(162))*2)**2.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {y: 2, j: 1, a: 1, k: 1, p: 1, q: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001416617005 rounded to six decimal places?\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298*j + 301*j = -2544. Let k = j + 1921. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*i + 42. Let j = i - -21. Suppose -2*v + 62 = 22. Calculate the greatest common factor of v and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5864.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11.6+-0.58\nAnswer: -12.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 405 divided by 3\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 162*b - 157*b - 4*r + 18, 3*r = -5*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 696?\nAnswer: 695.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (270\/9)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 4*l**2 - 3*l - 9. Let y(j) be the third derivative of 5*j**4\/12 - 25*j**3\/6 + 240*j**2. Let z be y(3). Determine m(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - -1.4. What is the smallest value in -2, v, 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5515325 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6)*8*12\/(-16). Solve 2*g + 18 = i*z, z = 5*g + 14 + 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 52 = 4*q. Let c(k) be the second derivative of -k**5\/20 + 7*k**4\/6 - 7*k**3\/6 + 11*k**2\/2 + 2*k. Is c(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 - 276500*i + 76452250000.\nAnswer: (i - 553000)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.2, 6, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31441 + 9449. Let a = h - -439729\/20. Find the common denominator of 206\/(-40) + (-4)\/(-2) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1272694245 to the nearest 100000.\nAnswer: 1272700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 5*p = -6*i - 37, -50 = -10*p. Let r be (-1 + (-6)\/4)*-2. Suppose r*q + 1 + 1 = -4*z, -5*q = z + 8. Solve z*k = -h + 2 + 3, i*h - 7 = -4*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80303 + -5\nAnswer: -80308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -799?\nAnswer: 6\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 347528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l - 5. Let o(m) = -m + 1. Let s(y) = -5*o(y) - x(y). Let d(r) = 33*r. What is s(d(q))?\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**4 - 2478708*x**3 - 12393452*x**2 - 7436028*x + 22308192 = 0.\nAnswer: -619672, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31918180 divided by 28\nAnswer: -1139935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 + 0.03. Let d = -0.58 + 0.5. Let n = d - v. What is the nearest to 0.1 in 2\/11, n, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2259.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 0*g**3 - g**3 + 5*g**3 - 12*g**2 + 12*g**2 + (-1 - 2*g + 1)*(-g + g - 2*g**2).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3.1 (b) 2 (c) 10 (d) -6\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 - (185 + -188)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6390236 rounded to three decimal places?\nAnswer: -0.639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:30 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120083432 to the power of 1\/2, to the nearest integer?\nAnswer: 10958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 + -4 - -1) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 3*t + 1. Let o be w(-5). What is the common denominator of 116\/(-6) + o\/(-3) and -121\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10 (b) -0.3 (c) 0 (d) 244 (e) 0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1172.0898s?\nAnswer: 19.53483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -82, -457, -1090, -1969, -3082, -4417, -5962, -7705?\n\"Answer: 2*s**3 - 141*s**2 + 34*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 25. Let j = 11 + r. Let l be (0 + 0)\/(-1) + 5. What is the highest common divisor of l and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354657356 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 50*n**2 + 58*n + 185. Calculate k(49).\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -2*g. Let a(n) be the third derivative of -2\/9*n**3 - 1\/180*n**6 + 1\/45*n**5 + 0 - n**2 + g*n + 1\/36*n**4. Determine s so that a(s) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Let d = u - -13. Suppose -3*g + d = -c, c - 28 = -4*g - 2. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16033335, -16033338, -16033341, -16033344, -16033347, -16033350?\n\"Answer: -3*m - 16033332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -134230 divided by -5\nAnswer: 26846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (882\/(-490))\/(9\/(-15)). Let s(y) be the second derivative of 0 + 9\/5*y**5 + 0*y**f + 25\/2*y**2 + 5*y + 0*y**4. Differentiate s(h) wrt h.\nAnswer: 108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.408163\nAnswer: -1.224489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*t + 959, 4*a = 11*t - 2530 + 433. Calculate the remainder when 2097 is divided by t.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-2) - ((-5322)\/1278 + -3). Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 7*m**2 - 2*m. Let x(v) = -101*v + 188*v - 93*v. Give p(x(k)).\nAnswer: -252*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 125280 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3)*(2*s + 2*s + 2*s)*(-13*s - 6*s - s)*(-4 + 2 + 0)*(1 - 1 - 1)*(6 - 3 - 1) as a + i*s**2 + b*s and give i.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 4:10 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 5*t**2 + 0*t**2. Let q(i) = 11*i**2. Let k = 28 - 36. Determine k*a(v) - 5*q(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -722 + 1232. Suppose -4*g + 423 = -j, 5*g = -0*g - 5*j + z. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onpc when four letters picked without replacement from {f: 4, p: 2, c: 1, o: 3, h: 8, n: 2}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.055, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*l - 248 + 27 - 382 = 0. Solve 13*u + l = 16*u + 5*n, 3*u = 2*n - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/29031162 and 47\/8283.\nAnswer: 319342782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 30. Let z be v(0). Let c = 83 + z. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4180 and -0.015.\nAnswer: -4180.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191 + 92 + 62 - 3*l)*(173*l**4 + 136*l**4 - 70*l**4).\nAnswer: -717*l**5 - 8843*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*m - 6210 = -196*m + 1824 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/7? (a) -6\/11 (b) -2\/11 (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27029, -27030, -27031, -27032, -27033, -27034?\n\"Answer: -l - 27028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -153 * 30.8\nAnswer: -4712.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.7 + -29.8. What is the nearest to -0.2 in y, -2, 2\/3, 6\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 1 - (-23 - 2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 280755*v - 2.\nAnswer: 280755*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 720\/55 + (-54 - -42)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557883?\nAnswer: 1557883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16754, -3 in ascending order.\nAnswer: -3, -2, 16754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6552211.880443 - 6552207. Let h = 4.88 - t. What is h rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {n: 3, c: 3, g: 2, d: 1, v: 2, e: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + p**2 - 3*p**2)*(-2*p**2 + 3 - 3)*(0 + 3*p + 0).\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -19?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -196\/9 at most as big as -0.086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50473368 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/14*4900\/200. Solve 0 = 4*i + 5*g - s, 2*g + 3 = 3*i - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 + 210?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 1817 = 30*d + 40*d - d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 53a234 (base 14) to base 16\nAnswer: 2b3776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/27 - -3*15\/((-3240)\/1232)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1371)\/(-27) - 2\/(-9). Suppose -2*y + 13 = -3*r, -r = y - 1 - 3. Suppose 9 = y*h - j. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22968 = -911*s - 365*s for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32 - -2)*4\/8. Calculate the greatest common divisor of 136 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/30*(-1)\/(2\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihhiehhhihihh. What is prob of picking 1 e and 2 i?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - j**2 + 3*j + 5. Let h be i(-6). Let x = h + -832\/5. Is x equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1183231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -34140\/13 (b) -1\/2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16536590 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*x - 19. Suppose -x = -g + 7. Let m = 34 - g. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*j - 165 = 57*j + 54*j + 7*g, -j = 4*g + g + 204 - 88 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -66*r + 17. Let v be y(-11). Let k = v - 504. List the prime factors of k.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = 4. Which is the smallest value? (a) 1\/3 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16073 + 16072.6. What is the second smallest value in x, 62, 0.2, 5, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*((a*(a*a**17\/a)\/a)\/a)\/a*a*a*a**30\/a*a*a assuming a is positive.\nAnswer: a**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-6)*((-13 - -7) + 3). Let p be (-468)\/((1\/i)\/((-11)\/66)). Suppose -5*x = -9*x + p. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435*v + 2*v**2 + 3*v**2 - 347*v.\nAnswer: 5*v**2 + 88*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/435*(-3)\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2551 - -2557. Calculate the highest common factor of 186 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5775 or 5118?\nAnswer: 5118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 71051216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*l**2 + (-9*l - 4*l + 4*l)*(5*l + 11*l - 5*l).\nAnswer: -97*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20 + (-192)\/168 - 1\/(-7). Solve -t = -a - 23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004661 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, -3\/5, 2\/9, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 7) to base 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182573157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6078 = 4*x + 7734. Let s be x\/(-63) - 1\/7. Let d = s + -53. Which is greater: -4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1059894*f**5 + 4*f**3 - 38749*f**2 + 597*f - 1 wrt f?\nAnswer: 63593640*f**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 11:17 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3968?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgb when three letters picked without replacement from {o: 4, g: 1, b: 3, k: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -987*c + 568. What is the tens digit of g(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3\/10*s**3 + 2\/5*s - 11\/10*s**2 = 0. What is s?\nAnswer: -4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 2:30 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -987*h**2 + 3948*h - 2. Let m be r(4). Let v(k) = -k**3 - 6*k**2. Let q(i) = -4*i**2 - 6*i**3 - 18*i**2 - 14*i**2 + 6*i**2. Give m*q(b) + 11*v(b).\nAnswer: b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2.2. Let l be 2\/3 + (-6)\/15. Let j = -3\/5 + l. Which is bigger: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 179*y**2 - 1866*y - 4500. Calculate u(189).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = u + 3, -4*p + 4*u + 15 = u. Suppose -p = 3*r - 3, 3*r = 5*z - 78. Calculate the remainder when 28 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2156 + 275 = 3*s. Round s to the nearest ten.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2759*g - 15855. Give m(-7).\nAnswer: 3458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 8 - (-1 + 7 - 14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -26. Does 5 divide 82\/l*(-39)\/(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-4)*1)\/((-40)\/10)*-42*1?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5940978 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 264?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 3*y**2 - 4*y + 3. Suppose 0 = -12*n - 24 + 72. Let v be s(n). Suppose -5*j + 230 + 170 = 3*i, -v*j - 138 = -i. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -1413?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2)*(-7)\/196*-6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1.3?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/9229 and -91\/1087344?\nAnswer: 11960784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -233.8 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -444 - -3102\/7. Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22010001010001 (base 3) to base 16\nAnswer: 41c95c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.9 - 22. What is the third smallest value in -4, -12, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -965 - 785*x - 7934*x + 480 - 1843*x + 489.\nAnswer: -10562*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16506650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 3044.\nAnswer: 57836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/16 and 5\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -23790.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 0) + 64\/34. Let u(t) = t**2 + 9*t + 7. Let y be u(-8). Let m = -2.3 + 2. What is the second biggest value in b, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewu when three letters picked without replacement from {u: 1, f: 2, e: 2, h: 1, w: 4, x: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (17 - -1) + (-9 - -7). Suppose 0 = z*x - 15*x + 4. Is x\/18 - 1390\/(-18) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 9:58 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5775, 5911, 6053, 6207, 6379, 6575?\nAnswer: 6801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -222 - -231 - (-1 + -6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 3. Let m be w(-4). Let d = m + -11. Let t = -2 - d. Solve t*l = -4*n - 0*l + 22, 0 = 3*n - 4*l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3))**(-1)\/(t**(2\/11)\/t**(1\/2)))\/(t**(-1\/5)*(t\/t**(-4))\/t*t)**43 assuming t is positive.\nAnswer: t**(-68117\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1*3\/(-1)*(-33)\/(2178\/(-88))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137429.99 + -17.1683.\nAnswer: 137412.8217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 46, 74, 106?\n\"Answer: 2*j**2 + 18*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58658 rounded to three decimal places?\nAnswer: -0.587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -523.4 + 523.22. Is -1\/2 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*p + 24 = 3*x, -3*p = x - 37. Let q = x - 15. Let l(s) = 7 + 209*s - 406*s + 192*s. Let i(y) = 3*y - 5. What is q*i(m) + 5*l(m)?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 18*k**2 + 13*k + 20. Let g = 11 - 10. Let x = -20 + g. List the prime factors of f(x).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.2 (c) -329\/3 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-seven quarters of a microgram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 89663*f**2 - 1883296*f - 6098512.\nAnswer: (f - 89684)*(f + 4)*(f + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.748734 - -8.75. Round l to five dps.\nAnswer: 0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0227 and 0.03.\nAnswer: -0.000681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/((-4)\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from ufuufjfufujuj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26594101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -155355\nAnswer: -31071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13139?\nAnswer: 7, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 2:18 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1383, -7, -16 in descending order.\nAnswer: 1383, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.76, -11\/8, 1 in ascending order.\nAnswer: -11\/8, 1, 1.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v**3 + 248*v**2 + 636*v + 184 = 0 for v.\nAnswer: -2, -1\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 5:50 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**37*(b\/(b**(-2\/3)\/b)*b*b)**(-3\/37))\/(b**(-5\/4)\/(((b\/(b*b**(-8)*b))\/b)\/b))**37 assuming b is positive.\nAnswer: b**(34169\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1.5. Which is the nearest to 0.1? (a) 4\/5 (b) -1\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + c + 22 = 0, -5*c + c + 4 = -3*o. Let k be 10 + o - 378\/3. Do k and -120 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 324114 - -40242?\nAnswer: 414411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 13 = 2*g + 47, 3*g - 3 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25.302 + 128.065. Round m to the nearest integer.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a. Let i(f) = 30*f - 1. Let c(w) = -w + 1. Let k(g) = c(g) + i(g). Give x(k(q)).\nAnswer: 58*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -1 + 1\/2*u**2 + 0*u. Let t(i) be the third derivative of -i**5\/30 + 5*i**2. What is r(t(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from dnnbbdbbdbdbrvbd?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 507487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -3*z - 12, 181313*q + 3*z + 12 = 181317*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91208154.\nAnswer: 2, 3, 1499, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g + 8. What is the remainder when a(-2) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 56 = 4*a, 3*a + 80*o = 85*o + 25. Calculate the remainder when 1947 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, a: 3, c: 8, n: 2}. What is prob of picking 2 n and 1 c?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13\/3)*m*((m**(2\/11)\/m)\/m)\/m)\/(m*m**(-2))**(-34) assuming m is positive.\nAnswer: m**(-1325\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.508055 plus 213.052?\nAnswer: 215.560055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18 - -10)\/(-112))\/((-2)\/(-344))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 14\/(-1 - -3). Solve 4*l + 4*o - 5*o - 13 = 0, w*l - o = 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/4512 and -11\/564.\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.219 - 3.419. Are 856 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -40?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11373661 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 71.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 44. Suppose -n*k - 18 = -10*k. Let q = k + -11. Solve 5*u = 3*f - 12, f = -2*u - 0*f - q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*x - 2*x. Suppose -x*y = 5 + 21. Let k = y + 22. Calculate the remainder when 16 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -78, -81, -84?\n\"Answer: -3*z - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -k + 2*q, 4*k + 3*q - 152 = 4*q. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, n: 1, a: 5, l: 2, x: 2, t: 2}. Give prob of sequence tnt.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzc when three letters picked without replacement from {c: 1, z: 1, a: 1, h: 1, m: 5}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2. Let b(q) = -128633*q**2 - q + 27. What is b(i(g))?\nAnswer: -514532*g**4 + 2*g**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20 from -788.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -0.65 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**16*h**(9\/4) assuming h is positive.\nAnswer: h**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/n)**(-2\/5)\/((n\/(n*n**(-3)*n)*n*n)\/(n**(-1)*n)) assuming n is positive.\nAnswer: n**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8901?\nAnswer: 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030874184 rounded to five dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 5*c + 20408 - 20385 = 0, -4*c - 34 = -5*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v + 29. Let j = 1839 - 1830. Give m(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)*m*m*m*m*m**(-2\/3)*m*m*m*m)\/(m**(-1\/7)\/m**(5\/2))*m**(2\/13)*m**2*m**(2\/13)*m**(-1\/8) assuming m is positive.\nAnswer: m**(11267\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 177 + -143. Suppose 3*d + s = 43. Solve d - 7 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 123*c**2 + 11)*(2*c - 4 + 4)*(c - 2*c - c) in the form g*c + r + x*c**4 + a*c**3 + d*c**2 and give x.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + 44. Let q = -124 + j. Let f = q + 62.7. Which is the smallest value? (a) 4\/7 (b) f (c) 3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2. Let w(m) be the second derivative of -17*m**4\/12 - 2*m. What is w(f(o))?\nAnswer: -153*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) 0.11 (c) 4 (d) 6476 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*11\/44*4\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -10 - 2*z + 2*z**2 + 3 - z**2. Let a be m(6). Suppose 0 = -2*y + a + 1. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odd when three letters picked without replacement from {f: 5, o: 2, d: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*o**2*s**3 - 2*o**2*s**2 - 2*o*s + s**3 + 223 wrt o.\nAnswer: 42*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 - 203. Let f = k + 116. Sort f, 0.3, -5, 1\/9 in ascending order.\nAnswer: -5, 1\/9, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.04, -3, -4\/7, 16.19?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b = -2*x + 14*b + 6, 0 = -2*b - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 2011?\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(0 + (-6)\/(-328)). Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - v**2 + 2*v - 1. Let a(c) = 39*c**3 - 2*c**2 + 17*c - 7. Let y(j) = -a(j) + 5*i(j). Is y(-2) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70317 and 351.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 1. Let x be (-5)\/25 - 154\/55. Let o(y) = -2*y**3 - 3*y + 16. What is x*h(v) + o(v)?\nAnswer: -2*v**3 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2296*h - 111*h**2 + 47*h**2 - 1151*h + 45*h**2 - 1145*h.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -82940.26?\nAnswer: 82940.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5724, -7600, -9474, -11346, -13216, -15084, -16950?\nAnswer: -18814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 + 3 - 3 + (-14*x + 2*x - x)*(x**4 - 4*x + 4*x) - 3*x**5 + x**5 + 4*x**5.\nAnswer: -14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 76*f - 987. Let z be a(59). Let y(r) = 86*r - 26. Let q(p) = 17*p - 5. Determine z*q(w) - 3*y(w).\nAnswer: 14*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-12)\/158) - 6\/12. Let n = m + -28. Suppose n = z - 4. Calculate the greatest common divisor of z and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5299990 = -2*w, 4*o + 2*w + 6357643 = 2117653. Round o to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -172, -144, -94, -16, 96?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2248 and 12?\nAnswer: 6744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 29*x**2 + 80*x - 511. Give j(31).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*265\/(-159)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 136182+2923\nAnswer: 139105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/5 + 2 - -2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f. Let k(n) = 3 + 1 + n - 2*n + 5. What is the units digit of k(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**7\/1890 + l**6\/270 - 3*l**4\/4 + 23*l. Let o(i) be the third derivative of d(i). Determine n so that o(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1.432 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/13 or 3\/35?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -86, -197, -326, -479, -662?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -75, -2 in ascending order.\nAnswer: -75, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763565 is divided by 254501?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d. Let a(z) = -702607*z**2 - 2*z. Calculate a(i(m)).\nAnswer: -702607*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -292.6 to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -r - 3, -11 = 4*r + s + 1. Let g be 2\/r*((-4 - -4) + -12). Solve -g*a - 5*n + 32 = -4*a, -a + 2*n = 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 172*g**4 + g**2 - 625*g - 1. Let b(q) = -q**4 + q**3 + q**2 + 4*q - 1. Let y(u) = b(u) - r(u). Find the second derivative of y(j) wrt j.\nAnswer: -2076*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -20*m**2. Let n(c) = 8*c**2 + 37 - 11 - 26. What is p(n(d))?\nAnswer: -1280*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -200293 + -18472.76\nAnswer: -218765.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 109651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -473 - -2367\/5. Put -0.1, -5, 36, a in descending order.\nAnswer: 36, a, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10172 and 36?\nAnswer: 91548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.848 + -2.358. What is f rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 10. Let o be (w + -1)*4\/(-10). Let q be 30\/(-18)*(-6)\/2. Sort -3, o, q in decreasing order.\nAnswer: q, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361, -295, -243, -211, -205, -231?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0595306 rounded to three dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (586\/(-5))\/((-32)\/80) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429167, -429591, -430015, -430439?\nAnswer: -430863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -394, -390, -386, -382?\n\"Answer: 4*n - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -36197, 8\/11, -8, -4?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/1)\/(-4))\/((-26)\/208)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/4 + 137*h**2\/8 + 83*h\/2 + 33\/2 = 0. What is h?\nAnswer: -66, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 6*k - 22. Let d be m(8). Let l be 2 - (-3)\/(d\/8). Let s = 2 + l. Solve 2*b + s = 4, 0 = t + b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 2*d - 145. Suppose 2*t + 0*t + 2*w - d = 0, -3*w - 168 = -3*t. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3542248 divided by -8?\nAnswer: 442781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148*r + 4831 - 4831 + 4*r - 3*r - 2*r + 1 + r - 1 + (r + 4*r - 6*r)*(-1 + 1 - 1) - 3*r - 2*r + 6*r)*(-3*r - 5*r - 4*r).\nAnswer: -1800*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -450*b - 897\/2 - 3\/2*b**2.\nAnswer: -3*(b + 1)*(b + 299)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 349*r**2 - 14*r - 20. Let x be u(-2). What is the highest common divisor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51867.06 millimeters in meters?\nAnswer: 51.86706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 917779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 85187 = -25*l + 28*l, -5 = -5*m. Is l a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, l: 7, n: 1, h: 5}. What is prob of picking 3 l and 1 a?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 16*s**2 - 16*s - 15. Let z be c(17). Find the third derivative of -6*t**z + 15*t**2 + 0*t**4 + 3*t**4 wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1092 = -823. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -353 - 2031?\nAnswer: -2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -481, -904, -1337, -1780?\nAnswer: -2233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 4 - 1)*(1963*o + 1977*o - 3955*o) + o + 0 + 0 to the form i*o + j and give i.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 41 - 17 = 0. Let l be ((-6)\/t)\/((-72)\/(-96)). Solve -4*i = i + 5*y + 40, -l*y = -5*i - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvh when three letters picked without replacement from {x: 4, h: 11, b: 1, z: 1, j: 2, v: 1}?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*w = 483*w + 1253*w - 54327 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.205 - 0.269. Let i = w + 0.06339. What is i rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(16)\/sqrt(4)))\/sqrt(2).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 67 = 4*m + 116, 6 = 2*s. Let i = m - -29. Which is greater: i or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l**2 - 1233*l - 3. Let y be m(137). Let b(q) = -7*q**2 - 8*q - 4. Let t(s) = -6*s**2 - 8*s - 3. Give y*b(h) + 4*t(h).\nAnswer: -3*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = -0*f. Let l be 0*(-1)\/(f*1). Let w(o) = l*o**2 - 4*o**2 + 2*o**2. Let z(d) = d**2. What is w(z(h))?\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*q + 2 + (-4 + 3 + 3)*(4*q - q - 2*q) + 12879*q - 6884*q - 7980*q.\nAnswer: -1981*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 71998463 not equal to 71998463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-2) - -2)\/(-1))\/(164 + -155)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -93, 897 in ascending order.\nAnswer: -93, -3, 5, 897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 1058*z**2 + 23736*z + 133128 = 0.\nAnswer: -258\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5888106 micrometers in nanometers?\nAnswer: 588.8106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 105*q**2 - 12*q + 34. What are the prime factors of z(3)?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**2 - j. Let n(l) = -2*l**3 + 34*l**2 + l + 1. What is 2*c(q) + n(q)?\nAnswer: -2*q**3 + 26*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/5)*z*z\/((z*z**(-2\/11))\/z*z))**6\/(z**(-14)\/(z**(-2\/15)\/(z**(-3\/7)\/z))) assuming z is positive.\nAnswer: z**(35558\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2523, 1\/4, 1, -7, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 2*m**2 - 3*m - 1. Let y be g(-2). Let z = -8338 + 8333. Let u = 0.4 + 0.1. Which is the nearest to z? (a) u (b) 1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(3*u + 0 + 5*u + 2) to the form j + m*u and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4458340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. What is the lowest common multiple of 18 and 20\/u*(-36)\/(-45)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/10 and (-62)\/6 + (9 - 7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4\/9 (b) 21 (c) -0.08 (d) 9\/4 (e) -5 (f) 0.11 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3492\/(-24))\/((-3)\/4). Suppose 191*v + 207 = g*v. List the prime factors of v.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3699609, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 27 - 71 - 13*o**2.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 + 30 + -12)*323\/3. Let t = -779 + 385. Let o = w + t. Does 42 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 - 26*x**2 - 64*x - 43. Give w(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 w when three letters picked without replacement from ownnwnn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:06 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12502 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3582, 3447, 3298, 3129, 2934, 2707, 2442?\n\"Answer: -c**3 - c**2 - 125*c + 3709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = -6. Suppose -2 = -l*u + 2. Solve 0 = -4*p - 4*j - 4, 0 = -3*p - u*j - 6 - 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 1\/6*w**4 - 6*w + 0 - 1\/6*w**3 + 0*w**2 - 1\/20*w**5. Factor d(f).\nAnswer: -f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(5)*-1)**2*5.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -195*c + 7. Is z(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u - 1. Let i be s(-3). Suppose 78 = i*t + 18. Solve 4*r + 3*b + 16 = 0, -4*r - t = -2*b + 4*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 233 + -164. Let s = -62 + v. Is 1462\/4*(5 + -10 + s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 230\/3. Let u = -0.2 + 0.4. Sort g, 2\/5, u in ascending order.\nAnswer: g, u, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Suppose -q = 3*q + 3*x - 100, 0 = -2*q + 2*x + 50. Suppose -8 = q*g - 29*g. Let r(n) = -5*n - g*n - n + n. Determine m(r(j)).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 4 (b) -3\/70 (c) 107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - i + 1. Let w(r) = -7*r**3 + 2*r**2 + r + 1. Let g be 72\/144 + 1\/2. Calculate g*w(h) + n(h).\nAnswer: -8*h**3 + 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49030*c*l**3 + 1869145*c*l - 41*l**3 wrt l?\nAnswer: 294180*c*l - 246*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96234 and 774.\nAnswer: 288702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -27*u**7\/70 - 3*u**6\/5 + 23*u**5\/20 + 3*u**4 + 2*u**3 - 2*u**2. Suppose q(p) = 0. What is p?\nAnswer: -1, -2\/3, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/5)\/((-6)\/(-2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at most as big as -11402\/1033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -37*f - 2*f. Solve f = 4*j - 3*x + 7, -2*j + 4*x = 5 + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -532, -1557, -2586, -3619?\n\"Answer: -2*y**2 - 1019*y + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 2*h - 1. Suppose 4*u - 6 = -2. What is n(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 37 + 12. Let p = 28 - q. Suppose -27 = -x + p. Solve 0*v + x = -5*v - 5*f, -8 = v + 2*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27149896\/7 or 3878557?\nAnswer: 27149896\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 4*a**2 - 5*a + 1. Let u(x) = -x**3 + 5*x**2 - 5*x + 1. What is 5*f(l) - 4*u(l)?\nAnswer: 9*l**3 - 5*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000000010010101100 (base 2) in base 10?\nAnswer: -1574060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/59 (b) -5\/8 (c) -0.65 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*x**3 + 22*x**3 + 39*x**3 + (2 + 3 - 3)*(-5 + 1 + 1)*(-6 + 6 - 4*x)*(3*x - x**2 - 3*x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1546*f**2 + 1772*f**2 + 1554*f**2 - 6427*f**2 + 1552*f**2 + 3.\nAnswer: -3*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/45)\/(16\/288). Let 0*z + 12\/7*z**q + 6\/7*z**2 - 3\/7*z**5 - 15\/7*z**3 + 0 = 0. What is z?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s + 210. Let u = 25 + -44. Let g be h(u). Calculate the highest common factor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1712756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 636*x**3 - 347*x**2\/2 - 796. Find the second derivative of f(z) wrt z.\nAnswer: 3816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = 3*z - 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2888*y**2 + 2906*y**2 - 5783*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28392 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112020 + 2022122001120?\nAnswer: 2022122120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/4 and (-10 - -9)*6 + 21944\/3792.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 4598.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1 - g**2 - 6 - 6. Suppose 2*w = -18*u + 23*u - 71, 0 = -5*u - 4*w + 53. Suppose 7*d = u*d. Give c(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49937 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*m + 28*m + 21. Suppose 70 = 4*f + 2*q, -3*f - 4*q + m = -58. Let -129*i - 20*i**4 + 129*i - f*i**3 + 3*i**2 + 2*i**2 = 0. What is i?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.161 + -1.22. Let p = -4.059 - u. Which is the third biggest value? (a) -1\/3 (b) p (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -u**2*x - u*x + 359882*u - 269384*x wrt u?\nAnswer: -2*u*x - x + 359882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*1 + 0)*4 + (sqrt(1872) + 1*sqrt(1872) + 5)*3)**2.\nAnswer: 3600*sqrt(13) + 187425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -2 (b) 8.9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 47*g - 15. Let v be k(7). Suppose 4*n - v = -22. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38, 61, 72, 65, 34, -27, -124, -263?\n\"Answer: -w**3 + 30*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtktntknktttnkn. What is prob of picking 1 t and 2 k?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -7851, 5.\nAnswer: -7851, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 2. Let n = 4 + a. Let x(q) = q**3 + 8*q**2 + 3*q - 10. What is the smallest common multiple of x(-7) and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5659637 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393256?\nAnswer: 2, 49157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 2. Let t be z(5). Suppose -2*d = -4*s + 12, 0*s + 5*s - 18 = 4*d. Solve -5*b = s*a - 7, -b - 4*a = -t*a + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(2000)*-6)\/((sqrt(10) - sqrt(20)\/sqrt(2)*-3) + sqrt(10) - 3*(sqrt(70)\/sqrt(7) + sqrt(10))) + -2.\nAnswer: -2 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 21*w**2 - 20*w + 97. What is the thousands digit of d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11*(1 - 0)\/(-1)*-2. Let a(r) = r**3 - 7*r**2 + 8*r - 7. Let j be a(6). Let s be (-1)\/t*(-1 + j). Which is bigger: 4\/7 or s?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 9, k: 5}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -226\/85 - 4293\/1870. Calculate the common denominator of r and 3\/(42\/23) - -1.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9817 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -0.037519569.\nAnswer: 0.0412715259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -118. What is the remainder when f + ((-6)\/2 - 0) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61746 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**5 - 415*p**4 - 12550*p**3 - 166130*p**2 - 911925*p - 1731375 = 0.\nAnswer: -27, -19, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1553 + -1554. Let d(j) = j - 1. Let c be d(-1). Let m(q) = -q**3 - q**2 + q. Let g be m(c). Sort g, 7, y in descending order.\nAnswer: 7, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 4*g + 10. Let f(y) = 10*y - 2. What is the remainder when f(5) is divided by j(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.8 - 22.1. Sort 5, 1, m in descending order.\nAnswer: 5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 4:47 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 14.5. Let d = 7909.5 - 7898. Let q = d - v. Which is the nearest to -1? (a) q (b) -0.1 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + -84. Solve 2*v + 8 = -2*s, -3*v = -l*s + 5*s + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23394670 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 23*u - 902 = 0. Does 33 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**5\/4 + 27*c**4\/8 - 5*c**3 + 31*c**2. Find n, given that r(n) = 0.\nAnswer: 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 + 135*q**2 + 647*q + 29. What is c(72)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-2261)\/114*(138\/21 + -7).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(sqrt(1573) - (6*(sqrt(1573) + -2 + sqrt(1573)))**2) - ((sqrt(1573) + -1 + -1)**2 + sqrt(1573) + 5)).\nAnswer: -9504*sqrt(13) + 678391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51509517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - 45358\/(-4)*-28. Let w be (1 + l)*(-168)\/140. Round w to the nearest 10000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12133230 - 2?\nAnswer: -12133232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3463.96273 - -0.03727. Let l = k - 3227.9. Let f = l + -265. Round f to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f - 3*f**2 - 7*f)*(333*f - 292*f - 1 + 1).\nAnswer: -123*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406735177 to the nearest integer?\nAnswer: 20168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2083, -4246, -6407, -8566, -10723, -12878?\n\"Answer: r**2 - 2166*r + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6) + sqrt(18)\/sqrt(3)*6).\nAnswer: sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*(-58 - 0). What is the remainder when 13 is divided by t\/(-4) - 3\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3\/2 + 1623*d**2\/2 - 4827*d + 6420 = 0 for d.\nAnswer: 2, 4, 535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 41*l**3 - 4*l**2 - 28461*l - 28458. Determine a(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -331.1 - 467.\nAnswer: -798.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -35047 divided by 5512?\nAnswer: -35047\/5512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l - 43. Let i be j(9). Suppose -2*f - i*g + 1395 = 485, -2311 = -5*f + 4*g. List the prime factors of f.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179904 by 11.\nAnswer: -179904\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10)\/w*w**7)**(-4\/13) assuming w is positive.\nAnswer: w**(16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/153 and 7\/121890.\nAnswer: 365670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10212051 - 551?\nAnswer: -10213042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 60 - 88 + 215 = 0 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 7:16 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/10032 and -167\/2508.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from ususuu.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2612*f + 4122 = -8938. Find t, given that 2\/3*t**3 + 0 + 0*t**2 + 0*t + 1\/6*t**f + 2\/3*t**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190243324 - 190243324 + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 96 = 22*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/7 (b) -0.01 (c) -4\/9 (d) -0.083 (e) -0.4 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 320184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, o: 10}. Give prob of picking 1 w and 3 o.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171) + -2*sqrt(171)*5 + sqrt(171)*3 + -3) + -1)**2 + -2 + 3.\nAnswer: 3672*sqrt(19) + 221906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**5*c)\/c)**40)**(-29) assuming c is positive.\nAnswer: c**(-5800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-546480)\/(-504))\/(-66) - 1\/((-14)\/(-8))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26107 + 26107.5. Which is the nearest to 3? (a) k (b) 4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 24 + -24 + 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-12)*d**(11\/4)*d)\/(d**(1\/17)*d**(2\/3)*d) assuming d is positive.\nAnswer: d**(-1831\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35138015 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllll. What is prob of sequence ll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Let m be x(-5). Let y = 6 + m. Which is the closest to y? (a) 0.2 (b) 1\/12 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*s - 60, 2*s - 75 = -5*b + 27. Solve -3*n + w = b, -5*n - 87*w = -85*w + 40 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30497127 to the power of 1\/2, to the nearest integer?\nAnswer: 5522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441 and 1687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**7\/35 - o**4\/4 - 3*o**2 - 3*o. Let i(x) be the first derivative of y(x). What is the second derivative of i(f) wrt f?\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8538143 times -0.62?\nAnswer: 5293648.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 4797 = -4885 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 4, h: 1, j: 2, r: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946 is divided by 234.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2238, -2239, -2240, -2241, -2242, -2243?\nAnswer: -2244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.13+0.785444993\nAnswer: 0.915444993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3898617?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 12:09 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-4\/7)*m**10)\/((m*m\/(m*(m\/(m**(-2\/17)\/m)*m)\/m*m))\/m**9) assuming m is positive.\nAnswer: m**(2700\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -2522?\nAnswer: -2530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18822 + 18835. What is the nearest to j in 2, -3, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (183*h + 495*h + 618*h + 1138*h)*(-2*h**4 + 6*h**4 - 2*h**4).\nAnswer: 4868*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.35073 litres in millilitres?\nAnswer: 30350.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 + 2*d**3 + 0*d**2 + (-4*d**2 + 3*d**2 + 0*d**2)*(2*d - d + 0*d) + (-3*d + 5*d + 0*d)*(-2*d**2 - d**2 + 4*d**2) + 6*d**3 + 144*d**3 + 92*d**3.\nAnswer: 245*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0.1206647?\nAnswer: -3.8793353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14418588133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -205*i + 287*i - 2624. Solve 0 = 94*c - 78*c + i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 8. Solve 4*y + y + a = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 6:37 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-40)\/(-6)*96\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-3 + 12) - (-2 + 4 + -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = l - 4*g, -4*l + 4*g = 2*g - 12. Suppose -l*o - 4 = -x, -2*x - 8 = 3*x - 3*o. Which is greater: x or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -5*g + 3*t, -2*t - 88 = -4*g + 20. Suppose 0 = -6*q + g + 5. Suppose 4*r + 25 = d + 5, -12 = -2*r - q*d. Sort 4, r, -5 in decreasing order.\nAnswer: 4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*w - r - 9 = 54*w, -5*r = 5*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -2*m - 4*h - 10, 5*h + 125 = 4*m. Let p = -18 - -29. Let w = p - 6. What is the greatest common factor of m and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(270) - (sqrt(270) + -2*sqrt(270))*-4)*3)\/(-4*(sqrt(108)*-2)\/sqrt(2)))**2.\nAnswer: -405\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 1:58 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4)*(-1148)\/(-4305). What is the third smallest value in o, 6, -127?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:22 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e97 + 4744b?\nAnswer: 464a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 1. Let y be v(-3). Suppose -3*z - 5*b = -89, -z - y*b + 31 = -0*z. Calculate the remainder when 89 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25155342 - -2?\nAnswer: 25155344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + o**3 - 2*o**3 + (7*o + 12 - 12)*(1 - 1 + o**2) + 2 - 85*o**2 + 2*o + 158*o**2 + 20*o**3 - 80*o**2.\nAnswer: 25*o**3 - 7*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -98.9 and -1386.\nAnswer: 137075.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 10:55 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let f(p) = -p - 8. Let g be f(-5). Let l(x) = -5*x. What is g*k(t) - l(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 39*c - 2 = -41*c, k = c - 1. Put 3, 11, 5, k, -17 in decreasing order.\nAnswer: 11, 5, 3, k, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2512 and 10519?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/(y*y\/(y\/(y\/(y\/((y\/y**(-1))\/y)))*y))))**0*(y\/y**(2\/3)*y*y)**47 assuming y is positive.\nAnswer: y**(329\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 122986, 245920, 368870, 491836, 614818, 737816?\n\"Answer: 8*y**2 + 122910*y + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8940005?\nAnswer: 5, 97, 18433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (232239\/(-35) + 1)\/((-18)\/135)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nttsnstt. What is prob of sequence sst?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 5*l + 1 + 2 to the form j*l + h and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 1\/9 (c) 2 (d) -3.2 (e) 0.1 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 14*i**3\/11 + 58*i**2\/11 - 160*i\/11 - 24\/11 = 0.\nAnswer: -6, -1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*d - 132, i + 115*d = 125*d + 273 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39973010 and 770?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16100875249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11228092723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -98*u - 3. Let g(z) = -3135*z - 95. Let r(q) = -3*g(q) + 95*y(q). Let s be r(1). Suppose -4*f + s = f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -305*j + 163*j + 172*j - 4*j**5 + 5*j**4 wrt j.\nAnswer: -80*j**3 + 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61805695003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 1. Let r(i) = i**2 - 142*i. What is r(b(n))?\nAnswer: n**2 - 140*n - 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 20*r**2 + 2*r**4 - 119*r**3 - 118*r**3 + 235*r**3 in the form i*r**4 + q*r**3 + d*r**2 + m*r + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -233.54719 and -87086.\nAnswer: -87319.54719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17333347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1089*j - 1936. List the prime factors of w(22).\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.3 + 5.5. Suppose -6*k - 4 = -2*k. Let g be k + 1 + (-10)\/(-15). Is g != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*y + 1202, -2*y - 2 + 0 = 0. Let m = r - -4529. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19404\/(-3465)*(-4)\/(-14)*2\/(-48)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 117 = 37. Let w = s + 35. Suppose -c + 42 - w = 0. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(22) - sqrt(22)*1))\/((sqrt(10)*3)\/sqrt(5)) - ((1*-1*sqrt(33))\/(sqrt(6)\/(sqrt(4)\/sqrt(2))) + -1))**2.\nAnswer: 2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15022353 = 20*b - 1177647. Round b to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 0 + 1\/6*j**4 + 4*j + 5\/6*j**3 + j**2. Calculate the remainder when a(-3) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m + 70. Calculate the remainder when ((-4)\/5)\/((-4)\/130) is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = 21*a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -3*a + 5*s, a + 2*s - 7 = 16. What is the remainder when 22 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d**(2\/3))\/d))\/(d\/d**(-5)))**(-18) assuming d is positive.\nAnswer: d**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/20 + 471\/(-5) + -2. Let v = 8 - h. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -102*x**5 - 41269*x**4 - 505595*x**3 - 735915*x**2 - 358823*x - 56056 = 0.\nAnswer: -392, -11, -13\/17, -1\/2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 250.74 and 0.2.\nAnswer: 250.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4*(b\/b**1)\/b)\/((b\/((b**(-1\/3)*b)\/b*b*b))\/(((b**(13\/4)\/b)\/b*b)\/b)) assuming b is positive.\nAnswer: b**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from {o: 8, d: 2, j: 2, y: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -45*g + 27, -3*g + 17*p + 27 = 14*p. Let m(f) be the second derivative of f**4\/12 - f**3\/2 - 3*f**2 - f. Give m(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5486274970?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -2)\/9*0. Solve -3*y - 15 = -3*x, 0 = 2*x + y - j + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17325 + -13.\nAnswer: 17312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23749 - 23754. Suppose -j = 1 + 1. Which is the biggest value? (a) 3\/5 (b) i (c) 3 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4876 - 4875.6. Put 333, -2, b, 4\/5 in increasing order.\nAnswer: -2, b, 4\/5, 333","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 + -1) - (-12 - (2 + -26))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from lzqyymqydydymyd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6.81 * 5\nAnswer: -34.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/((-25)\/(-30) - 12\/18)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, -1185, 3, 4 in descending order.\nAnswer: 98, 4, 3, -1185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 14*d**5\/5 + d**3\/3 - 47*d**2\/2 + 3*d + 8. Find the second derivative of b(o) wrt o.\nAnswer: 336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tataaatasvastsi. Give prob of picking 1 a and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -l - 4, -74 = 3*l + 2*l + 3*h. Let r(a) = -a**3 + 6*a**2 - 5*a + 2. Let x be r(5). Is (-1)\/(x\/(l - 3)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 3*w**2 + 3*w. Let q be n(3). Let s = 24 - q. Solve -6*a = -3*a + s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 36941*d**3 + 19 + 12 - 48.\nAnswer: 36941*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*j**5 + 10*j**4 - 28*j**4 + 2194*j**2 + 1699*j**2 - 396*j**2 - j**3 wrt j.\nAnswer: 1140*j**2 - 432*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13248 and 1198656.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 20 = 4*u - 14, -4*u + r + 49 = 0. Let f be (1\/(-3))\/(u\/(-132)). Suppose 37*n + 14*n - 51 = 0. What is the greatest common factor of n and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (43264\/156)\/64.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3*(-9)\/6. Let z be (0\/((-9)\/3))\/r. Solve -3*x + y - 15 = z, x = -2*x + 4*y - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526.9927kg to tonnes.\nAnswer: 0.5269927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -670, -1517, -2706, -4237?\nAnswer: -6110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.15947 kilograms in micrograms?\nAnswer: 6159470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-83 - -53 - 4) + 82?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12234 + -24131?\nAnswer: -40405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14340 + -13891. Calculate the remainder when p is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1 - 0) + 0)*-4. Suppose 3*y + 13 = p*y. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 20*a - 13. Let c(q) = -5*q + 3. Let l(g) = -26*c(g) - 6*o(g). Let b(u) = u**2 + 7*u + 15. Let i be b(-5). What is the units digit of l(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3574*t**3 - 2*t - 2 - 4 + 3363*t**3 + 1637*t**3 + t**2.\nAnswer: 8574*t**3 + t**2 - 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbggbggbbggbgbggbgg. Give prob of picking 1 g and 3 b.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.74069m in millimeters?\nAnswer: 70740.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u\/u**(-2\/11)))*u*u**14\/u assuming u is positive.\nAnswer: u**(167\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19383 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 14\/5 (c) -5 (d) -7 (e) -8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81984068 to the nearest integer?\nAnswer: 9055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169191 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from yfuyy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Suppose -o*d = 3*d. Suppose -2*t + 0*t = d. Which is greater: -1\/19 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51962 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -15, 7*i = -s + 6*i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800841903 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-12)\/220*-10)*(-3)\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 26. Let u = z - -19. What is the smallest common multiple of u and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41012385 rounded to two dps?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) -2\/3 (b) -3.31 (c) 2 (d) -0.4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/390 and 67\/28992.\nAnswer: 1884480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-553)\/28 - 2) + 2\/(-8). Let k be t\/5*(23 + -18) + -1. Suppose -23 = 2*l + 23. Is k less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 110000011110111101110101?\nAnswer: 110000011110111101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 121a - 3?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*d + 172, -3*l + d - 22 = -143. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-6) + -4)*0. Suppose h = -2*t + 16 - 14. Put -0.2, t, -2\/11 in decreasing order.\nAnswer: t, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dygassddyyddyyddydy. Give prob of sequence asg.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/34719 and 11\/30?\nAnswer: 347190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -242*u - 2769?\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43, 91, 139?\n\"Answer: 48*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**3 - 570 - 3*j**4 + 565 + j - 3*j**3 to c*j**3 + m*j + q + i*j**2 + t*j**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -52. Suppose -o + 5*o = -5*k + 66, o = -2*k + 27. Calculate the greatest common factor of k and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333419947 to the power of 1\/2, to the nearest integer?\nAnswer: 18260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -15. Let b = -9 + 8.9. What is the second smallest value in b, y, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.782 + -3.282. Which is the third smallest value? (a) 2 (b) -6 (c) o (d) 113\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 + 245 = 5*b. Suppose -b = -5*v + 159. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40 + -44 - (-175)\/45. Which is the closest to 0.3? (a) 16 (b) 2 (c) -0.2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 15. Suppose 0 = 3*r - 8*r - g*k + 143, -4*r - 4*k + 112 = 0. What is the remainder when r is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 10*z + 11670. Let d be f(0). Suppose -d = -8*u - 4078. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21072*q = 21061*q - 55. Which is the nearest to -1\/33? (a) -0.5 (b) -0.3 (c) 3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6099 (base 15) in base 5?\nAnswer: 1123034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19948 + -7618. What are the prime factors of g?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 226*o - 1010. Let i be v(5). Solve 121*s = i*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15.1 or 39829?\nAnswer: -15.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 624952 a multiple of 818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 1\/4*1. Sort -0.06, j, 3\/2.\nAnswer: -0.06, j, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13247691 and 5235?\nAnswer: 66238455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.134 + 0.134. Which is the third smallest value? (a) d (b) -0.3 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 24. Suppose b = s + s, 0 = -2*x + 5*s + 14. Calculate the highest common divisor of 24 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 312 = -1754. Let p = -206 + u. Solve 2*c - 5*c = p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*a - 12. Suppose 4*d - 33 = -a*k, 3*d - k = -0*k + 41. Let z = d + 21. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53527 + 1?\nAnswer: -53526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1e98 (base 15) to base 16\nAnswer: 1a0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 3, p: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o + 76. Let c be d(8). Suppose -4*h + 20 = -c*j, 4*j - h = h - 20. Is (-1)\/j - 32\/10 - -262 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -70, 381, 832?\n\"Answer: 451*g - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22bb462 - 5?\nAnswer: 22bb459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 15. Let d be r(12). Let s(c) = -c - 1. Let y be s(d). Suppose 2*v + 4*o - 76 - 32 = 0, -y*v = 3*o - 103. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087518?\nAnswer: 2, 1043759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4565688816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -0*h. Let x = 53 + h. Calculate the remainder when x is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5165.949+33825.9\nAnswer: 28659.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 18*u**5 + 40629*u**4 - 74536*u**3 + 24857*u**2 + 18068*u - 9036 = 0?\nAnswer: -2259, -1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x - 5. Let v(i) = -5*i - 25. Let h(c) = 18*c + 74. Let g(u) = -4*h(u) - 11*v(u). Give -6*g(o) + 26*t(o).\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6882 and 744.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 3\/(6\/2). Suppose -4*a + 26 = 5*z, -8 = -2*a - t. What is the third derivative of 7*p**2 + 0*p**z - 9*p**2 - 2*p**6 wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98041, 392187, 882435, 1568785, 2451237, 3529791, 4804447?\nAnswer: 6275205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.170549946 rounded to 4 decimal places?\nAnswer: 0.1705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 3*b**2 + 5*b + 67. Give n(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m - 121*m**2 + 5 + 108*m**2 + 6*m as t*m + q + j*m**2 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(135\/9))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 36, 110, 254, 492, 848, 1346?\nAnswer: 2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 2*h + 22890 = 0, -w = 5*h - 2138 - 374. What are the prime factors of w?\nAnswer: 2, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 7:25 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*(-2*sqrt(190) + sqrt(190) - sqrt(190)) - -2*-3*sqrt(190)))\/(sqrt(1440)*4*-6*-2).\nAnswer: sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p + 26. Let m be s(-12). Suppose -3*v - 106 - m = -4*d, 4*v - 80 = -4*d. Suppose -83 + 755 = 14*x. Calculate the least common multiple of x and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -7\/60*i**6 + 1\/6*i**3 - 3*i**2 + 0*i + 0 + 1\/12*i**4 + 1\/60*i**5. Is v(-1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228228 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -644 + 671. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56000 divided by -250.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 87 - 123. What is the remainder when v is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 724 + -715. Let s(t) = t**3 - 10*t**2 + 8*t + 3. Give s(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(12\/5))\/(m**(3\/22)*m))\/(m\/((m*m*m\/m**9*m)\/m))**(-3\/11) assuming m is positive.\nAnswer: m**(41\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*u + 6 = -0*u, 9 = 5*f - 2*u. Find o such that 24*o + 0*o**2 + 0*o**2 + f*o**2 - 15*o + 6 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**(-1)*q*q)**(-46))**6\/(((q\/(q\/q**1)*q)\/(q*(q\/q**(-2\/7))\/q))\/(q\/q**(2\/3))**(-48)) assuming q is positive.\nAnswer: q**(-7845\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 119, 455, 951, 1553, 2207, 2859, 3455?\n\"Answer: -9*o**3 + 134*o**2 - 3*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -217 less than -217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.3 - -334.7. Let d = -360.99999261 + z. What is d rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*u = -301 + 360. What is the nearest to 0 in -0.74, 2\/7, u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**2\/2 + 1625. Let y(g) be the third derivative of 5*g**4\/24 + g**3\/6 - g**2. What is -4*s(f) + y(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {g: 3, q: 2, v: 1, i: 4, l: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*m = -2, -5*r + 5*m + 2 - 12 = 0. What is the third biggest value in 463, 1\/6, 0.3, r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188.2 - 2\nAnswer: 186.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165922628 is divided by 472?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.2. Let j = -1.1341 + 0.1341. What is the closest to -3 in j, p, -3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/2618 and -39\/764?\nAnswer: 1000076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 12 = -2*w + 17, w = -4*b - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -233, -60, 261, 778, 1539, 2592, 3985?\nAnswer: 5766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -12.033. Let m = w - -0.03279. What is m rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 3*v**2 + 2*v + 4. Suppose -2*i + 15 = 7. Suppose -i*r + 4 = -4. Suppose 0 = -d - r - 1. Calculate f(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58013.\nAnswer: 58013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29936700 divided by 522.\nAnswer: 57350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1063336 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1622 and -6.2?\nAnswer: 10056.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 496 + 162 = 0. Let d be (0 - 2)*(1 - t). What are the prime factors of 2 + d\/(3 + -1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.34 + -0.06. Let u = -24.79 - -25.79. What is the closest to u in 8, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 75 = -13*w. Let f = -71 + w. Suppose f*j = 54 + 322. List the prime factors of j.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10019721*c**2 - 8. Let g(p) = -p. Give t(g(x)).\nAnswer: 10019721*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 869\nAnswer: -86.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2848*j. Let c(s) = -22*s + 624. Let g(m) = 7*m - 195. Let v(l) = 5*c(l) + 16*g(l). Determine d(v(u)).\nAnswer: 5696*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2 - 2*u. Let y be f(2). What is the units digit of (y\/15)\/(6\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -60 and -1055.8.\nAnswer: -1115.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 - 9 - (7 - (-13 + 5))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 - 0.3. Let d = g - 5. Let q = -4.2 - d. Which is the third smallest value? (a) -3 (b) 2\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000048774 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -12. Suppose r = 4*w - 11. Is w bigger than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 16. Let r = -6 - y. Do 3 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**4 + c**3. Let b(d) be the first derivative of d**5\/5 - 7*d**4\/4 + 10*d**3\/3 - 2*d**2 - 10. Let p(k) = -2*b(k) + 2*n(k). What is q in p(q) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1)\/(-3)*6. Let p be (3 + (-38)\/z)\/(-2). Solve -2*o - p = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05261 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from {d: 4, q: 2, n: 3, m: 2, a: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -907 + 907. Let r(q) be the first derivative of 3 + 0*q**5 + q**6 + 0*q**2 + 10\/3*q**3 + 0*q**4 + c*q. Find the third derivative of r(n) wrt n.\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(80\/(-6)))\/((-22)\/(-528)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -83*f - 1. Let n(h) = -290 + 290 + 2*h. Give p(n(r)).\nAnswer: -166*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50800)\/(-1640) - (-30)\/1230.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.021 and 11.\nAnswer: -0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/s**0)\/s))\/s)\/((s\/(s*s\/s**(-3\/5)*s*s))\/s))\/(((s**(-5)*s*s)\/s)\/((s\/s**2)\/s)) assuming s is positive.\nAnswer: s**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 20 = 0, -a + 2*t + 13 + 137 = 0. Suppose -4*o = 98 - a. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + i. Suppose -f = 4*a - 4 - 3, -2*f = -a - 5. Let v(b) = 6*b**2 + 5*b + 1. What is a*v(u) - 4*y(u)?\nAnswer: 2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 210.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 8*l**2 + 2 + 15*l**2)*(3 - 3*l + 4 - 4) + 3*l**3 + 0*l**3 - 2*l**3.\nAnswer: -8*l**3 + 9*l**2 - 6*l + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.77119 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 71 = 4*y, -44 = -5*s + 4*y + 35. Suppose -2*q = 3*u + 2*u - 11, -2*u + 5*q = -16. Calculate the remainder when s is divided by 1\/((u\/8)\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 561 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7737 is divided by 855?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 27*w - 23*w = -5. Let o be ((-5)\/(-4))\/1*28. Let f be o\/(-172) - (-1)\/4. Is f at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 3*z - 1. Let s be j(-5). Suppose a + s = 4*a. Let k = 3 - a. Let t(y) = y**2 + y + 2. Calculate t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3473*a**2 + 13*a + 3225 + 4790 - 3689*a**2 with respect to a.\nAnswer: -432*a + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-28\/9)*f*(f**(-22\/3)*f)\/f*f)\/(f**35\/(f\/(f\/f**(28\/5)))) assuming f is positive.\nAnswer: f**(-1703\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.274615ng in kilograms?\nAnswer: 0.000000000002274615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/220 - (-4)\/10. Sort t, -4, -17 in ascending order.\nAnswer: -17, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 7 + 25 = 0. Suppose 0 = 5*g - 8*g + 9, 4*g = -2*i + 20. What is the least common multiple of t and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*j**2 - j - 144.\nAnswer: 22*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 11) to base 10.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 2*a)*(-2*a + 4*a - 3*a)*(-21*a**3 + 11*a**3 - 17*a**3).\nAnswer: -27*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19 - (0 - 0)\/2. Suppose -4*i + 7*c - 4*c + 296 = 0, 3*i = -c + 235. Let o be i + (-3 - -2)\/1. What is the greatest common factor of o and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/85828005 and 16\/2025.\nAnswer: 429140025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*r - 113 = 0, 15 = -15*r + 10*r. Suppose -913 = -32*o - v. Calculate the remainder when 44 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 64\/126 - (-4)\/(-18). Let p = -59 - -415\/7. Let -4\/7*t + o*t**2 + p = 0. Calculate t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(288) - (sqrt(288) + -1 + -3) - (2 + -2 + sqrt(288) + 0 + sqrt(288)))**2.\nAnswer: -48*sqrt(2) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14280.\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -24. Let g = o + 4. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 1, -4, 78, -1, -5 in decreasing order.\nAnswer: 78, 36, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0074079 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28985974 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*z + 16, -n + 2 = -5*z - 22. Let q be n*(2 + -2) + 5. Suppose q*t = 3*f - 36, -t = -1 - 2. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5 + 338*c - 339*c + 0 + 6. Let m(x) = -9*x + 6. What is -m(a) + 6*q(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1597966, -3195929, -4793892, -6391855?\nAnswer: -7989818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -37 - 47. Let v = 14 - d. Solve v = 4*s + 3 - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -293, -1043, -2445, -4703, -8021, -12603, -18653?\nAnswer: -26375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from srsv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 5)*((-2*a + 4*a - a)*(-4 + 4 + 5) - a + 0*a + 0*a) to the form f*a + l and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*p = -15, 169 = 2*j + 4*p + 199. Sort -19, 0, -7, j, 5 in descending order.\nAnswer: 5, 0, j, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n - 1. Let y be 2 - (2 + (-2)\/(-1)). Is j(y) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2831*b**2*c + 3*c - 1078 wrt b?\nAnswer: -5662*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*v = 112590, 0 = -4*a - 18*v + 19*v + 150085. List the prime factors of a.\nAnswer: 157, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x. Let d(w) = 2*w**2 + w**2 - 2*w**2 + 5*w**2. What is d(n(p))?\nAnswer: 384*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -423677653693 - -1.518.\nAnswer: -423677653691.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t**3 + 2828*t**2 + 5440*t - 22336 = 0.\nAnswer: -1396\/9, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5064869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2464 divided by -32\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u + 1 - u + 4*u)*(22*u + 25*u - 36*u) to v*u**2 + m*u + t and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 7*q - 3. Let c be v(-6). Suppose 2*m + 5 = c*m. Let u(p) = 201*p + 7*p**2 + m*p**2 - 200*p. Calculate u(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -353, -474, -461, -242?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -2 + 0 - -5. Let g be (-6)\/(((-8)\/(-5))\/c). Suppose 3*z - 75 = 4*t, t + 2*z = 32 - 37. Is t >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1566.743644 + 0.083644. Let j = b + 1580. Round j to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53.1679 - -0.0679. Let t = 13881 - 13936. Let b = g - t. Sort 0.4, 2, b in descending order.\nAnswer: 2, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -149049, -298118, -447185, -596250?\n\"Answer: z**2 - 149072*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 2715 and 117 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 + 22*i**2 + 3*i - 16. Let v(s) = 20 + 4*s**3 - 48*s - 3*s**3 + 10*s**2 + 51*s. Let u be v(-10). List the prime factors of q(u).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1413 - 1145. Calculate the highest common divisor of 871 and h.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*5\/10*(-2 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4662 and 138565.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(528)\/sqrt(11) + 1 + (-2*(4 + sqrt(3)) + sqrt(3) - sqrt(3))*6 + 3)**2.\nAnswer: 768*sqrt(3) + 2496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.61 - 0.213\nAnswer: 0.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 33*h - 68. Let j be v(14). Let p(g) be the third derivative of -1\/20*g**5 + 0 - 8*g**j + 0*g**4 + 0*g + 1\/2*g**3. Factor p(i).\nAnswer: -3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/10*6795\/(-18). Let x = o + -36. Suppose -m - 2*j + 6*j = -x, 4*m - 1082 = -2*j. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5\/2 + p**4\/2 + 3*p**3.\nAnswer: -p**3*(p - 3)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 8. Let k(r) = -1364*r**3 - 4*r**2 - 3*r - 2. Let f be k(s). Suppose 0*l + l = -f. What is l rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21, 54, 125, 252, 453, 746, 1149, 1680?\n\"Answer: 3*b**3 + b**2 + 9*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 27, 85, 189, 351, 583, 897, 1305?\nAnswer: 1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 41982\nAnswer: 41981.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(3 + -2*6*sqrt(1216) + 2) + 4)**2 + 3.\nAnswer: -5376*sqrt(19) + 700610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4300000*g**2. Suppose 0 = -5*x + 4*d - 0 - 9, 2*x = d - 3. Let h be s(x). What is h rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 10:04 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.42 + 24.42. Let c = 22.3 - p. Let g = c - -2.1. What is the second biggest value in g, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11370*d = 11364*d - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o = 381 - 345. Let f(x) = -131*x**3 + 3*x**2 + x - 1. Determine f(o).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -15 - (54 + -81)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t - 4. Let a be c(4). Suppose a = -4*k + 32. Suppose -y = -k*y. Solve y = -2*p - r - 6, p = 2*r - 10 + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**6\/27 - 22*f**5\/45 - 35*f**4\/18 - 2*f**3\/27 + 52*f**2\/3 + 40*f - 67. Let c(y) = 0. Calculate y.\nAnswer: -5, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341236419 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 161 + -163. What is the nearest to -0.2 in y, 4\/5, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.70835 microseconds to seconds.\nAnswer: 0.00006070835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*r = -66*r + 305*r - 2625 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 4 - 4)*(-6523*i - 6780*i + 10506*i + (-i + 2*i + i)*(1 + 1 - 1)).\nAnswer: -5590*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -29617556 less than -29617549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3388)*3.\nAnswer: 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -756, -1131, -1504, -1875, -2244, -2611?\nAnswer: -2976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*o - 159399 = 0, -159364 = 14*x - 16*x - 2*o. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 + 0 - (-130)\/104. Let u be 3\/435*294 - 2. Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 31*l + 173. Give o(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470195911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p - 2*p)*(-2105 - 918 - 2316 + 1225).\nAnswer: 16456*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80650942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**4\/4 - 5*o**3\/3 + o**2\/2 - 9*o + 1. Is m(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**2 - d. Let y be v(1). Suppose -3410 = -4*u + 2*j, -u + 0*u = y*j - 830. Round u to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11 + 70\/40*-4. Which is the second smallest value? (a) -34 (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0163+-10622635694\nAnswer: -10622635694.0163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10983583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3*r)**(5\/9))**(2\/175) assuming r is positive.\nAnswer: r**(8\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/16590 and -73\/466389.\nAnswer: 368447310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 340901952 a multiple of 717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 443629 to the power of 1\/2, to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v + 23. Let j(l) = 2*l + 11. Let u(w) = -5*j(w) + 2*s(w). Let c(g) = 7*g + 17. Calculate -3*c(t) - 5*u(t).\nAnswer: -t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 12 = 3*o. Suppose -5*i + 44 = -4*z + 201, -5*z + 195 = -5*i. Suppose -z = -5*k + 52. Calculate the lowest common multiple of o and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 556, 834?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by -10.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*j + 3, 3*u + 18 = -5*j - 1. Suppose 0*y - y = -2. Let b = -2354 + 2341. Sort y, j, b.\nAnswer: b, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -105559837, -211119673, -316679509?\n\"Answer: -105559836*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-627)\/4)\/(96\/(-1792)).\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r. Let y(a) = -858870*a**2. Determine y(m(u)).\nAnswer: -7729830*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine sixteenths of a kilometer?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63174.\nAnswer: 2, 3, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -70*u + 17. Let x(k) = -237*k + 51. Let l(q) = -7*f(q) + 2*x(q). Determine l(4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i - 3 = 2*u - 43*i, -5*u + 4 = -i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 464*u. Let k(z) = -3*z**2 - 18*z + 426. Determine k(v(t)).\nAnswer: -645888*t**2 - 8352*t + 426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 357 and 252?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -16, -h - 5*k + 20 = -5*h. Let l be h + 0 - (-2 + (3 - 4)). Put l, -0.1, -5, -0.3 in increasing order.\nAnswer: -5, -0.3, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -14 + (3 - -5) + -12?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0, 0.0801, -2\/69, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 33.46691m?\nAnswer: 3346.691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (80\/140)\/(2\/7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 424060 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 1. Let m(o) = 15*o + 2. Determine -2*m(c) - 6*z(c).\nAnswer: -42*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7 = 9. Let t(u) = -u + 2. Let z(h) = -3*h + 5. Let f(y) = 5*t(y) - 2*z(y). Determine f(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3945*t**2 + 10*t + 33. Is o(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*o - 156 - 313 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.45.\nAnswer: -2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-2 - 13) + 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(99) + (1*sqrt(99)*4 - sqrt(99)) + sqrt(99)))\/(sqrt(81) + sqrt(81) + 5*(sqrt(81)*4 - sqrt(81))))**2.\nAnswer: 275\/2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-486)\/828*(-1909)\/498?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 7:31 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -8\/11, -9 in ascending order.\nAnswer: -9, -8\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) -1 (c) 2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + z = -0*z - 673, -4*z = 2*g - 256. Suppose 0 = 425*y - 439*y + 630. What is the remainder when g is divided by y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 3*z + 6. Let k be l(-5). Let b(s) = -s**3 + 1. Let x(d) = -3*d**3 + 4. Let a(t) = k*x(t) + 14*b(t). Find the first derivative of a(m) wrt m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*l + 149*l - 460*l.\nAnswer: -353*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11016, 11015, 11014, 11013, 11012, 11011?\n\"Answer: -y + 11017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 + -18 - 35) + -8?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let t(c) = 10*c. What is t(b) - 5*y(b)?\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68209, -68210, -68211, -68212?\nAnswer: -68213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*m + 14, 2 = 2*f + m + 3. Suppose -3*h = f*h - 50. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, -4, -3\/7, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1300) + -1 + sqrt(1300) + sqrt(1300) + -2*sqrt(1300) + -3)**2 + 4 + (2*sqrt(1300) - sqrt(1300)) + 1.\nAnswer: -170*sqrt(13) + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnn when three letters picked without replacement from {c: 1, a: 1, p: 1, n: 2, g: 1, x: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77141 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76*n*q*z**2 - 2*n*q*z - 4*n*q - 3*n*z - 34*n - 2*q - 5 wrt z.\nAnswer: -152*n*q*z - 2*n*q - 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6 - 19\/(-2). Let p be g\/8 + 5 + -7. Suppose 0*o = 2*o. Is o greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 19*p**2 - 5*p + 4. Does 44 divide s(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6053821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 23731\nAnswer: 237.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130\/9 or 14?\nAnswer: 130\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(10)*-2)\/((sqrt(14)*-4)\/sqrt(7)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -268\/5 in -7, 0.5, -0.22, -5\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 5*c + 4. Let l = -627 + 626. Let k be p(l). Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57d (base 14) to base 7\nAnswer: -3116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517891932?\nAnswer: 2, 3, 1433, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -644 + 646. Let x(z) be the first derivative of -4\/3*z**2 + 2\/15*z**5 - 8\/9*z**3 + 1\/6*z**4 + 0*z - s. Factor x(j).\nAnswer: 2*j*(j - 2)*(j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6364\/11869 + -10\/1079. What is the biggest value in 0, y, 6.3?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2309 and 2310 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*o + 349 + 227 = 0. What is the greatest common divisor of 1773 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 40)*(2 + -1). Suppose 2*v + 2 = y. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6 - ((-3)\/9 - 1). Suppose -d + 599 = n, p*n - 20*d - 1188 = -17*d. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddg when three letters picked without replacement from gdddj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*y = -189*y - 42 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1281*b + 643*b + 638*b - 210*b**3.\nAnswer: -210*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)*a\/((a*a**(1\/7)*a)\/a)*a*a)\/((a**(-3)\/a)\/a)**20 assuming a is positive.\nAnswer: a**(650\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (17 + -1 + -17)) + (131 - -2).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -7. Solve n = -y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - d**2 - 1. Let b be t(1). Suppose u + 3*u + 12 = 0, 4*c - 20 = 4*u. Suppose z = -3, -2*z = 4*l + 3*z + 35. Put b, l, c in descending order.\nAnswer: c, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -12. Suppose 5*w - 6 = -a. Let z = 22 - 149\/7. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-198)\/(-24))\/((-1)\/16). Let p be h\/(-28) + (-4)\/(-14). Solve 2*w = p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8598 is divided by 477.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 + -1014334400?\nAnswer: -1014340011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*c + 29*c + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31666856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*q, -4*u + 246 = 70*q - 75*q. Solve u*y - 68 = 60 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g - 530 - 5*g + 530.\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70367*d**6 - 94*d**2 + 59*d wrt d?\nAnswer: 8444040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytff when four letters picked without replacement from {y: 4, f: 2, t: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -105418, 5, -1 in ascending order.\nAnswer: -105418, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64784518 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3232*g**3*z - 1347*g**3 + g**2*z + 773*g*z + 2*g - 1163*z wrt g?\nAnswer: -19392*z - 8082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(-60)\/18.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y + 17 = 5*q - 38*y, 0 = q + y + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 40 = t. Find the common denominator of 0 + ((-1820)\/(-24))\/7 and 2\/2 + 109\/t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/7556 and 39\/15112.\nAnswer: 15112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -27*b. What is the tens digit of d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/17659 (c) -2352\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 5*k - 6. Suppose -y - 2 = -5*o, -5*o - y = -k*o + 2. Solve 2*j + 5*d + o = 5, 1 = 2*j + d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 35 = -k. Which is smaller: k or -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157005*d**4*w - d**4 + 60*d**2*w - 518*d*w wrt d.\nAnswer: 3768120*d*w - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + i = -1, 6 = 4*t - 9*i + 11*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80213?\nAnswer: 7, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Let n = 1542 - 1542. Solve -u*w + 3*l + 6 = n, 0*l + 4*l - 6 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - r + 2*r + 507*r**2 - 509*r**2 to v*r**2 + i + g*r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134.336 - 0.336. Let x = n + -151.6. Let r = -17 - x. Sort -1\/6, r, 4 in descending order.\nAnswer: 4, r, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 16*n**2 + 7*n - 9. Let h be j(3). Calculate the highest common factor of h and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - o - 5. Let q be d(0). Let g(c) be the first derivative of -c**3\/3 - 3*c**2\/2 + 2*c - 1610. Let y(l) = -l**2 - 4*l + 3. Give q*y(b) + 7*g(b).\nAnswer: -2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*m + 701 - 4001. Let c = m - -345. Does 29 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-5))\/((-4)\/10). Let g be t - (-3)\/(3\/(-2)). Suppose 121*k - 8 = -4*y + 123*k, 2*y + 5*k - 28 = 0. Solve 2*v + y = -g*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 87544, 87543, 87542, 87541?\n\"Answer: -y + 87545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) -0.08 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3035, 4402, 5957, 7700, 9631?\nAnswer: 11750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.92 - 342.\nAnswer: -336.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -19.354.\nAnswer: -96.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6) - 48\/(-9). Let w be -5 - (3150\/1585 + -6 - 1). Let s = 606\/2219 + w. What is the second biggest value in s, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + w = 21, -d + 125 = 4*w + 50 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -85\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -967*q - 328*q - 40 - 39 + 77 to the form k*q + x and give k.\nAnswer: -1295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 95\/(-210) - 2\/(-7). Which is smaller: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113289 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14871946.\nAnswer: 2, 19, 391367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -505.7 + 529. Let a = -22 + v. Let u = a + -1. Is 2\/3 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**5\/5 + 9*t**4\/5 + 102*t**3\/5 + 144*t**2\/5 = 0.\nAnswer: -3, -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.20335 take away 0.499?\nAnswer: 2.70435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -164, -1\/4?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 810.9346 grams to milligrams.\nAnswer: 810934.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83919?\nAnswer: 3, 11, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 + 214301700*k - 2296260931144500 = 0 for k.\nAnswer: 21430170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 64926 - 65079 - 65087 + 195086.\nAnswer: 4*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**4 - 13*m**3 - 108*m**2?\nAnswer: -120*m - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -41?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-13)\/a)*a\/((a*(((a**(-3\/7)\/a*a)\/a)\/a)\/a)\/a*a)*a*(a\/(a*a**20))\/(a\/((a\/(a\/a**(-2\/25))*a)\/a*a)))**(-10) assuming a is positive.\nAnswer: a**(228\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Suppose p = -t - 4*t + 15. Suppose -t*u - 889511 = 880489. What is u rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 83*y**4\/6 + 217*y**2\/2 + 268*y. What is the first derivative of x(d) wrt d?\nAnswer: 332*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*j + 4*j, 0 = 5*w + 4*j - 19. Suppose -w*o - 5*h - 8 = -h, 0 = -o - 2*h - 2. Let a = 8 + o. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 17\/10*i**5 + 0*i**4 - 60*i**2 + 0 + 1\/210*i**7 + 0*i + 0*i**3 - 1\/60*i**6. Find the third derivative of x(h) wrt h.\nAnswer: 24*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 67*m + 77*m + 100 = 0, -3*m = -t + 20 + 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 38?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(-2)\/(-4) - -82. Suppose 8*z - 160 = 3*z. Calculate the greatest common factor of z and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7*f - 4 - 15*f)*(2*f**3 + 2*f**3 - 5*f**3).\nAnswer: 8*f**4 + 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 17314*b**2 + 86752*b + 1143384.\nAnswer: -2*(b - 11)*(b + 6)*(b + 8662)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -195 - -200. Suppose 3*k = -q*f + 32, -f + 24 = -k + 6*k. Suppose 3*u - 4 = 23. Solve -5*s + f*v = -6, 4*s + v + 0 = u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 6*x + 6. What is the remainder when 44 is divided by q(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/18)\/((-2)\/6). Let k = g - -4. Calculate the remainder when (11\/3)\/1*k is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*(sqrt(272) - 1*sqrt(272)*5) + 5))**2.\nAnswer: -10240*sqrt(17) + 1114512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122056)\/5548*(1032\/517 - 2).\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114334 - -312?\nAnswer: -114022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-145)\/(-15) + (-1)\/(-3). Suppose 0 = -o*d + 13*d - 12. Suppose -q + 691 = d*t, 0*q + t - 1361 = -2*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, o: 2, y: 3}. What is prob of sequence dyod?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -11*y + 3. Let l(i) = 26*i - 7. Let v(p) = 4*l(p) + 10*s(p). What is v(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033323829 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 110132303?\nAnswer: -110132302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 3*m**2 - 17*m + 8. Let s be w(-6). Let c(y) = -13436*y + 13436*y - 5*y**s. Let t(k) = -11*k**2 + 1. What is -7*c(o) + 3*t(o)?\nAnswer: 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14176 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4362504 less than 1045.0298?\nAnswer: -4361458.9702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 18 = z + 24, 2*m + 16 = -4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5175 divided by -5?\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 4*v**2 - v + 2. Let c be r(4). What is the units digit of ((-4)\/c - 4) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9462232 is divided by 788495.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 <= -2970789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6205 - 3122?\nAnswer: 30c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:35 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/25)*f\/(f\/(f\/(f\/(f\/(f*(f*f**9*f)\/f)*f)))))**34 assuming f is positive.\nAnswer: f**(-6732\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, f: 1, q: 1, x: 1}. What is prob of picking 1 q, 2 y, and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -44. What is the second derivative of 1 - h**3 + 3*h - 48*h**p - 2*h + 2*h**4 - h**3 wrt h?\nAnswer: 24*h**2 - 300*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/147 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -18*w. Let z(g) = g**2 - 5*g + 5. Let c(i) = -i**2 + 6*i - 6. Let a(p) = -5*c(p) - 6*z(p). Calculate a(n(b)).\nAnswer: -324*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -61. Let c(v) be the second derivative of v**5\/20 + v**4\/2 - v**3\/6 - 4*v**2 - v. What is c(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -137 - 31d26?\nAnswer: -31e5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88082 + 39901121\/453. Calculate the common denominator of -40\/151 and q.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) + sqrt(190)*1)*-3 + 2*-1*sqrt(190))\/(3*4*sqrt(160)\/sqrt(4)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -303.6 - -3.6. Let k = w + 299.5. Which is the second smallest value? (a) -2\/27 (b) k (c) 5\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 282 and 2961?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4645 less than or equal to 658\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923399 is divided by 457.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 750742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, q: 7, x: 3}. What is prob of sequence vq?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, -42, -301, -760, -1473, -2494, -3877, -5676?\nAnswer: -7945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1479\/27*-1 + (-5)\/(360\/16).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -67, -69, -71, -73, -75?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*f - 1187 + 1239 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j - 1. Let i(l) = l**2 + 31*l + 3. Let t(s) = -i(s) - 3*r(s). Let y(z) = 8*z**2. Give y(t(p)).\nAnswer: 8*p**4 + 256*p**3 + 2048*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.907404 rounded to one dp?\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(-310)*0\/(-2))\/3*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 186520?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 23. Let t = -2.8 - l. Let d = t + 6.8. What is the second biggest value in -1, 4\/5, d?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 251*m + 4790. Give b(-19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26364 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2569, -3, -2, -6 in decreasing order.\nAnswer: -2, -3, -5, -6, -2569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:54 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 * -1345577\nAnswer: -9419.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 768050232 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4988 by 86.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 7. Let q be (16\/112)\/(i\/(-14)). Solve q = -f, -3*c + 11 = -0*c + 4*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-3)\/(-2 + -1)). Suppose w + w = p. Solve w = q + 4*x + 23, 4*x - 2*x = 5*q + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 6*t**2 - 17*t + 9. Determine p(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3658877.\nAnswer: 3658877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 144442 (base 5) in base 12?\nAnswer: 3747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2 - 2)*(1 + 2 - 4).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 20*n**2 - 21*n + 13. Let x be u(21). Solve 4*i = 3 + x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.000995um in meters?\nAnswer: 0.000002000995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 + 12*m - 3. Let v be u(5). Find the second derivative of -7*s**4 + 25*s**4 + 35*s + v*s**4 wrt s.\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10351615758473996 + -10351615342504850.29999954. Let h = 415969151 - a. Let u = 5.3 - h. Round u to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 4 = 5*i. Let w be ((-3)\/i)\/((-5)\/(-10)). Suppose 0*x + 3 = q + x, w*q - 7 = -4*x. Calculate the remainder when 14 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s - s)*(2*s - s - 4*s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12aa333 - -3?\nAnswer: -12aa330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746142.\nAnswer: 2, 3, 37, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*j + 73*j + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5561, 11115, 16679, 22253, 27837?\nAnswer: 33431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 11806 - (-6 - -2). Suppose -7*d - k = -12*d. Let z = d + -1307. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*l**5 - 5*l**4 + 18201*l**2 - 22*l - 118938?\nAnswer: -220*l**3 - 60*l**2 + 36402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -7\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -196683 and -140.1279916?\nAnswer: 196542.8720084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obobc. What is prob of sequence bob?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*d**3 - 425*d**2 - 432*d**2 + 857*d**2.\nAnswer: 172*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/(-10))\/((-16)\/(-40)) + 293?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 11042853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-45) - 104\/(-10). Suppose 0 = 9*c - h*c - 38. Let l = c - -41. Solve -l*v - 15 = -6*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 4. Let o = 1.6 + -2.1. Let f = o + 1.3. Which is the third biggest value? (a) f (b) -2\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1001100?\nAnswer: -1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11278768817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -577*w**6 + 61*w**3 - 858*w**2 + 154*w.\nAnswer: -69240*w**3 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 154, 642, 1456, 2596, 4062, 5854?\n\"Answer: 163*u**2 - u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54952 - 3077211\/56. What is the common denominator of j and 2\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9365 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-35)*(5\/2 + -2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*x - 10*x**3 + 97*x + 91*x.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000068944 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*g + 186*g - 1052*g + 177*g + 175*g + 178*g + 183*g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -19*v + 5. Let t(j) = -10*j + 3. What is 6*i(b) - 10*t(b)?\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29683 + 7683. Round y to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 42*v - 476 = -17*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153 and 51?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -186 - -183 - (-167)\/55.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*w - 99, 2*r + 4*w - 309 = -123. Calculate the remainder when r is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*r**6 - 68765*r**5 + 192471*r**2 - 59*r.\nAnswer: -600*r**3 - 4125900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, y: 2, n: 2, o: 5, b: 7}. Give prob of picking 1 b, 1 y, and 1 n.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x. Let o(a) = -a + 1. Let s(h) = -12*h + 10. Let j(d) = -20*o(d) + 2*s(d). What is j(y(z))?\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8797306229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8263 - 8265. Sort 1, -1, a in descending order.\nAnswer: 1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5852191307.\nAnswer: 83, 70508329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-4)\/(-160))\/((-15)\/60).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(11) - (sqrt(11) + 1)) + sqrt(11))*-1)**2.\nAnswer: 10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 10. Solve y + 1 - 3 = j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 8*h - 2 = 10*h, 4*h = -3*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5082 - 76?\nAnswer: 5005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j = 33*j + 3, -2*i + 4118 = 2*j. List the prime factors of i.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 81\/21 + -13 + 425\/35. Suppose 0 = -7*l - 59 - 60. Sort l, -5, u.\nAnswer: l, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*i**3 + 2*i**2 + 16\/7 - 4*i.\nAnswer: -2*(i - 4)*(i - 2)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = -254*o + 257*o + 63, -c + 47 = -5*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 40 = -2*i. Let v(c) = 2*c**2 - 12*c + 11. Is v(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -141.799072 to 2 decimal places.\nAnswer: -141.8","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555*d + 198*d + 177*d + 18*d**3 + 6*d**3 + 180*d.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 3:55 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1676 - 457. Is l\/3 - 30\/(-45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 66123 + 4453 = -2*n, 0 = -3*m - 2*n + 52939. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16deb + -a2?\nAnswer: 16d49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2670 and 534.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/30 - (-32 + (-1008)\/(-32)). Let f(j) be the third derivative of -1\/60*j**6 - m*j**7 + 0*j**5 + 0 - 16*j**2 + 0*j**4 + 0*j**3 + 0*j. Factor f(s).\nAnswer: -s**3*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 13*m**2 + 16*m + 19. Let i be g(-12). Let z = 42 + i. Find the second derivative of z*d + 0*d + 14*d**2 - d**2 wrt d.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-484)\/(-66)*(-60)\/(-55).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -75*c + 155*c - 4 - 82*c. Suppose -y = 5*q + 2, 2*q = 4*y - y - 62. Suppose -y = -5*h + t, 2*t = 2*h - 0*t - 12. Calculate i(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7780473 and -7780469 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1370*m - 11 = -1387*m + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 0. Let b = -200584.5000005 + 200590.5. Let q = b - y. Round q to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z + 47 + 44 = -53 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 215045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 444 = -336 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8570*j**3 - 46*j - 105 - 8572*j**3 + 46*j.\nAnswer: -2*j**3 - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**3 - 23*y**2 + 13*y + 13. Let x(t) = -2*t**3 - 11*t**2 + 6*t + 6. Suppose 444*k - 451*k + 91 = 0. What is k*x(p) - 6*b(p)?\nAnswer: -2*p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 34. Suppose j = 4*n + 21 - 13. Does 3 divide (n + 2 - -1) + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from qkfkphf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 836457\/16280 + -9\/2035. Let q = -51 + f. Sort 2\/11, q, -0.1 in decreasing order.\nAnswer: q, 2\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nenv when four letters picked without replacement from {z: 3, e: 6, v: 1, n: 4}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 6:15 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61291346 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010631 rounded to 6 decimal places?\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**5\/60 + 5*z**4\/24 - 4*z**3\/3 - 3*z**2. Let l(a) be the first derivative of s(a). Is l(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -50, 18, 114?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1367050757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18159*t*v**2 + 16*t*v + 5*t + 31*v wrt v.\nAnswer: 36318*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -181359676 divided by -4\nAnswer: 45339919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 41*r + 37*r - 29, r - 14 = -n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17452141 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*f**3*x - 18552*f**3 + 2*f**2*x + 23211078*f*x wrt f?\nAnswer: -48*f*x - 111312*f + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23585.9 + -13268.2. Round r to the nearest one hundred.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2029*z = 2016*z + 117 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5 = -4*y. Solve -o - y*o - 2*o + 5 - 3 - 10*o**2 = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -730 > 902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -59 (b) -2\/17 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 12*f + 25. What is u(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + 2 - (-1070 - -1087).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132198 + -132198. Let a = -0.06 + 0.09. Let n = -5.03 + a. What is the fourth smallest value in n, o, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76503*v**3 + 21*v + 76511*v**3 - v**2 + 3*v**2 + v**2.\nAnswer: 8*v**3 + 3*v**2 + 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**11*u))\/u*u*u\/u**8)**3*(u\/u**(-1\/3)*u**6)\/((u*u**2)\/(u*u*u**(-2))) assuming u is positive.\nAnswer: u**(-149\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 + o**2)*(0*o - 2*o**2 + 0*o)*(50*o + 16*o - 34*o).\nAnswer: -64*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1202392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**4 - 3*h**4 - 4 + 38 wrt h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 - 2*u**2 + 5*u. Let f(h) = 12*h**2 - 8*h - 18*h**2 + 9*h**2 - 5*h**3. Determine 8*a(g) + 5*f(g).\nAnswer: -g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14d9 (base 15) to base 14.\nAnswer: 18bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(((-4)\/(-1))\/4). Let d(r) = 3*r. Let i(s) = 22*s - 4. Let w(z) = 21*d(z) - 3*i(z). Let l(u) = -u + 4. Let f(n) = c*l(n) + 2*w(n). Calculate f(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064402959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 853421.9 millilitres?\nAnswer: 853.4219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007001205 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/630 and 103\/3420.\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:05 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 261 + -153. Calculate the highest common divisor of f and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 189324, 189335, 189360, 189405, 189476, 189579?\n\"Answer: h**3 + h**2 + h + 189321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2124481 micrometers in meters?\nAnswer: 0.0000002124481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 17*g**6\/3 + 9*g**3 + 11. Find the third derivative of n(m) wrt m.\nAnswer: 2040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6171 = -3*y, -3*y + 5*a = 3*a + 6169. What is the units digit of y\/(-35) - (-3 - (-19)\/7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n - 10762 + 11022 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + (-18 - 0 - (31 - 21)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.5. Let g = 0.5 + -0.8. Which is bigger: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**5\/30 + 489*v**2. Let m(r) = 0*r**2 - 5*r**2 + 2*r**2 + 2*r - 7*r**2. Calculate i(m(j)).\nAnswer: -200*j**4 + 80*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 29 = 19. Suppose -5*y + k + 14 = 0. Solve -y*p + p - 15 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 6*m + 12. Let p = -9532 + 133369\/14. Calculate the common denominator of (m - (-256)\/(-60))*6\/(-16) and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 77551244 and 0.059034.\nAnswer: 77551244.059034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 360 = r. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 545 and 3948416?\nAnswer: 19742080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 6*m**2 + 3*m + 4. Let x be z(-4). Let t be ((-1)\/(-2))\/(4\/x). Solve -5*u + 8 = -t*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 6*l**2 + 7*l + 12. Suppose 0 = -2*j - 2*q - 26, 5*j + 22 = 4*q + 2. What is the units digit of k(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 360, 980, 2022, 3492, 5396, 7740?\n\"Answer: q**3 + 205*q**2 - 2*q + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 >= 897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(2\/9)\/l)*l*l**(-3))\/(l**(2\/11)\/((l\/(l*l**(-5)))\/l)))**8 assuming l is positive.\nAnswer: l**(2848\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 4 = -i + 17, 0 = -j + i - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-137)\/(-20) - 7)*(-42 + 26)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89280 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x - 62. Let w be i(17). Calculate the remainder when 115 is divided by 175\/6 - 1\/w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 403\/4 + -100. Let l = -1761 + 1764. Factor 3\/4*f + s*f**2 + 1\/4*f**l + 1\/4.\nAnswer: (f + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4 + sqrt(128)*-1 - (-3 + sqrt(128)*-2) - (5*(1 + sqrt(128)) - (sqrt(128) + -1)*3)) + -2)**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 64 = 8*p - 3*r, 2*p - 16 = 2*r for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -1 + 10\/3*z**3 - 1\/2*z**4 - 8*z**2 + 0*z + 1\/60*z**5. Factor c(a).\nAnswer: (a - 10)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 + 17*f - 3. Determine r(3).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 170, 240, 294, 326, 330?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*x + 83*x = -195. What is the remainder when 141 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -269*w + 262*w + 147. Suppose 12 = 3*q - w. Calculate the remainder when 98 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 25*l**2.\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 a, and 1 k when four letters picked without replacement from {k: 8, a: 4, r: 5, f: 1}?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 1\/42 (c) -0.4 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -12991*y**2 - 40*y - 194. Let v be c(-21). Is v\/(-390) - (-5)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4050, 4096, 4130, 4146, 4138, 4100, 4026, 3910?\nAnswer: 3746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2\/5 (b) -3\/5 (c) -0.2 (d) -3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/66 and -139\/2090?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 217*w**2 - 7211*w + 887. Determine u(-176).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16026*f**3*h**2 - 106*f**2*h**2 - 44*f**2*h + 2*f wrt f?\nAnswer: 96156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 15. Solve -4*f = 1 + z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-60))\/((-10)\/(-4))*(-1)\/(-8).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 35*i**2 - 9*i + 2*i + 11.\nAnswer: 35*i**2 - 4*i + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (8 - ((-11 - -15) + 1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b. Let s(i) = 4532406*i. Calculate l(s(g)).\nAnswer: 31726842*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*d - 4*d**2 - 113*d - 52*d + 345*d.\nAnswer: -4*d**2 + 111*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -20322203203?\nAnswer: 20322203201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23464, -47101, -70908, -94885, -119032?\n\"Answer: -85*d**2 - 23382*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/468 and -81\/40?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**4))\/p**(-3\/4)*p**(2\/7)*p**(1\/7)*p*(p**(1\/3)\/p)\/((p*p**(-3))\/p)*(p*p**(2\/5))**3 assuming p is positive.\nAnswer: p**(1979\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 2*s - 1. Let g be v(-2). Let w = 11 - g. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {r: 2, g: 8, d: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20801 and 3843?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 266\/9 - 1754\/63. Let k = -3838 - -3840. Factor 8*g + 32\/7 + z*g**k.\nAnswer: 4*(g + 4)*(3*g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112000120010120 (base 3) to base 14.\nAnswer: dbd64d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74\/63 + 9\/7. Let c = -1597 - -1596.3. What is the closest to 2 in 0.1, y, -0.3, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38830 and 1870?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 20. Let n be 3 - (3\/1 + x). Let p(l) = 1 + n*l - l**2 + 0*l + 6*l**3 + 0*l - 4*l. Determine p(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*g**5 - 76*g**4 + 25*g + 1?\nAnswer: 260*g**3 - 912*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ateatm. Give prob of sequence mt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + d - 6*d + 497, 5*h + d - 2605 = 0. Let o = h - 518. Solve t + o*y - y - 12 = 0, 2*y = t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101 - -111100101100?\nAnswer: 111110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 r, and 1 j when three letters picked without replacement from {q: 4, r: 7, h: 6, j: 1}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27841137023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 87*z**2 - 57*z. Let v(h) = -5*h - 6. Give x(v(u)).\nAnswer: 2175*u**2 + 5505*u + 3474","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3927 and 26\/187.\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -999377\/224 or -4461?\nAnswer: -999377\/224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.624 + -0.324. Let f = 0.046 - -0.054. What is the third smallest value in w, f, -17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c*c\/(c\/c**(-2\/5))*c*c))**49*c*c*c\/(c**(-3\/10)*c)*c\/c**(-3\/5)*c*c assuming c is positive.\nAnswer: c**(-145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889215141.\nAnswer: 3, 17, 1025623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((84\/10)\/1)\/(-42*(-45)\/4725).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 670 divided by 5.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 0, 1276, 5, 0.234, -2\/7?\nAnswer: 1276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*r = -19, 5*l - 9 - 13 = -2*r. Let a be (0 - (-104)\/(-6) - 2)\/((-1353)\/24354). What is the greatest common factor of l and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4933 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*r)*(2*r**2 - 3*r**2 + 3*r**2) - 3 + r**3 + 3 + (-7*r + 0*r + r)*(-3*r - r**2 + 3*r) - 2*r**3 - 2 + 2 + 0*r**3 + 2*r**3 + 0*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-6)\/x)\/x**(-1))**(-21))**(2\/23))**(2\/3) assuming x is positive.\nAnswer: x**(168\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11\/46 + 2161\/92. Let z = -1125417\/40 + 28133. What is the common denominator of z and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 19, 3\/8, 5\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-1)*(46\/(-299))\/(-2)*13.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3835, 3832, 3829, 3826, 3823?\n\"Answer: -3*o + 3838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**5\/3 + 32*p**4\/3 - 32*p**3 - 128*p**2\/3 + 320*p\/3 = 0. What is p?\nAnswer: -10, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + (13 - 12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.2, 510, -1, 4 in decreasing order.\nAnswer: 510, 4, 0.1, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - 12. Let t be w(-8). Solve -6*g - t = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*w**2 + 2 - 2*w**4 + w**3 + 2*w**2 + w + 11*w**2 to the form s*w**4 + t + f*w**3 + n*w**2 + y*w and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/61 and 23\/13847.\nAnswer: 13847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53\/6 - 21\/2. Which is the closest to -4? (a) 1 (b) j (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7605 + -7245. What is the remainder when 1093 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065492607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.67 - -0.57. Which is the nearest to s? (a) 1\/5 (b) -1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81.51308 + -0.11892. Let b = -0.132 - j. Round b to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*m**2 + 1717*m + 10 - 59*m**2 - 1715*m - 53*m**2 in the form k*m**2 + d + a*m and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*v**2 + 29*v**2 - 38*v**2)*(7*v - 6*v - 2*v + 23).\nAnswer: 30*v**3 - 690*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssllssss. What is prob of picking 3 s?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 8*o. Calculate a(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 6*z = -5*i + 438, 4*z + 16 = 0. What is the lowest common multiple of i and 110?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 0*l**2 + 2*l**2 + (-2 + 2 + l)*(-13 + 15*l + 13) + 3*l**2 + 5*l**2 - 6*l**2 to m + t*l + i*l**2 and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-1\/11)\/k*k*k**(-2\/15)*k*(k*k\/(k*k\/(k*k*k**(-1))))**(-17) assuming k is positive.\nAnswer: k**(-2512\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16201, 15367, 14533, 13699, 12865?\n\"Answer: -834*h + 17035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6046 and 10?\nAnswer: 30230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**7\/168 - 21*j**6\/40 + 67*j**5\/80 + 191*j**4\/48 - 11*j**3\/4 - 16*j**2 + 4619*j + 1. Let n(b) = 0. What is b?\nAnswer: -64, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctl when three letters picked without replacement from {c: 1, i: 2, t: 2, l: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 14) in base 12?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*v + 11*v + 7*v to l*v + x and give l.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -23*r - 25. Let h be t(-2). Let x = -5 + h. Is 8 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*k - 2 = 2*k, -3*f + 2 = 4*k. Let o = f + 6. Suppose 3*x = 9, 4*x = -o*n - x - 27585. What is n rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -7929\nAnswer: 792.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/14*2 + (-36)\/84. Let r be 1 + 3\/s + (-9)\/18. Which is the closest to r? (a) -13 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*n - 8*n. Let o = 4 - 4. Which is the nearest to 1\/4? (a) n (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -1.2. Let n be (-2)\/3 - (-8)\/(-6). What is the third smallest value in n, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -427\/4, 9, -2\/3, 2\/7, 4\/3, 2\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/6)\/j*j*j**(-10\/7))\/((((j\/j**13)\/j)\/j)\/j**(5\/9)) assuming j is positive.\nAnswer: j**(1675\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000111111000 (base 2) in base 16?\nAnswer: 11f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -14, -32, -66, -122?\n\"Answer: -h**3 + h**2 - 4*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01478 - -365996.1202?\nAnswer: 365996.13498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02972 + 0.87028. What is the third biggest value in 0, 0.02, 0.3, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151190683 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2. Let c be y(4). Let w be 1\/(4 + -5) + 7. Calculate the highest common factor of c and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.057, 2\/13, 133 in ascending order.\nAnswer: 0.057, 2\/13, 2, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 17*m - 4. Let v(c) = 2*c - 1. Let n(b) = -3*s(b) + 21*v(b). Let x(o) = 0*o - o**2 + 4*o**2 + 0*o + 5 + 5*o. Calculate 5*n(z) + 9*x(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {g: 4, f: 1, i: 1, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000063652 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 63)*(-1)\/2. Suppose 5*q - x*q = -84. Factor -6*s**q - 9\/2 + 3\/2*s**4 + 3*s**2 + 6*s.\nAnswer: 3*(s - 3)*(s - 1)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 1, -897, 0.1 in ascending order.\nAnswer: -897, 0.05, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4)*(-16)\/(-564))\/((-11479)\/(-11479)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004141 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 11:17 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -425 + 425. Is 7 a factor of (r + 27\/12)*(-18 - -74)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339162.\nAnswer: 2, 3, 56527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340*a - 1338*a - 6 = 0. Put a, -9, 2 in ascending order.\nAnswer: -9, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -207, -204, -103, 120, 489?\nAnswer: 1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Suppose 0 = z + 4*j + 1 - 4, -33 = -c*z + 5*j. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/66 and -95\/4698?\nAnswer: 51678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8062 is divided by 122.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49399\/45 + 1098. What is the common denominator of x and -8?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-9))\/((52\/6)\/(-13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 34762, 203, -0.02, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7102 is divided by 136.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*15.72\nAnswer: 0.6288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, 75, 123, 171?\n\"Answer: 48*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 7) in base 5?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -10. Let i be (-1 - (16 - b)) + -2. Let o = 41 + i. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 3:40 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21324329.\nAnswer: 13, 1640333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.41101l to millilitres.\nAnswer: 3411.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 524, 1048, 1572, 2096, 2620?\n\"Answer: 524*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*((-1*sqrt(3400) - sqrt(3400))\/sqrt(2)*3)**2.\nAnswer: 367205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to -5882\/1501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/(-8)*44\/7 and -1 - ((-89)\/6 - 1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.1175213, 2\/5, 0.1 in ascending order.\nAnswer: 0.1, 2\/5, 5.1175213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-112)\/(-525))\/(-8)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**2 - 3. Let t(f) = 7 - 84*f + 86*f - 7. Determine t(d(y)).\nAnswer: 16*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14059473577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 39\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/3814 - -3799\/19070. Factor 1\/5*c - l*c**3 - 3\/5*c**2 + 1\/5*c**4 + 2\/5.\nAnswer: (c - 2)*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*c**2 + 2 - c**3 - 13*c**2 - 11*c**2 + c**4 - 1 to t*c**3 + o*c**2 + l + v*c + x*c**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 + -16 + 1 + -5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54\/(-4)*(-1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 take away -13539800?\nAnswer: 13539828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 1 b when three letters picked without replacement from {q: 4, p: 1, f: 1, b: 7}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4 + 12*g**3 + 9*g**2 - 12*g - 12 = 0. Calculate g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 4 + 11*u)*(7*u**2 - 6*u**2 - 25*u**2)*(0 + 0 + 5*u) as s*u + h + i*u**2 + g*u**4 + w*u**3 and give g.\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59071?\nAnswer: 19, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5285976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 10 - 0. Let w be 1*-6*(7 + (-492)\/36 - -6). Which is the fourth biggest value? (a) v (b) w (c) -1\/2 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**6\/120 - 49*p**5\/30 + 1225*p**4\/24 - 686*p**3 - 4761*p**2. Factor i(y).\nAnswer: (y - 84)*(y - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0712733, -2\/11, -16.\nAnswer: -16, -2\/11, -0.0712733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 5*s**2 + 4*s + 2. Let x be a(-4). Suppose x*g = 4*v + 6, -4*g + v + 7 = 2. What is the second biggest value in 1\/4, -0.5, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 55*l + 1057. Let g be t(-19). Let z be (-1)\/((-20)\/(-15) + -1) + 6. Solve -9*v = -z*v + g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.2? (a) 2 (b) -2\/341 (c) 3 (d) 0.5 (e) 0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, -2\/335, -310?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Let r(h) = 4*h - 4. Let j be r(9). What is the greatest common factor of l and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 282 and 423.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -56, -91, -160, -275, -448, -691?\nAnswer: -1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54012 (base 6) in base 14?\nAnswer: 2972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:12 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6198221?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 - -0.06. Let s = -4 + w. Let k = -3.7 - s. What is the nearest to 2\/3 in 1, k, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 643806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 4 + 4)*(-1 + 3 + 0) - 15*a + 37*a - 8*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-2)\/2 - -10. Suppose -3*v - v + 40 = 0. Let y = v - k. Which is greater: 2\/5 or y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 11*y**2 + 11*y - 8. Let i be j(10). Let z be (-1 + 14\/(-4))*i. Let o be (7 + z)\/((-1)\/2). Solve q - o = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 45*n**3 + 2*n**2 + 3*n - 4. Calculate the remainder when y(1) is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**2 - 2*x**2 - 3*x**2)*(2 + 1 - 1) + (-81*x + 165*x - 83*x - 7*x**2)*(4 - 12 - 2) to j + l*x + z*x**2 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 9*a**2 - 2*a + 95. Determine i(7).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 12:31 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1342 and 165.\nAnswer: 20130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 - 8*v. Let g(n) = 3*n. Calculate t(g(p)).\nAnswer: -27*p**2 - 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69362 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) -0.2 (c) -2\/25 (d) -21 (e) -14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 259487\/18 - 14424. What is the common denominator of 55\/72 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 5:45 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54514718 a multiple of 1713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(2*r**5 + 0*r**5 - r**5 - 3*r**5 - 16*r**5 - 10*r**5 - 2*r**5 - r**5 + 11*r**5 + (-3 + 3 - r)*(-2*r**2 - r**4 + 2*r**2)).\nAnswer: -57*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.84\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 + 275 = -4*l. Let g be ((-6)\/10)\/(6\/l). Put 1\/3, g, 0.9 in descending order.\nAnswer: 0.9, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1 + -2 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -183? (a) 0.1 (b) 10 (c) -5 (d) -4 (e) -355\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 185*f + 2*f**3 + 2*f**4 + 2 + 185*f in the form y + g*f**2 + d*f**3 + k*f + z*f**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 100*l**4 - 2*l**3 - 55553*l**2 - 21085032.\nAnswer: 400*l**3 - 6*l**2 - 111106*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*w - 11. What is the highest common factor of 297 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 118 (b) -0.3 (c) 47 (d) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 535\/8. Let z = -0.4 - 0.1. Let j = 0.3 + z. What is the biggest value in p, -5, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 289\/2055 + (45043\/465 - 97).\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 a factor of 825032656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npn when three letters picked without replacement from pnpppppppppnpppppppp.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -301, -290, -95, 338, 1063, 2134?\nAnswer: 3605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1374668326 is divided by 6168?\nAnswer: 6166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20846 and 382673?\nAnswer: 5357422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**2 + 8928*d - 752268 = 0?\nAnswer: -3058, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 smaller than -1.1612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 506 + -98. List the prime factors of u.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3 + 34641*a - 85426 wrt a.\nAnswer: 3*a**2 + 34641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 8*n - 4*n. Suppose -5*y - 2*a = -352, y - 2*a - a = n. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62736782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*z = -19*d - 4*z - 148, -5*z - 86 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3433 + 5496. Suppose -1991 + z = 6*i. Solve -9 = -3*t, -2*q - q = -t + i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6299 = -690*b - 951 - 2410 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -393886 or -393842?\nAnswer: -393842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhmhmh. Give prob of picking 2 h and 1 m.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15281*c**3*r**3 - 8*c*r + c - 4*r**3 wrt c.\nAnswer: -91686*c*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147\/5 - -29. Let z be ((-3)\/(-18))\/((-2)\/20*-5). What is the third biggest value in r, 4, z, -4\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - (-11 + 26)) + -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -421880 rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xspsfxnnsfxxsusxsxx. What is prob of sequence fsf?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 28. Let u(k) be the third derivative of k**5\/60 + k**4\/12 - 2*k**3\/3 - 34*k**2. Give u(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -669 - -667.3. What is the closest to -2 in 2\/11, 2, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-5))\/(18700\/(-275))\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42.1, -39, 2911 in decreasing order.\nAnswer: 2911, 42.1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 267408.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 - -47. Let r = v - -19.2. Put 2, -0.4, r in ascending order.\nAnswer: -0.4, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r = 3093. Suppose 3911 - r = 4*p. Round p to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46545 (base 8) to base 13.\nAnswer: 9031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 20 = 2*b. Let l = -1505 - -1507. Let q be 12\/36*(2 - 3). What is the closest to q in b, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/39 + 1 + 125\/(-52). Put -3, v, 2 in decreasing order.\nAnswer: 2, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 24 = -11*w. List the prime factors of (166\/3)\/(16\/w).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v - 23. Let f be y(0). Let z = f + 223. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1683 + 445. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/3024 and -121\/1008.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -721 - 3*h + 721 - 14*h.\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -414 or -407?\nAnswer: -407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)*((o\/o**(6\/11))\/o)\/o)**45 assuming o is positive.\nAnswer: o**(-1095\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*h - h. Let u be 16\/(-42)*(-18)\/(-24). What is the closest to h in u, 5, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 1 - -3 - 1) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 + 3 - 3)*((j - 2*j + 2*j)*(-2 + 2 + j) + (-3*j**2 - 3*j**2 + 2*j**2)*(-3 + 5 + 0)) to w*j**4 + b*j + v + d*j**2 + l*j**3 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v + v**3 + 9*v**4 + 4 + 4*v**4 - 15*v**4 + 0*v to the form q*v**4 + l*v**3 + i + d*v + p*v**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 10. Let o(a) = 19*a + 5. Let f(m) = -8*m - 2. Let b(v) = -5*f(v) - 2*o(v). Determine i(b(c)).\nAnswer: 4*c + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*s - 50 = -301*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2*b + b)*(5*b + b - 4*b) - 2*b**2 + b - b + (0*b + 3*b - 4*b)*(4*b + 0*b - 2*b) + 2*b + b**2 - 2*b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 11. Let l be y\/(-60) - (-4)\/10. Which is the nearest to 0.1? (a) -4 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*s**2 - 392930*s + 261956 = 0. What is s?\nAnswer: -65489, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 911?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*z - 61*z - 84*z + 64*z - 84*z + 2.\nAnswer: -256*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-189)*-6*1120\/640?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/((-2)\/24). Let x be (j - 2)\/((-9)\/(-1290)). What is x rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 f when three letters picked without replacement from ffmpf.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -c + 9, 4*i + 2 = 2*c + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 2*o**2 - 5. Calculate a(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2\/9 - 51578*w\/9 - 34388\/3 = 0?\nAnswer: -2, 25791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 39. Let w be (-154)\/(-8) + (-3)\/g. Solve -w = 3*u + u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/572 and -143\/36.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n + 1. Let a be s(-11). Let i be (-126)\/(-10) - (-18)\/a. Suppose -3*y = -2*q + i, -3*q - 2*q = 5*y - 45. Is q <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1042a - -d23?\nAnswer: -e607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/18)\/(1*(-2)\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from qkrqqrj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(45\/42))\/(15\/45). Let f be 4 + -7 - -1*u\/4. Which is the second smallest value? (a) 0.3 (b) -0.2 (c) f (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -19.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1156688)\/(-364) + (-3)\/(63\/(-6)). Calculate the greatest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29631 + 2?\nAnswer: 29633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j + 0*j**2 - 11*j**2 + 15*j**2 + 5 + 7*j**2. Let y(i) = -5*i**2 + 4*i - 2. Give -2*s(r) - 5*y(r).\nAnswer: 3*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46967\/5 or 9394?\nAnswer: 9394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -5*i - 15, 4*i - 6*i + 11 = -3*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3206067 is divided by 493?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**4 - 892*o**3 - 13*o**2 + 189*o + 45.\nAnswer: 12*o**2 - 5352*o - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10697152 and 3040.\nAnswer: 53485760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:21 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.5 (c) -4.33 (d) -0.004 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -107989 take away -21?\nAnswer: -107968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 3*t**2 - 3*t - 4. Let i(b) = -2*b + 1. Let q be i(-1). Suppose -q*z = z - 8. Let h be 1\/(z*(-3)\/18). Determine j(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -37*u**3 + 171*u**2 - 1723*u - 41. Let t(o) = 9*o**3 - 41*o**2 + 431*o + 10. Give -6*q(h) - 25*t(h).\nAnswer: -3*h**3 - h**2 - 437*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 6 - 12 = 0. Solve m + 5*l = -m - 7, -v*l = -3*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from oonvbjsjnjo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 8*j - 26. Let r be t(8). Is -154 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49747169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -3208a324?\nAnswer: 3208a322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*2\/2 - 1. Let b be 1\/z - 16\/(-1). Calculate the greatest common factor of b and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10*u**2 + 13. Let b(l) = -4 + 7*l + 0*l + 3*l**2 - 7*l. Determine -7*b(z) - 2*d(z).\nAnswer: -z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 2728. Let b(o) = 2*o**2. Calculate b(p(u)).\nAnswer: 2*u**2 - 10912*u + 14883968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3838423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (47 + 70) - -142.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Suppose 0 = -y + 2*p - 23, 2 = -3*y + v*p - 59. Which is smaller: y or -17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10298961?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 10*f**6\/3 - 6*f**5 + 5*f**4\/16 + 5*f**3\/2 + 5*f**2\/8 + 16. Factor p(y).\nAnswer: 5*y*(y - 1)**2*(4*y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 877.91 - 882. Let g = -3.5 - t. Let x = g - 0.09. Which is the closest to -3? (a) -3\/2 (b) -2\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52489240 and 22360?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 959621109 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-14*q + 15*q + 11*q)*(2 - 2 + q) + 14*q**2 + 84*q - 84*q)*(1 - 1 + 2*q**2 - 4*q).\nAnswer: 52*q**4 - 104*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16124 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -565 + 567. Solve -3*p - g*p = -3*w + 8, 3*p + 2 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15258917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*3\/6 - 189\/(-42). Solve -16 + 43 = z*x + 2*k, k = 4*x - 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-42)\/40) - 3. What is the smallest value in 5, 2\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9447 - 9447.5. What is the nearest to 9 in -2\/27, -0.06, s?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115634226 divided by -38544742?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - u + 2. Let o be n(0). Let r be (-13)\/39 - 14\/(-6). Suppose r*w = 7*w + 15. Which is the nearest to 0? (a) w (b) o (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.001 and -0.16189?\nAnswer: 0.16289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.944 + 1.964. Let x = -5 - -5. Suppose -4*k = -x*k - 16. Which is bigger: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10768, 18445, 26116, 33781, 41440, 49093, 56740?\n\"Answer: -3*d**2 + 7686*d + 3085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -123592*c + 247176. Give j(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a**2 - a. Suppose 0 = -2*q + 8, 5*b + 2*q - 2 = 1. Let l be m(b). Let t = 8 + l. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6542*l**6*v - 326*l**3*v + 242*l**2 + 6605*v wrt l.\nAnswer: 785040*l**3*v - 1956*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*g, 4*y + 2*g + 6 + 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/19 - 439474*r\/19 - 4394540\/19 = 0.\nAnswer: -219727, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3\/5, 407148, -4\/3 in descending order.\nAnswer: 407148, 7, -3\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + n - 57. Let h be f(-8). Which is bigger: h or 2\/401?\nAnswer: 2\/401","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3297 or 3263?\nAnswer: 3297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46392 divided by 46392.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166022 is divided by 82668?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1595, -1625, -1689, -1799, -1967?\n\"Answer: -2*k**3 - 5*k**2 - k - 1587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**6)*o*o*(o*o**(1\/7)*o)\/o)\/(o**(-1\/2))**36*(o**(-1))**19\/(o**(5\/2)\/(o**(-1\/9)*o)) assuming o is positive.\nAnswer: o**(-689\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7491320203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + -10 + -1 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.5, 12\/7, -3, 1\/93.\nAnswer: -3, 1\/93, 0.5, 3\/5, 12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2\/5, -37?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 624, 0 in increasing order.\nAnswer: 0, 2, 624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13131, -13168, -13239, -13350, -13507, -13716?\nAnswer: -13983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(((u\/u**(-1\/3))\/u)\/u)\/u)\/u**(-4)*u**1*u*u**(-9))**2 assuming u is positive.\nAnswer: u**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 175850664 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2 + 143*d + 144 = 0 for d.\nAnswer: -1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -14115 at most as big as -56465\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -43, -46?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504308 is divided by 17313?\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 62542136?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 0.03, 0, 3\/8 in descending order.\nAnswer: 2, 3\/8, 0.03, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-13)*k)**(-2\/121))**4 assuming k is positive.\nAnswer: k**(80\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, e: 5, k: 2, p: 1, g: 3, x: 2}. What is prob of picking 1 e and 1 p?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 574 + -572. What is the third derivative of 84*j**2 - 92*j**2 + 110*j**2 - 12*j**y + 36*j**5 + 218*j**2 wrt j?\nAnswer: 2160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = t. Suppose -t*h + 12 = 4*n - 32, -5*h - 2*n = -43. Suppose 5*a - h*a = -32. Solve 4*f - 4 = a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 400 = -929. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -2626\nAnswer: -5252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 17*x**3 + 7*x - 11. List the prime factors of w(5).\nAnswer: 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9936987*z - 7962732 wrt z.\nAnswer: -9936987","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 21*(-21)\/63. Is 158 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avvvnamavavavannv. Give prob of sequence ama.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 16*w + 7. Suppose 8*q + 31 = 9*q. Calculate the remainder when q is divided by s(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**2 + 144*x - 144*x.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1963 - -7*4\/4?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 10*u + 4*t + 3 = 0, -t - 6 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**2 + 2*s**2 - s**2 - 2 + 2*s**2 to y*s + b + p*s**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 - 8035988*f**2\/9 + 8072137892018*f\/9.\nAnswer: 2*f*(f - 2008997)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 86*p - 1452. Determine o(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10c + -299630?\nAnswer: -299523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4941 - 0.0059. Which is the closest to -1? (a) -1.3 (b) 2\/9 (c) z (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 3*v + 3. Let o = 6 - 4. Let p(h) = h - 3 + 4 + 0*h. Let r = -2 + -3. Determine o*c(b) + r*p(b).\nAnswer: -2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 311431 + -0.027\nAnswer: 311430.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -515 + 557. Calculate the lowest common multiple of (180\/16)\/((-9)\/(-24)) and m.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and -3575653.\nAnswer: -103693937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*d**3 + 102*d**3 + 93*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -48*q**3 + 2*q - 840?\nAnswer: -144*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/60)\/((-6)\/(-5)). Which is the third smallest value? (a) 8 (b) g (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -191681759*y - 12435154 wrt y?\nAnswer: -191681759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:40 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aififffi. Give prob of sequence ifia.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*(-2 - 32\/(-14)). Let t(h) = -8*h**2 - 61*h**2 + 10*h**2 - 52*h**m. Let x(v) = v. Calculate t(x(n)).\nAnswer: -111*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 17) + (1 - (-3 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkjjkk. Give prob of picking 3 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*k + 8, -k - 2*k + 3 = 3*u. Let f = 9 + -9.019. Let l = 3.019 + f. What is the third smallest value in k, 0, -12, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 w when four letters picked without replacement from ccwccwcwwccw.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4681 and 165647.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2 + 74. Let w(f) be the second derivative of -f**3\/6 + 10*f**2 + 5*f. What is the lowest common multiple of m and w(17)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**3 + 9*t**2 + 4*t + 1. Let y(o) = o - 1. Let k(i) = -j(i) + 4*y(i). Let q(c) = -c**3 + 4*c**2 + 2. What is -4*k(w) - 10*q(w)?\nAnswer: -2*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 44*m - 15. Let s(y) = -66*y + 22. Let i(o) = 7*f(o) + 5*s(o). Is 5 a factor of i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35, -65, -109, -173, -263, -385?\n\"Answer: -g**3 - g**2 - 20*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 476 = 2*t. Let u = t + 346. Suppose u = 2*m - 190. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 32 = -4*s, 24*x - 19*x - 2*x = s - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: ((390\/4)\/(-39))\/(1\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 + 6*r**2 + 1. Let x(a) = 4*a**3 + 6*a**2 - a + 1. Calculate 3*d(g) - 2*x(g).\nAnswer: g**3 + 6*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-8) - (-1)\/(-2). Let j(s) = -53*s + 187. Let z be j(3). Suppose -20 = -5*f + 3*b + y*b, 5*b - z = -f. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 12. Suppose 2*b = 2*q + 16, -2*q + 23 = 4*b + 39. What is l(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p*p**2)))\/(p*((p*p\/(p*(p**(2\/11)\/p)\/p))\/p*p*p)\/p))\/((p\/((p*p*p\/(p*p**(1\/2))*p)\/p))\/p)**(1\/47) assuming p is positive.\nAnswer: p**(221\/1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(539) + (sqrt(539) - (4 + sqrt(539))))*-6*4)**2 + (5 + 2*(-2 + sqrt(11)))*-5.\nAnswer: -32266*sqrt(11) + 319670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 171, 450, 715, 960, 1179, 1366, 1515?\n\"Answer: -g**3 - g**2 + 289*g - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -79*l**2 + 134*l - 39. Calculate p(6).\nAnswer: -2079","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2080*i + 2029*i = -969 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/6 - (-3)\/9. Let f be -2 + (x + -5 - (-3)\/3). Suppose f = -2*t - 4, t + 4*t = y - 14. Let j(z) = 1. Let b(d) = -d**2 - 1. Determine y*j(n) + b(n).\nAnswer: -n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1872)*-3*3)**2.\nAnswer: 1364688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2614641 to the power of 1\/2, to the nearest integer?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -200, -393, -564, -707, -816, -885, -908?\n\"Answer: y**3 + 5*y**2 - 215*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**5 - 4*t**3 - 4*t**2 + t. Let r(s) = 3*s**5 - 12*s**3 - 13*s**2 + 2*s - 1. Let l(k) = 14*b(k) - 4*r(k). Factor l(i).\nAnswer: 2*(i - 2)*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9127?\nAnswer: 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1406998734 is divided by 248.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 1, x: 1, m: 1, o: 1}. Give prob of sequence oiq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 + 4 = 0. Suppose t*v - 3 = 5. Let m be v\/(-5) + (-96)\/(-165). Sort m, 10, 0.4 in ascending order.\nAnswer: m, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60352 - 24000 - 27391 + 11340 - 1400)*(0*q + 3*q - 2*q) to h*q + g and give h.\nAnswer: -101803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*n + 60262 - 66681 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p**2 - 25*p. Give k(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 3. Let d be l(-3). Suppose -3*m - m = -16. Which is the nearest to -0.1? (a) m (b) 2\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 6 (b) 7 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -24*r**2. Let y(s) = -7934*s**2. What is k(y(z))?\nAnswer: -1510760544*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 5*x - 21, 2*x = 6*y - 2*y - 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -c - 13, 10 = -0*r + 4*r - c. Suppose r*q + 3 = 27. Calculate the highest common factor of q and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + k. Let w(v) be the third derivative of -v**5\/20 + v**4\/4 - v**3\/6 - 61*v**2. Calculate w(y) - 4*z(y).\nAnswer: y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (20\/14)\/(2\/14) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 10*d**2 - 16*d. Let t be b(-2). Suppose a - 3 = t, -2*i + 342 = -2*a - 2*a. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/6*f**4 + 0 - 5\/2*f**3 + 0*f**2 + 10\/3*f = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 15) in base 9?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z + 1. Suppose 4*p = 25 - 13. Suppose 0 = -u + y - p*y - 40, -5*u - 3*y = 235. Let i be ((-6)\/15)\/(5\/u). Determine m(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16240 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39108500 and 6206000.\nAnswer: 4536586000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/258318 and -69\/151384?\nAnswer: 153957528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j - 2*j)*(17*j**4 + 314 - 314)*(1 + 2 + 0).\nAnswer: -51*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126000.73 - -0.03.\nAnswer: 126000.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n**3 - 8*n**2 + 8*n + 8. Let j be 4 - 18\/(4 + -2). Let a(u) = -6*u**3 - 5*u**2 + 5*u + 5. Determine j*t(k) + 8*a(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m + 2. Let g(n) = 17*n + 4. Give -6*g(u) + 13*q(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 10*k**2 - 8*k - 1. Determine j(11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 26. Let a be l(11). Suppose -5*q = -4*x - 20, 5*x + 12 = a*q - 4*q. Solve -8 = -x*f - 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 9, w: 2}. Give prob of picking 2 c and 1 w.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -0*w - 3*w + 17, 0 = -5*a - 5*w + 30 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 4*p**2 - 2*p - 4. Suppose 2*c + 32 = 24. What is g(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(13)*1 + -4))**2 + 5 + 1 + -3.\nAnswer: -200*sqrt(13) + 728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (41 + -4)*(-4 - -3). Let a = -51 - l. Let r = a - -31. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-90)*3 + 16\/65. Let l = 6 + -2. Which is the third biggest value? (a) p (b) 0 (c) l (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.180144 - 197409.180144. Let x = t + 197450.9884. Let b = -42 + x. Round b to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8404 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - m - 3 = 0, -3*c - c - 2*m = 2. Let f = c - -3. Find the second derivative of -2*w + 0*w + f*w**5 + 3*w wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1, -8, 7 in increasing order.\nAnswer: -8, -4, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-317 + 337)*(-2)\/(-8). Let d = 74 + -64. Which is smaller: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/316 and -29\/8?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8498 by 4249.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 31.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162972 and 324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -4 + 1 - -3) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-213)\/(-142)*(-242)\/12 + 74\/296?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -586 and -25078873.\nAnswer: -25079459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, -8 in increasing order.\nAnswer: -8, -5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 = -57*v - 242 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 540, 49, 0, 25 in decreasing order.\nAnswer: 540, 49, 25, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44237 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -2. Calculate the least common multiple of (31\/155)\/((-1)\/5)*-31 and a.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(35\/28))\/((-2)\/(-5)). Let u(o) = -15*o + 9. Let g be u(n). What is the greatest common divisor of 91 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 521080 + 30218. Suppose 0 = -q - r - 20702. Let g be q\/(1 - 7\/5). What is g rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + (-14 + (2 - 0) - (-1617 - -1592)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-44)\/(-5))\/((-6)\/(-3240)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 4. Let q(a) = -2*a + 13. Let k be q(9). Let g(x) = 3*x - 9. Let l = -1 - 4. Let v be 2\/l*5\/1. Give k*c(m) + v*g(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(8) + -3)*1.\nAnswer: 2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.05396*-2.\nAnswer: 22.10792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 384.9 + -384.5. What is the closest to 0.3 in 2, 3, f, -3\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 14*q**2 + 367*q - 5130. Calculate h(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 351\/6*(-10)\/(-45)*24. Suppose 1257 - n = 5*i. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2, -210, -2\/5, 0.6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*o + 78*o + 144286 = 0. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99 + 98.999729. Round d to 5 decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82842.\nAnswer: 2, 3, 13807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 15 = 5*l, -g - 35 = 4*l - 23 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 11 = 3*x, 0 = 3*x + 4*r + 2 + 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, w: 4, o: 1, s: 1, p: 10}. Give prob of sequence kkpo.\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31900025909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7b08 (base 12) to base 13\nAnswer: -62cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -81.08 and 1.1.\nAnswer: -79.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 a when four letters picked without replacement from akzza.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m - 38 - 30 + 12 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -2 - (-12)\/4. Suppose 3*q = -3*a + 5*a + 2, 0 = -5*q + p*a. Suppose -5*u + 489 = -q*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4841208 and 496.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(2*sqrt(5)) - sqrt(44)) + (sqrt(484)\/(sqrt(33)\/sqrt(3)))**2 + 5.\nAnswer: -sqrt(11) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*o + 1. Let t be (0 + (1 - 1))\/o. Solve -4*z = -4*l - 28, -4*l + z + 2*z - 26 = t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + ((sqrt(252) + (sqrt(252) - 4*sqrt(252)) + -5)**2 - (1 + sqrt(175) + -1)).\nAnswer: 115*sqrt(7) + 1030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 d when four letters picked without replacement from hhfduqfuflquhhflff?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**17*c*c)\/(c\/(c\/((((c*c\/(c**(1\/29)*c))\/c)\/c)\/c*c*c*c))))\/(c\/c**8*c*c\/c**(-1\/5)))**(-48) assuming c is positive.\nAnswer: c**(-165888\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:42 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 157 + -81. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 12. Let n be -2 + 1 + 3 - -34. Calculate the lowest common multiple of (n\/10)\/((-3)\/(-10)) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3574 + 3421 = -5*o, 4*w - 3*o = -78 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (570\/(-45))\/((-2)\/(-3) - 0). Is r > -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -14414234?\nAnswer: -14414240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488*n - 219*n - 975*n = 818*n - 60000 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8717 + -8722. What is the nearest to 2\/21 in 3, -6\/11, q?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**5 + 510217*t**3 + 206*t + 10 wrt t?\nAnswer: 20*t**3 + 3061302*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 137 + 61 + 3*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1))\/s)**47\/(s*s*s\/s**(-1))**(-4\/5) assuming s is positive.\nAnswer: s**(251\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 9 + 33. Suppose 0 = -9*y + m*y. Suppose -4*u - 2*c + 14 = 0, 4*u = -u - c + 16. Solve -u*x = -y*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-21)*(-105)\/70.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/23)*l\/(l**(-8\/3)*l))\/((l*l\/l**10)\/l**(-13)) assuming l is positive.\nAnswer: l**(-86\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3031474 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 52*y**2 + 12*y + 20. What is the tens digit of u(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyh when three letters picked without replacement from yyhhhyhyhh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**2\/4 - 19376616*n + 125151082537152 = 0.\nAnswer: 12917744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27104 and 2079?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 2163 = 5*c - 6*j, 3*j - 1293 = 3*c. What is c rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1085 = 13*a + 631. Let m = a + 104. Is -1 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3, -f + 39 + 18 = 3*n. Suppose -p = -0*o + 5*o - 5, p + 2*o = 2. Let g = p + 7. Calculate the remainder when n is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1545 = -3*c, 0 = -5*w + 10 + 5. Calculate the smallest common multiple of (c\/(-160))\/(4\/10) and 33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1199 + -1)*4\/(-8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -510 + 509.596. Let b = d - -0.804. What is the smallest value in 1\/4, 2, 2\/21, b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43128*j + 3 - 813 = -43110*j for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -1004.70724.\nAnswer: -3014.12172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1752 - 12266\/7. Which is the closest to 1? (a) -2\/9 (b) w (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506795 is divided by 168829.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-two fifths of a week?\nAnswer: 64512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2710 = 5*k, -8*h - 2182 = -4*k - 5*h. Does 32 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71556 and 489636?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2110704908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = r + 4, 0 = -3*r - 3*y - 2*y - 12. Let t be (26\/r)\/((-3)\/(-6)). Let u = t - -14. Solve 14 + u = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 232*x + 0*x**5 + 0*x**4 + 0 + 93\/2*x**2 + 1\/10*x**6 + 1\/6*x**3. Find the second derivative of t(w) wrt w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 34. Suppose 34*r = 36*r - c. Let k be (-2)\/4*-1 - 0. What is the second smallest value in k, -0.3, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363 divided by -2357.\nAnswer: 363\/2357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 5*j - 3*j - 2 + 0*j.\nAnswer: -7*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 517\/1913 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v - 150. Let k be 2\/(-5) + (-18)\/v. Let s = 3.2 - 5.2. Which is the second smallest value? (a) 0.4 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6593a (base 16) to base 8\nAnswer: -1454472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151257 = 2*l - c, -3*l - 4*c = -144664 - 82216. What are the prime factors of l?\nAnswer: 2, 7, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13476005?\nAnswer: 5, 103, 137, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60408 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n**2 + n - 7. Suppose 31*m = -11*m + 42. Let f(b) = b**2. Calculate m*p(q) - 6*f(q).\nAnswer: 2*q**2 + q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -60. Suppose 0 = g - 6*g + 25. Suppose -g*p = -4*p - w. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*i - 3. Suppose 2*b - r + 6*r = 35, -i*r = 2*b - 50. Suppose 115 = 3*q - 20. What is the greatest common factor of q and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 37180*c**2 + 1 - 2.\nAnswer: -37180*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*j = 48*j + 15. Solve -2*a - o + 6 = 2*a, -j*a - 2*o + 9 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8055587 is divided by 3566.\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*a - 1 - 1 = 0, 5*v + 3*a = 10. Let c = v - 8. Let p(s) = s**2 + 8*s + 3. What is p(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -32*g + 34*g + 2 - 3*g**2 + 6*g**2. Let i(c) be the third derivative of 13*c**5\/12 + 15*c**4\/8 + 15*c**3\/2 - 2*c**2. Calculate 2*i(m) - 45*u(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -653.931 - -1.931. Which is the closest to 1? (a) -2\/13 (b) w (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.098 - -0.902. What is the closest to 1 in -6, -4\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.042 in -126, -125\/17, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 645810011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 574759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 810 = 366. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58 - -23)*(0 - 4\/28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + f**2 - 3*f**3 + (4*f - f**3 - 4*f)*(3 + 1 + 0)*(2 - 5 - 4).\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -506893 (base 10) to base 12.\nAnswer: -205411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 359 = -79*r + 22*w, 4*r + 16 = -0*r + 3*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/60 + x**4\/3 + 5*x**3\/2 - 3*x**2 - 25*x. Let i(h) = 0. Calculate h.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5513.9121 and -1.2.\nAnswer: 5512.7121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:55 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 10 = -5*r, 2*l - r = r - 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55.77 - -56. Let k = -0.03 + u. Let m = 0 + 0.1. Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10291357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -2. Let h(v) = -v**2 - 2*v + 1. Let u(a) = -5*a**2 - 11*a + 6. Let r(y) = -11*h(y) + 2*u(y). Let k be r(b). Solve -2*z + k*z + 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18744*c**4 - 2177.\nAnswer: -74976*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -2, -27.13?\nAnswer: -27.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-33)\/(-5) - (-181)\/(14118\/(-468))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-47)\/((r*r**(-2\/5)\/r)\/(r**17*r)) assuming r is positive.\nAnswer: r**(327\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 3, 2\/5, -0.3, -4\/239, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38087*g**2*j**5 + 241*g**2*j**3 - 28*g**2*j - 137*g + 52*j**2 wrt j?\nAnswer: 2285220*g**2*j**2 + 1446*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -25*x**5 - 6710*x**4 - 246780*x**3 + 417560*x**2 + 206080*x = 0.\nAnswer: -224, -46, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/6 + 121*c**4\/3 + 382*c**3 - 4159*c**2\/3 + 8797*c\/6 - 502 = 0.\nAnswer: -12, 1, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + 5 + 1 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 - 18*u**2 - 37 + 39 to the form z*u**2 + k*u + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -295 - -440. What is the remainder when q is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**2 + 43 + 20*k**2 - 3*k**2 - 43.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s. Let l(y) = 1326380*y. Give l(u(m)).\nAnswer: -2652760*m","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 12:09 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6079392 by 21109.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1470 = -4*l, 4*l = l + 3*r + 1080. Let b be -3 - ((-2)\/(-12) + l\/6). Let m = b - -69. Solve 21 = -m*v + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1305\/4, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/t**(2\/21))\/((t\/(t\/t**(-1\/7)))\/t**(-2\/11)) assuming t is positive.\nAnswer: t**(-1186\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 14 = -3*u. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, 1, 104, 241, 412, 617?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20246 + 263344\/13. Which is bigger: 12 or f?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*3\/3 - 2. Let d be (16\/(-10))\/(r\/5). Suppose -2*p + 3*q = 5 + d, -4*q + 20 = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -2\/5, -2\/11, 25, -1\/7, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16122252823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 - 43 - 123*i)*(1 - 4 + 2) in the form c*i + f and give c.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l - 6*l + 4*l)*(-4*l + 6*l - 4*l)*(-l + 3*l + 0*l) to the form f + t*l + o*l**3 + m*l**2 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - i**2 - i. Let b be n(0). Suppose -2*w + 0*x + 12 = x, b = -4*w - x + 22. Let g = 2 - w. What is the nearest to -2\/3 in -2\/3, g, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 + 235054*z\/3 - 13812595729\/3.\nAnswer: -(z - 117527)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -301 - -314.3. Let a = q - 2.3. Let b = a + -7. What is the smallest value in 5, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 8*p**2 + 13*p - 48. Let o be t(8). Let k be 2\/7 + (6 - 30592\/o). Which is bigger: -539 or k?\nAnswer: -539","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(3\/5))**(-1\/27)\/(m**(-6)\/m**(2\/29)) assuming m is positive.\nAnswer: m**(23702\/3915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 5?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169898086 is divided by 169898069?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1276008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y + 35*y + 13 = 11*q - 10*q, 0 = -11*y - 4*q + 52 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/20 + 4\/10. Suppose 0 = -w - 2*j + 12, y = -2*j - 0 + 10. Solve w*i + 18 = 2*q + 4, 8 = -2*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*m - 2 = -n, -4*m - 5*n + 24 = 0. Let a = 7 + -4. Suppose -a*r - 2*p = -21 + 5, 5*p - 22 = -3*r. Solve -5*b - r = m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112776592.\nAnswer: 2, 29, 37, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1062500*f**3 - f**2 + 4. Let o(l) = l**2 + l + 2. Let i be o(0). Let m be c(i). What is m rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4 - 3. Let s be (1 - (y + -4))*1. What is the greatest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*sqrt(117)*-4*-5)\/((-1*sqrt(900)*1 - sqrt(900)) + sqrt(900)))**2.\nAnswer: -32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 393546 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 5*t**2 + t - 5. Let g be s(5). Solve -25 = 5*w - g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 14*p**3 + 28*p**2 + 20*p - 5. Let b(f) = 9*f**3 + 19*f**2 + 13*f - 3. Suppose 3*o - 10 = o. Let g(z) = o*u(z) - 8*b(z). Is g(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**6\/60 - c**3 + 5*c**2. Find the first derivative of t(s) wrt s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 53 = -3*z - 557, -z - 166 = j. Let w = z - -418. Suppose -4*p + 2301 = 3*u - w, 2*u - 2556 = -4*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39651, 43054, 46457, 49860, 53263, 56666?\n\"Answer: 3403*d + 36248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 + 91. Suppose 4*r - 796 = -j, 2*j + r - 2*r - 1547 = m. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 78. Suppose 0 = 6*d + f*d - 11. Solve 4*m + 7*l = 3*l - 16, -4*l - d = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*h**2 - 35*h**3 + 36*h**3 - 3*h**2)*(3*h**2 - 5*h**2 - 3*h**2).\nAnswer: -5*h**5 + 110*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 4*x**2 - 1523*x - 4604. Calculate t(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and -0.09809477.\nAnswer: -7.09809477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/18)\/((-3)\/(-6324)). Suppose -p + n = 4*u - 3*p, -1316 = -5*u + 4*p. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*r = 9*r - 36. Let x(n) = -n. Let u(a) = -a. Let l(m) = 3*u(m) - x(m). What is l(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0327828 less than 2968811.37?\nAnswer: 2968811.3372172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -157305*m - 943784. Give z(-6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 4304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -26 (c) 8 (d) 1 (e) -263\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Divide -13558245 by 3.\nAnswer: -4519415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 67 = 3*c + i, 4*c - 2*i - 88 = 0. Suppose -2*b + c = b + 2*t, 5*t + 80 = 5*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h**3 + h**2. Let s be v(1). Let q(u) = s*u - 4*u - 7*u - 17*u**2. Let r = 430 + -429. Calculate q(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 2 + 4)\/(11\/(-22)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79292095 to the nearest integer?\nAnswer: 8905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 182*n**2 - n - 2. Let g be f(2). Let o = g + -10183\/14. Find the common denominator of o and (25\/(-20))\/(1606\/2482).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/4 of a litre?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*u**2 + 56*u**2 - 12*u + 251*u**2 - 3*u.\nAnswer: 305*u**2 - 15*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-1)\/(5\/(-10))))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1583 (base 11) to base 16.\nAnswer: 7eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-2 + 0 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -40, -54, -82, -130, -204?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b. Let u(t) = -2*t + 5. Let k(s) = 9*s - 11. Let z(r) = 19*r - 21. Let o(m) = -7*k(m) + 3*z(m). Let p(i) = 5*o(i) - 14*u(i). Calculate p(h(f)).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (19\/209*-4)\/((-434)\/77)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -6 - 16)\/(2\/(-464)). Suppose 120*t - 112*t = r. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from splkpvlvppplkpkkpf. What is prob of picking 1 p and 1 l?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44205, -88409, -132613, -176817?\nAnswer: -221021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 423*s**2 + 0 + 2*s - 1 + 2. Let f be h(-1). Let m = f + -1199\/3. Find the common denominator of 52\/9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -782 (b) 0 (c) 0.12 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s + 23*s = 44*s. Suppose 2*i - 2*k - 20 = s, -2*i - 3*k + 22 + 8 = 0. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*g - 2. Suppose 19 + g = k. What is the first derivative of -49 - k*v + 2*v + 14 wrt v?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 4. Let p = -19 - -17. Let j be y(p). Let v(d) = d**3 - 6*d**2 + 2. Give v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*z - 18, 3*p + 2*z = 60 - 36. What is the nearest to p in -3\/4, 2\/75, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428650482?\nAnswer: 2, 7, 102046463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, 2, 4\/13, 5, -1 in ascending order.\nAnswer: -1, -2\/25, 4\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.25 * 0.02.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, f: 2, j: 3}. What is prob of picking 2 f and 2 u?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4788\/(-1449)*3174\/(-1656)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -140, -449, -966, -1691, -2624, -3765, -5114?\n\"Answer: -104*b**2 + 3*b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14897, 29791, 44685?\nAnswer: 59579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a + 0*a**2 + 2*a**2 - a**3 - 1 - a + 8*a. Let x(h) = -2*h**3 - h**2 - h. Let l be x(-1). Suppose -2*t + 3*t - l = 0. Determine n(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -10 - (-2 - 8 - (-4 + -3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 113, 96, 89, 98, 129, 188, 281, 414?\n\"Answer: c**3 - c**2 - 21*c + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/8)\/(57\/(-152)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 970 + -969.8. What is the smallest value in -1.18, -2\/11, m?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*s - 1. Which is greater: s or 16\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxe when three letters picked without replacement from zmzmffxmexzgzmxmf.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2 + 5)\/(3\/(-8)) - -2) + 1. Let g be (-4)\/(-18) - (-87)\/(-513). Sort g, d, 4\/7.\nAnswer: d, g, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/2))**(-14))**(25\/3) assuming i is positive.\nAnswer: i**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58310 is divided by 14495.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16576145 is divided by 48?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(30))\/sqrt(2))\/(sqrt(18)\/((sqrt(66) + 1*sqrt(66))\/sqrt(11)))*6.\nAnswer: -60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/675 and 161\/750?\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-27) + (-2)\/9. Suppose g*u = 3*u - 72. Calculate the remainder when u is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69077?\nAnswer: 67, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - w + 1. Let v(g) = 17*g**2 - 7*g + 6. Let f(a) = -6*l(a) + v(a). Let x be f(16). What is x rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 4. Find the third derivative of -3*f**2 + 11*f**2 - 4*f**2 - f**j wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 135 = -5*l - 14, 2*u = -2. Suppose -l*y - 156 = -27*y. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(2))*-1.\nAnswer: -2*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*o**3 + 16*o + 7*o + 58*o**3 + 10*o - 33*o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 137803016.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1\/138, 4.\nAnswer: -3, -2, -1\/138, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1405 + -1375. Solve k = 11*k + a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from {o: 7, i: 3, t: 1, g: 1}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -l + 15, -4*l + 19 = z - 3. Let t = 2.86 - -0.14. Put -1, t, z in descending order.\nAnswer: t, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19136 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 790526 to the power of 1\/2, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682655 is divided by 336?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 0*c**2 + 3*c**2)*(-2*c**3 - c**3 + 4*c**3) + (-c**3 + 6*c**3 + 4*c**3)*(-16*c**2 + 4*c**2 + 4*c**2) + (38 - 85 + 46)*(0*c**2 + c**5 + 0*c**2).\nAnswer: -72*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54526 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 248798*b.\nAnswer: -b*(b + 497596)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(9\/4)\/(f\/f**(-8)) assuming f is positive.\nAnswer: f**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in 3, -1\/7, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28074968256.95648978 + 28237780189.95649. Let k = 162811938 - x. Let m = 5 - k. What is m rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170\/(-1950)*(-5)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 217\/1328 - 3\/16. Which is the nearest to 0.3? (a) -0.5 (b) -2\/3 (c) v (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + 45*j - 42. Calculate m(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 12000178.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -5*p - 6. What is the third derivative of 26*i**4 - 65*i**2 - 63235*i**p + 63235*i**3 wrt i?\nAnswer: 624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*f - 20, -4*x - 6 = 2*f + 2. Let u = -7 + 11. Let q = u - 2. Solve 3*n - 22 = 2*j, q*n - 11 + 3 = x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -277\/356790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 30. Suppose p - 4*b - x = 1, 3*b - 21 = -3*p. Solve p + 4 = -t + 2*q, -5*q = 4*t - 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t, 0*t + 5*t = h - 2. Suppose c - h = 106. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -5*n + 3*b - 56, 2*n - 2*b = -8. Let i = n + 11. Let w = -20 - -31. What is the lowest common multiple of w and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - 0 - 2)*150\/(-3) is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a**2 - 4*a**2 + 5*a**2)*(-3*a + 2*a + 0*a) + 0*a**3 - a**3 + 0*a**3 in the form y*a**3 + l*a**2 + r*a + k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*m**4 + 36*m**3 - 3834*m**2 + 3195843*m.\nAnswer: -84*m**2 + 216*m - 7668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5063 - 5?\nAnswer: 5057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-10)\/(-25) + 27\/30?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = s - 10*s. Suppose 0 = -2*j + 1 - 11, 3048 = 3*k - s*j. What are the prime factors of k?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 56*f + 1628. Let c be h(-29). Solve 2*b - 2*v + 20 = 4, c*v = 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 70?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 2*g**2 - 7*g - 5. Suppose 6*v - 2*t + 58 - 40 = 0, -2*v + t - 5 = 0. Give b(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2197, 2196, 2195, 2194?\nAnswer: 2193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from akka.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-1)\/6)*(-22)\/176.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 4:50 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8*k + 1368 = 0. Let p = -1 - k. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -36, -2\/3, -12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 67*n = -71*n - 26, -2*t - 4 = -4*n for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45182, -45179, -45176?\nAnswer: -45173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07678784419 to three dps.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1 + sqrt(200) + sqrt(250)\/sqrt(5))**2.\nAnswer: 32*sqrt(2) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73004712 and 96.\nAnswer: 292018848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4 + 6 + (-7 - -10) + -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:17 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(sqrt(36)\/sqrt(6)*6 - sqrt(6)))\/(sqrt(18)\/(sqrt(6) + 2*sqrt(216))).\nAnswer: 13*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*v**2 - 1021*v**2 + 322*v**2 + 347*v**2.\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6740576 times 12?\nAnswer: -20.0886912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -21 (b) -42 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18350 + 330149\/18. Calculate the common denominator of w and -61\/916.\nAnswer: 8244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 234001 (base 5) to base 14\nAnswer: 3202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142843, -571628, -1286277, -2286790, -3573167, -5145408?\nAnswer: -7003513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(0*z - z - z) + 23*z - 9*z - 19*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1192*q**5 - 2*q**4 + 7*q**3 + 128463*q**2.\nAnswer: 71520*q**2 - 48*q + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(-1*sqrt(2) + 3 + 2*sqrt(2)*2) + (-2 + -5*-5*2*sqrt(200))**2.\nAnswer: -1997*sqrt(2) + 500011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 4:15 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbk when three letters picked without replacement from bbbbbkkbbbkbbbbbbbbb.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32\/13 - -237\/91. Which is the closest to -1? (a) -1\/5 (b) s (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 + 14*r**2 - 21*r**2 + r**3 + (-2 - 2 + 2)*(4*r**3 - 3*r**3 + 0*r**3) - 5*r**3 + 2*r**3 - 9*r**3 to d + p*r + s*r**2 + y*r**3 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66.61 - -67. Let a = v + -0.19. What is the second biggest value in a, -10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.55 + -7.45. Put r, 0.2, 0, 5 in descending order.\nAnswer: 5, 0.2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0*w**3 - 10*w + 25\/2*w**2 + 5\/6*w**4 + 0. Differentiate s(j) with respect to j.\nAnswer: 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*c + 12 = -167*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -16. Let r(a) be the first derivative of 0*a**2 - 2*a - 1\/3*a**q + 3. Find the first derivative of r(k) wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-1372)\/(-56))*(-3)\/21.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**3\/6 - s**2\/2 - 33*s. Let u(w) = -w**2 + 4*w + 1. Let q be 4\/(-10) - 32\/20. Let z(l) = q*p(l) - u(l). Factor z(y).\nAnswer: (y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 97, 151, 241, 379?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476*k**2 + 478*k**2 + k - 942*k**2 - k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 920 and 228824.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5223 + -26114\/5. Suppose j*q**2 + 3\/5*q**3 + 4\/5 - 8\/5*q = 0. Calculate q.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09497 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (2 + sqrt(833)))**2 + -1 + sqrt(833)*2*-5 - (sqrt(833)*2*-6*-4 + -5).\nAnswer: -406*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24799.9t in kilograms?\nAnswer: 24799900","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 4. Let u be (-1)\/(1*(p - -1)). Sort 3, u, -5.\nAnswer: -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*j = -2*m - 6, 0 = -2*m + 5*j - 10. Let z be 6 - -114*(-6 + 7). Suppose -15*t + z = 30. Solve -5*y + 3*s + 10 = 0, m = t*y - y + s + 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 2, 0.0482554?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742419141.\nAnswer: 14887, 117043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1518997*3\/3180*4*-1. Let a = p + 5732. Let u = 3883\/5565 - a. Calculate the common denominator of u and 119\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*b + 249 - 249 + b - 5*b + 3*b + (0 + 3 - 4)*(-b + 2*b - 3*b) to j*b + o and give j.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 868*g + 2870*g + 874*g - 691*g.\nAnswer: 3921*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 994, 995, 998, 1003, 1010, 1019, 1030?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -3. Is c smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r + 4. Suppose 0 = -5*y + g - 20, y - 22 = -g - 4*g. Let d be o(y). What are the prime factors of (-1)\/(-2) + d\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7496*a**2 - 31143*a?\nAnswer: -14992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 15\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -11, -1\/6, 0.4, 252, 1, -0.4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, b: 4, j: 9, p: 2}. What is prob of sequence bbp?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.081 + 0.581. Sort 0.1, -14, m in increasing order.\nAnswer: -14, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 10. Let l be r(6). Let a = l - -23. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32430*t**3 - 97*t - 1.\nAnswer: 194580*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 + 5*g**4 - 5*g**4 + (4*g**3 + 0*g**3 - g**3)*(2166 - 2166 + 68*g).\nAnswer: 207*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 478028, 478025, 478022, 478019?\nAnswer: 478016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + -41. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 432.2 + -228.6. What is x rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d*o**5 - 70*d*o**2 - 270*d*o - 2*d + o**2 wrt o?\nAnswer: 60*d*o**3 - 140*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71.93594 - 418961.7.\nAnswer: -418889.76406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1421380?\nAnswer: 2, 5, 71069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 6:01 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5500?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 12*c - 351. Suppose 59*j - 62*j = -c. Calculate the greatest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*c, 4*c - 86*a = -88*a + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, a: 18}. What is prob of picking 1 m and 3 a?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) -16 (c) -36683\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 128021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 55 = -3*j + 2*b, -j - 60 + 49 = 2*b for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -18*h**2 + 575*h + 18. Give v(32).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82640*r + 41321*r + 41322*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2667 + -533.8333. Let k = f + 535. Suppose -v = -o + 7, 2*v + 0*o + 4*o - 16 = 0. Which is the nearest to v? (a) -0.2 (b) 0.03 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w*w**(2\/5))\/w)*w))**(8\/3)\/(w\/(w\/(w**(-2)*w))*w*w**(2\/19)) assuming w is positive.\nAnswer: w**(-162\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 b when three letters picked without replacement from {m: 8, g: 5, b: 3}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10165630 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 8)*24\/(-84)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45563.56 to the nearest one hundred.\nAnswer: 45600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -120?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*q - 3*q + 18, 4*q = -5*r + 52. What is the highest common factor of r and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 267 - 267 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/2, 1, -23, 9.2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 973724, 1947372, 2921028, 3894692, 4868364?\nAnswer: 5842044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i - 242*i**2 - 3*i + 243*i**2 + 1 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**4\/4 + 7277*s**3\/2 - 360927*s**2\/4 - 251127*s\/2 - 31694 = 0?\nAnswer: -4876, -1, -1\/3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1823 - 4147 = -15*v. Suppose -5*p + 757 + v = 0. Let r = p - 136. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9268584.\nAnswer: 2, 3, 13, 61, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*j*n**4 - 6*a*j*n**3*w - a*j - 2*a*n*w - 3*j*n**4*w + 2*j*n**2*w - 132*j*n*w wrt n?\nAnswer: 24*a*j*n - 36*a*j*w - 72*j*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + 259\/111*18\/(-21). Which is the nearest to -0.2? (a) -1\/11 (b) -1\/6 (c) 10 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*j - 31*j - 220*j - 238*j.\nAnswer: -385*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 294 - 230 + 755*p + 176 + 485 - 757*p to the form c + b*p + m*p**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2 - 135715*q + 271450 = 0. What is q?\nAnswer: -27145, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21, -0.430414, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -44. Solve r = 5*w - 0*w + p, -5*r - 15 = 5*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 3915.3.\nAnswer: -15661.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 12:11 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}