diff --git "a/data/dm_maths/full_data/11077_11255.jsonl" "b/data/dm_maths/full_data/11077_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11077_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y(p) = p**2 - 8*p - 13. Let j be y(9). Let d = 7 + j. Suppose -d*b - 2*o = -92 - 26, 4*b - 5*o - 188 = 0. Calculate the remainder when b is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 1171\/522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54.7 - 54.6. Which is the third biggest value? (a) -9\/5 (b) -1 (c) k (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/(123\/(-164))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*v + 14*o - 12*o + 6*o - 4*o, -v + 64 = -15*o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 - -177. Suppose -3*h + 126 + f = 0. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*l**2 + 231*l**2 - 678*l**2 + 218*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 6056192?\nAnswer: 6056192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.11 and -2060775549.\nAnswer: -2060775548.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6490000 to the nearest one hundred thousand.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 - 6*z)*(2 + 1 - 1).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*q - 4*q. Let r be (2*-3 - q)\/(-2). Solve -r = n - 0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*((sqrt(12)\/(3*sqrt(6)) - sqrt(2)) + sqrt(2) - 2*sqrt(288)))**2*6 + 3.\nAnswer: 20188\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**3 - 15*o**2 - 9*o + 4. Let z(g) = 3*g**3 - 3*g**2 - 3. Let i be z(2). Let v(r) = 2*r**3 - 7*r**2 - 4*r + 2. Give i*v(a) - 4*p(a).\nAnswer: 2*a**3 - 3*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0453 or -14?\nAnswer: -0.0453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 162285547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 12 = m, -19 = 4*x - m - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/18 - (15\/(-6) - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*c - 16*c - 4. Suppose s = -c*s + 50. Suppose g - 3*y - 2 = 0, -4*g - y = -11 - s. Solve -g*d = 8 - 28, 36 = 4*m + 4*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-8))\/p**(-1))\/(((p\/(p\/p**(3\/7)))\/p)\/(p*p**(-8\/7)\/p)))\/(p**(2\/3)\/p*p*p*p**(-2\/11))**(-27) assuming p is positive.\nAnswer: p**(2581\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1488 and 33666.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = -11*o - 162 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*c + 81*c + 34 = 0. Suppose 11*d - c = 214. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 286365845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-14) - (-186)\/42. Suppose -d + 67 = -3*g, 206 + 73 = c*d - g. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 60 = -c - 4*g, c - 66 = g. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*r - 148*r + 85*r - 2912 = 89*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120123132 - -2?\nAnswer: 120123134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 194 - -e?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 145099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p - 46*p + 367650 = -11*p. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627.401 weeks in hours?\nAnswer: 105403.368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*y**3 + 15*y**3 - 774*y + 774*y)*(-7 + 5 - 8).\nAnswer: -470*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-3\/14)\/((g*g**(-1)*g)\/g**8) assuming g is positive.\nAnswer: g**(95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 776 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4687*m = 310*m - 275751 for m.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4188792 times 0.2?\nAnswer: 837758.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -11*x**3\/6 + 97*x**2\/2 + 565*x. What is j(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**2\/4 - 55*p\/2 + 60 = 0.\nAnswer: -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 12 = -0. Let r be ((-10)\/(-15))\/(l\/66). Let d = 8 + r. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74049607*-2\nAnswer: -148099214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) - 3794\/(-6). Suppose -8*d + 5*d = -v. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 5458370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 11231?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 2. Let h be 0 - -1 - (0 - 3). Let y(m) be the second derivative of 0 - 1\/2*m**2 - 2*m - 2\/3*m**3. Calculate h*y(d) - 3*o(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29888, -59209, -88530, -117851, -147172, -176493?\nAnswer: -205814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2*s - 6*s - 9*s**2 + 3.\nAnswer: -9*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 - -112. Let x = 164 + f. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykkn when four letters picked without replacement from {v: 6, n: 3, y: 4, k: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-36)*(-36)\/14*(-98)\/14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -4*j - 4*t, 5*j + 3*t - 16 = 0. Suppose 6*a - 2 = 4*a - j*r, 5*a - 2*r = 5. Let s(x) = -3*x**3 + 2*x - a + x**2 + 2*x + 2*x**3. What is s(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 2*q - 0*q. Let t = q - -32. Suppose t*b - 10*b + 590 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -1\/5 (b) -7.9927 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 10:30 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 735 divide 42718935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10202733 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let r(h) = 63*h + 5. Let z(w) = 6 - 209 - 3558*w + 1006*w. Let u(x) = -203*r(x) - 5*z(x). Calculate l(u(m)).\nAnswer: 29*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16783*g**2*o**3 + 2*g**2*o**2*z - g**2*z - 208*g**2 - 2*g*o**2*z - 41*g*o - 10*o**3*z wrt o?\nAnswer: -100698*g**2 - 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -15175 and 17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1704.2803 and 1.7.\nAnswer: 1705.9803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -3931\nAnswer: 7\/3931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25505 (b) -1 (c) 2 (d) -1010\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 1, a: 2, l: 1, y: 1, c: 1}. What is prob of sequence yca?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1936*u + 6293*u - 197496 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0406665 + -8027.38895.\nAnswer: -8027.4296165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*(-495)\/1155?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17929 (base 10) to base 5.\nAnswer: -1033204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*u + 15. Suppose 2*i + 79 + 215 = 2*y, -u*y - 4*i + 762 = 0. Let f = 235 - y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**2 - n**2 + 3*n**2 + (n + 0 + 0)*(-2*n + n - n) - 28*n**2 + 30*n**2 + 2*n + 3*n.\nAnswer: -2*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 - -223. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/247?\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10126?\nAnswer: 2, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 808.3194um to meters.\nAnswer: 0.0008083194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 670026876 by 2.\nAnswer: 335013438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:46 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-15)\/20*(-1*128)\/4 and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5*(sqrt(891) + sqrt(891) + 1))**2 + (sqrt(891) - ((1*sqrt(891))**2*-6 + sqrt(891)))).\nAnswer: -377884 - 3600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -124*j**4*o + 714*j**3*o**2 - 297616*o**2 wrt j?\nAnswer: -496*j**3*o + 2142*j**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 5763 - 7*l**2 + 5763)*(3 + 0 + 0) in the form f + b*l**2 + k*l and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m - 848 = -293. Let q(a) = a**3 + 14*a**2 - 14*a + 13. Calculate q(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 - 3 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/11625 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -415, 0.6, 0.9, -0.036?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 695\/1896 + 2\/237. Let m = 44.036 + -44. Let w = m - -0.664. Which is the closest to 2\/19? (a) h (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuuc when four letters picked without replacement from uuacmuuauumuuuux.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72 (base 8) to base 4.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19685 or -25179?\nAnswer: -19685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.1, -2 in ascending order.\nAnswer: -8, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -20.5. Which is the third smallest value? (a) 2 (b) -0.02 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 93118?\nAnswer: 93121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25679, 51340, 77001?\n\"Answer: 25661*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6 + 5 + 11 + q**2 + 5*q. Let a be b(-10). What is the highest common divisor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1739028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -2. Calculate the remainder when 53 is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 486*t + 189*t.\nAnswer: 679*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + 5*s + 2. Calculate the lowest common multiple of 18 and y(-3).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28787 times -2?\nAnswer: -57574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 12*h**2 + 393*h + 378.\nAnswer: -3*(h - 14)*(h + 1)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + (5 - 16 - -17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43880*m**2 - 14590*m**2 - 14570*m**2 - 14437*m**2.\nAnswer: 283*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/89 + -184\/267. Let k = -166.57 + 158.57. Which is the nearest to s? (a) 1\/2 (b) k (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 - 97. Put 0, 5, 4, o in increasing order.\nAnswer: o, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -175*d**4\/12 - 13*d**3\/2 - 24*d**2. Is l(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.7 plus 21.3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*a + 64*a + 181 + 149 = 0 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 916563.7 millimeters in meters?\nAnswer: 916.5637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 22*p - 30 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*m = 2, -3*u - 5*m - 12 = u. Let f = 668\/3 + -222. Sort u, 0.5, -0.3, f in descending order.\nAnswer: u, f, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (0 + 3))*(-40)\/780. Which is the closest to -3\/5? (a) g (b) 5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, w: 1, s: 2, n: 2, g: 3, k: 1}. Give prob of sequence wcg.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**3 - 5*i**2 + 4*i + 7. Suppose -3*z + 5*x - 22 = 21, 4 = z + 2*x. Let j(k) = -8*k**3 + 6*k**2 - 5*k - 8. Give z*c(y) - 5*j(y).\nAnswer: -2*y**3 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 40. Suppose 1 = c + 3*s + 17, y*c - s + 32 = 0. Let x be (1\/(-3))\/(c\/21). What is the closest to 1\/4 in 3, 6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/6 + 19889*h**4\/6 + 21994817*h**3 + 48810103200*h**2 + 800454970368*h - 50862654259200 = 0 for h.\nAnswer: -6624, -42, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 90394304?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7 + 3 + (2 - 7 + 3)*(-2 - 1 + 1) + 3 + 2 - 7 - 5 + 3 - 1)*(0 + 2*u**2 + 0)*(-2 - 2 + 3)*(-3 + 3 + 2*u**2).\nAnswer: 28*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4277 - 0.\nAnswer: 4277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -15, 1\/3, 0.05?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 25649 + 51395. Let i = g + -4985. What are the prime factors of i?\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 23 - 41 = -4*q, 5*q = -n - 4. Let k be 5\/10 - 114\/(-4). Let g = k - n. What is the smallest common multiple of g and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:54 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 17. Suppose 2*u + 2*u + 5*b = 24, 5*u - v*b - 30 = 0. Solve -n = n - u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2030.7 + 2031. What is the nearest to -1\/6 in y, -33, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 6*h + 1 - 3*h - 1 + 0*h - 5*h + 3*h + (h - h + 2*h)*(4 - 4 - 2) + 2*h + h - 4*h - 2*h + h + 0*h)*(4*h + 12*h - 3*h)*(-4 + 5 + 0).\nAnswer: -91*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3525729708.3 rounded to the nearest 1000000?\nAnswer: 3526000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225755?\nAnswer: 5, 163, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert a4a54 (base 14) to base 4.\nAnswer: 1200331302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 22*j - 90. Let w be t(4). Sort -16, w, 0, 16 in decreasing order.\nAnswer: 16, 0, w, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121100201000 (base 3) to base 13.\nAnswer: -396477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 44155506 (base 8) to base 5\nAnswer: 4412241233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 t, and 1 h when four letters picked without replacement from dtkthdhdhdkdt?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - g**2 + 9. Let m be y(0). Suppose 3*s = m + 12. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*u = 461*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13149012 + 3?\nAnswer: 13149015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14273280 by -1344.\nAnswer: 10620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 + 0 + (-6 - -7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -52115 divided by -52115?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**16*d*d)\/d)\/(d*d*d**(-18)*d*d*d))**(15\/7) assuming d is positive.\nAnswer: d**(450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 65 = 4*m. Let n be 6\/m - 5\/(-7). Let d(l) = 4*l**3 - 2*l + 1. What is d(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 73 - 38 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 164672.7 take away 3877032?\nAnswer: -3712359.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.001 (b) -37 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8228 and 5576.\nAnswer: 674696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1568107, 3136292, 4704475, 6272656, 7840835, 9409012?\n\"Answer: -o**2 + 1568188*o - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-67*l + 216*l + 274*l)*(5 + 0 - 3) - 5 + 5 + 3*l + l + 2 - 1 + 0 + (1 - 4 + 1)*(l - l - 2*l) as q + h*l and give h.\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**3 - 190651*c**2 + 1533385*c.\nAnswer: -36*c - 381302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -423014300 - 4?\nAnswer: -423014304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5726 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1\/2 (c) 5 (d) 83 (e) -0.27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 7:17 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46812 is divided by 46796?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120785891.\nAnswer: 120785891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/11 (b) 0.01 (c) -0.4 (d) -0.08 (e) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from ndtbbubbu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*c**2 - 204*c**2 + 390*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -7 - 0) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and 3337.\nAnswer: -433.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 16*w + 9. Let m(t) = -248*t**2. Give r(m(z)).\nAnswer: -3968*z**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -523 and -4?\nAnswer: 2092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3026, 12798, 29100, 51944, 81342, 117306?\nAnswer: 159848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*j = -r + 17, 0 = 3*r + 5*j - 43. Let a(x) = -8*x - x - 4 + r*x + 3. What is a(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1244857*s**3 + 1244838*s**3 - 2489692*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28620674 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3\/28 (b) -8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r - 74. Let l be q(12). Calculate the greatest common factor of l and 408.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 97 = -202 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2. Let h(y) = 197*y**2. Calculate h(g(r)).\nAnswer: 3152*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 415691302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-40)*5\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**3\/6 + 11*a**2\/2 - 52*a - 5. Let s = 8 - 14. Determine i(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 51 - 5?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 90 and 43874.\nAnswer: 43964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 - 4*p**2 - 8*p + 39. Let a(s) = -16*s**3 + 17*s**2 + 33*s - 161. Give 6*a(h) + 25*z(h).\nAnswer: 4*h**3 + 2*h**2 - 2*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 67 + 20*a + 7*a**2 - 36 - 29*a.\nAnswer: 7*a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + 0 + 2 + -2. Suppose -3*b + b = -x. Factor z + 2*z**5 + 2*z**4 - z**b - 2*z**2 - 2*z**5.\nAnswer: -z*(z - 1)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 0.029551 in decreasing order.\nAnswer: 2, 1, 0.029551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4614, 4614, 4622, 4644, 4686?\nAnswer: 4754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8417 = -5*h - 2*a - 2030, -5*h + 6384 = -a. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.34 - 13.44. Which is the third smallest value? (a) h (b) 20 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/102*(-10183)\/10782.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 - -96. Which is the third smallest value? (a) 2 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, -19, -60, -107, -154, -195, -224?\n\"Answer: g**3 - 12*g**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9602 (base 16) to base 11\nAnswer: -26941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 3*a)*(-1 + 5 - 3) - a + 3 - 3 - 863*a + 1730*a - 850*a + 1 to q + f*a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 4*l - 10. Let z = -0.33 - 3.67. Sort l, z, 5\/6 in descending order.\nAnswer: 5\/6, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - u)*(-5*u + 0 + 6*u - 2) + (186 - 71*u - 186)*(2*u - 4*u + u) - 3*u**2 + 5*u**2 - 4*u**2.\nAnswer: 68*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 154768 + 4?\nAnswer: 154773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 5*d - 2*d)*(-1 + 1 + 10*d) + (-86*d**2 + 81*d**2 + 42*d**2)*(3 - 2 + 2).\nAnswer: 91*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -40*y**2 + 21*y - 3. Let h(j) = -1. Let z(b) = 3*h(b) - p(b). What is the second derivative of z(i) wrt i?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 22839880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606 - 608 - 6*t + 21*t**2 + 6*t.\nAnswer: 21*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 + 13*p**2 - 3*p - 134. Give q(4).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 16. Let d(a) = 5*a + 80. Let k(r) = 2*d(r) - 11*z(r). Let p(h) = -3*h**2 - 14*h + 17. Let m be p(-6). Determine k(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 31. Suppose 49 = -r*n + 14. Let j(t) = 104082*t**2 + 5*t + 17. Let h be j(n). What is h rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**3 - 2*p**2 + 47*p + 200. What is w(-6)?\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -32, -65, -112, -179, -272, -397?\n\"Answer: -m**3 - m**2 - 23*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 - 4*h**2 + h**2. Let r(u) be the first derivative of -u**5\/60 + 2*u**3\/3 - 3. Let v(s) be the third derivative of r(s). What is v(a(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.14 - -4.04. Which is the nearest to u? (a) -2 (b) 5 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -2007, -4647, -8343?\nAnswer: -13095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9870 is divided by 3018.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010000101101 + -100?\nAnswer: 1011010000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 43 = -3*m. Calculate the remainder when m is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 19*g - 6*g - 2*g**2 - 3 - 12*g - 5*g**3. What is the units digit of i(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*a - 23*a + 282 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most as big as -0.803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269.390583ms to days.\nAnswer: 0.0000031179465625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 13 = -33. Suppose k + 17 = v + 5*k, -5*k = -10. Let i(c) = 2*c - 15. Let p be i(v). Solve -t - 5*o - 2 = -3*t, 0 = -5*t + p*o + h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 5*j - j)*(-15*j - 11*j + 9*j).\nAnswer: 34*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/38637 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7794808*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-7*26\/14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - 13*a**2 + 10*a + 17. Let i be v(-7). Let b(w) = w - 5. Calculate b(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12290797*d**4 + 3*d**3*x + 464*d**2*x - 2*d**2 - d*x - d - 6632 wrt d?\nAnswer: 294979128*d + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53772*l**4*s + 2*l**4 + 3*l**2*s - 84*l*s - l - 20*s wrt l.\nAnswer: 645264*l**2*s + 24*l**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 149*j**6\/30 - 47*j**5\/10 + 164*j**2. Find the third derivative of w(y) wrt y.\nAnswer: 3576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 669, 661, 653, 645?\n\"Answer: -8*k + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -547b86 (base 12) to base 9\nAnswer: -2463313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 44 + 41 = 0. Suppose 14*o - 15*o - 2*r + 59 = 0, 3*r + 243 = m*o. What is v in 117\/2*v**2 + o*v**3 - 6 + 12*v**4 + 6*v = 0?\nAnswer: -2, -1\/2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 3 = 4*a. Let s = 14 + a. Solve s*p = 2*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -251 + 251. Let f be (-3)\/(-1) - (-4)\/(-2). What is the nearest to -1 in -5, f, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 1, k: 13, i: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s - 77*s = -84600. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*187\/22*2\/(-3). Solve -v*s = -9*s + 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 357 - 356.9468. Round t to 3 decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 2*u**2 + u + 2. Let m = 7 + -9. Let d = -4 - m. Let l be s(d). Solve l = 2*h - 2*q - 18, q + 3 + 1 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/2, -28\/13, -0.5, -616, -3, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.6338 - 4.\nAnswer: -23.6338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168694.\nAnswer: 2, 3, 11, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-6 + 10 + -8 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 427030?\nAnswer: 1281090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -91122.07 rounded to the nearest one hundred?\nAnswer: -91100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + -9 + (-20)\/(-1). Suppose 3*z = -z + g. Find the second derivative of 3*c + 4*c - c + 9*c**z + 2*c wrt c.\nAnswer: 180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 14*k**2 + 14*k + 13. Let p be m(15). Let h be (-99)\/(-27) + p\/3. Solve 3*y = -2*c - 0*c + h, -5*c = y - 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 564*o + 1515*o - 11 + 13.\nAnswer: 2079*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 138 + -3?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (3 - (6 - (-2 - 0)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-5)*10\/4. Suppose -5*r = -g*r - 4. Calculate the remainder when (-2124)\/24*r\/(-6) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2152*d**3 + 1659*d**2 - 1659*d**2.\nAnswer: -2152*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1 + 3*u**2 + 4*u**2 + 5*u - 6*u - u**3 + 2*u. Is v(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**4 - 3*h**4 - 2*h**4)*(6 - 1 - 1)*(10 - 2*h - 13 - 6).\nAnswer: 8*h**5 + 36*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 68, -261, -30 in decreasing order.\nAnswer: 68, -0.4, -30, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4475 + -4494. Let y(s) = -4*s - 75. Determine y(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 10*u + 47. Let p be o(-12). Let l = p + 179. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1158 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34716 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 28560 = 24372. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11412220 (base 8) to base 13\nAnswer: 694c09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33224775*u**4 - 9*u**2 - 958674*u wrt u?\nAnswer: -797394600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95932489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z - 108. Give m(-24).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.1 + 6. Let s be (5\/(-18))\/(235\/141) + 1\/(-18). What is the nearest to -3 in -2\/7, s, 2, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/725741?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 + -184 - (-4 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Evaluate -21 + -2 + (-4 - -23).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597422.\nAnswer: 2, 3, 17, 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 + 1 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:31 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-4*sqrt(49)*6)\/((sqrt(175) - 1*sqrt(175)) + sqrt(42)\/(sqrt(6) + sqrt(24)\/sqrt(4))))**2.\nAnswer: 258048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**2 + m**2 - m**2. Let d(n) be the second derivative of -n**5\/120 + n**3\/2 + 2*n. Let t(q) be the second derivative of d(q). What is u(t(h))?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 338815 less than or equal to 338815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17614*j**3 + 17611*j**3 - 52819*j**3 + 25 - 25 + 17614*j**3.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/93376 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41922 - 21769. What are the prime factors of k?\nAnswer: 7, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(50\/12))\/((288\/45)\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8089*h - 21131 = 8078*h. Which is greater: 1922 or h?\nAnswer: 1922","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3702 (base 8) to base 12\nAnswer: -1196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r - 1. Let i(h) = -13*h. Let j(q) = 4*b(q) - i(q). What is j(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*w + 8, 2*w = -3*w - 3*r + 4. Suppose w*n = 116 + 700. Suppose 5 = -q, -4*q - n = -2*t + 34. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6519?\nAnswer: 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.975 + 10.845. Let o = v - 9. Let q = o - -5.13. Sort 0.5, q, 0.4, -2\/19 in decreasing order.\nAnswer: q, 0.5, 0.4, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 59*r**4\/24 + 18*r**3 + 22*r**2 + 180*r. Determine u(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -269, -262, -253, -242, -229, -214?\n\"Answer: y**2 + 4*y - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687827 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohzfh. Give prob of picking 1 o and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 3443 = -l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 285, 418, 557?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j. Let m(x) = 2*x**3 - 3*x**2 + 2. Let u be m(2). Let i(c) = c - 47*c**2 + 45*c**2 + u*c. Give i(n) + 4*k(n).\nAnswer: -2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -35, -27, -15, 1, 21, 45?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -7*s**2 + 6. Let v(y) = -y**2. Calculate u(v(k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 283740 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-4 + 1) - -4. Solve h = -3*n - 1, -h - s = -4*n - 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 4*t**2 - 2*t - 6. Determine y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmmmmpmmmmmm. Give prob of picking 4 m.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 5*f + 2. Let c be v(3). What is the remainder when 107 is divided by c\/(6\/(-62)) - (-17)\/(-51)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 683*y + 18792. Calculate g(-28).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.042*268608.\nAnswer: 11281.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 11*v - 7. Let s be h(10). Let b(t) = -2*t**s + 6*t**3 + 4*t**3 + t**2. Determine b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - -31) + -33 - 11?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2 - 2*h - 1. Let x be g(-1). Let d(r) = -r**2 + 7*r + 5. Let w be d(x). Suppose -w*c - 10 = -0*c. Do 0 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11487.95 - -10971. Let r = 517 + j. What is the closest to -2\/7 in -1\/6, 0.3, 0.4, r?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2606 - -2692. What is the greatest common divisor of 16 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -188\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -5, -20, -53, -110?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -1\/100*f**5 - 1 - 2\/5*f**2 - 10*f + 1\/20*f**4 + 0*f**3. Solve c(p) = 0 for p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240431795?\nAnswer: 5, 19, 113, 22397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-5 - (-5 - -15))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1817 - -1827. Calculate the smallest common multiple of k and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -1, -85, -100, 14 in descending order.\nAnswer: 14, 0, -1, -3, -85, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 10828 - 4*z + 6*z**2 - 10828 in the form r*z + y + u*z**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2057) + 2 + sqrt(2057)*-2 + 5)**2.\nAnswer: -154*sqrt(17) + 2106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)\/f**0)\/((((f\/f**(-1))\/f*f)\/f)\/f*f*f**(4\/9)) assuming f is positive.\nAnswer: f**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 132*t**2 - 666*t - 35684. What is v(-67)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0515 and 823.\nAnswer: 42.3845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -18, -56, -110, -180?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 436*w + 25281. Determine h(-58).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 5*x + 75 = 0, 370*x = -t + 372*x - 3 - 21 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 7:45 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 25*k. Let r(o) = -2*o + 5612. Calculate m(r(t)).\nAnswer: -50*t + 140300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/13377 and 41\/8281?\nAnswer: 173901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00074132443 to 5 dps.\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**2 - 29252*v - 1235640 = 0.\nAnswer: -42, 7355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 69*a + 1622. Let z be q(10). What is the greatest common divisor of 3128 and z?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 202*o - 197. Let l be m(1). Solve 3*j - 4*h - 26 = -7, l*h = 3*j - 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**6\/120 + 7*w**5\/60 - w**3 + 5*w**2\/2 - 9*w. Let y(d) be the first derivative of m(d). What is y(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 50 = -2*y. Let o be ((-8)\/(-24))\/((-1)\/(-102)). Suppose -2 = -4*m + o. What is the remainder when y is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z + z**2)*(2*z + 7*z - 6*z)*(-7*z + 64 - 64).\nAnswer: -21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112187830?\nAnswer: 2, 5, 1373, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 674?\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(700) - sqrt(700)) + sqrt(700) + sqrt(7).\nAnswer: -6 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24668603 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 51*s + 9377*s**2 - 44*s - 9375*s**2.\nAnswer: 2*s**2 - 95*s - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2341658 and 12?\nAnswer: 14049948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -508 + 572. Let n be b\/12 + 48\/72. Solve 9*j - n*j + 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewewewewece. Give prob of picking 3 e and 1 c.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10) - (166192\/2380 - 80 - (-3)\/(-7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from {q: 1, o: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 30. What is the remainder when a(0) is divided by 1 - (-3)\/(6\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**4 - 20*i**2 + 2*i**3 + 7*i**2 + 21 - 22 - 16*i**4 to the form z*i**3 + m + c*i**2 + u*i + g*i**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -7*x**5\/20 - x**4\/12 + x**3 + 3*x**2 + 225*x + 5. Let b(f) = 7*f**3 + f**2 - 5*f - 5. Determine -6*b(l) - 5*c(l).\nAnswer: -7*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*o + 123, -4*v + 3*o + 157 = -28. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = 50*o - 8494. Suppose -o = 2*x - 155. Are -32\/7 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**4 - 31*z**3 + 36*z**2. Let p(l) = 2*l**4 - 15*l**3 + 18*l**2. Let i(v) = 3*h(v) - 7*p(v). Factor i(f).\nAnswer: -2*f**2*(f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1366 = -120*f - 3300 - 5506 for f.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -417388 or -417387?\nAnswer: -417387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 585 by 525595.\nAnswer: 117\/105119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.689524 years to months.\nAnswer: 32.274288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4576 divided by -1144.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 30bb614?\nAnswer: -30bb60c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/70 of a week in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 19013, 3, -2 in descending order.\nAnswer: 19013, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) -0.08 (c) 2\/9 (d) -16 (e) 0.4 (f) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*v + 18. Let i be -235*(v\/(-14) + 22\/77). Suppose i + 50 = 3*n. What are the prime factors of n?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7060 and 3530?\nAnswer: 7060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 617. Let p(u) = 11*u + 1234. Determine 7*f(y) - 3*p(y).\nAnswer: 2*y + 617","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -0.125329752?\nAnswer: -2.125329752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 40474\nAnswer: -20237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*o, -14 = 5*o - 4*w + w. Let g = -2 - o. Suppose g*s + 15 = -s. Let j(q) = 4*q**2 - 2. Let r(k) = 9*k**2 - 4. What is s*j(i) + 2*r(i)?\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 116 + 148 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 y when four letters picked without replacement from ymmbppbymuuumypmm?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 1, y: 1, o: 1, n: 1}. Give prob of sequence ojy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 0 + 4*x**2 - 51*x + 0 + 4 + 56*x. Give b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**4 - 63*k**3 - 72*k**2 + 132*k = 0.\nAnswer: -2, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3224 or 3222?\nAnswer: 3222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(3) + sqrt(75) + -3 + 4 + sqrt(75) + sqrt(3) + 3 + 3*sqrt(432))*-4*4)**2.\nAnswer: 393216*sqrt(3) + 7094272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -235 smaller than -233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-135)\/(-10) - 6)*(-2)\/3. Sort b, 1\/5, -1 in decreasing order.\nAnswer: 1\/5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**7)**(-29)*((y**(3\/7)*y)\/y)\/y**(1\/28) assuming y is positive.\nAnswer: y**(-6485\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-1365)*112 + (-2)\/13)*33. Let z be (-20)\/(-11) + 2\/11. Put w, -2, z in ascending order.\nAnswer: -2, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -143*s**2 - 2. Let b(w) = 70347 - 4*w - 70347. What is b(p(k))?\nAnswer: 572*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 48 = -42 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 276*w + 6475. Calculate h(90).\nAnswer: -2165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4444272 and 360?\nAnswer: 22221360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*d + 2*n, 47*d + 4*n = 45*d + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 11. Solve s + n = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 - -96. What is the common denominator of 25\/53 and x*(5134\/12)\/17?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 35. Let m = -38\/3 + 13. What is the third biggest value in q, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5100402 and -5100355 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a - 8*a + 4*a. Let b = 8 + -6. Let p(k) = -2*k**b - 2*k + 2*k. Determine s(p(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*b + 186179 + 97501. What is b rounded to the nearest 100?\nAnswer: -17700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1008, -1279, -1550, -1821, -2092, -2363?\n\"Answer: -271*s - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-two thirds of a year?\nAnswer: 248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3116546694?\nAnswer: 2, 3, 41, 4222963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfccccvcvfef. What is prob of sequence efc?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:33 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25320820*z**2 - 7787251*z.\nAnswer: -50641640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Solve 4*n = u*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 53, 65, 65, 53, 29, -7?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 673545258\/76981 - -3\/153962. Let j = 420047\/48 - w. Find the common denominator of j and -75\/14.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + x + 18717 = r, -2 = 2*x. List the prime factors of r.\nAnswer: 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 0*a**3 - 1\/36*a**4 - 1\/45*a**5 + 0*a + 0 - 1\/180*a**6 - 4*a**2. Determine o, given that t(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2 - 2)*(2 - 1 + 0)*(-3 - 2 + 6)*(-1 + 1 + 3).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in -84508\/9, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/8)\/(((-5)\/(-12))\/1)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153016613 to the power of 1\/2, to the nearest integer?\nAnswer: 12370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - t**2 + 117007*t**3 - 117015*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/29, 0.2, -23, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2 + 7413102*f - 7413105 = 0. Calculate f.\nAnswer: -2471035, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.25746 rounded to 1 dp?\nAnswer: -122.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 78 = -2*k. Is 12 a factor of (-21)\/k - 114\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r + 3. Let j(i) = -9*i + 12. Let s(v) = -6*j(v) + 26*w(v). Let u be s(2). Suppose -5*q - u = 0, -3*q + 21 = 3*a - 69. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111000110011010101 (base 2) to base 16.\nAnswer: 1b8cd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = u + 9 - 34, -29 = -x - 5*u. Suppose -2*k + 4 + 2 = 0. Solve -4*y = -r - 16, -x*r + 5 = -k*y + r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.55. Let o = -0.350034 - b. Round o to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 4*w + 2. Let s be v(5). Let u(c) = -c**3 - 21*c**2 - c - 16. Let f(r) = r**2 + r - 1. Let t(z) = s*f(z) - u(z). Is t(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*h - 4*u, -5*h + 15 = 5*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + -7 + (-4 - -9 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 315 + 5dd?\nAnswer: 8f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -258 * 2\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2152*f**2. Let x(u) = 4*u. Calculate h(x(q)).\nAnswer: 34432*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 502 in decreasing order.\nAnswer: 502, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 - 104. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*u - 595 + 415 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0369925 rounded to 4 decimal places?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11195755313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 8*x**2 + 8*x - 2. Let q be n(-6). Let l be 2\/6*3*-6. Let t = l + q. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddpddpdp. What is prob of sequence pd?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -13\/34, -3\/2, -5, -6, -1278, -4?\nAnswer: -13\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25933 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 9:51 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030192283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**4 - l. Let f(h) = -9*h**4 - 4*h + 34. Suppose -12*a - 6 = -6*a. Let o(m) = a*f(m) + 4*g(m). What is the derivative of o(y) wrt y?\nAnswer: 52*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 5521280?\nAnswer: -5521278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/11)*(((l*(l\/(l\/(l\/l**(1\/5))))\/l)\/l)\/l)\/l*l**(-3)\/(l\/(l*l*l*(l*l**(-3)*l)\/l*l)*l) assuming l is positive.\nAnswer: l**(-291\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2130214 + -2?\nAnswer: -2130216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 2\/30487 (c) 2\/9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -964*p. Let j(x) = 4*x**2 + 14*x. Determine j(d(o)).\nAnswer: 3717184*o**2 - 13496*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i - 3*i - 4*i)*(2*i + 0*i - 5*i) to v + w*i**2 + p*i and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/1883 + 39559\/15064. Let q be (2\/5)\/((-2)\/50). Find the common denominator of (1 + q\/(-16))*(-5 - -25) and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-48)\/160)\/(2\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 c when four letters picked without replacement from ltucutltlt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9537, -9534, -9531, -9528?\n\"Answer: 3*r - 9540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167\/12 + -49\/24. Let y be -5*(-4)\/(-170) + 189\/17. Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(4 + 16) + 12\/(-8)*12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -215*m**4\/24 + 5*m**3\/6 - 9*m**2. Is y(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256945 and 2197.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(2) - (sqrt(200)*1 + sqrt(200)) - sqrt(2)))**2.\nAnswer: 19\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 49 - 50)*((-2 + 0 + 0)*(2*x**2 + 4*x - 4*x) - 3*x**2 + 4*x**2 + x**2 + x**2 - x**2 - 2*x**2) to s*x**2 + n*x + t and give s.\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2975582010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786873301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.5 or -217?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 113*f**2 - 551*f + 207. List the prime factors of p(-116).\nAnswer: 5, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 6:32 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/1 - (-81 - -36 - 21). Solve r*l - 76 = -16*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(1*(-13)\/91 - (-7 + (-385)\/(-49))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {i: 3, t: 3, k: 4, e: 2, h: 2, w: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -48375 divided by -423?\nAnswer: 5375\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**12*(n\/(n*n**(-3)))\/(n*n**(3\/2)*n*n))**(33\/2) assuming n is positive.\nAnswer: n**(-891\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -312 - -372.6. Round r to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4647142 - -2?\nAnswer: -4647140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 892985, -0.1, 1\/4?\nAnswer: 892985","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (5 - (4 + -2 - -15) - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 2*a - 2*a)*(5 + 4*a - 5)*(-26*a - 104 + 104).\nAnswer: 416*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.45 - 0.65. Which is the second biggest value? (a) l (b) 16 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*i - 10 = 0, -2*i - 30 = -5*g + 3*i. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -34454343?\nAnswer: -34454350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 67\/4. Let t = -8 + 9.2. Let n = t - -1.8. What is the second smallest value in -4, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*j + 42*j + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, 0.07, -4\/5, -1, -0.19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -512*135*(-78)\/(-42120)?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 0 in decreasing order.\nAnswer: 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**4\/4 - k**3\/2 - 3*k**2\/2 - 2*k. Let c(g) = -g**3 + 5*g**2 - 5*g - 5. What is 3*c(r) - 5*z(r)?\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/13)*l)\/l**(-2))\/(l\/(l*l**(-1)*l)*l**(-2\/17)*l*l) assuming l is positive.\nAnswer: l**(213\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 14 = -2*b, 5*l + 4 + 4 = b. Let t(z) = -z**2 + z. Let q be t(l). Let d be 5\/2 + (-3)\/q. Solve n - 3*y - 18 + d = 0, 0 = 2*n + 3*y + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1624.488331 - 1623.76. Let t = j - 0.728. What is t rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n. Let m(h) = 57 - 58 - 8*h - 7*h + 24*h. Give p(m(o)).\nAnswer: 63*o - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -11*k**7\/14 + 89*k**4\/4 - 2*k - 139. What is the third derivative of g(m) wrt m?\nAnswer: -1980*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(-13) + 0 + -2. Let n = 1524 + -1523.8. Let g(d) = -d + 4. Let s be g(4). What is the third biggest value in p, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -6 (c) 3 (d) 4203560\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 13*c - 8. Let j be u(12). Suppose 0 = -j*g + 8 + 4. Suppose g*p = -p + 192. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 3:22 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 67, 42, 1, -62, -153, -278, -443, -654?\n\"Answer: -g**3 - 2*g**2 - 12*g + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 466*x**2 - 614*x**2 - 1679*x**2 - 2280*x**3 wrt x.\nAnswer: -13680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(133) - sqrt(133)*-2*-2 - sqrt(133) - 5*(sqrt(133) - -2*sqrt(133)))*5)\/(sqrt(7623) - (sqrt(7623) - 6*sqrt(7623)*2)).\nAnswer: 95*sqrt(19)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 0*p. Suppose 5*l - 2*l - 12 = 0. Let g = l - p. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 18*d - 19)*(-3*d**2 + d**2 + d**2) + 76*d**3 + 78*d**3 - 185*d**3 in the form r*d + h*d**2 + q + x*d**3 and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 95 = 13. Solve -15 = -3*q, -3*v - n = -5*q + 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*k - 47 + 2*k**2 + 22 + 16 + 14.\nAnswer: 2*k**2 - 521*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/1 - (-1 - 2). Suppose t*d + 4*m + 15 = -1, -d = 3*m + 12. Suppose -3*k + d*f + 2*f = -133, -5*k - f = -239. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1503055943\/1410 + -1065997. Find the common denominator of 23\/2350 and q.\nAnswer: 7050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(-1 + sqrt(192)))**2 + ((sqrt(75) + 0)**2 + 0)*-3.\nAnswer: -400*sqrt(3) + 4602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -85, 15, 303, 779, 1443, 2295, 3335?\n\"Answer: 94*c**2 - 182*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 + 72. Let r(z) = -z. Let d(x) = 2*x**2 + 3*x. Let g = 10 - 6. Suppose 12 = g*p, -5*w + 2*p = -p + 4. Determine l*r(c) + w*d(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*w = 106, -5*w = -7*w. Suppose u - 2 = 2. Suppose 2 = l + 2*m, 5*m - u*m + c = 4*l. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 2. Let a = v - -9. Let b = 3.5 - 4. What is the third biggest value in -4, b, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 8 - 5963*h - 4 + 1700*h.\nAnswer: -4263*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 52.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4831*i**3 + 7*i**2 - 20*i + 3. Is g(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30234, 29414, 28594, 27774, 26954?\n\"Answer: -820*i + 31054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-63)\/(-42))\/(-1*2\/12). Which is the closest to 0.1? (a) u (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2734124?\nAnswer: 2, 167, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1562, 1607, 1688, 1811, 1982, 2207, 2492?\n\"Answer: v**3 + 12*v**2 + 2*v + 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1345 and 21195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1, 62, 381?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/7, 50\/7, -2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u. Let k(t) = t. Let h(i) = b(i) - k(i). Let w(y) = 14*y**2. Give h(w(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1548 and 54.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472955*h + 472955*h + 3781*h**3.\nAnswer: 3781*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - 3. Suppose 0 = 4*l - 17 - 3. Does 11 divide y(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrrl when four letters picked without replacement from {r: 11, l: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -3\/7, -362, 30 in descending order.\nAnswer: 30, -0.07, -3\/7, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.83 - 0.03. Let p = b + -5.8. Sort 0.2, p, 3 in descending order.\nAnswer: 3, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328618?\nAnswer: 2, 164309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/37, -0.3, 0.2 in decreasing order.\nAnswer: 0.2, 2\/37, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2498 - -3650. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 0 + -3 + (sqrt(891) - (-1 + sqrt(891))) + -5)*4 + -5 + -2 + sqrt(891) + sqrt(891) + 0 + 0 + sqrt(891)*-1 + sqrt(891))**2.\nAnswer: -3780*sqrt(11) + 33301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.42 - -0.4. Let v = 3.98 - b. Let i be (0 + 0)*(7 + -6). What is the closest to i in -2, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 124*u**2. Let m(k) = -36*k + 14. Let f(l) = 5*l - 2. Let h(i) = -21*f(i) - 3*m(i). What is h(r(o))?\nAnswer: 372*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 54*w. Let q(j) = -9*j. Determine g(q(a)).\nAnswer: 81*a**2 + 486*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8))\/(-5 - (-15)\/6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpzpzpppzppzppzpppp. Give prob of picking 1 p and 2 z.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (16 + -6 + -4)*(0 + (-2)\/(-3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.031.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y = -15. Let p(s) = 19*s - 38. Let b(q) = -11*q + 22. Let j(u) = 7*b(u) + 4*p(u). What is j(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from izeyiyiyizxzi.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28119?\nAnswer: 3, 7, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 16*d**2 + 10*d + 9. Let g be u(-12). Let j be (4\/((-20)\/3))\/((-2)\/20). Suppose -j*q + q = -g. What are the prime factors of q?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1047 or -22010\/21?\nAnswer: -22010\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 54\/(-15) - 6940\/(-150). Let u = s - 557\/12. What is the nearest to -1\/4 in -2, 1\/5, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**2 - 52421995*n + 52422000 = 0.\nAnswer: -10484400, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 456?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 3*f + 6. Let v be g(3). Is 160\/2*(-6)\/v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) -1 (c) 1 (d) 150 (e) -30\/7 (f) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + (1*sqrt(1300) + sqrt(1300) - sqrt(1300)) + -2 + (-2*sqrt(1300) + sqrt(1300) + -4 - sqrt(1300)) + (0 + sqrt(1300) + sqrt(1300))*-5)*-1)**2.\nAnswer: 1540*sqrt(13) + 157349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**2 - 6396 + 12569 - 6308 + 20*v**6 + 2*v**3 - 6*v**3 + 8*v**4 + 3*v**4 wrt v?\nAnswer: 2400*v**3 + 264*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.72416 to two dps.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 - 268409*k**3 + 1252529*k**2 - 1699843*k + 715720 = 0. Calculate k.\nAnswer: 1, 8\/3, 89465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*f - 78*f + 96 = 90*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -18851031.\nAnswer: 2\/18851031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k + 6*k - 3*k + 75*k**2 - 11 + 10 wrt k.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24788, 24794, 24800, 24806?\nAnswer: 24812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(1\/6)*(p*p**(1\/3)*p)**(-2\/23) assuming p is positive.\nAnswer: p**(-5\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, v: 2, z: 2, a: 2, t: 1, m: 1}. What is prob of sequence cc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 126?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -52.36. Let z = 0.54 - a. Is z less than 1\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/10)\/(-6))\/(2\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 - 6*v + 3. Suppose -f - 2*l = 1 - 5, -5*l = -25. Let m(b) = 6*b**3 - 17*b + 9. What is f*m(p) + 17*q(p)?\nAnswer: -2*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)\/(sqrt(22)\/sqrt(2)) - sqrt(36))*-1)\/((sqrt(352)*-6)\/sqrt(11)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4 = 3*y, -2*o = 3*y - 4*o + 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.032 - -0.032. Let g = w + 3. Let q = -2.97 + 3. Which is the smallest value? (a) g (b) q (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 14*a + 25877. Determine c(-156).\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 159358 = -22*i + 2*i. Is i a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*u**2 + 7*u - 7*u + u**3)*(137*u**2 + 31886*u - 31886*u).\nAnswer: 137*u**5 - 2466*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431434, -431432, -431430, -431428, -431426, -431424?\nAnswer: -431422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61588661 to the power of 1\/3, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 12. Suppose -2*j + 28 = -j - 4*w, 0 = -j + u*w + 32. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a millennium in years?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26358335797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 444? (a) -7 (b) 0.5 (c) -0.4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 12*s**3 - 6*s + 6. What are the prime factors of b(4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a second in milliseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 4, -25, -3, 2, -111066 in decreasing order.\nAnswer: 4, 3, 2, 1, -3, -25, -111066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7905 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2428890 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -659475 (base 10) to base 5.\nAnswer: -132100400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4506*j - 2 + 2 + 4871*j - j - 1 + 1 + (1 + 2 - 1)*(j + 2*j - j) to the form f*j + v and give f.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 + 48*r**2 + 3*r + 4. Let z be w(24). Calculate the highest common factor of z and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 824 - 560. Calculate the lowest common multiple of 168 and m.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2 - (5 - 11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 13 = f, 4*f = -u + 4*u + 128. What is the remainder when f is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57480 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, 21, 6, -47, -156, -339, -614, -999?\n\"Answer: -3*y**3 + 8*y**2 + 2*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/25)\/b)\/(b\/b**(-5)) assuming b is positive.\nAnswer: b**(-152\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3438349.\nAnswer: 3438349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i - 28 = -29*i. Suppose 3*w - i = 13. Solve -5*b = 2*d + 23, 4*b - 5*d + 1 = w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96958.\nAnswer: 2, 48479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40.3 and 0.59.\nAnswer: 40.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4795)\/774 - ((6 - 2) + -1 - 9) and -5\/344.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 5*i**2 + i - 4. Let a be h(5). What is the tens digit of 100\/((a - 0) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1989563, -1989565, -1989567, -1989569, -1989571, -1989573?\nAnswer: -1989575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + d - 23 = -2*d, f + 5*d = 27. Let u(x) = x - 3*x**2 + 6*x**2 - 2*x**f. List the prime factors of u(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99522905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 124 - 138 + 0*d - 2*d. Let g be r(-8). Solve -v - 3 = g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 13, j: 3}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**2 + 143*j + 167. Determine w(-6).\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 441033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**4\/4 + 10*z. Let u(t) = 6*t. Give y(u(l)).\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 3 - 1)*-1. Let s be 4 + 0 - (-2)\/c. Suppose z + 1 = 3*t - 4, s*t - 10 = -4*z. Solve 3*w = -4*o + 17, -w = 2*w - t*o + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11528957.\nAnswer: 11, 23, 45569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) + 44\/(-3). Let h = w + 15. Solve 5 = r, -v - 3*r + 0*r + 12 = h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 14*u**2 - 3*u - 6. Let w be ((-3)\/(-1))\/((-6)\/28). Does 18 divide l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85288 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = k + 3*u - 102, -5*k + 4*u = -205. Calculate the highest common divisor of 27 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(2*j**2 - 3 + 3) - 358938 + 358938 - 486*j**2)*(4 - 6 + 0).\nAnswer: 968*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 34*r + 1012. Calculate b(-30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 0 - 2*x + 2 + x + 7. Give m(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -f - 3*b, 1 - 21 = 5*b. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91635601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + (-3 + (sqrt(245) - (-2 + sqrt(245) - sqrt(245))) - (-1 + sqrt(245) + -1)))*-6)**2.\nAnswer: 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(-2) - (42\/12 - 2). Sort -3, s, -4 in ascending order.\nAnswer: -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/913924 and 59\/110.\nAnswer: 4569620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -590*c + 1211. What is the remainder when x(-6) is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-36*(-2 + 1). Let q be 531\/(-21) - (-2)\/7. Let u = w + q. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -732678, -1465351, -2198024, -2930697?\n\"Answer: -732673*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18779\/(-267) + 71)*((-9)\/(-21) + 0).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) -0.2 (c) -4\/11 (d) -2\/152941\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-484)\/16) - (-517)\/(-242)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 173, 0.16, 3.\nAnswer: 0.16, 0.2, 3, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -157, -285, -415, -547?\n\"Answer: -y**2 - 125*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 9*c**2 - 3353*c + 39302. Determine h(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**4 - 408*z**3 + 35103*z**2 - 34692*z = 0.\nAnswer: -196, 0, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (576\/30)\/((-3)\/(-10)). Let d = m - 43. Solve 4*u - d = -1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9155 - 2?\nAnswer: 9153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 42*k - 32. Let w be x(22). Solve 0 = w*u - 2 + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 + 7087*h - 7087*h - 1 + h**2 - 5*h**2 + 3*h**3 as q*h**2 + d*h**3 + u + p*h and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (60\/25)\/((-12)\/(-40)) and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -2, -276, -4 in decreasing order.\nAnswer: 8, 3, -2, -4, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*v**3 - 16*v**4 - 20*v - 52*v**2 - 4 + 24*v**3 + 44*v.\nAnswer: -4*(v - 1)**2*(2*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 8717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 102.09 at least 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5185 divided by -1037?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161328, -161314, -161284, -161238?\nAnswer: -161176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 8*g**6\/5 + 53*g**4\/12 - 3*g - 162. Find the third derivative of c(s) wrt s.\nAnswer: 1152*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r\/(r\/(r*r**(-12)*r)))\/r))**(-24) assuming r is positive.\nAnswer: r**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-11 - ((-1458)\/(-324))\/(6\/(-76)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3\/8, 1\/2, 2\/13, -208?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 16*j + 72. Let f(c) = -2*c - 9. Let d(r) = 51*f(r) + 6*s(r). What is the remainder when 24 is divided by d(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15510571 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**5 + 75*l**4 + 70*l**3.\nAnswer: 5*l**3*(l + 1)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*y**2 - y + 0*y + y as r*y + f*y**2 + j and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, 659, -2, 5, -0.04 in descending order.\nAnswer: 659, 5, -0.04, -2, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22391, 22290, 22189, 22088?\nAnswer: 21987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/49934056 and -49\/212219738?\nAnswer: 848878952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**2*q*q**(-5)*q*q**(2\/15)\/q**(-1\/2) assuming q is positive.\nAnswer: q**(-11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + g + 14, -2*g = -6*g. Let t be y\/(-6) + (-4)\/6. What is the closest to -2\/5 in 0.1, -2, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*s - 687 + 469 = -1663 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 238072877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 29. Is 26 a factor of 13*2 - 0 - (r - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5209754393?\nAnswer: 157, 33183149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 2656 in descending order.\nAnswer: 2656, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 183 and 6655598?\nAnswer: 1217974434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**3 + 15*m**2 - 17*m - 6. Let v(j) = 3*j**3 - 7*j**2 + 8*j + 3. Let i(a) = -4*r(a) - 9*v(a). Calculate i(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182834.\nAnswer: 2, 113, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. What is the third derivative of 6*f**2 - 4*f**2 + f**5 + t*f**2 wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 2)\/((-11)\/(-2189)). Suppose 3*d - b = -k, -3*d + 4*k + 309 = 2*d. Let n = d + -28. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbp when three letters picked without replacement from {y: 1, p: 2, n: 3, b: 4, s: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 - 18 + 228 = 306*v - 27 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 217*q**2 - 2158*q - 142. Determine o(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3388*y - 11640 = 3364*y. What is the highest common divisor of 20 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 6*w**2 - 7*w + 9. Let f be y(4). Let r = 2 - f. Let a be 2\/r + 24\/(-231). Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 10*t**2 - 5*t + 5. Let v be o(10). Let p be v\/9 - (-3 + 0). Sort -3, p, 11 in decreasing order.\nAnswer: 11, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 3*m**2 - 6*m - 5. Let x be c(5). Is (10\/x)\/((-4)\/(-894)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q**2. Let v(d) = 184278*d. Determine v(b(t)).\nAnswer: -1658502*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/9 + 34*r**2 + 628*r\/9.\nAnswer: -2*r*(r + 2)*(2*r - 157)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*m**2 - 6816*f**2*m - 8*f**2 + 2*f*m**2 + 2*f*m - 3*f - 52*m**2 - 7 wrt f?\nAnswer: 2*m**2 - 13632*m - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 56*o**2 - 419*o + 29. Calculate v(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence biql when four letters picked without replacement from qqldqqlblblqqil?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y = 0. Suppose q = 5*r, -3*q - 2*q - 2*r + 27 = y. Solve -2*a = -a - q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 166 - 135 = -3*s, 2*s + 4*i = 194. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6945778?\nAnswer: 2, 7, 496127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 586138 (base 12) to base 6\nAnswer: 50240512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32691078 to the power of 1\/2, to the nearest integer?\nAnswer: 5718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27926 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-1)\/5) - -9. Suppose -3*g + 6*g - 174 = 3*w, -r*g - 5*w = -277. What is the smallest common multiple of g and 4?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 6:47 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-40))\/((-1793)\/978).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6a1544 (base 11) to base 12\nAnswer: -4590b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 285589496*n*r**3*x**3 - n*r**2*x - 15*n*r*x**3 - 2*n*x**3 - 7*r**2 + 184700*r*x wrt r.\nAnswer: 1713536976*n*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 2)*-5 + 0 + -6*sqrt(170)\/sqrt(10) + (5 + sqrt(1377))**2.\nAnswer: 69*sqrt(17) + 1392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 110253, -39 in decreasing order.\nAnswer: 110253, 1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 15) to base 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c**3 + 5*c**2 + 5*c + 10. What are the prime factors of a(-6)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 14*h**2 + 24*h + 23. Let z be 3\/15 - 177\/(-15). Let r be q(z). Solve 3*b + 4*i = -r, -19 = 3*b + i + i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 404?\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 3. Sort l, 0, 3 in ascending order.\nAnswer: 0, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1310109335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 324?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -599512694 divided by 24841.\nAnswer: -24134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11211 (base 5) in base 13?\nAnswer: 4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 2.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 49*r + 294. Calculate t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 3) to base 14.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five quarters of a millennium?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 470794893.3 to the nearest 10000.\nAnswer: 470790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -30.32 * -44\nAnswer: 1334.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -354060 - 2\nAnswer: -354062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -2\/5, 0.05, 20, -1\/4 in descending order.\nAnswer: 67, 20, 0.05, -1\/4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -191*t + 189*t + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 1 + 84*k + 1 - 90*k. Let o = -15 - -12. Determine j(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 38. Suppose -5*q = -2*v - z*v - 51, 0 = 5*q + 5. Let c = v - -16. Solve a = 4*j - 2*j - c, 3*a + 5*j + 17 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 2*i + 4. Let p(l) = l**2 - 30*l + 56. Let j be p(2). What is y(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85742.787 rounded to the nearest one thousand?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (10 - 16)) + (10 - 7) + 43?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**3 + w - 26*w**3 - 5*w**3 + 25*w**3 - w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hdhdhddhhhhhhhhhhdd.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 9 = -d, -5*d - 1182*g = -1185*g + 6. Let j(h) = -19*h**3 - 4*h**2 - 4*h + 4. Let i(f) = -19*f**3 - 3*f**2 - 3*f + 3. Calculate d*j(o) + 4*i(o).\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -25*f + 499. Let w be b(19). Sort w, 4, -5.\nAnswer: -5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 0.9951 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7306614331?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/30*((-16)\/(-20))\/(64\/120)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 169*s**2\/6 - 26*s + 6.\nAnswer: (13*s - 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-28) - (-113319562)\/8. Suppose 2*l = v + 1835055. Round l to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 11:54 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1502722 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13337 + 266807\/20. Calculate the common denominator of r and 97\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-968)\/(-33) + -30)*(0 - (-2)\/5)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**2 - 21*v**2 + 5*v**2 + 3*v**2 + 7*v**2 - 3*v**2.\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g + 4*h + 14 = 0, 0 = -5*g + 5*h + 20. Suppose -7*l + 8*l - 319 = 5*m, -1664 = -5*l + g*m. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**2 - 5*h**2 + 2 - 11*h**2 - 15*h**2.\nAnswer: -21*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -22*i + 227. Let v be b(10). Suppose v*h + 503 = 12*h - n, -4*n = h - 109. List the prime factors of h.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) -34 (b) -18\/11 (c) -4 (d) 2\/7 (e) 7\/30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + o - 3*j - 11, -21 = o + 5*j. Let c be (o + 1)\/(2 + -1). Suppose -c*v + 168 = v. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(1216))**2 + (-3*1*sqrt(1216))**2 + -4.\nAnswer: 30396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -y, -4*u - 3 = -5*y - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 81 - 38 + 3*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/48 - ((-3)\/(-40))\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/25*(-175)\/(-280).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 8*m**2 - 3*m - 2. Suppose 7 = 2*o - 9. Suppose -1 - o = 3*i. What are the prime factors of f(i)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 18 = 2*x. Let d(t) = -5*t - 3. Let l be d(-5). Let w = l + 2. What is the remainder when w is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-432)\/(-96)*((-76)\/84 - -1). Let h be 3 - (2 + 0)\/(-1). What is the third smallest value in -0.05, w, h, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from {k: 2, h: 7, l: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 2*c + 8. Suppose 3*p - 29 = -c*b, 0 = 5*p + 4*b - 17 - 34. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 873 = 16*y + 47*s, 207*y - 211*y = -2*s - 54 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 1.3\nAnswer: -36.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13170.32 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4026\/(-564))\/11*(-2)\/2 and 21\/10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 12 = -5*i. Suppose i*o - 9922 + 3148 = 0. Suppose 1737 - 605 = 2*q - 3*x, -3*x - o = -4*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115.43 * -0.7.\nAnswer: -80.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15861160?\nAnswer: 2, 5, 7, 37, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2. Let f(m) = -2*m**2 - 28527470*m + 1. Give f(p(o)).\nAnswer: -2*o**4 + 28527470*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 105423907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 c, and 1 r when four letters picked without replacement from {r: 3, x: 2, k: 3, h: 2, b: 1, c: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/4)\/((-1)\/8). Find the common denominator of 2842\/560 - (-2)\/15 and x*(1 + (-23)\/4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 1:50 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3719794 and 2002966.\nAnswer: 26038558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 1. Let k(a) = a + 6. Let o be k(-4). Let n(u) be the first derivative of u + 1. What is o*g(t) + 2*n(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*r + r = 2, -2*s + 3*r = 6. Let p(u) = u + 120000. Let y be p(s). What is y rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 30*t**2 - 206*t - 346. Give x(36).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342658133 to the power of 1\/2, to the nearest integer?\nAnswer: 36642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f - 20 = 3*v + 61*f - 34*f, 10 = 2*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 10:50 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-140)\/10 - 312\/288*-16. Factor 1\/3*y**2 - y - c.\nAnswer: (y - 5)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15001313 rounded to 5 dps?\nAnswer: -0.15001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3248 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6365462 is divided by 443.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14193, -28347, -42501?\n\"Answer: -14154*p - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-314*v + 40*v - 6*v)*(3*v - 4*v - 2*v) in the form p*v + f + i*v**2 and give i.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4633*w**2 + 4633*w**2 + 4637*w**2 + 4638*w**2 - 18538*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7140 a factor of 2075901723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.7 - 4.7. Let x = 5 + -7. Let i be (-6)\/(-22) - (-9120)\/(-23760). Which is the nearest to x? (a) k (b) i (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewwwwwwwrwtwwewgw. Give prob of picking 1 g, 1 r, and 2 e.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, 2, -566 in descending order.\nAnswer: 8, 2, -3, -566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/25*-5 + 4. Suppose -w*j = 2*s - 67, 2*s + 3*j = j + 70. Calculate the greatest common factor of s and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 1:31 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3277 and 522.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*c + 46964*a**3 - 11*a**2*c - 194*a**2 + 2*a - 2*c - 3 wrt a?\nAnswer: -12*c + 281784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 743*s - 1908. Let y be b(21). Calculate the greatest common factor of y and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1240\/45483?\nAnswer: -1240\/45483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 201919, 202065, 202211?\n\"Answer: 146*m + 201773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -v + t, -v + 2*t = -0*v + 4. Suppose -4*m = v*p - 24, m + 4*p + p = 15. Factor 0*b**3 + 20*b - b**3 - 8 - 28*b**2 + m*b**3 + 12*b**2.\nAnswer: 4*(b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8588094, 8588093, 8588090, 8588085, 8588078, 8588069, 8588058?\nAnswer: 8588045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 25?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26\/201 - -634\/67. What is the closest to 0 in 0.5, 3, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - f + 12, 5*g - 21 = 245*f - 247*f. Let q be (2 - 2) + 8 + -2. Solve -g*l = -q - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y - 1688 = 256*y + 1702 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/12)\/(1\/3). Let m(h) = 6*h - 5*h + j + 2*h + 3*h**2. Is 11 a factor of m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1364, -5398, -12106, -21488, -33544?\nAnswer: -48274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2110, -3, 3, 712?\nAnswer: -2110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -199\/1320 and -43\/34638?\nAnswer: 7620360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 2*b - 6, 31*b = -3*j + 34*b - 18 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - a - 6 + 3*a)*(0*a - 5*a - 3*a) to r + h*a + j*a**2 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90287, -95930, -101573, -107216?\nAnswer: -112859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*c - 268. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**2 - 7*s + 2. Let d be 2 + (70\/15)\/(8\/(-12)). Let p(b) = -4*b**2 - 8*b + 2. Calculate d*p(k) + 6*f(k).\nAnswer: -4*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 - 178. What is the remainder when o is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 62 = 34. Let v(f) = -3*f + 3. Calculate the remainder when v(-6) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6249.\nAnswer: 3, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let m(p) = 0*p**2 - 5*p**2 - p**o. Let s = 14094 + -14090. Let b(j) = j**2. What is s*m(c) + 20*b(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702*l**2 + 707*l**2 - 3546*l**2 + 701*l**2 + 712*l**2 + 708*l**2.\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/14*(-8)\/(-42)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -50. Let s(g) = -1. Let c(k) = k**3 - 3*k**2 - 2. Let z(r) = d*s(r) + c(r). Let o be ((-4 - 36\/(-8))*-6)\/(-1). What is z(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*r = -2*n + 4, n + 3*r + 4 = 0. Find y such that -152*y**4 - 15*y**n - y**2 - 8*y**3 + 160*y**4 + 8 + 4*y**5 + 4*y = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(2 + 1045\/(-520)). Suppose 0 = -q*b + 194*b + 36554. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25090693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 216.2 + -216. Let s = 22.997 - -0.003. What is the closest to y in -5, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j - 1076 + 795 = -853 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 6:06 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4082 - 2.3869. What is n rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -7. Let k = 6.8 + h. Which is the third smallest value? (a) k (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t - 96 = -2*t. What is the hundreds digit of 4\/(14776\/4920 + t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-189)\/315 - (-19)\/(-10). Put 0.3, s, -18 in decreasing order.\nAnswer: 0.3, s, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 219*x + 1977. What is the remainder when 2253 is divided by h(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2\/9, 1, 14, 41 in decreasing order.\nAnswer: 41, 14, 1, 2\/11, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 168 = -183. Suppose 13*f = -v*f + 1026. What is the remainder when f is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.01 (c) 5 (d) 0.054\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*w - 17853 + 28*w + 32*w + 31*w.\nAnswer: 12*w - 17853","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -247*(-4)\/(-6)*3\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1221)\/10175)\/(3*-1)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199314 to the power of 1\/2, to the nearest integer?\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 1469 = 116*m - 260 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 + 1.0312986076?\nAnswer: 462.0312986076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*a**2 - 492*a - 79*a - 174*a**2 - 150*a**2 wrt a.\nAnswer: -778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.888142 rounded to 1 dp?\nAnswer: 93.9","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/724408 and -21\/17292320.\nAnswer: 536061920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4282683199 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n**2 + 8*n. Let o be a(-9). Suppose 3*u - 6*u = o. Is -193 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhffh. What is prob of picking 1 h and 1 f?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 195886869 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63101106 divided by 3.\nAnswer: -21033702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 127*q**8\/7 - 563*q**5\/30 - 17*q**2 - 141. What is the third derivative of v(z) wrt z?\nAnswer: 365760*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*j**2 - 32*j**2 - 25*j**2 - 38*j**3 + 42*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*c + 1)*(0*c**3 + c**3 - 3*c**3 + (2*c**2 - 2*c**2 - 2*c**2)*(c - 8*c + c)).\nAnswer: -20*c**4 + 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -716970 and -716970 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43\/115 - 3\/115. Let r = 29 - 96. Let l = -70 - r. Which is the nearest to 1\/3? (a) l (b) d (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(500) - -2*sqrt(500)))**2*-3 - (sqrt(7920) - (-1*sqrt(7920) - sqrt(7920) - sqrt(7920)))\/(sqrt(1100) - sqrt(1100)*-2).\nAnswer: -121500 - 8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjjc when four letters picked without replacement from {z: 7, c: 2, j: 5, h: 4}.\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from pdkdddpppikmpdk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 + 96*d + 60. Let c(k) = 3*k - 48. Let w be c(3). Is s(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81907, 81905, 81903?\nAnswer: 81901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 q when three letters picked without replacement from {y: 6, q: 1, n: 3, r: 1, x: 3}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 - -113. Suppose -3*b = -3*o - 6, -o + 5 = -m*b + 4*o. Calculate the highest common divisor of 15 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -2300311?\nAnswer: 2300244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -17*x**4\/2 + x**2 + 49*x + 6. Differentiate d(u) wrt u.\nAnswer: -102*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/620806 and 23\/5270.\nAnswer: 3104030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 584.3 + -584. Which is the nearest to -3\/13? (a) -5 (b) 0.5 (c) y (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 592 by -37.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4234 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by 26?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j + 0*j - 4*j. Let d be (1 + 15)*12\/16. Is p(d) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 203, 424, 707, 1034, 1387, 1748, 2099?\nAnswer: 2422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5609673?\nAnswer: 3, 29, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.021 times 43\nAnswer: -0.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, -2260, -4664, -7070, -9478, -11888, -14300?\nAnswer: -16714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1889 + 1151. List the prime factors of j\/3*(-7)\/21.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14432 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 54*u + 2400. Which is greater: u or -444\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1911 and 6321?\nAnswer: 82173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 10 = 2*p. Suppose -3*d + 7 = -p. Suppose 2*m = j + j - 8, 0 = 4*m + d. Solve 7*z - 16 = j*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 2*h**2 - 4*h**2)*(1 - 1 - h**3) - 288*h**5 + 17*h**5 - 98*h**5.\nAnswer: -365*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(17)*-3 + sqrt(17) + (sqrt(17) + -1)**2*-5.\nAnswer: -90 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*x + 390 = 61*x. Suppose -71 = -v - 2*a, 0*v = -2*v - 2*a + 144. Calculate the remainder when v is divided by x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7244 + 7249.193. Round y to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78211920 and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-5)\/20)\/((-1)\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 256 + 401. Let x = -58 - -143. Calculate the remainder when x is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69433060.000014 - -69433124. Let a = -511 - -447. Let f = q + a. What is f rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 374782.6 millilitres?\nAnswer: 374.7826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -289 at least as big as -79736\/277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 3*c**2 + 4*c - 4. Let h(v) = v**3 + 2*v**2 + 3*v - 3. Calculate 3*h(s) - 2*o(s).\nAnswer: -s**3 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 299710 to the power of 1\/2, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m - 7. Let j be h(4). Let l = j + 58. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*p - p = -40, -5*p = 2*a + 13. Let r = a + 7. Put 4, r, -4 in increasing order.\nAnswer: r, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + v**2 - 5*v - 1. Let c(y) = y**3 + y**2 + 6*y - 131. Determine c(g) + h(g).\nAnswer: 2*g**3 + 2*g**2 + g - 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 6.2025.\nAnswer: 0.62025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.062 + -10.4. Let z = w - -0.438. What is the closest to z in 2\/11, -0.06, -6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/3 + -1)*-12. Let t = 202 - j. Let h = -120 + t. What is the greatest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -2626\nAnswer: -5252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -690.85484 - -0.05484. Let r = 691 + w. Which is the biggest value? (a) -2\/13 (b) 1 (c) -3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 27 = -3*x - 972, n = -2*x + 192. What is the highest common factor of 126 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*b + 33*b + 31*b - 74*b**3.\nAnswer: -74*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 + d**2 + 2*d**2 - 2*d**2 + 3*d**2 - 2*d**2 + (-2*d**2 + 6*d**2 - 3*d**2)*(10 - 10 + 9).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4\/4 + 945*o**3\/4 - 73312*o**2 + 7903845*o - 108644944 = 0.\nAnswer: 16, 254, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 38362032?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - s + 30. Suppose -m = 3*c - 6, 3*m - 1 + 5 = 2*c. Is 8 a factor of r(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 714 and 63?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -12 + (0 - -7) + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2.93. Let n = -25 - -26. Which is the closest to n? (a) 5 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c - 54. Calculate t(0).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 180 = 3*n. Suppose 3*d + n = 111. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((738\/(-5220))\/(-41)). Solve -32*d - o = -90*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52537, -202787, -453207, -803797, -1254557?\n\"Answer: -50085*v**2 + 5*v - 2457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 2\/15, 0 in decreasing order.\nAnswer: 0.9, 2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 762*k**2 - 4576*k + 24 = 0. What is k?\nAnswer: 2\/381, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1.7, -3\/14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -18*t + 5*t + 57 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -513\/2 + 256. What is the closest to -1 in 5, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128780 = -22*i + 116*i. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 22*z**3 - 2*z**2 + 3*z + 1. Give b(2).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z. Suppose a = -z*a. Let t(v) = 3 - v + 0 + a*v. Calculate t(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -56. Let m = n - 24.5. Let i = 3 + -2.5. What is the closest to -1\/5 in i, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -108, 4, 0, -1 in descending order.\nAnswer: 4, 0, -1, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -61*i + 62*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -7419, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -17.29.\nAnswer: 34.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, 16, -1, -2\/5, -0.0248?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)*(-34)\/(-17). What is the third biggest value in -0.5, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, -200, 0.06584?\nAnswer: 0.06584","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 + -10 + 7 + -1 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-232)\/290 - (-1 + (-352)\/(-20)))\/(39\/(-65))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**2 - 15*o - 3. Let v(n) = -9*n**2 + 29*n + 7. Let i(r) = -7*j(r) - 4*v(r). Let q be i(12). Suppose 2*p = 7*p - q. Solve -p - 1 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*q**5 + 830*q**4 - 7170*q**3 - 7110*q**2 + 18616*q - 5160 = 0. What is q?\nAnswer: -2, 1\/3, 1, 10, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-14112)\/192*136\/204\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 1:00 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 + -2. Let g = -2 - 0. Which is the nearest to -1? (a) l (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88404*p + 88401*p + 88397*p + 88401*p + 88398*p - 442002*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 6*a - 32. Calculate the least common multiple of u(-9) and 20.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30311, -243322, -822159, -1949948, -3809815, -6584886, -10458287?\n\"Answer: -30521*d**3 + 213*d**2 - 3*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 + 3*a**4 - 3*a**4 + (2*a**3 + a**4 - 2*a**3)*(8 - 1 + 1).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) + 6*(1*sqrt(1400) + sqrt(1400)) - sqrt(1400))\/(sqrt(343)*-1 + sqrt(343) - (sqrt(7)*1*3 + sqrt(7))).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r - 7. Let b be p(3). Suppose 0 = b*i - 3*j - 2245, 3*j + j - 898 = -2*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*a + 5*d - 8*d, -2*a = d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 598 - 598 + 3082*r**3 - 3*r**3 - r**3 + 3*r**3 + r**3 + 3*r**2 - 3*r**2 + 5*r**3 - r**3 - 2*r**3 + (0*r + 5*r - 3*r)*(0 + r**2 + 0).\nAnswer: 3086*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -463 divided by 855839\nAnswer: -463\/855839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-10 - 3) + (15 - 25) + 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 463 = 1716. What are the prime factors of y?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + 5*m + 8. Determine r(-6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) 16 (c) 2\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-22)\/11 + (4442 - (1 + -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1054*0.84.\nAnswer: -885.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -2*z + 22, -5*z = -55597*w + 55596*w - 35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 662 - -10.84504.\nAnswer: 672.84504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + 6 + (0 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(19 + -6 - 31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 - 101. Let l(q) = 2*q**2 - 54*q - 3. Let r be l(h). Let z be (-45)\/r - (-5)\/1. Calculate the highest common divisor of z and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v = 114*v + 1320 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1017*1248\/13338 + (82\/38 - 2)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(450))\/sqrt(10))\/(-3*sqrt(1296)))**2.\nAnswer: 5\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 + 68539552*m**3 - 293604523851616*m**2 + 1174417272931968*m - 1174416998773824.\nAnswer: -4*(m - 8567442)**2*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**3 + 12*b**2 + 160*b - 336 = 0.\nAnswer: -6, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72444034 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10224.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 252754367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 10. Let q(c) = -c + 10. Let l(p) = -5*j(p) - 6*q(p). Let y be l(9). Let s be 5\/4 + 2\/(-8). Put -3, y, s in descending order.\nAnswer: s, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*t - 32, -2*t + 67 = 5*g - 5*t. Calculate the lowest common multiple of 6 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 732780 and 36018.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 36d?\nAnswer: 36a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*g - 32 = 0, -v = -2*v - g + 16. Suppose 3*t + v*t = 2160. Calculate the highest common divisor of t and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466409824?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -229.3 * 0.384\nAnswer: -88.0512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/896547 and -22\/1445783.\nAnswer: 160481913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r + 90 = -44*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5 - 0. Let c = 0.0353 - -165.7647. Let l = -165.4 + c. What is the fourth biggest value in -1\/5, i, l, -3\/10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l - 77. Let h be m(8). Suppose w - 8 = -v, -4*v + 3*w = -3*v. Suppose x = 1 - v. Sort x, h, 3\/7.\nAnswer: x, 3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - -0.0276. What is w rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**4\/4 - i**3 + i**2 + 11*i + 27. Let d be a(-3). Suppose 72 = d*b - 113. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32, -56, -74, -80, -68, -32?\n\"Answer: o**3 - 3*o**2 - 22*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -31*p - 5*p + 5*p. Sort -8, p, -116, 5 in descending order.\nAnswer: 5, p, -8, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42053784 divided by -204\nAnswer: 206146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2. Let v(m) = -m**3 - 2*m**2 - 2*m + 2. Let a be v(-3). Let s(z) = a - 17 - 2*z - 4*z. Give i(s(r)).\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 485175 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: 336\/(-128)*(-27 + 11)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v - 9*v - 3 + 6*v - 3*v. Calculate y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*w - 100 = -4*q, 208 = -2*q - 4*w. Let t = 56 + q. Let r = t - -65. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 500524, 500564, 500638, 500746, 500888, 501064?\nAnswer: 501274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10205 - 10188 - -971*4\/(-228).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 16*c - 12. Let z be j(-6). What is the greatest common factor of z and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52\/7 + -7. Which is smaller: -0.1 or d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vaga when four letters picked without replacement from avavagv.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.3 - 7. Let c = -7.9 + 8. Let r = c + u. What is the nearest to 0.1 in r, 2, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-209 - -9) + 179 - (-1 - -37)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/17))\/f**1)\/(f\/((f\/(f*((f\/((f\/((f**(2\/5)\/f)\/f))\/f))\/f)\/f))\/f)*f)**3)**(-1\/72) assuming f is positive.\nAnswer: f**(14\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -23. Suppose k*s = -0*s - 20. Let p(l) = 6*l + 6. Determine p(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 3*r - 3. What are the prime factors of a(-8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 f when three letters picked without replacement from {f: 6, h: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -35.705 and 1.4.\nAnswer: -34.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1061093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - o + 3*o - 2230, t - 2*o - 434 = 0. Let u = -226 + t. Let h = u - 3272\/15. Which is the biggest value? (a) -2 (b) h (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + 5. Let d(b) = 10*b**2 + 1105*b - 1296. Let g(t) = 4*c(t) + d(t). Differentiate g(i) with respect to i.\nAnswer: 4*i + 1105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/6 + (-77)\/(-462). Let x be 118\/4*(3 + -1). Suppose j*f + f - x = 4*r, -163 = -3*f + 5*r. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/246)\/((-103)\/16068*26)?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) 3 (c) -1\/2 (d) -5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7.6, 5, 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6490, 6487, 6482, 6475, 6466, 6455?\n\"Answer: -q**2 + 6491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12205 - -12215. Solve -2*u + 4 = -2*z + 7*z, 2*z = -5*u + q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*j - 159*u + 160*u, -4*j = u + 24 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**4\/4 + 4*g**3\/3 - 3*g**2\/2 + 3*g - 29. Let q be p(2). Solve 0 = -w + q*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**5 - 23478*t**3 - 34*t + 50542.\nAnswer: 20*t**3 - 140868*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 9876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*r + 9, 4*s + 10 + 14 = 4*r. Suppose 7 = 4*f - 9. Solve r*p = p - f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1322442023 (base 5) to base 16.\nAnswer: -32c713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2800 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359503?\nAnswer: 47, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 22*v**2 + 3*v - 1. Let r be s(2). Let q = 184 - r. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*p + 135*p + 284*p - 12270 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0032866 to 4 dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -11. Let c = -29 + f. Calculate the greatest common divisor of c and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x + 4*h, -3*x + h + 18 = -2*h. Suppose -x - 31 = -4*u. What is the smallest common multiple of 4 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v - 38 + 19 + 21. Determine b(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.18 + 0.88. Let f = i + -0.9. Let j be 14\/(-3150)*(-50)\/15. Is j at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7 (b) -2\/7 (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 - 2)*(3*k**2 + 0*k**2 - 2*k**2)*((0 + 1 + 1)*(1 - 4 + 1) + (0 - 2 + 1)*(4 + 0 - 1)) to the form z*k + u + x*k**2 and give x.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39454 and 0.05.\nAnswer: -1972.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 4. Suppose 5*o = -2*a + g*a + 175, -a - 137 = -4*o. Let w be 140\/o - 6\/51. Calculate the highest common factor of w and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - (88 + -34 - 18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 18*r + 2. Let k be u(-9). Differentiate -12*p**4 + 13 + p**k - 19 + 10*p**4 wrt p.\nAnswer: -8*p**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**30\/f)**(-36\/5) assuming f is positive.\nAnswer: f**(-1044\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 50*f**2 + 101*f + 166. Let n be g(52). Solve 0 = -n*t + 28 + 32 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 75 = 3*y - 14, -y + 3*s = -33. Let n = 52 + -50. What is the remainder when 47 is divided by -3 - (n*y)\/(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/3136 + 1215\/40768. Suppose -2*c = -7*c. Do z and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 - -5.7. Put n, -4, 3 in descending order.\nAnswer: n, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 176*i + 480 + 58\/3*i**2 + 2\/3*i**3 = 0. What is i?\nAnswer: -12, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3108616 (b) 5 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 15115.4991ms?\nAnswer: 0.00017494790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*j - 42*j + 13*j)*(-1 - 1 + 0).\nAnswer: 178*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 1. Let y(x) = -4. Let i(z) = -20*a(z) - 5*y(z). Let c(b) be the first derivative of 3*b**3 - 11453. Calculate i(c(k)).\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1480*b*n**3*u**3 - 2*b*n**3*u + 15*b*n**2*u + 11*n**3*u**2 - 443*n**3*u wrt u.\nAnswer: -8880*b*n**3*u + 22*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2 = -17. Suppose 7*y = k*y. Solve r + 2*v - v = -2, y = -2*r + 5*v - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c - 4*r = -12, -2*r = -10. Suppose 2*d = 6*d + c. Let n be (14\/(-6))\/((-15)\/(-9) + d). Calculate the highest common factor of 77 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 67\/60*n**5 - 30*n**2 + 0*n + 1\/120*n**6 + 61\/24*n**4 + 0*n**3 + 0. What is the second derivative of g(j) wrt j?\nAnswer: 6*j + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/40 and -27\/800?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0 + 0*q + q**2 + 0*q**3 + 1\/30*q**5 - 1\/120*q**6 + 0*q**4. Suppose r(v) = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.68398 days in minutes?\nAnswer: 18264.9312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(11 - 2 + 1 + 2*o).\nAnswer: -2*o - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + 0.37. Let i = 329 + -2951\/9. Let h = i - 16\/9. Which is the biggest value? (a) l (b) h (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -391*s - 85. Let p = 18 + -21. Let z(v) = -14*v - 3. Let j(n) = p*u(n) + 85*z(n). Let f(b) = 2*b**2. What is j(f(a))?\nAnswer: -34*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2634 is divided by 132?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 1, 1\/4, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 4, h: 6}. Give prob of picking 2 h and 1 s.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -1.3.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, 3\/11, -4?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 + 1447 = 7*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btth when four letters picked without replacement from bbhtbhbtb?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 754542728\/1001 + -753789. What is the common denominator of g and 31\/728?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 15 + 46. Let y = -19 - p. Let a(x) = x**2 - 9*x - 1. Is a(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*x - 11 = -s - 68*x, -4*s - 5*x = -16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6156 = -143*v + 49*v + 37*v for v.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 - 6*u - 2. Suppose -p = -i - 6, p = 6*p + i. Let f(j) = -6*j**3 - j**2 + 2*j - 1. Let x be f(p). Is r(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11223708, -11223724, -11223740, -11223756, -11223772, -11223788?\nAnswer: -11223804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -85 + 103 + (-114522)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/17*b**3 + 128\/17*b - 192\/17 - 28\/17*b**2.\nAnswer: 2*(b - 6)*(b - 4)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**2 + 12*p**2 + 2*p**2 + 16*p**2 to f*p + h*p**2 + q and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2034540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 11:52 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:23 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/2 - 19*v**3\/3 + 2*v**2 + 4*v + 34. Let t(q) = -q**3 - q**2 + q - 1. Let a(r) = -3*t(r) - y(r). Is 9 a factor of a(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/5, 0.09, 0.1, -0.22 in increasing order.\nAnswer: -0.3, -0.22, 0.09, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5*p + 12 - 132, 145 = 5*s - 5*p. Let q be 1\/(-1) - (-21)\/1. Let h = s - q. Let r(w) = w + 1. Determine r(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2020 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475105781?\nAnswer: 1949, 243769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*4\/(-30) + (-93216192)\/(-13185). Calculate the highest common factor of d and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(2)*-5)\/(5*(2*sqrt(2) + sqrt(2)) + sqrt(2)) + 1*(0 + sqrt(208) + -2).\nAnswer: -2 + 59*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.42 - -22.40885. What is n rounded to 4 dps?\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53941*q - 107892*q + 53949*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 743993*f**2 - 8927772*f.\nAnswer: -f*(f - 743981)*(f - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2428 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-5))\/c*c)\/(c\/((((c*c\/(c*c**(1\/7)\/c)*c)\/c)\/c)\/c)))\/((c\/c**5)\/((c\/c**1)\/c)) assuming c is positive.\nAnswer: c**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*r + 18. Let t be 1*(0 + -3 + r). Solve 2*j - 3*j + 1 = t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 2:15 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 865 - -1620. Find the second derivative of 12*x + t*x**2 - 2420*x**2 + 30*x wrt x.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + 11. Let c be y(3). Suppose 14 = 9*g - c*g. Factor u**2 + 18*u - 20*u - 3 + 0*u**g.\nAnswer: (u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1636 - -1658. What is the smallest common multiple of i and 1991?\nAnswer: 3982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2.7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -976 + 1709. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 3288581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-31)*d\/d**19*d*(d*((d\/(d**(-7\/3)\/d))\/d*d)\/d)**(-4\/5) assuming d is positive.\nAnswer: d**(-757\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-406)\/(-110) + 3*6\/45 and (-14)\/(-36)*(-231)\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 21*k. Let y(u) = -166 - 2*u + 166. Calculate h(y(q)).\nAnswer: 8*q**2 + 42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -4*p + 2*n, 226*n - 17 = -5*p + 214*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1093 and -1095 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1050409*l + 11554504. Give m(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/7)\/y**(-2\/15))\/(y**(2\/9)*y)**(-1\/5) assuming y is positive.\nAnswer: y**(-16\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*f - 857*f = 1290*f + 50*f - 195940 for f.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 + (0 - 2)\/(-2)*0. Let l(z) = -3*z**2 + 15*z + 10. Let t(v) = 2*v**2 - 5*v - 1. Let n(y) = l(y) + t(y). What is n(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 344 - 345. Find the common denominator of -4 - j - (275\/270 + -6) and -41\/63.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-19))\/(605336\/169138)\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**3 + f - 1. Let y be m(1). Suppose 0 = 2*v + y*v - 95. Suppose 2*g - 36 = -2*j, -2*j + 3*g = -12 - v. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 - -136. Solve b - t = 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v + 3*v)*(4*v**4 - 3*v**4 + 7*v**4 + (0*v**2 + 2*v**2 - 4*v**2)*(-2*v**2 + 46 - 46)).\nAnswer: 24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1110649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 391.9927 decades to years.\nAnswer: 3919.927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 210272 + -40845. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**2 - i - 1. Let n(c) = 3*c**2 + c + 1. Suppose -l + 9 = 2*l. Let h(k) = -k**3 + 2*k**2 - 427*k + 3802. Let o be h(8). What is l*n(a) + o*b(a)?\nAnswer: a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 4, -772 in ascending order.\nAnswer: -772, -8, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 - g**2. Let o be m(-1). Suppose -o*l = 3*l. Suppose -5*r - 14 = x, 5*r + l*x + 2*x + 13 = 0. Which is greater: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, l: 2}. What is prob of sequence gg?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - g + g + (-6 - 3 + 1)*(2*g + 2*g - 6*g)*(2 - 2 + 4)*(0 + 0 + g)*(-2 + 0 + 0).\nAnswer: -126*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5\/f)**(3\/2))**(-46) assuming f is positive.\nAnswer: f**(-276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -r + 11. Let a be 2\/4*(0 + 0). Let w(z) = z + 37. Calculate the remainder when w(a) is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 30*u**2 - 3645*u + 7130.\nAnswer: 5*(u - 23)*(u - 2)*(u + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 20\/(-36))\/((-153)\/(-27) + -7)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*i + 16*i - 6*i**2)*(-55 + 55 + 2*i) to the form h*i**3 + g*i**2 + v*i + q and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/307 - -253\/2763. Let w(m) be the first derivative of -p*m**3 + 2\/3*m**2 - 4\/3*m + 1. Find i such that w(i) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -21*s**4 + 22*s**3 + 144*s**2 - 966. Let n(y) = 4*y**4 - 4*y**3 - 29*y**2 + 193. Let l(q) = 11*n(q) + 2*u(q). Differentiate l(k) wrt k.\nAnswer: 8*k**3 - 62*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z - 6*z**2 - 7*z)*(11 + 3 - 7).\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 16*q**2 + 19*q + 35. Let j be o(-7). Let h(b) = -b**2 + 3*b + 8. Let a be h(j). Calculate the highest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/4 + 87\/28. Is -1 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-70))\/(6\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.044 * -0.7.\nAnswer: -0.0308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 332, 49 in increasing order.\nAnswer: 1, 49, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1758 is divided by (-5680)\/(-40) - (-56)\/8.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*f*w**3 + f*w*x - 67*f*w + 68*f*x - 4*w**3*x + 625338*w**2*x - 3*x wrt f.\nAnswer: 15*w**3 + w*x - 67*w + 68*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 5*o**2 - o**2)*(-2*o + 6*o - 2*o) - 1002*o**3 + 15*o**2 + 502*o**3 + 505*o**3.\nAnswer: 11*o**3 + 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4 - 26*n**2 + 81*n**2 - 2*n**3 + 4*n**3 - 35*n**2. Let h be k(-10). Solve 0 = p + 3, 4*q + h*p + 0 - 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 - 5.08. Let d = i + 3. Let y = d - 1. What is the smallest value in 0.6, y, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21331 = -4*o + 5*r, -4*o - 3*r = -26461 + 5122. List the prime factors of o.\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 1 - 1)*(-3 - 1 + 1).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d**2 + 59329656*d - 59329656*d.\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 965 = -955 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2813588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14 - 14)*7\/28. Solve 5*l - 4*c - 1 = n, 10*c + 2 = 12*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56\/4815 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -842*s - 9887. Let x be z(-12). Let j be 2\/8 - (-123)\/4. Calculate the greatest common factor of x and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4562 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*r + 15 = 165*r. Is r at least -27\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 37818 = -6*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7544 divided by -2\nAnswer: 3772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*n**2 + 4*n**2 + n**2)*(0*n - n - 2*n) - 3*n**3 - n**3 + 2*n**3)*(n**2 - n**2 + n**2).\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*r + 1314721*r**2 + 0*r**4 + r**3 + 2 - 1314723*r**2 + 19*r + 2*r**4 to l*r**3 + b*r**4 + g + m*r + y*r**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -3*y**5\/10 + 5*y**4\/4 - y**3\/6 - 3*y**2\/2 + 70. Factor m(j).\nAnswer: -j*(j - 3)*(j - 1)*(3*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 1628035?\nAnswer: -1628031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 12) to base 5\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 4*q**3 + 2*q - 8 - 8 + 9*q**2 - 2*q**3. Let o be d(-11). Is (12\/(-7))\/(8\/o) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 4 + 9 + 1 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 8*a + 93, 190*a + 26 = 7*p - 195*a + 382*a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -849 - -844. Which is the third biggest value? (a) 2 (b) p (c) -2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j + 1. Let z be (j\/(-3))\/((-13)\/78). Put 0, -5, z in decreasing order.\nAnswer: z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*o + 4 = 0, -2*b = -0*b + o - 9. Let i be (-1)\/b*0\/(-1). Suppose 3*z + i*z = 0. Which is greater: z or -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 868 = -5*w + 10*r, 5*w = -r + 883. Let s = -174 + w. Factor 2*q**3 + s*q**4 + 0*q + 0 + 2\/3*q**2 + 2\/3*q**5.\nAnswer: 2*q**2*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**4 - 3*b**4 - b**4 + (-8 - 2*b**4 + 8)*(3 + 2 - 6 + (2 - 2 - 1)*(3 + 1 - 3) + 3 - 1 - 4 - 1 + 0 + 3).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f82 - -1f?\nAnswer: -f63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.141638 + 177.63.\nAnswer: 177.771638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -80674*i + 97851. Let r(p) = 193*p - 234. Let g(a) = 6*q(a) + 2509*r(a). Let w(o) = -3*o**2. What is w(g(n))?\nAnswer: -111747*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-13 + 0 - -12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3279442771?\nAnswer: 11, 283, 1053467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 87*n**2 - 1603*n - 9592. Determine x(-6).\nAnswer: 3158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 5) + -3 + (20*1141 - 2) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -0.039, 121?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 99037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 7, -3\/4, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i**3 - 27036*i**2 + 108096*i\/5 - 21616\/5 = 0. What is i?\nAnswer: 2\/5, 1351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**12*n\/((n*n\/n**(2\/49)*n)\/n))**(-3\/5) assuming n is positive.\nAnswer: n**(1758\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beb when three letters picked without replacement from eebbeebelb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000061412 to 7 dps.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.25 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 186?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.5383 to 1 decimal place.\nAnswer: -17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52473170.\nAnswer: 2, 5, 491, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2098734 divided by 699578.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 343325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 19*s**2 - 192*s**2 + 0*s to the form v*s**2 + r + i*s and give v.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 111201?\nAnswer: 111220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**3 - 5*i**2 - 8*i - 3. Let s(o) = -o**3 + o**2 - 1. Let f(a) = m(a) - 5*s(a). Let w be f(6). Round w to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - j - 9. Give y(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7830\/19 - 412. Suppose -h = -0 - 1. Is t > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 902.1075mm?\nAnswer: 0.0009021075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.17 + 10.1. Let m = r + 0.06973. Round m to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001100011100001000000 - 1?\nAnswer: -1001001100011100001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2835 and 840.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 102 - -1?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 434197574443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118745323 to the nearest integer?\nAnswer: 10897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -84, -178, -322, -522, -784?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.39303 + -0.19303. Sort 5, z, -4, -2\/11, 0.2 in descending order.\nAnswer: z, 5, 0.2, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 24*j**2 - 2*j - 3 - 23*j**2 + 3. What is q(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z + 32. Calculate w(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/6*-1*8. Let a be z\/(-6)*6\/(-5). Solve 0 = -j + a*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1238 - 572. Let j = v + -783.9. Let i = j + 118. Which is the third smallest value? (a) -0.13 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6860730 greater than 6860730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718433*d**2 + 21 + 8*d**3 - 21 + 718662*d**2.\nAnswer: 8*d**3 + 229*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -343701?\nAnswer: -3436c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*(f\/(f*f**0))\/f)\/f)**(-48)*(f\/(f\/(f*f**1*f)))**(-2) assuming f is positive.\nAnswer: f**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05184 - -1.00032. Round j to two decimal places.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -402517*z**3\/6 - 268345*z**2\/2 - z\/3 = 0.\nAnswer: -2, -1\/402517, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 18*o + 14. Let d be p(-8). Calculate the greatest common factor of d and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2599 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.54? (a) -0.4 (b) -0.3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -0.2, 0.28, -0.06 in descending order.\nAnswer: 0.28, -0.06, -0.2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 6:02 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.6 + 0.6. Let n = 6 + -6.1. What is the closest to z in 3, 1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -169 + 6*a**2 + 169 + 2*a in the form c*a + d + o*a**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182 - 4*h + 182 - h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a hour in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 13*m + 209. Let d be a(-39). Let r = d + 837. Suppose q = -v + 63, 4*q + 6*v - 248 = 4*v. What is the remainder when q is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5444 (base 6) to base 5\nAnswer: 20002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8541 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.2 less than or equal to -1037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = k. Let r(v) = v**2 - v - 1. Let d(g) = 6*g**2 - 5*g - 8. Let t(x) = k*d(x) - 5*r(x). What is the derivative of t(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, b: 3, t: 1, r: 2, e: 4}. What is prob of picking 1 r, 1 u, and 1 b?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 170\/1445 - 18\/170. Sort -0.2, k, 0.\nAnswer: -0.2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 214176.8.\nAnswer: 856707.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 18 = 4*a, -5*w = -0*w + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/8 - 21\/(-28). Let m be (2 - (7 + -4)) + s. Which is the nearest to -0.2? (a) -2 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -13*m + 10*m - 51, 110*s - 1760 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*q**2\/15 + 1702*q\/15 + 374\/5 = 0.\nAnswer: -33\/52, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 8*o + 30. Let m = 17 + o. Find the third derivative of z**m + 14*z**5 - 11*z**5 + 5*z**2 wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 - 4) + (4 - 60\/(6\/1)). Sort u, -5, -2413.\nAnswer: -2413, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*d + 38 + 4 = 0, -79 = -5*c + 4*d. Suppose -4*n = -n + c. What are the prime factors of n\/(-2)*8\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -52*g - 1612. Let p be f(-31). Solve -10*c + 4*c - 6 = p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**2 + 3*p + 10. Let r(k) = -4*k**2 + 3*k + 9. Give 5*g(x) - 6*r(x).\nAnswer: -x**2 - 3*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 3. Let q be m(0). Solve -16 = -q*n - n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - 1) + 8 + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1287*s**3 + 14*s**2 - 14*s - 14. Let o(j) = 2575*j**3 + 30*j**2 - 30*j - 30. Give 15*k(t) - 7*o(t).\nAnswer: 1280*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 12208\/98921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6411*o + 408 = 6419*o. Suppose 0 = 3*w - 6*w - 129. Let k = o + w. Which is bigger: k or 38\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 4*r. Suppose 0 = 4*i + 3*i + 21. Let p(k) = -3*k. Give i*h(m) + 4*p(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1692136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*(-4 + 1116\/162)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22250000 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8510\/(-333) - -24)*-18 + 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376616?\nAnswer: 2, 179, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (69 + (-9 - -4) - (-52 - -33)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-2)\/(-6)*-79. Let f(y) = y**3 - 4*y**2 + 6*y - 27. Let w be f(6). Let r = w - n. Solve 0 = -v + 3 - r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y - 280 = -48*y. Suppose s + q = 3830, -q + 11 = y. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1, 3, 2\/497?\nAnswer: 2\/497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 73?\nAnswer: -803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 5. Let a be b(0). Let y be (0\/5 - -3) + -4. Suppose -4*m + f = -21, -2*m - 25 = 5*f - 8. Sort y, m, a in increasing order.\nAnswer: y, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259841817 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 3.09\nAnswer: 21.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h + 4*h - 171*h**2 + 6*h + 118*h**2. Let g(s) = 35*s**2. Calculate i(g(t)).\nAnswer: -64925*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 - -19.1. Let t = -16.4 + a. Let m = 0.4 + t. What is the second biggest value in -1\/4, m, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 9. Let j be ((-16)\/(-40))\/((-1)\/5). Let x(l) = 181*l - 186. Let t be x(1). Let w(p) = -p + 4. Determine j*d(i) + t*w(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 128*r**2 + 131*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -171 + -8. Let s = 256 + m. What is the remainder when s is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0135 - 1.7865. Let w = i - -1.7. Which is the closest to 4? (a) w (b) 4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -4*a + 3*n + 187, -4*n = 4*a - 328. Suppose 130*p + 195 = 5*t + 125*p, 84 = 4*t + 4*p. Calculate the greatest common divisor of a and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -9?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 49, 3, -4, -12, 2 in ascending order.\nAnswer: -12, -4, -1, 2, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**2\/2 + 5*x - 17. Let a be (-4)\/2 - (-5 - -1). Let z = -7 + a. Give q(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-10)\/(-45)*-5*3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6 = -3*z. Calculate the remainder when z is divided by 20\/(-24) - (-116)\/24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16636, -33266, -49896, -66526, -83156?\nAnswer: -99786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 16 = 8. Let m be (-2)\/8 + 6\/24. Suppose 4*r = -5*p + 79, m*r - 3*r = 3*p - 48. What is the remainder when p is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 202126 (b) 3 (c) -182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/50*-3)\/(1758\/(-5860))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * -1.3.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbggbbgbbb. What is prob of sequence ggg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = -4. Let h(c) = -6 - 2 + 0 - 1 + o*c. What is the remainder when h(8) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(36)*2)\/sqrt(12).\nAnswer: -1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**25)**3*k**(-2\/35)*k**(-1\/7) assuming k is positive.\nAnswer: k**(404\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 divided by 335898?\nAnswer: -415\/335898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1 - a**2 + a - 4*a - 4*a. Let g be y(-4). Suppose -2*b + g = 7. Solve 0 = 3*m + b*n + 1, -n - 4 = -m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 660335.9l?\nAnswer: 660335900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(25)\/sqrt(5) + (sqrt(60)\/sqrt(300))**2 - (sqrt(405)\/sqrt(9) + sqrt(50)\/(sqrt(10) + sqrt(20)\/sqrt(2))).\nAnswer: -5*sqrt(5)\/2 + 6\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 7*p + 81663 = -77994. What are the prime factors of p?\nAnswer: 3, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 206, -5, 0, 2\/3, 1\/4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 8 - (-2 - -5) - (-830 - -797).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18088213, -18088211, -18088209, -18088207, -18088205, -18088203?\nAnswer: -18088201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 19*p**2 + 39*p + 3. Let k be (-3404)\/(-185) + 14\/(-10). List the prime factors of s(k).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314 (base 11) to base 2.\nAnswer: -101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 1, t: 1, d: 1, o: 1}. What is prob of picking 1 o and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13009.00010138 - 13009. Round d to 6 dps.\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3337.9747 + 3339. Round x to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odaddadv. What is prob of sequence dd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -988, -946, -710, -298, 272, 982, 1814, 2750?\nAnswer: 3772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13879097 divided by 603439.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6113 + 6030. Which is the third biggest value? (a) -3\/4 (b) l (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*s**2 + 9*s - 5*s - 2*s - s.\nAnswer: 167*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k**2 - 12*k + 144. Let g be a(4). Solve -42*c + 41*c + 5*o + 18 = g, -4*o - 12 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/308*(70\/16)\/(-5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 64*z**2 + 61*z + 124. What is h(63)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 6:31 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 882202 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4680\/(-3120)*(-116)\/6.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -29. Is ((-15)\/12)\/((0 + z)\/(-1644)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6942015 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100507 is divided by 61?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g**2. Let j(r) = -7*r - 5. Determine j(c(m)).\nAnswer: 42*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + -10670?\nAnswer: -10656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-22) + (147944\/16)\/((-22)\/(-4)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1854 and 246994?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -147 - -117 - (-1142)\/38.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**3. Let j(m) = -m - 5. Let s be j(-4). Let c be z(s). Let d(t) = t**2 + 6*t + 3. What is d(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 3, 159, 2\/3, -0.4, 9 in descending order.\nAnswer: 159, 9, 3, 2\/3, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 112 + 3*i + 25.\nAnswer: 2*i - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 30 = 4*d. Suppose -21 = -j - 4*w - d, -5*j - 3*w = -92. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174580 and 430.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/(-1 + 5\/6). Let z be (-1)\/(44\/(-80)*d + 1). Let q(l) = 10*l - 35. What is the units digit of q(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6555 - -6633.11. Let z = -4.81 + c. Let u = -68 + z. Round u to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 - 7*c - 2. Let t be v(-3). Suppose -t = a - 6*a. Let l = -11 - -17. Calculate the remainder when a is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -188 + -6b?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1023 and 18711924?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -19*q - 12 - 8 + 22*q + 20. Give m(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2573, 5147, 7721, 10295, 12869?\n\"Answer: 2574*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**6\/1380 + 4*q**5\/69 - 128*q**4\/69 + 2048*q**3\/69 + 746*q**2. Let x(d) = 0. What is d?\nAnswer: 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11112 + -1?\nAnswer: -11113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 105863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (88\/46)\/1 + -2. Let y be -2 - -8*2\/4. Suppose -6*v + y*v = -3*v. Is v less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4015 smaller than 4377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 91*f - 92*f = 0, v + f - 6 = 0. Let w(j) = j - 1. Let q(p) = -3*p + 31. What is v*q(z) + w(z)?\nAnswer: -2*z + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -33, -1, 905, 5, -2, 0 in increasing order.\nAnswer: -33, -2, -1, 0, 1, 5, 905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahmfmln. Give prob of sequence af.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 - 15 = 0. Let g(q) = -22*q - 15. Is g(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -1\/3*i**3 - 12 - i + 1\/2*i**2. Let o(q) = q**2 - 3*q + 3. Let s(n) = o(n) + 3*z(n). Let m(t) = 8*t**2. What is s(m(r))?\nAnswer: -128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(2 + 0 - 7)*(0*k + 3*k - 5*k) + 33351 - 27*k - 33351 + (-2 + 2 - 2*k)*(0 + 0 - 2) + 2*k + 2*k - 3*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + n**4 + n)*(1 - 1 + 2) + (-21*n + 7*n**2 + 21*n)*(-1 + 1 + 2*n**2) to u*n + r*n**3 + x*n**2 + z + m*n**4 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -3. Suppose 5*v - z = 10. What are the prime factors of -1 + (9 - v) - -39?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1925 and 200?\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*l + 19, -3*y + 2*y = -3*l + 9. Let v(j) = -5 + 7 + l*j**2 - j**2 + 9*j + 6. Let b be v(-8). Solve b = -3*z - 1 - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*a - 1 = 2, -s = 5*a - 13. Suppose 0 = s*r - 714 - 374. Calculate the greatest common divisor of r and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/11)*g)\/(g\/(g\/g**(3\/16)))*g**(6\/7)\/g*g*(g*g**(-3\/7)\/g*g*g)\/g*g)**(-49) assuming g is positive.\nAnswer: g**(-26383\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 447016 and 2512.\nAnswer: 140363024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 509940.7l?\nAnswer: 509940700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 11 = 2*q, 24*q - r - 1 = 21*q. What is the biggest value in 1.8, -1, -0.11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320649820 rounded to the nearest 1000000?\nAnswer: 321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 195, -1, -5 in increasing order.\nAnswer: -5, -1, 5, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 71*s**2 + 4*s - 99. Determine a(71).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2 - (-6 - -2)). Let t = 8 + -7. Let d(y) = 4 - h + t + 3*y. Determine d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 2*n + 3. Let w be d(5). What is the tens digit of (4\/(w\/39))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2)*(-456728)\/21602.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 367*r**2*z - 357574*r**2 - 6*r*z + 2*r - 189*z - 8 wrt z?\nAnswer: 367*r**2 - 6*r - 189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 2*g - 121 + 22 + 91 + 5 - 68.\nAnswer: 2*g - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -504984 + -2?\nAnswer: -504986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + ((sqrt(704) - (sqrt(704) - (-1 + sqrt(704))))*5 - (-1 + (sqrt(704)*-2 + sqrt(704) - sqrt(704)))))*1*1)**2 + 1.\nAnswer: 34497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + t - 1. Suppose 3 = 6*x - 15. Suppose 17*f + x = 16*f. Let q(z) = -6*z**2 + 5*z - 5. Give f*q(w) + 15*j(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y + 814 = 31*y + 12*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/3271865 and -16\/156055?\nAnswer: 193040035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*c + 61*c - 40040 = -908*c for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156923423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 146049307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(5 - 1 - 3)*(o**2 - 3*o**2 + 0*o**2) - 689*o**2 + 2908*o**2 + 110*o - 110*o.\nAnswer: 2217*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 2. Suppose 4*c - 21 = -i*b, 4*b + 0*b - 4*c + 12 = 0. Which is greater: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/2 - (-12)\/8. Let z(c) be the first derivative of c**2 - 12*c - 3. Let t be z(j). Solve u - 15 = -t*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w**2 + 3. Let b = 7 - 12. Is f(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypdp when four letters picked without replacement from pyvcdcacvppa.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 4:19 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 43*d**2 - 160*d - 77. Calculate the remainder when 2173 is divided by l(-17).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6207236?\nAnswer: 2, 7, 41, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1629 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -1\/3*c**3 + 0 + 7*c + 0*c**4 + 0*c**5 - 4\/15*c**6 + 0*c**2. What is the second derivative of x(o) wrt o?\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 21403 = -168713. Let r = l - -1710901\/36. Let y = 13269 + -291837\/22. Find the common denominator of y and r.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 35. Suppose -2*j - 2*b + 24 = 0, h*j + 1 - 5 = 5*b. Calculate the remainder when 22\/(3 - (-2)\/(-1)) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-210)\/8)\/(2\/8). Let u = x + 209. Does 26 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 133510 from 1.7408.\nAnswer: -133508.2592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -232 divided by 2\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/3*(-12)\/(-10). Let c be -1*(-5)\/(g - 3). Sort c, 2, 0.\nAnswer: 0, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 238*y - 235*y + 6 = 0, 2*y - 17 = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2 + 92*y + 1058 = 0 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = -2*m - 1012, 2*w - 5*m - 671 = 0. Let o = 822 - w. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57\/2 of a gram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -10*y - 2, -3*y - 3*a - 7 - 10 = -8*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**3*q**3 - a**3*q**2 - 58*a**3*q + 25*a**2*q**3 + 3*q**3 + 103 wrt q?\nAnswer: -36*a**3 + 150*a**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 0 - 3\/4*g**2 = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49875 - 370237 = -121*z. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6*g = 10. Let c be (8\/(-3 - -4))\/g. Let b be (-340)\/(-1425) - c\/(-30). What is the third biggest value in 1\/6, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/629808 and 29\/84.\nAnswer: 4408656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f + 33. Let t be c(-10). Let v = 142 + t. Let q = 156 - v. What is the remainder when q is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*y**5 + 1668*y**4 - 7486*y**3 - 47244*y**2 + 42704*y + 10368 = 0. Calculate y.\nAnswer: -4, -1\/5, 1, 8, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 - 0.48. Sort h, -0.1, 2\/3, 2 in decreasing order.\nAnswer: 2, 2\/3, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/21 + -2)\/((-6)\/21). Suppose z*x = -3*y + 7*y - 70, -3*x - y - 119 = 0. Which is bigger: -37 or x?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(1331) - (sqrt(1331) - sqrt(1331)*-2*1)) + -2 + 1 + sqrt(1331))**2 + -4)*-4.\nAnswer: -5304 - 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2. Let d(o) = -2*o - 428535269. Calculate d(q(h)).\nAnswer: 2*h**2 - 428535269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 2:56 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2. Let m(i) be the second derivative of 0*i**2 + 100\/3*i**3 - 2 - 30*i. Give m(t(f)).\nAnswer: 600*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3\/8 (c) -0.4 (d) 0.2 (e) 22 (f) -6.0324\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-6 + (1 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, f: 4, q: 1, y: 1, a: 2}. Give prob of picking 2 n and 2 a.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*o - 4*o + 6 + 4 - 4.\nAnswer: -o + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2626 = -190*h - 12*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*s - 5*u + 4, 2*s - 2*u = 0. Let q = 85 - 61. What is the remainder when (s - (-115)\/(-20))\/(2\/(-24)) is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55618 is divided by 1070.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 0*d**4 + 0 + 15*d**2 + 0*d**3 + 0*d + 1\/30*d**5. Suppose 0 = 13*s + 140 - 127. Give q(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 8) to base 2\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10980 is divided by 3660.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33452 + 41076. What are the prime factors of q?\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -89. Calculate the highest common divisor of f and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 12*r**2 + 44*r + 18. Calculate k(-7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - n. Let q(s) = 3*s**3 + s**2 + s. Let m be q(-1). Let l(u) = -u - 58963*u**2 + 117927*u**2 - 58967*u**2. What is m*v(y) + 3*l(y)?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -149210 and -47.1.\nAnswer: 7027791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - r = -8, 4 = 5*y + 4*r - 16. Let k be 44\/6 - (-4)\/6. What is the greatest common factor of y and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*w + 16310, -5*w = -d - 3*w + 5433. Let z = -124 + d. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 91*g**2 + 8*g + 72. What is the units digit of v(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5775798271.\nAnswer: 5237, 1102883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v**4 - 16*v**2 - 16*v + 4*v**4 + 4*v**5 + 28*v**3 - 9*v**5 - 7*v**5 = 0. Calculate v.\nAnswer: -1, -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, -41.1201, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**3 - 2*r + 4. Let h(t) be the second derivative of 17*t**5\/20 + 3*t**3\/2 - 17*t**2\/2 + 10*t. Let j = 284 + -275. What is j*i(p) + 2*h(p)?\nAnswer: -2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31596 = 4*a + 1120. Let k be a\/(((-9)\/2481)\/3). Let v = k - 2364033. Round v to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1853259 divided by 1853259\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-20 + (6 - -16))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 2*d + 1064. Suppose -5*v = -2*o - d, -5*o + 137 = 5*v - 8*o. Solve -5*j - 5*a + v = 0, 4*j - 2*a + 11 - 1 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**3 + 0 - 1\/5*p**5 - 1\/40*p**6 + 0*p - 5\/8*p**4 - 2*p**2. Solve q(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywwnywwnwjywwwzww. What is prob of picking 1 n, 1 j, and 1 z?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.969 times 7.381?\nAnswer: -250.725189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2 + p - 19. Let s(v) = -15*v**2 - 3*v + 39. Let r(t) = 13*o(t) + 6*s(t). Give r(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4310, 8628, 12946, 17264, 21582?\n\"Answer: 4318*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5429 and 787547027.\nAnswer: 5429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - 4*z + z)*(233*z + 566*z - 136*z + (z - 2*z - z)*(-1 - 4 + 2)) to the form o + t*z + d*z**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 177.74, -0.1, -2, 73 in descending order.\nAnswer: 177.74, 73, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51557 and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.00549282 to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 14 + 8 - (-11 + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -129*g**2*t**3*w - 34711*g**2*t**2*w**3 + 88523*g*t**3*w + 4*g*w**3 + t**2*w**2 - 11*t wrt g?\nAnswer: -258*t**3*w - 69422*t**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(20)\/sqrt(4))**2 + -1 + -3 + sqrt(5).\nAnswer: -3*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663*i + 1326*i - 661*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46416.52 weeks to nanoseconds.\nAnswer: 28072711296000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 2:54 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30648514?\nAnswer: 2, 13, 761, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 11 - 5)*(0 - 2*q + 0)*(4*q**2 - 3*q**2 - 2*q**2 + (-q + 0*q - q)*(-4*q + 2*q + q)).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 3:54 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-10)*(-45)\/54\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93901 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.35178682 + 110.\nAnswer: 111.35178682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 1, -22, -59, -116, -199?\n\"Answer: -m**3 + 2*m**2 - 14*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22934 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3339113.\nAnswer: 3339113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 3*b**2 - 4*b - 481. Let v(n) = -3*n**3 - 8*n**2 - 11*n - 1443. Let p(s) = 11*j(s) - 4*v(s). Is p(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -339 + 89. Round q to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 0*l - 89193 + 90426)*(-5*l**2 + 6*l**2 - 5*l**2) to a*l**3 + r*l + q + g*l**2 and give g.\nAnswer: -4932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 87642.5cm?\nAnswer: 0.876425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 25. Is n less than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 55390500 to the nearest 1000000.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at most 15291\/971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*o + 162 + 0*o + 3*o - 22*o wrt o?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17\/4 (b) 264 (c) 13 (d) 0.3 (e) -5\/4 (f) -40\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4*x - 4004, -g + 3*g = 4*x - 2002. What is the common denominator of -125\/18 and (g\/176)\/(2\/4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddd. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.94 - 0.34. Let r = -5.7 + n. Let o be ((-27)\/6)\/(-3)*(-230)\/69. Which is the nearest to -1\/4? (a) r (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**5\/20 - a**4\/2 - 5*a**3\/3 + 23*a**2\/2 + 8*a. Let y be i(7). Solve 2*w + 0 - y = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268 and 48374?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 637089 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 76, 137, 194, 247?\n\"Answer: -2*r**2 + 67*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 9*c**2 + 7*c + 5. Determine y(-7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3124981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/(-4)*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*m*x**2 - 21178*m + 149*x**2 - 1288*x with respect to m.\nAnswer: 12*x**2 - 21178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -74123?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcccxvvvxxcvvxvxxxvv. Give prob of sequence cv.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*m + 31 - 31)*(-2 - 7*m + 2) + 9*m - 4 + 5 - 3*m**2 + 4*m**2 as s*m + v + j*m**2 and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -754, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124 and 837?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/15975 and -103\/250.\nAnswer: 159750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 83*y**5\/20 + y**3\/2 + 9*y**2\/2 - 13*y - 2. What is the second derivative of w(z) wrt z?\nAnswer: 498*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004903 to 6 dps.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*c + 5. Let w be (-6 - -7) + -1 + -5. Put 14, -1, c, w in decreasing order.\nAnswer: 14, -1, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4 + 2166*x**3 + 2*x**2 - 2166*x = 0.\nAnswer: -1, 0, 1, 1083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 182180899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 324*c**2 + 814*c?\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.24223*-25\nAnswer: 6.05575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8*q. Let v(k) = -7*k. Let b(z) = 15*z. Let g(u) = -6*b(u) - 13*v(u). Let x(n) = 13*n + 216. Let d be x(-17). Give d*g(m) + i(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-2)\/(-150)*6*(-10)\/36\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 32 = -3*t. Let z be (48 - 37)*(-6)\/t. What is the highest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1067, -2\/9, 14, -0.03, 0.12?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 414 divided by -3.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2485 + -2?\nAnswer: 2483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 1)*(0*w + 2*w - 3*w) - 1066*w + 530*w + 659*w to x*w + j and give x.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 8*t + 2. What is the remainder when a(-6) is divided by 155\/30 - (-1)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2*f, -4*f + 2*f - 6 = -4*o. Is (34 + -5)*(o + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -33*m**4\/4 + 16*m**3\/3 + 21. What is the third derivative of g(h) wrt h?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 22*n - 680. Let p(w) = 33. Let x(h) = -b(h) - 26*p(h). Determine x(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 2. Let i(p) = 6*p - 10. Let w(s) = 2*i(s) - 11*k(s). Let f be w(0). Factor -5*x**2 + 0*x**2 + x**2 + 3*x**f.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**3 + 20*s**3 + 14*s**3 - 46*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230048055*a - 460096160*a + 230048065*a.\nAnswer: -40*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 27\/4 of a second?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -776\/3519 - 2\/1173. Which is the biggest value? (a) -20 (b) -0.01 (c) -0.4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24607, 48841, 72701, 96187, 119299, 142037, 164401?\n\"Answer: -187*r**2 + 24795*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 + -13 - (4 - (-24 - -16))) + 10.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 23830009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(1*3*sqrt(8)) - (sqrt(396) - (0 + sqrt(1584))).\nAnswer: 19*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 316*o - 18035. What is r(-75)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = 15*p - 3*p. What is the remainder when 69 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 9*f**2 - f + 4. Is c(8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q = -3. Let g(m) = m - 1. Let h(t) = t - 1. Let n(f) = -2*g(f) + 3*h(f). Let v(x) = 2*x - 2. Give q*v(d) + 8*n(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7180 - -8?\nAnswer: -7171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/25 - 21\/50. Which is the third smallest value? (a) u (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 86027*a - 1586. Let h be g(-2). Round h to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*((sqrt(63) + (sqrt(315) - (sqrt(315)*-5 + sqrt(315)))\/sqrt(5))\/sqrt(9))**2 - (sqrt(112) + -2 + 1 + (-1*sqrt(7))**2)).\nAnswer: -4*sqrt(7) + 1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 953 = 8*h + 881. Suppose -5*d - 18 - 7 = 0, p = -5*d - 20. Solve p*m - 6 - h = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 9 - -2 - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/6)\/(78\/(-897)*-1)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*4\/2. Let u = 6883\/11 + -625. Does u = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, s: 1, j: 6, k: 2, n: 3, y: 4}. Give prob of sequence jlkj.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 75?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 9\/((-3 - 2) + 6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 - -1) - (-1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = 2*i. Let y = 4 + i. Suppose 2*h + 3*n - 1 = 13, -4*h + 20 = 2*n. Solve -h*t - y = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1401, -1393, -1231, -795, 35, 1379, 3357, 6089?\nAnswer: 9695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/5 - 0\/(-5). Let l = b + 161\/45. Let f = -1806\/5 + 360. What is the nearest to l in f, -1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*l + 1. Let k be ((-4)\/l + 67196\/(-6))*-500. Suppose -9*d + k = -23*d. What is d rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjjpppppjjpppjpjpp. What is prob of picking 1 p and 2 j?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -8*c**6\/15 + 7*c**5\/5 + 2*c**4 - 14*c**3\/3 - 4*c**2 + 7*c. Find q such that t(q) = 0.\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x**2 + 4*x**2 - 2*x**2)*((1 + 2 - 1)*(-2 + 2 - x**2) + 2*x**2 + 0*x**2 + x**2) to the form c*x**3 + y*x**4 + v*x + a + t*x**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65771 + -30100. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 389 or 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 0.0277 (b) 2\/55 (c) 0.2 (d) 26 (e) -1 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 20 = -4*g. Suppose -4*u + 3 = p, -5*p - 3 = u - 4*p. Find the third derivative of -3*d**3 + u*d + g*d**2 - d**2 - 2*d wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvwvvvwwvv. Give prob of picking 2 w.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1041476*a + 311596.\nAnswer: -1041476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((1 + sqrt(1088))*-4 - (sqrt(612)*1 + (sqrt(85)*-2)\/sqrt(5)))*-3)**2.\nAnswer: 10368*sqrt(17) + 793728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i. Let n be o(-3). Let v(w) = -w + 41. Let r be v(34). Let f be (11 - 824\/56)\/((-3)\/r). Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -752, -1256, -1760, -2264, -2768, -3272?\nAnswer: -3776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23497\/3 or 7831?\nAnswer: 7831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5384, 10856, 16428, 22100?\nAnswer: 27872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**4)**(-5\/9)*y*y\/y**(-10)*(y\/((y*y*y**10)\/y)*y)\/y assuming y is positive.\nAnswer: y**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -132 + 130. Let p be (6\/(-9))\/q - (-10)\/30. Which is the nearest to -1\/2? (a) p (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnk when three letters picked without replacement from kknkknkkkkkk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.50252.\nAnswer: 0.201008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -74066*h + 370299. Calculate d(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w**2 - 2*w)*(-333*w**2 - 100*w + 99*w - 692*w**2).\nAnswer: 1025*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + 61. Calculate the common denominator of 123\/10 and (b\/3 + -1)*1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(0*r + r + 0*r) - r - 2 + 2 + r + r + 0*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:26 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 8*l + 17. Let p be v(-7). Suppose s + 9 + p = 0. Let w = 23 + s. Solve w*z = -0 + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4013592, 4013589, 4013584, 4013577?\nAnswer: 4013568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2414?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in 2\/5, -1\/5, 0.887?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 137 = -2*j - 8, -j - 4*h + 42 = 0. Let b = 179 + -101. Suppose -j*l + 65*l - b = 0. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 16*k**3 + 3*k + 3. Let r(g) = 80*g**3 + 16*g + 16. Let f = 9898 + -9930. Give f*a(z) + 6*r(z).\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1972865, -3945518, -5918171, -7890824?\nAnswer: -9863477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378376756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71706\/5 + 14268. Let z = 73 + d. Let j be 6\/(-4)*-1*2. What is the third smallest value in 1, j, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/2650 and 37\/10.\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 23*u**2 + 30*u - 3. What is the hundreds digit of q(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 + 75*j + 2. Let x(h) = -2*h + 1. Calculate the remainder when x(-2) is divided by q(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 511479\nAnswer: -7\/170493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1177 + -4?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.096 and 4.\nAnswer: -16.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23440.7 + -23441. Sort 76\/3, f, 3, 2\/3 in descending order.\nAnswer: 76\/3, 3, 2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0871 - 7\nAnswer: -6.9129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121020212 + -10?\nAnswer: 121020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*c, 2*t + 0*t = -c + 3. Suppose -13 = 5*o + t. Let l be (-143 - -135) + -3*3\/(-3). Put o, 3, l in descending order.\nAnswer: 3, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94849965*-3\nAnswer: 284549895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -10. Let g(k) = k**2 - 7*k - 95. Suppose -7*w + 8 + 90 = 0. Let m be g(w). Sort 4, t, 2, m.\nAnswer: t, 2, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9545*b + 9543*b = z - 55, 210 = 4*z + 6*b for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2 + 18*y + 5. Let q(c) = 2*c**2 - 9*c - 2. Let j(a) = 3*o(a) + 7*q(a). Let t be j(-9). Let b be (-3 - -2)*-3 - t. Solve -4 = -6*d + b*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222754 to the power of 1\/2, to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 1103555?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - m - 14 = -2*m, 0 = -y + 3*m - 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, u: 2, v: 1, o: 1}. Give prob of picking 1 u, 1 o, 1 v, and 1 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 43*t**2 + 11981*t + 19398. What is c(-277)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 h when four letters picked without replacement from {m: 9, h: 11}?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2171578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 15 - 25 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 21 = 33*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1287 and 3432?\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -29*p**9\/7560 - 11*p**5\/40 - 41*p**4\/12 - 3*p**2 - 8*p. Let w(q) be the second derivative of n(q). Differentiate w(z) wrt z.\nAnswer: -232*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1272064\/19 or -66950?\nAnswer: -66950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -44*(-9 + 552\/66)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**3 - 89*b**2 + 174*b - 71. Let c(a) = -a**3 - 18*a**2 + 35*a - 14. Let m(k) = 11*c(k) - 2*p(k). Let z be m(18). Solve 0 = 9*l - z*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 5*s + 7. Let f be (-1)\/(-2)*(1 - 15). Determine z(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/4)\/((-8)\/16). Suppose 2*n = 3*n + d*t - 1, 0 = 3*n - t + 13. Let b = 183 - 182.7. What is the second smallest value in b, 4, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5035705 + 2*w + 1407*w**2 + 5035705 in the form r*w + i + a*w**2 and give a.\nAnswer: 1407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + (sqrt(704) - 1*sqrt(704))*1 - -1*sqrt(704)*-1)**2 + (sqrt(704) + -1*sqrt(704) + 1 + ((0 + sqrt(704))*-2 - sqrt(704)))**2*3.\nAnswer: -144*sqrt(11) + 19011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awaa when four letters picked without replacement from {a: 7, x: 5, l: 3, w: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 - (3323 - 3319)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*w**2 + 25*w + 4692 wrt w?\nAnswer: 44*w + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3247809 is divided by 191013?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*g**5*q + 2*g**5 - 380*g**3 + 2*g**2*q - 311*g**2 + 472*q wrt g?\nAnswer: -1020*g**2*q + 120*g**2 - 2280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/9*0*1\/2. Suppose 14*p - 21*p = t. Solve 5*c + p = 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 + 0*g**2 + 13*g**3 - 11*g**3 - 5*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**5 + 10105*o**4 + 925455*o**3 + 5279335*o**2 + 7822750*o + 3458760 = 0.\nAnswer: -82, -4, -1, 2109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 10:36 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 47221104.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 73 = -4*c, 6*s = -5*c + 2*s - 98. Let q be (-3 + 7)\/(((-4)\/(-18))\/(-1)). Let b = q - c. Solve 0*o = -b*o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7 + -2 + 12 - (1 - 79)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 9:44 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24281?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - 46) + 86 + (1 - -17)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (52 - 4) + -16 + -5 + 5\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -0.71.\nAnswer: 0.0284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 23, 3, -2\/25, 0.02, -0.1, 0.2, -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -8*r + 40. Which is the closest to 0.1? (a) 0.5 (b) 6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 (base 13) in base 2?\nAnswer: 100100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-136)\/(-17) + 0\/2. What is the highest common factor of r and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25362 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10789, 3, -0.5582 in ascending order.\nAnswer: -0.5582, 3, 10789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 - j**2 - 2*j**2)*(4 - 3 + 1)*(5*j**2 + 25*j - 25*j) to s*j + m + u*j**4 + n*j**2 + a*j**3 and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a - 5*g = 29*a - 6, -g - 18 = 4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 + 90\/(-8). Let h(q) = q**2 - 67. Let t be h(10). Let i = p + t. What is the highest common divisor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 3, -1 in decreasing order.\nAnswer: 22, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3869\/243747)\/((-2)\/(-126)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 448 + -70. Suppose -114 = 4*m - y. Is m\/4*28\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 - 103. Does 2\/25 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -77282?\nAnswer: 38641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/29)*r**(5\/2)\/r*r*(r*r\/r**(2\/7))\/(r**(1\/3)*r) assuming r is positive.\nAnswer: r**(3593\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1486133, -2972286, -4458435, -5944580, -7430721?\n\"Answer: 2*j**2 - 1486159*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 524.271301 to one dp.\nAnswer: 524.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29.942 + -0.058. Let g = 16 + u. Let f = 14.00000044 + g. Round f to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-68)\/(-42)*3 + -5. What is the second biggest value in 11, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4777 + 2?\nAnswer: -4775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**(1\/2)*m**(1\/9)*m assuming m is positive.\nAnswer: m**(65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1721 - 1722 - 1725 - 58*u + 5168.\nAnswer: -58*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 - 8*l + 2. Let g be k(6). Suppose g - 12 = 5*q. Suppose 26 = 2*x - 3*h, 6*h - h + q = 0. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 o, and 1 a when four letters picked without replacement from afkeokaakze.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -7. Let h = -165538.15 - -165538. What is the third biggest value in 3\/5, h, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 308919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 540 and 36*(8554\/(-84))\/(-47)?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -316072\/685 in decreasing order.\nAnswer: 5, 3, -316072\/685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x - 5. Let k(d) be the third derivative of -d**4\/12 + d**3\/2 - d**2. Suppose 4*i + 4*v + 5 = -19, 3*v - 30 = 3*i. Give i*k(j) - 5*z(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 15*j + 10. Suppose -74*f = -71*f - 18. Let p(i) = -2*i. Let a(h) = f*p(h) + o(h). What is a(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 107971*o - 1055. Let d be f(-5). What is d rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2101*l + 24926. What is n(-12)?\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2 + 4*d + 2. Suppose -j - 3 = -s, -s + 6*s - 3*j - 13 = 0. Suppose -7 + 3 = s*y. What are the prime factors of m(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 3*a**2 - 2*a - 1. Let d be z(-3). Solve -d*b + 3*u - 2*u = 1, -4*b = -5*u - 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3279, 26266, 88661, 210168, 410491, 709334?\nAnswer: 1126401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7.818 from -0.07.\nAnswer: -7.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 13 = -z. Suppose z*h = 22*h + 183. Let m = h + 66. What is the remainder when m is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51952 divided by -8\nAnswer: 6494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2) + sqrt(2) + -4 + (sqrt(72) - (sqrt(72) + (sqrt(72) + 0 - sqrt(72)))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -297 + 38. Let o be 2\/(-8) - (4 + k\/28). Solve 22 = -o*j + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.049332+-13.03\nAnswer: -13.079332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z + 9. Let r = 171 + -174. Put 5, z, -4, r in decreasing order.\nAnswer: 5, z, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7956 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 28. Let t(l) = 13*l**2 + 52*l - 44. Let o(v) = 3*v**2 + 13*v - 11. Let f(z) = 9*o(z) - 2*t(z). Let c be f(g). Solve -c*w = -4 - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -4 + (19 + -17 - (1 - -2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**7\/7560 - m**5\/360 - 7*m**4\/8 + m**2. Let q(o) be the second derivative of a(o). Factor q(w).\nAnswer: (w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*f = -10, 6*t - 3*f = 2*t - 20. Let d be (1\/(-1))\/(1\/t). Suppose 21 = -2*p + d*p. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3809249 divided by -3809249\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1258 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2286691.129 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + -47 + 1 + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*(sqrt(76)*1 - sqrt(76) - sqrt(76)) + -4)*-6.\nAnswer: -12*sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 235809 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3759070 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*h**2 - 55*h + 27*h + 28*h as i + l*h**2 + o*h and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4870, -9864, -14858, -19852, -24846?\nAnswer: -29840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-369)\/(-164))\/((-1)\/(-4))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 343 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24.8988248 and -32.942.\nAnswer: -57.8408248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 4*t + 7. Let s be u(6). Let f be (-3)\/4*(-4)\/s. Let w = -4 + 7. Sort f, w, -1\/3 in ascending order.\nAnswer: f, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1307473590?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m + 1. Let s be r(1). Is (1\/(-3))\/(1\/(-69)) + s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15408739981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2. Let g(m) be the second derivative of -m**4\/12 + m**2\/2 + 6*m. Calculate -2*g(c) - q(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 167.34345.\nAnswer: -167.34345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 9*i**2 + 8*i - 10. Suppose 4*z + 29 = -3*u, -u + 2 = u. Let d be w(z). Let a = 58 + d. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*n**3 - 90*n**3 - 113*n**3.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 + -83.1. Let l = 1.4 - i. Which is the nearest to 1\/3? (a) 4 (b) -1\/42 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 10:21 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001101001110111 (base 2) in base 14?\nAnswer: 105a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 < -2791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 28. Suppose -3*c + 5*r + 105 = 0, -931*c + 92 = -929*c + 4*r. What is the remainder when c is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f - 4*s + 55, 2*f - 115 = -3*s. Let c = -35 + f. Suppose 2*w + 3 = 123. What is the greatest common divisor of w and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 3)*(5 + 0 - 3) + 2 + 3 - 1)*(2*k**3 + 7*k**3 - 5*k**3).\nAnswer: 32*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o**(2\/5)\/o)**(-36))**(-45) assuming o is positive.\nAnswer: o**3888","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1093*y + 1102*y - 602271 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 38 = -4*y, -s - 35 = -4*y - 2*s. Suppose 3*z + 4*w + 19 = 0, -2*z + 0*z + 2*w = 8. Let g = z + y. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/181? (a) -18 (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -26. Let d = -31\/3 + v. Let n = 40.6 + -41. Sort 5, d, n.\nAnswer: n, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (147\/(-9) + -1)*(-114)\/76. Let v(d) = -16*d**3 + d + 1. Let z be v(-1). Let p = n + z. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 13750312708\nAnswer: 13750312707.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 9:49 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**2 - 23*y + 8. Let n be q(-8). Are -10 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 900 divide 784992455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 10 - 17 + 2*x - 11 in the form l*x + u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 203\/(-29)*2\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 66\/10255 and -24\/245?\nAnswer: 71785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10900\/12733 - -2\/1819. What is the nearest to o in 2, 3, -2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -17.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15481268 - 6*s + 15481268.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 3*d**2 - 58*d + 206. Determine r(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 372*p + 1. Let t be q(3). Let a = -11207\/10 + t. Let i = -178 + 1619\/9. Calculate the common denominator of a and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511 = -24*v - 10 - 391 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2554.4 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 11*a**3\/3 + a**2\/2 + 2*a + 1. Let h be x(2). What is the tens digit of h\/3 - (-1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 7*s + 9. Let m be n(-6). Solve 4*t = t + 6, -5*i + m*t - 11 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1617 and -137\/96.\nAnswer: 51744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79\/64 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160248000.00000116 - -160247939. Let m = -61 - k. What is m rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -1 + (-111 - (-179 + 46))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 6, w: 1, u: 3, h: 5}. What is prob of sequence ao?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2267 greater than -2267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3510 divided by -130?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + u + 20 = 0, -5*m + 7 = -u - 18. Suppose 2*b + 104 = 4*b + 4*c, -m*b - 2*c = -220. Calculate the highest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9169 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/3 + 50*h**4\/3 + 7010*h**3\/3 - 50*h**2\/3 - 2336*h = 0. Calculate h.\nAnswer: -48, -1, 0, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**5 + 7*q**5 - 2*q**5 + (-q**5 + 2*q**2 - 2*q**2)*(4 - 6 - 1).\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1100282 or -1100279?\nAnswer: -1100282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28629106 is divided by 244693.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 26 = k + 3*n, 5*k = -2*n + 130. Let c = 29 - k. What is the units digit of 4\/12*c + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*r + 24, 0 = 3*q + 4*r - 7*r + 24. Let y(o) = -o**3 - 3*o**2 - o - 16. Let k be y(q). Solve k*a - 3*h = a - 15, 0 = 5*h - 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 267070678 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -28. Let o = n + 16. Suppose 0 = r - 2*r - o. Put r, 1, -4 in increasing order.\nAnswer: r, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l + 44 + 49 - 140 + 47.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/5)\/4*(-50)\/(90\/(-9))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108\/7 + 6*h**2 + 3\/7*h**3 + 9*h = 0.\nAnswer: -12, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 4, 0.0382, 81, -1, 0.2 in decreasing order.\nAnswer: 81, 4, 0.2, 0.0382, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -150, -2, 4, -3, 44, 5 in ascending order.\nAnswer: -150, -3, -2, 4, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 13*a - 18. Let w be z(-16). Suppose b + 5*i = w, 31 = 4*b - 3*i - 43. Calculate the lowest common multiple of b and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - 3 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21238 and 12691?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4015619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1565*w + 1886*w - 792*w + 475*w + 1153*w.\nAnswer: 4287*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d5 (base 15) to base 12.\nAnswer: 60b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.1, -5\/3, -8\/7, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 8*p + 48647. Is c(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w = 2*o + 58, 2*o = 2*w - 28. Let a = 33 - w. Let p be (-3 - a\/(-8)) + 2. Do p and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, b: 1, j: 1}. Give prob of sequence bjd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 0 - 9\/2*v + 1\/2*v**5 + 4*v**3 - 3*v**2.\nAnswer: v*(v - 1)*(v + 1)*(v + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -200155, 9, 10, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (125\/(-30) - -4) + 34\/24\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35, -22, -11, -2, 5?\n\"Answer: -w**2 + 16*w - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*k, -3*k = 3*q - 5*k. Let d(z) = -4 - 2*z**3 + 3*z**3 + 17 - z. Determine d(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203529.45 months in decades?\nAnswer: 1696.07875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39031709 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j*j**(-1\/2)*j))\/j)*j\/(j*j**(-5)))\/(j**(-2\/9))**(-1\/61) assuming j is positive.\nAnswer: j**(8231\/1098)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = h + 3*q + 3, 47*h - 58*h + 20 = -51*h - 5*q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.4 + -27. Let c = y + -1.4. Let r = c + 4. What is the nearest to 0 in r, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/((sqrt(5) - sqrt(40)\/sqrt(8)) + sqrt(5) + sqrt(5)) - (sqrt(1536) - 3*sqrt(1536)))\/(-2*2*sqrt(1152)*-2).\nAnswer: 11*sqrt(3)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-4 - -1 - -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i**3 - 22*i**2 - 99*i + 37. What is x(-4)?\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12123 (base 4) to base 2\nAnswer: -110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(2) - (sqrt(2) - sqrt(18)\/sqrt(900)))*-6)**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-10) - 1\/(-2). Which is the nearest to h? (a) -4\/3 (b) -2\/9 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.12512 + 0.12512. Which is the closest to 0? (a) -1.2 (b) -2\/11 (c) f (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 109 = 395. Suppose 7*b = -2*z + 6*b + 8, -5*b + l = 3*z. Solve 0*j - 18 = -5*n - 4*j, 0 = 2*n - z*j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 46 = -4*v, 0 = -4*w - v + 18 + 2. Let y(u) = 3*u**2 + 90*u + 176. Calculate the smallest common multiple of w and y(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133132014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11778, -22659, -33542, -44427, -55314, -66203, -77094?\nAnswer: -87987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*n**2*x**6 - 32*n**2*x**3 - n**2*x**2 - 2*n*x + 44*n wrt x.\nAnswer: -1920*n**2*x**3 - 192*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 82 - 80 = 0. Let i be ((-15)\/4 - l\/(-6))\/3. What is the closest to i in 2, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**4\/3 - 2*z**3\/3 - 116*z + 4. Let g(s) be the first derivative of v(s). Determine k so that g(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 3*l**2 + 2*l**2)*(-2*l**2 + 2 - 2) + l**4 - 2*l**4 - l**4 + (2*l - l**2 - 2*l)*(0*l**2 - 3*l**2 + 4*l**2).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + sqrt(66)\/(sqrt(6) - 5*sqrt(150)).\nAnswer: -sqrt(11)\/24 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.130447 minus 0.4251?\nAnswer: 195.705347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 951\/8 - 119. Is 0 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/((-4)\/(-20)). Suppose -2*u + 15 = 3*u. Is u less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1358014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 a, and 1 e when four letters picked without replacement from {a: 1, e: 3, g: 6, f: 5, v: 1, u: 1}?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(60)\/sqrt(2)*5)\/(sqrt(36)\/(sqrt(24)\/sqrt(4)) + (sqrt(216) - 2*sqrt(216))).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(0 + (-18)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(10\/450*15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 3 (b) 4 (c) 1196\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/2*(-4)\/(-8). Let i be 6\/((-15)\/(-12) + r). Let v = i + 26. Calculate the highest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*v + 6 = -3*v, 3*v = -3*w. Suppose 5*t = -2*i + w*t - 543, 4*i - 2*t = -1078. Let x = i - -475. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4 + 82*a**3 - 9985*a**2 - 31426*a + 102120 = 0.\nAnswer: -148, -5, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, c: 1, u: 1, o: 1, a: 4, z: 2}. Give prob of sequence uacz.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:52 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 335440 and 5968?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, 0, -220, -4, 1 in descending order.\nAnswer: 1, 0, -2, -4, -11, -220","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {b: 6, q: 4, n: 6, s: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 4:05 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506649?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 65.11*1631\nAnswer: 106194.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 5*v**2 + 4*v + 20. Let i be y(-5). Solve i = -24*u + 31*u + 49 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4032*d**5 + 4655*d wrt d?\nAnswer: 80640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33394*n**6 + 2*n**3 + 6*n**2 + 388*n + 6.\nAnswer: 4007280*n**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.53?\nAnswer: 2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000048777 to seven dps.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 2*c + 1. Let r be l(0). Let k(g) be the second derivative of -g**4\/12 - g**3\/6 + g**2 + 2*g. Let u be k(-2). Put r, u, 4 in ascending order.\nAnswer: u, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 12*w + 14. Let f be i(11). Suppose 108 = j + f*j. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001842158922 to five dps.\nAnswer: 0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 18*j**2 - 3*j + 3. Let k be ((-2)\/7 - (-64)\/(-168)) + 22\/6. Let b(n) = 36*n**2 - 5*n + 5. Give k*b(u) - 5*g(u).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3403 - 860 - 5*w**3 + 1620 + 1597 + 160*w**2 - 1680*w.\nAnswer: -5*(w - 12)**2*(w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5632051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 299396000 to the nearest one million.\nAnswer: 299000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -4. Let h = 2 + 1. Calculate the remainder when h is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21855 and 775?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 3386880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2666 + -2403. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeiiie. Give prob of picking 2 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, z: 1, r: 2, h: 6, k: 1}. What is prob of picking 1 r and 1 u?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 14. Which is the smallest value? (a) z (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5626489 micrometers in centimeters?\nAnswer: 0.00005626489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s + 3 + 2*s**2 + 5*s**2 - 5*s**2. Let y(q) = -173*q + 8. Let m(v) = -63*v + 3. Let t(d) = 11*m(d) - 4*y(d). Determine -f(o) + 6*t(o).\nAnswer: -2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i**3 - 2*i**2 - 4. What is the units digit of r(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 144*z - 28 - 260. Solve 33*s - 36*s - 1 = -z*b, 3*s - 3 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.907909055 - -137.907910515. Let k = 129 - y. What is k rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n + 1 - 6*n + 8*n - 3.\nAnswer: 19*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*p + 4*p. Let d(o) = 21*o. Does 8 divide d(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6*l + 4*a = -169, -98 = -2*l - a. Let c = -9 + 36. What is the remainder when l is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -95, -291, -649, -1217, -2043?\n\"Answer: -8*u**3 - 9*u**2 + u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.3, 2, 12, -157?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 - j - 4. Suppose -5*m + y + 34 = 3*y, -16 = -4*m + 4*y. Let a(q) = -4*q**2 - q - 5. What is m*w(g) - 5*a(g)?\nAnswer: 2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -22*i - 8. Let t be x(-9). Suppose -m + 44 = -t. Let f = -64 + 90. What is the highest common factor of m and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29136.77141+-0.05\nAnswer: -29136.82141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6*5.3\nAnswer: 31.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 2*s + 66, -20 = 4*s. Suppose 5*l - i = 16. Let g be ((-6)\/4)\/((-3)\/l). Solve -b + 10 = -g*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*p, -7*p + 11*p = -4*t + 40. Let k = 17 + -12. Is t at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a**2 + 45*a - 18. What is s(6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 19 = -3*j + 21, 4 = -3*j + b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -134?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*u - 40, -4*u + 28 - 3 = -v. Let b = 20193 + -20177. Solve -n + b = -u*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*z + 15837 = 61*z + 2771 for z.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1339\/6 equal to -223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 931040 rounded to the nearest ten thousand?\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfffokfhkfkfhdfkhfof. Give prob of sequence dfko.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 621.7 + -677. What is o rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.03 - 0.03. Suppose -11*u + 441 = 34. Let o = -187\/5 + u. Which is the third biggest value? (a) -2 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2291019 is divided by 2290946.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/10)\/(d*d\/(d\/(d*d**(-1\/3)\/d))))\/((d**(-5)\/d)\/d**(2\/13)))\/(d**(-1)*d*d**3)**(5\/4) assuming d is positive.\nAnswer: d**(1277\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/3)\/s)\/(s**(-2\/3)*s)*(s*s\/(s\/(s**1*s*s)))**39)\/(s\/(s**(-1\/14)\/s)*s**(2\/11)*s**(-2\/15)*s**(-3)) assuming s is positive.\nAnswer: s**(362393\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*u - 5*u. Let r(p) = -34*p**3 + 2*p**2 - p - 2. Let z be r(u). Let d be (4\/10)\/(-1 + 72\/70). Calculate the greatest common factor of z and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159 + -102. Let p = m - 56.8. What is the third smallest value in 0.1, p, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 3. Let a be l(-5). Let f be (-33)\/(-12) - 3\/4. Suppose -3*k = -i + 69, -2*k - 1 = f*i - 99. Calculate the greatest common factor of a and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 551005770 divided by -105.\nAnswer: -5247674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -12*t - 4 + 1\/3*t**3 - 3\/2*t**2. What is the units digit of p(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**20)**(-19))**(-44) assuming u is positive.\nAnswer: u**(-15884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 11:12 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 17. Determine l(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**0\/b)\/b)**(-9)*b**(1\/10)\/b**(-1\/8) assuming b is positive.\nAnswer: b**(369\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 7698888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 7:04 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, x: 5, k: 3, j: 2, o: 1}. What is prob of picking 1 o and 1 x?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 78305 * -15\nAnswer: -1174575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -4. Suppose 0 = -g + o*y + 22, -y - y - 110 = -5*g. Let s(h) = h**2 + 4*h - 6. Calculate the smallest common multiple of g and s(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*c + 18551 = 0, b - 9289 = 68*c - 71*c. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 38*d. Let m(f) be the third derivative of -5*f**4\/24 - 402*f**2 + f. Calculate p(m(n)).\nAnswer: -190*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -73. Let j = z + -29. Let d(w) = -3 - 2 - j + 2*w. Calculate d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 times 0.0785?\nAnswer: -0.02983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 19\/(-2)*(-4)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdgg when four letters picked without replacement from dgddggggdggd?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f - 9\/4*f**3 - 1\/4*f**4 - 5*f**2 + 0.\nAnswer: -f*(f + 1)*(f + 2)*(f + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5 + 1060*m**4 + 41335*m**3 - 42400*m**2 = 0. What is m?\nAnswer: -160, -53, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(57)\/sqrt(768))*-4.\nAnswer: -8 - sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22016805 or -22016804?\nAnswer: -22016804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = -4. Suppose 5 + 1 = w*i. Determine t, given that -2*t - 2 + 6 + 2*t**3 - t**4 + i*t**4 - 6*t**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 2*v - 2*p - 256, -4*v + p + 348 = 0. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 31, 105, 251, 493, 855?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 10*j**2 + 3*j + 34. Let x be m(-10). Solve -x = d - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/256743 and -28\/1887.\nAnswer: 4364631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38154 = 5851*r - 406767 for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455 and 509600?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((60\/(-8))\/3)\/((-26)\/((-5382)\/(-115))).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 + 175*j - 421. What is i(86)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 6 - -58 - 43?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*s - 22, 0 = 4*s - 2*s - 5*c - 26. What is the highest common divisor of s and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q - 59 + 59)*(3*q - 9*q - 4*q + (-3 + 3 - 2)*(3*q - q - q)).\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in hours?\nAnswer: 1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 9:44 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0788*-313\nAnswer: 24.6644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -2*d**4\/3 + 2*d + 40. Let q(v) be the first derivative of w(v). Let s(h) = -h. What is s(q(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.1, -0.104, -0.5, -4377?\nAnswer: -4377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -392 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58 in 261, 40, -2?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121020002000 - 2?\nAnswer: 121020001221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 162404 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 3. Let p(s) = -3*s - 5. Let q(z) = 5*l(z) - 3*p(z). Let o(g) be the second derivative of g**4\/2 - g. Determine o(q(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409 + 97*f**2 - 270*f**3 - 409 - 97*f**2.\nAnswer: -270*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-5*m + 0*m + 4*m) + 15*m - 2*m - 21*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 13*n - 16*n. Let h = -266 + 471. Suppose 4*y + 4*m - h + 21 = 0, y - 4*m - 61 = 0. Calculate the remainder when y is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = -n, -4*z + 10 = -9*z. Suppose 3*b - h = 12, 3*b - 3 = -n*h - 0*h. Let u(y) = 69*y - y**2 - 5*y**b + 2*y**3 - 1 - 67*y. Calculate u(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-168)\/128)\/(-7))\/((-8)\/(-32))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 3*j - j)*(12 - 4 + 29) - j - 3*j - 8*j + 0*j to the form w*j + c and give w.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4*(-2)\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -17 - (-1 + (0 - -2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 16, 26 in ascending order.\nAnswer: -1, 1, 16, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppjp when four letters picked without replacement from {j: 3, p: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.2 - 51.\nAnswer: -77.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**6\/720 - 7*q**4\/12 - 12*q. Let j(c) be the third derivative of k(c). Let t(f) = -9*f. Give j(t(u)).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 52 = -3*q. Determine p so that 29*p**3 - 1 - 2*p - 17*p**3 - 3*p**2 - q*p**3 - p = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f**2*f)*f)*f*f*f\/(f*f**20\/f*f)*f*f assuming f is positive.\nAnswer: f**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3\/8*o**3 + 45\/8*o**2 + 21\/4*o + 0 = 0.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 2:46 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -21. Let w(o) = -o**3 - 9*o**2 + 7*o + 5. Calculate the remainder when 137 is divided by w(f).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001642778 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -6063461 to the nearest one hundred thousand.\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 5*i**2 - 2*i - 6. Let a be u(-5). Suppose 28 = -2*x + 5*x - 4*k, -4 = -a*x - 3*k. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -593\/6 - -40\/3. Let s = -87 - l. Are s and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 3:20 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 2 + 36\/1. Let j be (-1100)\/(-132) - 2\/6. Suppose -6*n - z = -j*n. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -78, -139, -234, -363, -526, -723, -954?\n\"Answer: -17*m**2 - 10*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1353357*c*n**3 + 53*n**3 + 79*n**2 - 3*n + 19 with respect to c.\nAnswer: -1353357*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 182260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 19 = 33*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2817539 bigger than -19722777\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18547\/7 - 2651. What is the common denominator of v and -17\/1081?\nAnswer: 7567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (7 - (1 + 6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + -1*(4 + 0 + sqrt(108) - sqrt(108)*2*-2)*-6)**2*6.\nAnswer: 272160*sqrt(3) + 3515076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -31 - (-3 + -5 + 17 + -21)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 246 = -2*y + 3*q, -614 = -5*y + 3*q. Let p be (2\/y)\/((-14 - -5)\/216). Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**2 + 2*r - 7. Let d(l) = -l**2 - 1. Determine -5*d(x) - u(x).\nAnswer: -2*x**2 - 2*x + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.7 - -43.7. Put -36, q, 1\/3, -1 in ascending order.\nAnswer: -36, q, -1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 2610. Let s(r) = 5*r**2. Calculate s(w(a)).\nAnswer: 20*a**2 + 52200*a + 34060500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 14476587*p - 3.\nAnswer: 14476587*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*g**3 + 324*g**3 - 144*g**3 + 869*g + 3 - 85*g**3 in the form z*g**3 + q*g + x*g**2 + u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((9\/27)\/((-2)\/(-24)))\/(10\/(-45)). Let l(c) = 4*c + 80. Give l(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 14*u - 8. Let p(x) = -5*x + 3. What is 4*a(n) + 11*p(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 13. Suppose -5*r - 9 = 2*b, 0*r = -2*b - r - v. What is the third smallest value in -5, -3\/4, -0.1, b?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (1 - ((11 - 14) + 5))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3546329024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105793*w - 31440 = -105400*w for w.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3. Let i(t) = t + 1. Let r(w) = f(w) - 3*i(w). Determine r(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 28*u**2 - 46*u**2 + 17*u**2. Let z(x) = 63*x**2. Calculate z(a(f)).\nAnswer: 63*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1725\/(-1265))\/((-1)\/11).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820*f = -65*f + 9189 + 4971 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swzzscs. What is prob of sequence sws?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 5*j + 135. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (216\/21)\/(9\/42). Suppose -62*f + j = -60*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-2 + (-4)\/(-8))\/(15\/(-940))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 152301 (b) -0.04 (c) 2\/7 (d) 1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azaz when four letters picked without replacement from {s: 12, z: 4, a: 4}?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 20 = 3*y. Let i = 7 - y. What is the first derivative of -3 + i + 2 - m wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -878331 - 846963 = -6*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*k = -255, u + 2*k = -3*u + 212. Calculate the remainder when u is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 s when three letters picked without replacement from sjsssssjsssjss?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)\/sqrt(99))\/sqrt(11))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*o - 7 = -33, 0 = 3*p - 3*o - 51. Let v(j) = -3*j + 39. Let l be v(13). Suppose 9*n + l = 36. What is the smallest common multiple of p and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103630 and 345295160?\nAnswer: 345295160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2076\/1741?\nAnswer: -2076\/1741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 + 7 + -8 + -1 - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6050? (a) 29 (b) -1\/5 (c) 1 (d) 1\/3 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211220330031 - 12?\nAnswer: -211220330103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*b + 5*n + 8, -4*n - 8 = -2*b. Let z(a) = a**3 + 4*a**2 - 2*a + 1. Let r be z(b). Suppose 0 = -3*x + r + 36. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*j = 222*j - 1127 + 5443 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 122.752534 rounded to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1441 + -970. List the prime factors of x.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 17, a: 3}. What is prob of sequence hhha?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1468 and 6124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, 17, 0, 3 in increasing order.\nAnswer: 0, 2, 3, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 3*l**2 + l**2)*(2*l**2 - l**2 - 2*l**2) + 5*l**3 - 5*l**3 + 2*l**2 + 6*l**4.\nAnswer: 5*l**4 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 1. Let u be t(-2). Suppose -2*d - 2*f = -f + 4, u*f - 12 = 0. Suppose -z = 1 - 3. Put z, -3, d in descending order.\nAnswer: z, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 13*p**2 + 13*p - 6. Let o be y(12). Let q(z) be the first derivative of o + 0*z - 4\/3*z**3 + 0*z**2. Let a(h) = -4*h. What is q(a(v))?\nAnswer: -64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 84*y**2 - 275*y - 352. List the prime factors of o(93).\nAnswer: 2, 101, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*t**2 - 24*t - 7*t**2 + 15*t**2 + 28*t in the form s*t + v*t**2 + p and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a factor of 4766710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5*1192591\nAnswer: 5962955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:11 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 - 75. Let h(i) be the third derivative of 1\/12*i**4 + 3*i**2 + 1\/3*i**c + 0*i + 0. Differentiate h(j) with respect to j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 2. Let f(b) = -5*b + 9. Let z(v) = 2*f(v) + 9*m(v). Let u(o) = 49 - 6*o**2 - 4*o**2 + 7*o**2. What is z(u(r))?\nAnswer: 3*r**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.898*64855.\nAnswer: -58239.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007678014053 rounded to five dps?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 6*m = 0. Let j(h) = 14*h - 12*h - 7 + m. Is 2 a factor of j(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {h: 5, c: 5, q: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -44462*i - 45. Let r(v) = -12*v**2. What is h(r(a))?\nAnswer: 533544*a**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07604458 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(4*sqrt(18)).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c + 2*c + 0*c)*(2*c**2 + 5*c**2 - 17*c**2) as j*c + q*c**3 + x*c**2 + s and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 115 (b) 1\/4 (c) -3 (d) -0.049\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 12, d: 5}. What is prob of picking 2 y?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {x: 5, h: 4, o: 5}?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 202 = -3*y - 213, 5*y - 7 = 2*o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -94*q + 2700. Calculate a(28).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19877 and 5617546?\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-13\/7)*j*j)\/(j\/(j*j**8)) assuming j is positive.\nAnswer: j**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 32d9 (base 15) to base 13\nAnswer: 4ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3\/7 + 3*q**2 - 24*q + 144\/7 = 0. Calculate q.\nAnswer: -12, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 54229 = 880966. Suppose -3*z + 1762961 = -v. Round z to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/(-30))\/(1\/15*3))\/(6816\/613440)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1943 (base 16) to base 15\nAnswer: 1db2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.5 - -11.2. Let v = p + 1.3. Let g = 83\/4 + -21. Which is the second smallest value? (a) g (b) v (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/3 and 38\/58409035.\nAnswer: 175227105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1009399412 to 6 dps.\nAnswer: 0.10094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 8:38 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 677 = 21. Suppose -4 = -4*x, 0*q + 4*q - 2*x = a. What is the units digit of -2 + q + 3 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/(-30)*(-24)\/(-30)*33. Solve j - 10 = 12*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99.358*-1.\nAnswer: 99.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004356238909 rounded to 7 decimal places?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4373, 8744, 13115, 17486, 21857?\n\"Answer: 4371*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1077 = h, 5*b + h - 3*h - 2692 = 0. Suppose -2*i + 276 = -4*j, 2*i - b = -2*i + j. What is the remainder when i is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/2, -2, 5, -4\/5, 6, 0.8?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**5\/60 - 47*t**4\/12 + 35*t**3\/6 - t**2 + 3*t. Differentiate g(x) wrt x.\nAnswer: -2*x - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -186, 416?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12836220503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 4*d - 1. Let y(z) = z**2 + z - 1. Let h(u) = -7*u**2 + 3*u + 21. Let m(q) = h(q) + 6*y(q). Let r be m(10). Calculate i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 4*f + 7. Let p(b) = 4*b**2 - 13*b + 21. Let z(d) = -2*p(d) + 7*x(d). Suppose 9 = 4*y - 5*q, -3*y - q = 22 - 5. Let o = y + -1. What is z(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hythtthhhtyyty. Give prob of picking 3 h and 1 t.\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, d: 2}. What is prob of sequence ddpp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43196.\nAnswer: 2, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 244393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2932 + -1.3. Round q to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 518 and 15.8374175.\nAnswer: 533.8374175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-5))\/(-1)*110\/66)\/((-10252)\/(-932))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 5*f**2 - 215*f - 209. What is s(18)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2746619*p**2 + 249*p + 3811 wrt p.\nAnswer: 5493238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4109065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21324 by 73.\nAnswer: -21324\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102*v*z**3 - z**3 + 48*z**2 wrt v?\nAnswer: 102*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.8, 0, -18 in decreasing order.\nAnswer: 1, 0, -0.8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001001010101101000000100 + -11?\nAnswer: 110001001010101101000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 54 and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 32 = 8. Suppose v*n = y - 18, -2*y + 3*n + 8 = -8. What are the prime factors of -4 + y - -5 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 505 by 101.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 31\/((-2)\/(-2) - 0). What is the derivative of -23 + d + 6*h**3 + 3*h**3 - 16 wrt h?\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -53. Let x be (9\/3)\/((-15)\/o). Sort 3, -4, x in decreasing order.\nAnswer: 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35715718 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 3916565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5190*n - 664318. What is a(128)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1) + 8\/(-3)*(15 - (1 - -11))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083812006?\nAnswer: 2, 3, 23, 97, 155671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -163834 equal to -163826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16488269047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306359*n**3 + 612711*n**3 - 306350*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213568 (base 9) in base 6?\nAnswer: -22041442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 246.28 - 118.47. Let s = -131 + h. What is s rounded to one decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -2*m - u, 5*m - 14*u + 20*u - 70 = 0 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**3 - 37083*q**2 + 20253651*q - 20216565 = 0.\nAnswer: -12885, 1, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 47*k**2 - 11*k + 71. Does 12 divide v(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.057091 - 41.023909. Let y = 0.081 + o. Let d = y - -41.5. What is the nearest to -1\/4 in 1, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 2 + 3*d**2 - 4*d**2 + 3)*(2 - 3 + 0) + (65419 - 844*d - 65419)*(d - d - d) - 2*d + 2*d - 2*d**2 to a + q*d**2 + j*d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.345214um in nanometers?\nAnswer: 345.214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27183?\nAnswer: 3, 13, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jagjgaagaajjaag.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**7\/280 - h**5\/60 + h**3\/6 - 2*h. Let b(a) be the second derivative of r(a). What is the second derivative of b(z) wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a factor of 2536254184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118*b*m**3 + 175*b*m**2 + 241*b*m + 8*b - m**3 + 2*m - 1 wrt m?\nAnswer: -708*b*m + 350*b - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113265?\nAnswer: 3, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 6:36 PM?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Let f = -3 + 3. Let d = f + 0.2. Put 1\/3, d, u in decreasing order.\nAnswer: u, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17588614.54092 and -50?\nAnswer: 17588664.54092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from rrrrrcarr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*p**5 - 22*p**5 + 11*p**5 + p**3 - 2*p**5 - p**3 + (p + 2*p - p)*(5*p**3 - 2*p**4 - 5*p**3).\nAnswer: 29*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-9) + 76\/18. Let m = 612 + -605. Find the first derivative of 12 - 7*q**2 - n*q - m*q + 11*q wrt q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/p**(-1\/2))\/p))**6\/((p*p**(-2\/21)*p*p)\/p**(1\/5))*(p**(2\/5)*p**(-5))**9 assuming p is positive.\nAnswer: p**(-4316\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73106.76 days to minutes.\nAnswer: 105273734.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8705511586.\nAnswer: 2, 4352755793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4884*d - 1 - 2366*d - 2376*d.\nAnswer: 142*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-30) - 79\/(-6). Let q = 17 - i. Calculate the remainder when q is divided by -10 - -18 - (-3 - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {c: 7, s: 2}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 477834 and 9114?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25878*v**2*y - 101*v*y + 2*v + y - 1 wrt v.\nAnswer: -51756*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*w**3 + 386*w**2 - 60*w.\nAnswer: 2*w*(w + 15)*(13*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 12*j - 66. Suppose -3*t + 14 = -4*t - 5*r, 3*r + 12 = 0. Let a be f(t). Suppose 401 = a*o - 3*o - q, -2*o - q = -269. List the prime factors of o.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/90*(30\/5 + -12)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5\/(15\/949)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g\/(g**1\/g))))\/(g*g**(1\/9)))\/(g**(1\/2)*(g\/(g*(((g*g*g**(-2\/11))\/g)\/g)\/g))\/g) assuming g is positive.\nAnswer: g**(41\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485176?\nAnswer: 2, 60647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 8 + 1 + 4 + n**3 - 3*n**2 + n. Let k(o) = 4*o**3 - 13*o**2 + 9*o - 13. Give -2*k(j) + 9*z(j).\nAnswer: j**3 - j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161.4391 months in decades?\nAnswer: 18.0119925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/44)\/((-6)\/8). Let v be (1\/((-52)\/6))\/((-15)\/35). Let k = v + 16\/13. Which is the second biggest value? (a) n (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 124 = 8*h. Is h*(3\/(-3) + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -0.5, -1, -95577?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4\/8 + 3513*a**3\/8 + 21177*a**2\/8 + 10623*a\/8 - 17655\/4 = 0. What is a?\nAnswer: -5, -2, 1, 1177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23688.6496 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - c - 2 = -3*c, 0 = -3*h + 4*c + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 336492343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48217.16 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/7)*w)\/(w**(-1\/15)*w) assuming w is positive.\nAnswer: w**(-38\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624) + sqrt(624) + -6*(-1*sqrt(624) + sqrt(624)) + sqrt(624) + sqrt(624))\/(sqrt(60)\/sqrt(5)*-2))\/((sqrt(3600)*-2)\/sqrt(9)*4).\nAnswer: sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 819*g**3 - 5*g**2 + 4*g. Let h be d(2). Round h to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5964 divided by 1491.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1513272 is divided by 1107.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -188 - -184. Let g(p) = p**2 + p - 2. Determine g(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x**2 - 9*x - 9. Let i(h) = 3*h**2 - 4*h - 4. Let p(a) = 9*i(a) - 4*n(a). Let t(v) = 7*v. Calculate t(p(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-4)\/6 + 29. Solve x = -5*i + 2*x + g, -5*x = -4*i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 1, 11.\nAnswer: -100, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-21)\/(-20))\/((-15)\/40*-2))\/(40\/(-500))\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -835 - -855. Suppose 3*r = -2*r + 290. Calculate the remainder when r is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025586 to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28142 + 28123 - 84407 - 12*m**3 + 28142.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 34. Which is the second smallest value? (a) x (b) -2\/17 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-4\/11)))\/m)\/m)\/(m\/(m\/(m**2*m)*m*m)) assuming m is positive.\nAnswer: m**(-37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-390)\/(-66) + -6 - (-5500736)\/352?\nAnswer: 3, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/12)\/(2\/(-33)). Find the common denominator of -26\/11 and (a\/(-88))\/((-1)\/102).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/9 - 26*j**2\/9 - 49*j\/9 - 8\/3 = 0 for j.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p = -44 + 121 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4752 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775633803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1644 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277585654.\nAnswer: 2, 138792827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 25. Suppose -3*z - z = b - 6, -5*b + 12 = 2*z. Let w = -1.2 + -1.8. What is the biggest value in b, -0.2, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 14369.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245441 divided by 20.\nAnswer: 245441\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (82\/12)\/((-20)\/(-24)) + -8. Let h = -2.5 - -3. Which is the second smallest value? (a) -3\/11 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1279, 2558, 3837, 5116, 6395, 7674?\n\"Answer: 1279*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1045 divide 716822975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/630 and -73\/6?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.436 - -5.736. Which is the closest to -0.26? (a) i (b) 3\/4 (c) 1\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-36)*(-9)\/(-6)*28\/(-63)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhlq when four letters picked without replacement from hqlhhhrb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.927921 take away -0.107622?\nAnswer: 4.035543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*4*(1 + sqrt(162)))**2.\nAnswer: 18432*sqrt(2) + 166912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -6*y + 36. Let m = y - 5. Let g(o) = m*o - 7*o**2 + 5 + 3*o**2 - 11*o + 3*o**2. Calculate g(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1 - 5*o**2 + o**3 + 4*o**2 - o**2. Let i be x(1). Let q = -4 - -3. Which is the second biggest value? (a) i (b) -3\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqlqlqqqq. Give prob of picking 2 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 6 = 5*b. Suppose -b*u - 5*r + 13 = 2, -3*u = r - 10. Solve 0 = 3*v + 10 + 5, -4*n + u*v = -23 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603553*y - 3 + 5 - 603536*y.\nAnswer: 17*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3*v + 21 = 0, -2*t - 34 - 312 = -0*t + 43*v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 17 + 546\/(-84)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 0*b - 2*b + b + 1 - 1 + (3 - 1 - 1)*(0*b - 2*b + 4*b) - 3 - b - 1 + 3.\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -5)\/(14*9\/12). What is the smallest value in -0.02, 1\/2, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/6)\/(1 + 2042\/(-2044)). Suppose 30*q + m = 31*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**3*n**4 - 80*k**3*n**2 - 886*k*n**5 + 5*k - n**2 wrt n.\nAnswer: -48*k**3*n - 53160*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.34812 litres?\nAnswer: 9348.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g + 28. Let d = 74 - 66. Suppose -47 + d = 3*y. Does 5 divide w(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411048 (base 12) to base 15.\nAnswer: 1518b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32\/(-72))\/((-3)\/(9\/26)). Which is bigger: a or -3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 + 1)*(51 + 14 + 20 - 93 - 71*n)*(2 + 1 - 5).\nAnswer: 994*n + 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196208900.\nAnswer: 2, 5, 17, 211, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**2 - 16*w**2 + 9131*w**3 - 104 - 9215*w**3.\nAnswer: -84*w**3 - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 117*l**2 + 948*l - 828.\nAnswer: -3*(l - 6)*(l - 1)*(l + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(567) + -3*sqrt(567) + 1 + 3*sqrt(567))**2*-1.\nAnswer: -567 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 425*u**4 - 49 + 51 - 274*u**4)*(2*u - 2*u - 2*u) - 5*u**3 + 5*u**3 + u**5.\nAnswer: 1399*u**5 - 2*u**4 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s - 4. Let v be k(-4). Let x = v + -258. Which is bigger: x or -277?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + -3*sqrt(99) + (sqrt(99) - (sqrt(99) + 1 + 3)))**2.\nAnswer: 144*sqrt(11) + 955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 20 + -9 + -1 + -10 + 48 + -42?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = 10*h + 1, 0 = -4*d + 3*h + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 12, 36, 90, 186?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11947725 and 190.\nAnswer: 454013550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**2\/15 - 196*q\/15 - 4802\/15 = 0.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*p - 7*p - 8 = 0, -12 = 3*s - 3*p. Is (12717\/21 - s) + 40\/(-70) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, f: 3, e: 4, d: 1}. What is prob of sequence fefd?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (225*h - 25*h**3 - 225*h)*((h + 1 - 1)*(21 - 21 - 12) - 2*h - h + 2*h).\nAnswer: 325*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 3*w + 1. Let h be c(-2). Solve h*q + 2*a - a = 0, -3*a + 11 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 - 155582*d + 777976. What is h(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3732, 3069, 2366, 1623, 840, 17, -846?\n\"Answer: -20*a**2 - 603*a + 4355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 + -0.47. Let j = u - -0.31. Let a be (15\/(-6) - -3)*2. What is the second smallest value in a, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 33396416.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -5*t + 14, g = -3*t + 1 + 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 709 - 5989 = 12*y. Suppose -14*x = -4*x + 4390. Is x greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3798.6 * 1491.\nAnswer: -5663712.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -19*s - 67. Calculate a(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 168*b - 8828. Give o(210).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 4*p - 2. Suppose 0 = 2*s - 3*s + 5. Suppose 2*r + 5*z + 14 = 39, z = -s*r + 28. Suppose 0 = -w + 2 - r. Give x(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 18*g - c - 3*c, 5*g + g + 42 = c + 2*c for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4925308 is divided by 1641735.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -961*d - 67*d - 4 + 368*d - 1104*d - 965*d.\nAnswer: -2729*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -22\/525?\nAnswer: -22\/525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051307369 to the power of 1\/3, to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 3*r - 3. Let v be (-40)\/(-12)*(-12)\/(-10). Let o be (1*-1)\/(v\/(-32)). Is t(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 - 17*a**2 - 2*a - 8. Let t(q) = -q**3 - 6*q**2 - q - 3. What is 8*t(d) - 3*z(d)?\nAnswer: d**3 + 3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (11 - 11))*(12 + (-2232)\/217)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142 and 4092511.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**3 + 2*g**2 - 2*g + 4. Let n(k) = -k**3 + k**2 + 1. Let l(u) = c(u) + 4*n(u). Let b = -142 - -148. Give l(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3604252, 7208502, 10812752, 14417002, 18021252?\nAnswer: 21625502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -370, -173.\nAnswer: -370, -173, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 - 2)*(-h**2 + 2*h**3 + h**2) in the form j*h + g*h**3 + t + c*h**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -974058825*k**3 + 146465*k + 878790. Let g(m) = 13301*m**3 - 2*m - 12. Determine 2*b(w) + 146465*g(w).\nAnswer: 13315*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 6:22 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2127031?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-13 + (-4 - -13 - 4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-654269)\/84)\/(-11) + (-12)\/144. Calculate the greatest common factor of t and 14396.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 12*w. Let q be r(0). Solve n = -3 - q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90950795*g + 90950796*g - 181901593*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(15\/4))\/f)\/(f\/f**(-16\/5)) assuming f is positive.\nAnswer: f**(-159\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12428, 49836, 112184, 199472?\n\"Answer: 12470*m**2 - 2*m - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luulj. Give prob of sequence lj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140632 is divided by 277.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33061247927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 33. Let h = 0.026 - 3.226. What is the smallest value in -2, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 315 + -147. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4357 - 308.8643. Round j to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 19. Let l = j + 8. Sort 0, l, -3 in decreasing order.\nAnswer: 0, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, 13, 5, 0.2, -1.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45434 (base 8) to base 13.\nAnswer: -89a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57821186 and 70876.\nAnswer: 2726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 12*a**2 + 19*a - 440. What is n(10)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -12 - 4. Let h = -4 - r. Let n(k) = -k**2 + 4*k - 1. Give n(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -509 + 2?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/16 - 5\/(-4). Let t be (-20)\/(-35)*7\/l. Calculate the highest common divisor of t and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 1 + 0 - 1.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 561286553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**6\/120 + w**5\/20 - 5*w**4\/24 - w**3\/2 - 365*w**2 + 2. Suppose -5*g - 17 = -2*m, 0 = m + 5*g + 12 + 17. Determine o(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -35*w + 186. Give v(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - y + 11 = -35*n + 32*n, 0 = 3*y + n - 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 45. Suppose 0 = -5*c + 15, -p - p + z = 4*c. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4347 = -65*u. What is the remainder when 99 is divided by u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2684, 2489, 1588, -373, -3748?\n\"Answer: -59*a**3 + a**2 + 215*a + 2527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 22789 = -21177. Let m(t) = -t**2 - 7*t + 1. Let z be m(-6). Let x(h) = 2*h**2 - 10*h + 4. Calculate the remainder when p is divided by x(z).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 300132712*k*w - 846352*w + 40 with respect to k.\nAnswer: 300132712*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52102139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 5*f**2\/2 + f + 1. Calculate g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(-1500) + 7191\/180\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 36*z**2 - 3*z**2 - 31*z**2. Suppose -2*y - 10 = -7*y. Let j(x) = x**2 + x**y + 0*x**2. Give o(j(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10) + 2)\/((-2736)\/105 + 26)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44202 = 95*r + 46197 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11792 + -11797 - (1 + (1 - 2 - 66) + 1)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247*a**4 + 53*a**3*o**2 + 3*a**2*o - 10314*o**2 wrt a.\nAnswer: -5928*a + 318*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250317 is divided by 168?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l - 1. Let h(d) = -83*d + 179*d - 102*d. What is h(g(c))?\nAnswer: 60*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 313?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 538 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1164856 and 308?\nAnswer: 1164856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*(-4*r**4 + 4*r**4 - 2*r**4) - 20*r**4 - 4*r**3 + 19*r**3 + 15*r**4 in the form y*r**3 + k*r**4 + b*r**2 + l*r + a and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + -3 + (4 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 15*a - a**2 - 191 + 132. Let s be i(-6). Let p(w) = -w**2 + 5*w + 8. Let n be p(6). Solve -s = -0*d - d, 3*d - 1 = -n*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -110 <= 6272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 587510.3?\nAnswer: 58751.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003347638 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2705?\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31079?\nAnswer: 31079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + 3.94. Let r = 141 - 185.2. Let n = r - -44. Which is the biggest value? (a) n (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*(5 + ((sqrt(77) - (sqrt(77) + (1*sqrt(77)*-2 - sqrt(77)))) + sqrt(77))\/((sqrt(84)*3)\/sqrt(12) - sqrt(7))))**2.\nAnswer: 2000*sqrt(11) + 6900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 35, 57, 81, 107?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, p: 12}. What is prob of sequence ff?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 0*q**5 - 2\/3*q**6 + 0*q - 1\/2*q**2 + 0*q**4 + 0*q**3 + 3. What is the second derivative of c(g) wrt g?\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b*h**3 - 8*b*h - 829781*h**3 - 172*h**2 - 261*h wrt h.\nAnswer: -36*b - 4978686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*b = b + 48, 0 = 5*a - 4*b - 48. Let h(k) = k - a + 2*k - 3*k + k. Calculate h(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 84\/22 + (-2)\/(-11). Suppose -f*o = -o - 54. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 28. Let v = -41 + l. Calculate the common denominator of 76\/(-6)*v\/8 and -85\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 7. Let j(x) = x**3 - 20*x**2 + 36*x - 13. Let i be j(18). Let w be u(i). Solve -3*h = -5*p - 4, -5*h - w = -h - p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2*c + 452, -493 = -7*w + 3*c + 259. What is the greatest common factor of w and 2156?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 34*s**2 + s + 33. Determine q(-34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-37)\/(-4) + (-2)\/8. Suppose v + 409 = 4*r + 384, r + 2*v = -32. Calculate the greatest common factor of r and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226209.\nAnswer: 3, 75403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**2\/2 - 7*k - 11. Let y(m) = -m + 1. Let i be y(-4). Suppose 14 = -i*l - 21. Let a(c) = c + 8. Determine l*u(q) - 6*a(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**5\/70 - 13*o**4\/14 + 58*o**3\/7 - 136*o**2\/7 + 10*o + 78. Factor d(u).\nAnswer: 2*(u - 34)*(u - 4)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -9. Suppose 3*q + 2*q = m. Sort 4, q, -3 in increasing order.\nAnswer: -3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407843133 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2448) + 2 - sqrt(2448))**2 + -1)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 119151*0.06\nAnswer: 7149.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2921 divided by -6\nAnswer: 2921\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3152)\/1970*9\/6.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -170914084?\nAnswer: -341828168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467560?\nAnswer: 2, 5, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 3*p + 3*z - 423, 4*z = -8. Let h = -61 + p. Are h and 56 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72989 < -72989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 554840 divided by -277420?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/4 - 22*g + 87\/4 = 0. What is g?\nAnswer: 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -7) + (43 + -50 - (-1 - 11))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1066*p**2 + 2*p + 2. Let y(n) = -3*n**2. Determine b(y(f)).\nAnswer: 9594*f**4 - 6*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2961 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: What comes next: 3171, 3173, 3175, 3177, 3179, 3181?\nAnswer: 3183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.87617 - -5.87617. Let p = 1 - -2. Sort p, g, -4, 6 in ascending order.\nAnswer: -4, p, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {h: 8, b: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -87511 plus -1787280235?\nAnswer: -1787367746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*i + 15, g - 3*i = -3*g + 25. Let v(m) = -m**2 - 17*m - 16. Let b be v(-14). Let d = b - g. Solve 4*k = 4 + d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 7*w**3\/3 + w**2\/2 - 4*w - 2. Is 14 a factor of d(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**6\/30 + m**5\/20 - 2*m. Factor t(q).\nAnswer: -q**3*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 811198.1 - -1.5.\nAnswer: 811199.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3242, 3244, 3246?\n\"Answer: 2*j + 3240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27343 and 8618218.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 0*c - 5*c)*(-2*c**3 + 2*c**3 - 5*c**4 + (-2*c**2 - 2*c**2 + 5*c**2)*(-5*c**2 + 4*c**2 - c**2)).\nAnswer: 14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -155, 1, -2 in decreasing order.\nAnswer: 1, -2, -5, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -64*b**5\/3 + 23*b**4\/6 + 1264*b**2. What is the second derivative of q(g) wrt g?\nAnswer: -2560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 10 = -8*z, 0 = 4*y - z - 170. Factor 10 + 0*x**3 - 4*x**3 - y*x - 8*x + 5*x**2 + 40*x**2.\nAnswer: -(x - 10)*(x - 1)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**3 - 2*j**2 - 9*j - 8. Let x = 74 - 77. Let p be r(x). Is 82 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2235 (base 7) to base 4.\nAnswer: 30222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 + 4*l - 3. Let u(z) = z**3 - z + 1. Let c(m) = o(m) + u(m). Let s = 3 + -7. What is c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 13*i**2 - 21*i - 53. Suppose 3*w + 2*d = -36, 12 = 35*w - 36*w + 2*d. Let z be v(w). Sort -3, 5, z, -2 in increasing order.\nAnswer: -3, -2, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2078.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 7:31 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.5 + 15.5. Let k be (-1)\/3 - (-1954)\/(-6). Let p = k - -1961\/6. What is the nearest to p in -5, 1\/7, j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2aa8911 (base 11) to base 6\nAnswer: -305503343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31937, -63869, -95797, -127721, -159641, -191557?\nAnswer: -223469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 5*r + 6 + 12 + 3*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*b**3 - 2*b**6 + 10*b**2 - 133*b**3 - 28*b**3 + 26*b wrt b.\nAnswer: -240*b**3 - 900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.233299ml to litres.\nAnswer: 0.005233299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*-1 + 0 + -4*sqrt(832)*-3)**2 + 1 + 3.\nAnswer: 100676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 752*t - 2. Let f(d) = -1493*d + 2. Calculate -3*f(j) - 5*u(j).\nAnswer: 719*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 22*s - 3*s to the form q + r*s and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*f + 121*f + 184 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 2*a - 28. Let m(v) = 3*v**2 + 4*v + 57. Let x(b) = 2*m(b) + 5*s(b). What is x(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/8)\/d*d*d*d*d**(-4))\/(d**(3\/2)\/(d**(-2\/17)*d))*d**(-4\/3)*d**(-14) assuming d is positive.\nAnswer: d**(-6967\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18\/5, 0.16, -0.2, 0?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 88 (b) -4.5 (c) 9\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 115293.2l?\nAnswer: 115293200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.95134mm in meters?\nAnswer: 0.03795134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, 20, -2, 3, 35, 2.\nAnswer: -2, 2, 3, 20, 35, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 17. Suppose 0 = -8*r + 4*r + 204. What is the units digit of (r\/q)\/((-2)\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647416 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i - 2. Let u be m(2). Let f(g) = -2*g**2 - 12*g - 7. Let w be f(u). Let b = 14 - w. Round b to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**3 - 8*a**2 + a + 9. Let j be h(-3). Suppose 11*z + 60 = j*z. Calculate the greatest common divisor of 105 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -10.\nAnswer: -10, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 - 22*k - 18*k + 8*k.\nAnswer: k**3 - 32*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - 4*x)*(-x + 2*x + 16 - 7)*(x**2 + x**2 + 3*x**2).\nAnswer: -10*x**4 - 90*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 40. Does 29 divide p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21162, 84612, 190346, 338352, 528618?\nAnswer: 761132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 - -140. Let q = x - -21. Does 25 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 36*k - 58. Let l be g(2). Suppose -2*o + 4*f = -15192, 0 = -5*o - l*f + 11*f + 38006. What is o rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 27 = 993. Let y = -67 - j. Calculate the greatest common factor of y and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 20*b + 14. Give y(-11).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 52\/2380747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15547706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 5*o + 2*o + 12 - 4*o. Let g be w(4). Let p be ((-3)\/(-12))\/(g\/(-32)). Solve k = p + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 30 = 2*n, -5*h - n = -6 - 19. Suppose -6 = 3*b, -h*t + 17*b = 13*b. What is the second biggest value in 2.7, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60921408 + -17117.\nAnswer: 60904291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69190 and 31228.\nAnswer: 29198180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -21*u**2. Let i = -15 + 19. Let w be (-90)\/(-20)*4*(-2)\/(-12). Let r(l) = w - 7 + i - l. Determine s(r(o)).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -267*t - 2. What is the units digit of a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2189*j + 39960 + 22547 = 29899 - 57141 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11051154 by -54.\nAnswer: 204651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 2762102?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34826*o**4 + 42*o**3 - 472140*o**2.\nAnswer: 835824*o + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 = -2*w + z, 5*w + z - 3*z = 1016. Suppose 8*v = 6*v - w. Find the common denominator of 29\/6 and 6\/(-21) + v\/(-504).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661865 is divided by 37.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1272)\/(-1378))\/((-2)\/(-78)). Solve 5*l + m = -5*k + 11, -3*l + 4*k = -6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + (0 + 0 + sqrt(1053))*5)**2.\nAnswer: 180*sqrt(13) + 26329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 6*p + l - 45, 3*p + 4*l = -4. Let d be ((-12)\/p)\/((-2)\/(-4)). Suppose 5*s + 7*m - 2*m - 235 = 0, -s = -d*m - 55. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 218 + 182. Suppose -15 = -3*g, -4*g + k + 1300 = 3*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 25*d**2 + 24*d - 83. Determine f(5).\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 3:00 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -78*m**2 - 2*m**3 - 74*m + 21*m**2 - 19*m**2.\nAnswer: -2*m*(m + 1)*(m + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*s = 90, 125 = 5*g - 7*s + 12*s. Let n be (-2308)\/(-8) - (-9)\/6. Calculate the greatest common divisor of n and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 1929?\nAnswer: 13503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-94 - -91) + (-11)\/(-2) + -2. Which is the fourth biggest value? (a) -2\/3 (b) 4\/5 (c) 0.3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 20.9. Suppose -135*g + 138*g = 2*y + 33, -5*g + 51 = -3*y. What is the second smallest value in 0.4, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s - 8. Suppose 5*v + 4*a = a - 114, -4*a = v + 16. Let k = -18 - v. Is z(k) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x. Let y(u) = u**2 - 12*u - 5. Let l be y(12). Let m(b) = -1. Let j(c) = c + 4. Let z(o) = 2*j(o) + 9*m(o). Determine l*s(p) + 2*z(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 24 = 4*d, -2*z - 2*d - 10 + 0 = 0. Let t be 2 - 8\/z - -1. Solve 22 = -t*x + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-10)*6)\/(-3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -236431 - -236569. Suppose -5*t + q + 119 = 0, 0*t = 3*t - 4*q - 85. What is the highest common factor of d and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267419 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = 5*y, 0 = 4*p - 5*y + 7. Let t be (p - -15) + (-3 - -2). Calculate the highest common divisor of t and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*p = 190, -2*l = 8*p - 12*p - 160. Let j = l - 75. Let g = -30 + 57. Calculate the remainder when g is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41404.89 decades in millennia?\nAnswer: 414.0489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Let s be ((-1)\/3 - (-2051)\/(-21))\/(-2). Suppose 0 = -2*a + 4*v + 78, 3*a + s = -3*v + 139. What is the greatest common divisor of j and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178420 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-4 - -1)) + (14 - 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/7 + 106*l**4\/7 - 582*l**3\/7 - 106*l**2\/7 + 580*l\/7 = 0. What is l?\nAnswer: -58, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:23 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1413.64 to the nearest 10.\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(2\/37)*b)*b)\/b**(2\/61))**(2\/169) assuming b is positive.\nAnswer: b**(4122\/381433)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**4*j - 5*g**4 - 2*g**2 - 218*g + 2*j wrt g?\nAnswer: 72*g*j - 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024883 is divided by 85405?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 + 8256*s**2\/5 - 11360256*s\/5 + 5210570752\/5.\nAnswer: -2*(s - 1376)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/32*20 + 9873\/(-1932) and -101\/6.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8912 divided by -557.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -94, -98, -102, -106, -110?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*u = 81, 0*u = 3*k - u - 118. Let s(m) = m - 8. Let p be s(6). Let i = p + k. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*q**4 - 61671057*q**3 - 3338382*q**2 - 8*q wrt q?\nAnswer: 96*q - 370026342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 564145519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) 1\/9 (c) -18\/11 (d) 0 (e) 0.46 (f) -0.1 (g) 2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdhddvdhddhdddhddh. Give prob of sequence hvd.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 159 and -20564.\nAnswer: -20405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (1 - 215\/(-110)). Let z(u) = u**2 - 5*u + 3. Let h be z(4). Which is smaller: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 343\/(-14) - (-2)\/4. Let m = y + 33. Suppose m*r = 4*r + 275. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n + 1. Let g(z) = -2*z**3 - 3*z**2 + z - 2. Let a(o) = g(o) + 4*p(o). Determine a(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.04 (c) -2\/3 (d) 1008 (e) -1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:06 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 2:01 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**3 - 4*m. Let y(r) = r**3 - r. Determine 5*w(x) - 20*y(x).\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107212905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -43. Let n be i\/(1 + 10*(-3)\/12). Solve -n*w = -3*k - 8, 0*w + 8 = 4*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 19*a**3 - 4*a**2 + 11*a + 7. Let l(g) = 10*g**3 - 2*g**2 + 6*g + 4. What is 11*l(f) - 6*p(f)?\nAnswer: -4*f**3 + 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 4 (b) -0.2 (c) 0.2 (d) 3602806\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 102 - 5?\nAnswer: fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**4 + 0*c - 2*c**4 + c + (c**2 + 4 - 4)*(2*c**2 + 6*c**2 + 3*c**2) to the form n*c**3 + s*c**4 + j + p*c**2 + m*c and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 9*b**2 - 10*b + 1. Let n be d(5). Let a = -42 + n. Suppose -a*s + 2178000 = -6*s. Round s to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 0, -1031980, 0.19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23440 (base 6) in base 12?\nAnswer: 1b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 19*d - 66. What is the lowest common multiple of 30 and h(6)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 4604.\nAnswer: 32228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496051.\nAnswer: 496051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 820*j + 96756. Calculate c(-118).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/5 + 3446944*y\/5.\nAnswer: 4*y*(y + 861736)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36540 divided by -5220.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**28\/n)*n)\/n)**(-2\/71)*(n\/((n**(1\/4)\/n)\/n))\/(n\/(n\/(n*n\/n**37))) assuming n is positive.\nAnswer: n**(10929\/284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, 349, 1082, 2107?\nAnswer: 3424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4606 + 156*n**3 + 4606 + 214*n**3.\nAnswer: 370*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = -1759960 - 583054 + 559465. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o = 12*o - 66 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2271, -14.\nAnswer: -2271, -14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.1. Let t = -0.3 - d. Let z = t - -0.1001. Round z to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 5 - 2*w**2 - 2*w + 10 + 3*w + 4. Let u be p(0). Calculate the greatest common factor of u and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/241 - 713\/1205. Let q = -13\/4 - -161\/52. Let v be (225\/(-27) + 7)*3. What is the second biggest value in d, v, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 1. Let z(i) = 4*i + 24. What is -2*p(g) - z(g)?\nAnswer: -2*g - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*t**3 + 44*t + 8*t**3 + 7*t**3 + t**2 - 73*t**4 + 2*t**3 wrt t.\nAnswer: -1752*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.1 (c) 3\/4 (d) -2 (e) 59\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 13. Find the third derivative of 2*l**4 + m*l**2 + 0*l**2 - 2*l**2 wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 6, 7, -3, 2 in descending order.\nAnswer: 7, 6, 4, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 0.047, -20\/3, -71, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {n: 3, a: 12}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 divided by 310?\nAnswer: 92\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d. Let f(r) = -25*r + 19 - 76*r - 19 + 30*r. Give f(u(o)).\nAnswer: -142*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 5*f**2 + 2*f + 2. Let b be d(5). Suppose -b = -c - 3*c. Suppose -531 = -c*p - 6*p. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/1587614 and 131\/12684.\nAnswer: 9525684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 9:32 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -0.3, 4, 3\/7, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2 + sqrt(128))*5 - (-1 + sqrt(128) + 2 + sqrt(128))) + (sqrt(128)*5 + -5)*-3 + -2)*2)**2.\nAnswer: -16896*sqrt(2) + 75664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-15))\/((-2)\/20). Let q(m) = m**2 + 6*m - 6. Is q(g) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hexxihhhkiihiikix. Give prob of sequence ixe.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 2*q + 2*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 567443666*j - 482548820?\nAnswer: 567443666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/9*q - 2\/9*q**3 - 2\/3*q**2.\nAnswer: -2*q*(q + 1)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1489?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 18*s**3 - 10*s**2 - 51*s + 17. Is z(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/5 (b) 2\/3 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 6 - (-7 - 9) - -13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.38 and 9459.\nAnswer: -3594.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -5. Suppose -f*i + 22*i + 6 = 0. Solve i*v - 2 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 34 = 2*y, 3*w - 6*w + 3*y - 3 = 0. Let u(i) = -24*i**2 + 18*i**2 - 9 + 6*i + 3 + 2*i**3. Let c(m) = -m**2 + m - 1. Calculate w*c(n) + u(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/403 and 121\/10.\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 19. Let q(x) = -14*x. What is the units digit of q(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18a3 - -1?\nAnswer: -18a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -19 - (-27 + 9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -2\/9*g**3 + 1\/18*g**4 + 0 + 10*g + 0*g**2. Factor t(n).\nAnswer: 2*n*(n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b - 3bc0?\nAnswer: -3c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 242 - 238. Suppose p = -o + 4*z - 4, 3*o - 20 = z. Solve 3*w + 11 = -0*w + 5*h, -2*h = -o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -848 divided by -12?\nAnswer: 212\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/10 (b) -2 (c) 1\/5 (d) 19 (e) -3\/7 (f) -7 (g) -1447\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y + 237150. Let o = 27430 - y. Round o to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1067, -17, 3.\nAnswer: -17, 3, 1067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -b4 (base 14) to base 6\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (5 - (-7 + (10 - 5))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - 3.8. Let i = 16.5 - 16. Sort 0.3, i, s in descending order.\nAnswer: i, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 n when four letters picked without replacement from lnllnnllnllnlnln.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**5\/20 - w**4\/3 + w**3 + 3*w**2 - 27*w. What is u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*0.1480701\nAnswer: -0.004442103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/3)\/(6*(-7)\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -85440274641 less than -5?\nAnswer: 85440274636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 5, f: 3, m: 3, u: 1}. Give prob of picking 2 b.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30973?\nAnswer: 47, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**2 - 4*j**2 - 13*j**2)*(-40*j - 3 + 26*j + 19*j).\nAnswer: -50*j**3 + 30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -19*x**2 - 25*x**2 + 42*x**2. Let f(a) = 36*a**2. Determine f(w(g)).\nAnswer: 144*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from {t: 2, o: 10}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-162)\/(-48))\/9)\/((-33)\/(-264)). Solve -5*b - 2*c - 9 = 0, 2*b + 172*c + t = 171*c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4082582, -4082583, -4082584, -4082585?\nAnswer: -4082586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0.4, 0.02425.\nAnswer: 0.02425, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 11 = -21. Suppose 3*p - 5*g + 0*g - 1086 = 0, 3*g + 724 = r*p. What are the prime factors of p?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 17127545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*i**3 - 51*i**3 + 83*i**3.\nAnswer: -91*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 711*p - 414*p + 0 + 0.\nAnswer: 297*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**3 + 1. Let w(c) = 100*c**3 - 75. Calculate -150*v(m) - 2*w(m).\nAnswer: 250*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/5 - (-1 + -3). Suppose -2*u = -5*z + z + 14, 0 = 4*z - l*u + 1. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.061501 micrograms?\nAnswer: 0.000001061501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, v: 15}. Give prob of picking 1 x and 2 v.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 61089856*w**4 + 2809898896*w**3 + 12512634625*w**2 - 48058050*w + 46125 = 0.\nAnswer: -41, -5, 15\/7816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 times -0.0079?\nAnswer: -0.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 4*o + 13*o**3 - 4*o.\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.154 rounded to one dp?\nAnswer: 61.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104.7165 - -0.5.\nAnswer: -104.2165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(-31*53\/(-123225))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + 4*w**3 + 1 + 2*w - 2*w + w**4 as h*w + y*w**4 + z*w**2 + f*w**3 + j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uttu when four letters picked without replacement from {t: 2, u: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7616319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*s = -501*s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 4*a - 37)*(1889 - 144*a**3 - 1889)*(-2*a - 3 + 3).\nAnswer: -1152*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 6 = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128226, 128229, 128234, 128241?\nAnswer: 128250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15658 or -62633\/4?\nAnswer: -15658","meta":{"dup_signals":{},"source":"comparison__pair_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: Does -1357 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 16 = -632. Let s(i) = 5*i**3 - 67*i**2 - 44*i + 46. Let w be s(14). What is the greatest common divisor of w and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9080590111291 - -19?\nAnswer: -9080590111272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**4\/6 - k**3\/3 + 26*k**2. Let l(u) = u + 1. What is f(i) + 3*l(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2 - 5*x + 60 = 0 for x.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 - 104. Solve -k*x = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149796 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -41, 9 in decreasing order.\nAnswer: 9, 4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.607092 rounded to three dps?\nAnswer: -2.607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14204 and 36716.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*a + 233 = 0, -4*a - 16 = -4. Calculate the remainder when r is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 45*u**2 + 46*u + 81. Let z be n(-44). Let o(a) = a**3 + 7*a**2 + 4*a + 7. Let x(w) = w**3 + 6*w**2 + 3*w + 6. Calculate z*x(f) + 6*o(f).\nAnswer: -f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28692 = z - 4*z. Let r be z\/(-22365) + (-3)\/(-7). Let b = r + 3313\/355. Find the common denominator of b and 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 2*l + 2*l - 27, 0 = -5*l + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 - 53*x + 30. Let z be w(16). Let b = z - -53. Solve j = -j - b*u + 10, 0 = 2*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 424 - 201. What is the hundreds digit of s + (-6)\/(2 + (-21)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 0*m**5 + 0*m**2 + 1\/6*m**6 + 0*m + 0*m**4 - 1\/3*m**3 + 1. What is the third derivative of o(p) wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**4\/7 + 2*x**3\/7 + 22*x**2\/7 + 2*x.\nAnswer: -2*x*(x + 1)**2*(3*x - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9799119.\nAnswer: 3, 11, 98981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a century?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*h - 250 = -102*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 11) in base 7?\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/27 - -2) + (5 - (-3247)\/(-765)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g = -54*g - 26. Solve 2*u - 4*k - 14 = 0, -3*u + k = 2 - g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10144687*f + 10144958*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 5284\nAnswer: 1056.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13947863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1749*c**3*j + c**3 - 22*c*j - 103*c + 6 wrt j?\nAnswer: 1749*c**3 - 22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 15) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2083*d - 2083*d - 15*d**3.\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 11. Let f(n) = 4*n**2 + 44*n + 8. Let r be f(-11). Let k(t) = -t**2 + 12*t - 34. Let o be k(r). What is the second smallest value in 0.5, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206620 + 0*i - 206574 + 2*i.\nAnswer: 2*i + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/1*(-5)\/(-5). Let q(o) = 3*o - c*o - o. Let h(k) = -k. Calculate 9*h(r) - 4*q(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 13*n**2 - 19*n**2 - n + n - 107*n**2 to y*n**2 + z*n + k and give y.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10987483*a**2*c**2 - a**2*c + 29*a**2 + 3*a*c + 199*a + 3 wrt c.\nAnswer: -21974966*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-14 - -19) - 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43\/135 - 2\/135. Which is the closest to -0.03? (a) v (b) -4\/3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 0. Let d be (12\/4)\/(b\/(-5)). Let f be (6\/d)\/((-3)\/(-120)). Solve -2*x = 2*x + f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**2 + 3*x**4 - 6*x**2 + (-5*x + 3*x + 0*x + 15 - 15 - 4*x + (1 - 1 - 2*x)*(-2 + 4 - 1) + 2*x - 5*x + x)*(-4*x**3 - x**3 + 6*x**3).\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 7:08 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 669 - 666. Suppose 18 = u + 1. Suppose -3*n = 2*n - x - u, 0 = -n - r*x - 3. Solve 2*z - n = -a, -4*a = -0*z - 2*z - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -3278?\nAnswer: -327a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 2. Let z be (-12)\/(-9) - i\/(-9). Suppose 0 = r - 0*r - z. Solve p + r*p - 6 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 8*m - 2. Let r be x(-6). Suppose -5*b = 4*k + r - 38, 3*k + 41 = 4*b. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91598.2 rounded to the nearest one hundred?\nAnswer: 91600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.51008 - -95.\nAnswer: 111.51008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129.6 - -130. Let w = -87751\/2 + 1132907\/26. Let k = 302 + w. Put k, l, 1\/4 in increasing order.\nAnswer: k, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -8. Calculate the remainder when 16 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0237 to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -25. Which is the smallest value? (a) q (b) 3 (c) 2\/15 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -24, -66, -148, -282, -480, -754?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 21. What is the nearest to -1\/2 in p, 2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08 + 1.577?\nAnswer: 2.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8678 + 12825 - 4533*c + 9101 - 4*c**3 + 380*c**2 + 16752 - 1867*c.\nAnswer: -4*(c - 75)*(c - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(2\/3)\/l)*l\/(l**(-16)\/l))**(3\/8) assuming l is positive.\nAnswer: l**(61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1707*w**3 + 8*w. Let l(r) = 1138*r**3 - 5*r. Calculate 5*a(q) + 8*l(q).\nAnswer: 569*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 10:22 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83252 - 294628 = -1745*y - 81*y - 576*y for y.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 3*w**2 + w + 4. What is the lowest common multiple of 4 and m(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 349600 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 838004527 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 times -4789.8?\nAnswer: -1820.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462414839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292389?\nAnswer: 3, 97463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34227 + 6583 = 11*a. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5 + v - 4*v**2 + 2*v**4 + v**3 - 4*v**4 + 2*v**2 as b*v**4 + n*v + q*v**2 + p + h*v**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 460 and 140?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 790*k + 38. Does 28 divide q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, p: 1, f: 6, h: 1, j: 3}. Give prob of picking 4 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134629 = 5*u + 6*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/((-2409)\/396)*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(9) + 3*sqrt(45)\/sqrt(5))*-4 - ((0 + sqrt(63)*2)**2 - (-3 + (-1*sqrt(63) - sqrt(63)))).\nAnswer: -255 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w + 36. Is p(-6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 37*u - 41*u. Let v(a) be the third derivative of -2*a**2 + 1\/360*a**6 + 0*a + 0*a**4 + 0*a**3 + 1\/630*a**u + 0 + 0*a**5. Solve v(b) = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**2 - 24. Let j(g) = -g**2 - 1. What is -24*j(y) + r(y)?\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63503025 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2727*t**3 + 5810?\nAnswer: -8181*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - b + 6. Let l be m(0). Suppose j - l*j = 45. Let k = j + 16. Calculate the remainder when k is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(114)*2 + sqrt(114))*-6)\/((sqrt(66) - (sqrt(66) - (sqrt(66)*-1 + sqrt(66) + sqrt(66))))\/sqrt(11)) + (-3*(-4 + -1 + 2*sqrt(19) + -2))**2.\nAnswer: -270*sqrt(19) + 1127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 3480?\nAnswer: 347b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -326\/13 (c) -19 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*d + 20 = 0, -336 = -3*s + d - 320 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d**2 - d**2 + 4*d**2.\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2276769349 - -0.17?\nAnswer: -2276769348.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1359 - -1358.8. Which is the closest to 1? (a) g (b) -4 (c) 5\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47.03 + 0.03. Let c = -42 - b. What is the second biggest value in c, -2\/7, 1, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -152 + 69. Let o = p - -82.6. Sort o, -0.9, 2\/3.\nAnswer: -0.9, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*a**2*l*r*t + 71*a**2*l*t - 1188*a**2*r + 10*a*l*t - 1414*a*l + 2*l*r*t + 6*r wrt a?\nAnswer: 46*l*r*t + 142*l*t - 2376*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3114 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*30\/(-260)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a micrometer in nanometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30059 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 583119552 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010001100001 (base 2) in base 14?\nAnswer: -1c89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 2*r - 2*r)*(-2*r + 4*r - r) + 53*r - 112*r + 5 + 2*r**2 + 55*r.\nAnswer: 3*r**2 - 4*r + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598*p**2 + 7*p**3 - 17*p + 0*p**3 - 599*p**2 - 5*p**3 + 17*p.\nAnswer: 2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 12, -2*s - b - b + 3422 = 0. Suppose s = 4*k + 347. Round k to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44272, -88365, -132448, -176515, -220560, -264577?\n\"Answer: a**3 - a**2 - 44097*a - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 40668.\nAnswer: -40672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3309*m + 147. Is x(-1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778407.2km in millimeters?\nAnswer: 778407200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176802021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + -83?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**3 + 2. Let u(w) = 9*w + 13*w + 8*w**2 - 22*w. Determine u(x(t)).\nAnswer: 72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*b + 23*b**3 - 13*b + 2*b - 3*b**2 wrt b.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15193234 divided by 16?\nAnswer: 7596617\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-3*d + 2*d - 6*d) - d + d - 2*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9656 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/11 (b) 3\/128 (c) 71 (d) -0.3 (e) -0.1 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -170*n**2 + 325*n + 30.\nAnswer: -5*(n - 2)*(34*n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 3}. Give prob of sequence qq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/13, 2\/23, -4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 1557 = 1836. Let w = -257 - y. Let t(f) = -f - 4. Let c(u) = -1. Let i(p) = -2*c(p) + t(p). Determine i(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 <= 216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 32) + 2 + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -2.3. Let h be (-26 - -36) + 84\/(-9). Let p = 8 - 8. Which is the nearest to u? (a) h (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3882, 7928, 11974, 16020, 20066?\nAnswer: 24112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1297\nAnswer: 5\/1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10317 less than -2306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758744*k - 2204 = 758686*k for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*f + 5*y, 12*f = -4257*y + 4260*y + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/(-16720))\/((-2)\/(16\/(-3))*-2)?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**2 - 4*c*d**2 - 3*c*d - d**2 - 314 with respect to c.\nAnswer: -6*c - 4*d**2 - 3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -523, -1986, -4873, -9658, -16815, -26818, -40141?\nAnswer: -57258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 106 = 2*d, 0*d = -4*o - d + 97. Let f = 90 + 35. Calculate the greatest common divisor of f and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-10 - 0)) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**4\/4 + 2*r**3 - 4*r**2 + 6*r - 1. Let d be (-3)\/5 - (-480)\/(-75). List the prime factors of w(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 261*m*q**3 - 35*q**3 + 5*q**2 + 2*q wrt m.\nAnswer: 261*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -8.1 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 16 + 14. Calculate the remainder when 21 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -325 (base 8) to base 3\nAnswer: -21220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15234 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17966, 19881, 23070, 27533, 33270, 40281, 48566?\nAnswer: 58125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8917178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by -4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 10. Let s(c) = -i + 1 + 2 + c**2. Give s(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 20*q**3 - 38*q**2 - 17*q - 17. Suppose 10*l - 8*l = 5*n + 49, 0 = 2*l + 5*n - 19. Let f(t) = 7*t**3 - 13*t**2 - 6*t - 6. Determine l*f(w) - 6*z(w).\nAnswer: -w**3 + 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(891) - sqrt(891)) + 4)*3 - (-5 + (-1 + sqrt(176))**2 + sqrt(176) - sqrt(55)\/(sqrt(15)\/sqrt(3)*5)).\nAnswer: -160 + 2451*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -3. Sort u, -5, 1 in decreasing order.\nAnswer: u, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -755 - -759.89. Let i = q + 1.57. What is i rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 5:03 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.82 - 0.162.\nAnswer: 2.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**3\/6 + i**2\/2 + 14*i. Let j(r) = r + 1. Determine 4*a(t) - 3*j(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32354, -129334, -290954, -517214, -808114, -1163654?\n\"Answer: -32320*w**2 - 20*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**2*q**2 + 10*o**2 + 53*q**2 - q wrt q?\nAnswer: -4*o**2 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x**3 + 0*x**3 - 2*x**3)*(1 - 9*x**2 + 5*x**2 - 4*x**2).\nAnswer: -56*x**5 + 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/((j**(-3)*j*j)\/j)*((j\/(j*j**(4\/5)*j))\/j)\/(j*j*j*j**2\/j))\/(j**(-4\/5)*j**(-6)*j*j*j**(-1\/10)*j*j**3) assuming j is positive.\nAnswer: j**(-79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2671*1.\nAnswer: 2671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9663281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by -5*26\/(-65)*(-33)\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 12 + -9 - -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 2916.\nAnswer: 2916.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8464545, -8464548, -8464551, -8464554?\nAnswer: -8464557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -449 + 452. Suppose 4*f + 38955 = k*h, 11*h - 15*h + 51965 = 3*f. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -15*x**2 - 2. Let n(z) = z**2 - 1. Determine -3*l(y) + 6*n(y).\nAnswer: 51*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*g**3 + 3*g**2 + 12*g**3 + 4 + g**2 + 68*g + g**4 - 67*g as h*g**2 + k*g**3 + s + m*g**4 + i*g and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 812.4069 meters?\nAnswer: 0.8124069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118085 + -67354. What are the prime factors of p?\nAnswer: 97, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -71*r**3 + 3054*r**2 - 42*r - 44. Let s be z(43). Is s at least as big as -52\/205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {k: 3, n: 2, w: 5, a: 1, v: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -50 and -10504.\nAnswer: -10554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8044 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4*r. Let b(n) = 2*n**2 + 9*n**2 + 2*n**3 + 1 - 10*n**2 - n**3. Give b(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0908942 rounded to 4 decimal places?\nAnswer: -0.0909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-12) + 3\/4. Suppose -5*v - 4*b + 26 + 19 = 0, -x*b = -2*v. Is (-2086)\/(-10)*v\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -51676, -5, -231, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 minus -1116?\nAnswer: 1116.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71066, -71079, -71092, -71105?\nAnswer: -71118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 1, l: 6, d: 3, m: 2, g: 2}. What is prob of sequence dym?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 131928495 to the power of 1\/3, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3645 = -462. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 274 + 1091. List the prime factors of y.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-22)\/60*8\/(-6) and -74\/21?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h + 173*h**2 - 25*h + 9*h - 130*h**2.\nAnswer: 43*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/300 - 16*a**5\/25 - 256*a**4\/5 - 32768*a**3\/15 - 271*a**2. Factor d(v).\nAnswer: -2*(v + 32)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76425 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**7\/945 + v**6\/540 + v**5\/270 - v**4\/108 + 3*v**2 + v. Suppose g(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -1\/15*r**6 + 1\/20*r**5 + 14*r + 0*r**2 + 0*r**3 - 1\/42*r**7 + 0 + 1\/6*r**4. Factor p(h).\nAnswer: -h**2*(h - 1)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + 4*c**2 - 4*c**2 + (2*c**4 + 0*c**4 - 3*c**4)*(-1 + 0 + 0 + (1 - 2 - 1)*(-3 - 2 + 6) + 5 + 0 - 4).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(891) - (sqrt(891) + -2*(0 + sqrt(891) - sqrt(891)) + sqrt(891)) - 6*(sqrt(891) + sqrt(891) + 1)*3)**2.\nAnswer: 11934*sqrt(11) + 1355500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 552 - 554 + 1106.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2431 (base 5) to base 8\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 - 9*q**2 + 47*q**2. Let r(s) = s. Determine t(r(u)).\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -0.4, 3 in descending order.\nAnswer: 3, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p + 1. Let d be x(-1). Let a(u) = -u**3 + 8*u**2 - 7*u + 6. Let j be a(d). Find the second derivative of -r**3 - j*r**3 + r + 6*r**3 wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*t + 42, 2*t - 58 = -2*x - 0*t. Let g = -5 + x. Solve -4*j - g = -0*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-3 - 6\/(-3)). Let v(d) = d**3 - d**2 + 1. Let r be v(i). Suppose z + r*o = 19, 4*z + 0 = 5*o + 1. Solve -z*t = 20, -2*q = -7*q + 5*t + 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 11*x**4\/24 + 89*x**2. Let b(q) = -49*q**2. Determine u(b(z)).\nAnswer: -539*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0279 and -13.56354.\nAnswer: -0.378422766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let l be m(6). Suppose -4*w - 2*u - 4 = -22, l = 2*u. Suppose -w*j - 4 + 19 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -29931?\nAnswer: -29\/29931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28624\/909 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -723*p**4\/4 + p**3\/3 + 472*p**2 + 510. Find the second derivative of a(l) wrt l.\nAnswer: -4338*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/6*(-6)\/(-4). Suppose -3*t = -13 - 8. Solve -k*y + 3*h + 13 = 0, -4*h + t*h = -15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*b - 32 = -94*b - 5*k, -2*b = -2*k - 64. Solve -2*h - 15 = -5*n, -21*h + b*h + 5*n - 15 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8971 - -0.169\nAnswer: 8971.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172 + 241. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -298.173 - -298. Let x = o + 0.16. Round x to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + (-1*sqrt(176) - sqrt(176) - sqrt(176)) - sqrt(176))*-1)**2 - (4*(sqrt(176) + 0) - (1 + sqrt(176) + 1))**2) + 2 + 3.\nAnswer: 176*sqrt(11) + 1249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2. Let j(p) = 4*p**2 - 11. Let r(z) = 3*z**2 - 11. Let a(h) = 2*j(h) - 3*r(h). Give i(a(n)).\nAnswer: -n**4 + 22*n**2 - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -6, 0, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 - 3*l**2 + l**2)*(4*l**2 - 2*l**2 - 3*l**2) - 2*l**4 - 2*l**4 + 2*l**4 - l**4 - 3*l**4 + 0*l**4 as q*l**2 + h*l + v*l**3 + p + t*l**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/50 (b) 67 (c) 0.4 (d) 2\/3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*4 - 2*sqrt(77)*-1)\/(sqrt(396)*-1*2).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/6 + 177\/1062.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24477390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1397*n**2 + 160*n**2 + 2*n - 2*n.\nAnswer: 1557*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 10\/19 (b) 3\/2 (c) -360\/119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 18*l**2 + 3*l + 21. What is q(-2)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 28373.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 365*k**5 + 424*k**3 - 22949*k - 23?\nAnswer: 7300*k**3 + 2544*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 323 + 83. What is the greatest common divisor of 40 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h. Let m(n) = -19*n**2 - 3*n. Give m(y(g)).\nAnswer: -1539*g**2 + 27*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 - (-19 - -130 - 61).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 31, 16, -5, 5, -2 in increasing order.\nAnswer: -5, -4, -2, 5, 16, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4648)\/(-24) + (-4)\/6. Suppose 3*j - 92 - i = 0. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5475 divided by -429\nAnswer: 1825\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8244 less than -113.965?\nAnswer: 8130.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6963\/51062*(-4)\/(-2)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -321? (a) -5 (b) -4\/9 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*g - 0*g. Suppose -g = -3*p + 8. Suppose 3*c + 72 = -k + 3*k, -109 = -3*k + p*c. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -45432200.9\nAnswer: -45432189.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1574886?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 9*r**2 + 13*r - 7. Let w(g) be the first derivative of -g**2\/2 + 5*g - 2. Let i be w(-5). Let j be t(i). Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:04 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000482 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 193351.9 less than -4747?\nAnswer: -198098.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4453*j + 699130. Determine w(157).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -87758496.\nAnswer: 1\/43879248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*1.4\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 397504693 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 1218.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/150*35\/(-6)*(-9)\/(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 12:18 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 35*s**2 + 26*s - 16. What are the prime factors of i(-14)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 u when three letters picked without replacement from uuquuqquqqquqqquuuuu.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20339959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2. Let p = 2 + 21. Suppose -4*u + 112 = 5*q, -u - 2*q = -3*q - 19. Let i(v) = u + v - p. Determine b(i(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -417\/724 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 112077*i - 1904442.\nAnswer: -3*(i + 17)*(i + 37342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, p: 4}. What is prob of sequence pn?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1467 is divided by 38.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -231324?\nAnswer: 231331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0322550799 to 4 decimal places.\nAnswer: -0.0323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**4 - 2*f**3 + 2674*f**2 - 15*f - 3378862.\nAnswer: 4*f**3 - 6*f**2 + 5348*f - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = -16. Let b(d) = 2*d - 5. Let a be b(v). Solve a*p = p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**4 - 11525*m**3 - 2*m**2 - 4813*m + 3 wrt m?\nAnswer: -36*m**2 - 69150*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211 - 399*s**3 + 330 - 2*s**2 - 3*s + 3*s.\nAnswer: -399*s**3 - 2*s**2 + 541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 1:35 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.886154 to 1 decimal place.\nAnswer: 61.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -20.3. Put 3\/5, q, 0 in increasing order.\nAnswer: q, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157.07178+12122718\nAnswer: 12122560.92822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 11683309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250399407?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 114*g - 110*g + 10, b - 22*g + 10 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.09 + 3.0883. Round v to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 809*o = 799*o + 6*p + 74, 0 = p + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 377451 - 199774. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1561637700?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/3)*r)**40)**(-49) assuming r is positive.\nAnswer: r**(-9800\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11884544 divided by -3316.\nAnswer: -3584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117)*2*2 + sqrt(117) - sqrt(117)))\/sqrt(9))**2 - (sqrt(325) - (sqrt(325) - (sqrt(325) + ((-1 + sqrt(325))*-6)**2))).\nAnswer: -11619 + 355*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -0.78, -3, -0.4, 41?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 11029.\nAnswer: 44116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(15)\/sqrt(3)*5 - (sqrt(5) - (2*sqrt(245) + sqrt(245)) - sqrt(125)*1))**2 + -5)*-4.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 6*t + 2. Give l(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 + 42*s - 1726. What is v(-28)?\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (180\/165)\/(2\/22). Do 21 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -187840?\nAnswer: -18783d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 537530 and 490?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1152 divide 7550328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**3 + 11*r**2 - 2*r - 13. Let m be (-16 + 10)*(1 + 1 - 1). Let t = 72 - 59. Let v(j) = 3*j**3 + 5*j**2 - j - 6. Calculate m*n(i) + t*v(i).\nAnswer: -3*i**3 - i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 418904 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/2077 - -4148\/6231. What is the second smallest value in -2, 1, f, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 79684.3 millennia?\nAnswer: 7968430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-3))\/(-3 - -2). Suppose -g - 5*x + 45 = g, -i*g - 2*x = -102. Differentiate 1 - 6*p + g*p + 6*p**2 - 14*p wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*u + 4*j - 7375 = -236*u, 0 = -5*u + j + 12238. Calculate the greatest common divisor of 395 and u.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 121*q**8\/336 + q**5\/20 - q**4\/8 + 54*q**2. Find the third derivative of l(k) wrt k.\nAnswer: 7260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/9 - 1805\/855. Put -4, 2, -3, a, 5 in descending order.\nAnswer: 5, 2, a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00204823 rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8003*q**3 + 2*q**2 + 2*q + 22?\nAnswer: -48018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.12 + -0.08. Let o = -0.8 - w. What is the nearest to 0 in o, -1, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.214 times 0.09283\nAnswer: 0.01986562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -9945963 >= -9945959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41753*r**5 - 25*r + 164?\nAnswer: 835060*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 44*b**2 + 6*b + 12. What are the prime factors of g(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 24*h)*(-72 - 102 + 252)*(4 - 1 + 1) to the form k + c*h and give c.\nAnswer: -7488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 14*b - 7. Let g be l(2). Suppose -g = 19*k - 12*k. Put k, -5, -11 in descending order.\nAnswer: k, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99949429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-7)\/b)\/b**(-37)*b*b**(1\/28)*b**(-7\/8) assuming b is positive.\nAnswer: b**(1689\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 849.57km in nanometers?\nAnswer: 849570000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*g + 7965 = 0, g - 1550 + 6335 = -3*o. Is o <= -1595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -42, -2, 727, 21 in increasing order.\nAnswer: -42, -2, 11, 21, 727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29.3925773 and -4395.\nAnswer: -4424.3925773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x**2 - 2*x - 5. Let h be k(-5). Let p be (-3)\/((-9)\/h) + -2. Calculate the greatest common factor of p and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 6:52 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/5, -0.3, -908, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(-1 + (-15)\/75)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**3 - 13*b**2 - b - 2*b**3 + 3 + 18*b**2. Let h(d) = 9*d + 1. Let g be h(2). Suppose -v = -3*y + 3*v - g, 3*y = -5*v - 10. Give a(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 + 270 + 5*a**2 - 529 + 259.\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 8. Suppose 2*f = -3*f - 35. Which is smaller: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 11) to base 4\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*o**3 - 58*o**3 + 21*o**3 + 20*o**2 wrt o?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 7:16 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 17 = -3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 335*r**4\/4 - 2*r**3\/3 - 42*r**2 + 76. Find the third derivative of t(l) wrt l.\nAnswer: 2010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66085.551 times 5\nAnswer: 330427.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0)*(-4)\/(-10). Let f = 7475 - 7475. What is the second biggest value in y, f, -2\/5, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10141 + 15869. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 33898*b + 271163. Give n(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -6128*t**3\/3 + 3843*t**2\/2 + 3292. Find the second derivative of x(d) wrt d.\nAnswer: -12256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -11. Let w = -81 - -83. Calculate the lowest common multiple of n and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 5*z + 2. Let p be f(-5). Let o be (-2)\/(p*1\/(-4)). What is the derivative of -3*q**4 + 5*q**o + 3 + 2*q**4 wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccn when three letters picked without replacement from {c: 6, n: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 19*v + 8. Let b be d(-9). Suppose -3325 = -11*t + 921. Let z(m) = -m + 387 - t + 2*m. Determine z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 9, a: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82839, -165689, -248539?\nAnswer: -331389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 11*r + 4*r + 11*r - 48*r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 12*r - 13*r. Which is smaller: 33\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3121 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + -3)*3 + -3.\nAnswer: -12 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294533000 a multiple of 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*k - 231*k - 266*k)*(-2 + 3 + 0).\nAnswer: -482*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 4:03 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8402508 and 10269732?\nAnswer: 92427588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45, 53, 67, 87, 113, 145?\n\"Answer: 3*b**2 - b + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2 + 3*t + 2 - 1. Let y be z(-5). What are the prime factors of (-1)\/2*y\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.048.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 5*q**2. Let a(z) = -z**3 - 3*z**2. Let p be -2 - -3 - -110 - -1. Let y = p + -117. Calculate y*a(o) + 3*v(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) -0.0531 (c) 1 (d) 4 (e) 2\/41 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21868 and 11176.\nAnswer: 5554472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 3 (c) -3 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53.6 - -31.\nAnswer: 84.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**3 - 72*d**2 - 141*d - 162. Determine t, given that k(t) = 0.\nAnswer: -47, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/25)\/((2604\/(-30))\/31)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -4, -5 in ascending order.\nAnswer: -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**7\/3360 + m**6\/720 - m**5\/120 - m**4\/12 + 7*m**3\/2 + 2*m**2 + 17*m. Let a(p) be the first derivative of w(p). Factor a(z).\nAnswer: (z - 2)*(z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 3)*(-4 + 2 + 5) - 2 - 1 + 5)*(-d + 0*d + 3*d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-5 - -2))\/2. What is the tens digit of 14*(-3 + 4) - r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/30 and -37\/626361630.\nAnswer: 626361630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**14\/m)*m\/m**15)**9)**(10\/3) assuming m is positive.\nAnswer: m**(-780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*i - 50*i + 56. Suppose -2*k - 5*f = -0*k - i, 2*f = -3*k + 10. Let n = 2 + -2. Solve 0 = -n*y - k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 0.40653?\nAnswer: -0.90653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3392 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a6 - 19?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 3}. Give prob of picking 2 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -22*u + 35 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 7 = -5*s, -s = -3*o - 57 + 46 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 0*m**2 - 13 + 0*m + 14\/3*m**3. Let d(j) = j. Give d(a(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1492, -2949, -4404, -5857, -7308?\n\"Answer: h**2 - 1460*h - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 21*w - 11. Let h be n(-8). Let l = h - -346. What is the remainder when l is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*v**4 + 0*v - 105*v - 3*v**4 + 199 + 7*v wrt v.\nAnswer: 8*v**3 - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53333430 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 2:06 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (0 + -4 + 24). Let x = g - -21. Let m = -556\/927 + 16\/103. Which is the smallest value? (a) x (b) m (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o - 1. Let n be b(-15). Let v = 99 - n. Calculate the remainder when v is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 10*u**2 - 16*u + 50. Let p be m(11). Sort 43, -2, p, 5, -4 in descending order.\nAnswer: 43, 5, -2, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -0.2 in ascending order.\nAnswer: -4, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 1. Suppose -c - 1 - h = 0. Let u be (c\/(-6))\/((-2)\/6). What is u rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - -51. Let k be (-124)\/(-6) + 6\/18. Calculate the smallest common multiple of a\/k + 4\/14 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8879, -8857, -8873, -8945, -9091, -9329?\nAnswer: -9677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-24) - (-38)\/(-4). Let q = 28892 - 346939\/12. Let x = q - b. Find the common denominator of -46\/9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = o + 3*o. Let y(s) = 3*s**2 + 5*s - 3. List the prime factors of y(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + 10 - (28 + -31 + -2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 291153685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 9*y - 16. Let a be m(5). Let d be a + -1 - (-24)\/(7 + -3). Let u be (2\/1)\/(d\/234). Calculate the highest common divisor of u and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/((-2375)\/(-494) + -22 - -17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u. Let m(v) = -2339*v. Calculate m(s(w)).\nAnswer: 4678*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(1*sqrt(4)) + 3 + 4*(-1*sqrt(13) + sqrt(13) + 2).\nAnswer: sqrt(13) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 11*d**2 + 36 + 7*d - 6*d**2 - 22 - 6*d**2. What is y(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 27226 = -j + 97226, 350000 = 5*j + 4*v. Round j to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*d*f**2 + 3*b*d*f*l**2 + 37*b*d*f*l + 2*b*f**2 + 3*d*f**2*l**2 - 13*d*f**2 + 2*d*f*l**2 - 5*d*f*l + d*f wrt f.\nAnswer: 4*b*d + 4*b + 6*d*l**2 - 26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 374413?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*k**4 - 41*k**3 + 3*k**2 + 173?\nAnswer: 216*k - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 + 3*c. Let p(n) be the first derivative of 2*n**3 - 2*n**2 + 2. Suppose g = -2*g + 9. Let i(r) = g*p(r) + 4*s(r). Factor i(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -871012647213 and -175.\nAnswer: -871012647388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {r: 15, t: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 808726, 1617455, 2426184, 3234913, 4043642?\n\"Answer: 808729*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012301 to the power of 1\/2, to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 15765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(2 + q - 2) + 5*q + 0*q - 3*q)*(-2*q**3 - 2*q**3 + 3*q**3).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-6))\/((-99)\/(-12)). Let v = 88 + -87.5. What is the smallest value in 4, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33634052 (base 7) to base 9\nAnswer: 5460322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1))**42\/(w*w**6*w\/w**(-2\/9)))**17 assuming w is positive.\nAnswer: w**(-1258\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3913 + -54813\/14. Let x = 2 - 3. Find the common denominator of 1\/(75\/(-67) - x) and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 3*m**2 + 4*m + 4. Let a be u(-4). Suppose -a*d - 2*w + 32 = 0, d + 6 = w + 2*w. Is (-8)\/d*(-5 - 1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (186*c**2 - 373*c**2 - 28*c + 186*c**2)*(-3 + 1 + 0).\nAnswer: 2*c**2 + 56*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 5*n**2 + 5*n + 5. List the prime factors of c(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -723, -744, -767, -792, -819?\n\"Answer: -s**2 - 18*s - 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-2\/7)))**18\/(f*f\/(f**(-1\/2)\/f))**(-20) assuming f is positive.\nAnswer: f**(526\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/84 and 17\/260710632.\nAnswer: 260710632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11)\/((b\/(b*b**(3\/4)))\/b))**(-5\/2) assuming b is positive.\nAnswer: b**(185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 4:12 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 38 = -3*z - 68, -p + 4*p + 4*z = 9 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1970 and 670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*96897.\nAnswer: -38758.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960) + sqrt(960)*-3)\/(-6*sqrt(45)).\nAnswer: 8*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123 and 4491.\nAnswer: 184131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d**3 + 4*d**2 + 4*d. Let j be 12 - 0 - (-24)\/(-4). Let h(s) = s**3 + s**2. Determine j*h(t) - w(t).\nAnswer: -4*t**3 + 2*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 10:40 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 18*r**2 - 19*r + 25. Give p(2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6613*b + 39358 = -6591*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*r - 194184 = 121*r. Calculate the remainder when r is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/12144 and 127\/353694.\nAnswer: 2829552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62928788?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 2*q + q + (-3 + 0 + 1)*(-q + 2*q + 0*q) + 0*q - 1 - 2*q + 0*q to the form j + u*q and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/3 (b) 3\/7 (c) 4 (d) 1169 (e) -0.66 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 72*f. Let v(i) = -4*i**2. What is v(c(n))?\nAnswer: -20736*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996265?\nAnswer: 5, 19, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and -4655.\nAnswer: -4666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 4*u - 2*u**2 - 58 + u**4 - 4\/3*u**3. Find i, given that y(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179797288, 179797290, 179797292, 179797294?\nAnswer: 179797296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/56 and 43\/292?\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**2 - 1773*x - 7843. Give p(-291).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4587 divided by -139.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*z = 6991 - 7777 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -843.6128 - -843.7. Round l to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-8 + -5 + (9 - 8))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 - y**3 + 3*y**3)*(5 - 5*y - 6 + 3*y).\nAnswer: 4*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 2, b: 4}. Give prob of picking 2 b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 9935 - 1705. What are the prime factors of u?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 96.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -34*m**4 - 2*m**3 - 2*m**2 + 20. Let d(v) = 68*v**4 + 5*v**3 + 5*v**2 - 41. Let z(p) = -2*d(p) - 5*k(p). What is the first derivative of z(t) wrt t?\nAnswer: 136*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13808121 - -13808110.0000044. Let v = -14 + 25. Let r = k + v. Round r to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48295 + 48295. Let f = 0.42 - 0.02. Which is the second biggest value? (a) y (b) -28 (c) 2\/7 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(153) + (sqrt(153) + 1 - sqrt(153)) + sqrt(153) - sqrt(153)) + sqrt(153))*1 + -6*(0 + sqrt(153)))**2.\nAnswer: -96*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 v when four letters picked without replacement from bhvihph.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27739381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1314, -62 in ascending order.\nAnswer: -62, -2, 1314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12 = 0, -4*t + 2*t = 4*j + 46. Let n = -6 - j. What is the greatest common divisor of n and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**3 - 27*v**2 + 98*v + 127. Determine a(6).\nAnswer: 1039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12135 (base 8) to base 16.\nAnswer: -145d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 2:29 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*q + 11 - 361 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 14 = n. Which is the nearest to -0.1? (a) 4 (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*-1*2 + -1*sqrt(144))\/(sqrt(72)\/(2*sqrt(6)) + sqrt(12) - sqrt(192)*1).\nAnswer: 8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 2:05 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Suppose 8 = -2*r + 20. Let s = 4 - r. Let v = s + 3. Let j(z) = -10*z. Give v*j(t) + 12*u(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(2\/41)*a**(-10)*a*(a**(5\/3)*a)**(2\/57) assuming a is positive.\nAnswer: a**(-55090\/7011)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1426 - -2?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 k, and 1 l when four letters picked without replacement from zgrkl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 582 + 5?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163869?\nAnswer: 3, 54623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 0)*-4 - 1*(sqrt(684)*-4)**2.\nAnswer: -10944 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:13 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -11. Suppose 3*s = -k*t + 60, s + t + 3*t - 20 = 0. Calculate the remainder when 77 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27602 + 414032\/15. Find o, given that 0 - 2\/15*o**3 - 4\/15*o**2 - l*o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24425 - 24425. Let y(x) be the second derivative of -40*x + 0 + j*x**3 + 0*x**2 - 1\/100*x**5 + 1\/30*x**4. Factor y(b).\nAnswer: -b**2*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - -7 - -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m - 2426 + 2426.\nAnswer: 40*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -74 (b) 39 (c) -69.997 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j - 4. Let q(r) = 25*r + 6321. Calculate q(c) - 4*u(c).\nAnswer: c + 6337","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -25*f + 19. Let s be c(-4). Let h = s - 85. Is h a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-56) + 314\/(-14). Let q = -43 + 75. Let v = q + p. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 8794890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from kkvkr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2 - 19*z + 23. Suppose 9*y - 35 = 4*y. Let v(t) = -6*t**2 - 20*t + 24. Let p(m) = y*a(m) - 6*v(m). Determine p(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 2914?\nAnswer: 5828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 - 33*h - 528. What is the thousands digit of r(43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 a when three letters picked without replacement from xaywaxxhnxxxxxxhah.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*23\/(-1098)*453. Let y = o - 2\/183. What is the common denominator of y and -27\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -304 + 845. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -4, 0.5, 3\/401?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4956073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1756 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -716 (base 9) to base 4.\nAnswer: -21012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -569 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.95 and 33.211?\nAnswer: -31.55045","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 3\/(-3) + -480001. Let a be (-2)\/12 - k\/12. What is a rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 5*i**5\/26 + 37*i**4\/78 - i**3\/39 - 1818*i**2. Find h such that s(h) = 0.\nAnswer: -1, 1\/75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - w - 106 = -4*a, 2*w + 23 = a. Let i = a + -7. Let f be ((-161)\/21)\/(-1) + -6 + 4\/3. Solve f*o = -o + i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x)\/(x\/x**4))\/(x**(4\/7)\/x*x*x**1)*((x*x**0*x)\/x)**(2\/9)\/(x**(-1))**(-2\/129) assuming x is positive.\nAnswer: x**(9848\/2709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -33555 (base 11) in base 14?\nAnswer: -139c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2184)\/468 + 3*(-5)\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 1\/2, 5, -5\/56.\nAnswer: -4, -5\/56, 0, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124*m**3*v**4 - 7*m**3*v**2 - 7*m*v**6 + 4*v wrt v.\nAnswer: -2976*m**3*v - 840*m*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 756214 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35880*k + 11962*k + 11979*k + 11956*k.\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28899178 is divided by 9833?\nAnswer: 9824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 17*s - 868. Determine b(-26).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5355 + -10711\/2. Which is the fifth biggest value? (a) q (b) -19 (c) 0.3 (d) 6\/11 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3296780193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5098119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 8, z: 4, c: 2, k: 3}. What is prob of picking 2 f?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(72) - ((1*sqrt(72) + sqrt(72))*-6 + sqrt(72)))\/(sqrt(64)*-6))\/(-2*(sqrt(9) + 3*sqrt(9)) + (sqrt(90) + 3*sqrt(90))\/sqrt(10)).\nAnswer: 3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(2*t + 2*t - 2*t) - t + t + 2*t + 30*t - 36*t + 18*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 516\/18 - 4\/6. Let h = -48 + t. Calculate the smallest common multiple of 2 and 1\/(2\/h*-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + i**2 - i. What is p(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at least as big as -272688\/8503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50180160, -200720657, -451621494, -802882677, -1254504212, -1806486105, -2458828362, -3211530989?\nAnswer: -4064593992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 3. Let h be s(-12). Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.126084976 rounded to 5 decimal places?\nAnswer: -0.12608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-1*(-189)\/(-54)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -1. Let r = 6 - 3. Let l = r + -2.8. Which is the closest to -1? (a) w (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(243) - (0 + sqrt(243))*5 - 1*(sqrt(243)*-1 - sqrt(243)))*2)**2*4.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u - 4. What is v(-5)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 25515, 2.\nAnswer: 2, 3, 25515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20316303*b**2*d**4 - 9230*b**2*d - 9491*b**2 - 3*b*d**2 + 4*d**2 wrt d.\nAnswer: -243795636*b**2*d**2 - 6*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23578, -23593, -23610, -23629, -23650?\nAnswer: -23673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218669?\nAnswer: 11, 103, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074030455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 2725.\nAnswer: -8\/2725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.592373m?\nAnswer: 2592.373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 8*z + 2. Determine q(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u + 43. Calculate o(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*u + 1479 = 616*u. Let z(y) = 2*y**2 - 4*y - 4. Let c(g) = 0*g - 2*g + 3*g + 1. Calculate u*z(f) + 12*c(f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -442 divided by -857?\nAnswer: 442\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i - 15. Let h be t(-7). Suppose h*j - 15*j = -818. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2\/12 - 116413*z\/2 - 139698.\nAnswer: (z - 139698)*(5*z + 12)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*i**3 + 0 - 4*i + 24*i - 3*i**2 - 4*i**3 as u*i + w*i**3 + n + q*i**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 353 + 360*f - 374*f + 139. Let g be b(35). Suppose -4*y + 1 = -5*z, 4 = y - 4*z + 1. Sort y, -3, g.\nAnswer: -3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 210*g**3*m**3*v + 2*g**3*m**3 + 14*g**3*m**2 - 3*g**3 + 2*g**2*m**2*v - 3*g**2*m**2 + g*m**3*v wrt m.\nAnswer: 1260*g**3*v + 12*g**3 + 6*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 108\/((-126)\/(-14))*(-10)\/8*-1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)*d\/(d**(-1\/6)\/d)*d**(-2\/13)*d*d*d**(2\/7)*d*d*((d\/d**4)**(-38))**9 assuming d is positive.\nAnswer: d**(560359\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1213b (base 15) to base 6\nAnswer: 1122532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*i = -85*i + 39*i + 128928. Solve 635*r = i*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -975 - -982. What is the remainder when 160 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2092 (base 11) to base 6\nAnswer: -20443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.04+-25588667119.6\nAnswer: -25588667119.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 575 = -x + 2*o, 5*x + 2*o - 624 = -3523. Let i = x - -646. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 10*f = -1452. What is the least common multiple of 108 and f?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414 = 17*p - 14*p. Let s = p + -125. What is the greatest common factor of 286 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29530826 to the power of 1\/2, to the nearest integer?\nAnswer: 5434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -5*p**3\/3 + 15*p**2\/2 + 241. Suppose z(f) = 0. Calculate f.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 - -5053. List the prime factors of a.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-4120)\/216 - (-34)\/(-459)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13066963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223613579.\nAnswer: 3, 61, 6686413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10607113703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 - (2 - (2 + 3)). Let n be (-3)\/((15\/2)\/y). Solve 0 = n*z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23686961 is divided by 206?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - (-184)\/(-20)*(-6)\/9. Let z = 0.3 - 0.1. Let f = -0.4 + z. What is the closest to -2\/3 in f, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8028363, 16056741, 24085127, 32113521, 40141923?\n\"Answer: 4*f**2 + 8028366*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -37, 3 in increasing order.\nAnswer: -37, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.229757 rounded to 2 dps?\nAnswer: -1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12339*d**3*q + 2*d + 3746*q wrt d.\nAnswer: -74034*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 2. Suppose -4*a = -4*b + 12, 3*b + 15*a - 5 = 17*a. Let i be 35\/5*b\/3. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6302447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1077900, -2155801, -3233702?\n\"Answer: -1077901*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {e: 1, o: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8*k - 4*r = 12, 5*r + 15 = -4*k. Let y(d) = -5*d**2 - d + 1. Let f be y(1). Let h = -3 - f. Sort k, h, 4 in increasing order.\nAnswer: k, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47571285 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 2*s - 2*s**3 + 1\/4*s**4 - 18 - 4*s**2. Give z(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**3 + 3*n**2 - 6*n - 3. Let y(l) = 4*l**3 + 2*l**2 - 5*l - 2. Calculate -2*p(t) + 3*y(t).\nAnswer: 2*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1036, -756, -3698, -7754, -12888?\nAnswer: -19064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.106151 + -0.893849. Suppose d = -3*d + 20, 3*k - 1101 = -3*d. Which is smaller: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -768145 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f = -5. Let w = f + -6. Let y be -1 + 1\/(w\/(-2)). What is the highest common factor of y and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 497 + 1668*r**2 - 497 - 1008*r**2 + 1364*r**2 + (0 - 2*r + 0)*(0*r - r + 2*r) as d + k*r + z*r**2 and give z.\nAnswer: 2022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - y**2 + 59*y - 322. Determine q(0).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 10 = 8. Solve -2*h = h + g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbbnwnonbttnnoonb. Give prob of sequence boo.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:03 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.140391 - -12.354221. Let v = w - 10.313. Let j = -0.1 - v. What is j rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3156*x**3 + 2327*x**3 + 312*x**3.\nAnswer: 5795*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/1083 + -6140\/3249. Let f = 4675 - 51473\/11. What is the common denominator of f and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/5)*b)\/b)**(-19\/4)*b\/b**(-14)*(b**(-12)\/b)\/b assuming b is positive.\nAnswer: b**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 7:50 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {s: 3, j: 5, c: 1, z: 1, q: 3, o: 1}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 + -31 + (-28 - -7 - -4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = 3*s, -2*s = 5*v - 9 - 0. Let a be v\/(2\/(-16)*-2). Solve -a*g = -g, 8 = -4*o + 5*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 6. Let z be a(-3). Let r be (-3200)\/6*z*-2. Suppose -r = -2*n - 3*n. Round n to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 29 + 17 = 4*s, -2*n - 48 = -4*s. What is the remainder when 1055 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -11*x - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -17. Let z be 12\/p*(-8)\/(-6). Suppose 2*u - 156 = -z*u. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -3. Let n = -4 - -9. Let c = n - 3. Sort 0.2, c, z in decreasing order.\nAnswer: c, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebyb when four letters picked without replacement from {b: 2, u: 4, e: 2, y: 7, j: 2, w: 2}?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9767 + 9772.017. Let l = 67.9 + -67.883. Let n = l - r. What is the smallest value in n, -3, 3, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 6.323.\nAnswer: -0.44261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197 + 3903*k + 501 - 304 to the form h*k + d and give h.\nAnswer: 3903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 9 = 17*a + 338 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 3*a + 15, 5*i - 8*i - 15 = -a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -1\/4*w**4 + 3*w**3 - 3*w**2 - 4 + 5*w. What is the remainder when 81 is divided by c(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 442cc - -1?\nAnswer: 442cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64200549?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 15*a**2 - 38*a - 19. Let x be r(-12). Let u(s) = 0*s + 634 + s**3 - 636 - s + x*s**2. Determine u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48583404 divided by -212\nAnswer: -229167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2. Let w = 2 - a. Solve 2*y - 8 - w = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (247\/171)\/((-235)\/423).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = o, h + 15 = 4*h. Let r(n) be the third derivative of -1\/120*n**6 + 0*n + 0*n**3 + 0 + 1\/24*n**4 + 2*n**2 + 0*n**o. What is r(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3118*o + 10576*o + 1072*o + 6489*o in the form i + c*o and give c.\nAnswer: 15019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235113 (base 6) in base 12?\nAnswer: 55a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h = -39*h + 896. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3 + 16840*c - 645880.\nAnswer: 3*c**2 + 16840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 5*v - 2. Determine b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -4. Let v be (g\/10)\/((-4)\/80). Suppose -104 = -4*b - v. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 6409034?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -118*m + 1394*m + 896*m + 3*m + 0*m - 2*m + (2*m - m - 2*m)*(4 + 2 - 4) + m + 3*m - 7*m.\nAnswer: 2168*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y. Let o(b) = -b - 1. Let h(f) = -13. Let u(k) = -h(k) + 13*o(k). Give z(u(x)).\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -370803*n**4*z + 764*n*z + 339470844*z with respect to n.\nAnswer: -1483212*n**3*z + 764*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(225) - (sqrt(225) + -1*sqrt(225))).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2512399 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 - 94. Let r be (y\/(-10) + 2)\/(8 - 7). Which is the nearest to 0.2? (a) 0 (b) -2 (c) 2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60059194+-1\nAnswer: 60059193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 3*r + 46 = -r - 0, 62*r - 1429 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 8:35 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -301 - -509. Suppose 28*u + 162 = u. Let p = u - -22. What is the highest common divisor of p and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190 + -91. Calculate the remainder when t is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111137 is divided by 110997?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9059, -11660, -14259, -16856, -19451, -22044, -24635?\n\"Answer: s**2 - 2604*s - 6456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*((-3 + sqrt(567) - sqrt(567))*1)**2*4*-2*-5.\nAnswer: -5400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*g + 900 = -98 + 50 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 251*t - 1832. Is k(14) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 343, 0.4, 3\/5, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 370 + 2111. Let w be (-2)\/3*(-18)\/d. Let a = w + 33891\/3308. Find the common denominator of a and -63\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -885 + 885.0004487. What is x rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, o: 1, e: 2, c: 1, v: 1}. Give prob of sequence hh.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5500 + 38)*((-160)\/(-15) + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 188\/(-30) + (-10)\/(-75) and -58\/33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (0 + 1*sqrt(1584) + -6*(sqrt(1584) + -1) - (sqrt(1584) - (sqrt(1584) - (sqrt(1584) + 0 + 0)) - (0 + 2 + sqrt(1584))))**2).\nAnswer: -2880*sqrt(11) + 118980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1552 and 4865132?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0, 2, 1\/2641, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = -5*n. Let j = 1 - n. Suppose 0*b - j*b = -66. Calculate the remainder when b is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4853 (c) -3\/154 (d) 12 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 123884*v**2 + 23556*v**2 + 4*v.\nAnswer: -100328*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*y**4\/4 - 24*y**3 - 33*y**2 - 12*y = 0. What is y?\nAnswer: -2, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + a + 15, x + 3 = -5*a - 2. Let l(y) = 5*y. Let t(c) = -6*c. Let d(v) = x*l(v) - 4*t(v). What is d(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + a**2 - 215*a - 225. Determine f(18).\nAnswer: 2061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73 in 0.3, 2\/7, 5, -2, -71?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 1280?\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -122 and -28981?\nAnswer: 3535682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let f(u) = -21*u**2 + 105*u. Let s(r) = f(r) - 105*v(r). Let b(x) = 8*x. Calculate s(b(l)).\nAnswer: -1344*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 36150 = -5*b, -112*u + 108365 = -109*u - 2*b. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2803?\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/15)\/(4\/40). Let o = -11 + a. What are the prime factors of (36\/21)\/((-1)\/o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126 + 70 - -60) + -1 + 17?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 6 = -8*g. Suppose g*q + 16 - 136 = -4*x, -147 = -5*x - 4*q. Let t = x - -96. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 694.1 and -3041.34006?\nAnswer: 3735.44006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6198 + -0.694. What is q rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 11 - 7 = 0. Which is the third biggest value? (a) v (b) -1\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/(-20) + -47)*7\/14?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/13*r**3 - 2\/13*r**4 + 56\/13*r**2 + 42\/13 + 92\/13*r = 0 for r.\nAnswer: -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3058 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + i + 16. Let a(x) = -x**3 - 25*x**2 + 26*x + 4. Let b be a(-26). Let s be m(b). Solve -s*o = j - 9 - 9, -8 = -4*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 8. Let z be 5\/(-40) + (-9)\/(-8). What is the nearest to z in -4, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*3*3 - 3*sqrt(800)*5)\/((-2*1*sqrt(810) - sqrt(810) - 2*sqrt(810)*3)*-6).\nAnswer: -4*sqrt(5)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/3))**(8\/13)\/((b*b\/b**6)\/b*b*b**(-1)))**(-2\/85) assuming b is positive.\nAnswer: b**(-22\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387496?\nAnswer: 2, 48437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 198*x**2 - 3*x - 1444 wrt x.\nAnswer: 396*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -297 + 331. What is the remainder when 234 is divided by s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55793788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -237, -545, -977, -1533, -2213, -3017?\nAnswer: -3945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 7) to base 3\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + -2. Let n = -111 - -103.7. Let x = n - o. Put -5, x, 2\/7 in increasing order.\nAnswer: -5, x, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 + 4*d - 4. Let b(s) = -5*s**2 + 9*s - 9. Let p(x) = 4*b(x) - 9*z(x). Let o(v) = -5*v. Calculate p(o(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 5\/6, -2\/5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*z - 6 = 0, -3*z + 2 = -s - 4*z. Solve 0 = -2*n - d - 2 - s, -n + 5*d + 10 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1525 - -1565. What is the greatest common factor of b and 980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 14 = -280. Let u = -17 - r. Let c(p) = -10*p - p**u - 4 - 3 + 3. Give c(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11995518.\nAnswer: 2, 3, 79, 25307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 15. Suppose -4*i = -k*i - 4. Let y be i\/(-10)*45\/36. Which is smaller: -2\/11 or y?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25256.5 - 25258.5. Let r = 0.1 - 1.1. What is the second smallest value in b, -2\/5, r, -2\/17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*j - 9428 = 23262, -g - 5*j = -6550. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17334764 divided by -26834?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -18*f + 5. Determine v(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 20*q**4 + 44*q**4 - 23*q**4 + q to o*q**4 + n*q + x + l*q**2 + b*q**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6 + 35*j**2 + 120*j + 5 - 37*j**2.\nAnswer: -2*j**2 + 120*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/7 + 102755118*s\/7 - 2639653568798481\/7.\nAnswer: -(s - 51377559)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238879?\nAnswer: 238879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-833)\/68 - 14) + (13 - 10) + 10\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = -t - 295 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/12*(-8)\/33. Let o = 12 + -16. What is the second smallest value in o, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyh when three letters picked without replacement from yariyrwyhiii.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**3 - a**2 - 2*a + 1. Let t be j(1). Let b(g) = 3*g + 2*g**t + 2*g + 1 - 4*g - 2*g. Let i be 4\/(-3)*(-6)\/(-4). Calculate b(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.789 + 0.289. Let s = a - -22.5000211. What is s rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by -24*(65\/(-15) - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3984 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5.6, 5, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maambonoomamma. Give prob of sequence bm.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 326622385 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2. Let u(b) be the first derivative of 19*b**4\/24 - 21*b**2\/2 - 15. Let y(q) be the second derivative of u(q). Give s(y(p)).\nAnswer: 1083*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:59 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 0.2 (c) -327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -53*i + 2. Let z be o(6). Is z\/(0 - 2) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.67 - -6. Let x = 0.07 + q. Suppose -5*r - 3 = -2*z, 5*r - 4*r - 5*z + 19 = 0. Is x less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44463549 to the power of 1\/3, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261 is divided by 579.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55127192 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12775 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/16 + -3 + 2\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of -2484*(11\/(-3))\/(72\/54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155 (base 7) to base 16\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2093 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 639 and (-27)\/(81\/2)*-36?\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1241611 (base 8) to base 3.\nAnswer: 122112012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4475794.9 rounded to the nearest 100000?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, h: 6, x: 3, z: 4, o: 1, r: 1}. Give prob of sequence xorz.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 15. Let y(a) = -a**2 + 6*a + 21. Let k be y(p). Suppose -j - 2*j = 3*t - 90, 5*t - 69 = -2*j. Solve 2*o + 4*w = 4, -o - 2*o - j = -k*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 494 + -304. What is j rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9330?\nAnswer: 2, 3, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*3\/((-11365)\/(2 - -3)). Let z = a - -211401\/9092. Calculate the common denominator of 41\/16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 134500*a**2 + 672625*a.\nAnswer: -5*a*(a - 26905)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1474.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.4, 3, -1073, -2.9, 1?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(-2\/57)\/(r**4*(((r*r**(-5))\/r)\/r)\/r*r))\/((r**(-1))**41)**(7\/2) assuming r is positive.\nAnswer: r**(291\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000110011000011011001 + -101?\nAnswer: -11000110011000011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alhhanhananzh. Give prob of sequence nana.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 112?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + -383492?\nAnswer: -383483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 14 = -2*a, -5*a - 11 = -4*t + 17. Let u = -2 - -4. Solve -u*h + t*n + 3 = n, 0 = -5*h - n + 25 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80191273 to the nearest integer?\nAnswer: 8955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -26.3 and 90.\nAnswer: 63.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 - -72. Which is the nearest to -2? (a) f (b) 3\/4 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1833*d + 12440*d + 3874*d as q*d + s and give q.\nAnswer: 14481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - y + 3 = 0, 22 + 3 = -5*y. Let j be (-26)\/(-3 + (p - 1)). Let l = 29 - j. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 7*d + 9. Let r be o(-8). Let i be 1\/(-3*2\/(-12)). Suppose -5*k + 3*q = -9, 4*q + 1 = k + i*k. Solve -t = r - k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -680 + 857. Does 33 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2592*g + 2458*g + 696*g - 304538 = 0 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 198, 26, -256, -672, -1246, -2002?\nAnswer: -2964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15)\/((-18)\/60)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*d = 173*d. Let z(n) = -n**3 - 5*n**2 - 2*n + 4. Let p be z(-3). Let c be -1*(2 + p\/2). Solve d*w + c*w = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 l when four letters picked without replacement from llullllllllllll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*k - 16*k + 2386 = 34 + 414 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3 - 312291*g**2 + 1249152*g - 1249148 = 0. What is g?\nAnswer: 2, 312287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*z + y, 3 = y + 8. Solve z = -13*k - 25*k + 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-3) - 18\/81*(107 - 8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832322 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-6))\/3*32\/80.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3160418761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 8. Suppose 4*m - 3*p = -p + 278, -2*m = -5*p - 151. Let z = m + -46. What is the lowest common multiple of q and z?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/27)\/(-1 - (-50)\/45). Suppose -x*t + 6*t - 16 = 0. Solve -f + 4 = 0, 0 = -t*d - f - f - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u + 350 = u - 12*u + 31 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 30762 * -0.07\nAnswer: -2153.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -5321 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.548490252 - 11.91?\nAnswer: -15.458490252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/690 (b) -0.1 (c) -3\/4 (d) 0.13 (e) -0.11 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h + 27. Let d be r(-9). Let z = d - 113. Let m = 65 + z. Solve m = t - 4*t - 3*c, -5*c = 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4379 + 1537 = -41989*y + 41641*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/174 and -5\/3.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 114.\nAnswer: -11\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 154*x + 3. Let u be q(-3). What is the tens digit of u\/(-45) - (-2)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1600)*1 + sqrt(1600))*2)\/((sqrt(98) - (sqrt(98) + sqrt(98)*-2))*-2 + sqrt(98) + (sqrt(98) - sqrt(98)*1)*-2).\nAnswer: -80*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivddpdqqid. What is prob of picking 2 i and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*i - 6*i**2 - 82*i + (-4*i**2 - i**2 + 3*i**2)*(4 - 13 - 2))*((-2 + 1 + 0)*(6 - 1 - 3) - 4 + 4 - 1 + (2 - 3 - 1)*(-2 - 3 + 6) + 4 - 4 + 1).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27345, 54641, 81895, 109113, 136301, 163465, 190611, 217745?\nAnswer: 244873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -d - 2*c, -c = -5*d - 5*c - 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 27*t**3 - 57*t**2 + 151*t + 18. Calculate m(4).\nAnswer: 1438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -3045 (c) 452\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**5\/5 - 146*w**4\/5 + 4*w**3\/5 + 292*w**2\/5 - 2*w\/5 - 146\/5 = 0.\nAnswer: -73, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 24?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 26516565?\nAnswer: -26516566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2314 - 2318. What is the closest to -3\/7 in 1\/3, m, -1, 32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**5 - 44868*x**4 + 494084*x**3 + 583812*x**2 - 494080*x - 538944 = 0.\nAnswer: -11228, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246 and 618.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5 + 13 + 12*s + 11 - 31. Calculate w(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*2*(-7)\/(-28).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16647 and -9.\nAnswer: -149823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(9)*-4)\/((sqrt(108)\/sqrt(2))\/sqrt(9)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -949562, -5 in ascending order.\nAnswer: -949562, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 48523, 12, -15 in ascending order.\nAnswer: -15, 12, 48523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-12)*-12*(-2 - 3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 662605 + -662605. Solve -4\/5*f + r + 2\/5*f**3 - 2\/5*f**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 54. Suppose g*l = -3*l - 15. Which is the second biggest value? (a) l (b) -5 (c) 0.5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -684798 by 57.\nAnswer: -12014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 15244351533.\nAnswer: 15244351537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\/3*-3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000045195 rounded to seven decimal places?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 688 - 679. Suppose 0 = x*l - 10068 + 2733. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-22))\/(13\/234).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzzzzzzztszz.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by -24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**8\/420 - m**6\/180 - m**3\/6 - 3*m**2. Let j(v) be the first derivative of i(v). Find the third derivative of j(g) wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13016 is divided by 407?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*w - 48*w + 10 = 0. What is the closest to 0.1 in -4, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*b + 11671 - 11666 = 0, -h + 2*b + 5 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 376 = -5*n + 432, -24 = -2*n - 2*w for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3303 is divided by 3264?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 24 + 12 = 0. What is the common denominator of (250\/(-54))\/(6\/(-9)) and ((-15)\/x)\/((-21)\/102)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/128 and 113\/144.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 649957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5, 75, 267, 641, 1257, 2175?\n\"Answer: 10*p**3 + p**2 - 3*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/((-425)\/180) - 8\/10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 5. Suppose 0*v - v + j = 0. Calculate the remainder when (84\/(-18))\/((-11)\/6 - 174\/(-116)) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 2*t**2 - 4*t + 2. Let q be g(2). Let v = q - -8. Suppose -2 = -v*h + 14. What is the remainder when 22 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/56*(-91)\/78\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - n - 28, 2*c + 3 = 5*c + 4*n. Suppose -5 - 10 = -c*d. Solve 0 = w - d*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 560 = 549 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 7*p**2 - 5*p - 3. Let b be s(6). Let d(z) = -2*z - 5*z**3 + z + 0*z**3 - b*z**3. What is d(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -19186.75?\nAnswer: -3837.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:03 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6 and (10\/(-96))\/(5\/(-125))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7938634.\nAnswer: 2, 11, 23, 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*b**3 + 31*b**3 + 26*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011100101010 - 0?\nAnswer: 110011100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 16. Suppose -x + 3*x - 24 = -2*b, 0 = 4*b + 5*x - 48. Let h be u(b). Put -2, h, 5 in ascending order.\nAnswer: h, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 1119. Let y(i) = 233839*i + 233841*i - 467684*i. Give y(l(z)).\nAnswer: 8*z**2 - 4476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, -7, -18, -29, -40?\n\"Answer: -11*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/6 - (-1 + -3) - -4\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**25\/(k*k**(-37)\/k*k) assuming k is positive.\nAnswer: k**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -9*s + s. Let x(a) = -5*a**3 + 4*a**2 + 5*a - 7. Let l(v) = 6*v**3 - 5*v**2 - 6*v + 7. Let g(y) = s*l(y) - 5*x(y). Determine g(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 10143866?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**8\/3360 + l**7\/700 - l**6\/600 - l**5\/300 - 7*l**4\/12 - 2*l**2. Let m(c) be the second derivative of n(c). Factor m(i).\nAnswer: -2*(i - 1)**2*(5*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(11) - sqrt(99)\/(3*sqrt(9)))**2)*2 + 2.\nAnswer: 2*sqrt(11) + 106\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**3 + 5*l**2 + 1. Let r be f(4). Suppose 0 = 3*o - 0*o - 2*p - 197, -p + r = 5*o. Let h = 99 - o. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 3*l + 2*l - 27547*l**2 + 0*l + 27760*l**2.\nAnswer: 213*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + -3 - (0 - 146) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**3 + 2*n**2 - 1. Let v be x(1). Let o be ((-12)\/(-18))\/(v\/(-18)). Let m = 5 + o. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1403.5 times 0.2\nAnswer: -280.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(200)*-2).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -52c23?\nAnswer: -52c27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.23 + -3.1. Let s = -0.12999999 + y. What is s rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 90\/126*(-2)\/5. Let k = 2 + -4. Let m = -2 - k. Which is greater: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40894, -81638, -122388, -163144, -203906, -244674, -285448?\nAnswer: -326228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -496*q - 2727. Give t(-5).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -23783688.\nAnswer: -23783687.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 7:23 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -2\/15, -38\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9889725 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1341140 (base 5) to base 16\nAnswer: -6c16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118120.\nAnswer: 2, 5, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 10:17 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -3*g**2 + 18. Let m(b) = -b. Determine m(h(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 2, l: 4, d: 1, u: 7}. What is prob of picking 1 u and 1 e?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342 (base 5) to base 4.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 10, 2, 5, 4, -4.\nAnswer: -15, -4, 2, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479*v - 473*v = 12. Solve -3*h - 2*r = r, v*h + r - 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2858\/11 - 260. Let m = -663 + 663.2. Sort 2\/5, m, -4, q in descending order.\nAnswer: 2\/5, m, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 22*d**2 - d - 19. Is g(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*y**5\/2 - 4691*y**4\/2 + 496407*y**3\/2 + 732367*y**2\/2 - 21598*y - 137238 = 0. What is y?\nAnswer: -514, -1, 6\/11, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*b - 0*x, 3*b - 24 = -3*x. Let h be (-4)\/10 - 54\/(-10). What is the second derivative of 5*s**b - h*s + 3*s - 4*s**4 wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = h + 61, -3*h + 17 = -5*x - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68940)\/49790*(-130)\/(-8).\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8347.609us to seconds.\nAnswer: 0.008347609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**2*w)**(1\/12)\/((w\/w**(2\/9))\/w**(2\/9)) assuming w is positive.\nAnswer: w**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34.9 - -35. Put -4, 1\/2, h, -0.1 in decreasing order.\nAnswer: 1\/2, h, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {u: 4, e: 10, k: 3, v: 3}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 605.\nAnswer: 13\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -353290 divided by 10?\nAnswer: -35329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 35*i**6\/6 - i**5\/5 - i**3 + 31*i**2 - 125. What is the third derivative of s(y) wrt y?\nAnswer: 2100*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w + 45. Let s(k) be the first derivative of 2*k**2 + 6*k - 3. Let o be s(w). What is the highest common divisor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011011111101101001 (base 2) to base 8.\nAnswer: -2337551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2213 - -312. Is l a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115160, -230321, -345484, -460649?\nAnswer: -575816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3902 - 1096.0902. Round t to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**(6\/13)))\/i**(3\/10) assuming i is positive.\nAnswer: i**(-229\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from pstkd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h + 3 - 3)*(2 - h + 2*h + h) to the form n*h + r*h**2 + s and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 + 6*v + 1. Let m be h(-5). Let g = m - -157. What are the prime factors of (-2 - g)*(-11 + 10)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-28) - (179\/(-2506))\/((-2)\/(-222434)).\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3194.5 and 31.7.\nAnswer: 101265.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 892\/8797?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13545)\/154413*(-38)\/90.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21452457077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:40 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 12721380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 644, 1537, 2724, 4199, 5956, 7989?\nAnswer: 10292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u**3 - 19*u**2 - u - 5. Let q(v) = 8*v**3 - 18*v**2 - v - 5. Let o(w) = -6*n(w) + 7*q(w). What is the tens digit of o(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1473 = -135*a + 205*a - 4903 for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 6*n + 18. Let v(x) = -2*x**2 + 5*x - 17. Let i(b) = -3*k(b) - 2*v(b). Is 26 a factor of i(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 302032112?\nAnswer: -302032100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1754.\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 5*f**2 + 3*f + 3. Let u be j(-6). Let k = 18 + -14. Suppose u = k*p - p. What is the remainder when 25 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 6*i - 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-137800)\/1761084*6\/50.\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1 (b) -2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 + -56. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*l - 133*l + 8987 = 0. Sort l, 3, 5.\nAnswer: 3, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.1? (a) -0.1 (b) 5 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2\/1099, 1.8, -3, -0.09?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 0, 120 in ascending order.\nAnswer: -11, -1, 0, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3987, -3961, -3917, -3855?\n\"Answer: 9*w**2 - w - 3995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7561*n**3*v - n**3 + n**2*v - 2*n**2 + 1064*n*v wrt n?\nAnswer: 45366*n*v - 6*n + 2*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**5\/30 + 3*b**4\/4 + 8*b**3\/3 + b**2\/2 - 18*b + 52. Let t(n) be the second derivative of k(n). Suppose t(w) = 0. What is w?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*i + 19*i - 5*k - 42, 3*i - 14 = k. Let u be 1\/8*14*2. Which is the closest to u? (a) -4 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101010111010011110 (base 2) to base 16.\nAnswer: -aae9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 68 + -25 + -11 + 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w. Suppose -d = 4*i + 23, 4*i + 13 = 2*d - 1. Let l(f) = -1. Let z(c) = d*l(c) - 3*j(c). Is 13 a factor of z(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 3*a**3 + 0*a**3)*(3*a + 0 + 0) - a - 3 + a + a**4.\nAnswer: 7*a**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 505067059 to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2 (b) 587 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3194640 and 9280?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -252252, -504506, -756760, -1009014, -1261268?\n\"Answer: -252254*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z. Let d(o) = -19*o - 204 + 204. Give j(d(x)).\nAnswer: 38*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 18 = 3*l, 3*v - 5*l + 2 = -9. Suppose 4*r - 431 = -v*b, 5*r = -4*b + 7*r + 538. Is b a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 - 5 = 0. Suppose -f - 2*f - 89 = -5*y, 5*y + u*f = 103. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-84*y + 49*y + 7*y)*(0*y**2 + 3*y**2 - 2*y**2) in the form p + s*y + b*y**2 + n*y**3 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (-34)\/(-3) + 1\/(-3). Suppose 4*b - p*b = -7*b. Solve 2*q + q - 15 = b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 33 = 5*m. Let q(g) = -g**2 + g. Let h be q(4). What is the units digit of (m\/(-1))\/(-3) - h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 7000*m**2 + 133369*m + 156. What is a(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366*k + 356*k = -120. Solve t + k = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:51 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p**3 - 4*p**2 + 15*p - 29. Let v(l) = 4*l**3 + l**2 - 5*l + 10. Let s(r) = 3*g(r) + 8*v(r). Give s(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.99 times -0.1?\nAnswer: 9.999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -2\/15 (c) 18 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w + 11*w. Solve 5*j - j + 16 = w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 354, 34, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6185 take away 0.0334?\nAnswer: -6185.0334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5507112 by -456.\nAnswer: 12077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -z - 180, 5*h + 4*z = h + 688. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 12:53 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*l + 86, 3*l + 2*h - 204 + 86 = 0. Suppose 0 = -5*o - 2*f + 41, 0 = -o - 4*o - f + l. Suppose -69 = o*a + 36. Are a and -15 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -4. Let n be (m\/6)\/(11\/792). Suppose 3*l + n = 8*l. Calculate the remainder when l is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -276972.5 to the nearest one thousand.\nAnswer: -277000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 6*o + 9. Let w(h) = -h + 3. Let m be w(-4). What is the remainder when (1\/(-2))\/(2\/(-248)) is divided by v(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 10154 = -46355. What are the prime factors of q?\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 * 55073.\nAnswer: -2368139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.047243 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 4. Let l = 29 + -27. Let i(j) = -3 - 6*j + 2*j + 2*j**2 + l*j - 3*j**2. Determine 3*i(o) - 2*r(o).\nAnswer: -3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 0.04 (c) 1 (d) 0.3 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 39 - (-40 + 65 + 28)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -300 (b) -4 (c) -5 (d) 0.13 (e) 5 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11633561 (base 10) to base 14\nAnswer: 178b8c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 2*n - 16, -4*n = -x - 4 - 1. Suppose x*a = -4*u + 5, -5*u + u = -a - 9. Let 1\/3*c**3 + 0*c + 1\/6*c**u + 0 + 1\/6*c**4 = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 2. Let z be n(0). Let t(p) = p**2 + z*p - p - p. Let b(i) = -3*i. Let u(v) = -4*v. Let c(h) = -5*b(h) + 4*u(h). What is c(t(q))?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 + -0.9. What is the closest to n in 1\/8, -3\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**7\/14 + 2*j**6 - 87*j**5\/4 + 225*j**4\/2 - 270*j**3 + 324*j**2 + 39*j. Let h(u) = 0. Calculate u.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**5\/7 - 1664*m**4 + 12*m**3\/7 + 34952*m**2\/7 + 3328*m = 0. Calculate m.\nAnswer: -2912, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 27*n + 33. Calculate i(-22).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**3 - n + 2. Determine t(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3968533623 and 15.\nAnswer: -3968533608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**4\/3 - 2*n**2 + 16. Let q(x) = -4*x**2. Determine q(a(i)).\nAnswer: -256*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p**(-1\/2)\/p)\/p)\/p**0)\/(p\/(p*p**(-1\/2)*p)*p)**(10\/9))**(3\/4) assuming p is positive.\nAnswer: p**(-37\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p)**(-15\/7) assuming p is positive.\nAnswer: p**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 + 81 = -7*y. Let c = 18 - 8. Calculate the lowest common multiple of c and y.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s. Let a(g) = 12*g - 568. Calculate w(a(m)).\nAnswer: -36*m + 1704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1168378100?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, 3, -5, 5, -17 in descending order.\nAnswer: 5, 3, -6\/7, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/136 + (-4)\/(-112)*7\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3586419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - t**3 - t - 5*t + 4*t. Let b be g(-2). Suppose -3*f + f = b. Sort 0, -5, f in decreasing order.\nAnswer: 0, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19184, 19209, 19250, 19307, 19380, 19469?\n\"Answer: 8*u**2 + u + 19175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 2*q**2 - 3*q - 91. What are the prime factors of y(-9)?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.57*-0.03\nAnswer: -0.0471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 2. Let l be q(6). What is the greatest common factor of l and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-2)\/(-32)*4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23647067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:42 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/5 (b) 3 (c) -7\/8 (d) -149 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**9\/3024 + x**8\/560 + x**7\/280 + x**6\/360 - x**3\/3 + 4. Let b(y) be the third derivative of h(y). Factor b(m).\nAnswer: m**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3870 + -3931. Put 2\/7, -9, s, 0.3, -1\/4 in increasing order.\nAnswer: s, -9, -1\/4, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13582.6713 to the nearest 10.\nAnswer: 13580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147857802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1247539 or -1247536?\nAnswer: -1247536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -3\/2 (c) -3\/5 (d) 14.0487 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -6 + 9 - 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9639.2551 from 53.\nAnswer: -9586.2551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 408326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 48536840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-2 - -10) - -2. Suppose g*u + 99 = -n - 468, u = 4*n - 126. List the prime factors of -4 - 26*u\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(-2\/5)\/o)\/o)**37\/(o**(-4)\/o**(-5)))**(-24\/7) assuming o is positive.\nAnswer: o**(6336\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-12)*-1*-2)\/((-24)\/240).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2 = -2*p, -9*u - 230*p + 458*p + 112 = 230*p for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Suppose -607 = s - 5*s + 5*m, 0 = -4*s + u*m + 622. Let r = s - 95. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Solve -5*p - 2*s = -f*p - 23, 5*p = s + 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149758796?\nAnswer: 2, 11, 23, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + 91 - 176 + 85.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*v - 0 - 3, 0 = 3*a - 3*v + 18. Let y(u) = -u**3 - 4*u**2 - 2*u - 1. What is y(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + d - 5 + 1 + 3*d - 2*d + d + (3*d - 4*d + 0*d)*(1 - 3 + 3) - 1 + 1 + 2*d.\nAnswer: 4*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*204\/(-153)*(3 - 33\/8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-42) + (-7553)\/(-1274)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2594 - -3026. Calculate the least common multiple of z and 594.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61219*m - 61209*m + 453 = 133 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 8*a - 26. Suppose 4*h = 36 + 4. What is the remainder when m(-5) is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 25 = -5*j, 4*y + 10 = j - 11. Suppose -u + h = -3, -u - 3*h + 8 = j. Solve -u*z = -6 - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1059 divided by -353?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060 divided by 733?\nAnswer: 1060\/733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a11 - 0?\nAnswer: -4a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -473, -1917, -4319, -7673, -11973, -17213?\nAnswer: -23387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -491*s. Let m be f(-3). Is (-1)\/(-3)*(m - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/18*6*15\/(-30).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1206821 + -571934. Suppose -25103 = -a + r. Suppose 5*l + a = 2*d, -5*d - l = 2*l - 1650006. What is d rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + k - k**2)*(-822173 + 822177 - 1319*k - 177*k) in the form l*k**3 + n*k**2 + u + o*k and give l.\nAnswer: 1496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2459463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1a86952 (base 11) to base 3\nAnswer: -20121020112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 66 = -114. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10426407?\nAnswer: 3, 3475469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - g + 0*g)*(-6 + 2 + 2)*(3*g**3 - 6*g**3 - 5*g**3 + (-3*g**2 - 2*g**2 + 4*g**2)*(-4*g + g + 2*g) - 5*g**3 + 3*g**3 + 3*g**3 + 3 - 3*g**3 - 3).\nAnswer: 54*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1285?\nAnswer: 1285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/6)\/(10\/(-486)*-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 7 + (3 - (1 + 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -7. Suppose -o*n = -25*n + 204. What is the greatest common divisor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, n: 1, s: 1, u: 1}. What is prob of sequence ys?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44307326 or 44307331?\nAnswer: 44307326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*b - 818, 5*b - 2*t - 1342 = -4*t. What is the highest common factor of 162 and b?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/7 - 452*y**2\/7 - 10307*y\/7 - 57354\/7.\nAnswer: (y - 474)*(y + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6737*z**2 + 2098*z + 1 wrt z.\nAnswer: 13474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/((-44)\/18).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 65*n - 73*n = -13*n - 43, 3*u - 5*n = 46 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17140173, -17140170, -17140167, -17140164?\n\"Answer: 3*c - 17140176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46464 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 - 1454*d**2 + 1454*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 492, 996, 1514, 2052, 2616?\nAnswer: 3212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -1\/10 (c) 159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - i - 51. What is k(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 66. Suppose -390 = -x*u + 714. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -11*j**2 - 14*j - 34. Let n(o) = -4*o**2 - 4*o - 12. Determine 6*k(r) - 17*n(r).\nAnswer: 2*r**2 - 16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4944 and 3807?\nAnswer: 6273936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 16*a - 7. Let x be v(16). What is the remainder when 35 is divided by -5*((-18)\/7)\/((-5)\/x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide ((-4)\/2)\/(10\/(-45))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-11)\/(-10) + -1)*2. Let t = 20 - 39. Let m be (-115)\/(-35) - 3 - t\/7. What is the closest to 0.1 in 2, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*-2*0. Is 43 + -3 + c + 0 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359902.\nAnswer: 2, 179951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -411 - -411. Suppose -5*h = -f - 0 - 3, t = -2*h - 3*f + 8. Sort 4, 5, -2, h in ascending order.\nAnswer: -2, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 38. Let u be q(22). Suppose g - 34 = -g. Let v = 23 - g. What is the greatest common factor of u and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5*sqrt(208) + -3 - (sqrt(208)*-6 + -2))**2 + 5 + -2)*-5.\nAnswer: -3180 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -556 + 556.3. Which is the closest to 2? (a) q (b) 1\/3 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 139*l + 2832. Determine g(157).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*w**3 + 89*w**2 - 43*w**2 - 44*w**2 - 57*w**3 in the form y*w**2 + v*w + d*w**3 + g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - g + 6 = -0*g, 4*g = -3*s + 14. Let x be (s + -5)*(-2)\/6. Suppose 0 = 3*i - b - 79, 0 - x = b. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**6\/60 + t**5\/30 - t**3\/6 + 3*t**2. Let h be l(-1). Find the third derivative of 5 - 3*y**4 - h*y**2 - 5 + 0 wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*z**2 - 3\/2*z + 3\/4.\nAnswer: 3*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + n + 16 = 0, 62 = -5*n + 32. Solve 9 = -4*v - 3*g + 8*g, 2*g - 4 = q*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 1:34 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -95*f - 1236. What is q(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000046282819 rounded to 6 decimal places?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4\/3 (b) -0.113 (c) -0.4 (d) -8\/569\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5114212 (base 7) in base 15?\nAnswer: c0657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -82*m**3 + m**2 - 41*m + 104. Calculate t(3).\nAnswer: -2224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, 1, -3\/4, 0.236?\nAnswer: 0.236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 8*l - 1. Calculate b(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 28 = -3*x, x + 3*x - 9 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3, -32, 1, -4, 2\/1671?\nAnswer: 2\/1671","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3 + -30.7. Let n = s + 30. What is the closest to -0.1 in 4, 2\/13, n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -391*p - 18. Let n(k) = -1433*k - 73. Let b(x) = 22*m(x) - 6*n(x). What is b(-14)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/2807 and 6\/475.\nAnswer: 1333325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -101, -399, -895, -1589?\n\"Answer: -99*i**2 - i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 3*q)*(-q - 1 + 1) - q**2 - 3*q**2 + 2*q**2 - 11 + 11 - 7*q**2 - 3*q**2 + 4*q**2 - 2*q**2 + (-6 + 1 + 3)*(1 - 1 + q**2) + 5*q**2 + 1 - 1.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-8) + (-9)\/(-6). Let f = 7 + g. Let q(y) = y + 3. What is the units digit of q(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 4439*x**2 - 110150*x**2 - 25653*x**2 - 39441*x**2.\nAnswer: -170805*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 6. Let t(y) = y**5 - 7*y**4 + 3*y**3 - 5*y**2 + 4*y. Let j(g) = -g**5 + 8*g**4 - 3*g**3 + 6*g**2 - 5*g. Let w(r) = m*t(r) - 4*j(r). Factor w(o).\nAnswer: -o**2*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 186103, 186105, 186107, 186109, 186111, 186113?\n\"Answer: 2*x + 186101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by -444627\nAnswer: -91\/444627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 e, 1 y, and 1 f when four letters picked without replacement from jbeebefjjy?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -13*p - 1. Let g(c) = -116*c + 3338. What is -2*g(r) + 18*t(r)?\nAnswer: -2*r - 6694","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103851593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 92793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*f - 238*f = -312*f + 144 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14769847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -43846?\nAnswer: 43856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 21. Let h be (-96)\/56 - (-2)\/(-7). What are the prime factors of (-4 - -2)*l\/h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -8. Let r be u*-7*(-6)\/42. Solve -r = 5*b + 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 14*x - 47. What is a(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 20 = -4*u, 0*r = -5*u - r + 33. Calculate the lowest common multiple of u and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 765\/19 and -78703 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4 - 10*b - 45*b + 1. Let r be p(-4). Suppose 2*u - 620 + 570 = 0. What is the greatest common factor of r and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31803562982 + -1285.\nAnswer: 31803561697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a + 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**5 - 1890*t**4 + 400640*t**3 + 2456160*t**2 + 3294720*t = 0. Calculate t.\nAnswer: -528, -4, -2, 0, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*s + 10, 2*s - 20 = -b - 0*s. Suppose -b*c + 5*c - 5*c**2 + 10 - 4*c + 4*c**2 = 0. Calculate c.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*y - 44*y - 126*y + 221*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 78*d + 5880. Give q(47).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 6:55 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 901.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 53?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -2*n + 2*b + 6, 5*b + 15 = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152317, 152298, 152279, 152260, 152241?\nAnswer: 152222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 86, 108, 126, 140, 150, 156, 158?\n\"Answer: -2*l**2 + 28*l + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.617099cm?\nAnswer: 0.04617099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/7 + 47164*n\/7 + 47165\/7 = 0.\nAnswer: -1, 47165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/50)\/((54\/8)\/9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 11) + (271 - 278)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(2\/6)\/((-1676)\/(-68716)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-22)\/99 - 614\/396 and -37\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 11) in base 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12900?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 899666 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7318138*s - 7*s**2 + 43 - 7318138*s.\nAnswer: -7*s**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 17 = 3*p - 14, -2*p - 6 = 0. Let g = s + 34. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 1:36 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-228)\/16)\/(-4 + (-1989)\/(-504)) is divided by 90.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596680, 1193369, 1790046, 2386699, 2983316?\nAnswer: 3579885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -0.1 (c) -0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11072076?\nAnswer: 2, 3, 347, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2460871\/32 less than -76903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 143*s - 2568. Give h(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 544864 and 133664.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 5*m - 101. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -20, -1, 16?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 92\/24 - -5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 10) + -11 + 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/20 of a litre?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 15*j + 24 + 31*j + 2*j.\nAnswer: 45*j + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 977 = 2*u + u + 4*d, 5*u - 3*d = 1667. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31977 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 + 9 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(1 + (-1*sqrt(7) - sqrt(7))).\nAnswer: -6 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12144*n**3 + 4*n**2 + 2*n. Let o(t) = -133577*t**3 - 46*t**2 - 23*t. What is -2*o(l) - 23*y(l)?\nAnswer: -12158*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8354.\nAnswer: 2, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 219580\/(-7) + -63 + 58 - 8\/(-14). Round d to the nearest one hundred.\nAnswer: -31400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (434 - 315) + -83 - (-11 + 0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, and 1 p when three letters picked without replacement from peppppippipolppoo?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28627.5 days in nanoseconds?\nAnswer: 2473416000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3*t**5 + 996*i**3*t**4 + 110*i**3*t + t**2 wrt t.\nAnswer: 120*i**3*t**2 + 23904*i**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 + 37*n**2 - 36*n**2 + n as i + u*n**2 + l*n and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 3*g**2 - 7. Let o be l(-4). Suppose -o*k - 417 = -1362. List the prime factors of k.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 (base 13) to base 8\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448284631.\nAnswer: 23, 61, 941, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -5, 4, 169, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2\/3, 4, -0.3 in decreasing order.\nAnswer: 4, 2\/3, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -46. Let z be (-22)\/55 + (-602)\/(-5). Suppose -2*w + 132 = z. What is the greatest common divisor of d and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + a**3 - 2*a**3 + 24 - 6 + a**4 as r*a**4 + w + y*a**3 + g*a + z*a**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2 + 8 - 194*l + 2*l**3 + 186*l - 2*l**2 - 2*l**2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119*-0.3\nAnswer: -35.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13445*-0.26105.\nAnswer: -3509.81725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 989858251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -0.5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/((-8)\/(-2) + -3). Suppose -5*p + x*p = -15*p. Put 2, p, -4, -0.4 in increasing order.\nAnswer: -4, -0.4, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f - 60*f - 10*f**2 - 61*f + 5*f**2.\nAnswer: -5*f**2 - 137*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -247, -392, -551, -730, -935?\nAnswer: -1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*-1*(4 + -3). Suppose -4*z - 16 = 0, 3*n + z + 4*z + 17 = a. Let k = n - 1. Solve -2*p = -4*l - k*p, 0 = -l + 4*p + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - -17 - (-1)\/((-15)\/36).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 + 121 = -g. Let q(n) = -7 - n + 18 + 7. Let h be q(g). Which is smaller: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 3. Let c be d(4). Suppose 2*t = 5*a - 4, a + 4*a - c*t = -5. Suppose -4*n - y + 243 = 0, 3*n - 166 = -2*y - a*y. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/5*830\/332\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*(2 + sqrt(448))**2 + ((sqrt(448) - (0 + sqrt(448))) + -2)**2 - (4*((sqrt(448) - (sqrt(448) + -1))*1 - -3*(-1 + sqrt(448))))**2) + -4.\nAnswer: -2816*sqrt(7) + 132756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1215696 by -202616.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.134 - 0.17.\nAnswer: -0.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404*m + 2 - 99*m - 3*m**2 - 72*m.\nAnswer: -3*m**2 - 575*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61124 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122864 - -3680655093.\nAnswer: 3680777957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, -68, -1\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119.3902 litres to millilitres.\nAnswer: 119390.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 1. Suppose 8 + 13 = 3*d. Let y(m) = 4 - 4 - d*m - 3. Let t(u) = -4*s(u) + y(u). Find the first derivative of t(o) wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 53. Let x be (-2)\/(-10) - (-6)\/70. Is b at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41834 + -71?\nAnswer: 41753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32326)\/(-120) + (-1)\/4. Suppose -5*g = 5*w - g - 1337, 0 = 2*w + 2*g - 534. Let t = w - x. Is 0 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -250.3839 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. Suppose -n = g + g. Let k = g - -6. What is the nearest to -3 in k, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + j**2 + 3 + (12*j - 12*j - 7*j)*(-1 + 1 + 3*j).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*m**2 + 7 + 5 - 12.\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*n - 53 - 18 = 0, 0 = 3*z - 4*n - 62. Suppose 3*u + u = 44. Let a = z - u. Solve 5*i + a*c = 6*c - 21, 2 = 2*i + 4*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 + (-6573)\/(-315))\/(3\/5)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 46, -1\/21, 86, -0.14, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*h**2 + 525*h**2 - 352*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z + 48. Let p be h(-8). Does 7 divide (3 + -2)\/(4\/84 + p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 14. Let q be d*1\/(-2) + 7. Let c be (-3)\/(-3) - q\/6. Is -2\/7 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336, -679, -1022, -1365, -1708, -2051?\nAnswer: -2394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n + 32 - 32)*(4*n**3 - 5*n**3 - n**3).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -279.2 (c) 0.519\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 2)\/(2\/33). Let v = m - -23. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((6 + -5)\/2)\/((-3)\/1086). Let u = a - -279. Is 99 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 15560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 1.417 (c) 3\/8 (d) -6\/11 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10 + (-245)\/(-10))\/(1\/18) is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 - (46 + -12 + 8 + -18 - 15).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-1\/4)*x*x*x\/x**(-3)*(x*x**1*x*x)**(-13\/8) assuming x is positive.\nAnswer: x**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50*u**3 + 75*u**3 + 67*u**3)*(2 - 3 + 2) to the form s + y*u + x*u**2 + g*u**3 and give g.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13.2 (b) 3 (c) -6.6 (d) 0.119 (e) -0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, h: 1, b: 1, f: 2}. Give prob of picking 1 o, 1 h, and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Suppose 0 = 5*a - b*a. Solve -5*y + a - 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 3. Let j be v(3). What is j rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2682 = g - 2687. Determine z, given that 26*z**2 + 90*z**4 + 38*z**3 + 5*z**g + 267*z**3 - 420*z**2 - 506*z**2 + 454*z + 46*z = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 12 = -0*u. Let b = u + 9. Calculate the remainder when 10 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.3 - 23.596. Let l = 0.004 - z. Which is the nearest to l? (a) 0.2 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -789*l + 3043*l + 657*l + 125173 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 198997, 198980, 198973, 198976, 198989, 199012?\n\"Answer: 5*y**2 - 32*y + 199024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -258*i - 2 + 80*i + 84*i + 90*i in the form z*i + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 12\/5) + 4\/10. Let k be 4\/j - (-37 - (2 - 0)). Let i = -23 + k. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + y**2 - 12*y + 5. Let w be s(3). Solve -w*f + b = -b - 14, -f - 2*b = 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*t**3 + 46*t**3 + 31*t**3 - 164*t**3 + 36*t**3.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k - 6. Let h(z) = z - 1. Let m(n) = -d(n) + 6*h(n). Let c = 13 + -25. Let x(l) = l**2 - l. Let y(j) = c*x(j) - m(j). Factor y(b).\nAnswer: -3*b*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3339*a + 50. Is w(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 6:32 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*b - 110 = 200*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 y, and 2 s when four letters picked without replacement from {y: 1, s: 2, o: 2, f: 2, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -609830 by -46910.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01 and 28367.\nAnswer: 28367.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 13 + (-23 - -10). Let p(v) = 9*v**3 + 2*v**2 - v. Let d(n) = 19*n**3 + 5*n**2 - n. Calculate m*d(u) - 5*p(u).\nAnswer: -7*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 0*q + 0*q + (-q - 2*q + 2*q)*(-3 - 1 + 3) + (3 - 3 - 2*q)*(5 - 3 - 3).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 640\/((-14)\/(-29 - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24225 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431762.\nAnswer: 2, 59, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 25955280 to the nearest 10000.\nAnswer: 25960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 108820 rounded to the nearest one thousand?\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 3:11 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2525, -20118, -67869, -160856, -314157?\nAnswer: -542850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -52, -112, -194, -298, -424, -572?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2106 or 109.7?\nAnswer: -1\/2106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 18172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004682 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 9*a**2 + 10*a + 1. Suppose 197 = 3*i + 2. Calculate the remainder when i is divided by y(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r**2 - 19*r + 143. Is w(-19) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 874 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/5)\/(42\/(-3640)). Suppose 0 = -b + 3*t + 2*t + j, t - 80 = -b. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 33 = 4*g. Suppose -2*d + g*d + 2*q = 8, -3*d + 15 = 3*q. Solve 0 = d*l - 0 + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 2*b**2. Let x(i) = 26*i**3 - 6*i**2 - 140*i. Let d(m) = -3*w(m) - x(m). What is the second derivative of d(z) wrt z?\nAnswer: -174*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a418e + 3?\nAnswer: -2a418b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -6*a**2 + 17*a - 2070. Calculate i(7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 2. Let p be (-3)\/(-1 - l\/5). Which is greater: p or 14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.226 plus 0.1?\nAnswer: -1.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1980311889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3048 + 3049. Which is the fifth biggest value? (a) -5 (b) l (c) -2\/5 (d) -2 (e) -17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*z**3 + 40*z**3 + 9*z**3)*(7 + 2 - 5) to j + g*z**3 + h*z + u*z**2 and give g.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 0*w**5 + 2\/3*w**6 - 4\/3*w**3 + 0*w**4 + 3 + 0*w + 0*w**2. Find the third derivative of s(p) wrt p.\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6000 or -5998?\nAnswer: -5998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 6:58 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -342, -778, -1410, -2250, -3310?\nAnswer: -4602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-10 - -8) + 0 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 673791933 to the power of 1\/2, to the nearest integer?\nAnswer: 25958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2304 and 265344.\nAnswer: 1592064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*z - 5*b, -4*b - 2 = 4*z - 18. What is the third biggest value in -4, -2\/79, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31536 and 4920.\nAnswer: 6464880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p + 101 = 263 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -182 divided by 74\nAnswer: -91\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22166 (base 7) to base 12\nAnswer: -3295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 11*y**2. Let o(q) = -99*q**2 + 42541601*q - 42541601*q. What is o(h(l))?\nAnswer: -11979*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 7*z**2 - 72*z - 514. Let b be r(-7). Let j(u) = u**2 + 11*u + 7. Determine j(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o - 18 = f, -2*f = o + 31. Let p = f - -23. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**3 + 287*w**2 + 360*w + 408. Calculate n(73).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.16. Let g = -86.792 - 0.208. Let o = g - -88. Which is greater: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-1\/53)*o)*o)\/((o*o\/o**(3\/20))\/o) assuming o is positive.\nAnswer: o**(179\/1060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8977 + 214143. What is b rounded to the nearest one thousand?\nAnswer: 223000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 7.49.\nAnswer: 2.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2093*0.07471\nAnswer: 156.36803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 48*b - 58. Give t(-1).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1. Let d = 0 + m. Let a = -4 + d. What is the third smallest value in a, 1\/4, -1\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 123?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 26 + 6 + (-54 - -46)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -491574564 to the nearest 10000.\nAnswer: -491570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1388086432*z + 1388086432*z - 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**2 - z - 95315. Let i(a) = a. Determine k(i(o)).\nAnswer: -4*o**2 - o - 95315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -54, -85 in descending order.\nAnswer: 4, -54, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 5 - 3 + 101*i**3 + 4*i**2 - 99*i**3 - 3*i**2 in the form r*i + n*i**2 + l + v*i**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Suppose n*w - 6 = -2. Suppose 0*v - 4 = -w*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*j = 216*j - 139*j + 1274 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9\/517 - -10677\/10340. Let p = -2415 - -19255\/8. What is the common denominator of p and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**2 - 19*l + 59. Let w(f) = -6*f**2 - 19*f + 60. Let q(h) = -7*t(h) + 6*w(h). Let v be q(15). Sort 0, 2, v, 4.\nAnswer: 0, 2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 251*d**2 - 1778*d + 3079. Give n(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 0*b - 2*b + 86, -d = 3*b - 33. Let r be 36\/d*4\/3. Let p(n) = 65*n**3 - 2*n**2 + n. Is 16 a factor of p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 1 k when three letters picked without replacement from ksfogfe.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 46 = -5*i + 12, 3*z + 2*i - 70 = 0. Suppose -n + 2*d = -0*n + 8, -5*n + 3*d - z = 0. Let a = 4 - 2. What is the second smallest value in a, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(4 - 80\/12). What is the nearest to -2\/7 in 1\/3, -2\/33, v?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4082 - 53.5918. What is the closest to -1 in b, -1, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(35\/(-90))*(-8)\/24\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200 by -10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/30 - (-3417)\/(-30). Let c be (-95)\/t*(-18)\/(-10). Suppose -3\/2*f**4 + 6*f**3 - c - 9*f**2 + 6*f = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570 = 4*f + 2*l + 160, 97 = f - 5*l. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 7*q**5\/30 - q**4\/4 + q**3 + 3*q**2. What are the prime factors of d(3)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 11. Let m(w) = -w**2 + 6. What is 11*m(a) + 6*v(a)?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Suppose -u + f + 2 + 1 = 0, -2*f = -3*u + 5. Let a = -4 - u. Sort j, a, -2.\nAnswer: a, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2519*k + 5116. What is the remainder when 21525 is divided by q(2)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28\/9*u**3 - 32\/3 - 118\/9*u**2 + 188\/9*u - 2\/9*u**4 = 0. Calculate u.\nAnswer: 1, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 824688011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6302868 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaalaala. What is prob of sequence aa?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*z - 80048 - 104765, -4*z + 110883 = 3*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63*p + 72 - 3*p**2 + 0*p**2 + 6*p**2 - 26 + 48 wrt p?\nAnswer: 6*p - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvnln. What is prob of sequence vl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j + 5. Suppose -j*t = t. Suppose 369 = 4*n + c, n - 3*c + 2*c - 96 = t. Calculate the remainder when n is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/2)\/(1\/(-1)). Let v be 9*(1*-2 + j). Let k = v + 152. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p + 4. Let a(k) = -k - 4. Let r be a(-5). Let s(g) = -16*g - 15. Let i(v) = -3*v - 3. Let f(z) = -5*i(z) + s(z). Determine r*n(x) + 4*f(x).\nAnswer: -2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, b: 6, w: 9}. What is prob of picking 2 b?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 13*w - 1. Let l be h(13). Let s be ((-22)\/8)\/((-7)\/l). Suppose s = 4*v - 2*v. What is the highest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 + 0*z**3 + 5*z**3 + 12*z**3 + 7*z**3 - 4*z**3 + (0*z + 2*z - 4*z)*(z**2 + 2 - 2).\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + 0 + sqrt(147) + sqrt(147))**2 - (2 + -6*(sqrt(363) + 0)).\nAnswer: 94*sqrt(3) + 584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(sqrt(21) + (sqrt(189)\/(1*sqrt(9)) - sqrt(21))))\/((sqrt(3) - (sqrt(12) - sqrt(36)\/sqrt(3))) + 1*(2*sqrt(3) - sqrt(3))).\nAnswer: -25*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*x - 7. Suppose -5*w + w = -2*p - 106, p = -3*w + 72. Calculate the remainder when w is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1621 - -0.1771. Which is the third smallest value? (a) 0.3 (b) -1\/2 (c) -1\/7 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166341 is divided by 935.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50190*y + 34 = 50188*y - 2*w, -w = -3*y + 17 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**4\/4 + h**3\/3 + h**2\/2 + 123. Let l(c) = 3*c**3 + 2*c**2 + 2*c. Give -6*g(d) + 3*l(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 35. Solve -2*p + 3*p = 3*l + 10, -l = y*p - 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.899 * -122015\nAnswer: -109691.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -48, -197, -446, -795, -1244, -1793, -2442?\n\"Answer: -50*p**2 + p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 - 16*r + 53. Let g(d) = -d**2 - 5*d + 18. Let v(j) = -11*g(j) + 4*o(j). Determine v(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 1578*n - 1579*n + 10 = 0, i - n = -3*n + 10 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*k*o*p + 5*k*o + 38581*k*p - 2*k - 1764365*o + p with respect to k.\nAnswer: 22*o*p + 5*o + 38581*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2401, -4780, -7169, -9568, -11977, -14396?\nAnswer: -16825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a - 82. Let g be v(10). Find the common denominator of -54\/11 and ((-1)\/(-22))\/(2\/g).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w + 18. What is the remainder when q(7) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q + 152 = -q. Suppose -r + 30 = 4*s - 3, 0 = -3*r + q*s + 19. Solve 29 = -3*h + 4*m, 2*m - 4*m = -h - r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 10, -c + 2618 = 2*f + c. Let p = 765 - f. What are the prime factors of p\/(-4) - (-36)\/(-48)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -69, -228, -545, -1074, -1869, -2984?\n\"Answer: -9*w**3 + 2*w**2 + 2*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*141\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 146264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2976 - -2141. Calculate the highest common divisor of 85 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 + 25*q - 56. Let x(t) = 4*t**2 - 24*t + 55. Let u(z) = 5*w(z) + 6*x(z). Calculate the remainder when 45 is divided by u(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5 - 19. Suppose -d = j*d. Suppose 12*y - 10*y - 4 = d. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7611 by -3.\nAnswer: -2537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.28 rounded to zero dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2646830667.\nAnswer: 3, 13, 29, 2340257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/2 + 1*(2 - 0). Let y be ((-12)\/(-15))\/((12\/(-20))\/(-3)). Let z be y*1*(-33)\/(-550). Which is greater: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (0 - -1)*15. Let f be (3 - 7) + (-3 - (-2 + 1)). Let u = o - f. What is the least common multiple of 18 and u?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpsvyyspspypsyspy. Give prob of sequence py.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042771 is divided by 9309?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) -2 (c) -0.3 (d) -3\/5 (e) -6 (f) 5 (g) -10058\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 - 83. Let k = -111 - -110.9. Let z be (-11)\/(-3) + -1 + -2. Which is the closest to k? (a) z (b) -6\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*w = 45, 4*w = -5*x + 1 + 17. Suppose -50*c + 1698 = -802. Calculate the smallest common multiple of x and c.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 129830, 259642, 389442, 519230, 649006, 778770, 908522?\n\"Answer: -6*j**2 + 129830*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + sqrt(847) + sqrt(847) + sqrt(847)*-2 + sqrt(847) + sqrt(847) + sqrt(84)\/(sqrt(12) + (sqrt(48) - sqrt(12))).\nAnswer: 67*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1342 + 645 - 956)*((5*f**3 - 4*f**3 + 0*f**3)*(0*f - 4*f + 3*f) - 1 + 1 + 2*f**4 + 2*f**4 + 1 - 1).\nAnswer: -4959*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004658536 rounded to 6 dps?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**2 - 6*b - 6. Let u(m) = 6*m**2 + 6*m + 7. Let d = 83 + -77. Let r(l) = d*u(l) + 7*g(l). Let n(v) = -v**2 + 7*v. What is -4*n(h) - 5*r(h)?\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1561 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -188 (base 9) to base 5.\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 + 0.1. Let i = 1.4 + y. Let g(n) = -n - 6. Let r be g(-5). Which is the biggest value? (a) i (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + y + 3. Let u = 4 - 3. Let b = u + y. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q - i + 1, 2*i = 0. Suppose 0 = -0*m + q*m - 8. Suppose -m*p + 8*p - 260 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -35*g**2 + 82*g**2 - 3*g - 5 - 46*g**2. What is m(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 55 (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2174*j*y**4 - j*y**2 - 3605*j*y - 3*j - 18*y**2 + 138*y wrt y?\nAnswer: 26088*j*y**2 - 2*j - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.55 and -843.\nAnswer: 463.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + y = -3*y + 478, 1171 = -5*n + 4*y. Let s = n + 230. Which is smaller: -2\/153 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 10\/9, 0, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 10. Let p be o(13). Suppose z = p*z - 40. 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: Suppose 5*h + 3*z - 38273 = 0, 11*h - 8*h - 22959 = -z. List the prime factors of h.\nAnswer: 7, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79319835*j**2 + 396348498*j?\nAnswer: -158639670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-17)\/(15912\/15964).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1292*w + 1288*w = -20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 3654\/8 + 3\/12.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 502 - 500. Suppose 0 = -5*d + 10. Solve -8 = -j*i - d*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 7 + 6*q**2 - 8*q**2)*(-3*q - 3*q + 5*q) + 21*q**3 - 12*q**3 - 10*q**3 + (-3*q**2 - 2*q**2 + 4*q**2)*(2*q + q - 2*q).\nAnswer: -3*q**3 + 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*c - 4*p - 3, c - 7 = -5*p. Let t be 3 - c\/(-2) - 0. Calculate the remainder when 1 is divided by (2 - -1) + t\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11877 = 467*m + 21747 for m.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 196 - 1123. Suppose 2*y - x = 2*w + 535, 957 = 3*y + 5*w. What are the prime factors of y?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2714?\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 63, -8963 in ascending order.\nAnswer: -8963, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7310 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83*x**3 + 242 with respect to x.\nAnswer: -249*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29930 is divided by 14941.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-17))\/s*s*s*s*s**(-32))**(-10) assuming s is positive.\nAnswer: s**460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 23*q + 373. Calculate the remainder when z(31) is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24885 + 3.87557.\nAnswer: 24888.87557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 4*z + 5*z + 24, 2*z = 266*f - 261*f - 39 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*p**3 - 13*p**2 + 8*p**3 - 9*p**3 wrt p.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93 - (-28 - (-97 + 18)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2, 129.10633 in descending order.\nAnswer: 129.10633, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -29 (b) 3 (c) -140 (d) 2 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 36*b + 105.\nAnswer: 3*(b + 5)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 36080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2340 and 501462?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48939*-28.\nAnswer: 1370292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 1452412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/14 and 97\/45168.\nAnswer: 316176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9567\/100 + -2238\/25. Find the common denominator of (38\/9)\/(-1) - 2 and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30*(10\/(-6) - -1). Suppose 60*b + 18 = 18. Put 1, k, b in descending order.\nAnswer: 1, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1317532 (base 9) to base 11\nAnswer: -45250a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*((sqrt(242) - sqrt(242)*-2 - sqrt(242)) + sqrt(242)))**2*-6 + 1.\nAnswer: -13067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 434111 and 8?\nAnswer: 434103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 - f**2 + f + 20. Let c be (-12)\/20 + (-12)\/(-20). What is the remainder when 4\/(-14) + (-555)\/(-7) is divided by n(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*f - 141*f = 143 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z**4\/7 - 34812*z**3\/7 - 1218617*z**2\/7 - 2334762*z\/7 - 74048\/7 = 0. Calculate z.\nAnswer: -32, -2, -1\/31, 1157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-2)*28\/6. Let q(z) = -z**2 + 480*z + 8487. Let w be q(-17). Solve -y*m + w*m - 6 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6056052 and 6056052.\nAnswer: 6056052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, f: 1, k: 2, b: 4}. Give prob of picking 2 k and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 151*d**2 + 2*d + 3149. What is the remainder when t(0) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -269, -3, 5 in ascending order.\nAnswer: -269, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 12*r**2 - 4*r + 51. Calculate m(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 475*s + 44*s**2 - 699*s + 1177*s - 5.\nAnswer: 44*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 1. Let j(s) = 24*s - 11. Let k be j(9). Let l be (-2)\/7 - (1 - k\/105). Which is the nearest to 0? (a) 3 (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 2*m + 19, -6*m + 8*m - 13 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4, 1 = -5*t + 2*t + 5*m. Suppose -4*y - 2 = 5*o, -o = -3*y + 11 - t. Suppose 219 = -y*j - 187. What is j rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/7 - 528*j**2\/7 = 0. What is j?\nAnswer: 0, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 56*w - 108. What is p(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - 2*r + 4*r)*(-2 - 6 + 3)*((4 - 4 - 5*r)*(-55 - 27 + 25) + (-2*r - 3*r + 3*r)*(1 + 1 - 4)) in the form h + m*r + g*r**2 and give g.\nAnswer: -2890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -32*-2*9\/8. Suppose x + 4*s - 71 = 0, -r = -3*x - 3*s + 186. Calculate the highest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 238146 and 1159?\nAnswer: 14526906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 220. Determine s(18).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -16*q**3\/3 + 5*q**2\/2 - 5*q - 5878. Let c(u) = 33*u**2 - 11*u + 11. What is -3*c(z) - 7*n(z)?\nAnswer: 13*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(5\/120*-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/3, 1, -1\/3, 1578, 2\/37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: 66332 divided by -948\nAnswer: -16583\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/16160 and -127\/1512576.\nAnswer: 7562880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2205 and -47\/126.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 130, 316, 610, 1066, 1738, 2680, 3946?\n\"Answer: 9*x**3 + 123*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-17)\/s**(2\/43))**(-1\/50) assuming s is positive.\nAnswer: s**(733\/2150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*r**4 - 19*r**2 + 19*r**2 - 172*r**4)*(0 + 3 - 5).\nAnswer: 258*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, k: 2, x: 2, b: 1}. Give prob of picking 1 b and 2 x.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 23*o**9\/63 - 7*o**5\/10 - o**4\/12 + 2*o**2 - 11. Find the third derivative of q(z) wrt z.\nAnswer: 22080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (601 - 1213 + 19*q**4 + 614)*(2*q - 4*q + 0*q + 3*q + q - 6*q + 2*q - q - 3*q + (3 + 0 - 5)*(4 + 2*q - 4)).\nAnswer: -190*q**5 - 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -3\/54953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 323*w. Let m(c) = 2*c**2 - 4*c + 6*c**2 + 7 - 2*c - 36 + 26. Let a(o) = -6*o**2 + 4*o + 2. Let p(z) = 3*a(z) + 2*m(z). Calculate p(s(v)).\nAnswer: -208658*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 137710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125\/525)\/(20\/(-24))*-2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -301, -613, -925, -1237, -1549, -1861?\n\"Answer: -312*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + 18. Let p(x) = x**3 + 8*x**2 - 8*x + 9. Let c be p(-9). Suppose i - 425 = 3*n - l*n, c = 3*i + 2*n - 1261. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 9. Let i be 1\/(-5) - (-152)\/b. Solve -x - 4*s + 5 = 2*x, -4*x = s + i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 32314*m - 193812.\nAnswer: -2*(m - 16151)*(m - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 538 (base 13) to base 5\nAnswer: 12032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(17) - 6*(1 + sqrt(17))) + -4 - (1*(sqrt(2057) + sqrt(2057)*1 + sqrt(2057) + -2))**2.\nAnswer: -18527 + 134*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2125 - 2097. Suppose 4*v = -225 + 1233. What is the highest common factor of v and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -14. Suppose 5*j - a + 414 = 0, x*a + 62 = -j + 2*a. Is (-5)\/(10\/j)*5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 55*z - 100.\nAnswer: (z - 20)*(3*z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 12 = -2*w, -y + w - 1 = -4. Let b be (9\/y)\/((-12)\/(-16)). Is 2805\/(-10)*b\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.67096ml?\nAnswer: 0.00267096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -91006 (base 11) to base 10\nAnswer: -133106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 334*r + 2004. Let v be l(-6). Let h = -65\/122 + 2\/61. Sort 3, v, h, -0.1.\nAnswer: h, -0.1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + (-4)\/(4*(-2)\/16). Suppose -1\/2 - y - 1\/2*y**u = 0. Calculate y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68417408 to the nearest integer?\nAnswer: 8271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 269702341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -129, -261, -393?\n\"Answer: -132*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 498137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*h**2 - 28*h**2 - 10*h**2 - 15*h**2 - 12*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/2*10\/(-4). Suppose w*n = -5*g + 185, -182 = -2*n - 3*n - 4*g. Let s = n + -33. Calculate the greatest common factor of 6 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4 + 251*g**3 - 3453*g**2 - 15776*g + 8720 = 0.\nAnswer: -4, 1\/2, 20, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4 - 2 - 4 + 2 - 2 + y. Let h = 6 + 0. Suppose -h = -5*n - 16. Give z(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 311321120?\nAnswer: 311321111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/(-1078))\/(10 + (-4891)\/511))\/(4\/(-14))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**4\/4 - o**3\/6 + o**2. Calculate s(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -9.9. Let c = k + -0.1. What is the second smallest value in -0.3, c, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 + -72. Solve 2*d = -1 + a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1.4 (b) 0 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -172*-0.049\nAnswer: 8.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -13. Let l(r) = -r**3 + r**2 - r + 14. Calculate the remainder when l(0) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 7. What is the smallest common multiple of q and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26951.92989978 - 26949.2299. Let b = n + -2.7. What is b rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.5 - 1.1.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -558*h - 3. Let g(b) = -557*b - 2. Determine -3*a(o) + 4*g(o).\nAnswer: -554*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 - 39 = -5*u. Suppose 6*r - 2 = -u. Is ((-764)\/r)\/((-2)\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, i: 5}. Give prob of picking 3 o.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189 by 548.\nAnswer: 189\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2431 (base 11) in base 16?\nAnswer: c6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 k when three letters picked without replacement from ayyskzyyyzyzya.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**4\/4 + 10*y**3\/3 - 6*y**2 + y + 121. Is w(5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/15)\/(6 - (-217)\/(-35)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204\/258*(-28383)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*o + 67 - 19, 3*o = -4*h + 24. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 40*x**3 + 3*x**2 - 6*x + 3. Let p be j(3). Suppose 157*c - 161*c = -p. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36754637, -36754636, -36754635, -36754634, -36754633?\nAnswer: -36754632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2 - 2)*(53*g**2 + 45*g**2 - g + 2 - 314*g**2).\nAnswer: 432*g**3 + 2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/771328 and -127\/1150.\nAnswer: 19283200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-12)*(-23332)\/(-2763)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/14 + (23991\/(-21))\/(-11). Let n be (0 - -30)*(-7 - x\/(-16)). Which is bigger: n or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 8*f**2 - 7*f + 5. Let m be k(7). Is 7 - m - 465\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5)*f)**14*(f*f**(-3\/14))\/(((f\/(f*f\/(f\/(f\/f**(-1\/6)))))\/f)\/f) assuming f is positive.\nAnswer: f**(2473\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = 7*t - 14*t + f + 6 - 16, -4*f - 2*f = -30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6 = -4*r, -4*o + 2*r = 6*r - 12. Let b be 0\/1*(-3)\/3. Suppose -z + b = -o. Solve 5*h - z*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Let p(i) = -10*i**2 - i + 1. Let y be -33 + 16 - 72\/(-4). Determine y*p(d) + j(d).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/(f*f\/(f\/(f*f**(-8)))))))\/f)\/f**(6\/5)*(f**(-2\/3))**(2\/31) assuming f is positive.\nAnswer: f**(2212\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 96*v - 588. Give g(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1050)\/12*((-20)\/7)\/(-10).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004805 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 67872*a**2. Let i(h) = 35*h**2. Give u(i(o)).\nAnswer: 83143200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8\/l)\/(l*(l*l*l**(-3))\/l)*(l**(4\/3)*l)\/l**2 assuming l is positive.\nAnswer: l**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 - 54*j + 4. Let d(t) = t**2 - 57*t + 3. Give -4*d(a) + 3*m(a).\nAnswer: 5*a**2 + 66*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -4787633.9.\nAnswer: -4787631.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 438 = 2*y, -546 = 4*z - 9*z - 3*y. Let u(n) = -27*n**2 + 14 + 4*n + 55*n**2 - 27*n**2. What is the remainder when z is divided by u(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4304\/32 + 2\/4. Suppose -d = -5*j - 10. Let y = j + 9. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2336100 (base 11) to base 5\nAnswer: -2021001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112.4 + -6.4. Let v = x + -104. Let t = -4\/13 + 54\/91. What is the nearest to v in 2\/17, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s**2 - 20*s + 1. Let o be b(-2). Let q(j) = -j**3 + 16*j**2 - 15*j - 8. What are the prime factors of q(o)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6*(1 - 4). Find the second derivative of -5*a**2 + 3*a**2 + 0*a**o + 3*a wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7573*a**4 - 23*a**2 + 354183 wrt a?\nAnswer: 30292*a**3 - 46*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*(-4)\/(-88)*-12.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917 is divided by (-111)\/4*4\/(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0926 (b) 1\/7 (c) 0.7 (d) -244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + 60759 - 60633 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -21, 1, -26, -2, -25 in ascending order.\nAnswer: -26, -25, -21, -6, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6 + -0.416.\nAnswer: -3.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/(-3))\/5*(10 + -7). Let w be 6 + 119\/(-14) + (-2)\/l. Let y = -591\/4 + 147. What is the biggest value in w, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2270918 and 12?\nAnswer: 2270918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 4840460*n**2 - 4840464*n.\nAnswer: 4*n*(n - 1210116)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63575*k = c + 63606*k + 88, 2*k = -4*c + 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 48265*m - 48266*m - 106 = 0, -2*r + 4*m = -46 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 38*u**2 + 597*u - 101. What is a(-50)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q = -35*q - 63. Let v be ((-200)\/(-6))\/(-10)*q. Let i(k) = -k**3 + 6*k**2 - 6*k - 6. Let b(a) = -a**2 + a + 1. Give v*b(o) + 5*i(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1852 + -968. Suppose 2*k - 4*i - 84 = y, 5*i = -5*k + 2390. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-118)\/(-642) - 5\/15. Let q be ((-3691)\/5)\/(-1 + -213). Let r = b + q. What is the common denominator of r and 37\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -134 + 130. Which is the closest to 2\/3? (a) 0.03 (b) -1\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 108*k + 467. Give p(-5).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-9 + -55 + 25 + 67)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.3 - 4.8. Let t(d) = d**3 - 4*d**2 + 4*d - 1. Let x be t(2). Put 0, 0.025, x, s in increasing order.\nAnswer: x, 0, 0.025, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -625 - -628. Solve 2*u - 2*d + d + 1 = 0, 0 = 5*u + m*d + 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22.014 + 0.014. Let s be (-1)\/(4*(3 + -1 - 1)). Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3\/4 - 16744*z**2 + 133955*z\/4 - 33489\/2 = 0.\nAnswer: -66978, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-6))\/(6\/30))\/(-5)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 19\/4 of a millisecond?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -110\/63 greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154360535.000103 + -154360791. Let v = 451 + -195. Let d = v + i. Round d to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 14*n = 21500. List the prime factors of n.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2779, -2789, -2811, -2851, -2915?\n\"Answer: -g**3 - 3*g - 2775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + 12*v + 2*v**2 - v**2 + 3 - v**3. Let y(w) = -2*w - 10. Let p be y(-8). Let k be q(p). Solve 2*s + 1 = k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(200) - (sqrt(200) + 1 + -5)) + -1)**2 + (sqrt(200) - (4 + 0 + sqrt(200) - sqrt(200)))**2 + sqrt(200) + ((sqrt(200) + -1)*2)**2 + -2 + -3.\nAnswer: -150*sqrt(2) + 1016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52931?\nAnswer: 41, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/2*8\/(224\/(-14)). What is g in -2\/3*g - 5\/3*g**2 + 0 - 4\/3*g**l - 1\/3*g**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 2 - (-14 + 5 + -1 + 4).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.141 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0)*(10 - 6 + 27)*(0*k + 2*k - k + 0*k + 2*k + 0*k + (-3*k + k - 2*k)*(-7 + 4 - 6)).\nAnswer: 3627*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*w + 1200 - 4152. Let x = -13 + 28. What is the remainder when w is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:53 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + d**3 + 2*d**3 - 271*d**2 + 271*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 655267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 365.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -5 (c) -10\/11 (d) -1\/2 (e) 75 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/1020)\/((-3)\/(-5))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2438387 divided by -2438387\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57631, 48041, 32063, 9703, -19033, -54139, -95609?\n\"Answer: h**3 - 3200*h**2 + 3*h + 60827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*k**2 + 616046*k - 50830088.\nAnswer: 2*(k + 61687)*(5*k - 412)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10824)\/(-18942)*((-196)\/48 - -4)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -195, -6, -1 in ascending order.\nAnswer: -195, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 15, u: 5}. Give prob of picking 2 h.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44554040077915 - 0.4.\nAnswer: -44554040077915.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, a: 3, t: 4, e: 6}. What is prob of picking 1 e and 1 x?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/186*3)\/(3\/(-11)*(-14)\/42)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + eb2f?\nAnswer: eb2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 111, 181, 259, 345, 439, 541?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 20. Suppose -74*z = -93*z - 266. What is the smallest value in g, -2\/13, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(4\/11))**(1\/3))**21)**3 assuming k is positive.\nAnswer: k**(84\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5678930*w**3 - w**2 - 67941*w.\nAnswer: 34073580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7d - -152?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 0.035.\nAnswer: 1.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -16756300 to the nearest 100000.\nAnswer: -16800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 6. Let n = -13 + q. Suppose n*f - 13 = j - 4*j, 0 = f - 1. Solve -7 = 2*h - j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2459 - -319559\/130. Calculate the common denominator of q and 113\/2210.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -771013459*k**2*p + 1649*k*p - k + 7202*p + 2 wrt k.\nAnswer: -1542026918*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 1 = 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.104 - 3932.201542\nAnswer: -3932.305542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.4424603 to 2 dps.\nAnswer: 81.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.67619 rounded to 1 decimal place?\nAnswer: -39.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10818683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsss when four letters picked without replacement from {g: 2, s: 17}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-v + v - 2*v**3 + (-v**2 - v**2 + 4*v**2)*(v + 2*v - 5*v) + 10*v**3 + 4*v**2 - 4*v**2).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**3*h**2 - 28*b**3*s**2 + 3*b**2*h*s**2 + 30*b*h**2*s**2 + b*h**2 wrt h?\nAnswer: 8*b**3 + 60*b*s**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2525357.2 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 25 + 28 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0241894862 to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*x**(-4\/3))\/x)\/x)\/x)\/x)**(-4)\/(x**2)**16 assuming x is positive.\nAnswer: x**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74104844309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.651697 and 2?\nAnswer: -3.303394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102263\/12 + -8510. What is the common denominator of -53\/14 and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-2*5\/620.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 796*l**4 + 612*l wrt l.\nAnswer: 9552*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*b - w, 0 = -b - 3*b + w + 9. Let l be 4\/b + -1 + 14\/3. Let 3*u - 4*u**3 + 38 - 4*u + l*u**3 + u**2 - 39 = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -17*d**3 - 9*d**2 - 19*d + 1. Let w be j(-3). Let f = 31 + w. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -409149 + 0?\nAnswer: -409149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-1 + 1 - 6*x**4) - 8*x**2 - 5*x**4 + 8*x**2.\nAnswer: -17*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 9*l**2 + 39. What is the remainder when 480 is divided by r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88 + 128. What is the remainder when 198 is divided by p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 5. Suppose 45 = -4*b - b. Let g be k(b). Suppose 0*c + 39 = 3*c. Calculate the greatest common factor of g and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186991340 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4419 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 117 = -2*t, -22*t - 61*t - 16*t = -2*v + 5340 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + f + 8 = -3*g, 30*g - 192 = 76*g - f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 55171 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265063 is divided by 88353.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (sqrt(468)*-3 + -1 + sqrt(468) + 4)**2.\nAnswer: -72*sqrt(13) + 1885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/105511 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 m when four letters picked without replacement from {o: 3, r: 7, m: 3, d: 4, f: 1}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 243 - 170. Suppose -5*g + 267 + c = 0. Suppose g = -0*o + 2*o. Calculate the greatest common factor of o and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -92*d + 16. Let y(o) = -31*o. Let h(f) = a(f) - 2*y(f). Let x(c) = -10*c + 5. What is -3*h(i) + 10*x(i)?\nAnswer: -10*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {m: 6, r: 3, x: 1, b: 5, c: 1, q: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 290596158?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2688.\nAnswer: -8064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*z**4 - 1734415*z**3 - 10307060*z**2 + 630340*z + 444912 = 0.\nAnswer: -9269, -6, -2\/11, 4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 3*k. Let v be d(-4). Suppose v*s - 2*s = 0. Suppose -3*l + 13 = 2*w, s = l + 3*w - w - 11. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -2 + sqrt(128) + -2 + 2 + (sqrt(128) - (sqrt(128) + 0 + sqrt(128))))**2.\nAnswer: -32*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 8*n + 23. Let x = -9 + 13. What is the remainder when c(7) is divided by 40\/6 - x\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 5*l**3\/3 + 6*l**2 + 13*l + 11. Calculate the remainder when 89 is divided by v(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -679 - -4733\/7. Calculate the common denominator of 3 + (3 - (-302)\/(-12)) and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 3*w**2 + 9*w + 2. Calculate t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2 + 2 - 3 + 2*m + 0*m. Let p be l(0). Calculate the common denominator of (-1 - p)*(-85)\/(-16) and -53\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18221*j**4*u + 9406*j - 2*u wrt j.\nAnswer: 218652*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11351 - 0.11356369. Round m to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/sqrt(200) + (sqrt(17) - sqrt(272))**2 + 3.\nAnswer: sqrt(17)\/5 + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*c - 595 = 764 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32b73 + 26?\nAnswer: -32b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/3 - 1712428*o\/3 + 30822732 = 0. What is o?\nAnswer: 54, 1712374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.12 + 0.12. Is 0.2 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-222) + (-1077176)\/2576865?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-273)\/(-20)*(-4)\/6 and 47\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 - 13*s - 4. Let b be h(-5). Suppose -u = -b*d + 16*d - 111, d = 4*u - 486. Let g = 12 - 1. What is the highest common factor of u and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276 by 12.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n**2. Let c(o) = -80886*o - 1. What is c(l(t))?\nAnswer: -647088*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12\/13 - 14\/13. Sort -3\/5, j, 0.3, 2\/3.\nAnswer: -3\/5, j, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d + 6 - 157 = 53 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 14 - 34 = 0. Suppose -4*l = 4*w + 12, 2*w = 11*l - 15*l - f. Which is the smallest value? (a) -0.1 (b) -2\/5 (c) w (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1615887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 75 in 0.1, 2, 0.3, -1.2, 0.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 8:40 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9169 - (-3 - -6)) + 4 + (-4 - 6)?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) + 33\/9. Solve z - 3*p = -6, -5*p + 14 = -2*z + g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 - 7*o + 2*o**3 - 372*o**2 + 184*o**2 + 186*o**2 in the form z*o + v*o**4 + b*o**2 + a*o**3 + n and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -12901 and 18.\nAnswer: -12883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-93)\/1302)\/(8\/280)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0*f + 0*f + 2*f. Let o(i) be the second derivative of 2*i**3 - 167*i. What is o(n(q))?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 323.91 + -324.41. What is the biggest value in 67, 0.009, d?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 283 divided by 130764\nAnswer: 283\/130764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5515868 is divided by 4333.\nAnswer: 4292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**5\/7 + 172*g**4\/7 + 9749*g**3\/7 + 189230*g**2\/7 + 501996*g\/7 + 322344\/7 = 0.\nAnswer: -66, -37, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1691*u - 532 = -1719*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 7*j**4\/3 + 662*j**3\/3 + 188*j**2 + 4*j + 1. Suppose l(x) = 0. Calculate x.\nAnswer: -47, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1851, 1847, 1835, 1809, 1763?\n\"Answer: -p**3 + 2*p**2 - 3*p + 1853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3\/8, 6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-12)*((-9)\/14)\/(18\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + b - 1. Let u(n) = 10*n**2 + 8*n - 11. Determine 14*h(j) - 2*u(j).\nAnswer: -6*j**2 - 2*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**3 + g**2 + 3*g + 8. Let k(p) = 2*p**3 + p - 1. Let q(l) = -3*k(l) + n(l). Calculate q(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-5 + 5)) + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/239855 (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**20\/d*d)\/d*d**(-1)\/d assuming d is positive.\nAnswer: d**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*m + 8645 + 3444 - 1542 = -1234 for m.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - 2*a**2 + 3*a + 3. Let d be v(-2). Suppose -d*p = -12 - 13. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128\/(-114)*(-81)\/2 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32919253 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2800, 2684, 2568, 2452, 2336?\n\"Answer: -116*b + 2916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*q - 703*q + 1886*q + 8*q**2 - 705*q.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(5)*-5)\/(sqrt(14)\/(sqrt(7)*5)) + 0.\nAnswer: -25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11941523, -23883061, -35824599, -47766137, -59707675?\n\"Answer: -11941538*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 divided by -537270?\nAnswer: -107\/537270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7*l - 150 = 0. Let z be (-30)\/4*(-20)\/l. Let q be ((-3)\/z)\/(24\/(-15)). Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 27. Let f be d - (1 - (-1 + 3)). Let p be 4\/f - 6\/(-15). Solve p = 3*h - v - 9 - 4, -2*v - 11 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -131 - -241. What is the remainder when a is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -53*i + 2. Let d(y) = 11*y**2 + 137*y - 5. What is a(d(z))?\nAnswer: -583*z**2 - 7261*z + 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 154*h + 1. Let y(m) = -312*m - 3. Let i(t) = 2*u(t) + y(t). Let k(g) = -9*g. Give i(k(c)).\nAnswer: 36*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*3\/((-18)\/4). Let m be (-3)\/(-6)*10 - 2. Suppose y*v - 105 = -m*v. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -41.611.\nAnswer: -41.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x + 15, -4*x + 18 = -k. Find the third derivative of -i**4 + 9*i**4 - 5*i**k - 2*i**4 wrt i.\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 821378.9 centuries to millennia.\nAnswer: 82137.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7784*m - 7787*m - 84 = 0 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1468 + 1468 - 9*j + 2*j - 67*j**2.\nAnswer: -67*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22*7\/(-23947))\/(2\/(-2))?\nAnswer: -2\/311","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -11.7, -1\/50, -10?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -362*n**2 + 82*n + 236. Calculate q(-4).\nAnswer: -5884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 294. Let h(t) = -t - 99. Let p(o) = 8*h(o) - 3*m(o). Determine p(40).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 6) to base 11\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0*p**5 + 0*p**4 + 0*p + 6 + 5\/336*p**8 + 1\/14*p**7 + 1\/12*p**6 + 6*p**2 + 0*p**3. Let a(j) = 0. What is j?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + -2 + -3 - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 219\/9512?\nAnswer: 219\/9512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5349 + -0.1?\nAnswer: 5348.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d - 2*d + 0*d + (6 - 3 - 1)*(0*d - 3*d + 2*d) + (3*d + 3*d - d)*(5 - 3 + 3) in the form o*d + r and give o.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 - -22000201?\nAnswer: 22001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126672 - 126668. Let u(o) = -3*o**3 - 2*o**2 - 2*o - 4. Let x be u(-3). Sort i, x, 0.4 in ascending order.\nAnswer: 0.4, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/6)\/((-3)\/120). Let z = a - 34. Calculate the common denominator of 83\/4 and 12\/(-5)*10\/z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1547350 and 325150?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (2 + 13*2). Let u be 6\/(-8) - (8 + (-1899)\/36). Let l = m + u. Solve -5*v + l = -0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -106*t + 245. Let d be n(-17). Let v(m) = -4*m**3 + 2*m**2 + 7*m - 9. Let j be v(-7). Let c = d - j. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let n(v) = -15787988*v. Calculate p(n(s)).\nAnswer: 15787988*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5428b69 - -9?\nAnswer: 5428b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - q + 149 = -45, -524 = -8*g - 4*q. What is the remainder when 563 is divided by g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 8*u**2 + 44\/3*u + 4\/3*u**3.\nAnswer: 4*(u - 3)*(u - 2)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - 2.97. Let r = -0.9 - -1. Let s be (-2)\/7 - (-30)\/56. Which is the nearest to r? (a) v (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (18 + -23)) + 11 + -12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 8\/5 (c) 30 (d) -0.26 (e) -72\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*a**3*b**2 + a**3*b*i + 3*a**3*i - 2*a**2*b*i - 3*a**2 - a*b**2 + 4*b**2*i wrt a.\nAnswer: -84*b**2 + 6*b*i + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*c**2*f - 146*f wrt c?\nAnswer: 42*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -5*j + 5*n + 29, 28 = -2*j - 4*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i*p**3*z + 6*i*p**3 + i*p**2*z**2 - 3*i*z**2 - 2*i - 2*p**3 with respect to z.\nAnswer: -6*i*p**3 + 2*i*p**2*z - 6*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.065032?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92234 and 1819.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -2, -495, 3 in increasing order.\nAnswer: -495, -2, -2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 237957 - -2a6?\nAnswer: 237c30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(3447\/396 - 7) - 20?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(396)*-1))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 7*r**2\/2 + 2*r - 81. Let k(j) = -20*j - 6. Let s be (-1 + (-6)\/(-5))*85. Calculate s*l(x) + 6*k(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54 + -1?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/8, 0.2, 36\/7, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times 1039?\nAnswer: 166.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*c**5 + 6215*c**4 - 1656892*c**2?\nAnswer: 840*c**2 + 149160*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d - 211*d = 1844 + 392 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -178.\nAnswer: -178, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(209\/76)*1131\/(-52))\/(-1)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 + -5?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 89 + 151 = 0. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1410574*4.\nAnswer: 5642296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13\/2)\/(2\/4). Let h be (7 - 9)\/((-1)\/2). Suppose -h = 3*w - y. Solve 0 = u - w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1159875162*d**4 + 505067*d**2 + 1405 wrt d?\nAnswer: -27837003888*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015368927 rounded to 7 dps?\nAnswer: 0.0001537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 c, and 1 h when three letters picked without replacement from ihcdl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 16 = -4*f. Calculate the lowest common multiple of 162\/(-12)*(-512)\/96 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1 - -3) + 1 + -30 + 8\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t = -10*t + 25*t - 301. Is 106\/19 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212323 + -302131?\nAnswer: -23202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 2\/31 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*1)\/((-12)\/(-24)). Sort -2, x, 0 in increasing order.\nAnswer: -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10513044 (base 7) to base 4\nAnswer: 3132123000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) -2 (c) 29 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.6 from 16.\nAnswer: 16.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**2 - 1. Let i(s) = 2*s + 69. Calculate t(i(k)).\nAnswer: -20*k**2 - 1380*k - 23806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 + -93 + 93 - 52.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3180254 and 243180.\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*k - 4420810 + 4420394 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 9.5. Let f = 0.0072 - -0.1928. Which is the smallest value? (a) -2 (b) -2\/3 (c) f (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.9999892 + -31. Round x to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 - -104. Let u = 125 - 122. Suppose -51 - f = -u*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t - 15. Determine c(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 25 = 2*d, 25 = 4*l - 2*d - 11. Let w(m) = m**2 - 7*m - 10. Let j be w(l). Let k = j - 8. Calculate the remainder when k is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4428416 - 157845.\nAnswer: -4586261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21726 divided by -51\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v - 3544460 = 1721424. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - 1. Let v = 55 - 55.084. Let n = 1.284 + v. Which is smaller: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 136 (b) 1 (c) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (38 + -21 + -31)) + (-2 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 573 = 465. Suppose 0 = -7*x + 46 - q. Sort -4, 1, x.\nAnswer: -4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z**(-26)\/z))\/z*z*z)**(-12\/11) assuming z is positive.\nAnswer: z**(-360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 48?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 595*x + 11 - 1179*x + 589*x.\nAnswer: 5*x + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 927*i**2 + 1759*i - 91964. What is d(-929)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*i**2\/3 - 91474*i + 68606\/3 = 0. Calculate i.\nAnswer: -34303, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 5:07 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 487952 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 937100, 1874256, 2811408, 3748556, 4685700?\n\"Answer: -2*u**2 + 937162*u - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 1 (b) -4 (c) -0.1 (d) 2\/7 (e) -2348\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2568 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, e: 1, u: 1, n: 3, o: 7}. What is prob of sequence nob?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/196 and -73\/32?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179971675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 188604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 63 (b) -0.2 (c) 211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 331310120 (base 4) to base 16\nAnswer: 3dd18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*m - 85*n + 86*n - 32, -4*m + 5*n = 52 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 - ((187 - 115) + -67)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, p: 2, h: 1, d: 1, q: 1, v: 1}. Give prob of sequence dqpv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*b + 719*b - 69768 = -902*b for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7279622 and 266.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 10*s**2 - 12*s - 3. Let h be g(-11). Solve 2*b - 2*d + 4 = -4, -b + 2*d = h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2264645 is divided by 194?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + sqrt(567)*1 + -5)**2 - (5 + -6*((sqrt(70)\/sqrt(2))\/sqrt(5) + sqrt(63)*3)).\nAnswer: -912*sqrt(7) + 3883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -70055 and 0.2.\nAnswer: -14011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.261, 2\/25, 0.365, 2, 0.3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in hours?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.7 + 4. Let y = 0.2 + -0.1. Let m = -0.1 + y. What is the third smallest value in c, -0.1, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u, -881 = 3*i + u + 1040 + 767. Sort i, -2, -3.\nAnswer: i, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-2952 - 2*n + 0*n + 2899)*(4 - 3 + 2).\nAnswer: -12*n - 318","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29609240842 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r**2 - 25*r - 2. Let y(k) = -11 + 34*k**2 + 5*k**2 + 25*k**2 - 126*k. Let u(w) = -11*n(w) + 2*y(w). What is the second derivative of u(a) wrt a?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.12 + 3.1. Let w = -111 + 445\/4. Let n be (2\/3)\/((-11)\/33). Which is the nearest to n? (a) v (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 235 = 5*i, 2*n = 2*i - 0*n - 100. Let p be -3*-3*4\/i. Which is the smallest value? (a) -4 (b) 0.1 (c) 1 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-19)\/57 + 15616\/12 + 2.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75991\/18 - -4220. What is the common denominator of -91\/8 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 23*x**3 + x**2 + 10*x + 1. Let k(s) = -16*s**3 - s**2 - 7*s - 1. Let g(t) = -7*k(t) - 5*y(t). Let q(f) = -f**2 - 1. Determine g(a) + 2*q(a).\nAnswer: -3*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 24 + (-1 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**5\/2 + 6*l**3 + 3*l**2 - 9*l\/2 - 3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**2 - 244*u + 4653 wrt u?\nAnswer: 4*u - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 17*c**2 - 13*c + 85. Give u(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:57 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83.19 + 0.1.\nAnswer: 83.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*s - 9. Suppose d = -3*v + 4*v, d = s*v - 4. Find the third derivative of -2*h**d + 0*h**6 + h**2 + h**6 wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 - 2*o**3 - 4*o**2 - 2 + 7*o**2. Let p = 15118 - 15120. Determine a(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/144730 and 103\/72.\nAnswer: 5210280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 605.01177us?\nAnswer: 0.000000168058825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*n**3 + 108*n**3 + 0*n**3.\nAnswer: 476*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 548 divide 261982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671446 (base 14) to base 13.\nAnswer: 956aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 212223200101?\nAnswer: -212223200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -56*a + 68. List the prime factors of i(-5).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 41*l**2. Let o(y) be the first derivative of -y**5\/60 + 11*y**2\/2 - 41. Let u(w) be the second derivative of o(w). What is u(z(n))?\nAnswer: -1681*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*d + 17 = -195*d + 3*t, 3*t - 11 = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4334976.852 rounded to the nearest one hundred?\nAnswer: -4335000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -880100 to the nearest ten thousand.\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 316548363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-736)\/(-6))\/(12900\/225 - 56)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 7*n**2 - 77*n - 75. Calculate h(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 48*j = 22057. List the prime factors of j.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/(-18) + 3 - ((-916)\/(-32) + -10)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84531082.\nAnswer: 2, 42265541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 116 = 2*m, 94 = 5*u - 2*u - 5*m. Let a = -5 + 6. Is a\/(((-2)\/u)\/(-1)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v**2 - 12*v + 23. Let s(i) = -3*i**2 + 4*i - 8. Suppose 0 = -5*w - 433 + 1593. Let x be w\/56 + (-2)\/14. Let q(r) = x*b(r) + 11*s(r). Give q(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let p(i) = i**2 - 1. Let l(q) = 3*q**2 - 2. Suppose -3 = f - 1. Let a(v) = f*l(v) + 4*p(v). What is a(x(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u = 6*u - 112 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-198)\/15 + (-1)\/(-5). Let i(z) = -z + 18. Let q be i(0). Let f = g + q. What is the greatest common divisor of 10 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -26?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189)\/(-7)*(-20)\/10*(-1)\/2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 123084\/17635?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 21*z + 8. Let f(l) = 3*l**2 - 64*l + 21. Give 8*a(g) - 3*f(g).\nAnswer: -g**2 + 24*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/19)*c)\/c*c**0*c**(-1\/16)\/((((c**(-8\/9)\/c)\/c)\/c)\/c))**38 assuming c is positive.\nAnswer: c**(12773\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-6))**(-5\/6)*(g\/g**(-1\/15)*g)\/(g\/(g\/g**(-14))) assuming g is positive.\nAnswer: g**(607\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouo when three letters picked without replacement from {o: 2, v: 1, u: 14, n: 2}.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k**2 - 20*k + 8. Let z(g) = 6*g**2 + 20*g - 7. Give 5*r(s) + 6*z(s).\nAnswer: s**2 + 20*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 10*d**2 - 9*d + 15. Let l be w(11). Let r = l - 13. Find the common denominator of 1 + (4\/18)\/((-16)\/r) and -109\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.6, 4, 40?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 6205631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s - 274. Suppose -h + 4*h = 5*u - s, -2*h + 117 = 5*u. Calculate the highest common divisor of u and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r**2 + 210*r + 933. What is t(-6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 276033997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81076 divided by 6.\nAnswer: -40538\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -2)*5\/(-10). Let o = 1538\/45 + -172\/5. What is the nearest to -5 in o, 5, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213759 divided by -7.\nAnswer: 30537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-2668.701.\nAnswer: 800.6103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ebbeweveblveebw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 51 (b) -5 (c) -0.2 (d) -0.08 (e) 6 (f) 87 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d + 1 + 4*d - d - 8. Let k be w(10). Suppose -2*m - 425 = -6*m - 3*s, 0 = -k*m - s + 320. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 546 = 310. Let f be z\/(-10) - (-8)\/(-10). Let j be (-9)\/36 - f\/(-8). Solve 4*s = -j + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**3 + 0 + 12*f**2 - 2*f - 10*f**2 + 3*f**3 + 2. Let x be q(0). Solve o + 6 = 3*p, 0 = -3*o - x*p + 4 - 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n**3 + 9*n**3 + 4*n**2 - 5*n**3 + 2*n**4 as d*n + q + k*n**2 + f*n**3 + u*n**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5248.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 6*i + 14*i)*(3*i**2 - i**2 - 3*i**2).\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**8\/112 - 4*a**7\/7 + 16*a**6 - 256*a**5 + 2560*a**4 - 16384*a**3 + 36*a**2. Determine p, given that g(p) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*u**2 + 8*u + 53*u**3 + 10*u - 46*u + 16*u + 9*u wrt u.\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 6. Let v be a(-5). Let g be (1 - 1*-2) + v. Suppose 19 = g*m - 17. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -4 (c) -137.2 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63 - 16965\/(-270))\/(13\/6 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 0*f**3 - f**3)*(-3 - 1 + 1) + (f - 3*f + 4*f)*(-3*f**2 + 6*f**2 - 2*f**2) + 2*f - 2*f - f**3 - 31*f**3 + 0*f**3 + 9*f**3.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 232578 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -9*h - 50. Suppose 0 = a + 4, -h*k + a = -2*k - 30241. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 14*v**2 + 4*v**3 - 2*v + 11*v**2 - 3*v**3 - 28*v**2. Let i(u) = -u**2 + u + 4. Let h be i(0). Let j be x(h). Let m(w) = w + 3. Determine m(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, l: 3, o: 2, i: 2, q: 2}. What is prob of sequence oomi?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 29 - 5. Let j be (2\/(-10))\/(x\/10). Let d = -143 - -717\/5. Which is the third biggest value? (a) -0.3 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 118 - 106. Suppose 4*f - 12 = 4*w, -y*w + 2*f = 6*f - 4. Let c be 1 + (-1 - 6\/117). Is w less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x + 82. Let p(h) = h + 1. Let o(y) = i(y) + 2*p(y). Differentiate o(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/2434 and 37\/6.\nAnswer: 7302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1531, 12247, 41341, 98005, 191431?\nAnswer: 330811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*s = -s + 48, -3*s = 2*g - 26. Let u be 1*4\/g*25. Solve -3*f - u = f + 2*l, 0 = l - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -11 + (1 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Suppose g + 3 = 0, -5*g + g - 17 = -5*w. Let f(i) = i + 1 - 3*i - w. Determine n(f(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -0*o - 2*o. Let f = 22 + o. Let p = -7 - f. What is the remainder when 28 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4010 is divided by 60?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 28. Let u(h) = -57*h + 8. Let s(v) = 66*v - 10. Let r(j) = -6*s(j) - 7*u(j). Give f(r(a)).\nAnswer: 6*a - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -23, -6, 11, 16, -3, -58, -161?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61 * -96.\nAnswer: -5856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8661951 is divided by 718.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (1008\/630 - 28\/5)) + 32\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 17. Let a = q - -16. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 7 = -5*o. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/sqrt(512) - sqrt(52))\/(sqrt(44)\/(sqrt(11) - sqrt(11)*-4)).\nAnswer: -35*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 111*r - 4238. What is q(30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11196\/(-480) + 2\/10. Let f = -47\/2 - l. Let s be ((-12)\/15)\/(-3 + 4). What is the third biggest value in 3\/2, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 5, 0, 3 in ascending order.\nAnswer: 0, 3, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 120504 to the power of 1\/2, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 2*w + 1. Let a be b(-1). Let f be 4\/(-3) - 1\/a. Let y = 10 - f. Solve 3*v + 3*c = 4*v - y, -v = -4*c - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (38 + -18 - 22).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + (0 + 0 - -4). Let g(f) = 16*f - 1. Let b be g(i). What is the greatest common factor of 25 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 + 2 = 0. Let l be (6\/15)\/(b\/20). Let k(c) = 3*c + 1. Is k(l) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2098)\/5)\/((-21)\/(-5)). Let h = 96 + u. Let n = 16018 + -624644\/39. What is the common denominator of h and n?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 d when three letters picked without replacement from mmlmddm.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 28. Suppose r*c + 2*c = 0. Solve c = -3*i - 2*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.98 - -18.12. Let s = 21.099999957 - j. What is s rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*c - 5, -6*c + 5*c = -2*u. Let b(h) = 40*h**2 - 44*h**c + 9 - 9. Let k(a) = -24*a + 1. Give k(b(m)).\nAnswer: 96*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 2*h. Let k be u(2). Suppose 4*g = -k*g + 8. Suppose 0 = -g*j - j + 5*f + 86980, j = f + 28996. Round j to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 215*t - 461*t + 3*t + 0*t - 2*t + t + 0 - t + 0 + (2*t + 0*t - 4*t)*(4 - 1 - 5).\nAnswer: -241*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2\/3 - 4764848*s + 8513916173664 = 0.\nAnswer: 3573636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -395, -625, -855, -1085?\nAnswer: -1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.711 or 758?\nAnswer: 2.711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 244\/(-62) - -4 - 1560\/1116?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15942 + 15942 - 566*k + (-4 + 2 + 3)*(-k + 0*k + 2*k) + (5 - 3 - 1)*(-k + 2*k - 2*k).\nAnswer: -566*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/18 + 3\/(-54)*(425 - -11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 55.8. Let g = d + 6.79813. Round g to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**6 - 481*q**4 + 7750*q**2?\nAnswer: 360*q**3 - 11544*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362038 is divided by 30135.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 - 4\/(-4)*3 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/10 + 99\/(-6) + 16?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-91)*(0 + (-4)\/6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 0*r**4 - r**4 + (-5*r - 2*r**3 + 5*r)*(2*r + 1 - 1) - 68*r**2 - 5*r**4 + 68*r**2 - 3*r**4 - 2*r**4 + 0*r**4.\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/((56\/(-12))\/(-7)). Find the second derivative of s*t**5 + 33*t**3 - 33*t**3 + 5*t + 2*t wrt t.\nAnswer: 180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65757 divided by -69\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g + 8*g + 5*g. Let u be k(1). Let y(v) = v**3 - 11*v**2 + 18*v + 48. Let b be y(8). Solve 6 = -2*p + p - r, u*r + 25 = b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 117887671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Suppose -1 = t*m + 7. Let l(z) = 3*z**3 + 3*z**2 + 2*z. Let w(b) = b**3 + b**2 + b. Let u(f) = m*w(f) + l(f). Find o such that u(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -136409994.4 - -14887103.4. Let k = 121522908.99999504 + j. Let n = k + -18. What is n rounded to seven dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -740558241622 - -183695471834614891\/248050. Let n = -1\/9922 - f. Which is bigger: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 - -1.6. Let g be (-3)\/1 - ((-4233)\/867 + (-2)\/17). Suppose -4*v = 2*w + 3*w - 25, v = 3*w - 15. What is the closest to g in f, w, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 2. Let g be m(0). What is the third derivative of -2*p**2 - 2*p**5 - p**3 - p**g + p**3 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -292642, -292651, -292672, -292711, -292774, -292867, -292996, -293167?\n\"Answer: -u**3 - 2*u - 292639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -5. Suppose 12 = 5*p + 2*u, -5 = -0*p - 2*p - u. Let i(a) = 0 - 2 + 2*a**2 + 4*a - 3*a**p. Determine i(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/4*-2*8\/(-20). Suppose 94 = 2*d - g, 2*d - x*g - 90 = -0*g. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26bd (base 16) to base 2.\nAnswer: -10011010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 296854 or 296856?\nAnswer: 296856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h - 6. Let r(n) = -12*n + 14. Calculate -9*a(q) - 4*r(q).\nAnswer: -6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99183 - -3.\nAnswer: -99180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, f: 3, p: 1, z: 1}. Give prob of sequence zp.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckfc when four letters picked without replacement from cfkcfkck.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -184 - -184. Which is the nearest to 0.2? (a) -2 (b) f (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10159 is divided by 122?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5904417*q**3 - 535679*q**2?\nAnswer: -35426502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 31*r = -72*r + 510. What is the remainder when 101 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6081242?\nAnswer: 2, 29, 104849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61438261, -61438284, -61438341, -61438450, -61438629, -61438896?\nAnswer: -61439269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6797*l**3 + 55*l**2 + 106*l - 7. Is 24 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*-12*42\/7749*41?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0\/r**(2\/17) assuming r is positive.\nAnswer: r**(-2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-44)\/8)\/((-2)\/16). Suppose 4*g + j = 112. Suppose -102 = -x - 2*o + 17, -3*x + 357 = -o. What is the greatest common divisor of x and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-96)*-3*3\/33.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.6 - -4. Let q = 0.1 + l. Let m = 0.15 + 0.05. What is the third smallest value in 3, m, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 326 + -310. Suppose -2*d = 5 - 25. Calculate the remainder when v is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b - 160. Let q = b - -268. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 157*b**5 - 1230*b**3 + 457*b**2 + 668?\nAnswer: 9420*b**2 - 7380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139201\/2 - 69600. Let l = 18 + -13. What is the smallest value in -0.5, l, 4, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.361342 nanograms?\nAnswer: 0.000000000002361342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 (base 4) in base 12?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -2\/47 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -143 + 151. Solve -5*w + 25 = 0, -5*p + 13 = -n*p + 5*w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -1)*(-35)\/(-14). Let n be ((-140)\/(-5) - (7 - 1)) + 2 + -9. Solve -w - 2 = s - l, -5*s = 4*w - n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.039? (a) 1\/36 (b) -10 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-7) - (-66)\/84)*-2. Let s(n) = 2*n - 1. Let f be s(1). Which is the biggest value? (a) -1\/6 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 694 - -9?\nAnswer: 69d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(sqrt(52)\/sqrt(4))**2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 less than 3613\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 8*i - 6. Let s(q) = -q - 1. Suppose 3*j - 1 = -7, -3*b - 5*j - 28 = 0. Let g be (2\/(-16))\/((-11)\/88). Let h(r) = b*s(r) + g*y(r). Give h(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*3\/(-1))\/((-5)\/((-12)\/72*6))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 22.00691 weeks?\nAnswer: 13309779168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*g - 3*g - 4*g)*(-5*g + 0*g + 4*g) + (4*g - 3*g - 1 - 3*g)*(6 - 4*g - 6) to m*g + z*g**2 + j and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.6243 - -0.3757. Put 0.4, -2, -40, -5, u in increasing order.\nAnswer: -40, -5, -2, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -37. Let s = d - -12. Let -24*z - 4*z**2 - 20 + s*z**2 - 10 - 6 = 0. What is z?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1552*m**5 - 98*m**3 + 4376439*m.\nAnswer: 31040*m**3 - 588*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/4)\/(-94 + 100) - 308\/38?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-143)\/78 + (-1)\/(-3)). Does 5 divide o\/4*(-288)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 268956 + 2?\nAnswer: 268958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1051 or -8409\/8?\nAnswer: -8409\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -514 - -527. Is (-4)\/1 + (3435 - u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.831 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063499 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8*u**(-2\/15)*u*(u*u*u*u**(2\/7)\/u*u*u*u)**33)**27 assuming u is positive.\nAnswer: u**(173214\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + -0.2. Let v be -1 + (-2)\/(-9 - -7). What is the third smallest value in y, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -586, -12, -926 in descending order.\nAnswer: -12, -586, -926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207\/2 - -118. What is the common denominator of b and 2335\/400 + 4\/(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5252 + -5249. Solve -f*d = 5*v + 11, 3*d - 2*d + 2 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w = 30. Suppose -2*h - 2*r = -5*h + 10, -4 = -5*h - 3*r. Solve h - w = -3*k - 4*g, 4*g = 3*k + 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 4\/(4 + -8). Let f(a) = -566*a - 18. Let b(z) = -189*z - 6. Let t(y) = s*f(y) + 7*b(y). Let j be t(4). Round j to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 1612806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 7 + 0*i - 4*i)*(-4 + 12 - 38) to the form w*i + c and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57660*a - 1309 = -57847*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46064254897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2, 6*x - 9 = 2*x - 3*j. Suppose 0 = 4*d - 6 - 6. Suppose 0 = -x*u + d*n - 43 + 139, 68 = 2*u - n. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297670904227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 13.6.\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 48 = -4*n. Let v(t) = -t**2 + 4*t + 5. Let c be v(4). Sort 3, c, n in decreasing order.\nAnswer: c, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a427 (base 13) to base 7\nAnswer: -123056","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**3\/3 + 2*q**2 - 35*q - 3. Let p(a) = -1. Suppose 0 = 9*w + 17 - 35. What is w*j(d) + 10*p(d)?\nAnswer: 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 448*p**2 + 29*p**5 - 830*p**2 + 413*p**2 wrt p.\nAnswer: 1740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 1521 = 117. Calculate the least common multiple of 1066 and q.\nAnswer: 6396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 3. Let p be h(3). Suppose -2*d + 2*s = -p, -d + 3 = s - 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:33 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5753*b + 129. What are the prime factors of z(-4)?\nAnswer: 73, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92439 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i - 1. Let x be b(-2). Let q = -15 - x. Suppose -m + 3*z - q + 3 = 0, 2*m = -z - 10. Sort 4, -4, m in increasing order.\nAnswer: m, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 5, 0.3, 786, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18235.5 rounded to the nearest one hundred?\nAnswer: 18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**3 + 2*j - 1. Let v(p) = -4*p**2 - 52*p + 194. Let y be v(-16). Calculate u(y).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -10. Suppose 3*y - 187 = -b*c, -2*c + 7*c + 20 = 0. Suppose 5*q = -0*q + y. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3*(1 + sqrt(5)) - (sqrt(80) + 0)) + 1 + sqrt(55)\/((sqrt(77) + (sqrt(77)*1 - sqrt(77)))\/sqrt(7))) + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkk. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -8*r + 140. Suppose 6*a - r + 2 = 0. Sort a, 2, -10, -4.\nAnswer: -10, -4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 182, 198, 238, 314, 438, 622, 878?\n\"Answer: 2*n**3 + 2*n + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 565*d**3 + 111*d**3 + 21*d**3 + (-2*d + 1 - 1)*(-d**2 - 2*d**2 + 6*d**2).\nAnswer: 691*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*i + 90*i + 276*i - 217*i + 172*i + 234*i.\nAnswer: 669*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*24.6356\nAnswer: -2.46356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 135*g**2 + 220*g + 1117. What is the least common multiple of j(-5) and 16?\nAnswer: 3392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12528, 0.3, -0.2, -2.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 + 19. Let i(c) = 3*c**2 - 37. Let j(u) = 3*i(u) + 5*t(u). Let r(z) = 2*z. Determine r(j(l)).\nAnswer: -2*l**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14442 (base 6) to base 5.\nAnswer: 33310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1844 = -11*a + 48. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2 + 53\/26). Suppose 1 = -2*m - 5, -f - n = 2*m. Let h = -6 - f. What is the highest common factor of 56 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 131\/2. Which is the third smallest value? (a) q (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b + 6. Suppose -6 = -b*w - 2*q + q, -2*q - 6 = -3*w. Is 13 a factor of (4\/(-6))\/(w\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8771*i - 2785*i + 2136*i + 57711 = 857 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((((-2208)\/(-280))\/(-4))\/(210\/(-200)))\/(10\/(-35))\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4841133157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-37)\/((-370)\/(-12))*26\/6.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 9*x - 163 = 5*o, 284 = 5*x + 4*o. Does 4 divide ((-2152)\/64)\/((-7)\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1254 divide 477320052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129*a**2*n**2 + 1312*a**2*n - 2*a**2 + 127996 with respect to n.\nAnswer: -258*a**2*n + 1312*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + l**3 + 115*l + 96*l - 219*l + 1 + 6*l**2. Let y = 4 + 2. Suppose 2*v + y = v. What is h(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11313010 + 20?\nAnswer: -11312330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-4))**(7\/8) assuming m is positive.\nAnswer: m**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 54372, 54, 1, 7 in ascending order.\nAnswer: 1, 7, 54, 54372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhg when three letters picked without replacement from {g: 1, h: 2, m: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 19 - 23 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*t - 3*t**2 - 192*t + 2*t**2 - 151*t + 167*t to the form q + o*t**2 + j*t and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**3 - 3403*h**2 + 1572*h**2 + h**3 + 1831*h**2.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2016439.6692090441 - 2016439.64. Let k = -311.0292283441 + b. Let u = k + 311. Round u to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -262\/3 + 1840\/21. Find d, given that -6\/7*d**2 + r*d**4 + 8\/7*d + 8\/7 - 4\/7*d**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51225742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/(1\/4). Let o(g) = -g**3 + 2*g**2 + 22*g - 62. Let r be o(3). Sort r, 5, p, 1 in descending order.\nAnswer: 5, p, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 2. Let z(v) = v**2 - 17*v + 1. Let f be z(19). Let l = f - 39. Let s be (3 + 0)\/((-3)\/2) + l. Give u(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108825 and 2475?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3537611?\nAnswer: 7, 11, 45943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**42*p**1*p\/p**(1\/2) assuming p is positive.\nAnswer: p**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**4*y - 4*f**4 + 4*f**3*y - 9*f + 7*y wrt f.\nAnswer: 48*f**2*y - 48*f**2 + 24*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 189738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**6\/(b**(-5)\/b))\/(b**(-6)\/(b*b**(-3))))**(-35) assuming b is positive.\nAnswer: b**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313 = -d - 69. Suppose 5*n = 655 - 640, -5*n = 3*j - 747. Are j and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.101678632 rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20729558.\nAnswer: 2, 2969, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1196)\/130*10\/(-4). Solve 12 = l*i - 11*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -225*r + 229*r, 4*b = -r. Suppose -4*z = -f + 24, 7*f - 4*f + z - 7 = 0. Solve 4*n - 24 = -f*k - r, 0 = 5*k - n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/27064834 and -57\/87046358?\nAnswer: 3220715246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from mtmtmmmtmtmmttmmmmm.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3 = 3*n - 12, -2*n = -4*w + 14. Solve 4 = m - 4*o, m = -w*o - 1 + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13765)\/(-8259))\/((-30)\/1296*3).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3957 = -3007. What is the greatest common factor of 70 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13341 - 367?\nAnswer: 12974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-2 + 38 + -25 + (2 - 33)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5399, 10709, 16017, 21323?\nAnswer: 26627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 326 = 4*m. Let f = m - 46. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -259221924 and -0.1?\nAnswer: 25922192.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15594 - -257?\nAnswer: 157eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 72)\/8 - -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 701, 704, 709, 716, 725, 736?\n\"Answer: d**2 + 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 57*z - 61*z - 6 = 0, -3*f = 4*z + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 - 82. Put n, 2\/3, -2\/9 in decreasing order.\nAnswer: 2\/3, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*l + 5 + 2*l - 20*l in the form v + k*l and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9265.819 meters?\nAnswer: 9.265819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 3*r. Let x be w(3). Suppose 3*o + 1 = 3*s + 4, 4*o + 5*s + 5 = x. Sort o, -4, 4 in descending order.\nAnswer: 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 6 (b) 5 (c) 2\/13 (d) -1.7 (e) -14\/11 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/4787 + 19143\/23935. What is the nearest to -6 in 4, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114203 (base 8) in base 2?\nAnswer: 1001100010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*m**3\/3 - 5810*m**2\/3 + 1675*m\/6 - 10 = 0 for m.\nAnswer: -12, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 + (50 - 3069\/27))*6\/(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -10 + -18 - -3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 22*o + 30 - 3*o - 7*o + o**2. Let v be i(-9). Factor 3\/5 + 6\/5*w**2 + 9\/5*w - 3\/5*w**5 - 6\/5*w**v - 9\/5*w**4.\nAnswer: -3*(w - 1)*(w + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -16. Let k be 1 - (-3)\/15 - 3\/15. Let q = 1.97 + 0.03. What is the nearest to q in h, k, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(56)*3)\/((sqrt(8) - (sqrt(288) + sqrt(8)))*-3) + (((sqrt(175) + 0 + -1)**2 - sqrt(175)) + -5)*1.\nAnswer: -31*sqrt(7)\/2 + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9017705522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 3:51 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 241630297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18560\/(-8932) - (-276)\/161\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10812, -21618, -32424, -43230, -54036?\n\"Answer: -10806*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*u**3 - 175*u**2 - 240*u + 100.\nAnswer: -5*(u + 2)*(u + 10)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3513952 and 520?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, m: 2, s: 5, q: 2, o: 1, z: 2}. What is prob of sequence mzs?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 2471 - 2485 = 0. Let n = p + 1177. What are the prime factors of n?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrlrzykzyrnl. What is prob of picking 1 y, 1 n, and 1 r?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 16 = 0, -6*r = 3*h - r + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = g - 116, -2*g + 227 = 5*q - 6*q. Let l be (-4)\/(-26) - g\/(-39). Suppose -l*m + 80 = m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 48. Let f(q) = 20*q + 1048. What is -f(x) + 24*o(x)?\nAnswer: 28*x + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -145*c + 47 + 5 - 2 - 22. Is w(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**2. Suppose -5*m - 3 = 5*p + 7, 5*p + 15 = 0. Give a(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 326227849 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 64, 156, 280, 436?\n\"Answer: 16*t**2 + 44*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(263 - (2 - 6)). Let a = v + 64. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2. Let i(n) = -n**2 - 2*n**2 - n**2 + 5*n**2. Give q(i(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/3465 + 289\/(13005\/6)?\nAnswer: 6\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-88 - 0)\/(-2) + 0. Let v = -3884 + 3887. What is the remainder when -48*(v + f\/(-12)) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4293*m + x + 2*x + 31 = -4294*m, -m + 4*x = 10 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 less than 129\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3398 (base 11) to base 9.\nAnswer: 6108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 - f - 1. Let k(a) = a**2. Let h(x) = 3*k(x) - w(x). Let d(i) = -8*i**2 + 3*i + 6. What is d(g) - 3*h(g)?\nAnswer: -5*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*d = -62*d - 121 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*w)*(-4 + 4 + 1) + (0 + 3 - 1)*(2*w - 6*w + 3*w) - 1 - 4*w + 1.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7591778\/55 + -138024. Let d = 96\/11 - b. Suppose d*z**5 + 0 - 2\/5*z**3 - 2\/5*z**2 + 0*z + 2\/5*z**4 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -580223173 by -3.\nAnswer: 580223173\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 23597 = -14*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/46 and 125\/48?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 953 = 5*p, -4*s + 103 + 681 = 4*p. Suppose 4*i - p - 123 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47589772 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 654, 2521, 5618, 9945?\n\"Answer: 615*a**2 + 22*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-7)*35\/10. Suppose -8 = -2*y + 4. Let b be 2\/(-6) - (-2)\/y. Which is greater: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 4*s + s)*(-78 + 8*s + 78) + (0*s + s + s)*(-2*s + 0*s + 0*s) + 0 - 3*s**2 + 0 as a*s + h + d*s**2 and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2358, 582, 3518, 6450?\nAnswer: 9378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 47, 92, 151?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3\/5*s**5 + 9\/5*s**3 + 3*s**2 - 12\/5*s - 3*s**4 = 0. What is s?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-5 - 18) + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 273132 by 4.\nAnswer: 68283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(60)\/sqrt(192) - sqrt(5)).\nAnswer: -9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134 - 134. What is the closest to m in -1, 4, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 366.7874ng?\nAnswer: 0.0003667874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.004294 * 1.\nAnswer: 0.004294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -275*c - 157*c - 391*c as m*c + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627*k + 624*k - 1386900 = 0. What is k rounded to the nearest ten thousand?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 4*q**2 + q + 2. Let x be h(3). Let d = 26 - x. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*m - 14. Let y be (-30)\/9*m\/((-10)\/(-3)). Solve -5*h + 30 = y*b, 5*h - 16 = -0*h + 2*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/24)\/1*2 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 333 + -337. Suppose -11*h + 42 - 108 = 0. Which is the smallest value? (a) j (b) h (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 2*o. Let r be j(0). Solve 3*z + 41*v - 38*v + 15 = r, -2*z - 4 = -v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8227, -16459, -24701, -32959, -41239, -49547?\nAnswer: -57889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-14)*(12 + -20 - -42).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15376*a - 15431*a + 46236*a - 15432*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24943\/19760 - -1\/4940. What is the common denominator of (7\/(-112))\/(407\/1036) and h?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*(-20)\/75.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3499 - -0.0625.\nAnswer: -3498.9375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 + 13*u**2 - 4*u**2 - 4*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouo when three letters picked without replacement from oooooooooouuoououo.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 3*c**2 + 7*c + 14. Let m be (-176)\/(-33) - (-3)\/(-9). Let r be z(m). What is the nearest to 0 in 3, r, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -468, -469, -470, -471?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4454091.18s in weeks?\nAnswer: 7.36456875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*l - 12. Let d(j) be the second derivative of j**5\/4 - 7*j**3\/6 + 3*j**2\/2 + j - 734. Let x(p) = -11*p**3 + 14*p - 7. Determine l*x(k) - 7*d(k).\nAnswer: -2*k**3 + 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.045213 millennia in decades?\nAnswer: 304.5213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5763481139.\nAnswer: 13, 59, 503, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**5 - 9039*s**4 + 145*s**2 - 5063814*s.\nAnswer: 40*s**3 - 108468*s**2 + 290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.1, -10.7, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 10. Let h = -294 + 98. Let v = 184 + h. Calculate u(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)\/m*m)**(-3)\/(m*m\/(m\/(m\/((m\/(m*m*(m*(m**15*m*m)\/m*m)\/m))\/m*m)))*m**(2\/23)) assuming m is positive.\nAnswer: m**(-1432\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -1\/4*h**4 + 0*h**3 + 0*h + 0 - 20*h**2 - 1\/40*h**6 + 3\/20*h**5. Suppose f(r) = 0. What is r?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 54?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -18*v + 80. Suppose 19*p + 18 = v*p. Let t(n) be the third derivative of n**5\/60 + n**4\/4 - 7*n**3\/6 - n**2. What is t(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -290\/47 (b) 45 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 12240*r - 12484800.\nAnswer: -3*(r - 2040)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 34*o + 74. Let w(n) = 5*n - 2. Let z(y) = 2*q(y) + 18*w(y). What is the first derivative of z(x) wrt x?\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -4. Let o = -106.4 - -106.4. Which is the closest to 1? (a) -1 (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 438202 times 5\nAnswer: 2191010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21183434, 21183424, 21183410, 21183392?\n\"Answer: -2*z**2 - 4*z + 21183440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1568984 divided by 2.\nAnswer: -784492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/5 (b) 3 (c) 6\/11 (d) -4\/15999\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011326 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 251*z + 405. List the prime factors of l(93).\nAnswer: 3, 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1169 - 70139\/60. Let w(t) be the third derivative of 0 + 0*t**3 - 1\/120*t**6 - k*t**5 + 1\/12*t**4 - 3*t**2 + 0*t. Determine w(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - q - 1. Let a(k) = -39*k**2 + 9*k + 9. Let n(t) = -a(t) - 9*r(t). Let v(h) = -h. Determine n(v(l)).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13126 = 2393*i - 106453 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 5*l + l)*(-l**2 + 4 - 4) + (-28*l + 26*l**2 + 28*l)*(1 - l - 1) as n*l**2 + v*l**3 + g*l + b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/140871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-102) - 0)*82692\/(-55128)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54820 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 6*r - 2*r)*(-3*r**2 - 2*r**2 + 4*r**2)*(-10*r - 22*r + 14*r) + (-2*r**3 + 1 - 1)*(2*r + 0*r - r) - r**4 - r**4 - 8*r**4.\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -77*c**2 + 28220*c - 55*c**2 + 478*c**2 + 86*c**2 + 236*c**2 + 4*c**3 + 27556.\nAnswer: 4*(c + 1)*(c + 83)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -2*i**3\/3 + i**2 + i. Let z(v) = v. Let m = -28 - -31. Calculate m*z(g) + f(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 974 + c0a?\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/2)*p**(1\/8))**(15\/8))**36 assuming p is positive.\nAnswer: p**(1755\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44056 is divided by 1224.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -10. Let y be ((-2)\/36)\/((-3)\/6). Let n = 2\/577 - 1176\/6347. Which is the biggest value? (a) y (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 10, -0.0793, -2\/9, -2088 in descending order.\nAnswer: 10, -0.0793, -2\/9, -0.5, -2088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -1. Suppose -z = 3 - d. Let i(h) = h**2 + 2*h - 4. What is the least common multiple of i(-4) and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -7*h**3\/3 - 15*h**2\/2 + 22*h. Let z be i(-7). Is 33 a factor of 6\/(-10) - 30\/(-25)*z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2601 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**(-3\/10)\/(n\/(n*n\/(n*n\/((n**(3\/8)*n)\/n))))**(-7) assuming n is positive.\nAnswer: n**(127\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6.4846 - -0.1547\nAnswer: -6.3299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yybb when four letters picked without replacement from ddbddddbydy.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 162517209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/3*4\/(-14))\/((-7)\/21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 2*t - 2. Let b be f(2). Let n = 2 - b. Suppose 1 - 5 + 6*k - 2*k**2 + n = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 45339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -684.744 rounded to the nearest 10?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -10, 1, 2\/131, 0.1?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72.3 * -6.\nAnswer: -433.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4866, -19498, -43898, -78066?\nAnswer: -122002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert ca6 (base 14) to base 16.\nAnswer: 9c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-11 - 2) + 2 + 0 + 26 + -29)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 4:14 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*d**3 + 6684*d**2 - 2235*d - 4458 = 0. What is d?\nAnswer: -743, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27305 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j - 5*j + 2*j + 45 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34323, -34374, -34425?\n\"Answer: -51*r - 34272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1586 and 30256?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) - (-112)\/(-12). Let q be 3 - (4 - 6\/j). Let o = 30 + -121\/4. Put q, o, 2\/11 in ascending order.\nAnswer: q, o, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2102 divide 952879090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4)*(-22)\/495)\/((-5)\/75*-48)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**4 - 2*y**3 + 3*y**2 - 4*y. Let z(v) = -9*v**4 - 4*v**3 + 5*v**2 - 7*v. Let f be -2*1\/1 - -6. Let b(l) = f*z(l) - 7*g(l). Factor b(q).\nAnswer: -q**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8184*g**3 - 5*g**2 + 5. Does 66 divide r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p + 13. What is a(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*o + o + 7, -2*o = 5*y - 1. Let k be 40\/3 - (-2)\/(-6). Factor k*s**4 - s**5 + 7*s + 18*s**2 + y + 22*s**3 + 0 + 4*s**5.\nAnswer: (s + 1)**4*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46546 + 46551. Let n = 0 + 0. Solve -2*l = -r*i + 12 + 2, 5*l + i - 19 = n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -23*y. Let j be k(-1). Let t(u) = -58*u - 4 - 12*u + j. Is t(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*a**3*n + 1483*a**3 - 2*a**2*n - 9*a**2 + 4784387*a*n wrt a.\nAnswer: 324*a*n + 8898*a - 4*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eebmmmmnbmkbm. What is prob of sequence kemb?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 13.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 + 14)*4\/(-6). What is the nearest to -1 in 2, v, -1\/3, 1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 388 - 387.95. What is the second biggest value in -0.4, 0.6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**4 + 162*l**3 - 51*l**2 - 175377 wrt l?\nAnswer: -4*l**3 + 486*l**2 - 102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53293 is divided by 53221.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.6 - 3.45. Let s = -2 - -1.85. Let x = k + s. What is the biggest value in 0.1, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 53 = 57. Let y = f + 76. Suppose -2*w + 3*h + y = 0, 2*h + h = -4*w + 72. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1857769*p**3\/2 + 29720215*p**2 + 261687*p\/2 + 144 = 0.\nAnswer: -3\/1363, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 29 = -4*l + 5*s + 8, 5*s - 70 + 85 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*7\/2 + -12 + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706*i + 696*i - 50 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/3, 2\/11, -1\/8, 0.5 in descending order.\nAnswer: 0.5, 2\/11, -1\/8, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 24*t**2 - 4*t - 8. Let s(x) = -121*x**2 + 23*x + 41. Calculate 11*f(y) + 2*s(y).\nAnswer: 22*y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 - 72. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3988, 15926, 35822, 63676, 99488, 143258?\nAnswer: 194986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 477650\/17 + -28089. Does 8 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 4 (b) -0.4 (c) 0.42 (d) -4 (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/(-80) - 5)*-5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:54 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**3 - 2*r**2 - 4. Let s(j) = j**3 - j**2. Let o(t) = 2*s(t) - u(t). Find the first derivative of o(c) wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, n: 4, u: 5, o: 5, k: 1, m: 3}. What is prob of sequence ncmo?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.08 - 1.079949. What is b rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - -3. Calculate the remainder when g is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**5\/30 - 10*g**2 + 5*g. Let p(n) = 2*n**2 + 5. What is v(p(s))?\nAnswer: 8*s**4 + 40*s**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -8. Solve -2*h - 26 + w = 3*c, -2*h + 2 = -4*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30075310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*y - 24*y + 47*y + 25*y in the form c*y + n and give c.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*v + 207*v - 420*v - 355*v**2.\nAnswer: -355*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/455 + -459\/910. Let o = 20 + -17. Which is the third biggest value? (a) -5 (b) 4\/3 (c) o (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/207480 and -77\/1824?\nAnswer: 829920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29686 by 43.\nAnswer: -29686\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 10, 4 = -2*w + w - 2*c. Let x = -3 + w. Suppose -x*v = i - 4*v - 22, 0 = -4*i + 5*v + 91. What is the remainder when 36 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83232049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 38 + 87*l.\nAnswer: 87*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nppwnnninwwwnninpnnp. What is prob of picking 1 n, 1 i, and 2 w?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1478\/(-30) + (-3)\/9)*(-44 + (-3069)\/(-66))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/6695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**6\/6 - q**5 - 5*q**4\/2 - 10*q**3\/3 - 5*q**2\/2 - q - 69. Determine j so that s(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662540925.\nAnswer: 3, 5, 19, 464941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1. Let w(g) = -2*g + 9. Let l(t) = 5*o(t) - w(t). Let m(x) = -2 + x - 7 - 7 + 14. Determine -3*l(j) + 7*m(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 11, -15.\nAnswer: -15, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5440\/156400*(-5)\/2.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -418.31 + 427. Let i = 9.1 - s. What is i rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.3 + 7.92. Let o = g + -2.52. What is the closest to o in 4, 52, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s + 2. Let h be (2 - s)\/36*2. What is the nearest to 2 in h, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 43 + 4*u**2 - 21*u + 6*u**2 + 8*u + 4*u**2 - 4*u**2. Is 6 a factor of b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60315 - 5729984\/95. Find the common denominator of l and -49\/55.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 839922059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -12418 less than -5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) + 1*sqrt(3))*-4 + -4 + sqrt(243)*-1 + -3)*-5)**2.\nAnswer: 5950*sqrt(3) + 22900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 12*z + l, 4*z - 5*l + 2 = 0. Is 12 a factor of 406\/28*z*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 + 33. Let u be z\/(-2)*(-2 + -158)\/(-5). What is u rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -212140 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1342 = -2*v + 2*l, 4*v - 3*v - 665 = -l. What are the prime factors of v?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575.023847 rounded to one dp?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*k + 2*u, -3*k - 5*u + 5 = 4. Suppose -4*m = -13 + 1, -4*j + k*m = -6. Solve -3*y = -9 + j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from stsxsxsstt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 470276, 1881202, 4232732, 7524860, 11757580, 16930886?\n\"Answer: -d**3 + 470308*d**2 + 9*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12192422777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (46 - 44)*(-14 - -11)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.36 + -0.04. What is u rounded to 1 decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.46 + 8.4. Let k = -1.1 - y. Let c = k - -0.34. Is -1\/3 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1513\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/1316 and 40\/1269?\nAnswer: 35532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 5*d - 3*q, -626*d + 1267*d - 80 = 640*d - 6*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014602 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*1*(26 + -28). Suppose 4*g = -5*c + 124, -g + p*c + 0*c + 31 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y - 7. Let w be p(2). Let u(c) = 9*c - 2. Let j(h) = 6*h - 1. Suppose -3*t = 5*t + 64. Calculate t*j(i) + w*u(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -16 (c) -4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 123390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 8:52 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 21 - 9*p**2 + 11*p**2 + 11*p**2 + p**2 to the form t*p + o + a*p**2 and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 5 - 44\/18)\/((-592)\/18648).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d2 (base 14) in base 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 32*w - 37*w + 170, 0 = 3*f - 3*w + 534. Let t = -112 - 11. Let y = t - f. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650 is divided by 168?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 + (-5)\/(-10). Suppose 2*f - 4 - 4 = a. Let w be (2 - f)\/(3\/(-33)). Calculate the greatest common divisor of w and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uui when three letters picked without replacement from {i: 5, u: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**2 - 105*j - 450 = 0. What is j?\nAnswer: -15, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsfkpfllz. Give prob of sequence zpll.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.9779738 rounded to 2 dps?\nAnswer: -214.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, f: 12}. Give prob of sequence jjf.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 12:57 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66) + sqrt(66)*-2 + sqrt(66)))*1*-1)\/(1*sqrt(24) + (sqrt(864) + sqrt(54))\/sqrt(9) + sqrt(6)).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 76*y + 11808. Give n(-155).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*d + 258*d - 55*d - 52*d - 55*d - 54*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6 - 17 - 30 - 3 + 9*b. Let v be y(5). Let q(t) = -t + 1. Let h(s) = 6. Let d(x) = v*h(x) - 5*q(x). Let l(c) = -10*c - 1. Give 5*d(n) + 3*l(n).\nAnswer: -5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -q - 2 - 9, -22 = 2*q - 3*u. Let g = q + 13. Suppose 20 = 4*y, 720 = 4*c - g*y - 262. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -12. Let h be (3\/(-9))\/((-2)\/j). Suppose -h = -a + 12. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n**3 - 59*n**2 + 18*n + 105. Calculate the remainder when 2055 is divided by g(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3381 less than -0.4?\nAnswer: 3380.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = -14*h - 133 + 132 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001111111010 (base 2) in base 6?\nAnswer: -110350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30028, -240290, -811030, -1922488, -3754904, -6488518, -10303570, -15380300?\n\"Answer: -30040*s**3 + s**2 + 15*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + 941 - 1737 + 947 as c + m*o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 110*t**2 + 720*t + 113. Let k be c(103). Let b(w) = w**2 - 5*w - 9. Determine b(k).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -67, -97, -123, -145, -163, -177?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72372 divided by 4.\nAnswer: 18093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536553 is divided by 175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 22950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1272 (base 9) in base 6?\nAnswer: -4232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 12) to base 16\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 11:48 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 530, 796, 1062?\nAnswer: 1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 373 times 160.1\nAnswer: 59717.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24638510, -24638512, -24638514, -24638516?\n\"Answer: -2*f - 24638508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8401 at most 8460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 189 + 1777. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (76\/3)\/((-46)\/(-414)). Suppose -j = 2*a - 238. Solve 30 = -a*p + 11*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 18773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 o when four letters picked without replacement from {o: 1, a: 7, b: 1, x: 5, r: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)\/((-312)\/(-156)). Suppose x - w = -2986, 2*w = -3*x - 11033 + 2065. Let m be (-592)\/x - 4\/18. Which is smaller: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 2*m - m)*(-m + 2 - 2) - 8*m**2 + 3*m**2 + 15*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 251123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 93 - 42.2. What is c rounded to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*d + 24 = 0, -4*j - 6*d = -9*d - 22. Solve 0*p - j = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 35. Let w be h(-37). Let a(f) = -f**2 + 12*f + 5. Let n be a(12). Sort n, w, 4, -2 in decreasing order.\nAnswer: n, 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -2 + 0\/(-2). Suppose -i*s = -0*s. Solve l - 7 + 2 = s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.148 times -4.873\nAnswer: -0.721204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-3))\/((3120\/9)\/(-52)*3\/4).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 188\/441 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + (1 - 4) - (150 + -141).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 876.91725 seconds?\nAnswer: 0.243588125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -10 - (2 - (-1 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 1582?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -659316 divided by 6\nAnswer: -109886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/32123?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.41 + 0.01. Let t = 0.3 + i. Let j = 7 + -7. What is the third smallest value in t, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3 = 21. Solve 7 + 13 = j*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**4\/3 + 56*n**3\/3 + 256*n**2 + 4*n - 117. Suppose a(o) = 0. What is o?\nAnswer: -4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -383929*0.6.\nAnswer: -230357.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3 = 3*j. Let w be j\/(-3) - 7\/(-3). Factor -1 - f**w - 1 - 2*f + 1.\nAnswer: -(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 2. Let t(g) = 1258*g - 16 - 1259*g + 0 + 1. Let u be 1\/3 + 61\/(-3). Let h be t(u). Calculate r(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15536\/792 - (-2)\/(-9). Let k = u + -49\/22. Calculate the common denominator of k and (-2)\/8*(-244)\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18486 or 110911\/6?\nAnswer: 110911\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 26 = -4*g, 21*g + 3*o = 22*g - 14. Let w(r) be the second derivative of -r**4 + 4*r**2 + 7*r. Let n(a) = 4*a**2 - 3. Determine g*n(x) + 3*w(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukpurrbrrk. What is prob of sequence upu?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 22 + 30)*(-36 + 4*t + 36).\nAnswer: 148*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z**2 + 3*z - 3. Let y be k(-2). Let h = 38 + y. Find the common denominator of 1\/h*515\/10 and 1\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-9 + (-11 - -28))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 73 + 179. Let d be ((-21)\/2)\/((-3)\/6). Calculate the highest common factor of c and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**3 + 6*m**2 + 1716*m - 10394. Calculate w(6).\nAnswer: 1198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109871363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -127*q**4 + 176*q**5 + 127*q**4 + 5*q**5 - q**4 + q**4 + (0*q**2 + 0*q**2 + q**3)*(-4*q**2 + 2*q**2 + 0*q**2).\nAnswer: 179*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-38)\/(-57)*63))\/(2\/24).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -27*2 + 6\/3. Let s = 3 + -1. Let w be (s - m\/(-6))*-7500. Round w to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2261457 - -422?\nAnswer: 2262101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -6814*r**5 + 13*r**7 - 31 + 6814*r**5 - 13*r**3. What is the third derivative of m(q) wrt q?\nAnswer: 10920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10112100220000 (base 3) to base 12\nAnswer: -766346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 505067554 to the nearest integer?\nAnswer: 22474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 5:55 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424697, -424686, -424675, -424664, -424653, -424642?\nAnswer: -424631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + 17 + 2 + -1. Let v(g) = -10*g**3 - g + 2. Let m be v(-3). Calculate the greatest common divisor of b and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-2))\/(3 - 2). Suppose -g = 0, d = 2*t - 4*g + 508 - 130. Let z = -124 - t. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 - t**3 - t**3)*(t**2 - 4*t**2 + 5*t**2) + (4*t - 6*t + 0*t)*(-5*t**4 + 2*t**4 + t**4) + 2*t**5 - 2*t**5 - 2*t**5.\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (6 - (7 + -3)). Suppose j + z*j - 2*h - 64 = 0, 2*h = -5*j + 71. Solve -x - 5*c = -j, 0*c - c + 3 = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -c - 4, 3*u - c - 3 = c. Let i be 1 + 0 + 15 + u. Suppose -h + i = 4*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 + 96*t**3 + 100*t**2.\nAnswer: -4*t**2*(t - 25)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 5:16 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.9 + -32.1. Let s = 47.000058 + g. Round s to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1116 - 63.8884. Are 2.7 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12405415 (base 6) to base 15.\nAnswer: -80292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-2)\/(34\/(-153) - (-222)\/27)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.02. Let k = -54.7 + 56.7. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12483.3 + -12483.3000066563. What is h rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) + 40\/42. Let n = -184366 - -184365.93. Sort -1, 2\/5, n, r.\nAnswer: -1, n, r, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - n + n)*(-4 + 3 + 5)*(-1 + 3 - 4).\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3008 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 35 = -0*p. Suppose 4*i + 2*a - 47 - p = 0, -5*i - a + 104 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-2))\/((-90)\/(-1560)). Solve -p = d - 30 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/8 - 504*r + 61155\/8.\nAnswer: -3*(r - 15)*(r + 1359)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-602)\/215*(-10)\/7)\/((-15)\/90).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 98, 11, -128, -337?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3\/11 - 52*j**2\/11 + 2982*j\/11 - 21168\/11 = 0?\nAnswer: -56, 9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -300301023 (base 4) in base 12?\nAnswer: -97723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*r**3 + 76*r**2 + 52*r - 60 = 0.\nAnswer: -15\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 147*u + 748. Determine r(-4).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42359255 is divided by 88.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 6*w + 4. Let g = 124 - 131. Give j(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 797837 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 - (0 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 5*k - 77, -d - 65 + 3 = -4*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 273 - 131. Let b = -127 + n. Solve 4*l + i = -9, 2*i = 5*i + b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -49\/4 + 7\/2*j - 1\/4*j**2 = 0. What is j?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 8)\/2 - 1. Let k(d) = d + 2*d + d - a. What is the units digit of k(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(520) - sqrt(520)*-2)\/sqrt(10))\/(sqrt(28)\/(sqrt(14)\/sqrt(2))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 110 (b) -2\/153 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37255, 74489, 111723?\nAnswer: 148957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - p**2 + 0*p**2)*(5 - 1 - 2) - p + 13 + 28 - 2*p**2 - 37.\nAnswer: -4*p**2 - p + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1927 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 5*o**2 - 5*o - 4. Give k(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1 - 44018.\nAnswer: -44015.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -1, 5, -395 in descending order.\nAnswer: 8, 5, 3, -1, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2942 by 2.\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/35 + 14\/(-15). What is the closest to -2\/13 in q, 3, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (1 - -5)\/(-3). Suppose b - 31 = 4*b + 5*n, f = n + 5. Let t be 14\/(-4)*1*b. Solve -s = -3, -7 - t = r - 3*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4 - 4) + (2273 - 2261).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 787.87 at least as big as -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -363, 42, -37, -3 in decreasing order.\nAnswer: 42, -3, -37, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 757695255 to the power of 1\/3, to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*t + 20, -41*r + 5*t = -37*r + 26. What is the smallest value in 0.2, -5, -3, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 a when four letters picked without replacement from {a: 6, s: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*v**3 + 75*v + 2.\nAnswer: -246*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1182*o + 22367 + 3934 + 29902 - 6559 = 0 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, x: 4, w: 6}. What is prob of sequence xx?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4379.\nAnswer: 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 1822.47258 and 19.8.\nAnswer: 1842.27258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -27*j + 165. Let t be o(6). Suppose 0 = k + 4*y - 88, 5*y = -18 + t. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*l + 7 + 19, 3*l - 24 = -i. Let t be (24\/i)\/(-1 - -3). What is the nearest to t in 3\/5, -1, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2\/5 - 233264*w\/5 + 466488 = 0?\nAnswer: 10, 116622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 21*y**2 + 37*y - 16. Let f be n(-19). Find the second derivative of -15*u**2 + f*u + 7*u - 21*u - 18*u wrt u.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(8206\/1492)*21.\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q - 16. Let f(k) = 3*k - 7. Let i(w) = -3*f(w) - 3*y(w). Does 15 divide i(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 515*k - 383.\nAnswer: 515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -87716 divided by -3\nAnswer: 87716\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 510559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, o: 1, y: 2, d: 1, i: 2, h: 1}. What is prob of sequence dhfo?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*230272871.\nAnswer: 69081861.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*t + 29*t + 90 + 6. Let u = -0.7 - 0.3. What is the closest to u in -2, t, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 - 23*f**2\/3 - 20*f\/3 + 44\/3.\nAnswer: -(f - 1)*(f + 2)*(f + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 372, 1046, 1700, 2322, 2900, 3422?\n\"Answer: -2*z**3 + 2*z**2 + 682*z - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 797568643 to the power of 1\/3, to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 27*h + 13*h)*(5*h - 2*h - h) + (-3*h + 3*h - h)*(-164*h + 84*h + 68*h).\nAnswer: 90*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13085 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31480 + 31515. Let z(y) = 5*y**2 + 3*y - 1. What is the remainder when z(-4) is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Suppose 0*b - b = -5*n - 27, -3*b + 11 = -n. Sort -1, n, u in ascending order.\nAnswer: n, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0037 - -100.\nAnswer: 99.9963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 137 - 144 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/15*1)\/(73\/4015).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382.2903ms to hours.\nAnswer: 0.00010619175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + 2*w**3 - 2*w**3 + (-68 + 68 - 7*w)*(w**3 + 5*w**3 - w**3).\nAnswer: -34*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, h: 3}. What is prob of sequence jhjh?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**5\/60 - 5*i**4\/24 + i**3\/6 + i**2. Suppose 0 = -159*l + 150*l + 54. Give w(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.33? (a) -13\/4 (b) -2\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + (sqrt(72)*-1 - sqrt(72))\/sqrt(9) + 3*(sqrt(8)*2 - sqrt(8)) + -1)**2.\nAnswer: -8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/9304 and 151\/2854002.\nAnswer: 11416008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96 - 96 - 104*m**3 + (-5*m + m + 3*m)*(-3*m**2 + 0*m**2 + 2*m**2) + (-6 + 0 + 1)*(2*m - 2*m + 2*m**3).\nAnswer: -113*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 5, q: 3, k: 1}. What is prob of sequence qd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 to the power of 1\/2, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 312.0000049 - 312. What is r rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*k + 10. Suppose -7*h + 2*h - k*f = -3914, -h + 766 = -5*f. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 188, -5, 4, -2.\nAnswer: -5, -2, 4, 48, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 1\/(8*2\/83936)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -10. Let d = g - 12. Let y(l) = d + 6*l**2 - 19. Let s(c) = 2*c. Give y(s(o)).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/4 + (-9913)\/(-4) + -5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**3 + 5*h - 3*h**3 + 2615*h**2 - 2598*h**2 + 110. What is the remainder when 37 is divided by f(-17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 18. Calculate the highest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -39\/5*u**5 + 0*u**2 + 0*u**4 + 0*u**3 + 36*u - 22. Differentiate c(h) with respect to h.\nAnswer: -156*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {c: 4, n: 1, s: 1, o: 2, m: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 0 + (-12 - -7641). Let d = n + -3709. Suppose -302 - d = -4*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890 plus -99.29923?\nAnswer: 790.70077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 + 11*t + 1. Let m = 1074 + -1077. Let b be v(m). Let z = 1 - 6. Put b, z, 2 in descending order.\nAnswer: b, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -407 - -1224. Let c = y - 816.696. What is c rounded to 2 dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*m + 2*a - 9, 5*m + a = 0. Let s be (73 - m) + (7 - 6). Suppose 2*u = -u + s. Solve 3*y + u = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165*y**2 - 1 + 1 + 137*y**2 to h + t*y**2 + x*y and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*q + 3. Suppose r - q = -x + 22, -3*r + 59 = 5*x. 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: 21 + -25 + (5 - (2 + -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 100011011011010001?\nAnswer: 100011011011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**3\/2 + g. Let r(f) = f**2. Calculate a(r(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650527.\nAnswer: 389, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14272100, -28544281, -42816464, -57088649, -71360836?\nAnswer: -85633025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cal when three letters picked without replacement from {c: 2, m: 1, x: 1, o: 1, l: 2, a: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) 1 (b) -1\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 7*t + k - 9 = 0, 3*k + 13 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 9:10 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 17. Find the third derivative of -6*h**v - 12*h**4 + 9*h**4 - 6*h**4 + 21*h**2 wrt h.\nAnswer: -360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -11. Suppose -12*b + k*b = -3. What is the units digit of 3234\/18 - 1\/b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1773 + 213 = 156*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b - 9. Let w(r) = -6*r + 8. Let p(l) = -5*t(l) - 6*w(l). Let d be p(6). Let s = -3 + d. Is -2\/5 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2380, 19380, 65520, 155368, 303492, 524460, 832840, 1243200?\nAnswer: 1770108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 4. Let r be f(4). Let d(p) be the first derivative of p**4\/4 + p**3\/3 + p**2\/2 - 2*p + 246. Calculate d(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 38*f + 83 = 0, -5*u = 2*f + 206 - 329 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 9*d - 24. Suppose -d*y = -a - 2*y - 6, 4*y = 4*a + 12. Sort a, -4, 5 in decreasing order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 8:21 AM?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + t**2 - 3*t - 4. Is p(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/11 (b) 1 (c) 914 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (0 + sqrt(1331))*-3)**2 - (((sqrt(1331) + -1)**2 + sqrt(1331))*-2 - (((sqrt(1331) + -1 - sqrt(1331)) + 0)**2 + sqrt(1331))))*-5 + 4.\nAnswer: -73296 + 1375*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 13. Let g = 28 + -19. Let q = 12 - g. Sort f, 4, q in ascending order.\nAnswer: q, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1 - 59*r + 60*r - 1. Let a(g) = -g. Let v = -20 - -7. Let w(i) = -3*i. Let f(y) = v*a(y) + 6*w(y). Give f(d(h)).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - ((sqrt(567) + sqrt(567)*3)*5 - sqrt(567)))\/(-6*sqrt(576)*2).\nAnswer: 9*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**4\/4 - 3*v**3 + 4*v**2 + 76*v - 234. Let b be d(-9). Solve 9 = -3*j - 4*o + 1, -b*j + 41 = -5*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {t: 1, r: 1, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5436 = 120*q + 32*q + 1332 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**6\/10 + 3*b**5\/20 - 4*b. Factor d(c).\nAnswer: 3*c**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*f + 72*f = 161*f + 1376 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 3*v**2 - 10*v + 5. Let c be (((-110)\/(-8))\/(-11))\/((-1)\/4). What is the units digit of i(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.3, -1.082, -2, 5 in ascending order.\nAnswer: -3, -2, -1.082, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/8*8\/16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343 (base 5) to base 2.\nAnswer: 1100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + -2)\/((-1)\/(-9)). Let m be (-9)\/c + (-427)\/(-3). Suppose -5*n - k + m - 31 = 0, 3*n = -3*k + 69. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w = 6. Suppose -4*x - 5*y = -481, 4*x - 2*y - w*y = 431. Suppose 5*m - 2*o - 158 = 0, o = -5*m + x + 32. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by -7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k - 8. Let r(y) = -23*y + 10. Let f(j) = 5*i(j) + 4*r(j). Let d(h) = h**2. Calculate d(f(z)).\nAnswer: 2209*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghggghhghhvghgggg. Give prob of sequence gvg.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19024519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*j**5 - 10*j - 20.\nAnswer: 1500*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (694\/(-1041))\/(((-7)\/(-12))\/(-7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 37. Let l be q(21). Suppose -l*a - 1 = 2*x - 6, -5*x = 5*a + 10. Suppose 3*z = 2*u - 77, -5*z + 58 = 4*u - a*u. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24039 is divided by 961?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6306354, 12612704, 18919056, 25225410, 31531766, 37838124, 44144484?\nAnswer: 50450846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**4\/(n\/n**(-14\/5)) assuming n is positive.\nAnswer: n**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 213190567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqqd when four letters picked without replacement from {o: 2, q: 2, p: 4, d: 5}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 506, 1012, 1518, 2024, 2530?\n\"Answer: 506*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 25. Determine n(26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -m + 6*m + 2*d, -4*d = -2*m + 12. Let k(j) = 77*j**3 + 101 - 39*j**3 - 39*j**3. What is the remainder when k(m) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48513 and 1099.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*d + 1 = 0, -10*x + 8*x = 2*d. Let n(i) = -3*i**3 + 2*i**2 + i. Let k be n(x). Solve 0 = -k*l - 5*h + 27, -2*h = 2*l - 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 2*d**7\/735 - d**6\/21 - 37*d**5\/105 - 13*d**4\/21 - 2151*d**2. Factor v(q).\nAnswer: 4*q*(q - 13)*(q + 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5098*v**2 + 9996*v**2 - 4898*v**2 + 219589*v**3 - 219590*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-546))\/((-920)\/(-2898)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5615.824314 to the nearest integer.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/12856 and -21\/44?\nAnswer: 141416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v**2 + v - 1. Let f be s(1). Let b = f + 7. Let a(l) = 13*l**2 + 2*l + 1. What is the least common multiple of 10 and a(b)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u**2 - 5*u**4 + 5206 + 0*u**4 - 6*u**4 - 431 - 19*u + 796 wrt u?\nAnswer: -44*u**3 - 4*u - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 44 = -2*c. Let b(j) = c*j**3 + 2*j**2 + 112*j**3 - 1 + 2 - 5*j**2. Is b(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 8:05 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.377156 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*y = -3*y - 664, -5*y = 2*n - 354. Suppose 4*m + r = n + 78, -40 = -m + 4*r. Let b = m + -32. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*y - 100 + 50 + 50 - 113*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 16*y**2 - 68*y + 21. Let s be t(11). What is the closest to s in -3\/8, 0, 8, 26?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*v - 161, 3*f = 2*v + 2*v + 207. Suppose -1 = -2*x - f. Let w be ((-13)\/(-4))\/(1*(-1)\/x). Calculate the greatest common factor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.11 + 0.52. Let d = 1.37 + t. What is the fourth biggest value in 2\/11, 12, d, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 511285 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/252*3\/10.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4021*o + 152800. What is y(38)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281133 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 356755*g**3 - g**2 + 1158*g + 97?\nAnswer: 2140530*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 772, 1685, 2598, 3511, 4424, 5337?\n\"Answer: 913*f - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -10000?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2940578 (base 10) to base 5.\nAnswer: -1223044303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/2, 4, 3\/2, 0.9116 in increasing order.\nAnswer: -1\/2, 0.9116, 3\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -5.04.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 119.\nAnswer: -1\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h - u - 43840, 3*h + 4*u - 32880 = 0. Let i = h + -219123\/20. Find the common denominator of i and ((-1)\/20*-8)\/((-60)\/(-2425)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3044054 a multiple of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 + 10*m**2 - 8*m - 687. Is v(46) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 722993*f + 6506953. Determine o(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**2 - 15*m + 29. Let z be q(-4). Solve -13*b + 8*b = -z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**6\/20 + n**4\/24 + 2*n**3 + 2*n**2 + 4*n. Differentiate x(u) wrt u.\nAnswer: -18*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-31)\/2)\/((-1)\/(-140)*-2). Suppose -4*b - m - 88 = -2253, -2*b - 3*m + r = 0. What are the prime factors of b?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1, 0.132, -0.03471, 3\/7?\nAnswer: -0.03471","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -429 or -434?\nAnswer: -434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.5 - 20.49703. Round o to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14480311 or -14480312?\nAnswer: -14480311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 92877 - 1128*d**2 + 92879 - 185758 in the form l*d**2 + o + c*d and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*b + 17 = 0, 343*b = 342*b - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 19*v**2 - 41*v + 21.\nAnswer: (v - 1)**2*(v + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*x, -5*o + 2*x - x = -56. Solve -13 = -5*b + o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -87, -0.1, 1\/224 in descending order.\nAnswer: 1\/224, -0.1, -30, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5 = 5*s, 134*s - 4*g = 129*s + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13582967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -8 + 15 + 0*i + i. Let j be ((-28)\/8)\/((-2)\/(-4)). Let s be y(j). Solve -3*h + 3 = -s*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t**3 + 4*t**2 - 6*t. Let m(j) = -13*j**3 + 5*j**2 - 5*j. Give 3*m(c) - 4*z(c).\nAnswer: 9*c**3 - c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -827237000 to the nearest one million.\nAnswer: -827000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1062*q**2 - 17468*q - 7618. What is j(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199440699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0088505 to four decimal places.\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = 15. Let q be -17200001 - (-6 - 0)\/b. Round q to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.32905595 + 21.33. What is j rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 + h - h + (-3*h**2 + 6*h**2 - h**2)*(0*h + 2*h**2 + 0*h) + 2*h**2 - 2*h**4 + 4*h**3 - 4*h**3)*(-31*h - 3*h - 2*h).\nAnswer: -108*h**5 - 72*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7093 + 13187. What are the prime factors of p?\nAnswer: 2, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s + 5931 + 1713 = 85*s for s.\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 11:41 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 4, -5*o + 19 = -2*a + 5*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*i**2 + 4*i**3 - 6*i**4 - 21*i**2 + 94*i - 20*i**2 - 26*i**2 to p*i**3 + q*i**2 + j*i + m + b*i**4 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-24)*o*o\/(o\/o**(-4))*o**(-19)*o*o**34 assuming o is positive.\nAnswer: o**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**3 + 3*o. Suppose 4*n = -3*d + 10, 2*d - 4*d - 4*n = -12. Let a(q) = -6*q**3 - 2*q. What is d*r(s) - 3*a(s)?\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m. Let p be f(2). Suppose r = -6*k + p*k - 16, -4*k = -4*r + 16. Let u = -0.5 + 3.5. What is the nearest to r in -4, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430032 (base 5) in base 9?\nAnswer: 45152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 - 4*p**5 + 2*p**5 + (3*p + 0*p + 3*p)*(p**2 - p**2 + 2*p**4 + (2*p - 3*p - p)*(4 - 4 + p**3) - 3*p**4 + 4*p**4 + 0*p**4).\nAnswer: 7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2643255919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t = -3. Suppose -2*a + 9 = 2*v - t, a = v - 2. Let j = -4 - -4. Solve v*b - 4*h - 4 - 8 = 0, j = 2*b - 5*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11597, -23192, -34787?\nAnswer: -46382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1209*o**4 - 1686 wrt o?\nAnswer: -4836*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.689856ns in minutes?\nAnswer: 0.0000000000614976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*4.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 5) in base 2?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -65*b**2. Let m(x) = 47*x**2. What is o(m(w))?\nAnswer: -143585*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 8. Let l be n(-8). Suppose 0 = -4*w - y + 18, l*y = -2*w - 4*y + 16. Suppose h = -4*f + 54, -20 = w*h + 5*f - 181. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -44*j**2 + 11*j - 176. Let k(f) = 33*f**2 - 8*f + 132. Give 11*k(l) + 8*z(l).\nAnswer: 11*l**2 + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3929 divided by 3929\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 517 + -477. What is the highest common factor of 220 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2247997 divided by 3?\nAnswer: -2247997\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*l + 2, 5*x - 3*l = 7361. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113132 + 0?\nAnswer: -113132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*o - 2414 - 3336, 2*o = -i + 2875. List the prime factors of i.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l + 38. Determine g(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 16) to base 6\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 3, -5, -46 in descending order.\nAnswer: 7, 5, 3, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 + 63945*o - 246203550 = 0. Calculate o.\nAnswer: -24645, 3330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -190498946*j**2 + 178856894*j wrt j?\nAnswer: -380997892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w - 16*w + 10 = -5*g, 0 = 3*g - 2*w - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 158755 + 221676. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 5 - (-10 + -4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 22 = 5*a. Let r be 46\/10 - 4\/a. Calculate the common denominator of (13\/(-2))\/(r\/(-4)) and -83\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.147 and -0.2.\nAnswer: 0.0294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4678177667 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 5*k**2 - 4*k)*(-3 + 0 + 112*k**3 - 115*k**3).\nAnswer: 15*k**5 + 15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3210831 is divided by 1814.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 + 1 - -1) + (-133 + 24 - -109)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m - 7 = h, -2*m - 5*h = -19. Suppose 2 = -4*p - m. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 469 - 465. Suppose 2*z - 7 = -1. Solve -z + m = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -14051?\nAnswer: 5620.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-14))\/((260\/91)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 6.2.\nAnswer: -2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 8*h + 2. Let c be o(-8). Suppose 0 = 3*y + c*y - 190. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttyyttyttytt. What is prob of picking 3 t?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 1\/6*k**3 + 2 + 2*k**2 - 18*k - 3\/2*k**4. What is the second derivative of x(c) wrt c?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 + 92\/6. Suppose 2*p + 11 = 3*p - 5*q, b = 3*p + 3*q. Solve 2*y = c + 11, 0 = 3*c + p + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 16755727\nAnswer: 14\/16755727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/9493308 and -53\/527406?\nAnswer: 9493308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6828, 6862, 6896, 6930?\n\"Answer: 34*d + 6794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 185281, -0.012?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 6*m - 10*m - 8*m.\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -212032?\nAnswer: 212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Let p(i) be the second derivative of 1\/2*i**2 + i + 0. Let f(r) = r - 2. Give k*p(y) + f(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixjxxaaxaxxxaxixxxx. What is prob of picking 1 i and 1 j?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = -9*f + 3600. Let l = 13 - 4. Suppose 13*v - f = l*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 60.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from jbbbbtuubnbj.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/4 - 15*n**2\/4 - 9*n\/2.\nAnswer: -3*n*(n + 2)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 145*f + 3183. Give u(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 7 = -9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*q - 364*q + 709*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2241*s**3 - 1173*s**3 - 1062*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 12. Let i be q(10). Let t be i*1 + 3 + -2. Let m(f) = 2*f**2 - 3*f - 1. Calculate m(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 + (-1 + 3 - 3)*(-3 + 2 + 0) - 3 - 3 + 4 + 4 - 5 - 1)*(-2*s**2 + 2*s**2 + s**4).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwt when three letters picked without replacement from {w: 2, t: 5, u: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -20. Suppose -h*b - 6 = -8*b. Put -5, b, 6, 0 in descending order.\nAnswer: 6, b, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -279, -285, -295, -309, -327, -349?\n\"Answer: -2*h**2 - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2635318\/(-147))\/((-6)\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33732 or -134927\/4?\nAnswer: -33732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) -29753 (b) -3\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (5 - (1 + 2))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -19*n**6\/120 - 22*n**3\/3 - 119. Let z(d) be the third derivative of b(d). Let x(c) = -c**2. Determine z(x(q)).\nAnswer: -57*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcg when three letters picked without replacement from {c: 9, g: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/22 - (-725)\/(-1925). Which is the biggest value? (a) -0.2 (b) -0.4 (c) j (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447814, -895606, -1343398, -1791190, -2238982?\nAnswer: -2686774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172959339 - 172959339 - r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 4*c**2 + 3*c - 6. Let i be w(-5). Let n be i\/10 - 240\/(-25). Suppose 0 = -3*x + 5*h - 2, -3*x - 4*h + 5 = -2*h. Solve 3*b - x + n = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 - 7*w + 267.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 8:04 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 6, 30, 74, 144, 246, 386?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x = -44. Suppose -29 = 4*w - 0*w - v, -2*v - x = 2*w. Let q = -12 - w. Which is greater: q or -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x - 3*x + 4*x - 2*x. Let f(l) be the second derivative of l**3\/3 + 2*l. What is f(h(z))?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 + -8)\/(-1 - 1). Factor -140*i**2 + x*i**4 - 8 + 16*i + 134*i**2 - 4*i**3 + 2*i**4.\nAnswer: 2*(i - 2)*(i - 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 125, 121, 117, 113, 109?\n\"Answer: -4*o + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m - 6. Let b(h) = -11*h - 11. Determine -2*b(d) + 5*w(d).\nAnswer: -3*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tktttttmmkttmm. What is prob of picking 1 k and 3 t?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 284 - 112 = 0. Let g = x + 143. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-6)*-10*3. Let s = t + -643\/8. Let y be 1\/10 + (-4)\/(-10). Which is the nearest to y? (a) s (b) -2 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + p + 2*p + 480, -4*k + 3*p + 636 = 0. Let z be (-3)\/6*(0 - k). Suppose 3*w - z = w - 4*a, -4*w = a - 184. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-5))\/(24\/(-195)*-26)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d + 0 + 0 - 3*d + 34 + 18.\nAnswer: 6*d + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -473*v + 476*v - 4*j, -3*v + 24*j - 396 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d + 23. Let f(h) = 9*h - 25. Give 7*f(u) + 6*k(u).\nAnswer: 3*u - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*l + 2 = 3*o - 64*l, l + 4 = 4*o. Sort o, 5, 1, 4 in descending order.\nAnswer: 5, 4, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 13*m**2 - 16*m - 16. Let b(l) = 12*l**2 - 14*l - 14. Let r(d) = -8*b(d) + 7*q(d). Let s(z) = z - 34. Give s(r(j)).\nAnswer: -5*j**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3, 2 in descending order.\nAnswer: 5, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 4 + (-3 + 2 + 3)*(1 - 2 - 1) + 0 + 1 - 2)*((0*v + 5*v - 2*v)*(1 + 1 - 1) - 2*v - v + v) in the form g*v + c and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 945551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from fbbebbeef.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*r - 4. Suppose -3*k + 47 = 2*w - 32, 165 = r*w - k. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5778\/227675 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**3 + 4*u**2 + 4*u - 7. Let f(n) = 5*n**3 - 5*n**2 - 5*n + 7. Let p(q) = 3*f(q) + 4*t(q). Let b be p(0). List the prime factors of -4*3\/14*b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 92*y - 6 - 56*y + y**3 + 5*y**2 - 39*y. Let i = -263 - -258. Determine v(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*k - 11, -20 - 2 = -2*x + 4*k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4710 and 120?\nAnswer: 18840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -9*(-338980)\/153 + 1*(7 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/(-25))\/1)\/((-12)\/16*(-3016)\/(-195))?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 18. Let s(d) = -5*d**2 - 15*d - 7. Let x be s(-2). Which is the nearest to m? (a) x (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.903 - 0.097. Are -2 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 (base 16) in base 10?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4282335535 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 11*p - 1. Let o be d(-11). Let t be o + (2 - (-4 - -2)). Solve t*j - 3 = -2*a + a, -2*j - 5*a = -15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1632 = -2*v - 2*z, 0 = -z + 4*z - 12. Let c = v + 1197. What are the prime factors of c?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 7 (b) -2\/3 (c) 1\/395 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-386)\/(-772)*11*(-6)\/(-3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1643\/217 + 6\/14. Let t be b\/(256\/(-52)) - -8. Solve 27\/2*j**2 + 3\/4 - t*j = 0.\nAnswer: 2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 279.9 from 0.13546583.\nAnswer: -279.76453417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 4927405\nAnswer: 1\/4927405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1022237 - -1?\nAnswer: 1022240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33371, 66736, 100101?\nAnswer: 133466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -10, 4, 3, 1301, -3 in decreasing order.\nAnswer: 1301, 4, 3, -3, -10, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 5\/3*r**3 + 5*r**2 + 245999\/60*r**5 + 0 + 0*r - 3\/8*r**4. Let d be l(-10). Round d to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406*q - 404*q - 135246 = -4*p, -5*q + 2*p = -338091. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - t = 77, -4*m - t - t = -174. Let d = -35 + m. Calculate the remainder when 10 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1567643 - -3?\nAnswer: -1567640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3538*h - 10597. Determine v(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 5643844320?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 958039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = f - 146, u - 68 = -2*f + 188. Let s be 5*13\/(f\/12). Calculate the highest common factor of s and 264.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.63038489 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4\/2 - 13*q - 5. What is the derivative of v(i) wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -35*j + 12. Let t be d(3). Let x = t - -93. Suppose 4*i - 4*b - 4 = x, 4*b - b - 29 = -5*i. Solve -4*h - 4 = i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -528*h**3 - 311*h**3 - 252*h**3 + (3 - 3 - h**3)*(0 - 1 - 1 - 4 - 1 + 4 + 3 - 2 + 1 + (3 + 2 - 6)*(3 - 1 - 1) - 2 - 1 + 2).\nAnswer: -1088*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0 - 2 = 2*l, -3*l - 3*q - 9 = 0. Suppose i - 4 = -f + 2*f, 5*f + 12 = i. Let t be ((-16)\/f)\/((-12)\/6). Put -5, l, t in descending order.\nAnswer: l, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 3*j + 2*j)*(2*j**3 + j**3 - 2*j**3) - 2*j**4 - 5*j**3 + 5*j**3.\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jovooooooojoojo. What is prob of sequence ojj?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111791*j + 15382 = -111402*j - 6402 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - 41 - (-2 - (0 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**3 + 6*p**2 + 9*p + 35. Does 21 divide w(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -57\/40952864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 259375 = -q, 3*c - 39812 = 4*q + 154705. List the prime factors of c.\nAnswer: 61, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*n + 95, -9*y + 8*y - 95 = 5*n. Let v = y + 100. Solve 0*u = v*u - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 - 2*f**3 + 2*f**3 + f - f**3 - f + (-2 + 3 + 0)*(-2*f**3 + 2*f**3 + 2*f**3) + f**3 - 3 + 3 + 255*f**3 + 102*f**3 + 260*f**3.\nAnswer: 616*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 6584.\nAnswer: -1316.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -66078.\nAnswer: -330390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(20\/(-15))*-1. Let h be -4 - (-7 + r - -1). Let s = 0.3 + 2.7. What is the third smallest value in s, h, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 8 + 10)*((6 - 2 - 3)*(3 - 3 - 4) + 4 + 1 + 0)*(-6 - 1 + 4)*(d + 3 - 3) as g*d + s and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a + 2*a + a.\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(1*sqrt(80)) + 5 + (-3*sqrt(119))\/sqrt(7))*5.\nAnswer: -55*sqrt(17)\/4 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(7\/(-5)*(-15)\/3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 2*x**6 - 17*x**5\/5 + 1108*x**3\/3 - 190. Find the third derivative of u(t) wrt t.\nAnswer: 720*t**2 - 408*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 14*d**2 + 2*d + 31. Let u be a(-14). Solve u*z - 4*w = 3, 5*z - 7 = 4*w - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19066 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -46*c - 253. Calculate b(-10).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z - 5. Let y(t) = -20*t + 12. Suppose 20*p - 51 = 189. Suppose -22*w + p*w = -50. Determine w*y(n) + 12*d(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/30)\/((-6)\/8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -286. Suppose 2*k - 73 + 13 = 0. Calculate the remainder when r is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -739, -2916, -6543, -11620?\nAnswer: -18147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 10*y - 54. Let v be a(5). Let b be 6*((-16)\/(-7) + v\/14). Solve b = -o + 2*f + 2, -20 = -5*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -325202.8648 to the nearest 100.\nAnswer: -325200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 15*i**2 + 48*i + 64.\nAnswer: (i - 8)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - v - 1. Let j be 2\/4*4*366\/(-244). Let b(a) = -5*a**3 + 3*a**2 + 3*a + 3. Suppose -s + 3 = 4. Determine j*c(i) + s*b(i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.8 in -3, 30.49, 2\/3, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 15 = -50. Calculate the greatest common divisor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288516 is divided by 780?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1332 - -1020320202?\nAnswer: 1020312210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.3 + 25.23. Let p = 1.929879 - h. Round p to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 + 449\/4. Let -7\/4*o**2 + 1\/2 + y*o = 0. Calculate o.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11827719851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/2*h**3 - 1\/2*h**4 - 3*h**2 + 0*h + 0.\nAnswer: -h**2*(h - 6)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1735*n + 888?\nAnswer: 1735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y + 9. Let i be b(16). Let o = i - -98. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + i + 5. Let p be z(0). Let o(u) = -u**2 - 6*u - 1. Let x be o(-5). Let j be p - x - (-1 - -1). What is the closest to 0 in j, -1\/7, 1\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: In base 7, what is 624 - 61012?\nAnswer: -60055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**2. Let a(t) be the second derivative of 0*t**3 + 0*t**2 + 0 - 1\/12*t**4 - 2*t. Determine a(n(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 279687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqllqlqasay. What is prob of sequence ass?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5\/256, 2\/7, 4, 5\/2 in ascending order.\nAnswer: -7, 5\/256, 2\/7, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w + w)*(-1712*w + 302*w + 412*w).\nAnswer: -1996*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 3. Let w be o(0). Solve -4*h - 2*z = 5 + 13, -2*h - w = -5*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-75)*-15*2\/(-51)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196020?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68263 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -91*t**2 + 76*t. Calculate g(2).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s**2 - s**2 - 4*s**2 - 13*s + 19*s**2 to the form u*s + b + a*s**2 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 84*-0.195\nAnswer: -16.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/23793 and -107\/3502?\nAnswer: 808962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296213 is divided by 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - f + 15 = 0, 2*n + 8*f - 10*f = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-19)\/(c\/((c\/c**(-12\/5))\/c)*c) assuming c is positive.\nAnswer: c**(-93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5595147589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 424233441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 61 = -i, 6*y = -3*i + 2*y + 118. Let u = 76 - i. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 + -82. Suppose -8 = -4*j - 0. Suppose 0 = -4*t + j*t + 4. Solve t*y = -0*y - i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/103552 and -51\/4.\nAnswer: 103552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 3. Let n be g(3). Let h(t) be the second derivative of n*t**3 + 0*t**2 + 2*t + 0 - 1\/30*t**5 - 1\/18*t**4. Solve h(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19545170*i**3 + 5788703 wrt i?\nAnswer: -58635510*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from vvpvpppvvpvv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25282661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 28\/7*(-358)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0, 3\/2, 2\/15, -15?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**4\/12 - q**3\/3 - 11*q**2. What is the derivative of c(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**5\/20 + 5*w**4\/2 + 2*w**3\/3 + 2*w**2 - 3063*w + 2. Let u(h) = -10*h**2 - h - 1. Calculate 2*c(a) + 7*u(a).\nAnswer: 2*a**3 - 10*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4401, -17596, -39589, -70380?\nAnswer: -109969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7673 - 7671. What is the biggest value in -4, -0.4, u, 5, -0.064?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-41)\/41*34\/(-2). Let z(f) = 9*f - 6. Let a(c) = -26*c + 17. Determine d*z(j) + 6*a(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1328 times -5?\nAnswer: 6640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**2\/2 + 4*l + 5. Let v = 3 + 0. Give u(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-78)\/(-12) + -6)*(5 + -1 - 4). Solve -226*l = -225*l - 4*g + 15, o = -4*l + g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/53?\nAnswer: 14\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17\/21 - 97\/91. Find the common denominator of 4\/39 and u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 5. Let x(c) = 9*c - 5. Let k(p) = -5*p + 3. Let h(r) = o*x(r) + 11*k(r). What is the units digit of h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1352\/(-4290) + (-8)\/(-60). What is the nearest to 0.7 in -0.2, 23, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13090 (base 14) to base 16\nAnswer: -b6b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 4*y + 7 + 7, 20 = 4*a + 4*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -15*d**2. Suppose -10*b + 15*b = 1085. Let k(o) = -2*o + b - 217. What is k(r(n))?\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -29, -5\/2, 17, -5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16297350 and 2607576.\nAnswer: 65189400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 72*t**3 - 2*t**2 + 3*t + 19. Let y(r) = r**3 - r**2 + r + 1. Let o(h) = -l(h) + 3*y(h). Find the third derivative of o(m) wrt m.\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546*q - 2*q**3 - 4*q**3 + 3 + 1 - 171*q + 3*q**3.\nAnswer: -3*q**3 - 717*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 127*j - 8. Suppose -b + 7 = 19. Let x be u(b). Let z = -811 - x. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -34. Let y(a) = 9 + 13 + m*a - 14. Let r be y(-10). What is r rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37907251 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w - y = 32*w - 95, 4*w = 25*y - 28*y - 215 for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -19. What are the prime factors of (24\/9)\/(t\/(-18))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**5\/60 - 2*p**2. Let c(z) = 3*z + 2*z - 4*z + 3*z. Calculate s(c(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 30 + 30)*(0 + 3 - 2)*(0 - 3 + 4) + 3*o + 0*o - 2*o + (-o + 0 + 0)*(-3 + 2 + 3) + 5*o - 5*o + o - 1 + 1 - o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113483843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.8 - 31. Let s = -6.2 - -5. Let o = u - s. Sort 1, -2\/7, o in descending order.\nAnswer: 1, -2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 658 and 1424948?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*t + 27*t = 32*t - 4308 + 1470 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u. Let j(s) = -s. Suppose 3*r - 22 = 2*q, 5*r - r + q = 44. Suppose -11 + r = -v. Let o(x) = 42*x. Let c(y) = v*o(y) + 36*j(y). What is l(c(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000176 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 0*b - 8 = -2*j, -2*j = -3*b - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - -0.32. Let m = -549.4 + 549. Let p = -18 + 25. What is the closest to 0 in u, p, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b + 44357 - 44297 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (2 + (14 - 34) + 28).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 = 0, -31*w + 35*w + 1019080 = 3*y. Round y to the nearest 1000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/((-10)\/11)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + -4 + 17 + -3*1. Let s(q) = q**2 - 2*q - 27. Let m be s(a). Let l = 48 - m. What is the remainder when l is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 76\/(-28))*-1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**2*u**2*w + 5*f**2*w**3 + 4*u**2*w**2 - u**2*w - u*w**3 + 2*u wrt w?\nAnswer: 30*f**2*w + 8*u**2 - 6*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 10:37 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.35 + -0.301. Let n = d - -3.951. Sort n, 3, -4 in decreasing order.\nAnswer: n, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 42067 (c) -33.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28 + 65879?\nAnswer: 65851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15631996 - 7687?\nAnswer: 15624309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(3\/5)\/j*j)\/j))\/(j\/j**(-2\/9)*j))**(-18) assuming j is positive.\nAnswer: j**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6 - 5 + 4*f**2 - 5*f + 9 - 3*f**2. Let p be m(9). Suppose 398 = 4*w - 2*v - p, -2*w - 3*v = -206. What is the remainder when w is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - r**2 + 14*r - r**3 + 2*r**3.\nAnswer: r**3 + 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-two thirds of a hour?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-37)\/259 + -29*(-3684658)\/(-14). Let o = l - -1292506. Round o to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvlsyyvyysy. Give prob of picking 1 l and 3 y.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zillziziiiizlzlzi. Give prob of picking 2 z.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -1193045740636.\nAnswer: -1193045740635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -7*k + 10. Let b be k*(0 + 1) - -2. Let q = -4 + b. Solve l = -3*n + 14, q*n = n - l - 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5810545 is divided by 363157?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -11000001011010111?\nAnswer: 11000001011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.86451 and 0.059.\nAnswer: -0.05100609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 46780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 262*a**2 - 1290*a - 24. Let z be q(-5). What is the closest to -2\/73 in -10, z, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41772996 divided by 515716\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8788.015 millennia to years.\nAnswer: 8788015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/78*(-6)\/(-15))\/((-40)\/336)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451 a factor of 945848597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -654806.2 to the nearest one thousand.\nAnswer: -655000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 57 - -109 - 4?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1003 + -762. Which is greater: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 630744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352982110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v. Let o be h(-2). Let l(f) = f**2 + 5*f - 10. What is the remainder when 25 is divided by l(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, 1, -0.5, 8\/5, -7\/9, -63?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -838 in -1\/17, -0.5, 0.06, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1110)\/(-45) + 4\/(-6). What is the greatest common divisor of 48 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-8)*(-4)\/6. Suppose 2*q - 140 = 5*v, v = -q - 2*v + 59. Let f be ((-20)\/q)\/((-4)\/2). Which is the closest to 0.1? (a) f (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2)*l)**(-43)\/(l**2*l*l**(-4)))**(-49))**(-35) assuming l is positive.\nAnswer: l**1715","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 80 = -b, 3*w - 4*w - 212 = 3*b. What are the prime factors of (-24)\/15*b\/4?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -2)*(-15)\/6. Let i be 4\/(-40)*k*10. Suppose i*y = 8 + 27. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**4\/4 + 2*y**3\/3 - 2*y**2 + 2*y + 11. Suppose -2*z + z - 4 = 0. Give t(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 5. Let l(b) = -2*b - 11. Let q be l(-8). Determine g(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + 0.7. Let k = -0.7 + 0.6. Which is the second smallest value? (a) 0.4 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 46*q**2 - 445*q - 47. Let f be k(14). Let p(r) be the first derivative of -r**3\/3 - 5*r**2\/2 + 5*r + 1. Determine p(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.2. Let w = 2014 - 2005. Let a be (2 - (-12)\/(-5))\/(9\/27). What is the third smallest value in w, d, -0.5, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z - 7. Let p be s(-5). Suppose -12 = -p*a + 3*i, -4*a - 5*i = -2*i + 12. Suppose a*r - r + 747 = 5*t, t = 4*r + 141. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**13\/l**(-7\/2)*(l**(2\/9)\/l)**(-40) assuming l is positive.\nAnswer: l**(857\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -26. Suppose -5*z + 170 = 5*w, 4*z + x*w - 160 = -z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) - sqrt(6)\/(-3*sqrt(2))).\nAnswer: 4*sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 12*g - 15. Let z be q(2). Suppose z*s = 11*s - 16. What is the greatest common factor of s and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, d: 1, u: 2, g: 1, v: 1, w: 1}. What is prob of sequence ged?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 + -15?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 1. Suppose 42 = 6*g - 0*g. Let i = g - 4. Let t(o) = -2*o - 1. What is i*r(m) - 4*t(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222338 and 11666.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = -2*q - 3, 5*o + 5*q - 90 = 0. Suppose 34*y - 35*y = -o. Calculate the remainder when 51 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 19. Let q = -19 - -29. Let f = i + q. Which is the third biggest value? (a) f (b) -2\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -0.5, 2\/7, -563?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258949.701 plus -19.1?\nAnswer: 1258930.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 143, 94, 41, -16, -77?\n\"Answer: -2*c**2 - 43*c + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15*(-9)\/108*(-1 + -3). What is the third derivative of -32*h**2 - 104*h**4 + a*h**2 - 8*h**5 + 105*h**4 wrt h?\nAnswer: -480*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/95, -2, 2, 8\/29, 2\/19 in descending order.\nAnswer: 2, 8\/29, 2\/19, -2\/95, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 15*w + 73 = 0. Let z = 140 - w. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14119 + 14119 + 12*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 5.6. Let o = 30.8 - 31. Which is the biggest value? (a) t (b) o (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/72 and -121\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-3 + 3 + -1)**2.\nAnswer: -12*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174303 is divided by 19367.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/3))**(-2\/3)\/(g**(1\/14)\/g*g**8))**(-21) assuming g is positive.\nAnswer: g**(1003\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19674768.\nAnswer: 2, 3, 409891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245976 and 888?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21431550 to the nearest integer?\nAnswer: 4629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 5670*i + 1607445.\nAnswer: 5*(i - 567)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 7*j - 3. Let m(o) = 5*o**2 - 6*o + 72. Let a(x) = m(x) + 4*w(x). What is a(32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6220 (base 11) in base 2?\nAnswer: -10000000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 30 - 159 - 7*r - 129*r + 93*r. Calculate m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/9 + (-16)\/(1440\/890). Let m(j) = -j**3 - 8*j**2 + 4*j + 155. Let n be m(u). Calculate the highest common divisor of 35 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132132 by 33033.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 121326*o. Let a(q) = q. Calculate f(a(h)).\nAnswer: 121326*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 3. Let p be (u - (-2)\/4)*2. What is the lowest common multiple of 4 and (23 + 1)\/(p\/(-2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 155, 194, 249, 320?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3\/12*0. Let r be (13\/39)\/(d\/(-48)). Suppose r - 47 = -o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from zzytoooytvytvoytozoz.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 p, and 1 e when three letters picked without replacement from {p: 2, e: 2, m: 6, h: 2, v: 3, l: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b - 8, i + 5*b - 24 = 0. Suppose t - i = -3*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1, -1\/3, 745, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 + 305. Suppose -5*r + 4*i + 919 = 0, -i + 3*i = -r + t. Suppose -4*c + r - 55 = 0. What is the highest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/2 - (979 + -976).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 236649*a**2*x - a*i*x**2 - a*i*x + 3*i*x**2 + 3*i*x + 105*x**2 + 4*x wrt a.\nAnswer: 473298*a*x - i*x**2 - i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + 38 + -38.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 0*z + 2*z + z**2 + 3*z**4 + 1 to the form m*z + a + k*z**4 + y*z**2 + r*z**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 17*x - 60. Let s be h(12). What is the fourth biggest value in 1\/20, s, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 13 = 4*t. Is t at least as big as -8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k**3 - k**3 + 2*k)*(-18 + 5 - 11).\nAnswer: 48*k**3 - 48*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987220311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 16 = -5*z, -9 = -4*z + 2*z + 3*u. Solve r = z*r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69495*s**2 + 2*s**4 - 69495*s**2 - 79*s**3)*(-3 - 2 - 5) to l*s**4 + c + n*s**3 + w*s + v*s**2 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m + 158240 = 36*m. Suppose 3*w - 5921 = -5*d, -5*w = 6*d - 2*d - m. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21e8 + -15?\nAnswer: 21d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 3496813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-627)*(5 - -1)*1\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 288*g + 74. Let m(h) = 58*h + 14. Give 16*m(a) - 3*y(a).\nAnswer: 64*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtqt when four letters picked without replacement from tqqqqt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/96 + (-147)\/(-36). Solve 0 = x*v - 4, 3*v = -4*g - 2 - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -1\/10*z**4 - 8\/25*z**5 + 7\/75*z**6 + 16\/15*z**3 + 22*z - 4\/5*z**2 + 0. Solve a(k) = 0 for k.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58354011?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -32*n**2 - 4 + 2 + n**3 + 21*n**2 + 2*n + 15*n**2. Suppose 0 = 3*j + 3*p - 1 - 5, 2*j = -4*p + 14. What is g(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 41, 48, 55, 62, 69?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-2 - -58))\/(-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 43 and -6343.\nAnswer: -6300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -13.3. Let x = 0.6 + j. Let n = -2.1 - -2. Which is the third biggest value? (a) 4 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 33*m - 202. Give v(12).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-12)\/(-4 - -7). Find o such that -33*o**3 - w*o**2 - 9*o**2 + 37*o**3 + 12*o = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, j: 7}. What is prob of picking 2 j and 2 l?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -749 and 0.09?\nAnswer: -67.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16043.\nAnswer: 61, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -32296943.1 - -0.0452\nAnswer: -32296943.0548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -474692969\/12369 - -390236\/589. Let n = q + 216001\/6. Let o = n + 1712. Calculate the common denominator of o and 83\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28892 by -2.\nAnswer: 14446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/1116 + (-312)\/(-31)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*u**5 + 887*u**2 - 25053*u - 2 wrt u.\nAnswer: -240*u**3 + 1774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 + 9*h**2 + 106*h + 435. Determine u(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-4)\/(-20))\/(1\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -13*r**4 + 8*r**3\/3 - 1527*r + 2572. Differentiate a(f) with respect to f.\nAnswer: -156*f**2 + 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0)*(1 - 2). Suppose r*x + 2*x = 0. Suppose -2*c = x, -4*c + 48 + 99 = 3*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 0*c**2 + 0 - 1\/12*c**4 - 1\/30*c**6 + 1\/4*c**3 - 15*c - 7\/40*c**5. Determine o, given that d(o) = 0.\nAnswer: -3, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20397 + 367285\/18. Let m = 10 + -10. Find the common denominator of j and (-138)\/132 + m + 3.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -421 + 409. Which is greater: -15 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5\/9 - 4*m**4\/9 - 2*m**3\/3.\nAnswer: 2*m**3*(m - 3)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -16, -3, 38, 1, 2 in descending order.\nAnswer: 38, 2, 1, -3, -16, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 20, -15?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 13046520.7304.\nAnswer: -13046521.7304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s**3 + s**2 - 2*s - 1. Let i(p) = 6*p**3 - p. Determine -3*i(o) + 2*v(o).\nAnswer: -2*o**3 + 2*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r + 5 = 0. Let m be (-4 + (-72)\/(-15))\/(r\/5). Solve -m*z - 1 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:54 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -331374 take away -9?\nAnswer: -331365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 47\/7, 1\/3, 258?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/11 - 47838*q**2\/11 + 47840*q\/11.\nAnswer: -2*q*(q - 1)*(q + 23920)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**29)**(-14) assuming u is positive.\nAnswer: u**(-406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d + 17*d + 22 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -0.3, -0.4, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240123003 - -242?\nAnswer: 240123300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(4 - 2)*34. Let k = a - 34. Let d(i) = 2475*i + 9882. Let u be d(-4). Which is bigger: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - 16*g - 9*g)*(-7 + 17 + 1)*(-g**4 + 0 + 0).\nAnswer: 198*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -157031424.7 rounded to the nearest ten thousand?\nAnswer: -157030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 6*s + 38, -9*s + 14*s + 46 = 3*c. What is the nearest to c in 6\/7, -7, 0.03?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -2, -1\/6, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 187353*k**2 + 6*k = 0.\nAnswer: -2\/62451, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2330186 + -53610013\/23. Let i = z + 684. Let x = -1 + 0. Is x less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 57216*u**2 - 204718800*u + 817960000.\nAnswer: -4*(u - 7150)**2*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:44 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -2*f + 9*s, 12*f - 2*s = 14*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 54 = -4*n. Suppose -5*q + n = 2. Suppose 3*o - 35 = 2*o. Calculate the greatest common divisor of q and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24324800 to the nearest 100000.\nAnswer: 24300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysorrsb. What is prob of picking 1 o, 1 y, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*m**2 + 1\/3*m**5 - 1\/3*m**4 + 0 - 1\/3*m**3 + 0*m.\nAnswer: m**2*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**6\/120 - b**5\/20 - b**4\/6 + b**3\/2 - 9*b**2\/2 - 8*b. Let t(x) be the first derivative of c(x). Is 3 a factor of t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -0 + 4, -5*t + 9 = -3*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 299 = 4*s - m, -382 = -5*s + m. Let j = s + -76. Let p(u) = 13*u + 1. Calculate p(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9679\/5, 2, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 53*l**3 + 14*l**2 - l + 8. Let x(n) = -18*n**3 - 5*n**2 - 3. What is 11*x(m) + 4*y(m)?\nAnswer: 14*m**3 + m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/28 and -23 + 23 - (-102)\/196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o**2 + 4*o - 4. Let t be c(0). Put -2, t, 110 in ascending order.\nAnswer: t, -2, 110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1534, 3082, 4630, 6178, 7726?\nAnswer: 9274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194034062 to the power of 1\/2, to the nearest integer?\nAnswer: 13930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.12 (b) -935 (c) -2\/33 (d) -2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1 - 1 - (21 + -12) - 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 13 + -4 + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13102 + -220?\nAnswer: 12332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3 - 5966*j**2 + 419038*j + 425006 = 0. Calculate j.\nAnswer: -1, 73, 2911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -68*u - 180. Let v be q(-6). Let j = 310 - v. Calculate the remainder when j is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.714 to the nearest integer.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = 7*k - 141. Suppose 346 = -k*p - 4*z, -3*p + 4*p + 4*z + 177 = 0. Do p and -170 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 63, -1, -183, -525, -1069, -1857?\nAnswer: -2931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -17. Let w(s) = -s**2 + 2*s + 6. Calculate the smallest common multiple of w(0) and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -859\/1032, 4, 1?\nAnswer: -859\/1032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/4)\/(2\/(-4)). Suppose -1 + 3 = 2*j. Let z be 3*(1 + 2\/j). Calculate the highest common factor of z and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1350 - -1357) + -1 + 25.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10) + sqrt(250) + (5*sqrt(250) - sqrt(250)) + sqrt(10)).\nAnswer: sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440 divided by 760?\nAnswer: 36\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j + 4, 5*s + 4*j - 26 = 0. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20562918116 and 0.9.\nAnswer: 20562918116.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/3 + 1\/12. Let m = -0.1 - -7.1. Let i = m + -6.7. Which is the closest to 0.1? (a) h (b) -2\/19 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*(3 + (sqrt(2736)*-1 - sqrt(2736)))*1*-5)**2.\nAnswer: -12000*sqrt(19) + 1095025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 - v**3 + 8 + 0*v**3 + 8*v**2 + 8*v. Does 19 divide s(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 7*x - 15*x + 7*x - 1 in the form a*x + u and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182 + -161. Let i be (q\/112)\/((-1)\/36). Is i bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16403 + 3?\nAnswer: 16406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 94 = -2*p, -121 = 108479*v - 108477*v + 3*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -75 + 25. Calculate the smallest common multiple of 14 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-12)\/(-2))\/6)\/((-5)\/(-385)). Suppose -2*d + 5*r = -149, d + 0*r = 5*r + x. Calculate the greatest common factor of d and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1368b (base 12) to base 15\nAnswer: -7e7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 12*w - 12. Suppose -121 = -5*o - 4*u, 0 = -2*u - 3 + 1. Calculate the remainder when g(-11) is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12\/7979 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9358 - -2393?\nAnswer: -6b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -1173a2?\nAnswer: 1173a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13228 + 13228 - 27*w.\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -336 + 720. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-10 - (-10 + 16))) + -19\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 37 times 0.1\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80447, -321769, -723971, -1287053, -2011015?\nAnswer: -2895857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/5236 and -25\/112469.\nAnswer: 84126812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 0.1584, -10?\nAnswer: 0.1584","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 20.24698, -1\/7 in increasing order.\nAnswer: -2, -1\/7, 0, 20.24698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*(-19 - -15). Let y be -1 + 1 + (-19)\/(-38). Factor 0*i**3 - i**4 + 0 + 1\/2*i + i**z - y*i**5.\nAnswer: -i*(i - 1)*(i + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66 + 556?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0947 + -0.1053. Which is the second biggest value? (a) 1 (b) w (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6675451 is divided by 1668836.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116 by 5.\nAnswer: -116\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (-5 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46319260 rounded to the nearest 100000?\nAnswer: 46300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1054413 - -31?\nAnswer: -1054342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 4*y - 2. Let s be f(5). Suppose -s*z = -z - 238. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(200\/(-1600))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47920\/(-10782))\/(10\/(-36)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.5 + 8. Let j = 6 + f. Which is the biggest value? (a) 3 (b) j (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158211 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 211703 times -1300?\nAnswer: -275213900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 50. Let l(i) = -8*i - 3. Is l(h) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 186 - 186.0036. Let q = j + -0.1964. What is the nearest to -1 in q, 2\/7, -0.7, 2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/(-8)*132\/45 + (-5)\/3?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -697 - 284 - 3163*f**2 + 3156*f**2 as q*f**2 + k*f + j and give j.\nAnswer: -981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-18))\/((756\/36)\/(-42)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -3. Let a = t + -8. Let f = a + 1. What is the nearest to 1 in -1, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -209749*s**2 + 185*s + 850 wrt s.\nAnswer: -419498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8665 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from bppggpgppplpglgbgp.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12988, 51875, 116690, 207433, 324104, 466703?\nAnswer: 635230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -947\nAnswer: -2841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 189*m + 40853. Give l(-210).\nAnswer: 1163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -25985*s - 19. Let i(x) = -6*x. Give i(v(f)).\nAnswer: 155910*f + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3682245541\/9816828 - -5\/467468. Let t = -375 - v. Which is the third biggest value? (a) t (b) -4\/5 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 - 31. Suppose 2*z - g = -z. Suppose -h - h = -z. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 217*s - 21045. Let c be m(97). Let i(n) be the third derivative of 0 - 4\/15*n**5 + 1\/2*n**c + 16*n**2 + 2\/3*n**3 + 0*n. What is f in i(f) = 0?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 1\/30)*(-51)\/5 and 49\/22.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 14*y**2 - 52*y - 15. Let p be s(-17). Find the second derivative of 3*d**3 - 12*d**p - 2 - 2 + 29*d + 2 - 2 + 2 wrt d.\nAnswer: 18*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/5*(-312)\/234*37\/(-4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 2:07 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 7454882.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1153791?\nAnswer: 3, 151, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**2 - 30. Let a(b) = 17*b**2 + 92. What is -4*a(i) - 11*h(i)?\nAnswer: -2*i**2 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 15, 19, 23, 27, 31?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -9.2. Let w = g - -1.2. What is w rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*t - 14 = 64*t. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -10. Let w = -5.55 - k. What is w rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = 11*v - 16*v. Let l = -58 - v. Let w be ((-524)\/(-540) + -1)*-10. Is l < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/20)\/(297\/(-165)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12057000 to the nearest 100000.\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -2. Let b(m) = m**2 + m + 1. Let v(j) = -7*j**2 - 5*j - 4. Let w(q) = h*b(q) + v(q). What is the first derivative of w(d) wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (4 - (6 + -5)) - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48644401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l + 27. Let j be z(-7). Let y be ((-63)\/(-112))\/(6\/j). Let p = -0.04 + 3.04. What is the second biggest value in y, -5, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375713672 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*14 - (-3 + 0). Suppose -u + 6*u = w. Let v = 27 - u. What is the highest common factor of v and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1494961967.\nAnswer: 41, 36462487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 254, 4, 3, -9, 1, -68, 2 in increasing order.\nAnswer: -68, -9, 1, 2, 3, 4, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 + -0.1\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -157*c - 63*c + 34*c + (3 - 3 - 2)*(-6*c + c + 3*c).\nAnswer: -182*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117.72 - -114.72. Which is the fifth biggest value? (a) -28.4 (b) 0.3 (c) 5 (d) -5 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1698.3 + 1694.3. Is 350.5 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 42*i**2 - 393*i - 19. What is d(8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38119.13 litres to millilitres.\nAnswer: 38119130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i - 108. What is the remainder when r(-17) is divided by (-1)\/(-2) - 78\/(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a day in seconds?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 496081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 107837 or -113?\nAnswer: 107837","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33648513.\nAnswer: 3, 11216171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 8, 0.3, -36, -18, 9, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - t)*(2*t**2 - 2*t**2 + t**2)*(t - t + t) + (-2*t**2 - 1 + 1)*(-3 + t**2 + 3) - 3*t**4 + 3*t**4 - 2*t**4.\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**5\/j)\/j**2)\/(j*j**8*j*j\/(j*j**(3\/11)\/j)) assuming j is positive.\nAnswer: j**(-85\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 - -1.9. What is u rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -620 (base 8) in base 12?\nAnswer: -294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 = -3*y - 4*w, -4*w + 626 = -5*y - 5*w. Let b = -25 - y. Is b a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/35 - (-313954)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*(w\/w**2)\/w)\/(w**(-1))**(-3\/4) assuming w is positive.\nAnswer: w**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 3*c**2 + c - 1. Let b be u(-3). Let n = -7 - b. Sort -4, n, 5.\nAnswer: -4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -109, -101, -79, -37, 31, 131, 269, 451?\n\"Answer: t**3 + t**2 - 2*t - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3790 + 3790. Let m = 0.07 - -3.93. Which is the third smallest value? (a) 7 (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-9)*(1045\/(-44))\/(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-3 + 0) - (12 + -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16930 - 15658. What is the remainder when j is divided by 116?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:17 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -869431285*a**2 - 633514681*a?\nAnswer: -1738862570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2635551*t**2 + 5021916*t.\nAnswer: -5271102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33.2 + 9.3. Let f = a - 42.6. What is the third biggest value in -2\/7, -2\/15, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 670 = -2056. Let h = 3836 + b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000021799966 rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 3*i**2 - 3*i - 2. Let v(r) = 4*r**3 - 13*r**2 + 13*r + 9. Suppose 49 = -3*m - 2*u + 131, -4*m - 4*u = -112. Calculate m*f(a) + 6*v(a).\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 5*r + 6. Let h be (9\/6)\/(6\/8). Suppose c = -a - 1 + 4, -2*a = h. Calculate the least common multiple of c and x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 12. Let i be (-19)\/p - (-4)\/14. Is 157 + i + (-3)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t - 67. Let n(x) = 4. Calculate m(v) - 3*n(v).\nAnswer: -2*v - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 744050479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.303 + -0.033.\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**4 - 2*y**3\/3 + y**2 - y - 4. Give m(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*i**2 + 27*i**2 + 30*i**2 + 13*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - g - 3 = -7, -16 = 4*m - 4*g. Suppose 4*b - 7 - 33 = m. Calculate the least common multiple of b and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128.78 + 220.77. Let q = v + -92. Let z = 7 - 5. Which is the closest to -1? (a) -0.3 (b) z (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*x - 1 + 1 + 13*x + 2*x**2.\nAnswer: 2*x**2 + 167*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -270 - -580. Suppose 10*g - 370 = t. Let u = g + -63. What is the smallest value in -0.2, u, 0, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/3)*z\/(z*z**4)*z)\/(z**(-2\/15)*z*z*z*z*z)**49 assuming z is positive.\nAnswer: z**(-3647\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63 in -25, -1\/9, -5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 13. Let x be ((-6)\/(-5))\/((-4)\/10). Let a(y) = -y - 4. Let i(s) = -9 + 2 - 6*s - 12. Let u(m) = -11*a(m) + 2*i(m). Calculate x*g(v) - 7*u(v).\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-592)\/72*-9 + 2\/2. Let i = j - 73. Solve s - 5 = -p, p = 3*p - s + i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 24 = 4*m, 5*f + 7 + 19 = 3*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) + 2894957\/52. Suppose 8*y + 968 = -c. What is y rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118 - -118.375. Let i = -0.175 + k. What is the smallest value in -2\/7, -0.1, 32, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340, 428, 536, 664?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -22. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + ((sqrt(475) + (sqrt(475) - (sqrt(475) + -3)))*2 - sqrt(475))**2 + sqrt(209)\/(sqrt(33)\/(sqrt(6)\/sqrt(2) + sqrt(3)))).\nAnswer: -3066 - 372*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1683173 is divided by 42079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5695 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 603 and 108?\nAnswer: 7236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + sqrt(104)\/(sqrt(2) + sqrt(32)) + 4 - ((sqrt(52) - 2*sqrt(52)) + -1)*-2) + 0)**2*-1.\nAnswer: -932\/25 + 32*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 2. Let z = -4224 + 4222. Give o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)*-4 + 2 + -3*sqrt(13).\nAnswer: -43*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14*(-105)\/(-55)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 4 - 34\/20. Let s = -376.5 - -376. Sort x, 1\/6, s in ascending order.\nAnswer: s, 1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**2 - 11*w + 6. Let h be (0 - -4)\/4 + 4. Let d(u) = 3*u**2 + 5*u - 3. Let r(a) = h*d(a) + 2*l(a). Give r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**3 - 61*g**2\/2 - 14*g. Let z be y(6). Let j = 61 + z. Calculate the highest common factor of j and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 15252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + (-6564)\/(-108) + -3. Let b = k + -55. Find the first derivative of 13 + 8*z**b + 11 - 12 + 4 wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine thirds of a hour in minutes?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 228410, 456809, 685190, 913547, 1141874?\n\"Answer: -c**3 - 3*c**2 + 228415*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*c**2 - 2*c**2 - 11*c**5 + 6*c**2 wrt c?\nAnswer: -660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/10)\/(6\/4))\/(1680\/9800)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 2:37 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/17, -3\/5, -3\/10, 1582, 0, 4\/9?\nAnswer: 1582","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/268975 and 37\/129108?\nAnswer: 3227700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1\/7, 1, 0 in decreasing order.\nAnswer: 1, 0, -1\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 51 + 42. Calculate the lowest common multiple of 187 and a.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238644*-4\nAnswer: 954576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + 1 + 14 + -3 - 32.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-135)\/70)\/(9\/6*(-3)\/(-9))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17489*r + 153223 = 14598*r for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1755 = 56*y - 11*y. What is the third smallest value in y, 7, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 9. Suppose -4*f + 12 = 4*n, n + 0*f + 6 = -4*f. Let j(p) = p - 8. Give n*x(y) - 7*j(y).\nAnswer: 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3116 (base 10) to base 13.\nAnswer: -1559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-31 + 6*t**4 + 31) - 2*t**4 - 3*t**4 + 4*t**4 + (3*t**3 - 3*t**3 - 3*t**3)*(-2*t - t + t).\nAnswer: 11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50157684?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1011 - 367. Let f be (3\/(-2))\/((-42)\/c). Suppose 4*x - 1 = f. Solve -m - 3*m + 8 = 3*q, 4*q = 3*m - x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**2 + 19*f + 2. Let y be v(-8). What is the greatest common divisor of y and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a + 107. Let x(m) = 3*m**2 + 144*m - 10. Let h be x(0). Determine d(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**3\/3 - x**2\/2 - 7*x + 3. Is h(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 8695984?\nAnswer: 8695988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a = -18. Let j = a + -14. Calculate the lowest common multiple of j and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (237 + -213 + (0 + (2 - 0) - -2)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2084 + m + 2084.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3051 + 30473\/10. Let g = z + 16\/5. Let c = -1.4 + 1. Put g, 0.3, c in increasing order.\nAnswer: g, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625153250 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.1 (c) 5 (d) -2\/7 (e) 25\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, i: 3, y: 1, p: 4, b: 1, e: 4}. Give prob of picking 1 p, 1 f, 1 i, and 1 y.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000038459 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfgccgcgggo. Give prob of picking 2 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -224 + 217. Is (-6)\/7*r + 2453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30728.\nAnswer: 2, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccqtwaawawwwaawqa. What is prob of picking 2 c?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/17 (b) -0.2 (c) -3\/5 (d) 5 (e) 12\/5 (f) 25.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-210))\/((-4)\/20 + 0). Put o, 8, 2\/11, -0.4 in ascending order.\nAnswer: o, -0.4, 2\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -25900764?\nAnswer: -3\/2158397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 713, -1, 6, -269, 0.1 in increasing order.\nAnswer: -269, -1, -2\/17, 0.1, 6, 713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*l + 2580 = 0. What are the prime factors of l?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*a - 19. Let h(f) = f + 5. Calculate h(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, 152, 4\/7, -23?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaakakaaaaaaaaaa. Give prob of sequence akk.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22 + -28 - (3 - 159). Suppose 20*q - 110 = j. Calculate the remainder when 138 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w = -21*w - 36. Let q(a) = -a + 16. Let s(n) = -2*n + 18. Let r(v) = w*q(v) - 5*s(v). What is r(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2774?\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8 + 8 + (-82)\/(-8) and (90\/12)\/(7 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7298608 * -0.4.\nAnswer: -2919443.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 6:38 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 21*t**2 + 39*t - 25. List the prime factors of p(-14).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -654 + 189. Let h = y + 468. What is the closest to -1\/6 in 5, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -348143 or -348182?\nAnswer: -348143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 = 4*m + 37*a - 34*a, 0 = -5*m + 4*a + 656. Calculate the lowest common multiple of m and 48.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/2*(-33668)\/(-9746).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - l - 2. Suppose 9 = 7*a - 4*a. Suppose 0 = 5*z + 25, 2*z = -q + a*z + 7. Give k(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 1986 - 1224 = 357*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 10 = -g. Solve -g*z = -0*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53\/18 + -1171\/144. What is the common denominator of -9\/76 and y?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -402753087*b**2 - 596753282?\nAnswer: -805506174*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 66.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7758922 and 4756?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-4)*1\/(6\/10). Is b < 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, -12, -224, -730, -1650, -3104, -5212, -8094?\nAnswer: -11870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/l**34)\/l))**27\/(l**(-2\/9)\/l)**(-40))**19 assuming l is positive.\nAnswer: l**(153235\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pttftzv. Give prob of sequence vfpt.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwnh when four letters picked without replacement from xhhhfhwwnffxhxwwhwhh.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -40 - 10. Suppose -8 = -3*u + 1. Suppose -2*s = 0, 0 = -b - u*s - s + 27. Calculate the remainder when b is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -34.336. Let l = o + 1.39. What is l rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1 (b) -4 (c) -2\/13 (d) 0.01503 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 - -83. Let m(b) = b**3 + b - 6. Let p be m(s). Solve p*d + 18 = 2*t, 2*d + 8 = 5*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42 or 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408 and 510.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*z**3 + 4*z**2 - 291*z wrt z?\nAnswer: 198*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 380*t**5 - 792*t**5 + 6*t + 393*t**5 + (-53*t**2 + 21*t**2 + 15*t**2)*(0*t**3 - 3 + 1 + 3*t**3).\nAnswer: -70*t**5 + 34*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/14993 and 57\/88.\nAnswer: 119944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, -0.02, 3, 0.05, 26, 0.083, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18338 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8069, -8061, -8049, -8033?\nAnswer: -8013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*y = -123*y - 12 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -2656?\nAnswer: -2656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b7b2 (base 12) to base 16.\nAnswer: -192b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 c when four letters picked without replacement from iiiiciicdiicc?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 973 + -443. What is the highest common divisor of 53 and g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n + 2. Let q be -2*10\/(-3)*96\/(-40). Let d(u) = -36*u + 10. What is q*h(w) + 3*d(w)?\nAnswer: 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305178 divided by 152589.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = -37*y + 39*y. What are the prime factors of y?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/22133941 and 21\/554609?\nAnswer: 243473351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-134)\/(-7) - (779\/798 + 3\/18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**1)**(-49)*(q*q**(-2)*q)**(-6\/7) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -2\/15, 4, 5, 7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 17*n - 11*n + 36*n - 11*n - 46 = 0, -3*f + 37*n = -98 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 - (30 - 2) - 4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -361*x - 188*x + 2196 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p - 176 = 23*p. Solve 0 = p*z - 27 - 53 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2712528 by 3276.\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-5))\/1*10. Suppose 3*m - 4 = -2*r, 5*m = 5*r + 13 - x. Let p be r\/3*(-8)\/20. Which is the biggest value? (a) p (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -648515, -648504, -648497, -648494, -648495, -648500?\n\"Answer: -2*h**2 + 17*h - 648530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -89106, -89109, -89112, -89115, -89118, -89121?\n\"Answer: -3*a - 89103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -43641805922*h**3 + 261851426408*h**2 - 3545258*h + 12 = 0. Calculate h.\nAnswer: 1\/147719, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 762175060 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/2 + 0\/8. Does 10 divide 20 + (-6)\/c - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00032219596 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**4\/4 + 8*c**3\/3 - 3*c**2\/2 + 15*c + 17. List the prime factors of t(-6).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f - 8*f + 19*f + 25*f**2 + 2*f + 0*f - 1 to the form c*f**2 + m + l*f and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -4905?\nAnswer: -1\/981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + -1*sqrt(147) + sqrt(147))*5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-399)\/189 - 2\/(-18). Let t be (-5)\/d + (-798)\/(-2964). Factor 0*w + 24\/13*w**3 + 10\/13*w**5 - t*w**4 + 0 + 16\/13*w**2.\nAnswer: 2*w**2*(w - 2)**2*(5*w + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 6 + 7 + (21 - (2 - 6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 28501.34l?\nAnswer: 28501340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -629915*o**3 - 16791*o**2 + 8*o + 1 wrt o.\nAnswer: -3779490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**2 + k - 1. What is v(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(270))\/(sqrt(6) - (sqrt(6) + sqrt(2304)\/sqrt(6)))*-3 + 2 + -1.\nAnswer: -27*sqrt(5)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2956\nAnswer: -1\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65840 + 23*p - 65840.\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-15))\/((84\/8)\/(-7))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 = -248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 2377104?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 243775 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 7) to base 14.\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*q - 3*q + q)*(0*q - 2*q**2 + 0*q) - 4*q**3 + 0*q**3 + q**3)*(1 + 2 - 1) in the form j*q + d*q**2 + b + r*q**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (0 - 6 - -14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + -1 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*y - 14212 - 10868. Is -371 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310 is divided by 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3 + 84*v**2 + 213*v - 3654 = 0. What is v?\nAnswer: -7, 6, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 13*r = 0. Suppose -3*v + 8 + 4 = 5*y, -5*y = r. What is the highest common divisor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(128) + 5 + 1*(sqrt(128) - sqrt(128)*-2) + (-5 + sqrt(2) + sqrt(32)*-6 + sqrt(2) + -4)*3)**2.\nAnswer: 1496*sqrt(2) + 2796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.57*-1.\nAnswer: 14.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 290. Suppose -u = -3*q - 5*k, 103 = q + k + 2*k. Let g = -88 + q. Let s(p) = p - 8. What is s(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 + 0 - (-11 + 19)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Suppose 0*b + 4 = -2*b. Let t be v(b). Let j(w) = 7*w**2 - 3*w + 2. Let m be j(t). Solve -4*z + m - 4 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**9\/181440 - l**8\/30240 - 11*l**5\/20 - 4*l**2. Let m(z) be the third derivative of h(z). Let m(f) = 0. What is f?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 10*t - 10. Let z be v(-11). Put -5, z, -3 in decreasing order.\nAnswer: z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t**3 + 117255*t**2 - 93816*t + 18764 = 0.\nAnswer: -4691, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2643, 2641, 2629, 2601, 2551, 2473?\nAnswer: 2361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)*w)\/w)**(-12\/11)*(w\/w**1)**(-2\/43) assuming w is positive.\nAnswer: w**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*j - s = 13, 0 = -j + 4*s + 24. Solve -j*l + 9 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654 plus 6023625.29?\nAnswer: 6025279.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -32 + 291*f + 69 - 77. Is s(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21255081 and -16000.\nAnswer: -21271081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2102502276 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 2*c + 1. Let l(o) be the third derivative of -o**5\/30 - 5*o**4\/24 + o**3\/3 + 188*o**2. Give 4*l(w) - 9*x(w).\nAnswer: w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 8. Let i = 16.01 - g. Let o = -5 - 0. Which is the second smallest value? (a) i (b) o (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -62. What is the second derivative of -13*r + 18*r**2 - 13*r + c*r**2 wrt r?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -1\/2 (c) -1030 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o + 12. Let j(u) = 0 + 10*u - 4 + o*u**2 - u**3 + 4*u**2. What are the prime factors of j(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - -1) + 681 + -686?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-1160)\/(-180)) + 24\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1248 and 3245580?\nAnswer: 25964640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p - 9. What is c(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m + 8. Let x(q) = 8*q + 7. Let y = -10 - -5. Let d = -30 - -36. What is d*x(i) + y*a(i)?\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqaqqqqqaaaqa. What is prob of picking 3 q?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(260)*3)\/sqrt(5))\/(sqrt(44)\/sqrt(176)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001407715 to 6 decimal places.\nAnswer: 0.001408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*m**3*x**3 - 23368*m**3 - 3*m**2 - 37837*m*x - 20*m + x**2 - 2 wrt x?\nAnswer: 21*m**3*x**2 - 37837*m + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 18. Let u = -8 + s. Let c = -0.3026 - 3.6974. What is the biggest value in c, 2\/21, u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1436, 2875, 4316, 5759?\nAnswer: 7204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-5\/6))\/(s*s**14) assuming s is positive.\nAnswer: s**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1994, 2468, 2942, 3416, 3890?\n\"Answer: 474*l + 1520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -44 (b) 8683 (c) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 6*u**2 - 5*u - 2. Let c be (-14)\/3 - 9\/27. Calculate i(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -22110.\nAnswer: 14\/11055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -3*b - 2, -y = 5*b - 10*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a meter in millimeters?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 904 = 5*c - 889, 0 = 2*t - 2*c + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmkwkw. What is prob of sequence mkmk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 309616458089333 + 0.3.\nAnswer: 309616458089333.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + 131?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18887*q**3*t**2 - 2*q*t**3 + 20*q - 14712949*t**3 wrt q.\nAnswer: 56661*q**2*t**2 - 2*t**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22\/5 (b) -18 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2. Let w(z) = 2*z**2 - 1. Let y = -162 + 159. Give y*v(o) + 4*w(o).\nAnswer: 2*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 29. Let y be ((-8)\/12)\/((-4)\/(-6)). Let k be -8 + 7 + y\/(-1). What is the remainder when x(k) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*(-3 - -5)*3. Solve -2 + k = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175346189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/60 - g**4\/4 - g**3 - 2*g**2. Let v be y(-3). Put 5, 1, v in descending order.\nAnswer: 5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 27*d**2 + 2*d. Let z(w) = -w + 6*w - 7*w + w. What is b(z(a))?\nAnswer: 27*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -473285 and 4044.\nAnswer: -469241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 8, 1142 + 120 = i - 2*a. What are the prime factors of i?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. Suppose -4*q = -t - 3, -5*q - p = -6. Is t*-3*2\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g + 1236961 = 1237948 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1040*q + 1786419*q**2 + 1786488*q**2 - 3572904*q**2 + 1040*q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n - 364*n - 12642 = 274*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 75*d + 5 + 74*d to the form q*d + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 1244*b + 186168. Determine a(174).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*j + 44*j - 42 - 84*j + (5*j - j + 6*j)*(3 + 1 - 2).\nAnswer: 19*j - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2748*x**3 - 400*x - 1 wrt x?\nAnswer: 16488*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -14*d. Let c(j) = 16274*j. Give c(s(p)).\nAnswer: -227836*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 326010911 to the nearest integer?\nAnswer: 18056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = -a. Find the common denominator of 89\/2 and 675\/63 + a\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*r**2*u**2*v**2 - 38*r**2*v**2 + 2*r*u**2 + 357*r*v**2 - r wrt r?\nAnswer: 10*u**2*v**2 - 76*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -31.5. Which is the closest to 0.3? (a) 2 (b) y (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*o - 5*n, -o + 10 = -3*n + n. What is the smallest common multiple of 5 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-483)\/(-322))\/(3\/(-44))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaf when three letters picked without replacement from ffasffosoao?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1104670 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**4\/12 - s**3\/2 - 2*s**2. What are the prime factors of r(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.39201 months in decades?\nAnswer: 1.10326675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 y, 1 w, and 1 u when four letters picked without replacement from iuwuynnniinynuwwynin.\nAnswer: 36\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*q - 12*q - 156. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 2. Let x be u(3). Let d(g) = -29*g**3 + 1. Let c be d(x). Suppose -o - o = -c. Calculate the highest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(162) + -3)**2.\nAnswer: -72*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.6, -2, 235\/9, -5, 0.3, 3.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s - 28*s - 2775 = -167*s - 20*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Suppose 2*s + 8 = 3*n, -6 = q*s - 0*s - 2*n. Let b(d) = -156*d + 1. Is b(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 414*g**3*n + 178366*g**3 - 21071*g*n - 19*g + n + 49 wrt g?\nAnswer: 2484*g*n + 1070196*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*b - 563*b + 24 - 600 = 0 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*p**2 + 517*p**2 + 410*p**2 + 2*p**3 + 235*p**2.\nAnswer: 2*p**3 + 1407*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -0.4, 5.9 in descending order.\nAnswer: 16, 5.9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191190 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 34. Let r be 3\/(-4) + (-135)\/h. Solve r*x - 3*u - 6 = -x, 5*x = -4*u + 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a - b?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l. Let i(m) = -561*m**2 + 55*m**2 - 40*m**2. What is i(u(d))?\nAnswer: -8736*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2))**(-22))**(-1\/26) assuming j is positive.\nAnswer: j**(11\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 22 = 5. Suppose -3*w + v*w - 78 = 0. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410393 divided by -48?\nAnswer: 410393\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2718 - -36?\nAnswer: -26a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2712 - 4211. Let c = y - -2870. Let b = c - 530. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 96.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 39\/9 + 6\/9. Suppose -216 = i + 4*i + 3*d, -5*i + x*d = 240. What is the common denominator of -46\/7 and ((-132)\/i)\/(1\/(-3))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 + 2*z**2 - 8*z**2 + 8*z**2 + 4*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 7) to base 12.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 16*h - 17 to z + s*h and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in -2, -18\/19, -1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2279.\nAnswer: 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2272 divide 2750512736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**2 - 758*r + 2384. Let x(n) = -9*n**2 - 1517*n + 4766. Let j(p) = 5*x(p) - 11*y(p). What is the first derivative of j(i) wrt i?\nAnswer: -2*i + 753","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26203 less than -6?\nAnswer: -26209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*(sqrt(432) + sqrt(432)*-3) - (2 + (sqrt(432) + 0 - sqrt(432))))*5)**2*6.\nAnswer: -259800 - 14400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-36)\/(-136)) + (-4)\/(-18). Suppose 5*b - 79 = -m. What is the remainder when 74 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 4*b - 1. Let f be d(-3). Let w be f\/(-22) - (-1740825)\/11. Let g = w - 83257. Round g to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1480 divided by -5.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -155*l - 3279. Is a(-52) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35353068598+3\nAnswer: 35353068601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -371 - -1210. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-56 + -4)*(-5364)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.7 less than -743376338?\nAnswer: -743376194.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 5:18 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32179 + 32215. Calculate the highest common factor of t and 6588.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {t: 1, n: 1, r: 3, e: 2, w: 3, v: 8}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 11) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56, -167, -348, -593, -896, -1251, -1652?\n\"Answer: q**3 - 41*q**2 + 5*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287, 937, 1643, 2099, 1999, 1037, -1093, -4697?\nAnswer: -10081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**3*w**3 + 43555*u**3*w + 40*u**3 + 2034452*u*w**4 wrt w.\nAnswer: 18*u**3*w + 24413424*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-184)\/6*(-1 + 1781\/(-52)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93 * -1704400.\nAnswer: 158509200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 - (70 + -47).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*j + 220*j = 6920. Let o = j + -572. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1437, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 611708.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**3 + 124*l**2 - 124*l**2.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1973737 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3538, -6011, -8592, -11281, -14078?\n\"Answer: -54*r**2 - 2311*r - 1173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(-3 + ((sqrt(162) - sqrt(162)*1) + -5 + 1)**2).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 12. Sort s, -5, 4, -2.\nAnswer: -5, s, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4859462.\nAnswer: 2, 2429731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2.1. Let a = 261\/2 - 130. Which is greater: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 308\nAnswer: 15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5690131 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: Let z(b) = -b**2 - 175371*b - 701466. Give z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384276306?\nAnswer: 2, 3, 64046051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 39128461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21686.67401+-322963\nAnswer: -344649.67401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-228)\/2394 - (-1004)\/(-42). Let k(j) = -j - 18. Calculate k(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -2\/7 (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7867 + 7864. Which is the fourth smallest value? (a) h (b) -8 (c) -0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - 1) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.05, 2, 1\/22, 10, 0.04, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3380, 2, 11\/3, 2\/7 in descending order.\nAnswer: 5, 11\/3, 2, 2\/7, -3380","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = -4*q, -4*v - q = -74383. Does 33 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 0. Suppose 4 = d*m - 2. Suppose -m*g = g. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 5 - g)*(-4 - 1 + 3) + 1 + 3*g - 2 - 30*g)*(-33 + 12 - 14) in the form l + s*g and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 30*s**2 + 255*s - 8135. Determine y(29).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q*q*q\/q**(-5\/2))*q*((q\/(q\/((q*q**(-6))\/q)))\/q)\/q)\/((q\/(q**5*q))\/q*q*q**(-2\/7)))\/(q\/(q**2\/q)*q**(-4\/3))**(1\/21) assuming q is positive.\nAnswer: q**(-523\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.5 * 0.3.\nAnswer: -5.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/10 + 4)*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/2)\/15)\/(6\/(1080\/(-5))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((-40)\/(-15))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:23 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9309, -10973, -12609, -14205, -15749, -17229, -18633, -19949?\nAnswer: -21165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5 + 3608*b**4 - 1549676*b**3 - 69933864*b**2 - 751401378*b.\nAnswer: -2*b*(b - 923)**2*(b + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*((-39)\/(-9) + -3). Put 0, f, -2 in descending order.\nAnswer: 0, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9763128 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -401051, -802104, -1203157, -1604210, -2005263?\nAnswer: -2406316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91193 - 64945. Is 49 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 73*z**2 - 406*z + 18. Let p be w(-4). Are 2809 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174204 divided by -9678?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t + 7. Let i(x) = -x - 2. Let f(q) = -4*i(q) - j(q). Give f(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Find t such that t**b - t**3 + 2*t - 4*t**2 + 0*t**3 + 2*t**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3719715 (base 10) to base 2.\nAnswer: -1110001100001000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31900 - -38419. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 2, 7 in decreasing order.\nAnswer: 7, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 0 = -80 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -d672eb (base 16) in base 2?\nAnswer: -110101100111001011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18061.\nAnswer: 18061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, 42, 82, 134, 198, 274, 362?\n\"Answer: 6*r**2 + 10*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 278*v**4 + 22*v**3 - 15001*v**2?\nAnswer: 6672*v + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/5)\/(-2)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.044, -0.1.\nAnswer: -0.1, -0.044, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) + (-1836)\/135. Let d(x) = 7*x**2 - 9*x + 11. What is the thousands digit of d(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/34 + (-2 - 1736\/(-884))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 46 = -4*x + 4*j, j = 2*x + 18. Let w(u) = 3 + u**3 + 10*u**2 - 10 - u + 0*u. Let v be w(x). Solve v*a + 2*a - 40 = 5*c, a = 4*c + 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 4*x + 3 + 1, 4*a - 2*x = 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1384191995 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*x - 1566 = -358*x. What is the greatest common factor of 3603 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 52*n = 260, 4*w - 4*n - 40 = 28 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 4*c - 5. Let d be i(-5). Suppose 2*s + 2*n - 3 - 5 = d, 5*s - n = 20. Suppose s*y - 147 = r + 224, 0 = 5*y + 5*r - 495. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16022 + 47?\nAnswer: 16069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -103*k**9\/126 + 11*k**5 + 2*k**2 + 50. What is the third derivative of d(s) wrt s?\nAnswer: -49440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 2*y**2 - y. Let c(m) = 3*m**3 - 2*m**2 + 1. Let b be c(1). Suppose v + 3*t + 9 = 0, -2 = -3*v - b*t - 1. Calculate z(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + h**2 + 5)*(145 - 999 - 6).\nAnswer: -860*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*183\/(-597) + -1. Let d = 5437\/79998 + r. Let h = -141\/4154 - d. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/9, 2, 1\/9, 1\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 414\/72 - (-2)\/8. Let q = 251 + -241. Is a bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*v**3 - 1653 + 1653.\nAnswer: -540*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -14. Let c(y) = 3*y**2 + 1. Let n be c(-1). Let f(x) = n + 4*x - 3*x + 2*x - 2*x. What is f(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**8\/24 - 13*r**6\/120 + r**4\/6 + 23*r**3\/6 - 35*r**2. Find the second derivative of u(q) wrt q.\nAnswer: 280*q**3 - 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, r: 6, k: 4}. What is prob of sequence kssr?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 at most as big as -11398.98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*1*-1 + -1*sqrt(304) + 4)**2.\nAnswer: -64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 + 9*i. Let u(n) = -3*n**2 - 8*n. Let y(q) = -4*p(q) - 5*u(q). What is y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40925, -81903, -122879, -163853, -204825, -245795, -286763?\nAnswer: -327729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54093 - -95393. What is n rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/8749464 and 87\/1812952.\nAnswer: 201237672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 2:41 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mym when three letters picked without replacement from mmy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64601972?\nAnswer: 2, 17, 950029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1630 in 10.7, 2, 3, -0.5?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 4*p + 0*p + (0*p + 3*p - 5*p)*(-4 + 4 + 2) - 2*p - p + p - 21 + 16 + 4 - 126*p + (0 + 1 + 2)*(-2*p + p + 0*p) + (p + 0 + 0)*(3 + 3 - 3).\nAnswer: -129*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 11*r - 11. Let q(m) = -13*m + 17. Let b = 270 - 268. Let g be q(b). What is t(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3852?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -68, 2\/21, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 9:46 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 20 = 5*i, -2*i + 8 = -z - 0*z. Find the first derivative of -16*r - 30 + z*r - 5*r wrt r.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 + 14 = 0. Let r be ((6\/q)\/3)\/((-1)\/(-2)). Which is the closest to r? (a) 1\/6 (b) -2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + (-296)\/(-48))*6*(-16)\/12\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + 1)*38 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273 + 1205*u + 269 - 141*u.\nAnswer: 1064*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1199*b = -4477*b + 42614 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/7258 and -44\/7.\nAnswer: 50806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 60311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5753.62 decades to years.\nAnswer: 57536.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64? (a) 0.5 (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2475 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*(-1)\/3*0. Suppose 4 = 4*s - j. Which is the smallest value? (a) -1\/22 (b) -1\/6 (c) s (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**8\/6720 - j**7\/840 - j**6\/240 - j**5\/120 + j**4\/12 - j**2. Let f(k) be the second derivative of h(k). Solve f(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 794 - 1220. Let q = a - -869. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 848085 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -950973.308 - -948639. Let p = o - -2328. Let k = -6.2 - p. Round k to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c**3 + 82*c**2 + 7*c - 7. Let f(g) = 3*g**3 + 27*g**2 + 2*g - 2. Let i(j) = -2*b(j) + 7*f(j). Factor i(d).\nAnswer: 5*d**2*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkcckkccck. Give prob of sequence kkck.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p - 3*p - 4*p + (3 + 3 - 7)*(-7*p + 3*p + 2*p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 2. Let x be o(4). Let p = -14 + 26. Suppose 2*r = x*r - p. Calculate the remainder when 3 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64061652 is divided by 938.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 12 = m, 0 = -4*k + 3 - 7. Let f = m + -5. Let v = -803 - -899. What is the highest common factor of f and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284 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: What is -7.30262 rounded to 1 dp?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -6 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139448 is divided by 12557?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 67. Suppose p*y + 4*y + 130 = 5*s, -4*s + 4*y + 108 = 0. Calculate the lowest common multiple of 10 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*l = -261*l. Sort 1, 7, l.\nAnswer: l, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064 times -157?\nAnswer: 10.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 + -61. Suppose -2*l - 3*l = -h. Let q be l - 2 - (5 - 4 - 5). Solve 2*n + 7 = -q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2824 + -1737970.096\nAnswer: -1740794.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4*s)\/s*s**(-2\/11)*s)\/(s**5\/s**(5\/2)) assuming s is positive.\nAnswer: s**(51\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25616, -25058, -24122, -22796, -21068?\nAnswer: -18926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-10)*r)\/(r*r**9))\/(r**(-1\/18)*r**(2\/11)))**(-8) assuming r is positive.\nAnswer: r**(14356\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 495422648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v - 6. Let c(q) = -q**3 + 6*q**2 + 3. Let z be c(6). Let l be j(z). Differentiate 2*u**3 - u - l + 3 + u with respect to u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -68 + 0*q + 1\/3*q**3 - q**2. Calculate k(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + 3.4. Let i = 8 + -5. Let j = 4040010\/7 + -577144. Which is the second smallest value? (a) j (b) z (c) -0.5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-1 - -2) + 0). Let j be -5*(t - 17\/5). Suppose 9*i = -58 + 166. Calculate the greatest common divisor of j and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*j - 2*u - 77 = -62*j, 0 = -j - u + 14. What is the remainder when 113 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -650 + 657. Solve 0 = 2*x + 5*d + 6 + v, -5*d - 3 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-422 + -2 - 0)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 141 = 10*c - 4*c, -86*c + 165*c - 38 = 81*c - 4*k for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 4:18 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -3, -6, -15, -36, -75, -138, -231?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 91, 52, -27, -158, -353, -624, -983, -1442?\n\"Answer: -2*c**3 - 8*c**2 - c + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-48)*9183\/76525?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -323885?\nAnswer: -323889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1644132 - -3779513.\nAnswer: 5423645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -860 - -856. Which is the nearest to o? (a) 0.3 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 x when three letters picked without replacement from {w: 2, d: 4, x: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18 and 69?\nAnswer: -12.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.7. Let i = -686.6 + 686.6. Which is the closest to i? (a) g (b) -0.1 (c) -5 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65296310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5613 (base 8) to base 13\nAnswer: -1464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (5*-9)\/5. Suppose -a*h = 4*h - 20. Solve 6*w + 16 = h*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -479, -438, -377, -302, -219, -134, -53?\n\"Answer: -a**3 + 16*a**2 - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 77. Is r a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -14. Let m(g) = g**3 + 5*g**2 - 6*g + 3. Let q be m(z). Suppose 4*y + 6 = q*y. Which is smaller: -5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -37*m - 13. Let k(x) = 108*x + 37. Let o(b) = -11*j(b) - 4*k(b). Let l(h) = 13*h + 2. What is -9*l(u) - 4*o(u)?\nAnswer: -17*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5\/3 + 4*m**4\/3 - 16*m**2\/3 - 16*m\/3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f - 4*f + 6*f)*(3*f - 4*f - 6*f)*(-f - 4 + 4).\nAnswer: 63*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, e: 5, k: 3}. Give prob of sequence zkkk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -25b (base 15) to base 16\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 65d5e - -2d?\nAnswer: 65d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -127, -113, -81, -25?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 109?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1, 796 in descending order.\nAnswer: 796, 16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -98245?\nAnswer: 23\/98245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302 or 3914\/13?\nAnswer: 3914\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*d - 49, -4*l - 3*d + 8 = -1. Find the second derivative of 0*w + l*w**2 - 2*w - 3*w**2 wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p + 10. Let q(u) = 11*u + 20. What is -4*q(t) + 7*y(t)?\nAnswer: -2*t - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -423 divided by -14405\nAnswer: 423\/14405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 375743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/5 less than or equal to -2973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*h + 30*h - 40 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -101*i**2. Let d(m) be the third derivative of m**4\/24 - 91*m**2. Calculate x(d(z)).\nAnswer: -101*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k - 7*k + 5*k)*(115*k**3 + 4*k**4 - 101*k**3 - 3*k**4).\nAnswer: 5*k**5 + 70*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11788286?\nAnswer: 2, 5894143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y\/((y**1\/y)\/y)*y)*y**(-1\/4)*y*(y*y*y\/(y**7\/y))\/y*y*y**5 assuming y is positive.\nAnswer: y**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -406 + 406. Solve -2*p + 1 = 5*m - 3, -5*p + 3*m + 10 = f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 6079990?\nAnswer: 6079997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11655 greater than or equal to 11655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -6, 6, -2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 13*j + 3. Let t be s(-11). Suppose -t - 25 = -5*w. Let r be (12\/9)\/((-1)\/(-3)). What is the greatest common divisor of w and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l - 2*u = -52, 2*l + u - 3047 + 3053 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1970\/(-50) - -40 - (37282\/(-5) + 1)?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63487 + 26485. Let k be f\/(-231) + (-2)\/11. What is the derivative of 81*d**2 - k*d**2 - 1 + 77*d**2 wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.6287163 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2 + 0 - 136\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqddulljyly. What is prob of picking 3 l and 1 j?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.9 - 21. Let n = -50.1 - h. Let r = n - -40.999949. What is r rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000187958712 rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - 1 + 1)*(3*k - 8*k + 41 - 46) - 2*k**2 - 2*k + 2*k in the form y*k + w + n*k**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011100100 (base 2) in base 16?\nAnswer: 12e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 1617217.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 4, o: 3, w: 2, y: 1}. What is prob of picking 2 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/(11\/(-2)). Is 3 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**4 - 353*f - 87?\nAnswer: 8*f**3 - 353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 9 + 5*h + h. Let y(r) = -r + 2. Let j(q) = 4*d(q) + 18*y(q). Let u(z) = -6*z. What is u(j(k))?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 5*q**4\/3 + q**3\/6 + q**2\/2 - 2*q. Is k(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/320 and 21\/256.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 0*s**4 - 7*s**4 + 2*s**4)*(-2*s + 0 + 0).\nAnswer: 10*s**5 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s + 3. Let x be j(1). Suppose -x*b = -2*b + 3. Let u(c) = 4*c + 4. Let h(n) = n + 1. Give b*u(d) + 3*h(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -75. What is the third smallest value in -4, -11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**3\/3 - 8*x**2 - 64*x\/3 = 0.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 6. What is the second derivative of 756*h + 6*h**m - 710*h - 4*h**2 + 1 wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090.1406 rounded to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 3*u**2 + 2*u - 3. Let v be y(3). Find the third derivative of v*i**2 - 5*i**2 + 5*i**5 - 2*i**2 wrt i.\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22936 divided by 11468?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*l + 75 = 0, -5*d - 74 + 8 = -2*l. Is -17 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4 - 901212*s**3 - 67684625967*s**2 - 406075312818*s = 0. Calculate s.\nAnswer: -150199, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/35*49\/(-21). Is 2 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -50. Let w be g\/(-4)*(-4 - 40\/(-12)). Solve 5*u = -w - 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.916 to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -1, 1, 0.5, 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5038.1 to the nearest 10.\nAnswer: -5040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2079369*i + 9431568 wrt i?\nAnswer: -2079369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 4*u**2 - 34*u + 48. Let i be c(-5). Let w(x) = x**3 + 7*x**2 - 8*x - 42. Give w(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24997*x**3 - 24989*x**3 + 49986*x**3 + 2299*x**4 - 7094 wrt x.\nAnswer: 9196*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/27*(-60)\/(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-136)\/(-612)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 172 + 163 + 163 + 169 - 667.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(3024))\/(sqrt(3) + (sqrt(3) - sqrt(15)\/(1*sqrt(5))) + sqrt(36)\/(2*sqrt(12))).\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b5 (base 15) in base 5?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)*(a\/(a\/(a**(-6)*a)))\/a)\/(a**(-1))**(-1\/69))**(-28) assuming a is positive.\nAnswer: a**(21280\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8236954 is divided by 13350.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cer when three letters picked without replacement from ercrerrsrrse.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 + 46\/10. Suppose f + 30 = -c*f. Put -4, 1, f in descending order.\nAnswer: 1, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*-1*(sqrt(17) + -2)*-1)**2.\nAnswer: -64*sqrt(17) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4035\/16796 - 3\/884. Find the common denominator of (-213)\/(-60) + (-4)\/(-10) and b.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/4*3\/30.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 73 = 2*g + 9, -2*g + 44 = 2*d. Suppose 2765 = 33*n - g*n. List the prime factors of n.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99784217 to the power of 1\/3, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49365, -98723, -148077, -197427, -246773, -296115, -345453?\n\"Answer: 2*q**2 - 49364*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*x + 5*h, 3*x + 22 = -3*h + 16. Determine f, given that 0 - 12\/5*f + 38\/5*f**2 - 42\/5*f**x - 2\/5*f**5 + 18\/5*f**4 = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 238103748 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3\/4, 2\/69895?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 4618?\nAnswer: -4613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5 + 6*j**4 - 2628*j**3 + 34614*j**2 - 104895*j + 72900 = 0.\nAnswer: -36, 1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -254 greater than or equal to -257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 33*(-2)\/8 - -8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23015.62 rounded to the nearest one hundred?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -735 divided by 24?\nAnswer: -245\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 52 = 4*o. Let w be (26\/(-3))\/((-8)\/o). Suppose -4*l + g = -53, 4*l + 5*g + w = 3*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 - (-31 + -13 + 40).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1809164?\nAnswer: 2, 7, 64613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3048 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 291927 and 291926 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*sqrt(32)*1*-4.\nAnswer: 4 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1177*j**2 + 196\/5 - 121\/5*j**3 + 2152\/5*j.\nAnswer: -(j - 49)*(11*j + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52\/93 - -3148\/1023. Let k = 1957\/5 - 787\/2. Find the common denominator of k and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - p = -60961, 3*p = -21 + 24. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 876 + -536. Suppose 4*l + l = d. Let h = 98 - l. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859479567.\nAnswer: 3, 3607, 79427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - 2*w**3 + 2*w**3 + (2 + 4 - 4)*(w**2 - w**2 - 2*w**3) + w - w + 2*w**3 + (3*w**2 + 3*w**2 - 3*w**2)*(1805 - 1805 - 42*w).\nAnswer: -129*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 11 + -17 + (-18 - -4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 392615244 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439013 + 14*f - 439013.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 + 3526*b - 10511*b - 2*b**3 + 3652*b + 3333*b.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -5. Let w be (-12)\/x*-12 - 0. Let r = 0 - -16. What is the highest common divisor of r and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6 - 4 + 8)*(7 - 1 + 1) + 5 - 4 - 6)*(2 - 5*x - 2) + (5*x - x - 2*x)*(0 - 1 + 0) as f + m*x and give m.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**5\/420 + 37*l**4\/168 - 20*l**3\/7 + 43*l**2 + 4*l. Factor x(a).\nAnswer: (a - 3)*(a + 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11191 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 5686352 in increasing order.\nAnswer: -3, -2, 5686352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8350 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/((-9)\/(-50))*(-6)\/5. Let k = j - 57. Suppose k*u = 207 + 15. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -19*u + 36465. What are the prime factors of u?\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 145 - 236 = 0. Suppose -2*k + l = k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/30 and 113\/1726248?\nAnswer: 8631240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiifypfi. Give prob of picking 2 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {u: 7, b: 9}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l - 5*c + 14, -35 = -3*l - 2*c. Let n = -6 + l. Suppose 46 = 4*x + 5*s - 7*s, -n*x + 27 = s. What is the highest common factor of x and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -9 - -2) + -5 + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82957*s**2 - 23*s**3 - 82957*s**2.\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l + 44. Let v be o(-6). Let i(n) = 17*n + 1 - 24*n**v - 7*n**3 + 27*n**2 - 12*n. Let b(w) = 13*w**3 - 5*w**2 - 9*w - 1. Determine -3*b(q) - 5*i(q).\nAnswer: -4*q**3 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 0, 4 in descending order.\nAnswer: 5, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -46. Let h be (186\/9)\/((-2)\/(-6)). Suppose -d*m - 29 = -h. Calculate the remainder when 53 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 140*p - 7617. Determine s(62).\nAnswer: 1063","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2. Let z(w) be the third derivative of w**5\/120 + 5*w**3\/6 + 3*w**2. Let u(q) be the first derivative of z(q). Determine x(u(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -415531 in decreasing order.\nAnswer: 3, 0, -415531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 298*p**2 + 369*p + 109955. Give s(-298).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 133*n = 3217392. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-6) + (30\/5 - 9))*-3622 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 8 + 28. Let q(p) = -p**3 + 8*p**2 + 10*p - 4. Let u be q(t). Let k(w) = w - 7. Give k(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4657899.16 + -4657867.16000131. Let w = -32 + c. Round w to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -29a1a40?\nAnswer: 29a1a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 5. Let x be z(4). Let q be (x - 0) + (-2 - 0). Suppose 0*y - 5 = y. Put 4, y, q in descending order.\nAnswer: 4, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**5\/150 + 2*l**4\/15 - 16*l**3\/15 - 7*l**2. Factor n(y).\nAnswer: -2*(y - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 - 795*t**3 + 215 - 815*t**3.\nAnswer: -1610*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**10*w\/(w*w*w**6))**(-13\/7)*((w*w*w**(-4\/5))\/w*w*w**(-9)\/w)**(-37) assuming w is positive.\nAnswer: w**(11201\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 231\/88*43472\/1729?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 5 - 2)*(-y + 2*y + y) + 17*y + y + 5*y)*(-69*y + 24*y + 6*y) as f*y + r*y**2 + z and give r.\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Suppose -j + 9 = 2*l, n*l - 5*l - 3 = -4*j. Let a(c) = -6*c**2 + 5*c**2 + j*c**2. Let k(b) = b. What is a(k(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40852560 by -4.\nAnswer: -10213140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 9*p**2 - 2*p + 5. Calculate w(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 - 0) + -3 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22168 is divided by 11077.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -61d8 + -4?\nAnswer: -61dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i**2 - 4*i**2 - 8*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1414 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 7:09 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 2*f + 12*w + 73, -4*f = 3*w - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25967 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) -18878 (c) -2\/7 (d) -4 (e) -7 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 368 from -105.\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 848059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 272297 - 29051403.\nAnswer: -28779106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 11. Suppose -4*v = -3*v - 2. Let q(o) = -o**3 + 2*o**2 - 2*o. Let b be q(v). Sort b, j, 2 in descending order.\nAnswer: j, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 32 in decreasing order.\nAnswer: 32, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*l = -8393 + 9893 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*y - 4*y, 0 = 2*f + 3*y + 8. Put -9\/5, f, -2 in increasing order.\nAnswer: -2, -9\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6618.819 rounded to the nearest 100?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5.03. Let s = -13.9 + 26.2. Let o = s + -12. Which is the nearest to -0.1? (a) p (b) o (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 162826 - 2?\nAnswer: 162824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - (15 + -8) - (-32 - -18).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -270 - -476. Suppose -y = -3*s + 2*u, -342 = -5*s - u + 4*u. Round s to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 5:01 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/2 less than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*g - 24, -6*g = -3*s - 9*g. Let f be (1 + 33\/(-5))*(-39 + s). What is the greatest common factor of 112 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 2?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/16*-2)\/((-59)\/(-2596)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -29?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 4*p**2 - 8*p + 6. Let m be ((-2)\/6)\/((-1)\/9). Suppose -2*c = 2*c - 32. Let w = c - m. Determine l(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32540 + 331?\nAnswer: 33311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-13 - -9) + 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -16*u + 349. Determine k(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 12:10 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 151 = -4*y, -w - 260 = 4*w - 5*y. Let d = w + 229\/4. Sort d, 1, -1 in decreasing order.\nAnswer: 1, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000324591631 rounded to seven decimal places?\nAnswer: -0.0000325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28134? (a) 1\/2 (b) -3 (c) -143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 3)*(529*p**2 - 42*p**3 + 522*p**2 - 1055*p**2 - 4*p**3) as i + l*p + f*p**3 + h*p**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 40 + 53 = 4*v, -2*v = -3*p - 33. Suppose -186000000 = -27*h + v*h. Round h to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 11 + 23*i**2 - 37 - 8*i**2 + 16.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10200 - 213?\nAnswer: 4432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 1\/3*q**3 + 91*q - 1\/2*q**2 + 4. Is l(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5528649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4094 and 2249386?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 1833836.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 + -32. Calculate the greatest common divisor of j and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/8*(0 - -8). What is the greatest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 4.18.\nAnswer: 4.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + l + 20, 0*d - d - 4*l - 12 = 0. Let u be ((-6)\/d - -2)*0. Suppose u = 2*b - 5 - 5, 4*h = 2*b + 14. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, f: 7, n: 1, h: 1, j: 3}. What is prob of picking 1 f, 1 j, 1 h, and 1 n?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1730 * 1180.7\nAnswer: -2042611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 135724 * -8.6\nAnswer: -1167226.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 k when three letters picked without replacement from {e: 1, c: 1, y: 5, k: 1, b: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o + 13. Let d be r(-6). Let q = 32 - d. Let b be (-56)\/(-70) + q\/5. Solve -b + 13 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-4))**(-2\/11)\/((j\/(j\/(j\/j**1)))\/(j\/(j**(1\/11)\/j))) assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -581 + -23.\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Suppose -n + 13 = 2*k. Let r = -8 + 10. Solve t + r*s = 4*t - k, 0 = -4*t - 5*s - 24 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 304 + -137. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 8 = -4*h, 6*h = 4*h + v - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17537 is divided by 17470?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -52 + 52 - 21*h + h + 0*h + 1 - 3 + (7*h + 3*h - h)*(1 + 0 - 4) - 2*h - 3 + 3 in the form b + c*h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 24. What is the remainder when p is divided by (-100)\/(-12) - 1\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*t = 15. Let r(q) = -q**2 + 16*q - 13. Let o be r(t). Does 0 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t - 23. Let m be k(-6). Let d(h) = -12*h**2 + m - 6*h**2 - 5*h + 21*h**2. Is d(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -30.03205?\nAnswer: 30.53205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = 2*a. Let b = a + -5. What is the second derivative of -2*l**4 + 2*l**b - 31*l - 6*l**5 + 33*l wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47594.01 millilitres to litres.\nAnswer: 47.59401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) -24 (c) 1\/9 (d) -1\/2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-208) + (-17 - (-880)\/52)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**5 - 15795*o**4 + 47418*o**3 + 31572*o**2 - 189624*o + 126432 = 0.\nAnswer: -5268, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -469 (b) -0.1 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Suppose -4*u - 5*i - 9 = r, 0 = -4*u - 7*i + 4*i - 7. Let c = 19 - u. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b + 57?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - 11*m - 40. Let h be j(35). Let w = h - 3245. What is w rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from fufcccffcn?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**3 - y - 1. Let l(x) = x**3 + x**2 + x - 1. Let q(s) = d(s) - 6*l(s). Let w be q(7). Put -4, w, -10 in descending order.\nAnswer: w, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/5938969 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*n + 150 = 3*v, -2*n = 10. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, e: 4}. What is prob of sequence ei?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - -16. Calculate the highest common factor of s and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (9 + -13 + -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163164 (base 7) to base 11.\nAnswer: 22328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 228 and 244 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -53651, -107310, -160969?\n\"Answer: -53659*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(19\/4))**(-15) assuming y is positive.\nAnswer: y**(-285\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 2:26 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r + 1 - 1 + (5 - 2 + 6)*(-2 + 2 - 4*r).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 1:00 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390 - 520 = 26*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2753434 to the nearest integer?\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 5*w - 1. Suppose -1 = -5*f - 26. Let j be n(f). Let c = j + 11. Solve 5 = -5*d - c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - 2 - -1 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 + -128. Let v = -69\/2 - -37. Which is the nearest to -1? (a) -0.2 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1440453 (base 9) to base 5\nAnswer: 200404003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o*v**3 - 264*o*v - 64*v**3 - 9*v + 2 wrt o?\nAnswer: 2*v**3 - 264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/15 - 25575536*p\/5 - 245290515632736\/5.\nAnswer: -2*(p + 19181652)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 2034518.\nAnswer: 2034526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3076224 divided by -32\nAnswer: -96132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16384 and 5120.\nAnswer: 81920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 1169.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = -3. Let p(b) be the third derivative of -b**7\/1260 + b**6\/80 - 2*b**5\/15 - 5*b**2. Let o(x) be the third derivative of p(x). Calculate o(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175309*b**2 + 175306*b**2 + 175307*b**2 - 525924*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014268 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 995 - -396. What are the prime factors of u?\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 29*s. What is the tens digit of t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6253279?\nAnswer: 41, 152519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:35 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/193, 2\/13, -1, 2 in ascending order.\nAnswer: -1, 2\/193, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnn. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q = 496*q + 1227*q + 76635 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 14*z**2 + 2*z + 43. Suppose -o + 4*o + 3*f + 39 = 0, -3*o - 4*f = 39. List the prime factors of n(o).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13851 divided by -19.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 7*i + 5*i. Suppose i = 5*p + 4*o + 44396, -o - 2753 = 3*p + 23886. Round p to the nearest 100.\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3568*g - 2. Let v(c) be the second derivative of -c**3\/3 - 2086*c - 1. Give h(v(p)).\nAnswer: 7136*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**13*j*j)\/j)\/((j*j*j**(-1\/8)*j)\/j))\/(j**6*j**4))**(9\/2) assuming j is positive.\nAnswer: j**(153\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 8. Suppose 2*i = -5*o - 10, 4*o - o - 10 = 2*i. Let r be w(o). Differentiate -71*d - 2 + r + 80*d with respect to d.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -51*m**2 - 68. Let z(a) = -a**2 - 1. Let d(j) = k(j) - 68*z(j). Let f(o) = 2*o. What is d(f(c))?\nAnswer: 68*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -x + 4. Let t = x - -11. Suppose t*n = -i - 2*i + 57, -4*n + 3*i = -83. What is the least common multiple of 12 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -129*y**3 + y**2 + 45*y + 45. What is u(-1)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 + 9 = 0, j - 84 = -d. Calculate the highest common divisor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-14 + (1 - -1) - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6319302727 to the nearest integer?\nAnswer: 1849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -9*p**5 + 60*p**4 + 36*p**3 - 240*p**2 = 0.\nAnswer: -2, 0, 2, 20\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1972 and 1564.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 33 - 60 - 12104*u.\nAnswer: -12104*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-8 + (-8 - -19))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19167742, 38335530, 57503318, 76671106, 95838894?\nAnswer: 115006682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + 3 - 3)*(4 + 1 - 4)*(1 + 2 + 2) as s*b + c and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, l: 1, v: 2, i: 3, c: 2, w: 1}. What is prob of sequence gvgv?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 - 764*j - 437772.\nAnswer: -(j + 1146)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u + 33 = 0. Suppose 0 = -19*k + 78 - 230. Are u and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ca4 - 49?\nAnswer: 2c5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167066 is divided by 233.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/205921 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 u, and 1 e when four letters picked without replacement from ubueuuurbburub.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28597706 times -1\nAnswer: 28597706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 17*c**2 + 34*c - 19. Let s be u(15). Let r = 43 - s. Is 2*(-2)\/(-2) - (-2790)\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17894 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 + -58. Suppose b*c - 4*q = 389, -q + 528 = 4*c + 3*q. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-1 + 0)) + -372 + 378\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/14*4)\/(4\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 64*x - 5022. Determine g(46).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:15 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 316.27 + -7.27. Let x = -308.471 + p. Round x to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 2*d**2 + 5*d - 3. Give v(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46376960 is divided by 274.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neoinneenaonnveeania. What is prob of sequence iiae?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, 22, 47, 82, 127, 182?\n\"Answer: 5*n**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5)*t)**(14\/5))**(-36) assuming t is positive.\nAnswer: t**(-1512\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 11328810 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6325811399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 - 179 = 7*g. Let m = g + 80. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -99*o + 6 + 99*o + 10*o**2 wrt o?\nAnswer: 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2522 (base 14) to base 13.\nAnswer: 2c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3941 - -3953. Suppose -g + 8 + 0 = 0. Let k be (-54)\/20*2*g\/x. Is k at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 14 = 6*v. Let o(y) = 21*y**3 + 7. Let x(l) be the second derivative of -11*l**5\/20 - 2*l**2 - 44*l. Determine v*x(c) + 4*o(c).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 672 + 152176?\nAnswer: 152858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = v + 3, -8*r + 3*r = 4*v + 9. Let j = -87 + 61. What are the prime factors of -1*3 + (r - j)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-51120)\/(-52) + 9\/(-117)?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -183 - -182.9873. Let q = 8.715 + -8.7. Let g = c + q. Round g to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/(2\/4). Let g = -8 - p. Let v = 8 + g. Let m(t) = t**3 - 3*t**2 - 4. Give m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2776 (base 8) in base 13?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Let y = l + -3. Solve 2*h = 3*i - 12, y*h - 3*h - 16 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0997 + 0.1. Round s to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*c - 16. Let b(m) = -4*m**2 + 4*m - 2. Let u be b(2). What is the least common multiple of c and 2\/(-5) + (-224)\/u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 6*o + 6. Let d = 4 - -5. Suppose -3*p = d + 3. Let v be (-5)\/(p - (-7 - -4)). What is l(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -462 - -977. Suppose -3*b - 4*i + 595 = -0*b, -4*b = -2*i - 830. Suppose -c = -6*q + b. What is q rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c*g**3*y - 8*c*g**3 + 2*c*g**2*y + c*y**3 - 6279*g**3*y**2 + 2*y**4 wrt y?\nAnswer: 6*c*y - 12558*g**3 + 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15, -22, -5, 48, 149, 310, 543?\n\"Answer: 2*i**3 - 21*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47600788 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.084 + -0.157. Let c = 133 + -132.941. Let x = c - l. What is the closest to -1 in x, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = -17*b - 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320321\/10051 - (30 + 2).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191\/85 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362399*n + 362393*n + 362400*n - 1087194*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3531201 + 5?\nAnswer: 3531206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 17 - 7. Suppose 0 = 3*c + 2*c + 3*b - 19, 0 = -4*c + 4*b + 28. Suppose c*t = t + 8. Put t, -3, v in increasing order.\nAnswer: -3, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1016 + 1015.9. What is the closest to c in -0.31, 2, 2\/3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*o - 2. Let i(y) = -7*y**2 - y**3 + 20*y**o - 7*y - 5*y**2 + 4. Is i(4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 422916218*d**4 + 87353409*d**2 wrt d.\nAnswer: 10149989232*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b - 3bc?\nAnswer: -3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -17*s**2. Let f(y) be the second derivative of 0*y**3 - 7\/12*y**4 + 70*y + 0 + 0*y**2. Determine f(j(d)).\nAnswer: -2023*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131422314 (base 5) to base 9.\nAnswer: -1207074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.28 + -0.08. Let i = -128\/3 - -43. Which is the second biggest value? (a) i (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93 - 37 - ((2 - 2) + 7)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7*t*t\/(t*t**10*t)*(t\/(t*t\/(t*t**(-2\/9))))**(-30) assuming t is positive.\nAnswer: t**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.24 + -6.2. Which is the second smallest value? (a) -1\/3 (b) -5\/2 (c) 3\/8 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 22\/3*d**2 + 0 + 16*d - 1\/3*d**3 = 0.\nAnswer: -2, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z - 2*z**2)*(-1 + 0 + 0) + 74*z**2 - 13*z**2 + 36*z**2 + (6*z - 4*z - z)*(3*z - 2*z + 0*z).\nAnswer: 100*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {j: 6, s: 5, w: 2, f: 3, y: 1}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/111 (b) 1 (c) -0.04 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -723 + 1107. Let b = -319 + w. Calculate the greatest common divisor of b and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 9*z**2 - 8*z + 6. Let b be n(6). Suppose 11275*f = 11544*f - 8877. What is the highest common factor of f and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 9*y - 20*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 13793?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*a + 62 + 24, 2*a - 68 = -4*n. What is the hundreds digit of 7435\/10 - (-24)\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-26150)\/(-11 - -6) + -3.\nAnswer: 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/3)\/(j\/j**(-18)*j)*(j*j**(3\/5)\/j*j)**(-48) assuming j is positive.\nAnswer: j**(-1447\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001719 rounded to five decimal places?\nAnswer: -0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 24, 0, -1\/5, 31.6, -770?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 7*q - 2 = 0. Let u(g) = -2*g**2 + 2*g**2 - 2*g**q. Let k(f) = -6*f. What is k(u(y))?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 9898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -39*j**2 - 3*j + 2. Let k(i) = 39*i**2 + 2*i - 1. Let a = -62 + 57. Let g(s) = a*m(s) - 6*k(s). Find the second derivative of g(b) wrt b.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 divided by -9?\nAnswer: 140\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 + 705668*n\/5 - 62245915778\/5.\nAnswer: -2*(n - 176417)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 1 = 3*m - 2*m, l - 1 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -2. Let i = b + 3. Calculate the highest common divisor of 9 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12268396.7 rounded to the nearest one hundred thousand?\nAnswer: 12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-63)\/((-126)\/(-32)))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162742156 is divided by 2393267.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1476*y = 2993*y - 16687 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11584, -11775, -12094, -12541, -13116, -13819?\nAnswer: -14650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n = -15*n - 14*n + 324 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63956?\nAnswer: 2, 59, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 9:14 AM?\nAnswer: 518","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/5))\/(((p**(2\/23)*p)\/p*p)\/p))\/(p**(2\/5))**(-14\/3) assuming p is positive.\nAnswer: p**(1097\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (26\/6)\/(35\/30). Let u = x - 69\/28. Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 14 = k, -2*o = -3*k - 3 - 0. Suppose 0 = -3*v + 4*v - 3*w - o, 43 = 2*v - w. Which is greater: 23 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118107795.\nAnswer: 3, 5, 13, 73, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 9 = h, 69 = 4*v + h + 76 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -147 (base 8) to base 12\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/8 - 4)*4. What is the units digit of 2\/((-29)\/(-14) + i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(1*(sqrt(12) + sqrt(48)\/sqrt(4))) - (1*sqrt(12)\/sqrt(2))\/sqrt(2).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-14))\/(84\/(-294))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 285?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f + 8 = 0. Let w be -1*1*1 - -254. Suppose -f*m - m + 335 = 5*x, x + w = 4*m. What is the greatest common divisor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.02 + 0.02. Let a = 1061 - 1057. What is the closest to a in t, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvnr when four letters picked without replacement from {n: 4, r: 1, v: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y**3 - 81*y**2 - 6*y + 15. Let d be n(-9). What is the greatest common divisor of d and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185 by 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*w = 3*w + 28, -3*w = 4*d + 4. Let q(i) = 3*i. Let s(n) = -4*n - 1. Calculate d*s(z) + 3*q(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188 + -388. Let g = 199.999859 + o. Round g to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76727*k - 76727*k + 2*k**2 - 326 + (0*k + 4*k - 6*k)*(7*k - 3*k + k).\nAnswer: -8*k**2 - 326","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*r - 3*x, 2*x + 87 = 3*r - x. Find the common denominator of 51\/2 and (-9)\/60*r*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 13. Let c be j(9). Find the second derivative of 10*d + 23*d**4 + c*d - 11*d wrt d.\nAnswer: 276*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from diiioiiodvodovdh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 486307.\nAnswer: 145892.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 0*n + 5\/24*n**4 + 51*n**2 - 1\/15*n**5 + 0 - 2\/3*n**3. Let x(o) = -o + 1. Determine q(m) + 4*x(m).\nAnswer: -4*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11026 and 814.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 7*d**4\/12 - d**3\/6 + 5*d**2\/2 + 42*d. Let c be n(14). Suppose 0 = -m + 736 + c. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 18 + 5*t + 10 as b + l*t and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1 = -5*b. Let s be (b\/3)\/((-1)\/12). Let y be ((-10)\/s)\/5*-6. Solve -5*o + 7 + y = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 116, -2708, -13172, -35986, -75860, -137504, -225628, -344942?\n\"Answer: -785*y**3 + 890*y**2 + y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**2 + 8070*u + 182965 = 0.\nAnswer: -1591, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*z + x, -3*z + 8 + 7 = -3*x. Let w = -13 + 18. Let d = w - 5.1. Which is the smallest value? (a) d (b) 0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4268 and 229114.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*s**2 - 36*s**3 + 37*s**2 - 24*s**3 + 51 wrt s.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 1, w: 1, e: 2, a: 2, s: 1}. What is prob of sequence as?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4794.\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/6 + 8*w**3 + 25*w**2 + 76*w\/3 + 17\/2 = 0. What is w?\nAnswer: -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008 is divided by 260?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 15250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from cccrcrccccccccrrccc?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 1471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - a**3 + 0*a**3)*(45 + 7 + 89 + 19).\nAnswer: -160*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*u + 44*u + 490 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3773)\/(-1029))\/((-154)\/12))\/((-18)\/112)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1304801953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v. Let o(n) = 393*n**2 + 2. Let y(u) = -590*u**2 - 3. Suppose -3*f - 77 = -14*f. Let c(d) = f*o(d) + 5*y(d). Determine c(q(t)).\nAnswer: -796*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 3*q - 68422*q**3 + 68941*q**3.\nAnswer: 519*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 2, -1\/32, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5 + 3 + 5*d - 9*d - 3. Let u(l) = -11*l + 14. Give -8*q(h) + 3*u(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*z**2 - 2 + 4*z**2 - 12*z**2 to f*z + s + r*z**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*s + 504*s = 255*s + 56 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m + 5*m)*(-2 + 2 + 2)*(-m + 4*m - 17*m + (3*m - 4*m + 2*m)*(2 + 3 - 18)).\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. Suppose -i - 5*b + 12 = -2*i, 5*i + 2*b + 6 = 0. What is the nearest to -1 in i, u, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**4 - 108*j**3 + 4552*j**2 + 3226364*j.\nAnswer: -24*j**2 - 648*j + 9104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 10770756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5*h - 8. Let d = h - -4. Let o = -5 - -8. Solve -d*v = -v + o*p + 15, 5*v = -4*p - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701 - 2742 + 701 + 634 - 324*g**2 + 706.\nAnswer: -324*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2) - sqrt(2))**2 + -4 + -5 + -5*(0 + sqrt(242)) - (((-2*sqrt(16) - sqrt(16))\/sqrt(4))\/sqrt(162) + 4).\nAnswer: -164*sqrt(2)\/3 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 287, 744, 1505, 2564, 3915, 5552?\n\"Answer: -d**3 + 158*d**2 - 10*d + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2.1. Let w = -11 - -8. Let t be (3\/(-84))\/((-1)\/4). Which is the closest to i? (a) w (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12031322313 (base 4) in base 5?\nAnswer: 404124004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/48)\/(8\/352*1).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 181*c - 19*c + 1908*c**3 - 12 - 53*c wrt c.\nAnswer: 11448*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3150114071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let z(j) = -691*j - 2. Calculate -4*d(v) + z(v).\nAnswer: -695*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 2*d - 1. Suppose 3*o = 2*c + 9, 0*c + 9 = c + 3*o. Let v = c + -6. Let p be ((-1)\/(-3))\/(1\/v). Calculate q(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-9) - (-142)\/6. Let s be ((-160)\/x - -7)*1*9. Solve -4*y - 7 + s = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhd when three letters picked without replacement from yhdhdyfydoyo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -131*a + 157*a + 312 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12*v - 257. Let s be p(-21). Sort -2, 3, -39, s in decreasing order.\nAnswer: 3, -2, s, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/24 and 59\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6 = -0*s. Let x(a) = a**2 - 2*a + 4. Let u be x(s). Suppose -23 = -3*r - t - t, -u = -4*r - 4*t. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(1\/25))*p*p*p)\/p**(-9))\/(p**12)**(-13\/6) assuming p is positive.\nAnswer: p**(951\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816771 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 73 + 83 = 0. Let t = r + -116\/3. Let s = 87 + -84. What is the closest to t in 0, 0.04, s?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2049?\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-654)\/4)\/((-6)\/8). Let c(r) = 214*r - 226. Let o be c(3). Let y = o - g. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 2. Let l(m) = -8*m**2 + 4*m - 5. Determine 2*l(j) + 6*q(j).\nAnswer: -16*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 974.8905336 to one dp.\nAnswer: 974.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 31022021?\nAnswer: 31022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-2)\/(-4) - 6. Let n be r + (-15 + 3)\/(-4). Suppose -2*q + 10 = n, -3*k + 0*k - 4*q + 35 = 0. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7616963 rounded to the nearest one thousand?\nAnswer: 7617000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22645*v**2 + 22649*v**2 + 1432*v - 1425*v.\nAnswer: 4*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 2, -4, -33 in decreasing order.\nAnswer: 5, 2, -3, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5489*q - 297. Let d(p) = -343*p + 18. Let b(a) = -33*d(a) - 2*z(a). Let c(s) = -s. Determine c(b(y)).\nAnswer: -341*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -954 + 3817\/4. Let w = 2 - 2.08. Let d = 4.92 - w. Sort d, n, -4, 2\/7 in ascending order.\nAnswer: -4, n, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101569*c**2*m**3 - 2*c**2*m**2 + 51*c*m**3 + 154*c wrt c.\nAnswer: -203138*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 711479141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -28, -42, -56?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**3*j*u - 2*a**3*j + 2*a**3*u + 9*a**3 - 4*a**2*j - a**2*u - a*j*u - 31*a*j + 3*j wrt a.\nAnswer: -18*j*u - 12*j + 12*u + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-60) + (-69)\/(-15) + -12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 11*j - 2. Suppose -2*k - 3*u + 21 = 6, 0 = -2*u - 6. Suppose 0 = -2*p - p + k. What are the prime factors of w(p)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/156*-13*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737358069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1530 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/4 + 304*c**2 - 1116297*c\/4 = 0. Calculate c.\nAnswer: -1827, 0, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*(-26)\/(-507))\/(-1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -223, -242, -259, -274?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 2*d**4 - 37 + 6361*d**2 - d**3 - 6362*d**2 + 7 to n*d**2 + h*d**3 + r*d + f + y*d**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.2, -0.32, -2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**3\/6 + 5*r**2 + 8*r + 1. Calculate d(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 18*u**3 + 5*u**2 - 12*u + 9. Let q = 218 - 214. Is z(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m**3 - m)*(-m**2 - 4*m**2 + 3*m**2) - 2*m**5 + 2*m**4 - 9*m**2 - 6*m**4 + 8*m**2.\nAnswer: 2*m**5 - 4*m**4 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 - 11*t + 43 - 136)*(1 + 0 - 2).\nAnswer: 11*t + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9315511339 to the power of 1\/2, to the nearest integer?\nAnswer: 96517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1299 + -0.8701. Which is the nearest to -2? (a) 14 (b) y (c) -0.1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 6*m**2 - m + 8. Let g be d(6). Let s be (8 - 6)*g\/4. Which is the closest to 0.2? (a) s (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -23*d**3 + 28*d**2 - 28*d - 71. Is q(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3598 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.77666272 take away 216?\nAnswer: -276.77666272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 408\/360 - 1 - 176\/(-30). Solve 2*m - 20 = -4*s, 20 = -2*s + v*s + 4*m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/138*21\/(1071\/34).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 252903020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from {m: 1, v: 1, g: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -15*s + 447. Calculate o(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 - 3*w. Let y(t) = 7*t**2 + 5*t. Let d(n) = -n**2 - 2*n + 3. Let j be d(2). Determine j*h(r) - 3*y(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -6, -117, 1 in decreasing order.\nAnswer: 27, 1, -6, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/(d\/(d**(-5)\/d)))**(-1\/11) assuming d is positive.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(0 - (-3)\/(-6)). Let a(s) = s**x + 2 + 2 + s - 4. Determine a(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693523?\nAnswer: 693523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 504 + 2 + 1 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180293448 to the power of 1\/2, to the nearest integer?\nAnswer: 13427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -39*f - 46. Calculate q(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4806512 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (60\/6 + -7)\/(1\/(-1)). Let q(f) = -f + 10. Let r be q(8). Let c(o) = -6*o + 6*o + o**3 + r*o**2 + o + 3. Give c(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 118 - 57. Let q = 73 - c. Suppose -8*z = -q*z + 592. What are the prime factors of z?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -327, 2\/17, 2\/5, 11, 0.2 in descending order.\nAnswer: 11, 2\/5, 0.2, 2\/17, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1200, -1201, -1202, -1203?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -5, -2, -10, 547 in increasing order.\nAnswer: -10, -5, -3, -2, -1, 547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 + 96 - 436*r - 289 + 95.\nAnswer: -436*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3807)\/11985 - (-2)\/10. Which is the closest to 1? (a) v (b) 4 (c) -0.4 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 130*d + 1441. What is g(10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3. Let k = 1.14 - 1.14. Sort q, 4, k.\nAnswer: q, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6131 = 4*b - 5997. What are the prime factors of b?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(170)*-1 - sqrt(170))\/(sqrt(810) + sqrt(810)*-3).\nAnswer: -sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -5*m**4\/12 + 233*m**3\/6 + 95*m**2 + 2*m. Does 14 divide l(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 953.51 - 6930162.\nAnswer: -6929208.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55230713 is divided by 628?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1. Let y be v(0). Let n be 1 - (y - 2)*43. Let f = -28 + n. Calculate the highest common factor of 80 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 37425*r**2 + 6*r + 4241*r**2 + 2*r - 6 - 3*r. Let a be u(6). What is a rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 - 40*o**2 - 111*o + 60. Let p(j) = -j**3 + 20*j**2 + 55*j - 30. Let a(q) = 13*p(q) + 6*y(q). Is a(22) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*j**3*o**2 + 588*c*j**3 + 1329091*c*j**2*o**2 - 5*c*o - 2*j**3 + 2*j**2*o - j*o wrt o?\nAnswer: 4*c*j**3 + 2658182*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 1. Let f(g) = g - 2. Let q(u) = f(u) - 2*j(u). Let l be q(-5). List the prime factors of l + (-2)\/2 + 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5 - 0. Sort -2, -3, u in increasing order.\nAnswer: -3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -437291530 by 5.\nAnswer: -87458306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k. Let w(j) = -28955*j. What is w(n(g))?\nAnswer: 144775*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5827 (b) 164 (c) -3 (d) 2\/13 (e) 5 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 + 3*h**3 - 5*h**3 - 2*h**4)*(1 + 36*h + 37*h - 70*h).\nAnswer: -3*h**5 - 7*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/((-30)\/12) + 11*-62. Let h = y - -686. What is the least common multiple of 200 and h?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-four fifths of a minute?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.8 (b) 1\/5 (c) 0.26 (d) -0.2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1.06191 (c) 5.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -28.5 (b) 0.04 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6939186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + f + 2. Let w be v(0). Let s(n) be the first derivative of 533333*n**3 + n**2 - 1. Let q be s(w). Round q to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*q - 5*q + 4 = 0, 4*v - q - 22 = 0. Let j(u) = -3*u - 1. Let z be j(-1). Suppose z*o = v*o. Solve -3*m + o*h = 2*h + 7, -5*m = -2*h - 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32460 - 5504. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 95.02775254 to 3 dps.\nAnswer: 95.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52569 in -3, 71, 0.1?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n + 9 = 0. Suppose n - 36 = 3*q. Let y = q - -36. Solve -4*c - c = -y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*o**3 + 14453*o**2 wrt o?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {y: 4, k: 4, f: 1, c: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8615520 a multiple of 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020021211020212 - -101?\nAnswer: 1020021211021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.31 and 5493456.9?\nAnswer: 5493468.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19\/4 (b) 3 (c) 10 (d) -2 (e) 2 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26132 + -106?\nAnswer: 26024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/8 and 6\/657527?\nAnswer: 5260216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394033523.\nAnswer: 13, 233, 130087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -0.06116?\nAnswer: 0.0024464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c**2 + 19*c - 2. Let i(m) = -m**2 - 4*m + 1. Let h(z) = 2*i(z) + r(z). Let a(b) = 2*b**2. Give a(h(v)).\nAnswer: 50*v**4 + 220*v**3 + 242*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 5177.\nAnswer: 51770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -911, -1819, -2725, -3629?\n\"Answer: v**2 - 911*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12964094.\nAnswer: 2, 11, 13, 45329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 26808.9\nAnswer: -26808.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247896777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1283 + -2541?\nAnswer: -1258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 37*c - 51. Determine y(16).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 14.4. Let n = v - 5.5. Suppose 4*q + 2*j + 5 = -1, -4*q - j = 5. What is the biggest value in 2\/5, q, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 745 - -51.08791\nAnswer: 796.08791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -3*f + 5, 2*a = -3*a + f + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/3*(-12)\/(-4). Solve 5*y - 2*q = 2*q - 2, -q - a = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 39. Let s be j(19). Is 1363 + (s\/(-8) - 2\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**3 - 3*y**2 - 3*y - 3. Let x(h) = -6*h**2 - 6*h + 4. Let c(k) = k**2 + k - 1. Let p(q) = 5*c(q) + x(q). Determine b(r) - 3*p(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 5396273128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -3361 and -3534 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530756173.\nAnswer: 397, 659, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from {e: 2, t: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -47185.843.\nAnswer: -47182.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2224 + 6214?\nAnswer: 3660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 15 = -0. Suppose 0 = -2*a + 5*a + 9. Sort l, a, 0 in descending order.\nAnswer: 0, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, q: 3, l: 5, r: 1, x: 1, f: 2}. Give prob of sequence qmq.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 15523?\nAnswer: -15531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -183220*f**3 - 24*f**2 - 6260548.\nAnswer: -549660*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 74*o**3 + 3*o - 2. What is the tens digit of l(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 99*f + 1. Let l(s) = -s**2 - 5*s - 5. Let m be l(-3). Let p be t(m). What is the highest common divisor of p and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(20)\/sqrt(810))**2) + sqrt(2) + sqrt(98) + -5.\nAnswer: -407\/81 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 25, p - 159 = -3*p + 5*b. List the prime factors of (5 - p\/8)*-8*3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*n**4 + 6806887*n**3 - 2042080*n**2 - 8848951*n + 4084134 = 0. Calculate n.\nAnswer: -680689, -6\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + l + 1. Let z be c(-1). What is the common denominator of 39\/14 and z + 4 + 621\/(-432)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -59. Let d = -452.94 - -447. Let v = -0.06 + d. Which is the closest to 0.1? (a) 0.2 (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -311?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z + 12. Suppose 5*s = -v - 2*v + 51, 2*s - z*v = 33. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74424522 times 0.2?\nAnswer: -14884904.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - -92 - 34) + -22?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.41 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**3 - 2*q**2 - 6*q - 7. Let i be c(-3). Suppose 15 = -5*f - i. Let k = 143 - f. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -337506*h**3 - 284036*h**2?\nAnswer: -2025036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/12 and -49\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34391079 to the power of 1\/3, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6999, 5, 5587 in increasing order.\nAnswer: -6999, 5, 5587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/2)*q\/q**(1\/2)*(q\/((q\/(q*q**(-1\/4)*q))\/q*q))**(-4\/3) assuming q is positive.\nAnswer: q**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -5*v + 11\/4*v**4 + 0 - 14\/3*v**3 + 0*v**2. Find the second derivative of k(g) wrt g.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**4\/24 + 2*c**2 - 38. Let t(v) = 9*v + 6. Let z(b) = b + 1. Let o(n) = t(n) - 6*z(n). What is o(s(y))?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2113 - 2117. Sort -0.08, -2, x in descending order.\nAnswer: -0.08, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -7*r**6\/120 - r**5\/20 + r**4\/24 - r**3\/3 - 7*r**2. What is the tens digit of s(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/(-14)*570\/532*4\/(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -1\/120*d**6 + d**3 + 0*d**2 + 0*d + 6 - 1\/8*d**4 + 1\/20*d**5. Let l(f) be the third derivative of u(f). Factor l(p).\nAnswer: -3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -389*7565\nAnswer: -2942785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-30))\/((-22 + 24)\/((-2)\/3)). Which is the second biggest value? (a) i (b) 5 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, 20, 34?\n\"Answer: 14*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3850743 divided by 3\nAnswer: 1283581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 1. Let w(g) = g + 2. Let p(i) = -5*m(i) + 4*w(i). Let k(z) = 4*z - 9. Let l(d) = -2*k(d) - 7*p(d). Calculate l(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 1. Let m(a) = -2*a**2 + 2*a + 9. Let o be m(-2). What is y(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 376, 791, 1364, 2101?\nAnswer: 3008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -110) + -6 - (26 - 24 - -10)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13\/39476?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*a + 4*a. Let u(l) = -l**3 + l**2 + l + 14. What is the remainder when 27 is divided by u(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5 - 996*a**2 - 2 - 3 to h + j*a + i*a**2 and give i.\nAnswer: -996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 110\/(-315)) + (-4)\/(-18)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6 (b) 0.3 (c) 0.44 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 774641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 = 2*x + 7, 4*u - 18 = 2*x. Suppose u*n - 14 = -5*v + 1, -4*v = -2*n. Solve 2*b + 5*s + 6 = 0, -s + v = b + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*g - 5*c + 3*c, 0 = -3*g + 2*c + 16. Let a be -2 - (-1)\/(g\/4). Suppose 4*j + z = -0*z + 60, a = -4*z. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0163 and 55538570908.\nAnswer: 55538570907.9837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + ((sqrt(1100) + -2)*3 - sqrt(1100)))**2 - 1*(-5 + sqrt(1100) + 4 + sqrt(1100) + 3)**2.\nAnswer: -8925 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93186282 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = -0*n. Let m = n + -2. What is the first derivative of 2 - 4 - u**3 + 0 - m*u**3 wrt u?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3922\/111 - 2\/6. Which is the biggest value? (a) -3 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p + 6. Let y(c) = -c - 3. Let b(q) = -4*a(q) - 7*y(q). What is the remainder when b(-6) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 6*m**2 + 2*m + 8. Let l be i(6). Suppose 10*u - 5*u - l = 0. Solve 0 = -u*v - 0*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = 14 + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -10\/69*j**3 + 0*j**2 + 28 + 1\/46*j**4 + 0*j. Factor f(i).\nAnswer: 2*i**2*(i - 5)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*(t**21\/t)\/t*t*((t**22*t)\/t*t)\/t*t**(5\/9)\/t**(-1\/2) assuming t is positive.\nAnswer: t**(811\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 + -98. Suppose 0 = l*b + 15, -r + 4*b = -2*r - 5. Suppose -2*j + r*j - 690 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 15584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d**2 - 13*d**2 + 11*d**2.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r - 2 + 0*r**2 - 10*r**3 + 9*r**3 + 4*r**2)*(16*r + 21*r - 14*r) in the form w*r + g + u*r**3 + z*r**4 + h*r**2 and give h.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/31 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4221.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -186768 or -186339?\nAnswer: -186339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 + 135\/(-10). Let b = w + 17. Suppose b - 635 = -u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780 = -4*s + 808. Suppose -579 = 2*u + u. Let p = u - -270. Calculate the greatest common factor of p and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**6\/15 - y**3\/6 + 303*y**2\/2 + y + 50. Let t(s) be the first derivative of j(s). Determine t(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {m: 4, u: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**8\/2100 + z**7\/175 - z**6\/50 + 26*z**3\/3 - 23. Let t(k) be the third derivative of o(k). Solve t(p) = 0 for p.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (45\/135)\/(1\/15). Suppose 499 = t + i*n, 0*n = 3*t - n - 1545. Is t a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.31368 in -1, -7\/2, -2, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 8 = -4*r, -3*n + r - 2 = n. Let c(y) = y**3 - y**2 + y + 5. Let j be c(n). Calculate the greatest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1071377.\nAnswer: 1071377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from kbbekmu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 149252093, 149252089, 149252083, 149252075, 149252065, 149252053, 149252039?\n\"Answer: -s**2 - s + 149252095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(2100\/(-250))*14\/(-35)*6\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 16*u**2 + 10*u - 71. Give i(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 485943, -0.3, 5.\nAnswer: -0.3, 5, 485943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-240)\/54)\/(5\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -5*i**7\/42 + 3*i**6 - 21*i**5 + 190*i**4\/3 - 80*i**3 - 2*i + 158. Factor b(m).\nAnswer: -5*m*(m - 12)*(m - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 2:15 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133330333323 (base 4) to base 9.\nAnswer: 16676126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13652177.\nAnswer: 7, 11, 177301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + o + 2. Let p be d(5). Let j = 40 - p. What is the common denominator of j and -69\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 3:04 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-20) + -3 + (-797)\/(-70) + -11.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c + 20517. What are the prime factors of z(0)?\nAnswer: 3, 7, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-504)\/(-588)*4\/(-8)*(-3 + 250\/60)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = 49 - 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 20, -0.06, -2\/7, -0.106?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -18*(6\/(-2) + 2). Suppose 2*j = -3*o + 30, j + 3*o = -0*j + i. Calculate the smallest common multiple of 16 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -113*u**6\/60 - u**5\/20 + 2*u**3\/3 + u**2 - 15*u. What is the third derivative of g(v) wrt v?\nAnswer: -1356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*q**2 + q - 9 + 8 - 3*q - 60*q**2 - 90*q**2.\nAnswer: -124*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100160024 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) - 936\/(-16). Let p = g + -33. Suppose 0 = 4*o - 108 - 84. Calculate the remainder when o is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 5 - 5)*(0 - 3 - 1)*(-3*v**4 + 0*v**4 + 2*v**4) + 2*v**4 + 2*v**2 - 2*v**2.\nAnswer: 106*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1\/7, -165, -0.2, -13?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/(-7*14\/(-196)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 19887 - 33681 = 0. What are the prime factors of (-7 + 8 - -1) + x?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -411303*l**5 + 2*l**2 + 69879*l + 2 wrt l?\nAnswer: -8226060*l**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*p - 805, p + 6*g - 2*g = -137. Let b = 390 + p. Is 51 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1104, -1065, -1016, -951, -864, -749?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 765452275?\nAnswer: 765452276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/3 - 63934*x**3\/3 + 227946510*x**2 - 2474639177450*x\/3 + 291843363443500\/3.\nAnswer: 2*(x - 10615)**3*(x - 122)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3 + (-1)\/1*(2 + 11))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 7200\/1050 - (6\/7 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 + 48. Let j = 43 + m. Suppose 2*r + 0 + 6 = 0. Sort j, 1, r.\nAnswer: r, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28509 + -28445. Solve 40*h - 144 = v*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453717613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as 260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 - 228510*v + 4351401675 = 0. Calculate v.\nAnswer: 38085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 3*2\/6. Solve 2 = 2*x - b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35744, -286753, -968238, -2295437, -4483588, -7747929?\n\"Answer: -35873*r**3 + 102*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 450012349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*9\/(9\/(-2)). Suppose 0 = -2*s + 3*b + 12, -p*b = s + 3*b + 7. What is the closest to 1 in 0.5, 0.1, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87721 + 315830 = 36*n - 10557. What are the prime factors of n?\nAnswer: 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 - 30*h**3 + 108*h**2.\nAnswer: -2*h**2*(h - 3)*(h + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 774212 to the power of 1\/2, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48*r**2 - 236?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 5:48 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 166\nAnswer: 9.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 902333 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5014655737 + -2246\nAnswer: -5014657983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 11*s - 77. Let y be t(7). Suppose y = m + 14*m - 6360. What are the prime factors of m?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92204, 92208, 92212?\nAnswer: 92216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 259503 - 152252. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/17 + (-3281)\/(-867) + -4)\/(45\/27).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 1372*q**3 - 35100*q**2 + 310068*q - 921456.\nAnswer: -4*(q - 316)*(q - 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 632 = -20*u. Let w = 446 - u. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 485509, 0, -4, 56 in ascending order.\nAnswer: -4, 0, 56, 485509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/9 + 1)\/((-6)\/82494) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 + 172. Calculate the smallest common multiple of s and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -402044 or -401373?\nAnswer: -401373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 8*y**2 - y + 6. Let x be m(7). Let w be (-10)\/x - 9\/20. Which is the nearest to -1? (a) w (b) 0.12 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 + 27*u**3 - 12*u**3 + 12*u - 14*u**3)*(0*u + u - 2*u) as r*u + m*u**2 + x*u**3 + l*u**4 + t and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/((-570)\/(-20)))\/((-4)\/414*-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1904633*o - 12421222 with respect to o.\nAnswer: 1904633","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 12:15 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1230910 and 2215638?\nAnswer: 11078190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*o + 70*o + 4*z = -1544, 16 = 4*z. Solve 128*u = -2*u + o for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 234 = -3*x, 2*q + 2 - 12 = 0. Calculate the remainder when 1530 is divided by x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57\/(-4)*(-12)\/9 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1344638 and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z - 5. Let o(m) = -8*m + 4. Let f(h) = 6*o(h) + 5*t(h). Let b be 1\/(-4) - 45\/(-36). Suppose -34 = v + 2*v - 5*y, 2*v + y + b = 0. Determine f(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1390182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (378 + 293 - 806 + 5*q)*(2*q + 2*q**3 - 2*q).\nAnswer: 10*q**4 - 270*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, q: 3}. What is prob of sequence qqqg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 - 7*v**2 + 8*v + 9. List the prime factors of j(-4).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/109910 and -4\/23877?\nAnswer: 6924330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -6.5. What is the closest to 0.1 in a, 0, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*t**3\/4 - 57*t**2\/4 + 5*t\/2 = 0. Calculate t.\nAnswer: 0, 2\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let l(i) = -14*i + 5. Let g(b) = 28*b - 9. Let y(x) = 3*g(x) + 7*l(x). Let t(m) = -18*m + 9. Let k(a) = -3*t(a) + 4*y(a). Give k(j) - 3*z(j).\nAnswer: j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -88 (b) -0.3 (c) 9945\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(1\/2)))\/d)**(-5\/2)*d**(2\/5)*d*d\/(d*d**(-7)*d)*d*((d\/d**(-11))\/(d**(-2)\/d))**(-3\/14) assuming d is positive.\nAnswer: d**(901\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4122429 from -7.\nAnswer: 4122422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -12.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -206 - -202. Let n = -0.9 + 1.27. Let d = -0.03 - n. Which is the third smallest value? (a) d (b) l (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 + 77.028. Let s = 3.028 - y. What is the third smallest value in s, -0.2, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 0*v**2 - 2*v**2 + (-21*v - 17*v + 2*v - 56*v)*(-v - 5*v + 3*v + (251*v + 0*v - 44*v)*(-3 + 1 + 3)).\nAnswer: -18770*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 485, 1635, 4799, 10985, 21201, 36455?\n\"Answer: 168*h**3 - h**2 - 23*h + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25485203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69351*l**3 + 2*l**2 + 4480?\nAnswer: -416106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 o when three letters picked without replacement from {m: 4, o: 16}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -135*l**3 + 2*l**2 - 5027*l + 5027*l. Does 48 divide r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 38747\nAnswer: 2324.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147143, -294265, -441387?\nAnswer: -588509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3748 and -15\/446012?\nAnswer: 446012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -275.74 + 262. Let m = z + -0.26. Let f = m - -14.0000005. What is f rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by -938323\nAnswer: -63\/938323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 257*a**7\/210 + 269*a**5\/60 + 307*a**2 - 2. Find the third derivative of b(n) wrt n.\nAnswer: 6168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2. Let z = 1 - 4. Let r(w) = -w. Let o(q) = q. Let u(a) = z*r(a) - 4*o(a). What is k(u(n))?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*11\/44.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4809*f**3*p - f**3 + 2*f**2*p*z + 5*f**2*z - z + 534 wrt p?\nAnswer: 4809*f**3 + 2*f**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 23724 = 14*p. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000010001101 - 11100?\nAnswer: 1000000001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(20)\/(sqrt(8)\/sqrt(2)) - sqrt(45)*-1)*-3 + 5)**2.\nAnswer: -90*sqrt(5) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h - 184. Let v(d) = 6*d + 277. Calculate -7*q(w) - 5*v(w).\nAnswer: -2*w - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -994.0471 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 20. Let u = -4 + a. Suppose 11*i = u*i - 8. Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 22 = -4*l. Let p = l + 39. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2115 + -2111. Solve -19 = 4*n - 4*a + 9, -n = -g*a + 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1147, -0.19, -2, -63 in descending order.\nAnswer: 0.5, -0.19, -2, -63, -1147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13813142 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*a*g*i + 4*a*g - 40518*a*i**2 - 2*a*i + g*i**2 + 2045*g*i wrt g.\nAnswer: -27*a*i + 4*a + i**2 + 2045*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 6. Let u(b) = 5 - 18*b + b**3 + 18*b. Give 5*l(d) - 6*u(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 6.08. Let p = -27.08 - -22. Let m = p + d. What is the second smallest value in m, -4, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.8 + 9. Let j = z - 0.2. Let x = -4 + 4.2. Which is smaller: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2. Let z(n) = n - 2. Let u be z(7). Suppose 0 = 4*c, u*m + 5*c = 4*m + 5. Let k(s) = s - m*s + 5*s. Determine j(k(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, -11, 8 in descending order.\nAnswer: 12, 8, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -6)*3\/4. Suppose -x*d + 14 = d - h, 3*d + 5*h - 22 = 0. What is the nearest to 11 in -2, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1584 - 1580. Let v = 1.4 + -1.6. Let q = 0 - -0.05. Which is the closest to q? (a) v (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365418950 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(19) - sqrt(171)\/sqrt(36))**2*-6 - (((sqrt(114) + (-2*sqrt(114) - sqrt(114)))*-4)\/sqrt(6))**2).\nAnswer: -2485\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*r - 9, 0*c - 5*c = 4*r - 3. Let a be (6\/(-8))\/(r\/(-24)). Solve 3*u - 3 - a = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2 (b) 0 (c) -0.07 (d) 11 (e) -7\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-23 - -11)) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 4 - 0. Suppose -6 = -3*o + 3. Find the common denominator of -15\/7 and y*o\/12*-1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/9 + 544*z**2\/3 + 63404*z + 38066600\/9.\nAnswer: -4*(z - 650)*(z + 121)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3304016 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 49*l. Let t(q) = -13906*q. Give v(t(a)).\nAnswer: -681394*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 5, 0, -1 in descending order.\nAnswer: 5, 0, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -3*l - 2 + 22, 3*l - 16 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-210))\/(56\/105) + 243\/(-12)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -2*w + 4*c - 18, c = -2*w - 75. Let o = w + 60. What is the remainder when 62 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = 2*f + 4*j, 28 = 5*f - j. Solve -f = 2*x - x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 29 + 25. Determine n, given that 4\/3*n**2 - 2\/3 - 2\/3*n**c + 0*n + 0*n**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 58*i - 3. What are the prime factors of l(-24)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -v + 5, v = -3*j + 6*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1)\/(6\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3 = -15. What is the units digit of -1 + 6 - (5 + a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 41*b**3 - 6*b**2 + b + 101. Is j(6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4717, -4719, -4721?\n\"Answer: -2*i - 4715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2. Let m be -3*(-3)\/9 + 7. Let l(f) = 0*f - m*f + 4*f. Give l(h(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6 + (-3)\/(-9). Let c = x + 5\/3. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-0.4.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 165471661 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/36)\/((-30)\/(-80))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 223057\/3 or 0?\nAnswer: 223057\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*m - 28. Let n be (-9)\/21 + 505\/35 - -2. Let v = n + m. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 4, 3, -3\/5, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*p = 45*p + 7. Let r be p*18\/210 - 6\/10. Solve -4*q - 12 = -r*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7146326255 to the power of 1\/2, to the nearest integer?\nAnswer: 84536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -111 times 0.88428\nAnswer: -98.15508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 524915.\nAnswer: -13\/524915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-220)\/(-35) - 6\/21. Let p be 2*k\/8*17\/(-153). What is the second smallest value in 4, -1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14802767881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -19*v. Let b(o) = 6*o**2. Determine b(x(t)).\nAnswer: 2166*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 21. Let u be (-266)\/d - (-30)\/(-20). Round u to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 166.\nAnswer: 1\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 976283\/14 - (-10)\/(40\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000118713 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 5*n**2 - 2*n - 4. Let q = 1 + -2. Let g be q + (-2 + 0 - -1). Let d be -2*1*(-5)\/g. Calculate h(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 - 91.8. Suppose -2*n - 7 = 3*f + 4, 0 = 5*n + 3*f + 5. What is the third biggest value in -1, w, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28641 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: Calculate (238\/68)\/((38\/12)\/19).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x**2. Suppose -2*z - 33 = 5*a - 8, 15 = -2*z - 3*a. Let s(t) = 2*t + z*t + 3*t - 3*t. Give s(q(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*a + 6 + 504 = -393 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71667 = -172*q - 15079. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92487 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1728604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2051685?\nAnswer: 3, 5, 127, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**4\/4 + 8*c**3\/3 + c**2 + 6*c + 40. Calculate z(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*r**3 - 49*r**3 + 25*r**3 - 6 + 0 - 2*r**2 to the form q*r + y + f*r**2 + p*r**3 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48.5 + 49. Let f = -113\/78 + 3\/26. Let t(j) = j**2 - 6*j + 4. Let q be t(4). What is the biggest value in q, f, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(6\/5)*c)\/c*c*c**(-20)\/c*c assuming c is positive.\nAnswer: c**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 - 27 - k**3 - k**3 + 10 + 2*k**2 - 3*k**4 + 8*k + 15 to h*k + j*k**4 + a + o*k**2 + s*k**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -249967033790 - -249966811219.600066. Let f = x + 222571. Let l = f - 0.6. Round l to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(65\/(34125\/(-90))).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68.39 + 68. Let f = -0.4 - b. Let t = f - 1.99. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - h)*(4 + 0 - 2)*(-4*h - h - 10*h).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 724508556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 308663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 41164635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-4) + 9\/36. Suppose 0*r - t*r = -8. Solve 7*o = -2*x + 3*o - 6, -3*x - r*o = 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 0*l**3 + 2*l**3 + (9*l**2 + 6*l**2 - 10*l**2)*(2 + 2*l - 2) in the form o*l**3 + g + m*l**2 + v*l and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4124*v**3 - 7*v**2 - 19*v + 20. Let h(c) = -4125*c**3 + 6*c**2 + 19*c - 20. Let f(b) = -5*h(b) - 4*u(b). Let a be f(5). Round a to the nearest 10000.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-291)\/1164)\/((-19)\/(-4))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4858, 28841, 68812, 124771, 196718, 284653?\nAnswer: 388576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -70.7. Let g = -1.8 + z. What is g rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12348 (base 9) to base 2\nAnswer: -10000001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 14*r - 5. Let z be b(6). Let k = -41 + z. What is the remainder when k is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 14633.7926154381.\nAnswer: -14633.7926154381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 6. Suppose h = x*h - 51. Suppose -2*b + 5*b - 5*i = 485, -840 = -5*b + 2*i. Calculate the highest common divisor of b and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14852 + -10347. What is the highest common divisor of 85 and u?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1488 + 1030 + 2090 = 57*m - 201*m for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 5 = -2*n. Suppose -2*w - 2 = -4*w. Let z be w\/(n\/5*-1). Put z, 3, 2 in descending order.\nAnswer: z, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*d + 0 + 0.\nAnswer: 903*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -5. Let z = -0.24 - 0.193. Let x = 0.233 + z. Is x at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9*p**(13\/3))\/(p**6\/(p**(-15)*p)) assuming p is positive.\nAnswer: p**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (256 - (0\/4 + -3))*(-720)\/(-42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-216)\/486)\/((-2)\/(-12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 307021212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, 6, 4, 2, 0, -2?\n\"Answer: -2*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2949697.39913 + 2949684. Let d = v - -13.4. What is d rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21572 + -13873. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49740302 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 3, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*p = t + 20, 0 = 4*t + 4*p + 16. List the prime factors of (-1)\/(t\/(-4972)*-1).\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) -1\/258 (c) -3\/2 (d) -5 (e) 1\/4 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, k: 10}. What is prob of sequence kk?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/109 + -11891\/1090. Find the common denominator of 69\/2018 and f.\nAnswer: 10090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, o: 5, a: 1, k: 1, n: 7}. Give prob of sequence kl.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 187220351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -937*o + 884 + 51 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.912 to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*p**3 + 710*p**2 + 925*p + 170.\nAnswer: -5*(p - 17)*(p + 1)*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymyt when four letters picked without replacement from nnmyymnnnyynnyyty?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 10. Suppose -s*b + 3 = -61. What is the highest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/4 - 1 - (-14 + (-741)\/(-52)). Sort -86, x, 9.\nAnswer: -86, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -52. Suppose 0 = f*n - n - 48. Solve 2*g - n*g = -t + 1, 3*t - 3 = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2 - 2765251*k - 11061020 = 0. What is k?\nAnswer: -4, 2765255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*i**3 - 20*i**2 + 20*i**2 - i**3 + 2*i**3 + i**3 + (-5*i - 2*i + i)*(2*i**2 - 8*i**2 - 7 + 6).\nAnswer: 31*i**3 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 273, 616, 1097, 1716?\nAnswer: 2473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**4\/12 - n**3\/6 + n. Let l be (4*1)\/(-24*34\/(-408)). Let j(g) = -4*g**2 + 3*g - 2. Determine l*p(m) + j(m).\nAnswer: -2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 6) + 1 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -116*k**3 + 5*k**2 + 5*k - 15. Let r(n) = -58*n**3 + 3*n**2 + 3*n - 8. Give -5*r(i) + 3*x(i).\nAnswer: -58*i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.81053 hours in minutes?\nAnswer: 348.6318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2060.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 21 = -5*x, -5*x - 27 = -a - 3*a. Suppose -q + 0*k - 1 = a*k, 5*q - 4*k + 62 = 0. What is the common denominator of -91\/8 and (447\/(-45))\/(24\/q)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - v + 36 + 44 - 4.\nAnswer: -v + 218","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1643720 by 4.\nAnswer: -410930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -24, -44, -70, -102, -140?\n\"Answer: -3*f**2 - 5*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28376569 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 13. Suppose v = -4*z + h - 2*h + 233, 234 = 4*z + 2*h. Let t = z + -53. Solve u = -4*u + t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3*g - 861, -15*i - g = -17*i - 583. Let a = i + 292. Solve -2*q + 2*l + a = -q, 5*l = 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and -824305.213.\nAnswer: -824312.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -49707391\nAnswer: 149122173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1095 + -1095.2. What is the closest to 2\/3 in -3\/5, 0.4, k, 5\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*3*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 2*x**2 - 3*x - 2. Suppose -5*a + 2 = 12. Let d be h(a). Let t be ((-6)\/14)\/(d\/8). Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.25*-0.4.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6135 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*k - 3*k**3 - 4 - 20226010*k**2 + 12 + 20226010*k**2.\nAnswer: -3*k**3 - 140*k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554 = -2*n - 2*k, 2*n - 7*k + 3*k = 554. What are the prime factors of n?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-102)\/36)\/17)\/((-2)\/(-32)*6).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + k = 322, -2*z + 62 + 90 = -4*k. What is the remainder when (-15)\/(-12) - (-6700)\/z is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*q + 8 = -6, 3*j + 4*q - 23 = 0. Suppose n - 2*a - 9 = 0, j = n + 3*a + 2. Let c = 33 + -17. Solve 0*f - 2*f - c = -4*l, 5*l + 10 = -n*f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 101, 181, 247, 293, 313, 301?\n\"Answer: -m**3 - m**2 + 90*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 199*r**4 + 20*r**3 - 212*r - 865475?\nAnswer: 796*r**3 + 60*r**2 - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 10*q**3)*(0*q - 3*q + 13*q) to o*q**3 + i*q + c + d*q**2 + l*q**4 and give l.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8997389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -201*x**2 + 168*x - 36. Let j(z) = -502*z**2 + 420*z - 90. Let u(d) = d**2 - 3*d + 1. Let p be u(4). Let q(y) = p*j(y) - 12*f(y). Factor q(g).\nAnswer: -2*(7*g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**4\/24 + 2*d**3 + d**2. Let r(x) = 5*x**2 + 2*x - 1. Let l be r(1). List the prime factors of y(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 151, 172, 193?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, -4, -50, 2, -6200 in descending order.\nAnswer: 2, -1, -4, -9, -50, -6200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 1, e: 4, b: 2, l: 1}. Give prob of picking 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07864 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 81487974, 81487979, 81487984, 81487989, 81487994, 81487999?\n\"Answer: 5*p + 81487969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -41*d**3 + 66*d**2 - 7*d - 3. Let v(g) = -13*g**3 + 21*g**2 - 2*g - 1. Let p(j) = 6*o(j) - 19*v(j). Calculate p(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26197 + 0.3\nAnswer: -26196.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s**2 + 69*s - 446. Is x(25) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q + 106*q = -1320 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10653 divided by 53\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 8:40 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 9*o**2 - o - 18. What is h(-4)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(-6*(sqrt(6)*2 - sqrt(6))).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 1246297049?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38168889*t**2 - 70620401*t.\nAnswer: -76337778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 3.06. Let c = 259 - 262. Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -290 - -286. Suppose 6 = -0*c - 2*c + 3*a, -2*c = -5*a + 6. What is the closest to t in c, -1, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 62 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*b**3 + 118911*b**2\/2 + 1741509*b\/2.\nAnswer: 3*b*(b + 3949)*(10*b + 147)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*m = -2146 + 7722. Let h = -20 - -71. Calculate the highest common factor of m and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0 + 0*z + 0*z**3 - 74*z**2 - 1\/60*z**5 + 0*z**4. Let u(x) be the second derivative of 11*x**4\/2 + 3*x. Determine u(b(o)).\nAnswer: 66*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5083*b**3 - 10152*b + 10152*b + 5036*b**3.\nAnswer: -47*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + -1290.9955.\nAnswer: -1320.9955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 12 = -2. Let g = -3 + 9. Let r be -1 + 3 + g\/y. Sort 3, r, -3.\nAnswer: -3, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4782 - -9563\/2. Which is the nearest to g? (a) 1 (b) 4332 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.712 - 2.012. What is the third smallest value in -1\/5, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/7)*(m\/(m*m**(-7)))\/m*m*(m**(-1\/2)*m)**19)**11 assuming m is positive.\nAnswer: m**(2453\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 45*l = -63*l + 63*l + 4386 for l.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.176 (b) 12 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/47)*y)**(3\/13))**(-4) assuming y is positive.\nAnswer: y**(-1104\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 1, -2, -0.07, 82?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 26c3 (base 13) to base 3\nAnswer: 21122012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/5*(1900\/(-4) + 0). Let k = y + 1711. Let -5\/2*d + 2*d**2 + k - 1\/2*d**3 = 0. Calculate d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77 - 55) + 9 + 59?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 9:08 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 139.\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 17018638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -22*o + 17. Is 12 a factor of i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 354, 367, 394, 441, 514, 619, 762?\n\"Answer: f**3 + f**2 + 3*f + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h + 25 = 27*h. Let v(g) = 4*g**2 + 10*g + 3. What is the remainder when v(h) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(324)\/sqrt(6)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4793 is divided by 497?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxylllxrxlgllrxlrg. Give prob of picking 2 g, 1 l, and 1 x.\nAnswer: 49\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqqgtqmmdds. Give prob of picking 1 m, 1 t, and 1 s.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*s - 3*a, 8 = -3*s + 6*s - a. Let l = -252 + 128. Let u be l\/93 - ((-1)\/3 - -1). Put u, 4, s, 1 in descending order.\nAnswer: 4, s, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 5. Let l be b(-3). Put l, 115, 1 in descending order.\nAnswer: 115, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 203878 - 563778. What is c rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 12. Let z = 2 + q. Let j = z + -36. What is the nearest to 0.1 in -4, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 5*h**2 + 4*h - 2. Let q be t(-3). Let w be (0 + q + -4)\/(-3). Suppose 0 = -w*z + 4*z - 68. What is the greatest common divisor of 85 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 670 and -967.59?\nAnswer: -648285.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27236)\/(-6190) + 594\/(-10).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25960919.\nAnswer: 31, 677, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxn when three letters picked without replacement from qqxxnnxnxxxx.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 2322668 - 12*x**3 + 0*x - 2322670.\nAnswer: -12*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3821.7 rounded to the nearest 10?\nAnswer: -3820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/11)\/h**(-3\/2)*h*h\/(((h\/(h*h\/((h\/(h*h\/(h*h**(-7))))\/h)))\/h)\/h)*h*(h*(((h\/h**(-2\/7))\/h)\/h)\/h*h)\/h*h assuming h is positive.\nAnswer: h**(2417\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 191 + -169. What is the highest common factor of t and 990?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 5*d**3 + 19*d - 7522*d**2 + 7522*d**2.\nAnswer: -6*d**3 + 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 9) to base 8\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100110 (base 2) to base 5.\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 16*x**2 - 20*x - 5. What are the prime factors of v(5)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 - (233 + -238)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2.6 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16492 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i + 20 + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166070741 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -4\/9, 5\/6.\nAnswer: -35, -4\/9, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 5*g + 5. Calculate the remainder when b(-6) is divided by (-10)\/(-8)*(-160)\/(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*u + 14*u + 44286. Does 26 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34662556*v + 6578577 wrt v?\nAnswer: -34662556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 60*a + 1. Let y = 22 + -49. Let j be (4\/(-12))\/(1\/y). Is t(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 12. What is the closest to p in -0.4, 0.5, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/24655?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -425.5958\nAnswer: 127.67874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 + s - 403702. Let o(p) = 2*p**2 + 10. Calculate h(o(l)).\nAnswer: 12*l**4 + 122*l**2 - 403392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 35. Let g(l) = 31*l - 11. Let z(f) = 6*f - 2. Let v(o) = y*z(o) - 2*g(o). Let u(q) = 2*q - q + 0*q. What is v(u(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p + 1. Let a(t) = 11*t - 2. Let b(l) = -6*a(l) - 17*f(l). Determine b(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 2*s**2 + s - 4. Suppose -11*k - 3 = -12*k. Suppose -4*p = k*v - 6 + 3, v - 9 = -4*p. Determine j(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i*n**3 + 82083881*i - 33429*n**3 - 2*n wrt n?\nAnswer: 6*i*n**2 - 100287*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.74 times -3?\nAnswer: 14.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1160*m - 400*m - 360*m - 328*m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111580 = -5*b + i - 38447, 5*b + 5*i = 73115. Does 103 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*t + 8. Let u(m) be the first derivative of m**4\/2 - m**3\/3 - 3*m**2 + m + 4. Is u(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**5\/20 + 3*i**4\/4 - 5*i**3\/6 + 9*i**2 + 5515*i. Determine n(-8).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -24*h**2 + 78*h**2 - 27*h**2 - 28*h**2. Let l(n) = 252*n**2. What is j(l(a))?\nAnswer: -63504*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/18*-2)\/((-2)\/(-12)). Suppose 1 + 1 = -2*t + 3*p, 0 = -c*t - 5*p + 30. Let l be (-7)\/(-2) - (t\/(-2) - -2). Is 4 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5507*x + 1849*x - 4004*x + 9864*x as p*x + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 453587, 907166, 1360745, 1814324?\nAnswer: 2267903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123066272 is divided by 61533128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1276735 and 7440.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2560) + 1*sqrt(2560))*-3)\/(sqrt(48)\/(sqrt(96) + sqrt(6)) - sqrt(48)\/sqrt(24))*-3.\nAnswer: -480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f - 73. Let w be d(11). Solve 0*a - 6 = r + 3*a, 3*a + 15 = -w*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 != -14870423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 2 + 1 - 1. Let m be y(-3). List the prime factors of (-2)\/m + 216\/15.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.62 - 6.62. Let r be (-1 + 0)\/(20\/12). Which is the closest to 1? (a) 0.4 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 308 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/12 and -45\/15580618.\nAnswer: 93483708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + 1. Let f(b) = 9*b**2 + 3*b + 3. Give -f(y) + n(y).\nAnswer: -6*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.038.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/2546950?\nAnswer: 9\/2546950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnwnn. Give prob of picking 2 n.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.67 (b) -7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -17*j + 15. Let w(v) = -20*v + 15. Let i(l) = 7*q(l) - 6*w(l). Determine i(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*v + 2 + (-v - v + 3*v)*(-16 + 8 - 22 + (0 - 4 + 2)*(-4 + 4 + 1) + 3 + 3 - 4) to c*v + r and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 215, 402, 571, 716, 831, 910, 947, 936?\n\"Answer: -z**3 - 3*z**2 + 203*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2701, 2697, 2683, 2653, 2601?\nAnswer: 2521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -12. What is the units digit of 1\/(l\/81*-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*r = 6 + 10, -r + 5 = 2*p. Suppose -x + 508 = 3*k, 0 = -3*x + p*k + 453 + 1006. Round x to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12336 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/(h\/(h*h\/(h**(-11)\/h))*h))**3 assuming h is positive.\nAnswer: h**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**5\/2 - a**4\/12 + 2*a. Let i be g(-1). Suppose -2*b + i = -27. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i*n**2*t - 3*i*n - 2*i*t - 6*i + 42*n**2*t + 2*n**2 + 11*n*t - 37 wrt t?\nAnswer: -i*n**2 - 2*i + 42*n**2 + 11*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**3\/6 - 59*y**2\/2 + 16*y - 2. Let a(p) = 2*p. Give k(a(g)).\nAnswer: 2*g - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4501 + -4492. Solve v - 2 = -2*p, 5*p + 8*v = z*v + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6014730 less than -6014730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 154163.\nAnswer: -1387467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 990\/(-2736)*12\/(-26) - (5418\/234 - 23).\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 117755 (base 9) to base 10\nAnswer: 71330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12679? (a) -1\/6 (b) 0.3 (c) 0.112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6604nm in micrometers?\nAnswer: 0.0006604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -x + 141 - 5, -2*w + 534 = 4*x. Let t(v) = -458*v + 954. Let q be t(2). Calculate the highest common divisor of q and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 6:52 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 23*s**2 - 11*s - 17. Let h be q(12). Let z(v) = -62*v - 82. Let y be z(h). Which is smaller: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493535921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3010 divided by 14\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1031 = 4*g - 5*n + 4*n, -5*n = -3*g + 786. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*3*7. Suppose -2*w = -3 - 1. Let k = 9 - w. Is f less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 20*l**2 - 56*l + 37. Let n be f(17). Let z be (-16)\/(-3)*(-36)\/n. Solve 2 = 5*q + y + 5, -12 = -4*q + z*y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*x - 4*x + 0*x)*(2 - 2 - 1)*(1 - 3 + 1)*(x - 3*x + 4*x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/88)\/1)\/((-1)\/2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5 = p. Which is the smallest value? (a) -1\/2 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*b**2 + 40243 - 40243.\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 8 - 3. Suppose q*t = 3*t + 28. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 2\/4971 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178*o + 13*o**4 + 12 - 178*o with respect to o.\nAnswer: 52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 15. What is the units digit of 140\/u*54\/45?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147711 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: What is prob of picking 2 n when two letters picked without replacement from gqynnnngt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1959.749 hours?\nAnswer: 7055096400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 284*d + 17. What are the prime factors of i(2)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 3*x + 2. Let i be y(-2). Let a be (-1 - i)\/(0 + 3). Let s = -0.5 - 0. What is the closest to -2\/7 in 4, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - f + 5. Let x be p(0). Let i(g) = -4*g**2 + 5*g + 9*g - 5 - 16*g. Let v(o) = -6*o**2 - 3*o - 7. What is x*v(z) - 7*i(z)?\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + 55.8. Let w = f + -2.6. Let g = -0.01 + 0.31. What is the second biggest value in -4, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 491585.4 to the nearest 1000.\nAnswer: 492000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.202 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*g - 10, 754*g - 753*g - q = 5. Solve -g*r = 3*v - 9, 52 = 5*v + 5*r + 47 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54490, -54514, -54570, -54670, -54826, -55050, -55354, -55750?\n\"Answer: -2*h**3 - 4*h**2 + 2*h - 54486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -72*h**2 - 25*h - 39. Calculate i(-3).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctctctttctccct. Give prob of picking 4 t.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82\/17 - 2409\/68. Let c be (-1 - 0) + (-769)\/20. Let n = k - c. What is the nearest to 2\/7 in -0.3, 2, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 2297?\nAnswer: 2296.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 258412303 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1397773 + -1044.\nAnswer: -1398817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -27*i**3 + 2*i**2 + 3*i + 2. Suppose -2*q = -2*r + 4 + 4, 5*r - 18 = 3*q. What is the least common multiple of z(q) and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, l: 12}. Give prob of sequence uu.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 16*y - 94. Let u(w) = 14*w**3 - w**2 - 4*w + 3. Let d be u(1). Calculate the remainder when i(d) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 9354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5208569\/1110 + -2944\/555. Let p = t - 4692. Calculate the common denominator of 31\/10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1055*w + 1051*w = 44 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14649 - -14648.95. What is the closest to 3\/22 in -0.7, b, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.53 - -4.3. Let z = 461.4636 + -461.6935787. Let m = z - p. What is m rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60*((-6)\/15)\/(-1). Suppose c = -4*w + 4. Let n = 6 + -6.4. What is the closest to 1 in n, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*j + 39, 2*j + 4*z + 40 = 2*z. Let o = -13 - j. Suppose 0 = b + 2*b - o. What is the greatest common factor of 6 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4199 + 10*t + 4214 - 8399.\nAnswer: 10*t + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 56*g + 55*g + 1 - 173*g + 61*g. Let r(i) = 3*i + 7. Let z(c) = 5*c + 14. Let d(f) = 11*r(f) - 6*z(f). Calculate -d(n) - 5*k(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s - 39*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 3*o**2 - o**2)*(-12*o**3 - 8*o**3 + 30*o**3 + 2*o**2).\nAnswer: -50*o**5 - 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4) + 15\/(-6) - -1. Suppose -2*q - 2*y = -v*y + 38, 0 = 3*q - 2*y + 37. Is 5 a factor of (-6)\/q*(-50)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -13*g**2 + 27*g + 11. Let b(o) = 2*o**2 - 5*o. Let h(j) = 8*b(j) + v(j). Suppose m = 9 - 1. What are the prime factors of h(m)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 6 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1608 and -107\/12?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9808 - -0.0192. Let h = -15.3 + 17. Let m = 2 - h. What is the third biggest value in -15\/8, s, m?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21995 - -20333. Is l equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 2:13 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -13.99997. Round k to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {i: 1, u: 1, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 37\/7 - (-8)\/(-28). Suppose -2*g + g = 0. Let v be 0\/(g + -1) - 1. Which is the nearest to -2? (a) 0.3 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 609*n**2*p**2 - 2*n**2*p - 2*n*p**2 - 75953*p**2 + 1 wrt n?\nAnswer: 1218*n*p**2 - 4*n*p - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.163 times 249.592\nAnswer: -290.275496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 164, -4, 90, 5 in ascending order.\nAnswer: -4, 5, 90, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Suppose -4*n = -1 - 3. Let u be (0 - -9*n) + -3. What is the highest common divisor of u and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*w = -1 - 0, 5*f - 2*w = -7. What is the lowest common multiple of 40 and 16 + (-2 - (-2)\/f) - 0?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.025 + 1.525. Let q = 0 - l. Let n = q - -2. Which is the third smallest value? (a) 22 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -822 - -822.03. Let t = 27\/11 + -211\/77. Which is the closest to 0? (a) 1 (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, r: 3, p: 1}. What is prob of sequence rq?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (3 + 2))*6\/(-10). Suppose 5*m + l = 1146, -686 = -t*m - 2*l + l. What is m rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 + 10 - 7)*(3*m**4 + 2*m**4 - 3*m**4).\nAnswer: -170*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -z + 34 - 29, 5*n - 10 = -5*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1277 - -1255.32. Let j = i - -22. Let c = j - 0.32. What is the third biggest value in 2\/7, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 4. Let t(w) = 2*w + 115. Let n(x) = 3*x + 173. Let j(i) = l*n(i) + 8*t(i). Is j(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 6. Let b be g(-5). Let r(z) = b + 2*z - 4*z + 3*z. What is the units digit of r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8932765?\nAnswer: 5, 1786553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**5\/4 + 344*c**4 + 11693*c**3\/4 - 4041*c**2\/2 - 37881*c + 25218 = 0.\nAnswer: -6, 2\/3, 3, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 n when three letters picked without replacement from {j: 6, d: 1, n: 10}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -16. Let v = p + 26. Solve 5*n + 4 = -v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 - 2*d + 2. Let h(m) = -m**3 + m - 2. Let w(j) = 2*j**3 - 3*j + 7. Let f(z) = 3*h(z) + w(z). What is c(x) - 4*f(x)?\nAnswer: 2*x**3 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-3))\/(22\/(-66))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 6. Let o be q(5). Which is bigger: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -39*j - 195. Let v be w(-5). Suppose 5*g - 389 = 3*h, -3*g - h - 34 + 273 = v. Calculate the remainder when g is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-5))\/((-7)\/(28\/(-8))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -5*l + 61 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 37. Let k = 0.8 + -0.4. Let x = k - 0.3. Which is the second smallest value? (a) q (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**3 - 214*g**2 + 154*g + 126. What is a(-72)?\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 0*n**3 - 2*n**2 - n**3 - n**3. Let g = 3 + -1. Calculate x(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 466396 times -3\nAnswer: -1399188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 113488, 113492, 113496, 113500, 113504, 113508?\n\"Answer: 4*g + 113484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 u when three letters picked without replacement from {p: 2, d: 4, u: 1, s: 2, v: 2, e: 4}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1088)*2 - (sqrt(1088) - sqrt(1088)*2*-3)) + -1 + -3)**2.\nAnswer: 480*sqrt(17) + 27236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21531 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/60798 and -83\/6.\nAnswer: 60798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, 3, -6 in decreasing order.\nAnswer: 3, -5, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 11*d**2 - d + 9. Let s be x(-11). Suppose 9 - s = -g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4785736673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*w. Suppose 4*o - 6*o - 70 = w. Let b = 41 + o. Solve -5*t + 2*t = b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3666977 to the nearest integer?\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 7*h - 6. Let p be c(8). Let r(n) = n**3 + 14*n**2 - n + 1. Let o be r(p). What is the remainder when 33 is divided by ((-8)\/(-2))\/2 + o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 34*x**2 + 113*x - 32. What is the smallest common multiple of k(-23) and 59?\nAnswer: 3717","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -176, 4, -3 in descending order.\nAnswer: 4, -3, -4, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26463 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -676, 0.3, 0, -2, -1, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238 and 6.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-18) + 8\/(-36). Suppose -5 + 47 = 3*l. What is the highest common divisor of y and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 54*x. Let o(m) = -2*m. Give d(o(f)).\nAnswer: -8*f**2 - 108*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -544377 - -318460628\/585. Let g = -2\/65 + y. What is the biggest value in 3, g, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361697.\nAnswer: 7, 163, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*w + 37*w = 573648000. Round w to the nearest one hundred thousand.\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 573 = 5*v, -4*s + v + 1719 = -s. Suppose -s = -g + 1264. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvcvvvvvvcvvvv. Give prob of sequence vvv.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**7\/42 + t**6\/15 - 11*t**5\/20 - 2*t**4\/3 + 10*t**3\/3 + 8*t**2 + 1134*t. What is j in h(j) = 0?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1477040.\nAnswer: -3\/1477040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + n + 1. Let j(m) = 4*m**2 + 4 - 2 + 2*m - 5*m**2. Give 2*j(h) - 4*o(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/6 + 2*d**3\/3 - 3*d**2\/2 + 2*d. Let i be z(4). Let b be i\/(-12)*(-16)\/6. Solve 2*y + 2 = b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.2, 54, 1\/2, -5\/6, -2\/9, 0.6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/4 (b) 39663 (c) 2 (d) 0.1 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.6 - 11. Which is the smallest value? (a) q (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -66. Let l = t - -72. Let x = 35.73 - l. What is x rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 44 - 19 = 0. Let u be (-14)\/c - (-2 + (-25)\/9). Let a be u*1\/4*-4. Is a less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -32 + -3 + 12 + -20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 54919, 109849, 164785, 219727, 274675?\n\"Answer: 3*b**2 + 54921*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 6*h**2 - 4. Let y(q) = 2*q + 3. Let z be y(3). Let l = -7 + z. Let m(c) = 7*c**l - 34*c**3 + 35*c**3 + 4 + 1. Determine 4*m(w) + 5*u(w).\nAnswer: -w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696*p - 30070 - 11690 = 0 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 d when four letters picked without replacement from {c: 1, v: 2, e: 3, w: 6, d: 5}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 + 792\/7. Let x(u) = -u**3 + 6*u**2. Let z be x(6). Which is the closest to 6? (a) z (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Let w = -7.7 - -8. Let s = 1\/39 - -4\/13. Which is the closest to -1? (a) w (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/8))\/(l*(l*l**(-3\/20))\/l*l) assuming l is positive.\nAnswer: l**(-39\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*h**4 - 276.\nAnswer: 212*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*w - 9*w + 16*w - 5*w.\nAnswer: -82*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-7)*(-1001)\/2288.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 12\/(-14) + 1 + (-350018)\/(-266)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 13 - 19 = 0. Let j(f) = -f**3 + 29*f**2 + 101*f - 34. Calculate the remainder when j(s) is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4086 - -6546. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**3 + 17*l**2 + 10. Let g(w) = 6*w**3 + 18*w**2 + 9. Let r(n) = 5*g(n) - 4*x(n). Let z be r(-11). Solve -c = -z*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 3, -14 in decreasing order.\nAnswer: 3, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11933, -11898, -11845, -11774, -11685, -11578, -11453?\n\"Answer: 9*y**2 + 8*y - 11950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 226961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 5*z**2 + 8*z + 9. Let f be o(-6). Let l = -1.6 + 1.2. Which is the second biggest value? (a) l (b) 2\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/7)*v)**23)**(-6) assuming v is positive.\nAnswer: v**(-1656\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*p = 2, -5*p - 8 + 16 = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by 6.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - -6. Solve j - 5*j = p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/741 <= 1.64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7403.029 millennia?\nAnswer: 740302.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**4\/8 - j**3\/6 - j**2\/2 + 2. Let x(y) be the second derivative of c(y). Let q be x(1). Solve q*b - 5 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (44\/(-6)*48)\/(1 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-24) + ((-58)\/(-12) - -1). Suppose -9*c - 30 = 3*a - z*c, -a - 15 = 2*c. Let r(w) = -w**2 - 6*w - 1. What is r(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 3*g**2 + 4 + 3*g + 0*g**3 - 6*g - 2. Let m be 2 - 3 - (-6 + 3). Determine f(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2553)\/(-46)*(-4)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2300 - 3225330?\nAnswer: -3223030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 9:12 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 36 - 6)*(22 - 16 + 19)*(-2 + 2 - 1)*(-2*h + 0*h - 2*h).\nAnswer: 2300*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18046637 is divided by 125?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 6*j**2 + j - 7. Let r be ((-6)\/3 + 0)*2. Let y = r + 10. Let n be p(y). Let l(z) = -2*z**2 + z. Calculate l(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 21 + 379. Let v = j + -107. Calculate the remainder when v is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 - 12 = 0. Calculate the greatest common divisor of 55 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 19. Let d be k(13). Suppose 0 = -3*l - 2*o + 40, 4*l - d*o = -2*o + 20. What is the remainder when 18 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 60 = -2*l. Let i(j) = -j**2 - 12*j + 4. Let t be i(-10). What is the highest common factor of t and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + (sqrt(288) + 4)**2 + -5 + sqrt(2)*-4 - ((sqrt(24)*1 + sqrt(24))\/sqrt(3) + sqrt(8))\/(sqrt(324)*2).\nAnswer: 623*sqrt(2)\/6 + 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 596, 1029, 1180, 911, 84, -1439, -3796, -7125?\n\"Answer: -23*n**3 - 3*n**2 + 603*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 - 103*t**4 + 62*t**4 + t**3 + 51*t**4 + (-5*t + 4*t + 0*t)*(-t - 2*t**3 + t) in the form d*t**4 + m*t + b*t**3 + f*t**2 + r and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -9015.2?\nAnswer: -6310.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-4)*-16*(-5)\/100?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/5*(2625\/245)\/(33\/154).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (0 - (-2)\/4))*-274. Find the second derivative of 28*k + 154*k**4 - w*k**4 + 11*k - 5*k wrt k.\nAnswer: 204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.643 - -0.057. Let a = 835452871 - 835452866.30000077. Let b = a - k. Round b to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6205 bigger than -6205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9475934*-0.7\nAnswer: 6633153.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33681 - 33702.9746. Let m = 0.037 + -22.037. Let s = m - v. Round s to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, k: 2, e: 6, w: 2, t: 1}. Give prob of picking 1 w and 1 c.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2\/4 + 109721*t\/4 + 10496352 = 0.\nAnswer: -109337, -384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 13463672.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4399 = d - r + 4383, -5*r = 241*d - 658 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -30 + -6380 + 6431.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111012100 - -212?\nAnswer: 111020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-102)\/136)\/((-27)\/(-60)))\/(-22 - 1765\/30)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -72. Let x(l) = -4*l + 1. Let r be (-28)\/5 - 8\/20. Calculate the remainder when n is divided by x(r).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2906486, -5812992, -8719498?\n\"Answer: -2906506*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjjjyjjjjjjj. What is prob of picking 2 y and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3 - 700*u**2\/3 - 16274*u\/3 - 10540\/3 = 0. What is u?\nAnswer: -85, -31, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 238 - 82. Let q be d\/27 - 6\/(-27). Let i(h) = -2*h**2 + q*h**2 - 2*h**2. Let a(o) = -9*o. Determine a(i(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1033013 - -1011?\nAnswer: 1100030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -12*f**2 - 44. Let o(d) = 35*d**2 - d + 125. Determine -8*m(z) - 3*o(z).\nAnswer: -9*z**2 + 3*z - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4642 and 21153?\nAnswer: 8926566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 65*z**3\/2 - 28*z**2 - z. What is the units digit of k(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*g = -22*g - 8742. Calculate the remainder when 366 is divided by g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 7. What is j(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t + 2. Let i(y) = 65*y**2 - 42*y. What is i(s(d))?\nAnswer: 3185*d**2 - 1526*d + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c - 15415 - 160145 = 0. Round c to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-12)\/(-50)*5*25\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 295 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b - 20*b = -121*b + 375 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 95875670 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/49 and -91\/20?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3845.29 - 3824. What is p rounded to one decimal place?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*b - 2*x + 8, 0 = -4*b + 3*x + 23 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 4 + 1 - 6 - 2*v**2 in the form c*v + d*v**2 + f and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 12 = -w + 5*b, 3*w - 3*b - 24 = 0. Let r(i) = -i. Let j(n) = -8*n - 1. Let h(c) = -j(c) - r(c). List the prime factors of h(w).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -35cfc9?\nAnswer: 35cfc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -a + 5*a - 4*k, 0 = 4*a - 5*k - 33. Suppose 0 = -0*i - 3*i + a. Suppose x - 1 = 2*z, 0*z - 4*x + 4 = i*z. Solve z = -3*q + 2 - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 660 - 3?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*y - 3 = 9, 0 = -4*b - 3*y + 22. Solve -b*w = 10 + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 7*p - 56. Suppose -2*g = -8 - p. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708 is divided by 70.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*b + 194*b - 16 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 344966585 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 2\/15 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 45 = -5*g, 9*g + 30 = -3*l + 6*g. Which is the second smallest value? (a) 2\/19 (b) -4 (c) -0.2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 59. Suppose -3*z - 2*y + 26 = -0*y, -4*z - 2*y = -r. What is the remainder when 11 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - -233?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**5\/20 + h**3\/6 - 5*h**2\/2 - 2*h. Let l(j) = -j - 3. Let y be l(-3). Determine p(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90881 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: What is prob of picking 2 g, 1 n, and 1 t when four letters picked without replacement from ynctgttytg?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arzbrnrzrb. Give prob of picking 2 z.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -69, -56, -27, 24, 103?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 58\/9, 3\/4, 5, -22, -2 in descending order.\nAnswer: 58\/9, 5, 3\/4, -1, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x**3\/13 - 7136*x**2\/13 - 2374*x\/13 + 4756\/13 = 0 for x.\nAnswer: -1189, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3840341?\nAnswer: 37, 271, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -33715 divided by -2024\nAnswer: 3065\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 90, 105, 126, 153, 186?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (39 - 38)\/(1\/(1 - 2)). Let d = 7.3 + -7. Let u = d - 0.6. Put j, u, 1\/7 in increasing order.\nAnswer: j, u, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzyz when four letters picked without replacement from etetzttmyztttt.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.3 + 5. Let s = -309.5065 + 308.5. Let y = s - -0.0065. Put j, -0.5, y in descending order.\nAnswer: j, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -17. Let d = -47\/2 + b. Let c be (-1)\/(11*(-3)\/6). What is the smallest value in -0.1, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326469?\nAnswer: 3, 11, 13, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.83304 centuries to decades.\nAnswer: 228.3304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*((sqrt(756)*1)\/sqrt(12) - (2*sqrt(252))\/sqrt(4))\/(sqrt(72)\/sqrt(2) - (sqrt(72)*1)\/sqrt(8)).\nAnswer: -3*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-148 + (-4)\/2). Let z = -1 - -3. Suppose -c = -z*v + 49. Round v to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 + 346*r**3 + 3*r**2 + 2 + 1 - 346*r**3 to p + b*r + y*r**3 + k*r**4 + j*r**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/((-1)\/(-10)). Suppose -y*i + 85 = -i - 3*n, -44 = -2*i + 2*n. Suppose q - i = -5. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -55.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*m**4 + 11*m**2 + 17*m wrt m.\nAnswer: 360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j. Let z(b) = b**2 - 17*b. Let n(h) = -34*a(h) + 6*z(h). Let f(d) = 4 - 2013*d - 4 + 1994*d. Give f(n(m)).\nAnswer: -114*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3860*j + 48 - 3859*j - 47. Let v(d) = d. What is -6*p(t) + 3*v(t)?\nAnswer: -3*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 1521 = 5*b - 3*c, -5*c = 4*b + 3045. Let x = b + 758. Let v(l) = -l - 15. Determine v(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (87\/(-145))\/(2\/(-1 + -2389)) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4 + 218*a**3 - 17341*a**2 + 595140*a - 7452900 = 0.\nAnswer: 39, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/135 and 49\/24?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125506*d**3 + d**2 - 14*d + 8989004.\nAnswer: 376518*d**2 + 2*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 4 (b) 0.3 (c) 238\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/b**(1\/4))\/((b\/b**(-7))\/b)*(b**(-2)\/b*b)**(3\/26) assuming b is positive.\nAnswer: b**(-233\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -12 - 12 + 3*i**2 + 7 - 4*i**2. Let z be d(0). Let j = z + 157. Calculate the greatest common divisor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**2 + 23*a - 4. Calculate u(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.55 - 14.55483. What is u rounded to four dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -61534*f. Let z(c) = -156*c + 1. What is r(z(l))?\nAnswer: 9599304*l - 61534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (12\/(-5))\/((-328)\/193110)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5470*z + 8. Let w(t) = 8390987*t + 12276. Give -3069*d(v) + 2*w(v).\nAnswer: -5456*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.05722+-1\nAnswer: -0.94278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x**2 - 11*x + 31*x - 20*x.\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*b + 27 = -9*n - 19*b, 0 = 35*n + 19*n - 0*b + 4*b - 154 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n - 5440 = 125*n + 67*n for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, 181, 167, -99.\nAnswer: -99, -16, -1, 167, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116863.\nAnswer: 23, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bd (base 14) to base 6.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s**3 + 5*s**2 - s + 5. Let c(g) = 6*g**3 + 2*g**2 - g + 2. Let d(u) = -5*c(u) + 2*m(u). What is the second derivative of d(f) wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133\/4 + 33. Let z = -5 + 6. Let u = z - -1. Which is the third smallest value? (a) -0.4 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 1. Let i(l) = l**2 - 2*l - 3. Let g(q) = -3*q + 64. Let t be g(21). What is t*i(r) - 2*s(r)?\nAnswer: r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 2\/5*v**5 + 2*v**3 + 0*v**2 + 0 - 164*v + 25\/6*v**4. Factor r(t).\nAnswer: 2*t*(t + 6)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -1333?\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 + 3*w**5 + 2*w**5 - 3*w**5 - 2*w**5 + 4*w**5 + (1 - 1 + 2*w**2)*(-6*w**3 + 3*w**3 + w**3).\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5) + 2)**2 + (sqrt(720))**2 - (2 + 1 + sqrt(605) + sqrt(605)).\nAnswer: -14*sqrt(5) + 741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 8\/5 (c) 135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1600) + (sqrt(1600) - 1*sqrt(1600)))\/sqrt(5))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 43221\/11, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009273 rounded to five dps?\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -36978480163.2?\nAnswer: 36978480162.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10286492 divided by -127\nAnswer: -80996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5085 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 133001 = -0*n - n, 398991 = 3*n - f. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1124506220 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 231\/4 + -58. What is the closest to -1 in a, -3\/4, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**4\/4 + d**3\/3 + 2*d**2 - 3*d - 2. Let y be 0\/(-1) - 4\/(-2). Let f be (-3 - (-3 + y)) + 4. Give j(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(10\/3)*d)\/(d\/d**(1\/43)) assuming d is positive.\nAnswer: d**(691\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -b72c4?\nAnswer: b72ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1 + y + 3 + 0. Suppose -4*i + 3*l - 25 + 16 = 0, 14 = -4*i - 2*l. Let s(z) = z + 7. What is i*s(f) + 5*x(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 17605\/424 and 41 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/((-59400)\/(-36)))\/((-1)\/(-6))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19138506.54183 + 0.5?\nAnswer: 19138507.04183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s = -38*s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16248245 is divided by 826.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = p + 3*d + 8, 53 = -p + d. Let y be (-5 - p\/6)\/(2\/6). Solve -4*n + y + 1 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2648 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225733519 or -225733526?\nAnswer: -225733526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 60) + (3785 - 3773).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2453*s + 77 + 1830*s - 75.\nAnswer: 4283*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -6, 0, -1\/2, -1\/778.\nAnswer: -6, -1\/2, -1\/778, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5561299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064 divided by 1?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(-2)\/i))**(9\/10))**(5\/7))**31 assuming i is positive.\nAnswer: i**(558\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4986 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1637888\/9 or 181987?\nAnswer: 1637888\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 7:53 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17211263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*h**5 - 16 - 4*h**3 + 54 + h**2 - 15 - 21 wrt h.\nAnswer: -600*h**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.5 (b) 32\/7 (c) -18 (d) -4 (e) 2\/15 (f) -48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -186, -403, -634, -885, -1162, -1471?\n\"Answer: -m**3 - m**2 - 207*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-899660.\nAnswer: -359864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*j**2 - 349*j**2 + 164*j**2.\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.112, -44\/25?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 7 = -3*y, 2*y + 16 = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 1, m: 3, w: 4, u: 1}. Give prob of sequence wm.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 5*b**2 + 81*b - 37. Let d be c(11). Suppose -7*g - d = -1178. What is the third biggest value in g, -3\/2, -1\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + t = -1450, -161 + 1605 = 3*m - 4*t. Let j = -470 + m. Solve 3*w + j = -r, 2*w + 17 - 2 = 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 3)*(-3*n**3 - 2*n**3 + 4*n**3) + 2*n**3 + 2*n**3 + n**3 as l*n**3 + s*n + v + d*n**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {i: 1, p: 2, y: 4, c: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 895.1 * 2.\nAnswer: 1790.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6236 = h, 0 = 2*a - 3*a + h + 1248. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 - 1 + 2)*(-s**2 + 0*s**2 + 0*s**2) + s**2 + 0*s**2 + 0*s**2)*(-4*s + 5*s + s) to the form m*s**3 + d*s**2 + l + q*s and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-980)\/(-784)*(-4752)\/(-60).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11708*i - 11100*i + 35910*i + 5288*i.\nAnswer: 41806*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + -5 + 2*sqrt(76)) - -6*(6*(sqrt(76) + 0) - (-3 + 1 + sqrt(76))))**2*5.\nAnswer: 12320*sqrt(19) + 300340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 362b81 (base 15) to base 12\nAnswer: a4b671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -19*c - 20. Let t be f(-4). Suppose -3*v - 5*g = -124 + 93, 2*g = -5*v + 39. Calculate the highest common factor of v and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*t**2 - 1)*((-3 + 4 + 1)*(1207*t - 26 + 26) + 0*t + 2*t + 2*t).\nAnswer: -4836*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 0*n**2 - 3*n**2)*(4*n**3 - 4*n**3 - n**3) - 113*n**5 + 165*n**3 + 330*n**5 - 111*n**5 - 109*n**5.\nAnswer: -n**5 + 165*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/9, 1, -759?\nAnswer: -759","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 - -103. Suppose z*v - 544 - 616 = 0. Let s = -150 + v. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h + h**3 + 4 - 2 - 5 - 8*h**2. Let x be c(7). Let r = -5 - x. Let f(z) = z**3 + 2. Calculate f(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70 - 73 - 34\/(-6))*-3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f. Let k(o) = -9*o + 30. What is k(u(b))?\nAnswer: 18*b + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 54, 41, 22, -3, -34, -71?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x - 136*x**2 + 3*x - 8*x - 141*x**2 to l*x**2 + m + n*x and give l.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 308091.3 decades in years?\nAnswer: 3080913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 45.1. Let s = 2 - h. Let l = -188\/609 - -2\/87. Which is the closest to s? (a) 0.06 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 h when four letters picked without replacement from {w: 5, k: 3, h: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -928*w**2 + 8568*w - 1927. What is d(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19, -30, -45, -64, -87, -114?\n\"Answer: -2*l**2 - 5*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1927 + 71*x**2 - 99 - 4*x**2 - 4*x**3 + 75*x**2 - x**3 wrt x.\nAnswer: -15*x**2 + 284*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 27 = 5*r, 5*r + 0*r - 22 = -3*y. Suppose 3*o = 2*o - 4, -r*d + o = -4599. Suppose -2*x - 3*b + d = 0, 2*x - b - 1406 = -x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39 + -13?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.445322 millennia to years.\nAnswer: 9445.322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -35. Suppose 2*v + z = 1, 5*v + 6 = n*z + 3. Suppose k - o - 78 = v, 4*o = -7*k + 4*k + 255. What is the greatest common factor of 54 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*7\/(-2562))\/((-8)\/96*3)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*r - 2, 89*i + 123 - 48 = -r - 286 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*0.42521.\nAnswer: -4.2521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 34.5416 seconds?\nAnswer: 34541600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/9 - (-3 + ((-1095)\/135 - -11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 39\/(-117) + (-1754)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 64*s**2 + 247*s + 120. Does 61 divide x(63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-2) - -11)*(0 - -1). Suppose 7*c - w*c + 312 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 811966 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1822 - 1819. What is the third smallest value in 1\/4, 0, l, -4\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxisdx. What is prob of sequence dx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1112291.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114)*3)*-5 - sqrt(114))\/((3*sqrt(72))\/sqrt(12)).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1735*s**2*z**2 + 113207*s**2*z - s**2 - 84231*s*z**3 + s*z + 3*s + 35*z - 3 wrt z.\nAnswer: -3470*s**2 - 505386*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/30 - (-280)\/200. Which is the closest to -3? (a) 1\/4 (b) 2\/13 (c) -0.4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5054 + 283 = 3*t. Suppose 0 = -0*j + 3*j - t. Suppose -4*z + 2*v + 2744 = 0, 2*z = 4*v - j + 1971. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m - 1. Let k be u(-4). Suppose -k = -2*r + 69. Suppose i + i = r. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**5\/20 + 2*n**3\/3 - 12*n**2. Let m(u) = -2*u**2 + 3. Let t(g) = 4*m(g) - 3*y(g). Let o(j) = 4*j**2. Give o(t(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f**3*w**3 - 289390*f**3*w - 3*f**3 + 2*f**2 - f*w**3 - 19*f - 997*w wrt f?\nAnswer: -42*w**3 - 1736340*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280 and 7.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 7*u + r - 20, 0 = -5*u - 4*r + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q - 27. Let u be b(8). Suppose 5*w = 6*j - 2*j - 6, -3*w - 4*j + 22 = 0. What is the highest common divisor of w and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7790 - 2584 + 15*l - 2605 + 12*l - 2610.\nAnswer: 27*l - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a day in minutes?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**4 + 155*z**3 - 690*z**2 + 1060*z - 520 = 0.\nAnswer: 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40417 - 20419. Suppose -s = -l - v, l - 4*s + 8226 + 11766 = 0. What is l rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o + 224 = 0. What is the greatest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17461.36726 to the nearest 100.\nAnswer: 17500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(110))\/sqrt(10) + -4 + -2.\nAnswer: -6 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - l + 2. Let v be h(0). Suppose 5*j - 26 = -15*m + 11*m, -3*j + 4*m - 10 = 0. Solve -x + 3*b - 3 = j*b, 0 = -v*b - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, -41\/9, -3, 2, 140, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 5*v**4\/4 - 2651*v. Let j(u) = -217*u**2. Give j(r(s)).\nAnswer: -48825*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44163442?\nAnswer: 2, 22081721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 11. Let t = 26 - 22. Which is the second smallest value? (a) h (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 409 (b) -4 (c) 3 (d) -3 (e) 1\/2 (f) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((3 + -5)\/2). Let s = -24.88 + 24.94. Sort 0.3, y, s, 2.\nAnswer: s, 0.3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b - 2. Let d(u) = -1415*u**2 - 9*u + 9. Let t(k) = d(k) + 4*v(k). Find the second derivative of t(x) wrt x.\nAnswer: -2830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9186*r + 1. Let q(c) = -c**2. Give b(q(p)).\nAnswer: 9186*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 165369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - 5) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(125)*1 - (3 + 0 + sqrt(125)) - (-4 + (sqrt(125)*-2 - sqrt(125)) - (-2 + -2*sqrt(125))))**2.\nAnswer: -20*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.907794 rounded to two decimal places?\nAnswer: -1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 10 = -4*l - m, 5*l - m - 9 = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -8.\nAnswer: -8, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = -8. Suppose 15 = z + r. Calculate the remainder when 139\/3 - -1 - 70\/210 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 3, 0.\nAnswer: -93, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4\/13)\/(c**(-4)\/c)*(c*c**22)**(-27) assuming c is positive.\nAnswer: c**(-8012\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**3 + 1. Let t be q(-1). Suppose 2*u = 3*u. Let o(x) = 5 + u*x - 4*x + 2*x**2 + 0*x**2. Let d(h) = 2*h**2 - 5*h + 6. What is t*o(r) - 5*d(r)?\nAnswer: 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -11*i - 4. Let d = 1\/31118 - -38896\/46677. Let f(t) be the second derivative of 0 + t**2 + 12*t + d*t**3. What is 9*f(k) + 4*g(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10*r - 26. Let m(g) = 21*g - 53. Let d(i) = -3*m(i) + 7*n(i). What is the derivative of d(y) wrt y?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*p - 4. Suppose p*u - 664 = 1124. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 3. Let a be d(0). Let w = 0.23 - -0.29. Let l = w - 0.02. Sort a, -2\/3, l in ascending order.\nAnswer: a, -2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9593 - 9587. Suppose -3*f = -4*f + 3*d + 18, 28 = 2*f - 4*d. Solve -3*c - 7 + f = -o, -4*o = -2*c + u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23781 (b) -2\/161 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*z - 226, -5*z - 175 - 45 = -5*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 3*t**2 - t. Let c be s(-3). Let n(a) be the second derivative of a**5\/10 - a**4\/6 - a**3\/2 + a**2\/2 + a. Is n(c) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.087 times -1.698078?\nAnswer: 0.147732786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkks when four letters picked without replacement from {o: 7, s: 6, k: 6}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -351, -18\/5, 0.9, -1, 5, -0.16 in ascending order.\nAnswer: -351, -18\/5, -1, -0.16, 0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -6. Suppose -4*p + 5*k + b = -0, 2*p = -k + 6. What is the lowest common multiple of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001025001133 to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 5*b - 2*d + 10, -2*b = 13*b - b + 3*d - 29 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -97760 divided by -86?\nAnswer: 48880\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 4. Let l(m) = -m**2 - 5*m - 10. Let x = -174 + 168. Let t(s) = x*l(s) - 15*v(s). Determine t(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 3:00 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*i - 2. Let u be 105\/10*(-2)\/i. Let -6*g**2 - u*g + 2*g**2 + 5*g - 2*g**3 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-10)*16\/44.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(80\/(-3))*4\/18?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109119 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5811236551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*k + 32 = 0, -402*k = u - 403*k - 14. Factor 4\/19 - 2\/19*c**5 + 14\/19*c - 4\/19*c**4 + 16\/19*c**u + 4\/19*c**3.\nAnswer: -2*(c - 2)*(c + 1)**4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0751732 plus 491459?\nAnswer: 491456.9248268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12.54419+-0.0308\nAnswer: 12.51339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106506.\nAnswer: 2, 553253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(44\/(-33)*(0 - 2\/6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83)\/(5146\/124)*(4\/6)\/(2\/51).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 + 86. Let h = y - -168. List the prime factors of h.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15*(3\/3)\/3. Let a be (k\/((-10)\/(-12)))\/2. Suppose -7*u + 60 = -u. Solve -a*o - 9 = -4*h, 5*o = 3*h + 2*h - u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 562 and 1995441696.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407*s - 570193138 = -435*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 42 + 17)*(-z + 4*z - 5*z) + 2*z - z - 2*z in the form n + f*z and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 12 = -5*g + 17, -p - 24 = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 1\/15*l**5 + 1\/6*l**3 + 0*l + 1\/6*l**4 + 1\/120*l**6 + 0 + l**2. Let u be r(-3). Put 3, u, 0, 5 in descending order.\nAnswer: 5, 3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -242160*s**2 + 1398*s + 10. Let d(g) = 484312*g**2 - 2797*g - 22. Let h(x) = -6*d(x) - 13*o(x). Factor h(n).\nAnswer: 2*(348*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 f when three letters picked without replacement from zzzzzzzzzffzfz?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-287)\/336*-12)\/((-17)\/2856*14).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1311 + 1313. Solve u*i - 20*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.91641 rounded to 3 decimal places?\nAnswer: -2.916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*v**4 + 10*v**4 - 6*v**4 + 24*v + 13*v**4 - 2*v**4 + 3*v**3 + 1 in the form h + l*v**4 + o*v**3 + j*v + p*v**2 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1204464, -1204270, -1204064, -1203840, -1203592, -1203314, -1203000, -1202644?\nAnswer: -1202240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1971 take away -158439174620?\nAnswer: 158439172649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42432 (base 5) to base 2.\nAnswer: 101100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 9, -2 in decreasing order.\nAnswer: 9, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - (3*sqrt(1029) + sqrt(1029) - sqrt(1029)))\/((sqrt(300) - -3*sqrt(300)) + sqrt(3)))**2 - (-1 + -1*1*1*sqrt(175)).\nAnswer: 4481\/1681 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 146, 205, 262, 317, 370?\n\"Answer: -j**2 + 62*j + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.65 - -0.05. Let m = w - 1. What is the nearest to 1\/4 in m, -3\/7, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, o: 1, d: 7, n: 3, c: 1}. What is prob of sequence co?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 2*t**2 - 3*t - 3 + 25*t**2. What is the remainder when u(-2) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -4, -14, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaaaaaaaaaaaaaaaaua?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(0*y**3 + 5*y**3 - y**3).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**2 + 6*k**2 + 6*k + 5*k + 3 + k**3 - 12. Let h be z(-12). Solve -q = h*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6406?\nAnswer: 2, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/273 + 4\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 32*t**2 - 12*t. Let c(f) = -f**2 + f. Calculate 12*c(y) + p(y).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3*b**2 + 31. Let k(s) = 2*s**3 + 4*s**2 - 30. Determine 3*g(n) + 2*k(n).\nAnswer: n**3 - n**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g + 8*g + 57*g**3 - 62*g**3.\nAnswer: -5*g**3 + 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 26 = c + 28 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-4))\/((-3)\/(-804)). Suppose 2*l = 4*i + 6*l - h, 0 = 2*i + 4*l - 262. List the prime factors of i.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-12)\/1) - (-585)\/(-180)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42770 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**8\/5040 - i**7\/2520 - i**3\/2 + 4*i**2. Let l(s) be the first derivative of t(s). Determine a, given that l(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -3.98. Let r = 0.1 + 0.3. Let g = -1.4 + r. Does g = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 45 = 3*c. Suppose 3011 + 1004 = 3*f + 2*y, c*f - 6695 = -4*y. What are the prime factors of f?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366884640 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -76. Suppose -10 = -2*w + 2*o + 10, 0 = w + 4*o + y. Solve 28 = -7*u - w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-217 + 23 - 362 - 74)*(3*o**2 + o**2 - 24*o**2).\nAnswer: 12600*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152000*f = -151942*f - 1624 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/4)\/(q\/(q\/(q\/((q*q\/(q**(2\/3)*q*q))\/q)))*q*q))\/(q\/(q*(q**(-2\/9)\/q)\/q)*q**(9\/2)) assuming q is positive.\nAnswer: q**(-365\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 49*z - 333. Let i be d(-8). Put i, -4, 7, 0 in descending order.\nAnswer: 7, 0, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3387 is divided by 308?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -267 in -2\/13, 17\/3, 1\/11, -0.2, 3\/2, 4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11582715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -665 + 666. Solve d = -2*y + 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 230527125?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 233.1 + -233. Let u be (1\/4)\/((-1521)\/130 - -12). What is the second smallest value in q, u, -43, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 10:21 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c + 10 = 51*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*x + 27*x + 20*x)*(x - 2*x - x) + 0 - 2*x**2 + 0 + (x + 4 - 4)*(-2*x - 4 + 4) + 7*x**2 - 2*x**2 - 3*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from vvvdvvddvvvvvdvd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 292e - -3?\nAnswer: 2932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/473258 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1988 + 0.1245. Let z = y - -0.1743. Which is the second biggest value? (a) 10 (b) z (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435 (base 6) to base 9.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2431 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 27*v + 119 + 10 + 346 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134532827 not equal to 134532828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s - 180. Let y = s - 9. Calculate the highest common divisor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -132*((-4914)\/(-108))\/91?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 3*y**3 + y - y**2 + 4*y. Let l(n) = -n**3 - 2*n - 1. Let u be l(-1). Let d be k(u). What is the greatest common factor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-224)*4\/(33*4).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -146, 8 in increasing order.\nAnswer: -146, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.694277mm to kilometers.\nAnswer: 0.000007694277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 = 1, 5*p + 5*v = 35. Suppose 36 + 111 = p*c. Calculate the remainder when c is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 0*l - l)*(-31*l + 31*l - 7*l**2) + (9*l - 13 + 13)*(-l**2 + 0*l**2 + 4*l**2) to the form h*l + c*l**2 + y*l**3 + m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 + 3*n**2 + n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**3 + 14164*b**2 - 13781900*b + 2143497500 = 0.\nAnswer: 191, 1675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**4 + j**3 + j**2 + j - 1. Let z(i) = 31*i**4 - 4*i**3 - 4*i**2 - 35*i + 4. Let h(m) = -4*p(m) - z(m). Find the second derivative of h(l) wrt l.\nAnswer: -324*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/7 + 2267448*d\/7 - 321332527044\/7.\nAnswer: -4*(d - 283431)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 311*y**2 + 3906 - 485*y**2 + 177*y**2 to the form p*y**2 + i + f*y and give i.\nAnswer: 3906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 941763 = 5*w, 1125*x = -4*w + 1127*x + 753388. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27507 and 12.\nAnswer: 110028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 - 1*(16 - 25). Solve b*o - 1 + 15 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -112. Suppose 5*l + 17 = 3*b - 78, 0 = -3*b + 3*l + 93. Suppose 2*y - 4*y = -b. What is the remainder when o is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8020\/(-7218))\/(((-12)\/(-135))\/4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2714 - 2713.9. Let x = 0.9 - 0.9. Let y = x + -1. Which is the nearest to 0? (a) y (b) -3\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-18))\/(-1)*6\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 - k - 2. Let t(d) = -37*d**2 + 2*d + 4. Let b(z) = 2*c(z) + t(z). Let j(v) = 95*v**2. Give b(j(p)).\nAnswer: -261725*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2579 + 3.5579. Which is the second biggest value? (a) l (b) -0.5 (c) -4 (d) -3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9237 is divided by 136.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 122362368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2500, -5, 3 in decreasing order.\nAnswer: 3, -5, -2500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (333*b**3 - 333*b**3 + 23*b**5)*(2 - 1 + 3)*(2 + 1 - 2)*(0 + 4 - 2).\nAnswer: 184*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 7*w**2 - 7*w + 9. Let a be d(6). Let k be (-10)\/(-6) + a + -4. Factor 2\/3*s**2 - k*s**4 - 1\/3*s + 0 + 1\/3*s**5 + 0*s**3.\nAnswer: s*(s - 1)**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b**(-16)\/b*b)\/b)\/b*b*b*b)*b*b*b**(-24)*b)**(-3\/32) assuming b is positive.\nAnswer: b**(15\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 20 = -4*d. Suppose 3*q + 20 = -2*q + d*t, -4*q + 5*t = 25. Let a be 4*3 + (q - 1). What is the highest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - 4 + 2 + 3)*(-3721 + 140*d + 3721) to the form o*d + s + i*d**2 and give o.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(375) - (sqrt(375) - sqrt(375)*-5))\/((sqrt(175)\/sqrt(5))\/sqrt(7)))**2 + -4.\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*x + 4*w + 13, 4*w = 4. Let b = -23 - -38. Calculate the remainder when b is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-25)\/(-18))*10\/3. Let x = r + -7. Suppose -3*b + 17 = 5*a - 0*b, -x*a + b = -21. Solve -m + a + 0 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:48 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**4\/2 - 219155*g**3\/2 - 2191135*g**2\/2 - 3724825*g\/2 - 876420 = 0.\nAnswer: -43821, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 235 + 90 = 0. Let h = 4 - g. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6 and -26\/7225.\nAnswer: 43350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 3:38 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30589753.\nAnswer: 19, 283, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 18. Let a be -8*3\/(n\/(-15)). Calculate the highest common factor of a and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = -5*f, -f = -3*h - 0*f - 2. Let j be 3\/h*(0 - -1). Let c be -5 + (-1)\/j*3. Sort 5, -1, c.\nAnswer: c, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -526 (base 7) to base 2\nAnswer: -100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012202122021 (base 3) in base 4?\nAnswer: 2131130212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*h**(-2\/45)))\/h*h\/(h\/h**(-5)))\/(h\/(h*h**2)*h**17) assuming h is positive.\nAnswer: h**(-1033\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 13, b: 3}. What is prob of sequence bhbh?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -86955 divided by -561\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/53? (a) -1\/10 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 9 (b) 5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 3*h - 4. Give y(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4\/t)\/t)**(-1\/17)*(t**(-3))**(2\/99) assuming t is positive.\nAnswer: t**(-100\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 3, -4, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 645 divide 3688978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 869 + -7832\/9. Find the common denominator of -3\/4 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/9 (b) 2\/15 (c) 0.3 (d) -0.14 (e) -4\/3 (f) -28\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 8*x**2 - 12*x + 2. Let f be d(6). Suppose m - 7 = -4. Suppose 0 = f*h + 3*v + 160, 131 = -m*h - 3*v - 109. Is h > -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*g + 5*f, 2*g = -5*f - 4 - 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fktzffwtwt. What is prob of sequence fkzt?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142438 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 + f - 3. Let r(x) = x**3 - 7*x**2 + 5*x + 5. Let i be r(6). Let c be 1 + i + 2 - -2. Let o be b(c). Are o and 1\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023458 rounded to 7 dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*r = -r + 5792 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 6544*l + 39298. What is w(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1084*w - 191. What is the hundreds digit of h(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*m*o**4 + 12*m*o**2 + 3*m*o wrt o.\nAnswer: 2784*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**3 - 5*y**3 + 0*y**3)*(-3*y + y + y) + 566*y**4 + 3*y + 4*y - 7*y to d*y**4 + h*y + k*y**2 + o*y**3 + m and give d.\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -22*y - 3*y**2 + 2*y**2 - 100 + 130. Let p be z(-23). Suppose -2*c - 3*m = 8, c = 6*c - 5*m - 30. Solve 1 = t + u - c, -p = -2*t - 3*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, -1\/5, 0.7, -88, -224 in descending order.\nAnswer: 0.7, -0.1, -1\/5, -4, -88, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 1, k: 3, u: 3, l: 3, b: 2}. Give prob of sequence ku.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 60*q + 813. Give u(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000152386 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -15571.88 to the nearest 10.\nAnswer: -15570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95757191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + s + 94 = 0, 0 = 3*r - 5*s + 13 + 21. Let v be (-24)\/r*(-3)\/10. Which is the smallest value? (a) -3 (b) -2\/7 (c) v (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -2269 + 2269.4. Suppose -3*o + 55 = -4*m, 3*o + 8 = -5*m - 27. Which is the fourth smallest value? (a) -2\/7 (b) 2\/15 (c) m (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*a**3*d**2 + 124*a**3 + 22*a**2*d**2*k**2 + 2*a*k**2 wrt d?\nAnswer: -48*a**3*d + 44*a**2*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2110, -1021, -9388, -22985, -41806, -65845?\nAnswer: -95096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 31, 1, 2 in ascending order.\nAnswer: 1, 2, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.5603 - 27.78. What is c rounded to 3 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 1504, 0, 4, -0.11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159319367 to the power of 1\/3, to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(320) + -2 - (sqrt(320) + 0 + 2 - sqrt(320)))**2.\nAnswer: -16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100011010101100 (base 2) in base 13?\nAnswer: 1a1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-11) - (-48)\/22. Let o = 9 + m. Suppose o = 2*w - 5. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*n = 616*n - 123*n + 21420 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 3 = 3*k. Suppose 2*u - 10*u - 16 = 0. Let j be ((-8)\/3 - u)*360\/(-16). Solve -k*i - 3*l = -18, 0*i = -i - 3*l + j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + -71. Suppose -40 - 290 = -l*r. Solve 13 - r = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 27 + 20 - 1983*d.\nAnswer: -1983*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3850.197 weeks?\nAnswer: 2328599145600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 12. Let h(r) = -1103*r - 1105. Let a(g) = h(g) - 5*l(g). What is the derivative of a(i) wrt i?\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 29*b**3.\nAnswer: 29*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 68*t**3 + 148*t**2 - 76*t.\nAnswer: -4*t*(t - 1)**2*(t + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75.9 - 89. Let l = a + 13. What is the closest to l in 5, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*-2734 - 3. What is z rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3739 + -3732. Solve 4*i = h*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6548 is divided by 177?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38667 is divided by 19287.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 28*i**3 - 1. Let h be q(1). Let m = -90 - -69. Let k = h + m. Solve k*d = 2*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 0.6\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 28 = 2*s, -j + 31 = s - 4*s. Let m = s - -37. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2619 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = 8*l - 4*l. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131 by 4.\nAnswer: 131\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*s - i, 3*i - 4561 = -s - 4569 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 216 + 684 = 0. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/5*x**3 + 0*x - 6\/5*x**2.\nAnswer: 3*x**2*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhs when three letters picked without replacement from {s: 4, h: 3, b: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*k - 67, -4*m + 3*k + 112 = 2*k. Suppose m - 6 = 5*c - g, 3*g - 6 = 0. Calculate the least common multiple of 1 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 78. Calculate the least common multiple of h(-19) and 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/7)*u*u*u*u**(1\/5)*u)\/((u*u**(4\/5))\/(u*u**2)) assuming u is positive.\nAnswer: u**(219\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-12))**(1\/22) assuming b is positive.\nAnswer: b**(13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 3*l. Let f = -4 - l. Put 0, f, -3 in descending order.\nAnswer: 0, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44.5 + 21.6. Let h = q - -24. Let t = h + -2.1. What is the closest to t in 1, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.44 and -16775012978?\nAnswer: 16775012977.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**4\/4 + 4*v**3\/3 + 3*v + 4. Give t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(684) - sqrt(304)*4)*-2 - (sqrt(114)*1*-3)\/(-1*sqrt(864)))*-6)**2.\nAnswer: 5236875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 825794.46 times 0.4\nAnswer: 330317.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 77 = -0*t - 3*l, -3*l - 397 = -5*t. Suppose 0 = -12*o + 2*o + t. Suppose -o = -3*h + 109. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 63.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 17*i - 5. Let v be c(4). Suppose 4*a - 37 + 1 = 0. Calculate the greatest common divisor of a and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 82 + 483*h**2 + 495*h**2.\nAnswer: 978*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 15*s**3 - 2*s**2 + 18*s**3.\nAnswer: 32*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 8\/17 (b) 1\/5 (c) -0.3 (d) 20 (e) 0.5 (f) 0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-50))\/((-33)\/165).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 6:21 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 274 + -354.5. Let z = m - -15.5. Let o = 64.969 + z. What is o rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - x**2 + 3*x + 2. Suppose 0*w = w - 7*w. Let y be d(w). Let i = -5 + 2. Sort i, 4, y, 5.\nAnswer: i, y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**3 + 1163*p - 295.\nAnswer: -6*p**2 + 1163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -650, -975?\nAnswer: -1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-14 - -20)) + 8 + -15 + -4 + 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w + 40761 = 46*w. What are the prime factors of w?\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2487.754 and 0.3.\nAnswer: -746.3262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 + 0*m**3 - 5*m**3 + (-m**2 - 5*m + 5*m)*(3*m + 2*m - 4*m))*(-3 + 0 - 1 + (-3 + 3 - 1)*(2 + 4 - 4) + 3 - 5 + 0).\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 5*b + 10. Let c be 1\/b*0 - -3. Solve -2*k - 3 = -g - 4*g, 0 = -5*k - c*g - 23 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5 (b) -0.3 (c) 0.18 (d) 0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*w + 2 - 18*w - 1 - 13*w**2 as c + t*w**2 + u*w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, k: 2, d: 1, b: 1, h: 3}. What is prob of sequence da?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(1377) - (sqrt(1377) + -1)*-5) + (sqrt(1377) - (0 + 0 + sqrt(1377))) + -3)*-2 + -2)**2 + -2.\nAnswer: -4104*sqrt(17) + 198647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 243*s - 13*s + 304*s in the form q + x*s and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -5 + (-8 - (11 - 16)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46326584*y**5 + y**2 + 5*y + 53781?\nAnswer: -2779595040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -32.134. Round j to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1094*d + 14227. Let a be z(13). Solve -a*u + j = -33, -3*u = 8*j - 11*j - 27 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 2*y**3\/3 - 5. Let w(n) = -8*n. Calculate u(w(p)).\nAnswer: 128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-279)\/(-57) - 20*11\/44?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2041*h + 5*n = 2046*h, -5*h - 2 = 4*n - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-9 - -6 - -3) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 86701982\nAnswer: 5\/86701982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3803*u - 2. Let b(n) = 3512*n + 2. Let p(d) = 5*b(d) + 4*q(d). Let i(x) = -4*x**2. Determine p(i(m)).\nAnswer: -9392*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 6250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 74725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 97755360429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqqdqqqqqqqq. What is prob of picking 2 q?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9108466843.\nAnswer: 7, 3559, 365611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214.1498 - 214. Round h to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -340*y**2 - 4*y. Let x be d(4). Let n = x + 87327\/16. Find the common denominator of n and -115\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -493 + 495. Suppose 2*l - 63 = -5*d, -6 = d + g*l - 17. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 27*w - 54*w + 360 = -390 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017751 to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -3*r**5\/5 + 7*r**4\/4 - 2*r**2 + 101. Factor m(h).\nAnswer: -h*(h - 2)*(h - 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49\/468 + 1\/36. Let o = 16\/39 + x. What is the third smallest value in 24, o, 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1974.62g?\nAnswer: 1974620000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 925 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Let d be 30\/(-40) + (-6)\/(-8). Solve 0 = -4*u - k - d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -39. Let j = -0.1 - -1.1. Is j at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c + 10. Is c\/(-39) + (-8301)\/(-39) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/5063 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -647? (a) 2\/3 (b) -108 (c) -2 (d) 21 (e) 0.2 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14937)\/481 + (-341)\/(-11))\/(2*3\/9)?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1\/5, 4, -0.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 5*k**3 - 8*k**4 + 0*k**4)*(3 - k - 3 + (-k - 7*k + 2*k)*(1 + 3 - 5)).\nAnswer: -30*k**5 + 25*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481432.\nAnswer: 2, 7, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 4*b - 11, 2*l - 11 - 3 = 4*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 1:07 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 23400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1142 - 139*j**2 - 154*j**2 + 111*j**2 + 1142.\nAnswer: -182*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1892*x**3 + 369*x**2 - 36*x - 58170 wrt x?\nAnswer: -11352*x + 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 3*k - 1. Let q(r) = 3*r**2 - 5*r + 1. Let u(g) = 2*q(g) + 5*v(g). What is u(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6453 greater than or equal to 2553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 y, and 1 s when four letters picked without replacement from {y: 6, l: 3, n: 1, s: 3}.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(1416*i - 36 + 703*i + 36).\nAnswer: -2119*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 7*g**2 - 9*g - 11. Let h be b(-8). Let c(s) be the first derivative of -s**4\/2 - s**3 + s**2\/2 - 4*s + 1. What are the prime factors of c(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6669 and 4140423.\nAnswer: 53825499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33001 is divided by 1650.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, t: 3, q: 4, h: 1, w: 1}. What is prob of picking 1 q and 2 c?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(108\/96*(-28)\/21).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*z = z + 25, 14 = 2*o + 2*z. Let c(d) = -d + 2*d + o - 2. Let m be c(-6). Solve m*a = -v - 4*v - 1, 6 = -3*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 10*b**2 + b + 14. Determine h(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*k + 9. Let j = 8 + k. Suppose j*n = 5*x + 25, -2*n = 4*x + n - 8. Is x at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + 5*x**2 + 4*x. Let i be s(3). Which is the third smallest value? (a) 0.3 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121.8 to 0 decimal places.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(0 + (sqrt(612) + 2 + 0 + sqrt(612))*4*-3)**2 + 0.\nAnswer: -706172 - 13824*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j - 9. Let c = -44 - -47. Let x be l(c). Let k be (-664)\/(-5) - (x + (-16)\/5). What is the greatest common factor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x + 288 = 25*x. Let i = 48 + x. Calculate the lowest common multiple of i and 246.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 4. Let c(r) = -9*r + 45. Let m(h) = c(h) + 3*w(h). Let s be m(8). Suppose -3*v - 31 = -85. What is the highest common factor of s and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14247 + 4?\nAnswer: 14250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4143 divided by -1381.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - -0.3. Let m = d - -0.7. What is the closest to 1 in -4, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 5 = -k. Let y = 19 + k. Suppose -2*n = -y*n. Solve a = -5*l - 26, n = 4*a - l - 3*l - 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0.1. Let w = -0.2 + h. Let v = 20.4 + -20. Which is the closest to 2\/5? (a) v (b) -2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.98 - -10.\nAnswer: -18.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1346205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (998 - -40)*((-1)\/(-2))\/(2\/34). Calculate the highest common divisor of 51 and v.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81829723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(-17*n - 3 + 19*n + 19)*(3*n - 4*n - n) to h*n + y + u*n**2 and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1176 (b) 4\/11 (c) -2\/9 (d) 0.5 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3440643 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, m: 1, b: 7, q: 4}. What is prob of sequence zm?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -101 + 22?\nAnswer: -df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463318341 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151 and 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 238\/42263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -7. Let o(z) = -3*z**2 - 5*z**r + z**2 - 3 + 2*z + 3*z**3. Let b(a) = a**3 + a**2 - a + 1. Determine 3*b(m) + o(m).\nAnswer: m**3 + m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (59 - 57 - 34)*(2*a**2 - 2*a**2 - a**2) - 5*a + 5*a - 2*a**2 + (-3 + 3 - 4*a)*(0*a - 2*a - 3*a) as t*a + f*a**2 + i and give f.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(96))\/sqrt(2) - (5 + -1*sqrt(3) - 1*sqrt(3)*1))**2.\nAnswer: -60*sqrt(3) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - sqrt(190)*-2*6) + (sqrt(190)*-1 + sqrt(190))*-1)\/(-3*sqrt(160)*5).\nAnswer: -13*sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 15. What is the units digit of b(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3626, -3623, -3620, -3617?\n\"Answer: 3*j - 3629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.04, -0.03, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90\/103 + 244\/515. Which is the fourth biggest value? (a) -0.12 (b) n (c) -1\/3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13418, 51416, 114744, 203402?\nAnswer: 317390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122220122 (base 3) to base 14.\nAnswer: -4a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/4732 and -19\/70.\nAnswer: 23660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y + 19. Let v be r(2). What are the prime factors of 42\/(-98) - (-2201)\/v?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453*n**3 - 5*n**3 + 185*n**3 - 123*n**3 - 468*n**3.\nAnswer: -864*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 + 36*v**2 - 86*v - 5. Let q be n(3). Let s be 2\/(-11) - 399\/(-77). Suppose -1 - 24 = -s*p. What is the greatest common divisor of p and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**2. Let a be (-60)\/(-15) + 4\/2. Suppose -a*x + 11 = -1. Let q(t) = 4 + 2*t - 2 - x. Determine q(s(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*w**2 - 76*w**2 + w - 553 - w.\nAnswer: 8*w**2 - 553","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 16, -4 = -4*p - 0*p - 3*t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4\/3 + 1629*k**3 - 44154*k**2 + 353664*k - 707616 = 0.\nAnswer: -4914, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 1. Let q(v) = 5*v**2 + 22*v + 2. Determine q(l) - 4*s(l).\nAnswer: l**2 + 22*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from {p: 1, g: 1, j: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/2))\/l)**7*l**(-1)\/(l\/(((l**6\/l)\/l)\/l*l)) assuming l is positive.\nAnswer: l**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18200, 36400, 54602, 72806, 91012?\nAnswer: 109220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.2, -1\/14, -3\/2, -1\/56406 in ascending order.\nAnswer: -3\/2, -1\/14, -1\/56406, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -96*z**2 + 80*z. Let r(m) = m**2 - m. Determine -l(h) - 80*r(h).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 7*g**2 + 6*g + 6. Let x be (81\/6)\/3*4. Suppose -3*s = -0 - x. Determine h(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3119135.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 1 + 1)*(0*s + 0*s - 1 + 2*s**2).\nAnswer: -8*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 15, -3, 1\/41 in ascending order.\nAnswer: -3, 1\/41, 15, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 7:08 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-4) + -8)*-12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 878295361.5099 + -885024456.53. Let v = 6728614 + i. Let t = v - -481. What is t rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -345904*d**2 - 1001478*d wrt d.\nAnswer: -691808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/66)\/((-10)\/4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 0. Suppose 6*p + 4*c = p - 30480, -h*c = -20. What is p rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncb when three letters picked without replacement from {c: 2, n: 1, u: 1, x: 3, q: 2, b: 8}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*13\/(-416)*-3*(-28)\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 891 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66 - 614 - 137)*(u - 5*u + 3*u) - 24*u + 18*u + 22*u to q*u + i and give q.\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 59*f**2 - 50389*f + 2554. Calculate l(854).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32835.1t in micrograms?\nAnswer: 32835100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/20 + i**4\/8 + 11*i**3\/6 + 5*i**2 + 6. Let x(u) = -u**2 - u - 4. What is 4*q(z) + 11*x(z)?\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than -591331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.89.\nAnswer: 0.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**3*w**2 - 4752*t**3*w + 3*t**3 + 100112554*t**2*w**2 - 84 wrt w?\nAnswer: -2*t**3 + 200225108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lktk when four letters picked without replacement from lotkdtklktakldoo.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 45 - 24 - 18 + 3*s**2 + 2*s. Determine k(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**3 + 23*v**2 + 8*v - 10. Let d be p(6). Solve -2*q + 20 = 3*i, i - 1 + 5 = d*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 93*v - 36*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0*3280788\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**2 + 10*l + 7. Let y be f(-5). Does 11 divide (-6 + 4)\/(-4)*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*m)*(-1 - 2 + 5) + (-5 + 2*m + 5)*(94 - 2 - 3).\nAnswer: 184*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792485 is divided by 439?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-6)\/z*z)\/(z**(3\/4)*z)*(z**(2\/7))**39)\/((z*z**(-3\/7)*z*z*z**1)\/(z**6*z\/(z*z**(-8)*z))) assuming z is positive.\nAnswer: z**(415\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 31*z - 16 = -2*t, 12 = -2*z + 3*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 14, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25478728?\nAnswer: 2, 11, 26321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*1*(-1)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a second in milliseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4468927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94199793?\nAnswer: 3, 31, 293, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89353 is divided by 156?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154 + -94. Let s = u - 56. Solve 2*d = -2*b + 10, s*b + 6 = 2*d - 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - k + 6*k + 17, 45533*n - 45537*n + 5*k = k - 36 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/84576 and 83\/592032.\nAnswer: 592032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 12, -12, 56 in decreasing order.\nAnswer: 56, 12, 3, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*j + 5*s, -4*j + 24 = 2*s - 4*s. Suppose j*m - 8 = 2*m. Let u be 6\/m*64*10. What is u rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5107 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -350*k + 805. Determine f(3).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88600*f**3 - 15*f - 15*f + 88624*f**3 - 27*f**4 + 33*f**2.\nAnswer: -3*f*(f - 1)**2*(9*f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 5)*(-1 + 2 - 2)*(21 + 2 - 3)*(-4*i**2 - 2*i**2 + 3*i**2).\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyvyqvvvyhqqyyq. Give prob of picking 2 y and 1 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 2*m**2 + 0*m**2)*(-2 - 1 + 1)*(3*m - 2*m + 3*m) + 2*m**3 - m + m.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11023 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 237 = -3*m, -4*m + 26 - 336 = -b. Let c = -71 - m. Solve -30 = -9*o + c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 39*v - 15. Let y be o(-19). Solve -3*g - 2 = y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*10\/(-105) + 200\/(-35)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 177 in -3\/4, -3, 8, 10, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 3 = -13*a, 16 = -3*p + a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.03 + 0.03. Let o = a - -8. Let d be 1 + (-2)\/(-2) + -3. What is the biggest value in o, 0, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49727922*f**3 + 25041189*f wrt f.\nAnswer: 298367532*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7359655, 7359658, 7359661, 7359664?\n\"Answer: 3*t + 7359652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -3 - 4) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43408860 and 5340?\nAnswer: 43408860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -9. What is the smallest common multiple of 2\/1*9\/6 and 51\/9 - g\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22859742, -45719484, -68579226, -91438968, -114298710?\n\"Answer: -22859742*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)\/a)\/a**(-2\/7))\/(a\/(((a*a*a*a\/(a\/a**2)*a*a)\/a)\/a*a)*(a**(-1\/5)*a)\/a*a)*(a**0*a**(2\/9))\/(a*a**(2\/3)\/a*a)**(-3\/8) assuming a is positive.\nAnswer: a**(-4201\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28149868 to the power of 1\/3, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371292 is divided by 185645.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**3 - 2*q + 2. Let t = 38 + -37. Let o(s) = -s**3 + 1 - 1 - s + 1. Give t*g(d) - 2*o(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.162 + 0.062. What is the nearest to c in -0.4, -5, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 - 5*l - 25. Let y(w) = 19*w + 35. Let q be y(-2). Let c be f(q). Solve -a - 13 = -c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105517021 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 412694 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 204 or 1\/5?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b = 0. Suppose -4*y + l = -0*y - 1085, b = -2*l - 10. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64144 + 28761*k**2 + 37916 - 58016*k**2 - 10800*k - 5*k**3 + 28750*k**2.\nAnswer: -5*(k - 7)*(k + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3136, -6424, -9712, -13000?\n\"Answer: -3288*w + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) 0.02 (c) -98 (d) -0.71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/20923625 or 1?\nAnswer: -18\/20923625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 0.4, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -12 - 6*d**3 + 3*d**3 + 16 + 4*d. Let l(s) = 4*s**3 - 5*s - 5. Let n(r) = r - 6. Let w be n(11). Calculate w*i(m) + 4*l(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*v + 2*v**2 + 299 - 299.\nAnswer: 2*v**2 - 76*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 1\/6, 0.07, -0.017 in decreasing order.\nAnswer: 1\/6, 0.07, -0.017, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157704.\nAnswer: 2, 3, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/4 in 0.5, 4, -2659?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p + 16. Let f(g) = 13*g - 2. Let c(b) = -21*b + 3. Let j(k) = 5*c(k) + 8*f(k). Let h(x) = -4*j(x) - m(x). Calculate h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.45797977 rounded to one dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3130174416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**2 - 5*k**2 + 6*k**2)*(1 + 2*k - 1)*(0*k - 2*k - 2*k + (-3 + 1 - 2)*(-k + 0*k + 5*k)) as h*k + q*k**3 + n + d*k**4 + i*k**2 and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(240))\/((sqrt(96) + sqrt(96)*2)\/sqrt(8)) - (sqrt(40)\/sqrt(8)*4 + (sqrt(5) - (-3 + sqrt(5)))*6))**2.\nAnswer: 96*sqrt(5) + 3236\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, -6, -8, -10, -12, -14?\n\"Answer: -2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from seqetqsteestq. Give prob of sequence eett.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:33 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uue when three letters picked without replacement from jaujxxjjeu.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11300022323 + -1013?\nAnswer: -11300030002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a5 + -5?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 20*b**2 + 3*b - 3. Suppose -5*o - 3*s = 44, 6*o - 5*s + 7 + 20 = 0. Let l(v) = -41*v**2 - 7*v + 7. Give o*u(y) - 3*l(y).\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + y - 6. Let a = 2 - y. Let d be (-2)\/2 + 22\/10. Is a at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -226 - -226. What is the biggest value in -2, v, -6\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 165*v - 2468 + 6126 - 1018 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxxv when four letters picked without replacement from {x: 2, l: 1, v: 4, n: 3}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 425*w + 406. Calculate y(84).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3554.386 + 3559. Let q = 0.386 + j. Which is the closest to -2\/21? (a) -5 (b) 3\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2073 - -ca?\nAnswer: 214d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (19\/(-152))\/((-2)\/54) and -25\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5998?\nAnswer: 2, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 174520799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4693954 micrometers to millimeters.\nAnswer: 0.0004693954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 326 and 6147.3.\nAnswer: 2004019.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -544*a**3*f**2*w**2 - 601*a**3*f**2 + 500*a**2*f**2*w**2 + 159*a**2*f*w + a*f**2*w**2 wrt a.\nAnswer: -3264*f**2*w**2 - 3606*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1298860*n + 12*n**2 - 1298860*n. Let f = 0 + 0. Let k(c) = 0 + f - c. Determine l(k(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**2 - 4. Let s(d) be the second derivative of -d**4\/12 + 3*d. What is u(s(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87218*q**4 - 144*q**2 - 49*q.\nAnswer: 2093232*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 - -7)\/((-2)\/(-122)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11676744 and 288.\nAnswer: 46706976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -2*h**7\/105 - h**5\/30 - 3*h**2. Find the third derivative of z(f) wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/6 - 40\/30. What is the nearest to 0.3 in x, 0.22, -7?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2221\/7749 - 1\/1107. Which is the fourth biggest value? (a) -5 (b) 9.9 (c) 0.5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p = -122 + 149 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 1 (c) 2\/9 (d) -6790 (e) -3\/8 (f) 1\/2 (g) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 65 and 66 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21258596*r**4 - 17*r**2 + 3*r - 51585 wrt r?\nAnswer: -510206304*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c**3 + 5 - 23*c**3 - 2 + 5*c + 53*c**3.\nAnswer: 62*c**3 + 5*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.6 or 857700?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5007971 to three decimal places.\nAnswer: 0.501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 8. Let i be 32 + -1 - 0\/w. Suppose 2*z + 2*x - 22 - 46 = 0, -z - 4*x = -i. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 900.4 - 813. Round v to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 6:19 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 925940*o**2 - 898072 wrt o.\nAnswer: 1851880*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2202 (b) 4\/7 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 13. Let c be r(-16). Let n(f) = 4*f**2 + 4*f**2 - f**3 + 5 - c*f + 3 - 5*f. Let b be n(7). Solve -3*m - 2 - b = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 3*r + 5*m, 3*m + 168 = 4*r - 10. Let s be r\/3 + (-2)\/6. What is the highest common divisor of 6 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 8*d + 24. Calculate the remainder when 23 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 89195*h - 380795*h - 521024 - 528*h**3 + 22680*h**2 + 205951 + 4*h**4 - 778427.\nAnswer: 4*(h - 45)**3*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {m: 1, w: 1, d: 3, z: 7}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s + 10. Let x(t) = t**2 + 2*t + 4. Let m be x(s). What is the greatest common divisor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2 - 10*s - 2. Suppose -5*i + 1800*t = 1799*t - 14, 4*i - t = 10. Let c(f) = -6*f**2 + 11*f + 3. What is i*c(d) + 5*v(d)?\nAnswer: d**2 - 6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6\/(-9) + (-11484)\/(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37075288 divided by 344.\nAnswer: -107777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3445193400 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 6 (b) 0.2 (c) -5 (d) 2\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*h - 4. Let c = -24 + 16. Let x = -2 - c. Solve -h*a + x = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 13*g**2 + 24*g + 28. Let w be m(-11). Suppose 23117 = w*f - 19117. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112 + -12?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in 0, 45, 2\/3, -1\/5, -3, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*j**5 - 17*j**5 - 27*j**5 + (-1624*j**2 + 1624*j**2 - 15*j**3)*(j**2 - 2*j**2 + 3*j**2).\nAnswer: -104*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 9*m + 15. Let c be g(12). Suppose 4*b + 3*o = -0*b + 55, 3*b - c = o. Suppose 11 + b = 3*h. Are h and 11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-3 + 2 + 3). Suppose -10 = -u*t - 2. Suppose t*k + 4 = -0. Is k bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = -7*u + 1962. Suppose 0 = 13*h - u + 44. Calculate the smallest common multiple of 135 and h.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbob when four letters picked without replacement from {b: 5, o: 4, p: 8}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 2 n when four letters picked without replacement from nfeinnnnrnff.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1040, 1039, 1038, 1037?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 903536, 903546, 903560, 903578, 903600, 903626?\n\"Answer: 2*j**2 + 4*j + 903530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185 + 189. Let g = 129\/44 - 6629\/220. Let y = 27 + g. Sort 3, y, x in decreasing order.\nAnswer: x, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**4\/8 - t**3\/3 - 7*t**2. Let y be 2\/((2 + 0)\/2). Let w be n(y). Let o(v) = v**2 - 3*v. Give o(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 2*j + 2. Let n be s(-3). Suppose 228 = n*a - 5137. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 8. Let n = -203 + d. Let w = n + 1475\/8. Which is greater: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -166.9, 1\/177, 4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1, 599, 0, 2, -3 in decreasing order.\nAnswer: 599, 5, 2, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 1. Let h(t) = 2*t + 3. Let m(z) = f(z) + h(z). Let s be m(-1). Which is the closest to s? (a) -3\/2 (b) -3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4718 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: Solve -4*z = 529 - 497 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-81)\/(-369))*((-12)\/(-48) + 3\/6)?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 6:41 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 - 4*z**2 + 3*z**2 + (-2*z + 3*z - 3*z)*(2*z - 2*z + 2*z) - z**2 - 2*z**2 + 2*z**2 - 6*z**2 + 3*z**2 + z**2 as n + s*z**2 + i*z and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, s: 1, r: 2, x: 5}. Give prob of picking 4 x.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3320896256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 5:35 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) - sqrt(133)\/sqrt(7))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a - 6. Let q(d) = d - 1. Let f(u) = 2*p(u) - 10*q(u). Let x be f(2). Let y(l) = -l**3 - 7*l**2 - 2*l - 9. Let h be y(-7). Solve g = x*g - h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107 a factor of 28097376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -55?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-567)\/4347)\/((-2)\/46).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-24))\/(4\/(-12)). Which is greater: m or -0.9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o + 2*o + 59*o - 60*o + 2*o - 11142*o**2 to a*o**2 + l*o + m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1. Let u be 26\/(-6)*(3 + -6). Let g = u + -8. Let m(q) = -g - 4*q + 2*q + 1 + 3*q. What is m(j) + 4*z(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 8 (c) 6 (d) -0.2 (e) 7\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 104*h - 2808, -2*w - 48 = -5*w + 5*h + 36 + 51 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, e: 9}. Give prob of picking 2 e and 1 z.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 5*s**3 - 2*s**3)*(-2 + 1 + 2) + 0*s**3 + 0*s**3 - s**3 + 2*s**3 + s + 520 - 521 + 2*s**3.\nAnswer: 2*s**3 + s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0*h**3 + 0 - 1\/5*h**2 + 11*h + 1\/30*h**4. Find i such that y(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 5)*((4 - 2*c - 4)*(-2 + 0 + 4) - 2*c + 0 + 0).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 34*x = 30*x - 32, -2*x + 10 = 5*g. Solve 0 = g*a + 4 + 20 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.021 - 24.021. Put d, -31, 5 in decreasing order.\nAnswer: 5, d, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1034*x = 1029*x - 25. Let z(c) = -20*c**2 + 16*c - 16. Let g(o) = 7*o**2 - 5*o + 5. What is x*z(d) - 16*g(d)?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16884965*u**5 - 64475284*u - 1 wrt u.\nAnswer: -337699300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 18. Let l be 1488\/620*10\/(-4). Give v(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.953127mm to micrometers.\nAnswer: 5953.127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -29 and 171560968712.\nAnswer: 171560968683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 783 times -0.396\nAnswer: -310.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10682 + 17115 = 11*o. What are the prime factors of o?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 7 = 15. Suppose 6*g - 2*g = -20, x*h - 264 = -4*g. What is the third derivative of -h*s**6 + 158*s**6 + s**2 + 7*s**2 wrt s?\nAnswer: 1920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 81, -4 in increasing order.\nAnswer: -4, -1, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 5:25 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + r**2 - 24. Suppose -4*x - 16 = -i, 20 = -5*x - 0*x - 2*i. Calculate the remainder when b(x) is divided by 43.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7142892, -14285780, -21428664, -28571544, -35714420, -42857292, -50000160?\n\"Answer: 2*s**2 - 7142894*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*k = 2*u + 3, u - k + 6 = 0. What is the hundreds digit of ((-5)\/3 - u)\/((-5)\/(-2865))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -15*a + 110. Let v be l(7). Suppose -3*h - 162 = -v*b, 2*b = -b + h + 98. Calculate the highest common divisor of 154 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8284*f**2 + 2774*f**2 + 2774*f**2 + 2737*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-2 - (-18 + 13 - (-1 + -1))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -13*a. Let l(t) be the second derivative of t**7\/2520 + 7*t**4\/6 - 19*t. Let y(r) be the third derivative of l(r). What is y(h(f))?\nAnswer: 169*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(7488) - (0 + sqrt(7488) + 0 - sqrt(7488))))*-1 + 5.\nAnswer: -24*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, 77, 173, 307, 479, 689, 937?\n\"Answer: 19*k**2 + k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**3 + 3*u**3 - 6*u**3 + (-2 + 2 - u)*(1 - 1 - 2*u**2) + 0*u**3 + 3*u**3 - 4*u**3 + (6 - u - 6)*(3994 - 103*u**2 - 3994).\nAnswer: 105*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 98*t**2 - 37 + 81.\nAnswer: 98*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101185, 404337, 909597, 1616965?\nAnswer: 2526441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -726708, -726706, -726704?\n\"Answer: 2*v - 726710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2457\/1365*399\/189.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2089313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 2\/3*w**3 + 0*w**2 + 0*w**5 + 0*w**4 - 1\/6*w**6 + 0*w - 3. What is the third derivative of k(v) wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 90 - ((-1)\/(-1)*0)\/1?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 7096?\nAnswer: 35480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + 0.8000235. Round b to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 241.9854 millennia?\nAnswer: 241985.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdnrdgzccc. Give prob of sequence rz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(162)*-5.\nAnswer: 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + sqrt(288)*2 + -1 - sqrt(288) - (sqrt(288) - (-1*sqrt(288) + 0))) + ((sqrt(288) - (2 + sqrt(288)))*-5 - sqrt(288))*3)**2*4.\nAnswer: -8352*sqrt(2) + 13732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 11*p - 15. Give b(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1476c3 - -3?\nAnswer: 1476c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8 - 6\/(-16)*780\/234.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 4:27 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26449238 - 26449238 + 710*y to a + b*y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5*(-195)\/(-52)*(-78)\/(-36)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 28 = -h + 37, 5*h + 5*i - 45 = 0. Suppose -3*u + h = -360. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 4. Let s(j) = 5 + 1 - 6 + 3. Determine -3*l(x) + 4*s(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 34*q + (-7 + 2 + 2)*(2 + 2 + 1)*(-5*q + 6*q + 0*q).\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1650 and -29\/810.\nAnswer: 44550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 13774\/467?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (32\/(-48) - 152\/(-3))\/2. Calculate the greatest common factor of q and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*23\/(-552)*(-108)\/8*4\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/5, -4, -1\/2017, -39?\nAnswer: -1\/2017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -50895?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5928 and 10868?\nAnswer: 65208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**3 - 2*w**2 + 4*w**3 + 21 + w**3 - 27 as z*w + g + x*w**2 + c*w**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - 3*w**3 - 22*w + 22*w.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -67.4.\nAnswer: -13.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*c - 61*c - 3*k = 6, -4*k = 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - 60. What is the biggest value in 1\/4, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 23*l + 476. Calculate p(-11).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/3*(-2 - -17). Let m(d) = -2*d**2 + 47*d - 216. Let p be m(17). Calculate the highest common factor of p and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**6\/36 - k**5\/30 + k**3\/6 - 5*k**2. Let c(l) be the first derivative of t(l). Find the second derivative of c(q) wrt q.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*n = -3 - 5, -5*y - 3*n = -12. Suppose 7 = -y*o - b + 2*b, 2*o = -b - 8. Let v = 5 - o. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2*x = -264. Suppose 189 = 6*o + 3*o. Suppose 3 = -4*j - l + 30, 5*l = -j + o. Calculate the greatest common divisor of x and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 540743, 1081479, 1622215, 2162951?\nAnswer: 2703687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*j = 108*j - 4038. List the prime factors of j.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -18. Let g be 1\/(-3 + o\/(-6)). Solve g*k = -c - 2, -3*c = 2*k - 7*c + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 26*l + 26*l. Let o(b) = 15*b + 9. Let q(x) = -8*x - 5. Let s(i) = 5*o(i) + 9*q(i). What is s(t(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 6*k + k - 1, -5*k - 13 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = q - 2064 - 235, -757 = w + 2*q. Let b be ((-1008)\/w + (-2)\/17)\/3. Is b greater than or equal to -241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {z: 1, d: 2, x: 1, g: 2, f: 1, b: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*3276\/1911*1\/((-2)\/(-84))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.25 in -5, 428, 0, 3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.952381949 - 0.03\nAnswer: 1.922381949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61544418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0 + 6*u - 2 + 0*u**2 - u**2 + 4. Calculate the lowest common multiple of 10 and r(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -0.2 (c) 0.1 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.440032 decades to centuries.\nAnswer: 0.9440032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**5 - 1891*g**4 + 9*g + 635.\nAnswer: 60*g**3 - 22692*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.1 - 31. Let q = i - 0.1. Let o = -93239 - -93247. Put -5, o, q in descending order.\nAnswer: o, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 1\/10*r**6 + 2*r**2 - 4*r + 0 + 0*r**5 + 0*r**4 + 0*r**3. Find the first derivative of h(k) wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/99*-3)\/1 + 3168\/(-4752).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/11773234 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -27*j + 21*j. Let s be 6\/108*j*558. Round s to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4\/5 + 336*g**3 + 5143*g**2\/5 - 157842*g\/5 - 121176 = 0?\nAnswer: -9, -4, 10, 1683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2370734\nAnswer: 1\/1185367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 7)*(-26)\/3. Suppose i + 23 = w. Suppose -m - 13394 = -3*t, -4*t = -i*m + 7606 - 47798. Round m to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 18. Let o = d + 7.9. Let v = -0.167 - o. What is v rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 0.9. Let i = -302 + 302.1. Which is the closest to d? (a) i (b) -2\/15 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1695 is divided by 221.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.28 to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9762 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -49*c - 2. Let m be z(-2). Suppose 2*w = 2*k + 46 + 48, -w = -5*k - 39. Let t = m - w. What are the prime factors of t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*k + 2141 + 2110 - 4247.\nAnswer: -49*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*l - 42*l + 12*l)*(-3*l**2 + 10*l**2 - 25*l**2) to x*l + s*l**2 + k*l**3 + m and give k.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/6 - 508\/(-84). Is r at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/(-72) + -2)*30\/(-20).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1307 times -0.394\nAnswer: -514.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6 + (0 + 4 - 3)*(-1 - 2 + 2) - 3 + 8 - 1 + (1 + 0 + 0)*(-2 + 3 - 3))*(-z - 3*z + z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -495 - 0.3\nAnswer: -495.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.22*100733\nAnswer: 22161.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 57081586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122 - -1110200121?\nAnswer: 1110212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119545 + 60815 = -180*v + 2441*v + 745*v for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*f**2 + 18*f**3 + 45*f**2 - 16*f**2 - 15*f**2 - 23*f**3 in the form j*f**3 + r + y*f + d*f**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n + 9. Let v(f) = 14 - 4 - 1 - 2*f - 5. Calculate 3*l(r) - 7*v(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + sqrt(475)*-2*1 + (-4 + -2 + sqrt(475))**2.\nAnswer: -65*sqrt(19) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*z - 23*z + 107*z + 10*z**2 - 53*z - 8*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddsoooo. What is prob of picking 2 d?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 8*c + 3 - 2*c with respect to c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.334 - 0.181. Let m = 0.253 - l. Let v = 7.9 - 8. What is the nearest to 0.1 in v, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1\/4, 1.2, -1056\/17?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (29 + -11)\/(1*-1). Let i be 3\/18 - 69\/j. Suppose -13 = -i*o + 19. What is the greatest common factor of o and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933929396?\nAnswer: 2, 887, 263227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656834361?\nAnswer: 3, 79, 83, 33391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 1. Let u(d) = d. Let i(g) = -g**2 - 360*g + 1088. Let q be i(3). Give q*f(b) + 2*u(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 29\/6*o**3 + 0*o**6 - 1 - 10*o - 100\/21*o**7 + o**2 + 0*o**4 + 0*o**5. Find the second derivative of f(j) wrt j.\nAnswer: -4000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 4:36 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/183520 and -57\/80.\nAnswer: 183520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -7\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.9*0.1114445.\nAnswer: 3.77796855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101.1 - -96. Let c = -1.1 - p. Let o = -38 + 37.6. What is the smallest value in c, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = -3*q - 20, -2*q - 10 = 0. Let r = -6 - f. Let w be 10\/5 - r*5. Solve 4*j - 27 = -w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36c - 97?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddododdodddddddd. What is prob of sequence dodd?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -f?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b - 18. Let i be w(9). Factor 4*h**4 - 2888*h + i*h**4 + 24*h**3 - 96*h**2 + 2992*h - 36.\nAnswer: 4*(h - 1)**3*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8938762 kilograms to nanograms.\nAnswer: 893876200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnxgnxnnngxnnhxxhh. Give prob of picking 2 g.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2046231 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 - 268*v**3 - 728*v**2 + 2560*v.\nAnswer: -4*v*(v - 2)*(v + 5)*(v + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -16*o**2. Let i(b) = -2*b**3 - 8*b**2 - 8*b - 10. Let y be i(-4). Let a(q) = -y*q + 0*q**2 + 13*q + q**2 + 9*q. Give r(a(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (-22)\/(-8)) + 0. Suppose -6 = 10*v - 13*v - 6. What is the third smallest value in -5, l, 0.3, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 6553.98\nAnswer: 13107.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144176389*t**3 + 37268541*t.\nAnswer: -865058334*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(1\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34435145?\nAnswer: 5, 281, 24509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23010 and 13806.\nAnswer: 69030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(r**(-2\/5)*r)\/r*r*r*r*r))**(7\/6)*(r*r\/(r\/r**(-1\/2))*r)**(-2\/13))**(-43) assuming r is positive.\nAnswer: r**(12384\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*102905650.\nAnswer: 411622600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6355401 (base 7) to base 3.\nAnswer: -1110010120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 157078 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = 2*a. Let b(f) = f**3 - f + 5. Let j be 0\/((-1 - 1) + 3). Let m be b(j). Solve -2*w - m = -a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1903803 divided by -5583\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2\/(12\/171)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsdddssdssddggssg. What is prob of picking 3 g?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 134949458?\nAnswer: 674747290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 33*v + 36. Suppose 0 = -5*n + 161 - 1. Let d be x(n). Solve d*u - 4*a = 5*u + 20, -8 = u + a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102100 (base 3) to base 6\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjjq when four letters picked without replacement from {q: 3, j: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w - 6 = -20*w. Let t(x) = 5*x**2 - 6*x - 6. Let j(r) = 28*r**2 - 35*r - 35. Let v(u) = w*j(u) - 35*t(u). Let p(h) = 5*h. What is p(v(n))?\nAnswer: -35*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/17 - 1\/85. Let q be 270\/108*(-6)\/(-5). Sort 0.6, 0.3, q, x in decreasing order.\nAnswer: q, 0.6, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-54 - -68) + (-3 - -2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.529 - 0.429. Let m be 4\/10 + (-20)\/25. Which is the nearest to p? (a) -3 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 3*c**2 + 4*c + 3. Let i be y(-4). What is the third derivative of -w**i + 6*w**3 - 2*w**3 + 4*w**2 + w**2 wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(2 - 3) - 0. Suppose -p = -3*c - 0*c. Suppose c*a = a + 16. What is the remainder when a is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2 - 0. Let n = i - -2. Suppose 6 - 27 = -n*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 + 1. Let x be f(1). Suppose x*z = 5*z. Suppose n - 3*g = -z*n + 6, -g + 62 = 5*n. What is the remainder when 34 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = d - 20 + 12, 9 = r - 2*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1724653 + 2b?\nAnswer: -1724625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2177 - -3840. Suppose 2*r = 3*i - 1675, -2*r + z = 3*i + 2*r. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 21*o**2. Let p(u) = 32*u + 2. Give p(v(c)).\nAnswer: 672*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyytyyttyttt.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55420\/51)\/(-20) - 266\/57.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-22)\/(-10) + 686\/70. Suppose r*q = 17*q - 8960. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*p**3*x**2*z - p**3*x*z - 4*p**3*z + 4*p**2*x**2*z - 2*p**2*x*z + 2*x**2 - 6 wrt x?\nAnswer: -14*p**3*z + 8*p**2*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 43. What is the highest common factor of k and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2194 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 5639.678?\nAnswer: -5636.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -10201543345?\nAnswer: -10201543345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1146.7 and 20?\nAnswer: 22934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, -92, -225, -364, -497, -612, -697, -740?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 12:56 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20567 = 109*b - 24382 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 26373735*c + 120. Let a be l(8). What is a rounded to the nearest 1000000?\nAnswer: 211000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w**2 + 2*w - 8. Let c(k) = 2990*k**3 + 2*k**2 - 7*k + 809. Let m(x) = -c(x) - 2*v(x). Find the second derivative of m(y) wrt y.\nAnswer: -17928*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246.574539 take away -116?\nAnswer: -130.574539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/194 - 623\/485. Find the common denominator of m and 47\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 11 + 1. Solve 0 = d - c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/76970058 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4181 - -535.5216865\nAnswer: 4716.5216865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*k - 8040 = 60*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133 + 198. What is the remainder when 256 is divided by x?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**3\/6 - 90*w. Let l(g) = -7*g + 2. Determine -l(b) + 6*p(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 + 100. Let f = 28 + c. Suppose -27 = -4*h + 3*d, 6*d - 3*d = -h + f. Calculate the greatest common divisor of 9 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 10:56 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13\/5 + 101\/35. Let y(p) = 10*p**2 + p + 1. Let n be y(-1). Let q be -2 + 2 - (-2)\/n. What is the closest to x in -4, q, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 437 + -394. What is the remainder when 74 is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c7 + 2?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {u: 2, s: 1, k: 6, c: 6, j: 2, f: 3}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11024 < 12035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-2) + (-297)\/(-286). What is the nearest to -0.1 in 0, y, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2889136 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - w - 9066, 38*w - 35*w - 45362 = -5*j. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 476.8 - 474.9032. What is b rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 3*v**2 + 2*v - 4. What is the remainder when p(3) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1642*l + 1611*l = -124. Solve -20 = 24*h + l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5964176.\nAnswer: 2, 19, 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 806491.7 litres to millilitres.\nAnswer: 806491700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/20 + 1 + 2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2074538*o**3 + 1037287*o**3 + 1037262*o**3.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -268 + 267.9. Which is bigger: p or -0.194?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*v - 8 - 1, -2*v + 7 = j. Suppose 2*w = 4*o + v + 26, -2*w - 12 = 4*o. Solve 0 = -4*a + g - w, a - 3*g + 12 = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 2*h, -2*h + 11455 = -4*w + 11445 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 234 + -234.322. Let x = a + -0.078. Do 0.04 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772734 divided by 3?\nAnswer: 257578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -886*u**3 - 35571*u**2 - 22409083*u - 3 wrt u.\nAnswer: -5316*u - 71142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1315 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 1479 (c) -2536\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1143375 + 173*b + 1143375 - 40*b.\nAnswer: 133*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/6*-1*48\/56\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 - -162. What is the remainder when n is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 675 and 4374?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2860, -5595, -8208, -10699, -13068, -15315, -17440?\nAnswer: -19443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1017.8 - -1018. Put l, 0, -29 in decreasing order.\nAnswer: l, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/sqrt(99) + 3 - (sqrt(396)*-2*2)**2.\nAnswer: -6333 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 18\/5*y**3 - 32\/5*y + 12\/5*y**2 + 2\/5*y**4.\nAnswer: 2*y*(y - 1)*(y + 2)*(y + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a gram in milligrams?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51911.08 centuries in years?\nAnswer: 5191108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 11*m. Let c(v) = -3*v**2 + 12*v. Let i(u) = 3*c(u) + 4*s(u). Let w be i(-6). What is the highest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61838172 or -61838166?\nAnswer: -61838166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -64. Let c(t) = 3*t + 10. Calculate the remainder when 124 is divided by c(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9457879.\nAnswer: 1091, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 208.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, 0, -32, -100, -216, -392, -640, -972?\n\"Answer: -2*x**3 + 6*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2 - 5*k + 5. Let z(o) = 2*o**2 + 2*o - 2. Suppose 2*w - 10 = -5*n, 2*w + 6 = -2*n + n. Calculate w*z(r) - 2*x(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w + 0*w - 4*w)*(-28*w**2 + 766 + w - 766) in the form z*w + u*w**3 + g + h*w**2 and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*h**3*l + 11541*h**3 + 7*h**2*l + 27554*h*l + 3*l - 2823 wrt l?\nAnswer: -9*h**3 + 7*h**2 + 27554*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4795025 + -1.\nAnswer: 4795024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2186 + 4454 = 36*t for t.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 7*v + 4*v)*(-45 + 45 + 8*v**2 + v) + (-v**2 + 10*v**2 + 11*v**2)*(v + 2*v - v) as r*v**2 + j*v + d + k*v**3 and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193950571 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 8. Calculate u(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*5 + -2.\nAnswer: -2 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4)*(-22 + 0). Let f = -14 - y. Which is the biggest value? (a) f (b) -4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 5*c**2 + c - 5. Let x be y(5). Suppose -5*q - z + 148 = -x*z, -2*q - z + 58 = 0. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 179.1 and -0.07?\nAnswer: 179.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-227)\/130 - (-399)\/228. Is -1 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j**2 + 9*j - 2. Let z(d) be the first derivative of -d**4\/4 + d**3\/3 - d**2\/2 - 4. Let g(m) = h(m) + z(m). Is g(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 311544 - 520?\nAnswer: 311024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009627 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*j**3 - 8*j**3 - 4*j**3 - 278 - 11*j**3 - 2*j - 16*j**3 - 10*j**2 to p*j**3 + t + o*j + z*j**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, q: 5, z: 2}. Give prob of sequence qqqz.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {a: 5, s: 14}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*((-16)\/4 - -5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -2*l**2 - 14. Let n(g) be the first derivative of -g**2 + 1. Give o(n(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29605, -67150, -112639, -166072?\n\"Answer: -3972*c**2 - 25629*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*f - 10, g - 7 = 2*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109562287 and 622016.\nAnswer: 9719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 = 2. Let f = 5 - x. What is the lowest common multiple of 22 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - y = 383, -4*y - 150 + 666 = -4*p. Let i be 6\/33 - p\/22. Let n(c) = c + 3. What is the remainder when n(i) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n + 21. Let a be g(5). Let d(b) be the third derivative of b**5\/60 + b**4\/8 - 5*b**3\/6 + b**2. Give d(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m + 13. Let u(p) = -47960*p**2. Give l(u(r)).\nAnswer: 95920*r**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/9*54\/18.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/18 and 18\/25*(-80)\/12?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 2.1. Let p = 0.94 - -3.06. Sort p, 3\/4, j in ascending order.\nAnswer: 3\/4, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - d. Let g(i) = 5*i**2 + 4*i + 27. Let c(u) = 2*b(u) + g(u). What is the derivative of c(r) wrt r?\nAnswer: 14*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 1:50 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.371307908 to two decimal places.\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5 - 8950*f**4 + 10380500*f**3 - 810947500*f**2 - 8892493750*f - 22885618750 = 0. What is f?\nAnswer: -5, 95, 2195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84527?\nAnswer: 181, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**3 - 9 + 5*r + 2*r - 7*r.\nAnswer: 11*r**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9567672 plus 7?\nAnswer: 9567679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -973, -25, -4, 4, 5, 2, -22 in ascending order.\nAnswer: -973, -25, -22, -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-198)\/(-4) - 15\/(-10).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 6976*h**2 + 151696*h + 275520.\nAnswer: 4*(h + 2)*(h + 20)*(h + 1722)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-81)\/(-5))\/((-2)\/(-10)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + 4498\/(-273))*((-8)\/10 - -2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 176*w**2 - 185*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 8:33 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34600, 68498, 102370, 136204, 169988, 203710, 237358, 270920?\n\"Answer: -2*t**3 - t**2 + 33915*t + 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 64, 201, 338, 475, 612, 749?\n\"Answer: 137*t - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 3:57 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 + d**2 + 9*d**2.\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c (base 13) to base 2.\nAnswer: -1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7515 - -7514.8. Let p = 100 + -799\/8. Let c = 19\/88 - p. What is the nearest to -4 in w, c, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 f, and 1 t when three letters picked without replacement from htzfzprfh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/10 (b) -3 (c) -1.9 (d) 2 (e) -146.6 (f) 0.08 (g) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (-30 + 2)) + (-6)\/(-3). Suppose -2 = -5*n + f. Suppose t - 9 = -2*z, 0 = 4*z - 2*z + 3*t - 11. Put n, z, -4 in increasing order.\nAnswer: -4, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 20, 37, 62, 95, 136, 185?\n\"Answer: 4*v**2 - 3*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -8. List the prime factors of 38\/o + (-5)\/15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2853*h + 1345*h + 725*h.\nAnswer: 4923*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0 + 16. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131992589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 1470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82531317 to the power of 1\/2, to the nearest integer?\nAnswer: 9085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 2\/(3\/((-18)\/3)). Which is bigger: a or 429?\nAnswer: 429","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-60))\/((-5)\/(-210)*7). Which is the biggest value? (a) -2 (b) 0.0688 (c) i (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 4, a: 2, p: 3, u: 6}. Give prob of sequence uv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -346.18 - -344.2403. Let u = j - -1.9. Let d = u + 0.04. Round d to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32826 + -190549\/6. Let j = v + -1063. Calculate the common denominator of 67\/1356 and j.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfffffkfff. What is prob of picking 1 f and 1 k?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233676?\nAnswer: 2, 3, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 u, and 1 q when four letters picked without replacement from uqefqfeqaeqexx.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*l + 10 = 0, -5*m - 5*l = 15 - 5. Let u(b) be the first derivative of 1\/3*b**3 + m*b + 3 - 13\/2*b**2. Find the second derivative of u(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let n(c) = c**2 - 49*c. Give m(n(k)).\nAnswer: -k**2 + 49*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 952785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 15163430?\nAnswer: 15163424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 520 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16372840389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 60. What is the lowest common multiple of b(-15) and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from mvmvmvmaamavammvv.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4 + 45778*m**3 - 523768969*m**2 - 3143849928*m - 4716392976 = 0.\nAnswer: -3, 22892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 47\/(-3) + 1\/(-3). Let r be ((-24)\/o)\/(2\/4). Find the third derivative of -9*y**2 + 7*y**2 - y**5 + r*y**4 - 3*y**4 wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*p**3 + 2*i*p*u + p**3*u**2 + 9*p**3*u + 4*p**2 - 12*u**2 wrt p?\nAnswer: 6*i + 6*u**2 + 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -0.05, 4, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/10)\/(3\/(-15)). Is y\/(-12) + 27\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116296472?\nAnswer: 2, 1567, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36676.\nAnswer: 2, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 12, -3, 1\/3 in descending order.\nAnswer: 12, 1\/3, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 1. Let f(c) = 4. Suppose 0 = -3*q + 3*p - 2*p + 15, 2*p = -5*q + 25. Suppose -u + 3 = q. What is u*k(z) + f(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -19. Suppose -48 = -n*j + 12. 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 -0.5 times -0.89?\nAnswer: 0.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {s: 1, r: 1, k: 7}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2. Let y(c) be the first derivative of -2 - 1\/3*c**3 + 0*c + 0*c**2. Determine x(y(a)).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 610957?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 135817*g - 135818*g = -6, -6*g = -72 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*28\/(-7). Suppose -2*p = 3*p - 160. Let a = p - 125\/4. Which is bigger: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*q = -473 + 41. Let i be 12\/(-30) + (-32)\/(-5). Let k(j) = -8 + 2*j + j**2 + i + j - j. Determine k(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 4, e: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + (0\/(-4))\/1. Suppose -2*g + 8 = -y*g. Let v = 16 + -31\/2. What is the nearest to g in -1\/4, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) 2\/11 (b) -4 (c) 0.4 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5 - -5) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/169 and ((-4)\/42 + (-1406)\/(-6384))*-83.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = 6, 81 = 3*l - 3*i. Suppose -a + 19 = 5*t, 26*t - l*t = 5*a - 11. Solve z + 6 = 2*m, -z + t*z = 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*v = 59*v + 30287 - 18761 for v.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-708)\/(-8) - 4\/1. Let y = -176 - n. Solve 0 = 3*u - 5*d + 3*d - 6, u + 15 = -y*d for u.\nAnswer: 0","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 {f: 15, j: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -833 - -832.92. Is 71 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/8 of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*r, -2*r = -3*n + n + 6. Let g be 75\/(-5)*r*4\/(-5). Let z be g\/28 - ((-286)\/14 - 0). What is z rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 1. Let a = -22 + 25. Let z be g + 4 - a - -5. Let k(w) = -w**2 + w + 5. Calculate k(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {c: 1, y: 17}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/3*2\/4. Let q be 0 + o - (7 + -4). Let x = 2 - 7. Sort x, q, 5 in increasing order.\nAnswer: x, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 (base 15) in base 9?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 96b2 (base 12) to base 8\nAnswer: 40246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -75.1*-2245\nAnswer: 168599.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81324*v - 83056*v = 148952 for v.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2560570?\nAnswer: 2, 5, 256057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 157628845?\nAnswer: 2049174985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -45*q + 55 + 85 - q**2 - 16 - 33. What is the units digit of j(-46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/20 + m**4\/6 - 5*m**3\/3 - 2796*m. What is r(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, c: 7}. Give prob of sequence cfcc.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 + 31*m**2 - 52*m - 18. What is k(14)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 19 + 13. Calculate the remainder when 43 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3022, -12244, -27606, -49102, -76726?\nAnswer: -110472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coc when three letters picked without replacement from ooooooccooocooocooc.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.17812467 to 0 dps.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (17268\/38853)\/((-4)\/54)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-289690)\/4910*(-2)\/4*(-4)\/(-2).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -22*y**3 + 350*y**2 + 5*y + 16. Let k(l) = 9*l**3 - 176*l**2 - 2*l - 7. Determine -2*b(c) - 5*k(c).\nAnswer: -c**3 + 180*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -117, -143, -177, -225, -293?\n\"Answer: -n**3 + 2*n**2 - 25*n - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -14?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2555038588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x - 1393 - 407 = 0. Find the second derivative of 37*k - 5*k + x*k - 70*k**4 - 11*k**4 wrt k.\nAnswer: -972*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -8*x + 3. Let t(y) = -7*y - 3. Calculate t(f(w)).\nAnswer: 56*w - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2592)\/(-18) + 1*-2. Let u = m + -143. Which is smaller: u or 2\/135?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 1376?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/8)\/((36\/(-36))\/((-37)\/1))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*a - 35 = -6 - 15, 0 = 4*x - 3*a - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a128 (base 11) in base 16?\nAnswer: e028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -238.5 - -238. Suppose 0 = -3*w + w - 6. What is the closest to 0.2 in -1, a, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i - 67. Suppose -3*z + 2*k = 17, -5*z - 3*k - 60 = -0*k. Let q be d(z). Suppose -5*h = -h - 32. Put h, 2, q in decreasing order.\nAnswer: h, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3 - 54*x**2 + 55*x = 0. Calculate x.\nAnswer: -55, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2. Let a(j) be the third derivative of -37*j**5\/60 + 67*j**3\/6 + 4*j**2. Let t(x) be the first derivative of a(x). Calculate i(t(g)).\nAnswer: -10952*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g - g)*(0 + 0 - 1) + (3 - 2 - 3)*(-4 + 4*g + 4).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 16518616?\nAnswer: 148667544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Let v(d) = -d**2 + 6*d - 3. Let a be v(l). Suppose -a*h = -6*h + 1. Calculate the greatest common divisor of 3 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167 + 166.8. Which is the closest to 1\/2? (a) h (b) -3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8924 and 15326.\nAnswer: 704996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71\/52 less than -838\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 187\/101 - (60 - 58). Let t = 3767\/202 + b. Let t*s**2 + 22*s**3 + 0*s - 3\/2*s**4 - 2 - 7*s**5 = 0. What is s?\nAnswer: -1, -1\/2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 164 and 18961.\nAnswer: 19125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -4*k - 6. Let t = -7 - k. Suppose -a - 17 = -2*m, 3 = -t*m + 2*m - 3*a. Calculate the lowest common multiple of m and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1414 + -1161. Let c(o) = -o**3 + 5*o**2 - o - 4. Let q be c(4). Differentiate -19 - l*u**3 - q*u**4 + 253*u**3 with respect to u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 153 - 53*z**2 + 147 - 298 in the form r*z**2 + o + b*z and give r.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172388 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:30 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(152) - (3*sqrt(152)*-2 + sqrt(152)))*-2)\/(2*-1*sqrt(392) + (sqrt(392) - -1*sqrt(392)*3)))**2.\nAnswer: 17100\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 - 84 - (-6 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*h + 12, 2*m + 3 = m. Let o be (31 + -2)\/((h\/(-2))\/1). Let v = 77 + o. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7 - 1\/(-9)*(-1878)\/468*-15 and 47\/546?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1302*g + 5 + 1.\nAnswer: 1302*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - (-1 + -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3607?\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 3*l - 1 + 2, -l = -4*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7\/4)*p*p**8)**45 assuming p is positive.\nAnswer: p**(1305\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2340)\/(-273)*140\/80?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = 4. Let q be z\/(1\/(-4) + 14\/24). Suppose q*j = -3*t, -2*j + t = 3 - 15. Solve 7*l = j*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -4*x**7\/105 + 3*x**4\/8 + 8*x**3\/3 + 33. Let a(f) be the third derivative of p(f). Find the first derivative of a(w) wrt w.\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4696596, 9393193, 14089790, 18786387?\n\"Answer: 4696597*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.28027936 to 3 decimal places.\nAnswer: 3.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 37, 1256 in ascending order.\nAnswer: 5, 37, 1256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63)\/(-14) - (-2)\/(-4). Put u, -1\/6, 0 in decreasing order.\nAnswer: u, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12610383, 25220767, 37831151, 50441535, 63051919?\n\"Answer: 12610384*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 25*k + 15. Determine s(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 t when three letters picked without replacement from tptttttptttttp.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 47*z**2 + 63*z + 138. What is the hundreds digit of q(46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603 + 864 = 9*w. What are the prime factors of w?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11102 - 3?\nAnswer: 11033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = d + 4*b, -2*b + 10 = -4*d + 24. Factor -21*u**5 - 4*u**3 - 3*u**4 - 4*u**2 + 7*u**d + 25*u**5.\nAnswer: 4*u**2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (219 - 219 + 62*k**2)*(-1 + 1 - k) to the form b*k + g*k**2 + s*k**3 + i and give s.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 194628 by -3.\nAnswer: -64876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 7*t. Suppose 3*l + 9 = 3*d - 2*l, 4*d - 4*l - 4 = 0. Let p(u) = -12*u + 2. Calculate the remainder when p(d) is divided by m(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 2:08 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6119.2116s?\nAnswer: 1.699781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*l - 3*b, l = b - 0 - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**3 + 6*i**2. Let z(f) = 2*f**3 + 7*f**2 + 5*f + 5. Let n(t) = -t**3 - 4*t**2 - 3*t - 3. Let d(a) = 5*n(a) + 3*z(a). Calculate 6*d(g) - x(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 37*c - 294. What is k(25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, x: 3, k: 5, a: 1, c: 5}. What is prob of picking 1 a and 2 c?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-91)\/(-4186))\/((-3)\/62) and 33\/1058.\nAnswer: 3174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -40*v**3 - 4*v**2 + 8*v - 5. Let h(s) = -27*s**3 - 3*s**2 + 5*s - 3. Give 8*h(m) - 5*w(m).\nAnswer: -16*m**3 - 4*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8770)\/7016 + ((-111)\/28)\/(-3)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3 + 34024*h**2 - 34108*h - 680560 = 0.\nAnswer: -8507, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 plus 2275?\nAnswer: 2274.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1188 = 17*x + 321. What is the first derivative of 56 + x*k - 4*k - 3 - 3 wrt k?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3189894?\nAnswer: 2, 3, 59, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 422*w**4 - 2*w**3 - 4*w - 120?\nAnswer: 5064*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1047676 rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*k**2 - 11*k**2 + 5*k**2)*(2*k - k**2 - 2*k) + k - k + k**4 + (-3 + 3 - 2*k**3)*(-2*k - 4*k + 5*k) + k**4 + 0*k**4 - 2*k**4.\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42353215 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 279*p**2 + 3462*p - 371. Calculate x(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/33*(-32)\/80?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -139*x + 158*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**7\/420 + m**6\/60 + m**5\/24 + m**4\/24 + m**2 + 4*m. Let i(o) be the first derivative of a(o). Factor i(y).\nAnswer: y*(y + 1)**2*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -227*d**4\/24 + 10*d**3\/3 + 2*d**2. What are the prime factors of g(-3)?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 - (-99 + 106) - 57\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w - 4*p - 0*p, -12 = 3*p. Does 24 divide (-6)\/w + (-19)\/((-931)\/9450)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -5, 2, 2\/7, 0 in ascending order.\nAnswer: -5, 0, 1\/7, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168*z**3 + 60*z**4 - 168*z**3)*(1 - z - 1 + (0 + 1 + 1)*(3*z + 3*z - 4*z) - z - 4*z + 3*z).\nAnswer: 60*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 16489 + 30003. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**5\/60 - 7*j**4\/24 + j**3\/3 - 3*j**2. Let h be n(-7). Solve 0 = 3*g - 3*o + 7 + 2, 0 = o + h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (2 + -2 - 1). Suppose 2*q - 1 + 32 = 3*f, c*q = -2*f - 1. Suppose 2*u - 11 = f. What is the highest common divisor of 27 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*v**2 - 199*v**2 + 4*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0.3 (c) -8738998\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4 (b) -0.29 (c) 2 (d) 1\/6 (e) 0.09 (f) -3\/7 (g) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 10:22 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqqiiqiqiqqiqi. What is prob of picking 2 q and 2 i?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2032330200 (base 4) to base 8.\nAnswer: -2167440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.93 and -0.4.\nAnswer: -0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 16) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(200) + sqrt(200) + 0) + (sqrt(200) + (sqrt(200) - (sqrt(200) + sqrt(200)*3 + 1)) + sqrt(200))**2 + 5.\nAnswer: -80*sqrt(2) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = -0. Differentiate -i - 8*h - 3*h**3 + 8*h wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 2*x**2 - 14*x + 4. Suppose -8*y - 43 = -3. Let z be o(y). Which is the nearest to 5? (a) 3 (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 60887 from -2528.756.\nAnswer: -63415.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 191 - 330. Let x = b + 186. What are the prime factors of x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 10*r**4 + 4*r**3 - 30*r**2 + 8*r + 8 = 0.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1444, 1421, 1364, 1255, 1076, 809, 436, -61?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 2647 (b) -0.5 (c) -55 (d) -5 (e) -1\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -73348 - -4?\nAnswer: -73344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/((-1819)\/(-334696)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 194 + 632 = 0. What is the derivative of 95 - m + 23*x**3 + 79 wrt x?\nAnswer: 69*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h = -48 + 16 - 206. Suppose 0 = v + q + 46 - 118, 0 = -5*v - 3*q + 350. What is the remainder when v is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8688 + 15491. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*g**4 - g**3 + 14*g + 24159 wrt g.\nAnswer: 92*g**3 - 3*g**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -23. Let c(n) = -n**3 + n + 1. Let h be c(0). Let d be (-13)\/52*(-1 + 9). What is the closest to r in -1, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121895.\nAnswer: 5, 24379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5*j - 30 = 0, x - 8*j + 10*j - 3 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/14)\/(((-32890)\/4620)\/299).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x - 4. Suppose -6*d + 155 = -d. Suppose 2*r + 4*i + 20 = 0, -5*i - d - 9 = 5*r. Calculate the remainder when 49 is divided by a(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -266*q**2 + 1. Let n(u) = 16*u + 10954. Determine n(a(z)).\nAnswer: -4256*z**2 + 10970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 z when three letters picked without replacement from yoyzzzzoiyw?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40 - 386a746?\nAnswer: -386a786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.6979*28.\nAnswer: -103.5412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2724 and -20\/19613.\nAnswer: 53425812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 30. Let w = h - 4.00000083. Round w to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/21*3\/390*-35.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let h(p) = 0 - 1 + 0 + p. Let s(t) = t - 6. Suppose 4*y + 8 = -3*v, -y + 2 = -3*v - 11. Let l(r) = y*s(r) - 6*h(r). Calculate -l(g) + 6*o(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-16)\/(-6) - 0)*3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1008) + -3 + 3)**2*-5.\nAnswer: -80640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 154936 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(2) + sqrt(15))\/sqrt(5))**2 + 2 + sqrt(108).\nAnswer: 6*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107 - 569 + 91 + 383*t**2 wrt t.\nAnswer: 766*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 8*n = -6*t - 27, 0 = 2*t - 3*n - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 13741 = -2*m, -u + 85*m - 81*m = -2741. What are the prime factors of u?\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80464.9*119.\nAnswer: -9575323.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3319 = v + 3*x - x, -2*v - 6662 = -4*x. Let k = -2292 - v. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5 = -25, -4*b = 3*f - 111. Suppose -3*n = -0*n - b. Suppose -3*y + 14 + 7 = 0. Solve -n = -5*k + y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47312*m + 23609*m + 23619*m.\nAnswer: -84*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -291984*2\nAnswer: -583968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/3227235 and 43\/1506043?\nAnswer: 22590645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (723\/(-27) + (-4)\/18)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 243, 571, 985, 1491, 2095, 2803, 3621?\n\"Answer: o**3 + 37*o**2 + 210*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22927 - 16020. What are the prime factors of n?\nAnswer: 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/(sqrt(2) + sqrt(2)*2) + 2*(sqrt(200)\/sqrt(4) + sqrt(50)))\/(-5*sqrt(250) + 4*sqrt(810)))**2.\nAnswer: 845\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96441184 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3217 - -3214. What is the nearest to 0.2 in -6, -2, -4, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**2 + 2*v + 749. Let d(h) = -20*h**2. What is t(d(y))?\nAnswer: 40*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -386 by -46138.\nAnswer: 193\/23069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.3 - 6. Let f = -8 + 8.6. Let o = f - u. Sort o, 5, -1.\nAnswer: -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(168)\/sqrt(6))\/(sqrt(4) + sqrt(256)*-3).\nAnswer: 5*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 + -7 - (2 - 203) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 - 4)*(0 - 5 + 4)*(59*s + 1183 - 1183)*(-3*s - 2*s + 3*s) to m + a*s**2 + r*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -154669190 to the nearest 10000.\nAnswer: -154670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6\/5)\/(z**(-5)\/z)*(z**0\/z)**(36\/7)*(((z\/(z\/z**(-1))*z)\/z)\/z)**42*(z**0)**(-15) assuming z is positive.\nAnswer: z**(-2952\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -322023034 + 200?\nAnswer: -322022334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -234 - -626. What are the prime factors of j\/22 + (-2)\/(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*m + 356 + 304 = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 378, -9421, -2 in ascending order.\nAnswer: -9421, -2, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29476, 117879, 265216, 471487?\nAnswer: 736692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3\/9 + 80780*z**2\/3 + 19740088*z\/3 + 3614251952\/9 = 0.\nAnswer: -122, 121414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 201466 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 7740*u**2 - 69325*u + 107730.\nAnswer: -5*(u - 1539)*(u - 7)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**5 - 2580*x**4 + 7784*x**3 + 5136*x**2 - 31072*x + 20736 = 0.\nAnswer: -648, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182 + -180. Solve 0 = 4*c - c - 3, 4*k + 14 = -n*c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 4:33 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m + 15. Let r(t) be the first derivative of -2*t**2 - 4*t + 480. What is r(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 22*l + 3. Let p be y(-22). Solve -p*n = -j - 4*j + 13, 0 = 5*n - j - 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4924168, -9848339, -14772510, -19696681, -24620852, -29545023?\n\"Answer: -4924171*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 11 - 11 - 1084*r**3 + 1088*r**3 + 1289*r**2 - 2*r**3 + 2*r**2 - 2*r**2 + (5*r**3 - 2*r**3 - r**3)*(3 - 3 + 2).\nAnswer: 6*r**3 + 1289*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*z**3 + 20*z - 20*z)*(-2 - 2 + 2).\nAnswer: -34*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 4*x + 1. Let b be c(-3). Let g(w) = 1 - 3*w + 8*w - 2*w. Let j(p) = -p - 1. Determine b*j(d) - g(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 21. Let i be r(0). Let l = -22 - i. Suppose -4*x - t - 5 = -1, 4*t = 16. Sort x, l, 4 in descending order.\nAnswer: 4, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9564503.183202 and -3.\nAnswer: -9564506.183202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 7. Let q be l(5). Let u(m) = -m**2 - m + 2. Let y(r) = r**2 + 7*r - 7. Let w(k) = -5*u(k) - y(k). Is 13 a factor of w(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/25)*z**28 assuming z is positive.\nAnswer: z**(699\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**4 + g**3 + g**2 + g + 1. Let m(x) = 5752*x**4 + x**3 + x**2 + x + 3586. Let h(b) = m(b) - w(b). Find the first derivative of h(f) wrt f.\nAnswer: 23012*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 82\/(-60) - (-12)\/8. Let g(a) be the second derivative of -1\/20*a**5 + 0*a**2 - 2\/15*a**4 - v*a**3 - 1\/150*a**6 + 5*a + 0. Factor g(z).\nAnswer: -z*(z + 1)*(z + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 16) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -11 + -11 + -7 + -37\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 6. Let f(m) = 7*m + 222. Let u be f(-32). Calculate the remainder when 1\/(16\/(-808))*u is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 14) to base 4\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 0*m = m + 9, -5 = 2*o + m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of (49\/((-10976)\/(-1856)))\/(2\/1918)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63662 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2\/7 - 12*p\/7 - 180\/7 = 0. What is p?\nAnswer: -6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 + 118.9. Which is the closest to 0? (a) 2\/7 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 12 - 24 = 0. Suppose 2*k + 4*d - 2294 = 0, k = p*k + 5*d - 2292. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + (-180)\/(-48). Suppose 0 = 4*r - 12 - 8. What is the derivative of 69*d**4 - 53*d**i + r + 3 wrt d?\nAnswer: 64*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2605 = -0*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308) - (sqrt(308) + sqrt(308)*-1))*-6)\/sqrt(7)*-6*-4.\nAnswer: -288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.978 - 0.022. Let j be 2\/3 - 128\/264. What is the closest to 1 in j, -2\/11, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0, 3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -98380 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58973 - -58972.8. Let c = -0.1 + 4.1. Let p = 2.1 + -2. What is the closest to p in c, k, -2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 38. Let b be z(0). Suppose -3*w + b = -w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 21*o**2 + 23*o - 26. Let a(s) = s**2 - s - 50. Let h be a(9). What is t(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -585900 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5769481351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9660060 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 + -3.652\nAnswer: -3.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.40403276 to one decimal place.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 12. Let l be r(9). Let i(z) = -3*z**2 - 35*z + 20. Let k(m) = -m**2 - 12*m + 7. Let p(y) = 6*i(y) - 17*k(y). What are the prime factors of p(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 4:25 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(190)\/(sqrt(200)\/sqrt(5)) + 0)**2 + -5.\nAnswer: 151\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 146 + -316?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4*g - 3*g**4 + 2*g**2 - 6*g**3 + 1 + 8*g**3 - g**4 in the form c + y*g**2 + v*g**4 + s*g + a*g**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 25*p = 57288. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/14)\/j*j\/(j*j**(1\/22)))**(-10\/9) assuming j is positive.\nAnswer: j**(640\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135 + 140. Let g(c) be the second derivative of -c**2 - 1\/2*c**4 - c**3 + 4*c + 0 - 1\/10*c**r. Factor g(q).\nAnswer: -2*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 + 4*d + 16. Calculate c(-5).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -97371.4\nAnswer: -77897.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1 - 7 - 2*d**2 + 7*d + 3*d**2 + 2. Let j be o(-8). Suppose 0 = -r - j*b - 1, -1 - 4 = r + 4*b. Solve 0 = -r*u - u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96333064 + 12041544252\/125. Suppose 0 = 2*t + 2*x + 1430, 3*x + 3290 + 275 = -5*t. Let s = l - t. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 5. Let a = -3.9 + o. Let l = a + 3. Put 0.4, 2\/7, l in increasing order.\nAnswer: l, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2089.5 times -16075\nAnswer: -33588712.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 258710*t**2 - 1034780*t - 1034760.\nAnswer: -5*(t + 2)**2*(t + 51738)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -773274\/137 or -5644?\nAnswer: -5644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -62*a**3 - 39*a**2 + a - 66. Calculate the least common multiple of 2 and w(-5).\nAnswer: 6704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 348995*u**2 + 217671*u**2 + 2*u - 4*u. Suppose -b + 5*b = 3*w - 27, b - 17 = -4*w. Let d be r(b). What is d rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2421 + 2416. Let d(h) = -h**3 - 4*h - h - 4*h**2 - 2*h**2 - 6. What is d(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/((-2)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 + 2313*p - 9354. Calculate h(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/40 and 69\/7984?\nAnswer: 39920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 745*c**4\/24 + 620*c**2. Let n(t) = 5*t**2. Determine k(n(g)).\nAnswer: 3725*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51960*p - 51947*p - 157274 = 0. What is the smallest common multiple of p and 16?\nAnswer: 96784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = -8. Let u be (21\/42)\/((-5)\/180). Is 14 a factor of 100 + 5\/20 + u\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - -2) - (-7 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 2*c**2 + 39*c + 56. Let a be l(0). Solve -27*q = -a*q + 25*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:50 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1212 = 8*q + 124. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 40 - 26207*s - 35 + 107.\nAnswer: -26207*s - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2 - 3*a + 2*a**2 - 3 - 3*a**2. Let f = -2 - 2. Give q(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.3*80.\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, -39, -124, -243, -396, -583, -804?\n\"Answer: -17*o**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12464583 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 15693*v. Let p(a) = -39*a**2 - 5. What is c(p(j))?\nAnswer: -612027*j**2 - 78465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 24*f**2 - 176*f - 126. Determine v(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624*a = -599*a + 1271*a. Which is smaller: 12\/1969 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18 - 11) + (-8)\/2. Suppose -5*y = -t*y. Suppose z - 38 + 3 = y. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -0.5, -1, 1, 6, 2418.\nAnswer: -1, -0.5, -1\/11, 1, 6, 2418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/7 and 58\/5649?\nAnswer: 5649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73320935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -1069.12 and 0.0642692.\nAnswer: -1069.0557308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/((-12)\/3273). Let p be 144 + -8 - 0\/1. Let q = p + w. Sort 3\/2, -5, q in increasing order.\nAnswer: -5, q, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 - 54) + (1 - 1) + -39?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 0*w + w + (w - 2*w - w)*(5 - 2 - 5) + 1 - 1 - w - 6*w + 3*w + 2*w + 3 - 3 + 2*w + 36*w - 20*w + 26*w)*(2 + 1 - 15) to t*w + a and give t.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 divided by 4?\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2*((-57)\/108 - 6\/(-8)) and -82\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*f - 69*f = 55*f - 1556100. Is f a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((104\/(-24))\/(44\/231))\/(42\/(-120)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10253\/4 - 2544. Let d be 4\/(-6) + 14\/(-6). Calculate the common denominator of n and d\/21*164\/8.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 565 in -26, 5, -4, -1\/11, 4, -62?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*(30\/(-8) - -4). Solve -2*k - 1 = -n*k - 4*a, 3*a - 1 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 3*f - 7. Give u(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**6\/120 + h**5\/10 - 5*h**3\/6 - 2*h**2. Let u = 33 - 38. Calculate the smallest common multiple of 2 and n(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14692, 58758, 132208, 235048, 367284?\nAnswer: 528922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31005389 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6691504481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4277776845?\nAnswer: 3, 5, 285185123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345342*z**2 + 765198*z**2 + 764624*z**2 - 255646*z**2.\nAnswer: 928834*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -15. Suppose -3*o + 0*o - 4*b + 11 = 0, -5*o = -j*b - 29. Suppose 3*q - 249 = -w - 26, w - 223 = o*q. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1725 divided by -3.\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 16. Let m be r(-11). Let q be 8\/20 - (-38)\/m. Suppose -5*n - q + 3 = 0. Which is the closest to 1? (a) -2 (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**6 - 85*c**3 + 441*c**2.\nAnswer: 240*c**3 - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*o - 199*o = 2316 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/((-860)\/(-1693440)) - (-12 + 1) 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 37\/3512 and 23\/18?\nAnswer: 31608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 478244217 and 33?\nAnswer: 478244217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/14)\/(15\/15)*2\/(-2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 25 + 44)*(3*i + 6*i - i)*(8*i - 6*i - 27*i) to m*i + b + q*i**2 and give q.\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 greater than -938\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 9*n**2 + 8*n + 6. Suppose 0 = -3*m + m - 3*v + 4, -4*m - v + 28 = 0. Give z(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + -51. Is (-2)\/(3 - f\/6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 21*n + 15 - 20, -i + i - 45 = 6*n + 3*i - 6*i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d - 10. Let g be l(-4). Let h = 22 - g. Find the second derivative of -12*c + h*c + 2*c - 5*c**3 wrt c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrrrrzzkr. Give prob of picking 1 k and 1 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*3*32\/72. Let u(j) be the first derivative of -7\/4*j**4 - 3\/2*j**2 + b*j**3 - 2*j + 2. Suppose u(v) = 0. What is v?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 2}. What is prob of sequence ykk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**2*w**2 - 47*u**2*w + 69*w**2 wrt u.\nAnswer: 2*u*w**2 - 94*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 14 = -6. Let d(v) = v**3 - 4*v**2 + 3*v + 4. What is the remainder when 31 is divided by d(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 5:34 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6618369*s**3 + 128*s**2 + 16246?\nAnswer: -39710214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(975) - (sqrt(975)*-1 + sqrt(975)) - 5*(sqrt(39) - sqrt(117)\/sqrt(3)))\/(sqrt(36)\/(-2*sqrt(1200) - sqrt(12) - sqrt(12))).\nAnswer: -110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fftffwfftwfw.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 156838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.923 + 0.077. Let m = 8 - 17. Let s = -8.5 - m. Which is the biggest value? (a) z (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 + 43*r + 78 + 42 - 39*r + 52.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*p + 4*p**2 - 8*p - 4*p**2 + 13*p**3 wrt p.\nAnswer: 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 532316011?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4 - w - 3*w + 2*w - 1. Let p(q) = -q**3 - 10*q**2 - 10*q - 13. Let i be 3*(-1*(0 + 3) + 0). Let x be p(i). What is g(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 46*o**2 + 249*o + 18. List the prime factors of t(10).\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474165 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/12 + d**2\/2 + 8*d. Let x(c) = -15*c**3 - 15*c**2 - 3*c - 3. Let m(s) = -9*j(s) - x(s). Factor m(p).\nAnswer: 3*(p + 1)**2*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqkkkkkkkkkqkkkkkk. Give prob of picking 3 k.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 517999\/21165459 - -3\/69853. Find the common denominator of -62\/1515 and y.\nAnswer: 10605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2639 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 93*r**6\/20 + r**5\/30 - 151*r**4\/24 - 106*r**2 + 4. Find the third derivative of u(a) wrt a.\nAnswer: 3348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 3*t**2 + 131 - 131. Determine u(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b, 4*v - 3*b - 111 = 49. What is the remainder when 231 is divided by v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 + (-26)\/(-40). Let r = 9339.3 - 9958. Let q = 619 + r. Is x less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(1\/2)*n*n)*n)\/n*n*(n\/n**8)\/n*n*(n**(-1\/4)*n)\/n**(1\/3))\/((n**5*n**8\/n)\/(n**(-2))**0) assuming n is positive.\nAnswer: n**(-229\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-18) + 592\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -980 + 12*m**2 + 980.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 38*f - 24*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -69 + 234. Let x = 0 + 4. Suppose -x*q = 2*t - t - 49, 2*t = 2*q - 12. Calculate the greatest common factor of q and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - n = 3, -1369*f + 3*n = -682*f - 684*f - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g - 6. Let j(q) = -3*q + 10. Let s(h) = 3*j(h) + 5*n(h). Let t(f) = -50*f. Calculate s(t(w)).\nAnswer: -50*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -709 and 2433 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 391, 591, 789?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 470. List the prime factors of j.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 40*t - 415. Let j be w(-19). Put 1\/9, j, 0.22 in decreasing order.\nAnswer: 0.22, 1\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + 1.19. Let v(m) = m**3 - 11*m**2 + 21*m - 20. Let k be v(9). Suppose 5*y = k*y + 8. Which is the second smallest value? (a) 0 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-438)\/(-4) - 2\/(-4).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -16800*f - 315. Let x(b) = -107*b - 2. Let j(s) = -2*o(s) + 315*x(s). Let h(g) = -8*g. Determine -77*h(n) + 6*j(n).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83438880 divided by -15684.\nAnswer: -5320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 3. Give p(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6368 + -5282. What is the lowest common multiple of 27 and w?\nAnswer: 9774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 1)*(-3)\/(-6). Let i(b) = -746*b + 9. Let g be i(r). Let p = g - 314. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 13.2. What is the third biggest value in -0.11, c, 0, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16698 and 16.\nAnswer: 133584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2211678 and 42.\nAnswer: 2211678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/114 and 142\/(-30) + 4\/(-40).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209509101 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4878652087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -901, -1801, -2699, -3595, -4489, -5381, -6271?\n\"Answer: u**2 - 903*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5ba9 + -95cd?\nAnswer: -11398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 3*y**4 - 3 - 5 - 3*y to the form b*y**3 + k*y**4 + a*y + c + n*y**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 15) to base 12\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-7))\/((-2)\/(-14)). Let d = 0 - -3. Put d, 0.5, w in decreasing order.\nAnswer: d, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b508a (base 12) to base 2.\nAnswer: 11110000000100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 458*m + 125*m + 427*m + (m - 3*m - m)*(-2 - 5 + 6) - m + 2*m - 2*m to the form p + b*m and give b.\nAnswer: 1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -62 + -8*124\/(-32)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 + -182)*5*(-9)\/45. Solve u*n = 182*n - 36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6273092, -6273049, -6273006, -6272963, -6272920, -6272877?\nAnswer: -6272834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-4 + 6 + 2) - 16) + 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 u when three letters picked without replacement from {m: 3, u: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a + 2*a)*(0 - a + 0)*(77 + 16*a**2 - 21*a**2 - 2*a - 80).\nAnswer: 10*a**4 + 4*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 36\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 88692037.7 to the nearest 10000.\nAnswer: 88690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12388 is divided by 6186.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 16*q**2 + 14*q. What is v(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 8*b**2 + 10*b + 10. Let o be x(-9). Let w be (1 + -1 + -1 + o)\/1. Is 13 a factor of w - (-2)\/13 - (-1350)\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/18666 and -79\/89049264.\nAnswer: 267147792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 683*b + 131*b - 18594 + 18593 to the form r*b + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -50610972, -50610970, -50610968?\n\"Answer: 2*o - 50610974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -52 (b) 0.5 (c) -2\/5 (d) -3\/5 (e) -10 (f) -1182\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 8. Determine h(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/36 and 87\/364.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.3 - -6.3. Let p = -246 + 251.05. Let l = p - 0.05. What is the closest to 0 in f, -3, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536627.1 millilitres to litres.\nAnswer: 536.6271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 0 + q + 0 - 1. Suppose 4*b - 12 = 4*k, -6*b + b = 2*k - 8. Let z(p) = 0*p - b*p - 4 + 6. What is 3*v(m) + z(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 777b (base 16) in base 3?\nAnswer: 1112221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 227, -4, 1 in increasing order.\nAnswer: -4, 1, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1102, 1100, 1098, 1096, 1094?\n\"Answer: -2*p + 1104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -335, -5 in descending order.\nAnswer: 3, -5, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 19*u**2 + 8. Let f be r(-19). Let l be -8 + f - 2\/(-5). Which is the nearest to -1? (a) -1 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a - 8 = 0. Suppose -w - 4*v = 2 - 16, w = a*v - 10. Factor -9*g**2 - 3 + 6*g + 3*g**w + 0*g**2 + 3*g**2.\nAnswer: -3*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 9*b**2 + 12*b - 6. Let d be p(10). Let l = 20 - d. What is the remainder when 21 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 3)*(56 - 58 - 156)*(l**3 - l**3 + l**3).\nAnswer: 790*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 8:38 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 + -30. Suppose 4*g - a = 426. List the prime factors of g.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3017 and 35773.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = j + 7. Let b = j + 147. Suppose 29*t + b = 33*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 2:34 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13167506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -13*f + 12. Let w be z(-18). Suppose -5*q + w = -309. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/((88\/120)\/(-11))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4203510099 to the nearest integer?\nAnswer: 64834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3277?\nAnswer: 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 14. What is i(-14)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5332 + -7527. Is (-325)\/(-125)*(0 - u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -28. What is the smallest value in -3, p, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2395 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350415?\nAnswer: 3, 5, 13, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3540\/4*((-720)\/(-40))\/270.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000068211 rounded to 7 dps?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2641, -3204, -3767, -4330, -4893?\n\"Answer: -563*w - 2078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 15, z: 3}. What is prob of picking 2 w?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 7*l**2 + 14*l + 50. What is the smallest common multiple of 204 and f(-8)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {n: 9, z: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -18, -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 4)*(9 - u - 9) to h*u + a and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-5))\/(2\/(-20)). Let x(d) = -d. Let p(i) = -2*i - 3. Let c = 1 - 4. Let s(n) = -2*n - 4. Let k(m) = c*s(m) + 4*p(m). Determine y*k(z) + 9*x(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((7 - 3) + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -31. Let k be (-2)\/(q\/(-1)) + 15. Suppose h + 3*n - 1 = 0, -4*h + 3*n + k + 2 = 0. Solve 0 = h*p - 3*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnmrnmmmrrbbmbmbrr. Give prob of picking 2 m and 1 b.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -12. Suppose 19 = 2*a - j. Calculate the remainder when (23\/3)\/((-2)\/(-6)) is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1 - 0) + -125192)*((-980)\/(-84))\/(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14524 = o + 3*n, -5*o + 1271*n - 1272*n + 72578 = 0. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -284 + 314. Suppose -3*h + 2*h = 5, -5*y = -3*h - k. Solve -12 = -y*m - 3*a, 15 = -5*m + 4*a - 2*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-2)*(-20)\/15. Let u be 1570935\/40*w\/18. Let f = 8734 + u. Calculate the common denominator of -79\/18 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Suppose -3*y + y - 380000 = f. What is y rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o + 18. Let a = 3 + -6. Let l = 4 + a. Calculate the lowest common multiple of o and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o + 42282 = -21622. Is 29 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3063, 10311, 22383, 39273, 60975?\nAnswer: 87483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70)*2 + sqrt(70))*-5)\/(sqrt(40)\/sqrt(4)*4 + sqrt(10)) + -4.\nAnswer: -14*sqrt(7)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1725 and 52693.\nAnswer: 3951975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 4:00 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**(-2\/11))*i)\/i*i)**(9\/2)\/(i**8*i\/i**(-4\/15)) assuming i is positive.\nAnswer: i**(91\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b9 + 5?\nAnswer: 1be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 6 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5090721 to the power of 1\/2, to the nearest integer?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20121872 times 2?\nAnswer: -40243744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5)*(-885)\/354?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4)*m*m**(-6\/11)*m*m*m)\/((m**(-1\/7)*m)\/(m**8\/m)))**(2\/3) assuming m is positive.\nAnswer: m**(2879\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*7153912.\nAnswer: 7153912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 50 = -24*f. What is the remainder when 8 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315387 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.5, -0.4, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000845846 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1763635798?\nAnswer: 2, 43, 137, 149689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.878 - 6.44. Round x to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxsxxxxxsx. What is prob of sequence xx?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11813 + -11807. Solve -p*q + 10*q - 5*i - 19 = 0, 4*i - 28 = -4*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, v: 8, l: 5}. Give prob of picking 1 l and 2 v.\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -556*p + 5027. Give w(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3638 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 837, 836, 835, 834?\n\"Answer: -y + 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**4\/12 - 11*l**3\/6 - 2*l**2 - 8*l. Let b(k) = -7*k**3 - 28*k**2 - 2*k - 18. Let s be b(-4). Give n(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -71*w**2 + 31*w. Let k(v) = 47*v**2 - 20*v. Calculate -5*d(y) - 8*k(y).\nAnswer: -21*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/19, -2\/7, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alaleaolelllaellal. What is prob of picking 1 a and 2 l?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6 + 6\/10. Let m = 3\/70 + c. Suppose 5*q + 20 = -0*q. What is the second biggest value in q, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1890.48831 and 1.9.\nAnswer: -1888.58831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 - (2 + -5 + 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -44 + 1 + (7 - 4 - 2). Let p be ((-6)\/7)\/(g\/392). Let y(u) = 2*u. Give y(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2424653 = 90*o - 440120 + 753823. What are the prime factors of o?\nAnswer: 5, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5728, 5744, 5760, 5776, 5792, 5808?\n\"Answer: 16*w + 5712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67530 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*i - 70*i + 282 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84.8600098 * 4.\nAnswer: 339.4400392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/808586 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - (-1 + 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45*-55688\nAnswer: 2505960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a factor of 52908960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1962\nAnswer: 5886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*-4*sqrt(325) + sqrt(325) + 1 + sqrt(325) + -1 + 1.\nAnswer: 1 + 250*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-31)\/(-2))\/((-1)\/(-18)). Let n = -219 + s. Calculate the greatest common divisor of n and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 215*c + 28 - 1\/3*c**3 + 0*c**2 - 8*c**4. What is the first derivative of z(s) wrt s?\nAnswer: -96*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-20) + (-18)\/(-4) + -4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.139731 millimeters?\nAnswer: 0.8139731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w - 2*w + w + (-980 + 980 + 129*w)*(-1 + 3 + 1)*(-1 + 5 + 1)*(-2 - 2 + 5) as y + u*w and give u.\nAnswer: 1934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 - 4200)\/(16\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 25 + 28 = 0, 3187 = d - 3*p. Is 3198 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*d - 0. Suppose -5*c = h - 14, -4*h + 2*h - 11 = -d*c. Suppose -2*k = b - 13, 5*k + 4*b = -37 + 71. Solve -c*a + 5*a = -k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 1737.\nAnswer: 3474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -451*o**2 + 135*o - 262. Determine k(2).\nAnswer: -1796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 11:03 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 4*o**2 + 4*o + 33. Give k(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 10 = 4*b. Let g(m) = 3*m**2 - 2*m**3 - m - 1 + m**3 + m**b. Give g(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4828718 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -649, -1048, -1465, -1906, -2377, -2884, -3433?\nAnswer: -4030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6256 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(130) + (sqrt(130) - 3*sqrt(130)*2))*-3)\/((sqrt(70) + (sqrt(70) + -4*sqrt(70))*6)\/sqrt(7))*6.\nAnswer: 144*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 4:13 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-2))\/(9\/(-42)). Let o = x - -17. Calculate the remainder when 10 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -17.53. Let y = -5666 + 5665.73. Let n = h + y. What is the smallest value in 0.3, -0.1, n, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*a + 68. Let b = 1 - -2. What is the greatest common factor of b and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1342 + -204. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29158\/5 + -5690. Let v = y + -142. Put 5, v, -23 in decreasing order.\nAnswer: 5, v, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1699?\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -72530.286962 - 2?\nAnswer: -72532.286962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139 - -142. What is the remainder when 56 is divided by ((-490)\/b)\/(-5) - 4\/(-12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288 - 290 - (1 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 3*d - 6*d**2 + d + 4 - d**3. Let w = -10852 + 10849. What is a(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -25580*c. Let i(n) = 18*n**2. What is o(i(u))?\nAnswer: -460440*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962 = 12002*w - 5993*w - 5983*w for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -155498792\/391237 + -12\/35567. Let u = 396 + p. What is the common denominator of 97\/6 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9581, -38721, -87977, -157913, -249093, -362081?\n\"Answer: -94*s**3 - 9494*s**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (960\/16)\/(-15)*(-27)\/(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -59 - -24 - (7 + -22). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**3 + 21*s**2 + 6 + 0*s**3 + s**3 + 3*s**3 + 22*s. Let o be k(22). Let h be (0 - o)\/3 - -4. Solve -4*f - q + 7 = h*q, -5*f + 2*q + 26 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -90, -3 in descending order.\nAnswer: -2, -3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0289459325 rounded to six decimal places?\nAnswer: 0.028946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 462819.8 decades?\nAnswer: 4628.198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-185)\/(-20) - (-1)\/(-4). Let x = g + -5. Suppose -s + 10 = -3*n, 3*n + 70 = x*s + 6*n. What is the remainder when 31 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 27. Let y(t) = -t. Let o be y(s). Suppose -4 = -h + o. Solve 4*j - 2*p - 22 = -0*p, -h*p = -2*j + 23 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*o. Suppose 34 + 2 = 4*w + 4*j, 5*j - 5 = o. What is the greatest common divisor of w and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 9:37 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1640600 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1870 and 314347?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/84)\/((-24)\/(-14))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*sqrt(224)\/sqrt(4))\/(sqrt(8) + sqrt(800)*2))**2.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 726633252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56451*p**3 + 2*p**2 + 56642*p**3 - 2*p**2 - 113095*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -36. Suppose -11 = 2*i - f. Suppose 3*t + i*l = 0, 25 = -5*t + 5*l - 0*l. Which is the second biggest value? (a) t (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-56))\/((-21)\/14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*l, 291992 = -0*d + 2*d - 4*l. What is d rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0 (c) -221\/10 (d) -2\/3 (e) -0.054 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 4:11 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2580 + 7738\/3. Which is the second biggest value? (a) -2\/9 (b) 30 (c) -3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29.172 and 980001.\nAnswer: 979971.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - l - 2)*(1 + 0 - 7)*(6*l - 2*l - 3*l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u. Let l(n) = -28930*n. What is c(l(w))?\nAnswer: 115720*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*6\/(-108) - (-101)\/(-9). Suppose 3*b - 4*t - 70 = 0, 0 = 3*b + 2*b + 4*t - 170. Let p = b + l. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552.8 rounded to the nearest 10?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**4\/f*f*f**(1\/3)*f**(-2\/3)\/f*f**(1\/2)\/f)**(-34))**(-8) assuming f is positive.\nAnswer: f**(2584\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.8 - 19.79. Which is greater: n or 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -548, -561, -590, -641, -720, -833, -986?\nAnswer: -1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16348708.1 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-117)\/(-12) + (-8)\/(-32). Suppose 3*i - v = -2*t, 4*i + 10 = -5*t + 7*t. Let c be 0 - 1\/((-4)\/16). Solve c*n - 7 - 1 = i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.72086g to micrograms.\nAnswer: 64720860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -0.4. Let a = 25916.9 - 25917. Let v(n) = -n**2 + 4*n - 3. Let c be v(3). What is the nearest to c in a, x, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05435 + 12902\nAnswer: 12902.05435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21866 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u - 5. Give f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 176814553, 353629105, 530443657, 707258209, 884072761, 1060887313?\n\"Answer: 176814552*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 219216?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273565 - 273565 - 7*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76 - 2?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 - 5 + 5)*(-1 - 1 + 0) - 77*t**2 - 108 + 39*t**2 + 106.\nAnswer: -30*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16424.42 + 16180. Round u to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1944.99993616 - 1945. Round s to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*a - 259 - 115, 0 = -4*y - 4*a + 536. Suppose -2*v = v + 2*i - y, -131 = -3*v - i. What is the least common multiple of 12 and v?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 0 - (19 + -40 + 31 + -15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*n - 28, 0*s + 2*s = -5*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -515704 (base 9) to base 8\nAnswer: -1125546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 20*f - 127. Let y be x(6). Let j = -17.9 - -18.1. Which is the nearest to y? (a) 2\/5 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85629 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - u + 70. Let x be 0*(-2)\/4 - 0. Let i be s(x). Calculate the highest common factor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 4*v**2 - 5. Let y(d) = -d**2 - 5*d + 1. Let p be y(-4). Let n be l(p). Find the common denominator of -7\/11 and (-2 - -5)*(-87)\/n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*n - 255 = -272 - 1369 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13212 (base 10) to base 6.\nAnswer: 141100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 39. Suppose -3*x + r = 2*x. Let q(u) = u**3 - 3*u**2 - 5*u + 5. Calculate q(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16439 or -233?\nAnswer: -16439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805141 a multiple of 805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133 + 99. Let l = -30 - v. Solve 2*k = -0*k - l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.55 and 34417.16.\nAnswer: 34416.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 602.5038ms?\nAnswer: 602503800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3296 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -15. Let j(d) = -3*d. Let r be j(a). Suppose -l + 0*z + 111 = -4*z, -z + 5 = r. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640*a + 10818 = 39*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 u when three letters picked without replacement from {n: 1, u: 2, f: 4, l: 3, v: 2}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1586 - 1591. Let m = -0.1 - -0.3. What is the smallest value in j, m, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5081 is divided by 625?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkkkkkkr. Give prob of picking 3 k.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.1131532 and 3.\nAnswer: -21.3394596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21262 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnqanlnnnlnnnnanak. Give prob of picking 1 k, 2 a, and 1 q.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7020134.\nAnswer: 2, 11, 319097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -38. Suppose 15*z**3 + 32*z**4 + 5*z**5 - 21*z**4 + 9*z**o = 0. What is z?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6948*n*t + 10302*n wrt t.\nAnswer: -6948*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p - 43*p + 682541 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q + 507*q - 101*q + 660*q.\nAnswer: 1032*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-5) + 546\/105. Let r be 2 - g\/((-15)\/12). Is 9 a factor of ((-9)\/r - -2)*36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 112*c - 3*c**2 + 92*c - 3 + 3*c**2 - 3*c**4 as y*c**3 + h*c**2 + j + k*c + d*c**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, y: 3, i: 11, u: 3}. Give prob of picking 2 i and 1 f.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4185 and 5022?\nAnswer: 25110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 6 = -v. Suppose -2 + 1 = t. Let m(h) = 4*h + 1. Let z be m(t). Which is greater: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 + 190 - (-4 + (72 - -7)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22 - 19 - 9*s**3 + 16 - 5 wrt s?\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n + 2*x = -30, -5*x + 45 = -2*n. Let j be -3 + (-5)\/(n\/(-8)). Let l be 4\/j*(-3)\/6. Is 1 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -11 + -4 - -15) + (-3 - -54).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108.12 - 0.88. Let z = s + 106. Let f = -0.1 + 0.6. Which is the nearest to 1\/4? (a) f (b) -0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by 319480?\nAnswer: -41\/159740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92716 and 2781480?\nAnswer: 2781480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-12)*w)))\/w**(-1\/4))\/(w\/(w*w**2))**(-1\/9) assuming w is positive.\nAnswer: w**(-395\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/517 - -1572\/3619. What is the biggest value in 1, -141, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 0.3337759.\nAnswer: -0.2337759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 694724749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 434.000000159 - 434. Round h to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuu. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.9? (a) 4\/5 (b) -4 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a century in decades?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 2*o**2 - 7*o + 2. Let m(k) = 4*k**3 + 7*k**2 + 22*k - 7. Let v(p) = -2*m(p) - 7*s(p). Find the second derivative of v(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 1, 0.3, 0.08, 0.4, -54\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2 (c) -0.01351 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 8:28 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/1560 and 161\/535860?\nAnswer: 1071720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oloo when four letters picked without replacement from {o: 5, b: 5, l: 5, q: 2}.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 1518464?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*v + 6*v. Let o be (v\/4)\/(1\/(-4)). Suppose o - 12 = -3*s. Solve -2*b + s*r - 5 = 0, 0 = 2*b + 4*r - 13 - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -24. Let u be b\/(14\/(-4)) - -10. Solve 2*v + 0*i = 2*i - u, -8 = -4*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/(-9) + -1)\/((-2)\/(-597)). Is t\/(1\/(5\/10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 + 79 = 24*f + 36 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 1 = 9*i, -13*z + 17 = 4*i. Put z, -0.4, 21748 in descending order.\nAnswer: 21748, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.44, 6.\nAnswer: -0.44, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9465 take away 215?\nAnswer: -215.9465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1268*y**2 - y - 3327 wrt y.\nAnswer: -2536*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 1\/2 (b) -6 (c) 1655\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -44, -75.\nAnswer: -75, -44, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.2 times 22?\nAnswer: 378.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - j = -2, 0 = -y - j - 3 + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m + 3*m - 144. Suppose -4 = m*n - 94. What is the highest common factor of 80 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/3, -0.07, 2\/3, -1, 4 in increasing order.\nAnswer: -1, -0.07, 2\/3, 4, 16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109 and 12918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4379 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (0 + -2 + (5 - 14) - (36 + 19))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 185*v + 62. Is p(2) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -41, 2\/5, 172, -1\/9, -8\/5 in descending order.\nAnswer: 172, 2\/5, 0.3, -1\/9, -8\/5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*z - 120*z + 4508 = -381*z for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 4:14 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 385, 784, 1183?\n\"Answer: 399*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 460159332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355197.\nAnswer: 3, 118399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 - 43*q + 44. What is l(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(4)\/sqrt(2))**2 + -1 + (sqrt(8) - (4 + (sqrt(512))**2)).\nAnswer: -519 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*2 + (-1660)\/(-4731)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*f - b + 14, 0 = -4*f + 4*b - 32. Let a(q) = -q - 6. Calculate a(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and ((-41)\/5 - -9)*82330\/4.\nAnswer: 82330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206773923 is divided by 382.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104\/9525 + -2\/127. Is 0 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 15, 3*m + 7*o = 10*o + 51. What is the remainder when 69 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(156)*4)\/(-5*sqrt(12)*1)*6.\nAnswer: -48*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-1)\/(-540)*2). Let h(w) = -w**3 - 32*w**2 - 111*w + 58. Let s be h(-28). What is the highest common factor of u and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 537, 536, 535, 534, 533, 532?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18582802 divided by 1327343?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -16. Let c be 4 + (0\/y - 1). What is the third derivative of 9*p**2 + c - 3 + 0*p**3 - 8*p**3 wrt p?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 7*o**2 + 2*o + 13. Let r be m(-7). Let f be -8 - -11 - (-3)\/r. Which is smaller: f or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c - 18. Let a(g) = g + 15. Let t be a(-19). Let v be r(t). Sort -4, v, 5, 3 in descending order.\nAnswer: 5, 3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-22\/5)\/a)**20\/(a**(-4))**(-1\/10) assuming a is positive.\nAnswer: a**(-542\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 209363\/154*(-4)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(-2*p + 3*p + p) - 1 + 1 + 2*p - 1 + 1 + 3*p + (-3 - 2 + 3)*(-2*p - 4*p + 3*p) to k*p + c and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4366 + 6257. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 0.0998.\nAnswer: 4.0998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.3048882 rounded to 3 decimal places?\nAnswer: 60.305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/2 - 1904\/204. Suppose 2*v = 2*v + 8*v. Let j be -3*(-3)\/10 + v + -1. Which is the nearest to 1\/4? (a) j (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 295, 296, 289, 268, 227, 160?\n\"Answer: -r**3 + 2*r**2 + 2*r + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205 by 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.401804 litres in millilitres?\nAnswer: 3401.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -683\/35 - -99\/5. Let r be (-8)\/(-24) - (-1)\/(-4). Which is the closest to 2\/7? (a) -2\/9 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43801 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580931045 to the power of 1\/2, to the nearest integer?\nAnswer: 39761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3224 + -1?\nAnswer: -3225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2713.18 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/15, -0.4, 0, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.211 and 1.0672250766.\nAnswer: 0.8562250766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-2*(3 - (-10)\/(-4))). Suppose 0*l**2 + 0*l - 3\/4*l**3 + 3\/4*l**o + 0 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 1:03 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 141 = 154. Let q(k) = -53*k**2 - 7*k - 13. Let f(i) = 107*i**2 + 15*i + 27. Let a(d) = n*q(d) + 6*f(d). Find the second derivative of a(h) wrt h.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(1881\/(-44)))\/((2072\/(-1722))\/(-37))?\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1683819?\nAnswer: 4\/1683819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 29*u + 72. Determine n(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -66, -62, -56, -48?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2538, 2536, 2534?\nAnswer: 2532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.098 - 38.098. Let t = 37.752 + v. What is t rounded to 2 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294056 divided by 2492.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 7*i**2 + 6*i + 6. Let d(a) = 2*a**2 + a - 8. Let k be d(-7). Let x = 89 - k. Give t(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 385*s - 2223984 = 49*s. List the prime factors of s.\nAnswer: 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -38 - 18*r + 37*r + 0*r + 71 - 35. What is y(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32 and -8.987.\nAnswer: -40.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s - 150 = -27*s. Suppose -376 + s = -2*r + 3*g, 12 = -3*g. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6758, 14069, 22676, 33227, 46370, 62753, 83024?\n\"Answer: 108*w**3 + 6555*w + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 - 4*o**3 - 20*o**2 + 517 - 2975*o + 2977*o as t*o**2 + f*o**3 + q + n*o and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -565.632 + 535.7. Let w = -30 - d. Let b = w - -0.041. Round b to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 2*o + 4. Let c be t(0). Suppose 0 = 3*s - 0*s - 4*y - c, -2 = -s + 2*y. Suppose q - 9 - 24 = s. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -69570 and -3.\nAnswer: 208710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -7. Let l(u) = 0*u**h + 0*u**2 - u**2. Let x(a) = 2*a**2. Determine x(l(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12788?\nAnswer: 2, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*u = 72, -2*i = -u + 4*u - 14. Suppose 3*s = 3*l + 66, 4*l - 67 = -3*s + i. Solve -15 = -4*k - 3*v - 5, 4*k - 4*v - s = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w - 6*w + 25*w - 10*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 628 in 1\/5, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**4\/12 + 2935*k. Let l(i) = 13*i - 45. What is l(a(f))?\nAnswer: -13*f**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 - 2*v - 11. Let z(r) = 2*r**2 + r + 6. Let q(k) = -6*u(k) - 11*z(k). Determine p, given that q(p) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001322 to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 21672093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = 3. Suppose y*c + 8 = r - 0*c, 3*c = 5*r - 16. Is -110*((-1)\/r)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3267 rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3978 is divided by 1226.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79098, -79057, -79016, -78975, -78934?\n\"Answer: 41*l - 79139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -211, -27\/32, -5?\nAnswer: -27\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5077.5 - -4552.545. Let z = 2.645 - m. What is z rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -16 + 0 + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306, -779, -1602, -2949, -4994, -7911?\nAnswer: -11874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6304 is divided by 604.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8655.3919 rounded to the nearest 100?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 2. Let l = -45 - -43. What is o(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 116*z**3 + 10*z**2 + 9*z + 4. Let j(x) = 136*x**3 + 12*x**2 + 11*x + 5. Let t(h) = 5*j(h) - 6*v(h). Let n = 3 + -4. Determine t(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 151. Let w be b(27). Suppose -4*y + 2614 = -w. List the prime factors of y.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11157.96 plus -0.0027?\nAnswer: -11157.9627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 348\nAnswer: -31\/348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s = -36*s + 360 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(84) - (sqrt(84) + 1*sqrt(84)))*4)\/(sqrt(7) - 1*sqrt(252)))\/((sqrt(36)\/sqrt(3)*1)\/(sqrt(200)\/sqrt(4))).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*h**2*l - 291*h*l**2 - 942*l**2 wrt h.\nAnswer: -8*h*l - 291*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*y + 49473 = 2244*y + 371249 for y.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/2)\/t*t**(-1\/3)*(t\/t**(3\/5))\/t*t*t*t**(1\/14)*t*(t*(t**0*t)\/t*t)**(-18)*t**4*t*t**3*t assuming t is positive.\nAnswer: t**(-2558\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 58, 88, 118, 148?\n\"Answer: 30*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*x = -69, -112*r + 114*r + 4*x + 23 = -31 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*a**2*c**5 + 7*a**2*c**2 - 5*a**2 + a*c + 4*a + 8*c wrt c?\nAnswer: 220*a**2*c**3 + 14*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27290382.\nAnswer: 2, 3, 7, 649771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 29, 88, 203, 392, 673, 1064?\n\"Answer: 3*f**3 + f**2 - 3*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/6 - 14527*k**3\/3 + 639551*k**2\/6 - 586366*k = 0. What is k?\nAnswer: -29076, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -50 + 11*s**2 + 12*s**2 - 177 + 33*s**2 + 18*s**2 + 42*s. What is the derivative of w(k) wrt k?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o - 5*x = -8, 5*x = -4*o - 4. Let t be (10 + -3)*(-30)\/35. Let r be (10 + t)\/(-8)*-4. Sort -2, 4, o, r in decreasing order.\nAnswer: 4, r, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 3*o - 28. Let p be y(4). Solve k + p*k + 5 = 3*q, 3*k - 12 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 6*c + 744 = -29*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47306?\nAnswer: 2, 7, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-3 - -2 - (27 - 27)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 124 + 204 = -12*h + c, -2*h + 5*c = -342 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 323*h**5\/5 - h**4\/6 + 859*h**3\/6 + 1558*h - 2. Find the third derivative of y(m) wrt m.\nAnswer: 7752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34933.89l to millilitres.\nAnswer: 34933890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 999028739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from yyyysyyyysyyyyyyyysy.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17489, -17662, -17835?\n\"Answer: -173*n - 17316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, b: 6, q: 2, e: 2, n: 1, h: 3}. What is prob of picking 1 b and 2 q?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 1:52 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -81.2 and 0.7?\nAnswer: 81.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + m. Find the third derivative of 4*d**5 + m*d**5 - 2*d**5 - 2*d**2 - 3*d**2 wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + -45. Suppose 0 = -4*a + d + 4*d + 15, -b*d + 4 = 0. Solve -t - a*i = -16, -2*t = -5*t - 4*i + 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * 22\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, x: 2, o: 4, a: 4}. Give prob of picking 1 o and 3 a.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*c**4 - 11*c**2 + 7*c**2 - 2*c**4 wrt c?\nAnswer: 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1537 and 56?\nAnswer: -86072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 s when four letters picked without replacement from wxnjnswnsnxsxwn?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 12\/25 of a minute?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-90))\/(((-640)\/(-315))\/(-64)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 84054.54 centimeters?\nAnswer: 840545.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-10))\/(2 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) - 7\/(-28). Let l = -9 - -29. Suppose 3*k = 3*r - 0*k - 3, 0 = -4*r + k + 7. Solve 3*w + 18 = -2*o, r*w + l = -4*o - i*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h. Let s(y) be the second derivative of -y**4\/12 + y**3\/3 - 9*y. Give s(t(n)).\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 8) to base 7.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 48 - 56. Calculate the highest common factor of v and 871.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -23 - d + 13 + 10. Let v(n) be the first derivative of n**2\/2 - 2. Give v(o(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/105 and 53\/297825.\nAnswer: 2084775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1100, 1110, 1114, 1112, 1104?\n\"Answer: -3*w**2 + 19*w + 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -304 = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a week in hours?\nAnswer: 3444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let j be i(-4). Suppose 0*z = -z + j. Suppose -2 = -2*a + z. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.6427 + 0.08?\nAnswer: -6.5627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -11. Suppose -h = -10*f + 9*f. Suppose -f = 2*g - 5*v, -3*g - g + 5*v + 6 = 0. Solve g*o = -4*d - 4, 5 = -o - 0*d + 3*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -8669?\nAnswer: -2\/8669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 4, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -354148*j. Let r(c) = c**2. Calculate x(r(o)).\nAnswer: -354148*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-33)\/22)\/(3\/(-296)) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 381 and 1016?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 8517025.\nAnswer: 76653225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 times -0.07?\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10347*m - 62167. What is f(6)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) - (1 + sqrt(98) + sqrt(98))*6)) + (3*((sqrt(98)*-1 - sqrt(98)) + sqrt(98) - sqrt(98)) - sqrt(98)) + -2)**2.\nAnswer: 280*sqrt(2) + 2466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 34*z + 157. Suppose -18 = 3*f + 2*b - 75, 0 = 3*f + 5*b - 57. Let u be x(f). Round u to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388*p - 75 = 373*p. Let v(k) be the third derivative of -10\/3*k**3 + 0*k**4 + 0*k + 11\/60*k**p + 3*k**2 + 0. Differentiate v(s) with respect to s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -6.1 (c) -3 (d) 0 (e) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 - i**3 - 38283*i + 38284*i + 0 - 1 - 168*i**2 in the form x*i + p + g*i**2 + r*i**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(1\/2)*u*u))\/((u**(-14\/3)*u)\/u))\/((u**(5\/2)*u)\/u*u*u\/(u**(-4)*u*u*u)))**(-6\/29) assuming u is positive.\nAnswer: u**(14\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7888 (base 10) to base 5\nAnswer: -223023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -9.7. Let t = -0.8 - z. What is the third biggest value in 2, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 2}. Give prob of sequence zzq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 72734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 4*l - 2. Let z be y(-6). Suppose 3*i = z*i - 14. Let s be (-8)\/(-52)*(i + -3). Sort 4\/3, s, -5 in decreasing order.\nAnswer: 4\/3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 978*d = -979*d + 39, -5*v - 2*d + 78 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2 + -5*(2*sqrt(1100) - sqrt(1100)) + -1 + 3 + -3)*-5)**2.\nAnswer: 9500*sqrt(11) + 687861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 5, e: 6, f: 3}. Give prob of sequence emf.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16737 = 3*s, 3*s - 12528 = o + 4209. Solve -s*x + 40 = -5584*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*a = -0*o + 56, 0 = 3*a. Calculate the lowest common multiple of -6 + 10 - (-60)\/3 - -4 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 28517638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(((-6)\/(-4))\/(-3))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2677979, 5355959, 8033939, 10711919, 13389899, 16067879?\nAnswer: 18745859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36772?\nAnswer: 2, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1012 divide 576298984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 16*d**2 - 20*d - 59. Give o(-15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -12221?\nAnswer: 12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*x - 86, -5*c - 163 = -0*c - 3*x. Let a = 96 + c. List the prime factors of a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2905975484 to the nearest integer?\nAnswer: 53907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 2*q**2 - 7*q - 2. Let g be d(4). Find the third derivative of -2*l**5 - 2*l**3 - g*l**2 + l**5 + 0*l**3 + 3*l**2 + 3 wrt l.\nAnswer: -60*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 8:58 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102803147 by 47.\nAnswer: -2187301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.43191 to 2 dps.\nAnswer: -7.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/70 + (-2)\/(-5). Let h(r) = r**3 + 11*r**2 + 12*r + 15. Let o = -11 + 1. Let w be h(o). Sort w, m, -0.5 in ascending order.\nAnswer: w, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 240321512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(130*g - 5*g + 6*g) - 1 + 1 + g + (5*g - 2*g - 5*g)*(6 - 2 - 2) - 1 - 2*g + 1 + 0*g + 4*g - 2*g + 3 + 2*g - 3.\nAnswer: 130*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 29*p**2 - 16*p**2 - 1 + 31*p**2 + 15*p**2. Suppose -j = -3*j - 2. Is w(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 - 69. Calculate the greatest common factor of u and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/2)\/(20\/(-80)). Find the second derivative of 4*g + 13*g**4 + 6*g**5 - 9*g**4 - i*g**4 wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - l**2. Let b(o) = -28*o**3 + 12*o**2 + 4. Let z = -4 - 8. Let v(i) = z*g(i) - b(i). Differentiate v(p) wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (11 + 1 + -10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2235696, 2235529, 2235348, 2235147, 2234920, 2234661, 2234364, 2234023?\n\"Answer: -g**3 - g**2 - 157*g + 2235855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13481 and 1547.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-2 - -4) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21672 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {n: 7, p: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 603639 and 57949344.\nAnswer: 57949344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 391*p**2 - 13*p - 4. Does 5 divide n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37437957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -621332*k**2*w**4 - k**2*w - 231*k**2 - 19*k + w - 1 wrt w.\nAnswer: -7455984*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**2\/2 + 1. Let i(o) = -8*o - 8*o + 15*o. What is i(v(z))?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 41*s - 1382. Calculate h(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 14960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(10\/19) - -3. Let d = -1 - 0. Let p = d - -1.2. Put p, 4\/7, m in ascending order.\nAnswer: m, p, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**3 - 2*t. What is b(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Let v(u) = 239*u**2 + 281. Determine b(v(w)).\nAnswer: -478*w**2 - 562","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 29205*p - 29208*p + 6 - 2 + 0.\nAnswer: -3*p + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 5. Let v(s) = 84 - 78 + 5*s + 3. Give 7*t(h) + 4*v(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2112140 - -5222?\nAnswer: -2102514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 6) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*r + 20 = 0, -8 + 0 = 7*d - 9*d + 4*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -2*z + 5*j, 3*z = -7*j + 11*j - 25 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 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: Sort -258, 3, -2, 70, 8, -3 in decreasing order.\nAnswer: 70, 8, 3, -2, -3, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 24.6. Let z = p + 0.6. Let t(f) = -5*f**2 - 180*f - 1441. Let o be t(-24). Which is the third biggest value? (a) z (b) o (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 54. Let p be 14\/u + -3 - -41. Let t = 48 - p. Solve 4 = d - t*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127.9 times -0.4\nAnswer: -51.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4423933916 to the power of 1\/3, to the nearest integer?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28404268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -218, 2, 4, 1 in ascending order.\nAnswer: -218, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(1*sqrt(5)))**2 + sqrt(1100)*5.\nAnswer: 11 + 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l**2 + l - 6. Let b be p(-1). Suppose -4*q = -w + b, -17*q + 22*q - 2*w = -9. Put 1.1, -1, -2, q in ascending order.\nAnswer: q, -2, -1, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-seven fifths of a century?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 0 - 4)*(3 + 0 - 5) - 2 + 2 + 1 + 1 + 3 - 2)*(u**2 - 61*u + 71*u + u**2) as q*u + h + j*u**2 and give q.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -21*m**5 - 4*m**4 + 2*m - 10. Let p(q) = -22*q**5 - 3*q**4 + q - 9. Let u(k) = -4*p(k) + 3*v(k). Find the second derivative of u(h) wrt h.\nAnswer: 500*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1244 + 1244. Let w(z) be the second derivative of 0 + v*z**2 + 1\/90*z**4 - 1\/45*z**3 + 10*z. Suppose w(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1575 is divided by 378.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v - 10034 = -5*b - 16*v, 2*v - 8028 = -4*b. Suppose 6*h = b + 2744. What is the common denominator of 181\/30 and (-9)\/(81\/(-2)) - 3164\/h?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - j - 20)*(-485*j**3 - 5136*j + 5136*j) to the form c*j**2 + z*j**3 + q*j**4 + r*j + h and give q.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -36\/34320103?\nAnswer: -36\/34320103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 122\/10 - (-6)\/(-30). Let j be 8\/i*(-15)\/(-2). Let y = -13 + 9. Sort j, y, -5 in descending order.\nAnswer: j, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b**3*d**2*v - 3*b**3*d*v**2 - 2*b**3*d*v + 2*b**3*d + b*d**2*v**2 - 2*v wrt v?\nAnswer: -6*b**3*d + 2*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*(-300)\/144*(-2)\/10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*u + 41 = 0, -3*u + 69 = 5*p - 6*u. Let m(c) = 2*c**3 - 121*c**2 - 59*c + 23. Calculate the remainder when m(61) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-171)\/(-342)*(-2 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 q when three letters picked without replacement from ttqtbbtttqt.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10029 - 0.5.\nAnswer: -10029.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(7\/5)*m**1 assuming m is positive.\nAnswer: m**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -1\/105*q**7 + 0*q**6 + 1\/6*q**4 + 0*q + 0*q**3 - 15*q**2 + 1\/10*q**5 + 0. Find o, given that h(o) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/40, 0, 7, 2950.\nAnswer: 0, 3\/40, 2, 7, 2950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.94 - 0.06. Let h = -2\/13 + 19\/39. Which is the closest to m? (a) h (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(24\/(-18)) + 4)*2. Solve 0 = s*w - 2*p - 18, -w - 3*p = -3*w + 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59\/4 - 15. Let h(t) = -t**2 - 7*t - 4. Let m be h(-5). Let o be 4\/m - 1\/(-3). Is o < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 4)*(-2*t - 3*t + 0*t) - 2*t - 4*t + 5*t + (3 - 1 + 0)*(t + 4*t - 3*t) to s*t + u and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 64 + 40 = 0. Let d = -2 - -5. Suppose g + d*g = s. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o - 7*o - o - 1 - 701*o**2 + 5 - 2 to l*o + q*o**2 + x and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 13*n - 7. Let u(k) = k**2 - 11*k - 6. Let x(i) = -5*d(i) + 6*u(i). Let j(w) = 7*w**2 - 9*w - 4. Determine j(o) - 6*x(o).\nAnswer: o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 49*x**2. Let w(m) = 15*m + 21. Give i(w(h)).\nAnswer: 11025*h**2 + 30870*h + 21609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -27*b**2 - 322*b + 27. Let x be l(-12). Sort x, -1090, -2 in ascending order.\nAnswer: -1090, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*o + 124 = 0, 2*p - 7*o = -3*o + 56. What is the highest common divisor of 20 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-4 - -8) + -5 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 7 - 2 - 3*b + 0 in the form f*b + o and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17 - 1)*(2 - (-21)\/9). Let c = i + 79. Let s(j) = 8*j**2 + j - 2. Is 3 a factor of s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 269 - -202. Suppose 10*f - d = 299. Calculate the remainder when (-2 + 1 - f)\/(-1) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*p - 12, 5*n + 4 = -2*p - 2. Suppose y - p*l + 296 = 6*y, -3*l + 299 = 5*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 + 47. Let q(x) be the second derivative of -x**5\/20 - 5*x**4\/12 - x**3\/3 + 3*x**2\/2 - 329*x + 5. Determine q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 776668?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663.5635 days to seconds.\nAnswer: 57331886.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + a - 6 = 0, -5*g + 5*a = -2*g - 16. Suppose -21 = m + 5*j, g*m + j - 4 + 1 = 0. Solve m*l + 6 = -2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-2)\/(3 + 15\/(-3))). Suppose -4*y + v = -45, -2*y + 30 = 5*v - 3*v. Differentiate 5*r - 13*r**2 - o*r + y + 11*r**2 with respect to r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u\/(u\/(u*u**24\/u)*u)*u*u))\/((u*u**(-8\/7))\/u) assuming u is positive.\nAnswer: u**(-174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04191248 from 21.\nAnswer: 20.95808752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6768082491018 - 6768082491018 + 5*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*s - 13 = -6*s, 5*j = 2*s + 31. Let a = 10 - j. Sort 1, -3, a in descending order.\nAnswer: a, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7925, 6238, 3433, -490?\n\"Answer: -559*w**2 - 10*w + 8494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4510 and 97826?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 211, 229, 263, 319, 403, 521, 679?\n\"Answer: j**3 + 2*j**2 + 5*j + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*t**4 + 23*t**4 + 5*t**5 + (-t - t + 4*t)*(35*t**3 + 11*t**4 - 35*t**3).\nAnswer: 27*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**3\/3 + d. Let s = 6 + -4. Let p(z) = 8*z - 3*z - 4*z**s - 5*z. Give p(h(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*p + 751*p - 568*p + 2466 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**4\/8 + 13110*q**3 - 367017*q**2\/4 + 91746*q + 1572885\/8 = 0.\nAnswer: -1, 3, 5, 34953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2067581413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -16*d - d + d + 5*d. Let v(u) = 13*u**2. Determine v(g(x)).\nAnswer: 1573*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5693*r - 70 = -5688*r. Put -2, -6, r in descending order.\nAnswer: -2, -6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 864*u - 11 = -869*u, c - 3*u + 11 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - k**2 - 1. Let v(n) = 22*n**3 + 10*n**2 + 10. Determine 10*c(y) + v(y).\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 11*x**2 - 13*x + 50. Let a be n(-9). Solve -5*c = a*s - 15, 2*c + 16 = 3*s - 2*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*l + 35 = -w, 3*l = -4*w + 42. Let j be ((-9)\/1)\/(4\/(-36)). Calculate the greatest common factor of w and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/693)\/(104\/(-936))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -114323444 (base 5) in base 10?\nAnswer: -542374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4042, 334, 2 in increasing order.\nAnswer: -5, 2, 334, 4042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*l**2 + 18*l**2 + 59*l**2 - 2*l**2 to i + o*l**2 + v*l and give o.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3103 - 1131101331?\nAnswer: -1131032222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3266365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3989*h + 3990*h + h**5 + h**5 - 25 + (2 - 5 + 1)*(0*h**5 - 4*h**5 + 2*h**5).\nAnswer: 6*h**5 + h - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 4. Let v be n(4). Suppose 5*s = -2*q + 24, v*q = 5*q - 5*s + 10. Find the third derivative of f**2 + 4*f**3 - 3*f**2 + 3*f**2 + f**q wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.26?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.10026\nAnswer: 0.40104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 18)\/((-9)\/(-6)). Let i(x) = x**3 - 15*x**2 + 15*x - 10. Let y be i(p). Solve y + 0 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -413149 * -3.\nAnswer: 1239447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -15*m**2 + 2*m + 7. Suppose 3*o = 4*i - 19, 0 = i + 3*o + o - 19. Let n(x) = 15 - x + 124359*x**2 - 124352*x**2 - 18. Determine i*n(d) + 3*w(d).\nAnswer: 4*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6613, 6584, 6539, 6478?\n\"Answer: -8*a**2 - 5*a + 6626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1031458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 5:30 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - 12)*(0 - -1). Let c be (-62)\/z - 3\/9. Let n be (0 + 6)*c\/5. Solve -3*d + 4*v - 10 = 0, -3*v - n = 4*d - 7*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1645\/1742?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, j: 3, y: 1, o: 4, r: 1}. Give prob of picking 1 y, 1 k, 1 o, and 1 r.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + 14. What is the remainder when 148 is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24295510 = -5*t - 8053390. Suppose 1271576 = -4*i - t. Round i to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from accacah.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 5*o + 8. Let y(t) = -208*t + 104*t + 3*t**3 + 1 + 3*t**2 + 101*t. Let a be y(1). Determine f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1604 - 1599. Sort -38\/5, l, -0.2 in ascending order.\nAnswer: -38\/5, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12640 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3 and 50\/1417.\nAnswer: 4251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n + 3*n - 6*n - 4*n**2 + 3*n**2. Is a(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 6. Let s(x) = -6*x - 3. Let a be s(-1). Solve -a*k = o*j - 2, k + 12 = -k - 4*j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**5\/60 - h**4\/8 - h**3 - 118*h**2. Let v(r) = 2*r**2 - 5*r - 11. Determine 5*n(u) - 3*v(u).\nAnswer: -u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-385)\/(-66))\/7*-2*(-12)\/16.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*z - 25. Let t be (-52)\/(-1 - (2 - 1)). Suppose b + 0 + 7 = j, 2*b = 5*j - t. Sort 5, z, b.\nAnswer: z, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 9. Let p(x) = x**3 + 12*x**2 - 15*x - 13. Let v be p(-13). Suppose -v*n = -8*n. Let l be o(n). Sort l, 4, -2 in ascending order.\nAnswer: -2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4*d - 48, 4*b + 3*d - 67 = -5. Let t be b + (0 - (-4)\/2). Let q = t + -8. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 35 (c) 3 (d) 0.02 (e) 1506\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61884 - 153714. Round f to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (-5 - (12 + -16)) + 3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -267.\nAnswer: 266.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3 = -5. Suppose -3*y - y + 1066 = o*x, 0 = -4*y - 16. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12 + (-253)\/22)*0. Suppose -4*j = -12, -6 = 2*a + 2*j - 20. Factor 0 - 32\/9*c**3 + k*c + 14\/9*c**a + 8\/9*c**2.\nAnswer: 2*c**2*(c - 2)*(7*c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/9360 and 121\/2080.\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.275 + 0.31. Let t = x + -5.035. Let d = -1.5 + 1. What is the second smallest value in t, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -1\/2388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48535213 and 11.\nAnswer: 533887343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1547 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3066822?\nAnswer: 2, 3, 11, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206060 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 9624?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 53, 101, 149, 197, 245?\n\"Answer: 48*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 7*s**2 + 9*s - 3. Suppose -3*f + 15 = 2*f. Let w(v) = -8*v + 4. Let p(h) = 7*h - 4. Let r(y) = 4*p(y) + 3*w(y). Let o be r(f). What is l(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.51 + 0.61. What is the nearest to -0.2 in g, 0.2, -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036125 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 277*r**2 + 204*r - 56500. Give f(277).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3521, 3513, 3511, 3515, 3525, 3541?\n\"Answer: 3*b**2 - 17*b + 3535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 246, 458, 730, 1062, 1454, 1906?\nAnswer: 2418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15744172 or 15744198?\nAnswer: 15744198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 3:01 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 22838774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 10*r + 13. Let d be g(11). Suppose -4*b**2 + 2*b**2 + 4*b**2 + 2*b**d - 4*b**4 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 267 and 4895?\nAnswer: 14685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (8 - 9 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1. Let o(a) = 84*a**2 + 4*a + 4. Calculate -4*c(r) - o(r).\nAnswer: -84*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.58 - -84.58. Let n = q - 72. What is the smallest value in n, -2\/9, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m**3\/11 + 5074*m**2\/11 - 8424*m\/11 - 13504\/11 = 0.\nAnswer: -1, 8\/3, 844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*p - 4, -3*d = -3*p - 3 + 6. Calculate the remainder when (1*-2)\/((-12)\/1068)*d is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i + 16 = 0. Suppose t = 4 - i. Let f(g) be the first derivative of -g**4\/4 - g**3 + 5*g**2\/2 - g - 1. Give f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6376*c - 2*z = 6375*c + 11*z + 1279, -3*z - 319 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-27078)\/(-16) - (-93)\/(-248).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 8. What is the common denominator of -21\/11 and (z - 3) + 74\/(-16)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -459, -1072, -1743, -2514, -3427, -4524, -5847?\nAnswer: -7438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-9)\/p*p\/((p\/((p\/(p**6\/p))\/p))\/p)*p**(-3\/14)*p**(-1\/6) assuming p is positive.\nAnswer: p**(-302\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 11*x**2 - 9*x + 15. Suppose -6*t = -t - 50. Let r be c(t). What is the highest common factor of 200 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-6)*1168\/(-4818))\/((-14)\/308).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 0 + (0 - (-1 - 3)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/41))**(4\/7)\/(l**(8\/9)*l**(-20)*l))**19 assuming l is positive.\nAnswer: l**(887471\/2583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q - 11. Let g be (3 - 1)*(-13 - -11). Let w be n(g). Are w and 1\/18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 150, 292, 428, 558, 682?\n\"Answer: -3*m**2 + 151*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 1321.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, -13, 392 in ascending order.\nAnswer: -134, -13, 392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*b**3 + 44*b**3 - 150 + 17*b**2 - 17*b**2 wrt b.\nAnswer: 276*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y - 2. Let l(n) = 12*n + 5. Let i(p) = -5*j(p) - 3*l(p). Suppose -3*q + 44 = -4*r, -18 = r - 2*q - 2. Let k be i(r). Solve 9 - 24 = -k*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17280\/(-1400) - (-8)\/7)*(-15)\/6.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 0*n + 4*n - 2*n - 7*n - 2 - n**2. Let k be b(-6). Let g = 11 + k. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3 - 2*n**3 + 20*n - 17*n**2 - 20*n to r + q*n**2 + j*n + c*n**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 14*o + 5600 = 0. What is o rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/3 - (-6 + -4). Suppose b*w - 2450 = -292. What are the prime factors of w?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30193397*g**3*w + g**2 - 84558*w - 575 wrt g.\nAnswer: 90580191*g**2*w + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:50 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**3 + 47*z**2 + 3*z + 1. Does 13 divide x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4 + 20 = 0. Let w = 34 - 53. Let l = w - -18. Which is the nearest to -1? (a) l (b) -2\/15 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 133715.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 91*o - 658. Give g(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w + 132*w**3 - 11*w + 9*w - 129*w**3.\nAnswer: 3*w**3 + 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-1)\/((4\/10)\/((-184)\/1610))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54, -46, -34, -18, 2, 26, 54?\n\"Answer: 2*w**2 + 2*w - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53257 - -15843?\nAnswer: -36314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8097 (b) -8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by 20.\nAnswer: -91\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 66432601 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/315*7 + (-3)\/5. Sort r, 2, -5, 125.\nAnswer: -5, r, 2, 125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25235 and 3?\nAnswer: 75705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -10 + 39. Suppose -b + 3*b = k - t, 0 = -5*k - 5*b + 160. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139 + -123. Solve -a + 0*a - 12 = -3*l, -4*l = 5*a - r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 25\/35)\/(-8). Suppose k + 30 = 6*k. Suppose k*u = 13 - 13. Does u = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78282 is divided by 654?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 285107010 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 1\/9, -2, 33?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*o**2 + 83*o**2 - 8*o**2)*(2*o**2 + 1 - 1) - 3*o**4 + 10*o - 10*o.\nAnswer: 195*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.057 * 0.04751.\nAnswer: -0.00270807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-6))\/(56\/54))\/(20688\/6034)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2510*o**2 - 22*o - 1242683 wrt o?\nAnswer: 5020*o - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -1\/3, -2\/3, -0.5, -12, 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6056.\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 + 0*b**3 - 5*b**3 + 4*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0137 + -0.0337. What is the nearest to 0.3 in -2\/19, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/3*(-33)\/(-55). Suppose 4*s = -f + 725, 4*f = 2*s + k*f - 360. Suppose d - 33 = s. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*y + 2*y + y)*(-3*y + 5*y - 3*y) - 2*y + 2*y - y**2 - 17*y**2 - 52*y**2 + 31*y**2)*(2 + 1 + 0) in the form b*y + l*y**2 + h and give l.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*a - 4 + 10, 0 = -3*s - 5*a + 26. Solve -4*p - s*i = -2, 0*i - 3*i - 30 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 611 - 5. Suppose -4*i = -c + 122. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2103, -2071, -2021, -1953, -1867?\n\"Answer: 9*n**2 + 5*n - 2117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Let y(l) = 6*l**2 + 31*l**2 - 2*l - o*l**2 + 5 - 4. Is y(1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0984 and 0.1.\nAnswer: 0.00984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.2649094 rounded to 2 dps?\nAnswer: -13.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.5, -0.2, -56\/5 in decreasing order.\nAnswer: 0.5, -0.2, -0.5, -56\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = -4*m, -4*m + 3*m = -5*g + 15. Suppose 4*y - 3*s = s, 4*y - 3*s = g. Find the first derivative of -3*n - 2 + y*n + n wrt n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, w: 3, r: 1, k: 2}. What is prob of picking 1 w, 1 k, and 1 r?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtttttwwwwwwwwwww. What is prob of picking 1 w and 1 t?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43d4 (base 16) to base 10.\nAnswer: -17364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -1, 8, 17?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -52*h + 473. Give s(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1225)\/sqrt(5))**2 - (1*sqrt(5)*1 - (sqrt(25)\/sqrt(5)*3)**2).\nAnswer: -sqrt(5) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = -x - 0*x, -x = 3*q - 10. Suppose -x*t = -t - 48. What is the common denominator of (2\/t*12)\/((-6)\/122) and -79\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11837744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -44. Let d be (-22*1)\/(-4 + f + 5). Suppose 0 = d*o - 8*o - 9. Solve -i = 2*u - 4, -7 = o*u - 0*i - 5*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 9:59 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + -5 + 3 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1352 - 614. Let h = -734.992 + b. Let t = h + -3. What is t rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 94*s**2 + 34*s + 187. What are the prime factors of r(-6)?\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k - 9*k - 55 + 55 + 2*k**2 as g*k + o + b*k**2 and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 0.1 (c) -10.71 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111124236 less than -0.04?\nAnswer: -111124236.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. Solve -2*v - u*b = -2*b - 12, 0 = v + b - 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7042*g**2*p*v - g**2*p - g**2*v - 2*g*p*v + g*p + 203978*g*v wrt g.\nAnswer: 14084*p*v - 2*p - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860336414.\nAnswer: 2, 7, 67, 283, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23996628 divided by -5999157?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 4. Let h be a(3). Suppose 0 = -4*t + h*t. Let w be (-27)\/6*(t - 2). Calculate the greatest common divisor of 72 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952 + 798 = -11*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {v: 2, m: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 12*w + 41. Is j(-19) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 264 = -140. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27 and -0.4437.\nAnswer: 11.9799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -9. Let y = -41 - -19. Which is the second biggest value? (a) -4 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + -175?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5376666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -19. Let t = 4 - r. Let o = t + 12. Solve -o*j - 3 = 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 69?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30339 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g - 3034 - 1896 = 0. Let i = 6 + -1. Suppose 5*l - 141 = -i*d + 299, -l - g = -2*d. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26832, -55410, -83966, -112488, -140964, -169382?\nAnswer: -197730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 4. Let f(d) = -1477*d**3 - 1145*d - 8. Let a(w) = -f(w) + 2*u(w). What is the second derivative of a(r) wrt r?\nAnswer: 8862*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 20*s + 25. Let g = 4491 - 4472. What is n(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 divided by 531?\nAnswer: 290\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*z + 170*z + 5984 = 74*z for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 1195 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52.466725549083 + -0.584186533117. Let w = t + 0.0509167822. Let l = -53 - w. What is l rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-30))\/((-4)\/(-10))*9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 99 divided by 132\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -1585*u**4\/4 - 4293*u**2\/2 + 13*u - 50. What is the first derivative of h(p) wrt p?\nAnswer: -9510*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (5 + 165\/(-20)). What is the nearest to -1 in o, -5, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8747 (base 11) to base 13.\nAnswer: 5342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24346 (base 7) in base 11?\nAnswer: -4858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7991 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -27*y - 37*y + 1608. Let x(l) = l - 17. Determine x(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w + 5*d - 205, -4*d = 2*w - 110. Let t = -228\/5 + w. Which is the closest to -2? (a) t (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 17*s**2 + 1246*s - 9195. Give p(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -24061 = -24058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4455 is divided by 127.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 159612*f*r*w - 2539*f*r - f - 56*r**2*w + 530*r**2 + 17*r*w + 2 wrt w?\nAnswer: 159612*f*r - 56*r**2 + 17*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -23*y. Let w(l) = 35384174*l**2. Determine k(w(b)).\nAnswer: -813836002*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a + 5*a + 6*a)*(-1 + 0 + 2)*(-2 - 2 + 2)*(-2 + 2 + 1)*(-1 + 3 + 2)*(a - 3*a + 3*a) as b*a + j*a**2 + d and give j.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 1, i: 7}. Give prob of sequence ii.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of (15\/(45\/(-156)))\/(3*6\/(-12924))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 6*z + 7*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*p**3 - 8*p + 56*p**3 - 12*p - 5*p**4 - 60*p**2 + 44*p**3 + 80 = 0 for p.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -l - l. Let u be (-5 - -5) + l\/(-1). Let h(k) = -2*k - 5. What is the tens digit of h(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -2223331013?\nAnswer: 2223331021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 277368*s**2 + 3051411*s.\nAnswer: -3*s*(s - 11)*(s + 92467)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 89*q**2 - 27*q + 32. Let t be y(-89). Which is smaller: t or 2436?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14875.99 nanograms in kilograms?\nAnswer: 0.00000001487599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 36.95261l?\nAnswer: 36952.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.73 + 0.53. What is the nearest to -1\/6 in j, -0.5, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**4\/2 - 3329*o**3\/2 - 132075*o**2 - 2717342*o - 4919708 = 0.\nAnswer: -38, -2, 3407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4 - 14*x**3 - 10*x**2 + 150*x = 0.\nAnswer: -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 46. What is the tens digit of v(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -63. Suppose 2*q = -4*a - a + 335, 5*q = -x*a + 790. What are the prime factors of q?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*(-2)\/(-81). Let g = -79.1 + 78.1. Which is the nearest to g? (a) 2 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88703637?\nAnswer: 3, 11, 17, 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + y + 2. Let c = 16 - 8. Let u = c - 5. Let g be a(u). Let r(i) = -i**3 - 3*i**2 + 4*i + 1. Determine r(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5*s**2 + 0*s**2 - 4*s**4 - s**2 + 4*s**2 in the form l*s + y*s**3 + u*s**4 + m*s**2 + p and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19088063263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4919 + -24593\/5. Which is the closest to h? (a) 5 (b) 0.5 (c) 1\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i**3 - 23*i*n**2 - 3*i*n + 60074*n**2 with respect to i.\nAnswer: -9*i**2 - 23*n**2 - 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 263 + -278. Let c be (-4 - -5)\/(2\/(-10)). Let b = c - v. Solve 5*l = -0*l + b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7 - 11 + 137*q**2)*(q**3 - 4*q**3 + 5*q**3).\nAnswer: 274*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158570781 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354806544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/68710 and 74\/405?\nAnswer: 5565510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1591 + 17500\/11. What is the third biggest value in t, -7, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o + 4*o - 15*o)*(1 + 0 + 1 + (-6 + 3 + 2)*(3 + 1 - 6)).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5\/13 + 154*s**4\/13 + 576*s**3\/13 - 616*s**2\/13 - 2336*s\/13 = 0.\nAnswer: -73, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2367219.\nAnswer: 3, 313, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3323*p + 3319*p - 75 + 75.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 2:45 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g. Let q be (-12)\/(-3) - (-2 - -4). Suppose -22 = -4*w + v - 3*v, -q*w - 5*v = -23. Let f(o) = -3*o + 2 - w + 2. Calculate a(f(z)).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 2*g**2 + 7*g**2 + (g**2 - 4*g**2 + g**2)*(1 - 1 - 2).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, s: 2, v: 1, m: 1}. What is prob of sequence isv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118 - -119. Let x = 2 + -2.4. Which is the third smallest value? (a) i (b) 1\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1135*h = -1174*h + 117. Solve 1 = h*r - y, 2*y = 2*r - y - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 1, 5*r + 3*x = x + 32. Let j be (r\/(-4))\/3*-2. Find the common denominator of 69\/10 and (j\/12)\/(4\/536).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.332 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*f = -0*j - 30, 5*f = 2*j + 15. Suppose 9*t = j*y + 4*t - 20, 4*y = -5*t - 2. Suppose 6*l + 10 = 11*l. Is l less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 6*z - 14 = 2*y, -5*z + y + 21 = 0. Let j be ((z - -2) + 0)\/2. Solve -5*s + 5*q - 41 = -6, -j*s - 18 = -2*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 8*l - 2 + 6*l + 3*l**2 - 91*l**3 + l**2 - 6*l**2 as j + w*l**3 + t*l + k*l**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 6*x**2 - 3*x - 5. Let c be d(5). Solve 0 = 5*a - 5*m + 10, c*a - 4*m = -m - 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*k + 55. What is the remainder when 200 is divided by 0\/(k\/(-3)) - -34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2. Let f(v) = -v**2 - 22. Let w be 22*1 - (-6 + 6). Let d(n) = -w + 41*n**2 - 41*n**2 + n**3. Let t be d(0). What is t*m(h) - 2*f(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 7 + -4 + -1 + -18 - -28.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 17*z**3\/6 - 6*z. Let t(s) = -2*s. What is t(q(w))?\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 8*a**2 + 14*a - 13. Let y(l) = l**3 + 7*l**2 - 11*l - 15. Let r be y(-8). Let u be f(r). Let t = 22 + u. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0*t - 1\/60*t**6 - 12*t**2 - 1\/15*t**5 + 2\/3*t**3 + 1\/12*t**4 + 0. Suppose j(p) = 0. Calculate p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11111100100101011000 (base 2) to base 4\nAnswer: -3330211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 41 + 74*n**2 - 25*n**2 - 25*n**2 - 31*n**2 - 105.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*y + 4053, -3*z = -y - 17878 + 5719. Suppose -5*c + 3*v = -4041, 0*v + z = 5*c + v. Does 30 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -15*q**2 - 423*q - 66. Calculate f(-28).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((9720\/48)\/45*(-1)\/(-21))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*o + 8 = -256*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 11*l - 3. Let i(k) = 6*k - 33. Let w be i(4). Determine u(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*n + 18. Suppose -x = -t - 3, 3 = 24*t - 28*t + x. Put 2, -4, n, t in descending order.\nAnswer: 2, t, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19587\/7 + -469255\/168. Find the common denominator of -113\/30 and w.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/10*(-10)\/(-4). Suppose -i - 12 = -4*i. Let v(a) = -i*a**2 + f*a**2 - a**2 - 3 + 3*a**2. Give v(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) -1 (c) -3\/7 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + g**2 - g**2 + 8*g**2 - 3*g**2 + 0*g**2 + (3 - 2*g - 3)*(g + 3*g - 2*g) + 4*g - 4*g - 2*g**2 - g**2 - g**2 + 0*g**2 - 42*g**2 + 7*g**2 - 2*g**2.\nAnswer: -38*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 34591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12010 - -2022202?\nAnswer: 2010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6390\/(-2500) + 3)\/(252\/(-10)) and -47\/30.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1712*o - 1638*o - 67*o**2 + 3350*o.\nAnswer: -67*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 + 147 + 39)*(0*r + 0*r + r).\nAnswer: 277*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 13 - 5. Suppose 0 = -4*v - l*k + 7*k + 147, -v = 5*k - 31. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6*(-114)\/(-2). Suppose c + 220 = -p. Let f = p - -419. Round f to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 = 2*o - 4*o. Let c = 775 - 621. Let t = o - c. List the prime factors of t.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 15*a**2 + 51*a - 86. Let x(p) = -170*p**2 - 560*p + 945. Let n(l) = -4*x(l) - 45*y(l). Determine d so that n(d) = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3257 a factor of 3738281426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 26 - 29. List the prime factors of (-5 - -6)*(m - -59).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*(sqrt(19) - (sqrt(190)*4)\/sqrt(10)))*-4.\nAnswer: -24*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-30))\/(1*-2*2\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11074794.\nAnswer: 2, 3, 61, 30259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/63)\/((-2)\/(20\/(-75))).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*r = -55*r - 28*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4389309 to the nearest integer?\nAnswer: 2095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 5 + 81*u - 6*u**4 + 74*u - 309*u + 80*u + 73*u + u**3 to the form y*u**2 + p*u**3 + h*u**4 + r + t*u and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3250.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/((-2)\/(-9)). Suppose 3*q - 12 = -4*v, -5*v + 25 = x*q + 10. Let -b**2 + q*b**2 + 2*b**2 - b**3 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 0*g**2 - 2*g**2 + (0*g**2 + 3*g**2 - 2*g**2)*(3 + 0 - 1) - 8*g + 3*g**2 + 8*g in the form o*g + f + l*g**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 20 = -4*p, 24*p = d + 23*p + 25. Let v be (-72)\/34 + 12\/102. Sort v, -1, d in increasing order.\nAnswer: d, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 822636, 822737, 822838, 822939, 823040?\n\"Answer: 101*i + 822535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 12*t + 155. Let g be w(7). Suppose -4*j + 10 + 10 = 0. Solve 0 = -x - i - 4 + 6, g = 3*x - j*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-4))\/(((-16)\/(-4))\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799 a factor of 347582991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/86166 and 24\/5605577.\nAnswer: 100900386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 3 + (3 - 1 + 0)*(-6 + 2 + 2) - 4 + 2 + 0)*(3*z - 3*z - z) to d*z + g and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37358 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/10)\/((-16)\/20). Let k(j) = -j**3 - 7*j**2 - 7*j - 8. Let t be k(-5). Let a = t - -27. What is the third smallest value in s, 2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffii when four letters picked without replacement from fiiif.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 43.1.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000118747 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 x when four letters picked without replacement from {p: 8, x: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7020 and 828.\nAnswer: 161460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (14*-13)\/(-2)*23\/23 and 56?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.583 - 712.583. Let t = u + 708. Sort 6\/25, 1, t.\nAnswer: t, 6\/25, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*c + 30. Let t(j) = j**2 - 5*j - 5. Let v be t(c). Suppose 9 - v = p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 5. Let m(b) be the second derivative of -b**4\/3 - 9*b**2\/2 + 202*b. Calculate 11*a(t) + 6*m(t).\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -110*b**3 + 8*b**2 + 10*b + 10. What is the tens digit of s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 11:49 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 492345 and 13230?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 98478402.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/6)*s*s)**6\/((s**(-13)\/s)\/((s*s**1*s)\/s)) assuming s is positive.\nAnswer: s**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/((-6)\/4))\/(-2 + 1). Suppose -b - 19 = 7*i. Put -4, i, 1 in descending order.\nAnswer: 1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1235, -1676, -2113, -2546, -2975, -3400, -3821?\n\"Answer: 2*s**2 - 447*s - 790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 569, 1556, 3293, 5984?\nAnswer: 9833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 667025129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37447833.\nAnswer: 3, 12482611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1915635906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 21. Suppose -c + 1 = -4*j. What is the second biggest value in j, 4, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5645414 (base 7) to base 6.\nAnswer: -23003325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1 = -5*s, 5*s = 2*s - 4*y + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 636*y + 29. Give i(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k. Let h be 30\/6 - (-2 + 5)\/3. Let v(z) be the third derivative of -17\/24*z**4 + 0*z - 1\/6*z**3 + 0 + h*z**2. Give 18*t(j) + 2*v(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*((sqrt(931)*-1)**2*-3 - ((sqrt(931) - (sqrt(931) - (sqrt(931) + 1)))*2)**2).\nAnswer: -163025 - 1400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 985250.7 hours?\nAnswer: 3546902520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-12 - (2 + -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-90)\/(-25) - 4)\/(48\/(-20)). Which is the third biggest value? (a) 4 (b) r (c) 2 (d) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9154579871 and 0.04.\nAnswer: -9154579870.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1 - (29 + -23)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**2\/2 + 1. Let q(x) = 19*x - 5187 + 5187. Give b(q(c)).\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2842470 or -1?\nAnswer: -1\/2842470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(27\/(-6))*-2. Solve -15 = t + w*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**2\/7 - 20*k\/7 - 96\/7 = 0. Calculate k.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*r - 15. Let y(l) = 2*l**2 - 30*l + 4. Calculate the smallest common multiple of y(r) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1\/4, -1, 0.24 in increasing order.\nAnswer: -1, -1\/4, 0.24, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiww when four letters picked without replacement from {w: 8, i: 5, g: 5}.\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 3369*k + 132912.\nAnswer: -(k - 3408)*(k + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -46*x + 45*x. Let u be -290*(-8)\/(x\/75). Suppose 16*j - u + 463 = 0. List the prime factors of j.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 1048 - 517 = 4*h + 481, -2 = -2*h - 0*j + 5*j for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 20 + 27 + -12\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -190489 minus 4.13?\nAnswer: -190493.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*-2*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 4. Let m(n) = 6*n - 275. Determine -m(k) + 2*v(k).\nAnswer: -2*k + 267","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*n - 8070 = 0. Let r = -624 + n. Round r to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21653 rounded to three dps?\nAnswer: -0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 7:09 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a7 + -b?\nAnswer: -3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5650 by 2.\nAnswer: -2825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l*o**3 + 63705*l - 198*o**3 - 4*o**2 + 57*o with respect to l.\nAnswer: -o**3 + 63705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/311 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -66498 divided by -2?\nAnswer: 33249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + m**2 + m + 22. Let d be z(0). Let k = d - 16. Suppose -4*a = -k*a. Solve a = -v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*k + 96 = 2*u, 0 = 3*u - 2*k - 58. Suppose -u = 20*o - 2. Let p be (2\/(-1))\/((-2)\/5). Sort -5, o, p.\nAnswer: -5, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -3312?\nAnswer: -3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u**9*u)\/u*u*u*u**(-29)*(u*u*u*u*u**(4\/19)*u*u)**(12\/7) assuming u is positive.\nAnswer: u**(-845\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -93862 and -0.476.\nAnswer: -93862.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13404 divided by 3\nAnswer: 4468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 18 = -10. Let v be (-4)\/(a - 120\/(-28)). Let m(n) = -4*n + 15. Does 15 divide m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*h - 56 - 5, 5*s - 57 = 3*h. What is the lowest common multiple of 15 and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -16*n**3 - 7. Let o(g) = -g**3 - g**2. Let y(j) = -13*j**3 - 5*j**2 - 3. Let r(c) = 5*o(c) - y(c). Determine -3*a(w) - 7*r(w).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n - p + 11, -4*n + 16 = -4*p. Let g be (-6)\/9 - (-3)\/(-9). Let h be g\/(1 - (n - 3)). Which is smaller: h or -2\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:33 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**29)\/(d**(-21)*d))\/(d**(1\/2)\/d)**(-19\/3) assuming d is positive.\nAnswer: d**(281\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - q**3)*(-q**2 - 2 + 2) + 320*q**2 + q**5 + 109*q**3 - 320*q**2 - 3*q**5 + q**5 + 3*q**5.\nAnswer: 3*q**5 + 109*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q + 1 = 0. Suppose 7*o = -12 - 9. Which is the nearest to 4\/7? (a) -4 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 7156*y - 454891. What is g(63)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -3*q**5\/10 + 5*q**4\/6 + 5*q**3\/3 - 9*q**2\/2 + 96*q + 13. Let k(f) = f**3 - f**2 - f + 1. What is -18*k(x) - 2*o(x)?\nAnswer: -6*x**3 - 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 11. Suppose 0 = 3*b - u*i - 35, 5*b - 17 = -2*i - 0*i. Solve -10 = b*f - 5*d, 0*f = 2*f + 4*d + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 + 1311\/10. What is the common denominator of d and 115\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.791 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 12*w - 10 = 0. Suppose 0 = t - w, 2*g - g = -t + 81. Suppose z - 4 - g = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-3*z**3 - 4*z**3 + 0*z**3) + (2*z**3 + 0*z**3 + 0*z**3)*(1 - 4 + 5).\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30242 + 4345?\nAnswer: -22564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 438881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1202750?\nAnswer: 1\/240550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2200\/13 (b) 2 (c) 21 (d) 1 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2*d - 7, -3*d + 5 = s - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - d + d)*(5 + 1 - 4) - 4*d + 5*d + 3*d + 13 - 13 + 10*d + (-2 + 3 - 3)*(0 + 0 - 2*d) to the form x + v*d and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3688*s - 12. Let z(c) = -2*c + 1. Let i(a) = -3*l(a) - 48*z(a). Let k be i(6). Let d = 39248 - k. What is d rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4*g = -4, -24*a + 27*a + 4 = -4*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 111803.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2671 (base 13) to base 5.\nAnswer: 134000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/5 and -17\/1290?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -12*g**5 + 6 - 211*g**4 + 196*g**4 - 20*g**3 + 53*g**3 + 39*g + 69*g**2 = 0?\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5 = 2*c, 5*w - 5*c + 3 = -12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (-41 - 10) - (-5 + (-6 - -9)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*l = 20, -2*l = -5*x - l + 100. Suppose -2*r + x = p, -2*r - 4*p + 4 = -28. Suppose 0*q = 4*q - r. Solve -o = q*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 1. Let z(a) = 89*a**2 - a + 3. Let s(p) = -3*i(p) + z(p). What are the prime factors of s(-1)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 5*z + 6. Let o be x(4). Let f(a) = a**3 - 6*a**2 + 12*a - 5. Let c be f(2). Let r(k) = 6*k**o - 4*k - c - 3*k + 4*k. Calculate r(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/(-12)*64\/12. Let p = i - -19. Let f(j) = 1450*j**2 - 7*j - 1. Let v be f(p). Round v to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254038277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 73404511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -3*g**2 - 1\/3*g**3 + 4*g - 43. Let v(k) = k - 1. Give j(y) + 6*v(y).\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a millennium in decades?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 4*v + 2. Let z be o(-4). Solve u - 2 = z*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 8 = n, -401*c + 398*c + n = -8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150.1 + 150.10000909. What is g rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 4 = -9*n. Let a(p) = -5*p + n*p - 1 + 2*p. Let z be a(-3). Solve 0 = 4*v + m - 8, 0 = 5*v + z*m + 3*m - 25 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(1323)*-1*1)\/((sqrt(36) + -2*sqrt(1296) + sqrt(1296) + sqrt(1296))\/(sqrt(40)\/(sqrt(10)*-1))))**2.\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4663 - 4660. Solve -27*h = b*h - 120 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -16*a + 228. Let o = -63 + a. Which is smaller: -26 or o?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 0)*(-4*m + m + 4*m) - 2*m + m + 7*m + (-1 + 2 + 1)*(5*m - 4*m - 2*m) to the form z + x*m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 4, x: 4, y: 1, f: 1}. Give prob of sequence ti.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1786 and 799.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*-2*sqrt(1728))**2 + 4.\nAnswer: 27652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3\/7 - 454*v**2 + 64160*v\/7 - 321800\/7 = 0.\nAnswer: -1609, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -13 - 22 - 85?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4105725 years to decades.\nAnswer: 0.04105725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-423)\/(-33) - (210\/55 - 4). Suppose f*n + 8151 = 26*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 59187244 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**6\/120 + q**5\/20 + q**4\/12 + 7*q**3\/2 + 7219*q**2. Give r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7285 and 41447279.\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004438271297 to seven dps.\nAnswer: -0.0000444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -16*k**3 - 3*k + 2. Let f be i(1). Let r be ((-4)\/10)\/(f\/85). Suppose -4*a + r*b = 3834, -2*a + b = -b + 1914. Round a to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 4*p**2 + p**2)*(-5*p + 0*p + 3*p) - 3*p**3 + 2*p**3 - 4*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32790000 rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(7\/4 - 1). Let w(f) = -3*f**3 - 8*f**2 - 10. Let v(d) = 4*d**3 + 8*d**2 + 14. Let q(o) = -2*v(o) - 3*w(o). Calculate q(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**3\/3 - 50*f**2 - 155*f\/3 = 0. What is f?\nAnswer: -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from yyyyyyqyqyyqqyqqyqy?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2479 + 5874. Calculate the highest common factor of h and 582.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 + 6 + 8 + 86*l**2 - 18 + 6.\nAnswer: 76*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 36. Suppose -3*p - 3 = -o*l, 0*p - 5*l + 19 = 2*p. Suppose -s = -4*s + 12. Solve 0 = p*i - i + s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 13*l. Let z(m) be the third derivative of l*m - m**2 + 0 - 1\/12*m**4 + 1\/6*m**3. Find the first derivative of z(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -17, 1\/2, -1, 4 in increasing order.\nAnswer: -17, -1, 1\/2, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/28839 and 23\/30.\nAnswer: 288390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7051 (base 9) to base 8\nAnswer: -12035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193875*r = -193892*r + 34. Factor -11\/4*n**r + 1\/4*n**4 - 2 + 9\/2*n + 0*n**3.\nAnswer: (n - 2)*(n - 1)**2*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 13*j**2 - 12*j + 35. Is s(-9) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 15*o**3 - o**2 + 14*o - 8. What is the second derivative of p(r) wrt r?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3287*z = 2435*z + 16188 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33220453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/88781 and -99\/19160554.\nAnswer: 210766094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7397463 tonnes?\nAnswer: 739746.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3229*k**2 - 736*k**2 - 381*k**2 to the form l*k + q + z*k**2 and give z.\nAnswer: -4346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 617, 614, 609, 602, 593, 582, 569?\n\"Answer: -v**2 + 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96601\/22 + 4390. Calculate the common denominator of a and 1 + (113\/(-4) + 4 - -3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 3*i - 126. Let f be 144\/i + 1*-3. Sort 3, 0.5, f.\nAnswer: f, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**(-3\/5)*j*j*j**(-6))\/(j**(2\/5)*j**3) assuming j is positive.\nAnswer: j**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -304, -672, -1186, -1846, -2652?\nAnswer: -3604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 divided by 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 103014219?\nAnswer: 103014219.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1407559 - 622730. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -4*g**3\/3 - g**2\/2 - 893. Let s = -7 - -6. Let o be (-2)\/((-2)\/s) + -1. Determine j(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10456391?\nAnswer: 11, 313, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -102 + 21. What is the smallest common multiple of p and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**2\/3 + 245340*o + 7359000 = 0.\nAnswer: -183975, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 40 = 4*q, -33 = 5*q + 6*s - 4*s. Let i(h) = 12*h + 11. Let k be i(q). List the prime factors of 2\/(-7) - 210\/k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-62.295249\nAnswer: 311.476245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2484 - -34761\/14. Let z = v + 18\/7. Let t be ((-4)\/(-21 - 3))\/(73\/292). Which is the nearest to t? (a) -3\/5 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71481491 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-4 + 4)) + (-9)\/(-6). Suppose 136 = 5*i + 3*f, 4*i - 84 - 12 = 4*f. Suppose q - 31 = -i. Which is the closest to 1? (a) -5 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 75712*q - 32. Let f be y(-14). What is f rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -211*u + 80*u + 131*u + 1710*u**2 to the form x + a*u + r*u**2 and give r.\nAnswer: 1710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/4*1\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-9\/8)*b*b)\/(b*b\/(b*b\/(b**(-15)\/b)*b*b)))\/(b\/(b*b**(6\/7)*b))**38)**(-6\/7) assuming b is positive.\nAnswer: b**(-15027\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 718884461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19722.9 + 0.1.\nAnswer: 19723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2)*1*-4.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 11:55 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401 a factor of 52088065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -475 by 1.\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -19 + 11 + (7 - 1). Let x be ((-7)\/(-7))\/4*(w + 1). Which is the fourth biggest value? (a) -5 (b) x (c) -0.21 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 546, 883?\nAnswer: 1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 35.8 and -7.9.\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -3, -4, 87, -1, 105 in ascending order.\nAnswer: -35, -4, -3, -1, 87, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8403217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 71. Suppose 21*x - k = 18*x. Let f be 35704\/x - (-10)\/(-35). Round f to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 6:27 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1673865 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k*k**(-2\/13)*k)\/k)\/(k**6*k*k))\/(((k*k\/k**(-3)*k)\/k)\/(k*(k*k*k\/(k*k*k*k\/k**3))\/k)))**6 assuming k is positive.\nAnswer: k**(-714\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106579 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-125)\/(-10))*5. Suppose f*c + 6 = 0, 5*l - c = -14 + 57. Suppose 2 = 2*r - l. Sort r, 2, 1 in increasing order.\nAnswer: 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 3, j: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -993786407 + 1.3\nAnswer: -993786405.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 3:49 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, r: 11}. Give prob of sequence rwwr.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -68*o + 2121. Let j = 143 - 67. What is the remainder when j is divided by w(31)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-6 - (6 + -12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p - 1 = u - 33*p, 0 = -5*u - p - 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3560 and 890?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010 + -1000022?\nAnswer: -221012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13360.5 rounded to the nearest one hundred?\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -14 in increasing order.\nAnswer: -14, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1406117433 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-1040)*-13)\/(180\/(-5160))?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14522 smaller than 8424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1819160469 by 1.\nAnswer: 1819160469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000741175 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5712493?\nAnswer: 17, 336029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 155, 152, 149?\n\"Answer: -3*x + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 + v**2 - 2*v**4 - 2*v**2 + 1 + 2*v**2 to the form m*v**2 + c*v**4 + i + h*v + j*v**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.9 + -39.61. Let j = y + 5.71. Which is the nearest to 3? (a) j (b) 4 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344974909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**2 + r + 3. Suppose -11*f - 2*f = -13. Let g(b) = b**3 + b - 1. Let z(w) = f*y(w) + g(w). Give z(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -32. Which is smaller: -8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w. Suppose 4*r = -u + 9, -u - 1 + 4 = r. Let g(z) = z. What is r*g(j) + q(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*q = 11628, q + 296 - 9029 = -3*h. Let l = h - 1988. Calculate the common denominator of 2\/(-5) + l\/330 and 163\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667*f - 668*f = -4. Put -72, f, 1 in ascending order.\nAnswer: -72, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289131147?\nAnswer: 3, 10708561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(3\/17))**(-10\/9))**(-38) assuming j is positive.\nAnswer: j**(7600\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -744 divided by -4.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppps when four letters picked without replacement from ssppssps.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - o**2 - 2*o + 3. Calculate v(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 397186 = 97186. Round q to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u - 1. Suppose 3*k + 2*j - 8 = -2*j, -4*k + 2*j = 26. Let y be t(k). Solve o + 2*o - y = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Suppose 0 = -q + v. Let i be q\/3 - 476\/(-6). What is the highest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1872))**2 - (sqrt(13)*-1 + sqrt(13) + 3) - (2 + (sqrt(1573)*-2)**2)*3.\nAnswer: -11397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 20*d**3 - 2*d**2 + 8*d - 11. Let u be r(2). Suppose 7*g = -u + 192. What is the lowest common multiple of 89 and g?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 6*h**2 - 3*h + 4. Let o be x(-7). Let f be (2 + o\/15)*-30. Let d be (-3)\/f + (-21)\/(-12). Solve -2*n - 10 = -d*w, 5*w = -n - 14 + 39 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2141 + -3?\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 86.92072 millilitres?\nAnswer: 0.08692072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 16*v**2 + 16*v + 18. Let j be a(-15). Let z(g) = 6*g - 10. Let x be z(j). Solve x = 6*k - 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 255724.41?\nAnswer: 255724.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/41651654 and 29\/2.\nAnswer: 41651654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 653394 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -2*z + 5*w + 31, -5*z - 2*w = -409. Suppose 8*y = 71 + z. Let j(s) = 6*s**2 - 4*s + 1. What is the remainder when j(5) is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0204978 and -0.3460153?\nAnswer: 0.3665131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54841 or 4944?\nAnswer: 54841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 309 = -23. Suppose 8*h = -3*h - o. Let s be 20\/12*(-2)\/5. What is the biggest value in 5, s, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(2 + 0))\/(-1). Let m(p) be the second derivative of -8*p + 0 + 0*p**5 + 4*p**2 - 1\/30*p**6 + a*p**3 + 0*p**4. Differentiate m(t) with respect to t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**8\/336 + r**7\/168 - r**6\/18 - r**5\/6 + 26*r**3\/3 - 6*r**2 + 3. Let z(k) be the first derivative of x(k). Factor z(t).\nAnswer: 5*t*(t - 2)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-7\/2)\/p*p))**(-3\/28)*(p*p**(-15)*p*p)\/p*p**(-4\/5) assuming p is positive.\nAnswer: p**(-3999\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6365a6a (base 11) to base 5.\nAnswer: -10332131211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27961, -55907, -83853, -111799?\nAnswer: -139745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - -9*12\/9. Suppose -2*g - 2 + k = 0. Solve g = p + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52111 and 157511?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 5. Let o(l) = 3*l**2 - 4. Give -4*o(y) - 5*z(y).\nAnswer: -2*y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + 3. Suppose -3 - 6 = 3*u - 4*w, 2*u = -5*w - 6. Let k(l) = -4*l**2 + 5. Let n(v) = u*k(v) + 5*c(v). Let t(o) = 5*o. Calculate n(t(q)).\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 191108*-0.1\nAnswer: -19110.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97420 and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -3.5, -3, 2\/9?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 1011 = -977 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-25)\/(-15)*(-9)\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1448 and 328877?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d - 4*d - 3*d + 10*d. Let i(m) = 14*m. What is i(u(r))?\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2802*j**4 - 2057*j**2?\nAnswer: -67248*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 9 = 4*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48031?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 7, 0 in descending order.\nAnswer: 11, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 - 3*d**4 + 4*d**4 + (2*d - d + 3*d)*(-d + 5*d - 2*d)*(-1187*d**2 + 86725*d - 86725*d).\nAnswer: -9497*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78996 = -3999*s - 148947 for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 133571, 27 in decreasing order.\nAnswer: 133571, 27, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 10. Suppose p + f = -c, 3 = -3*p + 6*p. Let j = -2.94 + -0.06. Put j, 3\/2, c in increasing order.\nAnswer: c, j, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8 - 6 - 2 - 21*o**2 wrt o?\nAnswer: -42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 6 - 2. Suppose 3*w + h = -8. Let p = -2122\/9 - -236. Which is the closest to p? (a) -2\/17 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 + 10*h + 1193. What is j(16)?\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3088.339 years?\nAnswer: 308.8339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.438, 45.7, 1, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*s + 21, 3*y - 3*s - 9 - 3 = 0. Let m = 5 + 5. Calculate the greatest common divisor of y and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113610729?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s - 49*s = -27*s - 2561680. List the prime factors of s.\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 62*h + 123. Give b(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2148*m + 13. Determine u(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (38 - -9) - (-23 + 47) - 161?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -39. Let y(x) = -11 + 11 + k - 8*x - 4*x**2. Let m(c) = -c**2 - 8*c - 13. Let u be m(-7). Let p(w) = 3*w**2 + 7*w - 4. What is u*p(v) - 5*y(v)?\nAnswer: 2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-10))\/(((-10)\/(-75))\/(50\/75)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 16 - 21)*(-32*j - 19*j - 2*j).\nAnswer: -424*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-32)*(-580)\/2175.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 17*z + 47. Give i(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 37*p**2 - 5374*p - 873. Determine y(-57).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1508, 2, -89.\nAnswer: -1508, -89, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*p - 2*p - 5*p - 108 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624513 to the power of 1\/2, to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -582695, -582690, -582683, -582674, -582663, -582650?\nAnswer: -582635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2641181?\nAnswer: 1303, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6138, 107652, 383188, 919758, 1804374, 3124048?\nAnswer: 4965792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/(-30) - 0) + (-52)\/(-260). What is the closest to o in -1, -4, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145306 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 5. Let q be p(0). Let o = q - 1. Suppose 3*f - 9 = 0, 4*t + o*f - 2790 = -862. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -1.2. Let w = -0.14 - 0.16. What is the closest to i in -4, 0.04, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1002829 is divided by 1885?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o**3 + 17*o**2 + 20*o - 17. Let r(j) = -3*j**3 - 6*j**2 - 7*j + 6. What is -17*r(s) - 6*u(s)?\nAnswer: -3*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 216545 and 13.\nAnswer: 216558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141136 or -0.1?\nAnswer: -141136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*6\/126*-7. Sort 4, -125, r, -5 in increasing order.\nAnswer: -125, -5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 130667*n. Let a(i) = -11*i. Give a(g(f)).\nAnswer: -1437337*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let u be (5 - (-78)\/(-15))\/((-2)\/10). What is l(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x. Let c(i) = 5*i - 9*i - 8*i - 3*i. Calculate a(c(l)).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*6*(5 + 1 + sqrt(3)) + -2)*-1)**2.\nAnswer: 1776*sqrt(3) + 5908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*c + 3030 + 3921 = 0 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15464 - -15461. Which is the smallest value? (a) -1.23 (b) -7 (c) 1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q - 465 = 0. Let i = 282 - q. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -55.8. What is y rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*p**2 + 1 + 151*p - 300*p + 149*p.\nAnswer: -39*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1198216?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -37. Let z(q) = -q**3 + 4*q**2 + q - 3. Determine z(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/13 - 4*h**3 - 384*h**2\/13 - 576*h\/13 = 0 for h.\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 463\/90 + -26\/5. Is n smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70445083*n**5 + 2*n**2 + 6239*n + 62.\nAnswer: -4226704980*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7081, -14359, -21637, -28915, -36193, -43471?\n\"Answer: -7278*a + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -37, 2 in increasing order.\nAnswer: -37, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-1 + -9) - -9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7*r - 2*r = -29, -r - 5 = 0. Let y be (-5)\/(((-3)\/((-3)\/p))\/2). Suppose y*c = -1 + 6, 2*c = -v + 7. Solve 0 = 2*z + v + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62535225 (base 7) to base 4.\nAnswer: 110012201322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5505337 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3585?\nAnswer: 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/100*(-5)\/2*(-820)\/(-34686).\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1007918.809 to the nearest ten.\nAnswer: 1007920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 1:08 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d = 40. Suppose -g = -5*g + d. Solve 0 = 2*x - 0*u + u + 7, g*x = 4*u - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2*(-196)\/(-72)*(-4)\/(-8) and 121\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*g, 6 = -b - 6*g + 7*g. Let a(o) = -o**3 + 3*o**2 + 17*o + 4. Let y be a(b). Solve y*t - 3*m - 2 = 3*t, -2*m = -3*t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.439 (b) 1 (c) 1\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*l - 5. Let m(j) = -j**3 + 4*j**2 + 3*j. Let r be m(5). Let x = l - r. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.205 - 1.005. What is the nearest to -88 in w, 2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3)*(-34596)\/(-279). Solve -4*k - 23 = v, -u*k - 5 = -5*v - 244*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/17)*t**11 assuming t is positive.\nAnswer: t**(184\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -25399616 + -548?\nAnswer: -25400164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = 4*b - 5*b, 0 = -5*a + 4*b + 9. Let r = a - 3. What is the nearest to 0.1 in r, -4, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 10:02 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -243*p**2. Let z(j) = 13972*j. Calculate z(h(k)).\nAnswer: -3395196*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -21 - 5*s + 0*s - 18 - 3. Let f be w(-9). Let z(q) = -q + 1. Let o be z(-6). Solve f = 2*b - o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5868 and 4140.\nAnswer: 674820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/(-24420))\/((-1)\/(-10))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -92930000 rounded to the nearest one million?\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 66*j**2 + 6*j - 398. Let p be l(66). Let y = 0.55 - -0.17. Which is bigger: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1207*r**3 + 46*r - 208558.\nAnswer: -3621*r**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6967, -0.2, -1537 in ascending order.\nAnswer: -6967, -1537, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 236347 at most 236332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87948, 175894, 263830, 351750, 439648, 527518, 615354, 703150?\nAnswer: 790900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 27 - 3 + 30 + 0*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1013, 3757, 8239, 14459, 22417, 32113?\n\"Answer: 869*q**2 + 137*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -4, -3, -438, 1660 in descending order.\nAnswer: 1660, -3, -4, -64, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 582012.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1020 = 5*q, q = 5*q. Let j(a) = o*a**2 + 259*a**2 + 1 - 513*a**2. Calculate j(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 7*b**5\/120 + b**4\/24 - 28*b**3\/3 + 2*b**2. Let r(s) be the first derivative of a(s). Calculate r(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20 + (-2712)\/144)*4\/21. Suppose -3*k - 2*k = 0. Which is the third biggest value? (a) k (b) 0.05 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 1849 + 251. Suppose -4*s = -q + 2*q - i, 0 = 3*q. What is the remainder when s is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4514*a**3 + 17*a**2 + 2393*a. Let i(n) = 1505*n**3 - 5*n**2 - 796*n. Let p(g) = 7*i(g) + 2*o(g). Find the third derivative of p(w) wrt w.\nAnswer: 9042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*g**3*k - 13*g**3*u + 14*g*k*u + 638*k*u + 200296*u wrt k?\nAnswer: -6*g**3 + 14*g*u + 638*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**2\/2 - 3935739*i\/2 - 1967870 = 0.\nAnswer: -1, 3935740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6944*v + 48651. Calculate p(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14325135, -14325137, -14325139, -14325141, -14325143?\nAnswer: -14325145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/(-36))\/(1\/16). Let q be 7 - (-76)\/i - (-172)\/(-6). Let v = q + 117. Calculate the remainder when v is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 40*r + 277. Let k be o(5). Sort 1, k, -5 in ascending order.\nAnswer: -5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 6 - 14. Let g = 259\/26 - 84\/13. Factor 9\/2*u + g*u**b + 1.\nAnswer: (u + 1)*(7*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124092 and 16.\nAnswer: 496368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - s + 1. Let q be w(0). Is 75 + q + -3 + 4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16 + -1)\/((-1)\/(-5)). Let p = f - 27. Suppose -19*w - 26 = -248 - 82. What is the highest common divisor of p and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9426114 by 2.\nAnswer: -4713057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11.11251 seconds?\nAnswer: 11112510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p**3 + 4*p**3 - 45*p - 36*p + 93*p as q*p**3 + w*p + u + v*p**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -47*o**3 - o**2 - o + 1. Give j(1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 444 and 3552.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-9 + 7 - (-12 + 4)) - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 1\/45 (c) -3 (d) 348 (e) -0.09 (f) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/499969 or -1?\nAnswer: 6\/499969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1607*b**2 + 25532*b - 12. Determine i(16).\nAnswer: -2892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1135, -1111, -1085, -1057?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oococcccooooooccococ. Give prob of picking 2 c and 1 o.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 3. Let v(x) = 10*x + 16. Let p(k) = 11*f(k) + 2*v(k). Let y(w) = -w**3 + 6*w**2 - 6*w + 7. Let j be y(5). Calculate p(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4)*(-14)\/7 - -32797. Is 2*4\/(-32) + y\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 + -325\/3. Let g(i) = -2*i + 1. Suppose -3*r - 3 = -4*r. Let o be g(r). Which is the nearest to -2\/7? (a) 2 (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900*r**4 + 2300*r**3 - 1876*r**2 + 452*r + 24 = 0 for r.\nAnswer: -2\/45, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -1\/3*m**3 - 4\/3 - 5\/3*m**2 - 8\/3*m = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b - t - 348 = 0, -4*b + 4*t = -272. Let v = b - 40. Suppose -5*w = -w - 5*u + 41, 0 = -5*w + 2*u - v. What is the nearest to 0 in w, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/(-15))\/10*6\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1279*c - 1 + 1.\nAnswer: 1279*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/f**6)*f*f\/((f*f*(f**(-1\/4)*f)\/f)\/f)*f*(f*f**(1\/3))\/f**(-1\/4) assuming f is positive.\nAnswer: f**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9\/y)\/(y*y**14*y) assuming y is positive.\nAnswer: y**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 19*f + 3. Let z be u(0). Suppose o + 4*w + 7 = z, 5*o + 5*w - 10 = 0. Let b be (-2)\/(-4) + 15\/6. Solve -o*a - 5 = b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.179037 to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*w - 30, 4*o - 12*w + 24 = -14*w. Let b(v) = 3*v + 7. Let s(l) = l + 1. Let i(n) = -b(n) + 4*s(n). Let t be i(6). Sort 0, o, t.\nAnswer: o, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v\/v**(1\/6))\/v)\/(v*v**8))\/(v**(-1\/2)\/v**(6\/7)) assuming v is positive.\nAnswer: v**(-122\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*l + 11134, 0 = -2*l - 4*n + 4828 - 384. What is the highest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*i**2 + 4*i**2 + 3*i**2 + 32*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6}. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 14769?\nAnswer: 44307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -12*c. Let r(k) = -297217*k**2. What is r(x(h))?\nAnswer: -42799248*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23124*r - 11605*r - 11587*r = -6392 for r.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.3. Let r = 0.1 + -0.8. Let n = 0.4 + r. Which is the closest to 0.1? (a) -4 (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19\/222 - 105\/74. Put -1\/58, w, 1\/6, 3\/8, -2\/3 in ascending order.\nAnswer: w, -2\/3, -1\/58, 1\/6, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20131152 and 310?\nAnswer: 100655760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*a + 2*a**2 + 432*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 10978390*a + 65870344\/3.\nAnswer: -(a - 2)*(a + 32935172)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 528 - 513 - (0 + 30)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2283\/574 + 55\/14. Which is greater: o or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12933*n**4 + 1263*n**3 - 2*n**2 - 1180271*n.\nAnswer: -310392*n + 7578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w - 13. What is v(9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 886 and 786325?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((0 + sqrt(3) + -3 - sqrt(3)) + 0 - (sqrt(330)\/sqrt(40))\/sqrt(11)))**2.\nAnswer: 3*sqrt(3) + 39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1240721 and 2368?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37452604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 8:03 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 + 5*u + 23. List the prime factors of h(-8).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 7497?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 5*v**2 + 6*v - 2. Suppose -25*i + 23*i + 8 = 0. Give q(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 a, and 1 b when four letters picked without replacement from {e: 3, a: 3, b: 8, p: 3}?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(176) + sqrt(176)*2 + -1 + 2)*2*4)**2.\nAnswer: -12288*sqrt(11) + 406528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 e, 1 r, and 1 i when four letters picked without replacement from etitsrssstdstt?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from xtldc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 463*h - 83686. Determine a(139).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7355117 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 9*a**2 + 7*a + 6. What is i(-7)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**7\/280 - j**6\/360 + 2*j**3\/3 + 2. Let d(u) be the third derivative of t(u). What is the third derivative of d(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 635, 828, 1021, 1214?\n\"Answer: 193*u + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1, 15, 2, 1, 6 in decreasing order.\nAnswer: 15, 6, 2, 1, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037381993 rounded to 3 decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)*2)\/sqrt(8) - sqrt(2) - (sqrt(2) + 0)*-2 - (-1 + 0 + (sqrt(6)\/sqrt(3))**2).\nAnswer: -1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 a when three letters picked without replacement from {t: 1, z: 5, j: 4, a: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65\/743 + 518013\/5912794. Let f = -117364\/131307 - l. Find the common denominator of f and 7\/4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**8\/1008 - h**7\/63 - h**6\/90 + 41*h**5\/90 - 107*h**4\/72 + 20*h**3\/9 + 1824*h**2. Factor s(r).\nAnswer: -(r - 1)**3*(r + 5)*(r + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/2 (c) -275 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/14)\/(594\/1386).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -140 (b) 205\/13 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*n - 47*n + 141*n - 47*n - 2242.\nAnswer: n - 2242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32102206739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*h**2 + 2)*(-4*h + 2*h + 3*h) + 8*h**3 + 266 - 266.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 657*p + 58. Let c(o) = 658*o + 41. What is -3*c(x) + 2*f(x)?\nAnswer: -660*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99602, 99584, 99566, 99548, 99530?\nAnswer: 99512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 738 and 198.\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 4074 and 93684\/23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -17995.9.\nAnswer: -5398.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b + b + 0*b)*(12*b**3 - 111*b + 111*b) + (6*b**3 + 7*b**3 - 2*b**3)*(1 - b - 1).\nAnswer: -107*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 1, z: 2, s: 1}. Give prob of picking 2 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) 2 (c) 1.7 (d) -100\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66541 is divided by 5775?\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -1\/483 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-376.3\nAnswer: 37.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13044.\nAnswer: 2, 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-10)*(-33)\/(-924)*(-130)\/(-65)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110011011 + 10111?\nAnswer: -11110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n - 2 = 0. Suppose -1377 = -11*q + n*q. Suppose 2*a - 43 = -0*u + 3*u, 3*u - 42 = -3*a. Calculate the greatest common factor of q and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16 - 14 - (-1 + -11). Suppose -3*u = 2*b - 2, -b + u = -4*u - a. Suppose -142 = -t - 3*t - 2*p, -t = -b*p - 31. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4344 + 50?\nAnswer: 4434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**3 + 2*v**2 + v**4 + 4*v**3 + v to f + n*v**3 + q*v + m*v**2 + z*v**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1380028817\/1463 - 943287. Find the common denominator of -167\/462 and s.\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 5*u + 2*u)*(-12*u + 2*u**3 + 10*u - 3*u**3).\nAnswer: -8*u**4 - 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 332470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1195 is divided by 28\/(-4) - (-9 + 9) - -31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -536, -757, -978, -1199?\nAnswer: -1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 7*s**2 + 9*s + 10. Let i be r(-8). Let g = -3 - -4. Suppose -3*h + 33 = 3*a, -2*a - h + 26 = 2*h. Solve i*f + a = -g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2\/2 - 55*y\/2 = 0. Calculate y.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -6871125709.\nAnswer: -6871125713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b47 - 133?\nAnswer: -3c7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*c**2*z**3 + 35*c**2*z + c*z**3 - z**3 - 180*z wrt z.\nAnswer: 102*c**2*z + 6*c*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*j**3 - 71*j**3 + 169*j**3.\nAnswer: 23*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**3 + z**2 + 6. Let s(l) = 13*l**3 + 2*l**2 + 11. Determine 11*m(d) - 6*s(d).\nAnswer: -d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1854344 times 0.7\nAnswer: -1298040.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2. Let h(m) be the first derivative of m**2 - 6. Determine h(k(a)).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y + y - 7*y - 225*y**2 to the form d + n*y + z*y**2 and give z.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 3, a: 10, y: 4, j: 1}. Give prob of picking 1 o and 1 a.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 619749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -388, -720, -1052, -1384, -1716, -2048?\n\"Answer: -332*v - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-100)\/(-6) + ((-44)\/(-3))\/11. Suppose -6*x + 0 - a = 0. Let f = 0 - x. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 1:33 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/14 + (-240)\/42. Let u be 2 - (-2 - 0)*g. Is 8876\/10 - (-6)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112566499*w**3 - 399815*w**2.\nAnswer: -675398994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 913290 by -182658.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2102961, 2102962, 2102963, 2102964?\n\"Answer: o + 2102960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, -5, 7, -7032 in decreasing order.\nAnswer: 7, 2, -5, -8, -7032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1686065\/11 + 153399. Let f = r + -119. Calculate the common denominator of -4\/35 and f.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**4\/6 + 42*f**3 + 417*f**2\/2 + 270*f = 0.\nAnswer: -45, -3, -12\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 135 = -y. Calculate the greatest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1392\/174870)\/((-48)\/(-10))*6?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8795046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (644\/(-112))\/(10\/(-12)). Which is smaller: n or 7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5 = -5*m + 14, -4*i + 11 = 5*m. Solve -3*c - m = 2*y, -4*y + 4 = -4*c - 0*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -950 + 473. Let v = p - -472. Sort v, 2\/25, 0.1, -1\/3 in descending order.\nAnswer: 0.1, 2\/25, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 + 27*y**3 - 76 + (0*y - y + 0*y)*(114 - 116 + 226)*(-y**2 + 3*y**2 + 0*y**2) as n + h*y**3 + p*y**2 + j*y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273398055?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9593 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -77*o**2 - 5*o. Let k be v(-4). Let u = k - -1703. Is (u\/2 + 0)*(-19 - -21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*t + 25, 2*q + 3*t = -q + 15. Suppose 5*u = -q*u + 5. Is 2\/27 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.157 * 8\nAnswer: -193.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3637, 5040, 8807, 16120, 28161, 46112, 71155, 104472?\n\"Answer: 197*y**3 + 24*y + 3416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -43\/11. Suppose 5*k - 3*j + j + 23 = 0, j = -3*k - 5. Sort x, k, -0.1, -4.\nAnswer: -4, k, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/6*(-40)\/(-6). List the prime factors of (-2)\/(-5) - 106\/i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/20 (b) -0.2 (c) -3 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*s + 6*s - 37, -7 = -q - 4*s. Suppose -i + 5 = -1. Suppose 2*k = -3*f + i, 5*k + f = -f + q. Solve k*b + 2 = 4*j, 0 = 4*b + b + 2*j - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 + 2*u**4 + u**3 - 3*u**3 - 6*u**4 + 17*u**3 - 17*u**3 + (2 - 3 + 2)*(3*u**4 + 2*u**4 - 3*u**4).\nAnswer: -2*u**4 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z. Let d(s) = 4*s**2 - s. Let h(m) = d(m) - i(m). Let v(a) be the third derivative of -a**5\/60 + a**2. Determine h(v(p)).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((1056\/99)\/(-16))\/(102\/(-2907))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 8 - (3 - 0) - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**2 + j**2 - j**2. Let h(q) be the third derivative of 27*q**2 + 0*q**3 + 1\/30*q**5 + 0*q**4 + 0*q + 0. Calculate r(h(d)).\nAnswer: 28*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 3*q**2 - 2*q - 3. Let r be b(-3). Suppose r*z - 7 + 1 = 0. Let d be z + -3 - -1 - -10. What is the highest common factor of 50 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 1375*s**2 + 26810*s - 128920.\nAnswer: -5*(s - 293)*(s - 4)*(s + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-171)\/18)\/(-19)*-12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13278726 divided by 9?\nAnswer: -1475414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*t + 9*t - 40*t)*(3*t - 7*t + 3*t) - 10 + 38*t**2 - 26*t**2 - 17*t**2 in the form k*t**2 + s + v*t and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-1309))\/((-1)\/7)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -4. Let w be d\/(-2*(-3)\/(-9)). What is the third derivative of -3 - j**5 - j**2 + w wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 461\/195 + (-41)\/(90610\/68)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-54)\/(-162))\/((-1)\/(-216)). Let z be (2 - (-597 - 1))*3264\/d. Round z to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*h - 12, 0 = 2*n + 39*h - 34*h - 28. Solve n*a + 6*g + 16 = 3*g, 4*a + 5*g + 16 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/3)\/(9\/(-9)*1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85863 or 222\/89?\nAnswer: -85863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.812 - 0.112. Let d = 6.48 - s. Let y = -2.06 - d. Round y to 1 decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -29*k - 104. Calculate the remainder when 119 is divided by h(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 435\/(-406)*4\/(-10).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3))\/(6\/(-18)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 71?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 22 = -g. Let m = -1\/43 - -6326\/215. Which is greater: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1. Let x(v) = -v**3 - v - 4. Let a be x(0). Let q(s) = s**3 - 6*s**2 - 6*s - 8. Let j be q(7). Let r(t) = -2*t**2 + t - 3. Give a*i(u) + j*r(u).\nAnswer: 2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}