diff --git "a/data/dm_maths/full_data_2/10672_11255.jsonl" "b/data/dm_maths/full_data_2/10672_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10672_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor -5*h**3 - 16245*h**2 - 13813275*h - 992328875.\nAnswer: -5*(h + 79)*(h + 1585)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -5*v + a, 5*v - 2*a = -6*a - 43. Is 3 + 5 + v - -125 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (1215\/5 - -1). Let n = d + -187. What are the prime factors of n?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 45513699.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3779, 15089, 33945, 60347, 94295, 135789?\n\"Answer: 3773*p**2 - 9*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -207161*d**4 - 661581*d**2 wrt d.\nAnswer: -4971864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(304))**2 + ((-1*sqrt(133))\/sqrt(7) - sqrt(19))**2 + sqrt(228)\/(sqrt(12)*-2) + 4.\nAnswer: -sqrt(19)\/2 + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 82*f**3 + 17*f**2 + 43. Let c(a) = -27*a**3 - 6*a**2 - 14. Let w(j) = -7*c(j) - 2*p(j). Let k be w(-6). What is k rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -17. Suppose m - 30 = -x*m. Suppose 0 = 3*p - m. Solve p*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5 + 6. Suppose 3*i - 12 - 12 = 0. Let m = f - i. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 348*y**2 - 4*y - 2. Determine h(-1).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -378.38 + 375. Let l = n + -0.42. Let u = l - -0.8. Sort u, 1, 0.1 in ascending order.\nAnswer: u, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22775 (base 8) in base 4?\nAnswer: -2113331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -917 + 1591. Suppose 0 = 3*g + n - l, 0 = 2*g + 4*n - 700 + 234. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3860 less than -1466.46491?\nAnswer: 2393.53509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 smaller than 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - g - 24. Let c be ((-2)\/g)\/((-2)\/(-18)). Suppose -2*y + 5*q + 76 = y, -c*y = -2*q - 61. Solve 5*r = 3*k + y, -k - 4*k - r + 9 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -41*n + 3112. Let l(w) = -48*w + 3112. What is 6*l(r) - 7*m(r)?\nAnswer: -r - 3112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4 - 3 + 13 - 2 - h. Calculate the remainder when 13 is divided by x(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1854 = 5*l, 2*l = -3*f + 5*f - 1252. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/77121 (b) -8 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + 5 + 4 + sqrt(88)\/sqrt(8) + sqrt(11)).\nAnswer: 6 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**4 - 5*l**4 - 4*l**5)*(5 + 1 - 4) + (-12*l**3 + 25 - 25)*(-2 + 5 - 2)*(18 + 4*l**2 - 18).\nAnswer: -56*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0739*-0.3\nAnswer: 0.02217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Suppose 5*i - 89 = -14. Let f = -13 + i. Sort v, -2, f in descending order.\nAnswer: f, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*w + 35*w - 110 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 + -1 - (-1 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -31\/6, 9, -1\/5, -86 in decreasing order.\nAnswer: 9, -1\/5, -31\/6, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 - 175. Let m = c - -435. List the prime factors of m.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1072, 1029, 986, 943?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12470000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -39. Let v = -19 - -43. What is the remainder when v is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.34 (b) -1\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998*p = -11963 - 15699 + 2131 - 1415 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022 + -2210021020011?\nAnswer: -2210021002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -111024054 (base 6) in base 16?\nAnswer: -1eaa62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5795765*d**2 + 4*d**3 + 5795765*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8203 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 - -162. Let i be p\/(3\/5) - (-6 - -7). Solve -4*b = b + i*c, 0 = 3*c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 3*j + 2*j**4 + (3*j**3 - 2*j**3 + j**3)*(-j + 3*j + 0*j) + 0*j**4 + 0*j**4 + j**4 - 3 + 3 + 13*j**4.\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-7 - 66 - 4) + -47 + 33.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 70. Let l be (-124592)\/28 + (-4)\/j. Round l to the nearest one hundred.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-7.36\nAnswer: -2.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*s**2 + s**4 + 1 + 2*s - 11*s**4 - 4*s + 11*s**4 - 3*s**2 to p + d*s**3 + a*s + y*s**2 + t*s**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 2 = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 147*o + 4004. What is the remainder when o is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2993955140.\nAnswer: 2, 5, 11, 3469, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - 0.26. Let u = r - 1.24. Let q = -1\/99 + 103\/396. What is the third biggest value in q, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32000000 = 2*b - 3*b. Suppose -b = -3*v + 5*v. What is v rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 5464872*c + 2488735498032.\nAnswer: 3*(c - 910812)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 262, 633, 1164?\nAnswer: 1855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*u - 76908 = -27*u + 28*u. Calculate the remainder when u is divided by 79.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 5*i**2 + 3*i - 2. Let v be l(-4). Let r(a) = -10*a - 2. Let w be r(v). Suppose 2*x = 5*o + 67, 1321*o + x - 65 = 1325*o. Is o <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + 13 + -36 + -1 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -9 + 1550\/110.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - 3*n**2 - 2*n - 3. Calculate h(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 4\/195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*r**5 + 42*r**4 - 1067*r**3 - 821*r**2 + 589*r - 9?\nAnswer: 300*r**2 + 1008*r - 6402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115739 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 are the prime factors of 24610?\nAnswer: 2, 5, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*v - 53*v**2 + v - 1 + 30*v as t + f*v + g*v**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*y**2 - 72*y**2 - 53*y**2 - 73*y**2 + 341*y**2 - 68*y**2 + 9*y.\nAnswer: -2*y**2 + 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w**3 + 586*w**3 + 214*w**3 - 86*w**3.\nAnswer: 692*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12223 + 518 = -411*f for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 7:42 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkkm when four letters picked without replacement from nkkm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*h - 105, -5*h - 3*p + p = 129. Is 3*-3*4101\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 + -722\/9. What is the nearest to -10 in -0.2, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67751, 67908, 68173, 68552, 69051?\nAnswer: 69676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 140118*c = -140122*c + 80, c = -4*y + 5*c - 88 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.35594 rounded to one dp?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -8 - -13) + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 880 = 4*l, -8*l = -5*g - 6*l + 850. What is the smallest common multiple of 8 and g?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -2, 2, -5, 4, -707, -1 in increasing order.\nAnswer: -707, -5, -2, -1, 2, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -103 and -27.\nAnswer: 2781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1260) + -2*sqrt(1260))\/(sqrt(84)\/(sqrt(24)\/sqrt(2)))*-3.\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 1796602?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/4)\/(405\/270).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19256813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/5 - 10399*d**4\/5 + 93647*d**3\/5 - 260173*d**2\/5 + 281006*d\/5 - 20816 = 0.\nAnswer: -10408, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*t - 3, -n + 20 = -4*t. Suppose 4*w - 5*m - 240 = -w, 3*w - m - 140 = 0. Suppose n*f - w = 138. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 + 30 + 3*r**4 - 2*r**4 - 56 + 2*r + 2*r**2 as b + o*r**2 + l*r + n*r**3 + h*r**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/8 of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11360150 + -4?\nAnswer: 11360143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 7*s**6\/360 + 11*s**5\/45 + 17*s**4\/18 + 8*s**3\/9 - 4*s**2 - 10*s + 12. Factor v(y).\nAnswer: (y + 2)*(y + 4)*(7*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -6*(sqrt(117) - sqrt(117)*2))\/(sqrt(81)*-1 - sqrt(81) - sqrt(81) - sqrt(81)).\nAnswer: -7*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-4034.\nAnswer: 121.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 11411?\nAnswer: -11414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31020 (base 4) in base 15?\nAnswer: -3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-31 - 2) - 59.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -56?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 1. Let j(l) = -l**2 + 10*l + 2. Let s(f) = -j(f) - 2*y(f). Let m be s(9). Solve q - 13 = -q + m*v, 0 = 4*q + v + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 1. Let h be y(-3). Put h, 0.3, 1\/9, -1\/4 in increasing order.\nAnswer: -1\/4, 1\/9, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(-22\/5))**(-2\/11)*b\/(b\/((b**(1\/3)\/b)\/b*b))*b\/b**5*(b\/(b*b**2\/b*b*b)*b)**(-9\/2) assuming b is positive.\nAnswer: b**(77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 77*x**2 + 54*x + 4358. Give v(-77).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/((-4)\/(-8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -12908*l + 116179. Determine j(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5 + 1 - 3*d**4 + 2*d + 3*d**3 in the form i*d + h*d**2 + g*d**4 + q*d**3 + v and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8*k**3 + 7*k**2 - 7. Suppose d + 2*c = 21, -4*d = -3*c - 16 - 68. Let a(x) = x**3 + x**2 - 1. Give d*a(j) - 3*r(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 4905 = 34*a - 1305. Calculate the greatest common factor of a and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 8*s + 596394 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 9:05 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132148 (base 9) to base 14.\nAnswer: -213ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**8\/h*h**(-4)\/h*h**(-5)*h**6\/h assuming h is positive.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = q - 10, 3*q + k - 2 = -0. Suppose t + 11*t - 48 = q. Solve t*a = 20, -g - 4*a - a = -29 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4036 - 4040. Let i = 724\/63 + -82\/7. Suppose q = -4*u - 3*q + 172, 4*u = -q + 157. Which is the nearest to 0.1? (a) r (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*w - 85766, 5*w - 1083*c - 85764 = -1082*c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101102001202 (base 3) to base 9.\nAnswer: -342052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1461 + -146718?\nAnswer: -148280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 12*l + 2*q + 6 = 0, -5*q - 11 = -3*l. Suppose -3*n - u = u - 2203, -5*u = l*n - 1476. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 584*526.\nAnswer: 307184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338070 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -310*r + 4599 + 4200 - 119 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 4204 + 4204.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a factor of 53526015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3663335.\nAnswer: 5, 13, 56359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13963320 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*w**3 + 3*w**3 + 2*w - 92*w**3 + 48*w**3.\nAnswer: -133*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -32*d - 1611. What is the lowest common multiple of f(-51) and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -27377*f + 8139. Let o(b) = -9114*b + 2713. Let n(t) = 11*o(t) - 4*p(t). Find the first derivative of n(w) wrt w.\nAnswer: 9254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003349 rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -299)\/7*1. Suppose x = -16*m + 11. Sort -1, 13, -5, m in descending order.\nAnswer: 13, -1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 392 = 3*h. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 49 = 4*h - 2*c, -8*h - 3*c - 105 = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6)*(-3 + 6). Let w be -1*(-4 + v) + -1. Suppose w*j - 45 = -0*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:23 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5\/10 - 3*j**4\/10 - j**3\/5.\nAnswer: -j**3*(j + 1)*(j + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66654 = -341*s + 3239*s for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5 + 18*y**4 + 15*y**3 - 36*y**2.\nAnswer: 3*y**2*(y - 1)*(y + 3)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77619.26 days to microseconds.\nAnswer: 6706304064000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32291203.92 rounded to the nearest 1000?\nAnswer: -32291000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 3*q**2 - 1. Let g be m(2). Solve -5*i + 16 = -g*p, 4*p - 3*p = 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-32)*(3 - 1)*(-16)\/(-20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c + 12 = 0. Let k be 1*((4 - 1) + c). What is the third biggest value in k, -4, -0.4, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2823 - 2825. Which is the second smallest value? (a) -1 (b) h (c) -5 (d) 2\/7 (e) -10\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -13*m**4\/24 + 13*m**3\/6 + 177*m**2. Let v(g) be the second derivative of -g**3\/2 + 3*g**2\/2 - g. Give 4*k(w) - 18*v(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -285 + 295. Solve -44 = -w*b - b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*w - 214440 = 0, 5*w + 85496 = 5*d - 271954. Suppose -22205 + d = -8*k. What is k rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*617\/(-1) + -6. Suppose 164 = -19*f + g. Calculate the greatest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**4\/6 - l**3\/2 + 131*l**2. Calculate n(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.98 + -0.02. Let h be 2\/12 - 1\/(-2). Do p and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1818726 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13*a - 186. Suppose -240 = 75*g - 91*g. Let h be l(g). What is the highest common factor of h and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 19*x - 5. Calculate j(-4).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1537*y - 644 + 179 + 294 + 171 in the form v*y + s and give v.\nAnswer: -1537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-276)\/88)*10703\/11676.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29568238391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18414 = 2*s - 39602. Round s to the nearest one hundred.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 5*o = -5*t - 35, -t - 2*o = -14. Solve -q + 4*y - 13 - 5 = t, -5*y + 30 = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 14, 107, 270, 509, 830?\nAnswer: 1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11348316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/89 or -5\/38?\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3451603 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2702 is divided by 1330.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, p: 1, v: 1, r: 2, n: 1, m: 1}. What is prob of picking 1 r, 1 n, and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 277567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 735580*r**3 - 90526770*r**2 + 3712286780*r - 50739295595.\nAnswer: 5*(r - 41)**3*(r + 147239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -18c8 (base 15) to base 6\nAnswer: -40455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**2*u**2 - 47885*s**2 - 1639*u**2 with respect to u.\nAnswer: 4*s**2*u - 3278*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1064\/(-1862))\/(4*2\/28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 27. Suppose 4*b - 7*b + 102 = a. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8152\/(-39741)*(-13)\/6\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) 2 (c) 0.2 (d) -0.01 (e) -3\/5 (f) 526225\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2260594450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26112.2907 - 26114. What is l rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 2322031043?\nAnswer: 2322031040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*(-4)\/8*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*(-6)\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 4*z + 4*z. Let b(d) be the first derivative of -d**5\/60 - 3*d**2 - 5. Let l(q) be the second derivative of b(q). Determine u(l(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5a4 + -5?\nAnswer: -5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 18*s**2 + 21*s - 321. Calculate the least common multiple of b(20) and 72.\nAnswer: 58392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**13*w**12*(w**(-1\/23)\/w)\/(w\/(w**(-3\/14)*w)) assuming w is positive.\nAnswer: w**(7645\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from hhbjbbjb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 = t, 2 = -t - 0. Suppose 0 = -h*q - 3*q + 33. What is the remainder when ((-12)\/(-3))\/((-1)\/(-5)) is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 7. Let u be n(6). Let i be ((-132)\/(-187)*17)\/4. Solve -2*s = 2*d - s + u, 3*d + 15 = -i*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-27)\/(-18))\/(1\/2). Suppose m*z = z + 3*i + 31, i - 3 = -z. Let o(f) = -2 + 5 + z*f - 14*f. Let c(a) = 7*a - 4. Give -4*c(l) - 5*o(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -k - 3, 0 = -d - 4*k + 6. Let u = d - -12. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 4*u + 3*u + (-u - 1 + 1)*(76 + 158 - 4)*(2 - 1 + 3).\nAnswer: -919*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -2 + ((9 - -2) + -4 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110210111200 (base 3) to base 8.\nAnswer: 25167514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176135219 to the nearest integer?\nAnswer: 13272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/4 (c) 1\/3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789362?\nAnswer: 2, 7, 56383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18396 (b) 1\/4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 + -152. Let u(f) = 3*f**2 + f**2 + 98 - 78 - 11*f. List the prime factors of u(n).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9921 - 2408. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (1 + -2)) + 5. Let y = 23 + 10. List the prime factors of 126\/y + a\/22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 0, 5 in decreasing order.\nAnswer: 5, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4767*a - 4761*a - 117750 = 0. What are the prime factors of a?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*l + 377 + 781, 1 = -l. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2108 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*t - 4060, 0 = 2*k - 5*t + t - 8128. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-42))\/((-2)\/87) + 40\/280. Which is the biggest value? (a) 4\/9 (b) 56 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000692 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.220867053735 less than 4.1?\nAnswer: 4.320867053735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27962.60435 + 29.3.\nAnswer: 27991.90435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -6. Let d(f) = f**2 + 4*f - 10. Let z be d(n). Let y(p) = -54 - 56 - 63 + 172 - p. What is y(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 51 = 2*j, -w + 4*j - 17 = -2*w. Let i = w + 1. Calculate the smallest common multiple of i and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + -0.1. Let k = f + 0.3. Suppose 5*l = -7*u + 2*u - 45, l - 11 = 3*u. Which is the closest to 2\/3? (a) l (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1116*l**2 + 3*l - 4. List the prime factors of z(1).\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + ((sqrt(3) - (sqrt(3) + -1 - sqrt(3))) + 5 + sqrt(15)\/sqrt(5) + -3 - -3*(sqrt(363) - sqrt(363)*-3)*2).\nAnswer: 2 + 266*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 4. Let f be 3 - (8 + -8)\/((-2)\/(-1)). Let m be (4\/f)\/((-6)\/(-162)*6). What is y(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13*c - 32. Let a be v(10). What is the highest common divisor of 28 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 342 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:04 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14910 minus 0.17?\nAnswer: -14910.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3222 is divided by ((-1)\/3)\/(5 - 980\/195).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**10\/1680 - z**6\/90 + 5*z**3\/3 - 1. Let v(d) be the third derivative of p(d). What is the third derivative of v(o) wrt o?\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = s + 9, 5*d + 0*s = 2*s + 12. Suppose g = -t + 40, d*g = -3*t + 25 + 53. Solve -41*v - 1 = -g*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1630 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 8*o**2 - 6*o**2 + 12*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*z = -30*z + 22*z - 4108. Calculate the remainder when 311 is divided by z.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**3 - 2*w**2 + 3 - 2 - 1 - 13*w. Calculate y(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - ((12 - -28) + -44).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1295373 and 40735.\nAnswer: 6476865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f + 17. Let c(i) = i**3 + 2*i**2 + i + 2. Let u be c(-2). List the prime factors of v(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -13. Let l(r) = r**2 - 5*r + 6. Let u be l(7). Let f be (-9)\/15 + j\/u. Put -3, -5, f in increasing order.\nAnswer: -5, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*y - 165 = 0, 0 = -5*y + 2*y - 15. Which is the closest to 0.1? (a) 3\/4 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*a**3 + 43*a**3 + 18*a**4 + (3*a**4 - 2*a**4 - 2*a**4)*(-3 - 4 + 5) + (2*a + 4*a - 3*a)*(-3*a**3 + 3*a**3 - a**3).\nAnswer: 17*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -155642090, -311284181, -466926272, -622568363, -778210454, -933852545?\n\"Answer: -155642091*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 312. Let k be (-2)\/8 - 136\/n. Suppose -7*m = m. Which is bigger: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*f = -1967, -f - 474 + 2433 = x. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:38 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Suppose 4 + 0 = i*n. Suppose -s - 3 = n. Let c(m) = m**3 + 6*m**2 + 4*m - 5. Give c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2175 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 613021 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1744148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-2)\/(-2)*2\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 > -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -q + 5, 3*q = 5*n - 2*q + 25. Put -28, 1, n, -1 in descending order.\nAnswer: 1, n, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 17 - 21) + (2 - (-4 + 1))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139113.45 rounded to the nearest ten?\nAnswer: 139110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.91032 to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50.7569 + -0.0431. Let d = t + -14.2. Let k = d + 65.0094. What is k rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m + 9. Let r(n) = -2*n**2. Determine r(s(f)).\nAnswer: -18*f**2 - 108*f - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7880, -7894, -7918, -7952, -7996, -8050?\n\"Answer: -5*o**2 + o - 7876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1888598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19.34172ml?\nAnswer: 0.01934172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 1376?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1534918, 1534924, 1534930, 1534936, 1534942?\n\"Answer: 6*f + 1534912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0925044366 to 6 dps.\nAnswer: -0.092504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 15*v**2 - v. Let f be m(1). Calculate the highest common factor of f and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -478586 divided by -271.\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1682*h**2*i**3 + 16*h**2*i**2 - 2*h**2 + 127*h*i**3 + 163*i**3 - 3346147*i**2 wrt i?\nAnswer: -10092*h**2 + 762*h + 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1327 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h + 3 - 2 - 6. Let m(k) = k - 2. Let j = 24 + -15. Suppose 7*u = 4*u - j. Calculate u*y(n) + 8*m(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (39\/3)\/((-18)\/(-3852)). Is y > -2778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 32, 28, 18, 2, -20?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, 14\/15, 8\/3, 4\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1029) - sqrt(1029)) + sqrt(21) - (sqrt(189) - sqrt(189)*-1))\/(sqrt(42)\/(sqrt(6) + (sqrt(42)\/(sqrt(21)\/sqrt(3)) - sqrt(6)))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 + 0)*(-3 + 11 + 2)*(-29 + 29*b + 29) in the form k*b + m and give k.\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -298681 and -71.516?\nAnswer: 298609.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1222022?\nAnswer: 1222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2. Let n be (-4)\/20*-5 - -2. Let w(l) = -13 + 10 - l + n. Calculate b(w(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 11:06 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + (-1 - 20) + 5. Which is greater: -7\/3 or d?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 114. Let d(f) = -4*f**2 - 3*f - 6. Let v(n) = -3*n**2 - 2*n - 4. Let p(t) = 2*d(t) - 3*v(t). What is p(s(k))?\nAnswer: 4*k**4 + 456*k**2 + 12996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2 + 5 - 2 - 3*b - 8. Let v(w) = -2*w - 2. Calculate -5*u(n) + 8*v(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4}. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -245, -271?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 1 + (-28)\/(-7). Solve 0 = -0*k + 3*k + 2*a - 1, -u*a = -k + 23 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 16\/4 - -6. Suppose 4*l = -4*x, -2*l + f = 8. Determine h, given that 22*h**x + 0 + 0 - 6*h - 20*h**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3141621 to four decimal places.\nAnswer: -0.3142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -95 (b) 3 (c) -0.4 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -10334?\nAnswer: -10324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27201 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 4*i + 3*s - 789, -3*s = -3. Suppose 64 = 3*q - n - 58, 5*q = -n + i. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -10\/27*l**3 + 0*l + 2\/9*l**4 - 2\/45*l**5 + 2\/9*l**2 + 1. Find n, given that k(n) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 + 2*k**3 + k + 4*k**2 - 4*k**2. Let z be j(2). Let t = z + 2. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5600 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17003309 <= 17003308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45535223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -4, 3, 849.\nAnswer: -5, -4, 3, 5, 849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -706*u + 3. Let d be t(0). Solve -d = 2*w + 1, -5*p + 23 = -4*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)\/(o*o\/o**4))\/(o*(o*o*o**(-2\/5))\/o*o\/(o*o*((o\/o**(-3)*o)\/o*o)\/o)))**36 assuming o is positive.\nAnswer: o**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83700 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.2780763mm?\nAnswer: 0.02780763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -315 (c) -131 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 63 in 3\/5, 3, -1978?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14514 (base 15) in base 8?\nAnswer: 177365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1020\/70 - 3\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -3\/1441 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30614539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -44, -8, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15995 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: Is 65.76 < -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 200212 (base 6) in base 13?\nAnswer: 7166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 267bb14 (base 12) in base 11?\nAnswer: 4342089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 1241 = -16*i - 18*i + 38*i for i.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, 5.6, -0.5, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4338)\/9399*2*26?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 12*u**2 + 4. Let s be w(12). What is the closest to 0 in -0.2, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -386 + 431.2. Let r = t - 42.73. Let w = r - -0.03. Round w to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3105494474?\nAnswer: 2, 1552747237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5320 - -2?\nAnswer: 5322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0651493 rounded to 4 dps?\nAnswer: 0.0651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 - -12) + 12 - -10 - (6 - (5 - -30))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -17*f + 29. Let y(s) = 21*s - 32. Determine -5*p(x) - 4*y(x).\nAnswer: x - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + -1.2. Let q = 13 + -8. Which is the biggest value? (a) k (b) q (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 5\/2*p**3 + 47*p - 3*p**2 + 0 + 3*p**4. Suppose z(y) = 0. What is y?\nAnswer: -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 29*v\/4 - 15\/2.\nAnswer: (v - 1)*(v + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/3)\/((-2)\/(-10)). Let q = a - -25. Let b = 14 - q. Solve 5*p = p + b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -1)*(-28)\/7. Let n(i) = i**3 + 6*i**2 + 6*i + 3. List the prime factors of n(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 1)\/((-8)\/39) + (-1304041)\/2612 + 497\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.002 - 7607616\nAnswer: -7607615.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*s - 162, s = -2*n + 72 - 16. Let i be (-6)\/18 + n\/9 + 0. Let y(r) = -r**2 + r. Determine y(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:58 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 7:38 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 17 - (-34 - 26 - -47)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*j + 132*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/18 + (-2)\/6)*33. Let j(m) = -4 + 4 - 10*m + o*m. Let n(l) = 3*l. Determine n(j(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1840168.\nAnswer: 2, 11, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/7063300 and 61\/20700.\nAnswer: 63569700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 121264 and 2808.\nAnswer: 3274128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 106*n - 2. Let o(j) = 89*j - 1. Let h(q) = 7*o(q) - 6*u(q). Give h(6).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8569, -8529, -8489, -8449, -8409?\n\"Answer: 40*f - 8609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2723\/5 bigger than -546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 4*a - 3*a)*(30 + 6*a - 30 + (1 - 6 + 4)*(2*a + 3 - 3) - a + 3*a - 3*a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*u + 18, -4*z + 583 = 3*u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**(-16)*l)\/l)**(-41) assuming l is positive.\nAnswer: l**(-738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1273 in 1.02, 0.5, -1\/2, 0?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5\/4 - 2901293*f**4\/4 - 526095630296*f**3 - 2630465820997*f**2 - 4208738930760*f - 2104368014736 = 0. What is f?\nAnswer: -1450644, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*i**2 - 1201*i**2 + 5*i**3 - 1998*i**2 - 7*i**3.\nAnswer: -2*i**3 - 3497*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-10) + 2\/(-10) - -143. Suppose 5*m - 32 = 2*z - 3*z, 0 = -3*z - 5*m + j. List the prime factors of z.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/11)\/t)**(-2\/47))**44 assuming t is positive.\nAnswer: t**(104\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*j*s**2*y - 462*j*y**2 + 4642*j + 5*s**2*y**2 + s**2 - 15*s*y**2 + y**2 wrt y.\nAnswer: -924*j + 10*s**2 - 30*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*t**3 + 1 + 1 + 0.\nAnswer: -387*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k + 60. Let o be m(6). Suppose r = -z - 0*z - 16, 3*z = r + o. Let p be (-230)\/23*r\/(-5). Is -36 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8498559 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 18175?\nAnswer: -3\/18175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 + 963\/(-63))*(-21)\/6. Let c(n) = 10*n**2 - 8*n + 7. Determine c(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10341.4 - 5708.\nAnswer: 4633.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1503?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 - -110. Let o be (-26)\/(-13) + (0 - 1)*x. Sort 4, -3, o.\nAnswer: -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 28656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 9*j + 2430. List the prime factors of a(0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -369 + 214. Let i(a) = 16*a**2 + 4*a. Let l be i(-4). Let y = l + v. What is the highest common divisor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n**3 - 81*n**2 + 31*n - 44. Give r(-14).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 r when three letters picked without replacement from rqrr?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -0.04691 in decreasing order.\nAnswer: 4, -0.04691, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 5 + -4 - -1) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 22*r - 17*r - 12, -3*t - 3*r = -6. Let p(w) be the third derivative of -w**5\/6 + w**2. Determine p(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6007*y - 5807*y + 13193*y to w + z*y and give z.\nAnswer: 1379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 2552, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 24*l**2 + 26*l - 51. What is q(24)?\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6*a + 182 = -0*a, 4*a = 24. What is the remainder when s is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 47, 111, 203, 323, 471?\n\"Answer: 14*b**2 - 6*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w**(-2\/13)\/w)\/((w*w\/w**(5\/6))\/w**(-1\/3))*((w**2)**(-29))**(-1\/2) assuming w is positive.\nAnswer: w**(737\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (393\/6)\/((-1)\/(-2)). Suppose -3*q + v = -4*n, -2*q - 3*n = -3*q + 47. Suppose 0 = -14*d + 3*d + 242. What is the remainder when q is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 12:14 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 812619.6 centuries?\nAnswer: 975143520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 36 = 0, 25*f + z - 15 = 22*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/((k**0*k)\/k*k)*k)**(-47))**(1\/6))**4 assuming k is positive.\nAnswer: k**(-188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -445560.832.\nAnswer: -445561.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -347?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*t - 10. Find the second derivative of -2*k - t*k**3 + k + 2*k**3 + 2*k wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((1 + sqrt(176) - sqrt(176)) + 4))**2 + 4.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(175)*-2)\/((-1*sqrt(50))\/sqrt(10)))\/(-1*sqrt(7)*3 - (sqrt(7) + sqrt(14)\/sqrt(2) + sqrt(7))*3).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 424123*p + 60. Is z(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, m: 2, f: 3, o: 2, p: 1}. Give prob of picking 1 f, 1 p, and 1 m.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (273\/651)\/((-124)\/1922).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -32. Let k(r) = r**3 - 6. Let d(p) = -1. Calculate s*d(j) + k(j).\nAnswer: j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(8\/11)*x\/(((x*(x**(-14)*x)\/x)\/x*x)\/x*x))\/(x*x\/x**(3\/8))**(-46))**(24\/11) assuming x is positive.\nAnswer: x**(23622\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 79*q**2 + q**5 - 79*q**2 + (5*q**3 - 4*q**3 + 0*q**3)*(-5*q**2 + q**2 + 2*q**2) + 2*q**5 - 4*q**5 + 3*q**5 + 0*q**5 - 3*q**5 + 2*q**5.\nAnswer: -q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -306 or 0.512?\nAnswer: 0.512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 - 5*s**2 + 7*s - 38. Calculate the smallest common multiple of m(6) and 472.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818 is divided by 42.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/35*(1 - 0). Which is the nearest to m? (a) 1\/2 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.011055 - 0.093298. What is i rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 4:11 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**8*y)\/y**(-2))\/(((y*y**(-6)*y*y*y)\/y)\/y*y\/y**(-1\/5)) assuming y is positive.\nAnswer: y**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.192 - -83.192. Let v = d + -83.2. Let m be 21\/28*3\/9. Put m, -0.5, 0.2, v in ascending order.\nAnswer: -0.5, v, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2757534.107 rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005679615 rounded to six decimal places?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27, 120, 409, 828, 1365, 2008, 2745, 3564?\n\"Answer: -2*d**3 + 83*d**2 - 88*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 - 2*r**2 - 5 + 1 - r - 2*r. Let c be x(-4). Calculate the highest common divisor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 3218475.\nAnswer: 3218475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*n + 155. Let m = n + 22. Let g = 1 + m. Let u(o) = o**2 + o + 6. What is u(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 14.4. Let i = 2.4 + w. Let z = 4 + i. What is the smallest value in z, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 1273*p + 85917 = 23981 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/31? (a) -0.08 (b) -2\/11 (c) -6.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by -2294?\nAnswer: 59\/1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7361*w = 7350*w - 77 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 41954821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h - 11 + 41 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q + 0*q)*(1 - 53 - 100)*(-3*q**4 - 2*q**4 + 3*q**4).\nAnswer: 608*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93 + 697. Suppose 3*x = m - 142. What is the remainder when x is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284433 = -1890*x + 2271*x - 6788*x - 85816 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 106 + 34 = 0. Let j(h) = 4*h + o + 12 - h**3 + 10*h**2 - 36. Is j(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 - 119*h - 929. Calculate q(-51).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000293857764 rounded to seven decimal places?\nAnswer: 0.0002939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25400 and 2200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*y - 3. Let p(t) = -2*t + 8. Let v be p(y). Solve v*q - 25 = 7*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1901, 3918 in descending order.\nAnswer: 3918, 1901, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (10*7\/140)\/((-1630245)\/407562 - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + c - 6. Let t be -1*(-1)\/1 - c. Suppose -x + 234 = t*x. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5200, -10399, -15598?\nAnswer: -20797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14290.299 - 2.\nAnswer: -14292.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 50 = -17*h. Calculate the least common multiple of h and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 11*m + 4. Determine n(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*y = 113*y + 1716. What is the least common multiple of y and 4?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3441*x**3 - 4*x**2 + 4*x**2 + 3473*x**3.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 56*l**2 - 3*l + 2. Let n be c(1). Suppose -3136 = -6*z + 3*z + i, -3138 = -3*z + 3*i. What is the greatest common factor of n and z?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*m*s**3 + 4*m*s**2*z**2 + 49*m*s*z**5 + s**3*z**5 - 2*s**3*z**2 wrt z.\nAnswer: 2940*m*s*z**2 + 60*s**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008818325 to 4 dps.\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 78 in 0.4, 1\/5, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343870207?\nAnswer: 343870207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 7. Let f be i(5). Suppose l = -4*r + 1, -l - l + 32 = f*r. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 1\/5*w**5 + 0*w**4 + 18*w**2 + 0*w + 0 - 7\/6*w**3. Differentiate z(h) wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**2*g)**(2\/179))**(-31))**(7\/2) assuming g is positive.\nAnswer: g**(-1085\/179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/9 + 1100*h**2\/3 - 191906*h + 277348456\/9 = 0 for h.\nAnswer: 308, 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15372 and 407358?\nAnswer: 814716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or -0.6?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319936085.\nAnswer: 5, 7, 9141031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 1101335*p**2 + 4405280*p - 4405260.\nAnswer: 5*(p - 220263)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.057, 6\/5, 0.2 in increasing order.\nAnswer: -0.2, 0.057, 0.2, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9490 at most -9477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**10\/15120 + h**7\/280 + 5*h**4\/6 + h. Let u(q) be the third derivative of b(q). Find the third derivative of u(k) wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2800 = 5*b - 0*b - 2*s, -4*s - 1136 = -2*b. Suppose 0 = -6*m + b - 192. What is the remainder when m is divided by (-3)\/((-27)\/(-12))*-12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 407721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50026 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -39.3, -2969, 264 in decreasing order.\nAnswer: 264, -39.3, -2969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 + 0*r**5 + 2*r**5 + (6*r**4 - 3*r**4 - 2*r**4)*(15*r + 7*r + 3*r).\nAnswer: 27*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 240 in -2\/5, -0.087, 7\/13?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + m**2 + 2*m**2 + (-2*m**2 + 4*m**2 - 3*m**2)*(-86 - 20 + 16) to the form y*m + l + i*m**2 and give i.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 813 - 1785. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31322120 by -2.\nAnswer: -15661060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(98))**2.\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2. Let w(y) = -3*y. Let q = -13 + 16. Let d(l) = -l - 2 - q + 5. Let p(k) = -4*d(k) + w(k). Give o(p(n)).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**5\/40 - h**4\/8 - h**3\/4 - h**2\/4 - h\/8 + 42. Suppose p(l) = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 = 208*v + 1275 + 1032 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - o + (-2 + 4 + 0)*(-2*o - 3*o + 12*o))*((-4 + 7 + 2)*(3*o - 3*o + o)*(2*o - o**2 - 2*o) + 2*o**3 + 0*o**3 + 4*o**3).\nAnswer: 13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430*n + 2011*n + 1 + 2429*n - 52*n - 1.\nAnswer: 3958*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-3 + 253\/11 - -3) + (1 - -8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1113372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199 - -321\/2. What is the common denominator of (5\/(-160))\/((-2)\/(-14))*28 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501.3959 millilitres to litres.\nAnswer: 0.5013959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 20. Find the third derivative of -8*u**a - 4*u**2 + 6*u**6 + 2*u**2 wrt u.\nAnswer: 720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218803052167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*4\/16*(-4)\/(-2). Solve d = 9*i + 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/23616 and -29\/51.\nAnswer: 401472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 21, 5\/12079, -0.8.\nAnswer: -0.8, 5\/12079, 0.3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4962306l to millilitres.\nAnswer: 496.2306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 431 + 1111 = 0. What are the prime factors of u?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -65, -241, -591, -1175, -2053?\nAnswer: -3285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 4*w = -12*x + 14, 3 = -3*w for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -15. Suppose 5*m + j = 112, j = s*m - 2*j - 124. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 125\/7 - (8 + (-228)\/28). Calculate the greatest common factor of 1035 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424.7679206 rounded to two dps?\nAnswer: 424.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, p: 8, c: 3}. What is prob of sequence pci?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -762 - -1407. Let i = b + -645.000798. Round i to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*d + 4*d - 356, -5*c - 4*d - 599 = 0. Let z = 125 + c. Find the third derivative of -157*k**z - 35*k**2 + 69*k**6 + 43*k**6 wrt k.\nAnswer: -5400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-10) - (-5 + 119\/35). Suppose 4*w + 17 = m. Let y be w\/(-14) - 5\/(-35)*5. What is the greatest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccrctccrccrdrrr. Give prob of sequence rc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1682*a**3 - 129*a**3 - 372*a**3.\nAnswer: 1181*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1083671 + -173.\nAnswer: 1083498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -4\/5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 24 = 18. Suppose 4*s = -0*h + 4*h - 8, -q*h - 4*s + 34 = 0. What is the smallest common multiple of h and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230400585 a multiple of 3715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 67. Suppose -p*a = -16*a + 728000000. What is a rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/1680 - (-508)\/42?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*z + 166*z - 209 = 52*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 15 = -5*o. Let x = -66.2 - -66. Which is the closest to -0.4? (a) o (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94380 rounded to the nearest one thousand?\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2 - 2*b + 12 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/60 + 5*f**4\/4 + 75*f**3\/2 - 2*f**2 + 810. Suppose q(n) = 0. Calculate n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322012 (base 4) to base 14\nAnswer: -14d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 434\/35 - 2\/5. Let s = k + -10. Suppose 0*h - 4*h = -5*w + 4, w + s*h = -2. Solve 20 = 4*f - w*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260030, -260031, -260032, -260033, -260034?\nAnswer: -260035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -37. Let b(i) = i**3 - 13*i**2 - 21*i + 21. Let c be b(d). Suppose 5*j + 3*k + k = 195, -k = 4*j - c. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from gtggutguu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4682 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*h + 61 - 33*h + 46*h)*(3*h**3 + 0*h**3 - h**3) + 0 + h**4 + 0 to the form f*h**3 + r*h + a*h**2 + m + x*h**4 and give f.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 565, 679, 869, 1135, 1477, 1895?\n\"Answer: 38*g**2 + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.6 - -13.4. Let d = g - 20. Let a = -5 - d. What is the closest to a in -4\/5, 4, -1\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23970455*g + 16783084.\nAnswer: -23970455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a gram in milligrams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 - 2*p**2 - 6*p + 9. Let g be v(2). Suppose g*h - 4*y = 42 + 65, -4*h - 3*y + 67 = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33*(-1)\/3 + (405\/12)\/3. Let m = 1 - 2. Let q = -0.05 + -1.95. What is the closest to t in m, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 3*k**2 + 28*k**2.\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8445, 34002, 76665, 136428, 213285, 307230, 418257?\n\"Answer: -d**3 + 8559*d**2 - 113*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 25*m - 55 + 52)*(-m**2 + 0 - 6 + 5).\nAnswer: 26*m**3 + 3*m**2 + 26*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 3:00 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 227\/2 - (-2)\/4. What is the remainder when j\/14 - (4\/(-28))\/(-1) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2210337?\nAnswer: 3, 245593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1257 not equal to -1257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x - 5*x**3 - 3*x**3 - 88*x + 10*x + 38*x.\nAnswer: -8*x**3 - 30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3140 > -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4, 12, -606?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f + 39*f + 68*f + 63*f.\nAnswer: 188*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-264)\/(-66) + -9 + 0. Let r(n) = n**3 + 3*n**2 - 12*n - 4. Let b be r(d). Which is smaller: 7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1568 and -68\/530775.\nAnswer: 118893600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 5:33 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028205791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 4*p - p)*(-5 + 5 - 3*p**2) + 444*p**3 - 29*p**3 - 201*p**3 to the form n*p**3 + r*p + k*p**2 + x and give n.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.22 - -14. Let a = -0.78063 + k. Round a to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 3*b = 3*f - 24, -4*b = 0. Suppose -f*n + 657 = 1. What is the remainder when n is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/51)\/9*(-8)\/8?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (2 - 41) - -94?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 95*s - 339. Determine v(3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 12*x**2 + 10*x. Let y be v(-11). Suppose 0 = -2*d + y + 145. Suppose 3*f + 2*f = 135. What is the remainder when d is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.36 + 13. Let c = -4.36 - g. Let w = 2.2 + -2. What is the second biggest value in w, -2\/3, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**4 - 10*c**3 + 60*c**2 + 40*c - 160 = 0?\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743170 is divided by 185557?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + l - 3*l = -11, -l = -5*y - 16. Let c(q) = 7. Let z(u) = -u - 20. Calculate y*z(w) - 8*c(w).\nAnswer: 3*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -411893 divided by -411893?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-120)\/128)\/(-5))\/(-7*945\/(-1176))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55098438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/11, 55\/79, 6\/43 in decreasing order.\nAnswer: 55\/79, 6\/43, -8\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 38160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from bkwybjbyykdbbydbdk?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**4 - 2*f**4 - 2*f**4 + (-2*f**2 + 4*f**2 - f**2)*(3*f**2 - 4*f**2 + 4*f**2) + 100*f**4 - 143*f**3 + 143*f**3.\nAnswer: 104*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -41. Let o = 1 - 0.8. Let v = -4 + 3. What is the closest to r in 4, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172 (base 12) to base 4.\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) -0.2 (b) 52\/11 (c) 0.092 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0895 + -0.1105. Which is the nearest to k? (a) 11\/8 (b) -0.5 (c) -0.3 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26063552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 15*s**2 + 4. Let x = -113 - -128. Let b be l(x). Find the third derivative of -11*r**3 + 5*r**3 + 42*r**b + 7*r**2 + 6*r**3 wrt r.\nAnswer: 1008*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u - 3. Suppose 2*j = d - 4, 0*j + 5*d = 3*j + 6. Let v be h(j). Suppose -q + 32 = v*q. Calculate the remainder when 14 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4\/9 - 1576*u**3\/3 + 200880*u**2 - 22307400*u - 974308500 = 0. What is u?\nAnswer: -33, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 2)\/((-1)\/(-39057)). Let k = -129057 + s. What is k rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*x - 12*x + 108*x as m*x + h and give m.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k = 17*k + 30*k + 497 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 30979.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83675.\nAnswer: 5, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 8 + -8 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 360, 781, 1202, 1623, 2044?\nAnswer: 2465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-126)*2 - (374\/(-99) - (-2 - 8))?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139198*n**3*o**2 - 2*n**3*o - 44*n**3 + 740*n*o**2 - 2*n*o + 4*n + 44*o**2 wrt n?\nAnswer: 835188*n*o**2 - 12*n*o - 264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(84\/(-7))*(-12)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p**2 - 63*p + 47. Give g(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -103. Suppose 3*r - 63 = 3*f, r - 3*f = x - 4. Factor -28*p**4 - 84*p**3 - 25*p**2 + 224*p**4 - 71*p**2 - r*p.\nAnswer: 4*p*(p - 1)*(7*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 7:16 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 26*u = -y + 23, u = -5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 33 + 7)*(-4*d + 5*d + d)*(-2 + d**3 + 2 + (0 + 4 - 2)*(-3 - 2*d**3 + 3)) to the form k*d**4 + p*d + w*d**2 + t*d**3 + g and give k.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.66, 0.1, 1, 3\/53?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001163194 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-255)\/34*((-8)\/(-25) + 0)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -352 (b) -1\/3 (c) -0.3002\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 467, 622, 567, 296, -197, -918, -1873?\n\"Answer: -q**3 - 99*q**2 + 459*q + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 701 = -693. Let p(b) = 6*b - 2. Let h(k) = -5*k + 2. Determine a*p(u) + 5*h(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekp when three letters picked without replacement from {p: 1, l: 1, e: 1, f: 1, k: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-32 - -17) + 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + l**3 + l**3)*(-1 - 1 + 3)*(-1 - 1 + 0)*(-2 + 1 - 1).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23880533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 4 + 29 + 15 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.57605ng in tonnes?\nAnswer: 0.00000000000008157605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b - 1 + 9*b + b**2 - 1. Let w be r(-4). Suppose -2*x + 250 - 708 = -5*t, 254 = 3*t + 4*x. Calculate the greatest common factor of t and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 170762, 341511, 512278, 683069, 853890, 1024747, 1195646?\n\"Answer: j**3 + 3*j**2 + 170733*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 (base 7) in base 9?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2. Let g(o) be the first derivative of -2*o**2 - 2. Give v(g(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.15 - -41.85. Let y = 41.9916 - p. What is y rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 18*s = 2*v - 24, -s - 3*v - 3 = 0. Are -2 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -10*x + 5*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = -2*o, -3*o - b + 6 = -o. Suppose 0 = 3*q + o*f - 5*f - 7, -4*f + 40 = 5*q. Let l = q - 2. Solve 2*s - 2*a - 3 = 3*a, -s + 3*a = -l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 2)*(-g - 298*g**2 + 294*g**2 + 13 + 29 - 21 + 21 + 16*g**2 + (-3 + 0 + 4)*(-3*g**2 + 3*g**2 - g**2)) to d*g + m + u*g**2 and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4. Let k(b) = 3 + 1 + 7*b + 1 - 6*b. Let s(c) = 4*k(c) - 5*w(c). Let l(z) = -3*z. Give l(s(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2479156 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681242 is divided by 716?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 305.5694693?\nAnswer: -311.5694693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + y + 4*y + 34 = 0, 0 = -2*m - y - 14. Let t be (-554)\/(-22) + m\/33. Calculate the greatest common divisor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/(10\/360). What is the greatest common factor of y and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*q = -a + 9, 6 = 2*a - 4*q. Let y be 2*2\/(-18)*-9. What is the remainder when y - (2 + -3 - 1) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136 - -149. Suppose 0 = -7*q + t + 253. What is the highest common divisor of q and 228?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -258 - -773\/3. Let d = -11.04 + 11. What is the closest to d in c, -2\/13, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -47. Is 14785\/30 + n\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 2703, 3, 4, -8, -3 in ascending order.\nAnswer: -8, -4, -3, -1, 3, 4, 2703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1653066970?\nAnswer: 2, 5, 165306697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4506873 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -48, -2, 0, -29487 in decreasing order.\nAnswer: 0, -1, -2, -48, -29487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.823749s to microseconds.\nAnswer: 9823749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/5)*d)**28\/(d*d\/(((d\/d**(-5\/7))\/d*d)\/d)*d*d**(2\/7)\/d) assuming d is positive.\nAnswer: d**(2297\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 6)*(-2 + 3 - 4)*(-40 + 23 + 15)*(-3 + 3 - 3*y).\nAnswer: 54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - (-3955)\/49. Calculate the highest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-4)*(-1)\/(-2). Let s(u) = u**3 + 4*u**2 + u - 1. Let r be s(-3). Let o = -196 + 198. What is the closest to n in r, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 5952, 99, 4\/7?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 16) to base 9.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = a - 4, -16 = 5*f - 0*a - 4*a. Let b be (f - (1 - 2))*3. Is (-9)\/3 + (b - -5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**2. Let a(r) = 4*r - 20. What is z(a(t))?\nAnswer: -80*t**2 + 800*t - 2000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**3 - 2*d**2 - 5*d - 20. List the prime factors of b(6).\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 3)\/(18\/12). Let q be (1 + 0)*(a - 0). What is the third derivative of -q*l**2 + l**3 + 0*l**2 + 0*l**3 wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*u + 2*u + q, 0 = 4*q - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-250)\/(-3))\/((-4)\/(-3504)). What is f rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j**3 + 5*j. Let n(g) = -g**3 + g. Suppose -3*w = -3*u + 15, 0 = -2*w - 0*w - u + 2. Calculate w*y(m) + 5*n(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6116\/5 + 1217. Let o = -45671\/2342 + 1\/1171. What is the common denominator of p and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -287, -282, -265, -230, -171, -82, 43?\n\"Answer: n**3 - 2*n - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20*7\/((-105)\/(-18)). Let c be 31\/4 + (-18)\/d. Solve -h + 5*k = k + c, -k + 6 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -414*l + 3*l**3 + 3*l**4 - 9*l**3 - l**2 + 3 + 413*l - 4*l**3 in the form m + z*l + y*l**3 + p*l**2 + b*l**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3 + 3 - 1 + 7*n - 2*n. Let v(z) = -5*z - 6. What is 6*l(i) + 5*v(i)?\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(p - 1 + 1 - 2*p - 4*p + 4*p + (-3 + 1 + 0)*(-p + 2*p - 3*p) - 2 + 2*p + 2 - 617 + 45*p + 617)*(-1 + 1 + 1).\nAnswer: 100*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.00882 - -0.79118. Which is the fifth biggest value? (a) 0.2 (b) 2 (c) 2\/9 (d) f (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 265 = -5*q, q - 2*q + p + 55 = 0. Is 50 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s + 1261. Is x(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 2*d**2 + 2*d**2)*(6*d**2 - d**2 - 2*d**2) + 185*d**4 - 89*d**3 + 89*d**3.\nAnswer: 182*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25811, -51641, -77491, -103361, -129251, -155161?\nAnswer: -181091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, -4, 5, 0.2, -0.366?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 46 = 2*f, -401 = -3*f - 3*a - 365 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72.4 - -69. Let k = x - -0.4. Which is the closest to k? (a) -0.2 (b) 0.5 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 + -2923\/25. Which is bigger: t or 5.1?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4 - 2*a**2 + 2*a**4 - 2*a**4 wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + 7. Suppose d - 6*d + t = 4*o, -d - o = -5. Suppose 395 = 8*a - d*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 30. Suppose 4*c = 12*c. Is k >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + w = 3*w - 67, 4*f - 3*w = -273. Let u = f + 135. What is the highest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*h + 21 = -107*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*w = 0, 4 = 5*y + 5*w - 16. What is the third derivative of 4*u**3 - 5*u**y - 4*u**3 + 4*u**3 wrt u?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 12 + 5*m - 4*m + 2 + m. Let d be f(-6). What is the third derivative of -7*x**d + 10*x**2 + 4*x**2 + 14*x**2 - 23*x**4 wrt x?\nAnswer: -552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(13) - sqrt(117)*-2) + 2.\nAnswer: 2 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -44. Let t be (5 - q)\/2 - -10. Suppose -10*y + t*y = 133. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353434, 706867, 1060300, 1413733?\nAnswer: 1767166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469376 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.619115ml?\nAnswer: 0.002619115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*r, 3*m - r - 1993 = 243. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-612))\/((-2)\/(-12))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/2129 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 2*u - 2, -25 = 3*u - 3*d - 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 22*b - 5544003 = -6*f, 5*f - 4620015 = 5*b. Round f to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 11*l. Let n be p(-9). Suppose y - n = -5*s + 3*s, -4*y + 5*s = -98. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-11.1.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 6 - 3 - -1. Suppose -3*d + 8*d - 120 = 5*v, j*v = -2*d + 36. Calculate the smallest common multiple of 4 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3 + 12. Suppose -u*g + 5*y = -85, -4*g - 2*y + 41 = -g. Suppose n - 2*n + g = 0. What is the greatest common factor of n and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -1549?\nAnswer: 11\/1549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14596?\nAnswer: 2, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -14*x. Suppose 4*t + 1 = 3*h + 9, -3*t = -2*h - 5. Let l = 1 + 5. What is the lowest common multiple of l and p(t)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297813 a multiple of 2683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -172? (a) -6 (b) 0.2 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 9 + 12 = j, 3*j + 2*f = 9. Let r(v) = 5*v**3 + 4*v - 1. Let i(m) = -m**3 - m. What is j*i(b) + r(b)?\nAnswer: 2*b**3 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/20 and -173\/162708.\nAnswer: 813540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ololnn. What is prob of picking 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133121 - -1?\nAnswer: 133122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 - 356 = -3*z. Suppose 3*l = z - 14. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -11565?\nAnswer: 11564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 17. Let u be 18*6\/h*3. List the prime factors of (-8)\/u - 97\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 87975654, 175951310, 263926966, 351902622?\n\"Answer: 87975656*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -115\/517?\nAnswer: -115\/517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3229 - -3229. Solve i = 2*z - 5*h + 18, 0 = 6*h - h - 20 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29229, 58372, 87479, 116556, 145609, 174644, 203667?\n\"Answer: v**3 - 24*v**2 + 29208*v + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + o = -3*o - 12, -3*o = 4*l + 9. Suppose l = -5*t + 930 - 140. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149543 (base 10) to base 6.\nAnswer: 3112155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**5\/20 - 11*t**4\/24 + 2*t**3\/3 + 35*t**2. Let j be i(-4). Solve j = -3*b - 2*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10992137*v**3 - 2*v**2 - 15203651 wrt v.\nAnswer: -32976411*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**5\/5 + 5*n**4\/2 + 22*n**3\/3 - 15*n**2 - 2*n + 188. Factor r(y).\nAnswer: 2*(y + 3)*(y + 5)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -7abee13?\nAnswer: -7abee12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -162437.\nAnswer: 6497.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15841705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + h = -63, -5*u + 3*h + 2*h + 105 = 0. Calculate the lowest common multiple of 213 and u.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27696 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-21)*35\/10. Solve -m - f*t - 5 = 0, -6 = -2*m + t - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -556*x - 367430. Let s(h) = -h. Give a(s(m)).\nAnswer: 556*m - 367430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -572 - -585. Let v(u) = 2*u + 0*u + 6*u + 18. List the prime factors of v(x).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 58\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 16*i**2 + 6*i - 1268. Give n(0).\nAnswer: -1268","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 970*x**3 + 3379*x**3.\nAnswer: 4349*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-120))\/(30\/16)*(-200)\/(-48)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - x + 956791 = 0, -829253 - 1562720 = -5*a - 3*x. Round a to the nearest ten thousand.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by -2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 8. Let h be a(-6). Suppose v + 0*v = -5*l + 66, -2*l = 2*v - 20. Is 326\/l + h\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-5)\/(40\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-18)*(-6)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 4*z - 1. Let d be g(3). Is 14 a factor of 19 + (-2 + d)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 1 - 382*v - 380*v + 766*v. Give r(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98216057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 37*w + 240. Determine z(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -2*m**2 + 1\/10*m**3 - 11\/120*m**4 + 0 - 1\/75*m**5 - 13*m. Factor g(s).\nAnswer: -(s + 3)*(4*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + t + 12 = 0. Suppose 5*r + t*p = 1034, 413 = 2*r + 2*p - p. What is the remainder when r is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + -10 - (-4 + -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 - h**4 + h**5 + 2*h**4 + (16*h**3 - 6 + 6)*(0*h - 2*h**2 + 0*h).\nAnswer: -34*h**5 + h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 51 - (18\/(-5) - (-4)\/(-10)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 350 and 12926\/37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805 + 871 + 868 - 2544 - 7*d - 3*d**2.\nAnswer: -3*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + -78. Let o be b\/33 - 3*-1. Let c = 52 - 49. What is the closest to 0.1 in c, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -35. Suppose 12 = u + z, -3*z - 3 = f*u - 48. Solve 2*l + l = -u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.005894397672 + -443936.006404397672. Let y = 443942 + t. Let z = 6 - y. What is z rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 2:49 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*k + 28*k + 2*k**2 + 23*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 4)*((0 + 1 - 2)*(h - h - h) - 3*h + h - 3*h) in the form i + g*h and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4\/(-2) - (-5018)\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2270\/7 - 324. Which is greater: -13\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*i - 18*i + 23*i as y + g*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o. Let u be t(3). Suppose 2*a - 4 + 10 = 0, -a = 3*l - 123. Let i = u + l. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4\/5)*t*(t*t\/t**12*t)\/t)\/(t**35*t**(-30)))**(-3\/11) assuming t is positive.\nAnswer: t**(222\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 708 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 4. Let z be l(-3). Suppose z*v + 13 + 5 = 4*a, -5*a - v + 19 = 0. Let w = -1 - -0.9. What is the second biggest value in w, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 + -75.9. Let d = 16.5 - 1.5. Let p = z + d. Round p to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*y - 78 - 27*y**2 - 37*y - 30*y - 26*y - 25*y.\nAnswer: -27*y**2 + y - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7440 + -7295. Calculate the remainder when 708 is divided by c.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4940 - 4945. Put 5, y, -55 in increasing order.\nAnswer: -55, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 14*w + 11*w - 58*w)*(-6*w + 2*w + 3*w) to s + i*w**2 + q*w and give i.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -3167*c**6\/30 + 157*c**4\/2 + 147*c - 6. Find the third derivative of l(w) wrt w.\nAnswer: -76008*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.9 - -0.1. Let m = 1.7 + -1.94. Let n = -0.16 + m. What is the second smallest value in n, 2\/7, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/6)\/((-1)\/(-6)). Is -5 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61813 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/14076 and -83\/189390.\nAnswer: 444308940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, g: 3}. What is prob of picking 1 y and 1 g?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216411501?\nAnswer: 3, 19, 3796693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*n**4 - 323*n**2*x**3 + 6*n*x**3 + 54*n*x**2 + 2*x**2 wrt n?\nAnswer: 60*n**2 - 646*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 78. Let o = r + -33. Let t be 2 + o + 0 + -2. Solve 2*s + s + t = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = z + 135. What are the prime factors of 2\/(-6) + 13455\/z?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13052, 26344, 39636, 52928, 66220, 79512?\nAnswer: 92804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9373.\nAnswer: 7, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144235 and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**3 + 19*r**2 - 12*r**2 + 0*r**2 - 5*r**2 + 2*r**4 - 2 + 2*r to n + x*r**4 + u*r**3 + t*r + d*r**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from wawhwmmmwh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 - -4 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3 - 2292*b**2 + 4578*b - 2288 = 0.\nAnswer: 1, 1144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-3)\/(-6) - (19 + 300). Let o = -315 - q. Let p = 10.6 - -1.4. What is the third smallest value in o, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + i + 13 = 0, -108*h + 107*h - 3*i + 5 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013526925 to five decimal places.\nAnswer: -0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/55, 0.3, 4, -57, -44 in decreasing order.\nAnswer: 4, 0.3, 4\/55, -44, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocppwvob. What is prob of picking 1 w and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000142752912 rounded to seven decimal places?\nAnswer: -0.0001428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 48. Let g = 39.05 - o. What is g rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a - 13. Let s be d(-2). Suppose -5*w = s*l - 14970, -w + 3*l - 14962 = -6*w. Let t = -35909\/12 + w. What is the common denominator of 59\/6 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 + 1 - 59*o**2 - 80*o**2 + 133*o**2 in the form i + j*o + f*o**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100 and -0.28.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224324 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 1 in ascending order.\nAnswer: -13, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 11*g**2 - g - 4. Let q be v(-11). Suppose 53 = -q*y + 1047. Let a = y + -70. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*r + 41*r**2 + 26*r + (2 - 2*r - 2)*(1295 - 109*r - 1295).\nAnswer: 259*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - h - 1. Let s be r(4). Let z = s + 85\/4. Factor 0 + z*m - m**2.\nAnswer: -m*(4*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16801, 16797, 16793?\n\"Answer: -4*j + 16805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3227446481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4617 is divided by 1051?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 103*n - 23*n**3 + 17*n**3 - 98*n as w*n + r*n**3 + x + s*n**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k - 83. Determine m(4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -272 divided by 4\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*n + 7. Differentiate 4*f**n - 9*f**3 - 9 + 6*f**3 wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 224460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1 - 3*f + 2*f**2 - 5*f - f + 0*f. Let k be i(8). Suppose 6*r - 3*r = 66. What is the greatest common divisor of k and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 4*n. Let x be q(2). Let y = 0 + 2. Let t(z) = 2 - z**y - x + 2. Let b(c) = -2*c**2. Determine t(b(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/11 (b) -0.5 (c) -78\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6 = -0*y, f - 2 = -y. Suppose 0 = -3*p - 5*g + 13 - f, -3*g + 2 = -4*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 20735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -1765*t**3 + 169485*t**2\/4 - 40865*t + 1035\/4 = 0. What is t?\nAnswer: 9\/1412, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-17\/4)*y*y\/(y*y**(-40)\/y*y*y) assuming y is positive.\nAnswer: y**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -7. Let i = 7 + x. Let f(v) = 4*v**2 + 3*v + 2. Let k(p) = -9*p**2 - 7*p - 5. Let g(c) = 7*f(c) + 3*k(c). Calculate g(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(24) - (6*sqrt(120)\/sqrt(5) + sqrt(24) - sqrt(24))))\/(6*sqrt(972)*1).\nAnswer: -25*sqrt(2)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 854340230 to the power of 1\/2, to the nearest integer?\nAnswer: 29229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)*l)**44*(l\/(l*((l\/((l*(l\/(l**(-1\/2)*l)*l)\/l*l*l)\/l))\/l*l)\/l))**41 assuming l is positive.\nAnswer: l**(205\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3085 (base 9) to base 8\nAnswer: 4330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 5?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4*(-2 - 13\/(-4)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -6, 2, -5 in increasing order.\nAnswer: -6, -5, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.656488g to tonnes.\nAnswer: 0.000006656488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129 (base 10) to base 11.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 561 and -0.2968?\nAnswer: -166.5048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7*y = 3*u + 25, 10 = -3*y - 5*u. Let z(c) = c**3 + 4*c**2 - 6*c + 7. Let v be z(-5). Solve 2*f + v = y*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -868, -11, 4, -7.\nAnswer: -868, -11, -7, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7833 = -323*g - 2180 - 1914 - 2608 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 6*z**3 - 2*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6628?\nAnswer: 2, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.65368 + 3.346. Let h = -4.3 + -0.7. Let u = p + h. What is u rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 - -170 - (3 + 4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/3*(1288\/12 + 5). Suppose v = 4*a - 4147. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -145532?\nAnswer: -145521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31560\/539 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00821181258 to 5 dps.\nAnswer: 0.00821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257 - -0.236172783.\nAnswer: 257.236172783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r - 2*r + 2*r)*(3 - 3 - 1) + (-8*r - r + 3*r)*(-1 - 1 - 2) + 1 - 2*r - 1 - 2 + 2 + 2*r to a + p*r and give p.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81c361 (base 13) to base 3.\nAnswer: 12200201200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5140 - 5149. Put -2, -1, 84, j in decreasing order.\nAnswer: 84, -1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**8\/23520 - s**7\/2205 + s**6\/504 - s**5\/210 - s**4\/6 - 3*s. Let n(a) be the third derivative of c(a). Factor n(m).\nAnswer: 2*(m - 2)*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.098, -30, -0.04, -0.7, -309 in descending order.\nAnswer: -0.04, -0.098, -0.7, -30, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -13. Let g = 60408325 + -60408399.0000008. Let x = g - l. What is x rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3703374087.\nAnswer: 3, 7, 79, 45557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7)\/((((b*b**(12\/5)*b)\/b)\/b)\/b*b*b*b) assuming b is positive.\nAnswer: b**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 674. Let f be a\/100 + 1\/(-5)*1. Let m(s) = -6*s - 6. Let h be m(-6). Calculate the greatest common divisor of h and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16030226 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -95518, -95519, -95520, -95521, -95522, -95523?\n\"Answer: -l - 95517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 317611937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 713765 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -172*s - 364. Does 38 divide g(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -19628203?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.85 + -0.695. Let s = f + -3.155. What is the third smallest value in 0.02, s, -0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 261904910222.959929 - 261904050776. Let w = t + -859446. Let u = w + -0.96. What is u rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -201 + 379?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 743 + -741. Solve 4*y - 8 = j*v, 0 = 4*y - 8*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110934304 divided by -27733576.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1507 - 390. List the prime factors of x.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3\/4 + 10140*w**2 + 27418560*w + 24713262080.\nAnswer: 5*(w + 2704)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 73*p**2 - p + 1. Let u be f(1). Suppose -u = 3*l + 59. What is the least common multiple of 4 and (2\/4)\/((-2)\/l)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 232 - (245 - (70 - -47)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 5*h**2 - 2*h - 9. Calculate the lowest common multiple of 5 and g(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*s**4 - 21511062*s**3 - 43022268*s**2 - 28681544*s - 6373680 = 0. Calculate s.\nAnswer: -2\/3, 398355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -2, 10 in decreasing order.\nAnswer: 10, 4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4436993?\nAnswer: 11, 403363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 96, -5 in decreasing order.\nAnswer: 96, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5376 and 843808?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -153\/4. Let c = 26.9 + -23. Let g = c - -0.1. What is the smallest value in -2, j, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -161*l - 1328. Determine t(-9).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*o**2 + 128*o**2 - 281*o**2.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i. Let x(p) be the second derivative of 0*p**2 + 0*p**3 + 5\/12*p**4 + 0 + 13*p. What is l(x(h))?\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {d: 3, r: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.176.\nAnswer: 0.0528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(2*sqrt(2)) + sqrt(11) + (sqrt(1100) - (sqrt(1100) + 0)) + 3)**2.\nAnswer: 9*sqrt(11) + 135\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5233\/8 + 659. What is the common denominator of -53\/18 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15418 is divided by 515?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o, -p = -3*o - 25. Let l = p + -8. Calculate the remainder when 48 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 2:28 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i, -5*d = -3*i - 35. Let v(f) = 2*f**2 - 9*f - 2. Let k be v(d). Suppose g = 3*r - 93, -r - 2*g + 3*g = -k. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57 - -73 - (1 + -2)) + -67?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*l = -2457 + 6231 + 5046 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143616\/6528 + -1*1*14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -225 - -310. Suppose -336 = -89*i + f*i. What is the remainder when i is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -15.4.\nAnswer: -6.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 13*o**4\/24 - 19*o**2. Let c(r) = -760*r + 36. Let g(s) = 21*s - 1. Let p(l) = -2*c(l) - 72*g(l). What is i(p(m))?\nAnswer: 104*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/1373, 3, -3, -49?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*sqrt(13) + -4*(sqrt(13) + 3) + -1.\nAnswer: -13 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-46 - -14) + (-8 - -25) + -7\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(o\/(o\/o**8*o))))\/o)\/o**(-3\/11) assuming o is positive.\nAnswer: o**(58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-232*r - 170*r + 278*r - 1)*(10*r + 5 - 5)*(3 - 7 + 2) as p*r**2 + n + y*r and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 9. Let m be g(7). Let o = m - -3. Which is the closest to o? (a) 0.1 (b) 3\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-26) + 100725\/1207752 and 71\/84.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**18\/g)*g*g\/g**(1\/17))\/(g*g\/(g\/g**(-18\/13)*g)*g*g**(-18\/5)))**(-38) assuming g is positive.\nAnswer: g**(465006\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86852 and 6861308.\nAnswer: 6861308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -6, -5, 39 in ascending order.\nAnswer: -6, -5, 4, 7, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*o - 122 - 113 + 235.\nAnswer: -149*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-8)\/60 + 64\/30. Solve 4\/3*j**3 + 0*j**y - j + 1\/3 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84433 at least as big as 84434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g + 0*g - 19*g + 3*g**2. Let w(q) = -q**2 + 3*q. Let v(s) = 2*n(s) + 7*w(s). What is the second derivative of v(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcaw when four letters picked without replacement from xpccwja?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-3\/5)*l\/l**(1\/2)*(l\/(l**(-1\/5)\/l)*l)\/(l\/(l*l**2)) assuming l is positive.\nAnswer: l**(73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*c + 57*c + 68*c + 81 - 40*c - 49*c.\nAnswer: -2*c + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100011101111100001011 - 1?\nAnswer: -10100011101111100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24112 (base 6) in base 9?\nAnswer: -4718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452160, 904508, 1356856, 1809204, 2261552, 2713900?\nAnswer: 3166248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 2. What is c(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1017232750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 30*a**3 + 6*a**2 - 9*a - 8. What is the remainder when s(6) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/4)\/((-110)\/33096536) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1854 + 9*j - 1854.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**4 - 105*k**5 + 4*k**4 + 330*k**5 - 62*k**2 wrt k.\nAnswer: 13500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 4*f**2 + 21*f + 56. Give x(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 7.98. Sort -3, -5, g.\nAnswer: -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*r + 91994 = -3719*r - 358 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-8)\/(-6)*13\/52?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1976961, -1976978, -1976995, -1977012, -1977029, -1977046?\n\"Answer: -17*q - 1976944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(13) + 0 - sqrt(13) - sqrt(91)\/(sqrt(7)*5))**2.\nAnswer: 8*sqrt(13)\/5 + 413\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 42.9?\nAnswer: -40.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -17*s**4\/2 + 32*s**3\/3 + 24. Find the third derivative of d(u) wrt u.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 16434?\nAnswer: 16431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 21*d + 13. Suppose -2*u + 3*z = -6, -2*z + 6*z - 6 = -2*u. Suppose 0 = u*h - 5*k, 0 = -6*h + 2*h - 5*k + 35. List the prime factors of q(h).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4, x: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 - 0.02. Suppose 4*u - 8 = -4*q, 3*u + q + 0 = 2. Suppose 2*o = -2*f + 8, u = -5*f - 3*o - 10 + 24. Which is bigger: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65096336 and 12712?\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - ((-9)\/3 - 117). Suppose t + j = 4*j + z, -5*j = 0. Let a = 24 + -11. Calculate the greatest common factor of t and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 438*d + 3 + 614*d + 0.\nAnswer: 1052*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-16)\/((-1152)\/(-27)) + (-15814)\/(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15) - 33\/(-5). Suppose 0 = -2*h + s*h + 215. Let g = h - -99. Is g a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -299.612 - 0.388. Let y = o + 298. Which is smaller: -1\/30 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 7. Let n be x(-5). Suppose 2*c + 5 = -n. Suppose 19 - 81 = -132*q + 598. Put c, q, 1\/2, 4 in increasing order.\nAnswer: c, 1\/2, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*h = -0*h - 17, 0 = 5*p - 2*h - 20. Suppose 70 = p*i + 3*i. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**2 - 52*o + 8. Let k(c) be the first derivative of -c**3\/3 - c**2\/2 + 18. Let y(r) = -12*k(r) + w(r). Factor y(h).\nAnswer: 2*(h - 2)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4773, -22495, -53167, -96789?\n\"Answer: -6475*a**2 + 1703*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18316, 73283, 164880, 293095, 457916, 659331, 897328?\n\"Answer: -2*i**3 + 18327*i**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c - 14*c - 51*c + 576 = 4*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 32 - (2 - -18)) + (-6 - (0 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -11*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60 - 1012*y**3 + 2*y**2 - 43*y - 42 + 96*y**4 - 93*y**4 + 99 wrt y.\nAnswer: 72*y - 6072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-7) - 57\/(-133). Suppose -6*n + 3*n = 9. Let f be (1 - n)*-1*-1. Solve h = f*p - 31 + 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.51 * 0.22.\nAnswer: -0.1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**3 + 3*v**3 + 20*v + 825*v**2 - 823*v**2 to s*v + g + m*v**2 + q*v**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5033063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 338 + -160. Suppose b + 144 + o = 5*i, -58 = -i - 3*b. What is the highest common factor of i and 448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(4\/2)*-1. Suppose 0 = -4*j + l*j. Suppose 2*f = -j + 4. What is the remainder when f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -8 + 5. Calculate the highest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 12 = -5*c, 2*c - 6 = 3*y - c. Let z(a) = 2*a**2 + 5 + 3*a**2 - y*a**2 + 8*a**2. Let w(x) = -39*x**2 - 18. Calculate -5*w(p) - 18*z(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -141\/7. Let s = 0.6 + -0.2. Which is the third smallest value? (a) p (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 718.83, -3\/2, -3\/5, -1\/3, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (41990\/13585)\/(2\/(-11))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -13*c. Let j(t) = 7*t. Let b(v) = -6*f(v) - 11*j(v). Let n(s) = 0*s + 0*s - 19*s**2. Determine b(n(z)).\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41981467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 323736 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 7*r**2 - 6*r - 2. Let p be (-2 + 5 + -1)*2. Suppose 3*c = 4*t - 69, 4*t - c - 59 = p. Let k = 21 - t. What is o(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -5605.2, -2\/11, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 - 502.5?\nAnswer: -297.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 85*d**2 - 39*d + 88. Calculate h(3).\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 22 = -7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 667257791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*g - g**2 - 4*g)*(-2*g + 2*g - 2*g) + 6*g**3 - 7*g**3 + 5*g**3 + 25*g**3 - 412*g**2 + 412*g**2)*(-2*g - g + 5*g).\nAnswer: 62*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21 - ((-18 - -24) + 7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.639171 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*j = -128521 - 216915. Suppose 3*m - 77 = 145. Calculate the remainder when j is divided by m.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.5, -0.7, 1, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/9 and 45\/65519.\nAnswer: 589671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + y - 39 = 6*y, 4*u - 5*y - 63 = 0. Let z = -26 + u. Let d = 2 - z. Calculate the smallest common multiple of d and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 + 112. Suppose -5*t + 205 = 3*h, -5*t + 2*h + 202 = -f. Is t at least as big as 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -287 divided by 7?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/(84\/(-2184672)). Let q = m + 9201. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*4)\/(147\/588).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2892, -11533, -25928, -46071, -71956?\n\"Answer: d**3 - 2883*d**2 + d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 5525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(1 + sqrt(272)) + ((sqrt(153) - 4*-3*sqrt(153))\/sqrt(9))**2)*1.\nAnswer: -2877 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 2*b**2 - 4*b + 3. Let d = 0 + 2. Let g(r) = r**3 + r**2 + 3*r - 2. Give d*f(p) + 3*g(p).\nAnswer: -p**3 - p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1\/((-4)\/16)) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -12, 14, -3, 1, -28 in ascending order.\nAnswer: -28, -12, -10, -3, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 f, 1 q, and 1 m when four letters picked without replacement from fkfqmkfkqffkmfgkfq?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(704) + sqrt(704) + 1)**2 + 5.\nAnswer: 32*sqrt(11) + 2823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**8\/6720 + t**7\/840 + t**6\/240 - 4*t**5\/15 - 16*t**2. Let w(k) be the third derivative of b(k). Factor w(s).\nAnswer: 3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 84*(1 - (2 + -2)). Let q(g) = 21*g + 3. Let x be q(2). Let i = n - x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 18*x**3 - 2*x**2 - 5*x. Let t(j) be the first derivative of 55*j**4\/4 - 7*j**3\/3 - 8*j**2 + 4120. Determine 2*t(o) - 7*z(o).\nAnswer: -16*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4\/23 - 99160*k**3\/23 + 55699512*k**2 - 1289094279040*k\/23 + 338007488041472\/23 = 0.\nAnswer: 536, 24254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1609111 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 11:41 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20930 and 113750.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoroohzzho. Give prob of sequence oox.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 3. Let s be z(-5). What are the prime factors of (-3)\/(-4) - (-58)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 bigger than 432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2))\/((-3)\/6). Let i be (-1)\/5*(-9 + 1 + 7). Sort -0.2, i, g in descending order.\nAnswer: i, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 268065 and 21.\nAnswer: 268065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6714 divided by 1119\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 21 + 133 = 0. Let t = -18 - f. Suppose 204 - 96 = 3*v + 99. Solve v*r + 5 = -t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shhhs. Give prob of picking 3 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/3*(-6)\/5. Let q = 1123 - 1121. Suppose -q*p + 5*p - 2*c = -20, -2*p - 8 = -h*c. Which is smaller: -9 or p?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 13*g**7\/30 - g**6\/120 + 43*g**5\/20 + 10*g**2 + 7*g. Find the third derivative of y(m) wrt m.\nAnswer: 2184*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 100903755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227328 is divided by 161?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1358, -2744, -4130, -5516, -6902, -8288?\nAnswer: -9674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 17*z + z + 9*z.\nAnswer: -7*z - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -17, 9, 1.7, 0.3, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + d + 4)*(-3 + 3 + 3) + (25 - 3*d - 25 + 2*d + 2*d - 6*d - d + 3*d - 4*d + (-3 + 3 - 1)*(-d + 0*d + 0*d) + (-3 + 5 + 7)*(-1 + 1 + d))*(3 + 3 + 0).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 169 (c) 0 (d) -324 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 26. What is u(9)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9795 + 6465. Suppose m = 3*c - 2427. Let b = -49759\/8 + c. Find the common denominator of b and -103\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3804 - 3539. What is the smallest common multiple of 848 and w?\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -128. Let l = y + 40. Is ((-636)\/l)\/(2\/38) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412 = -2136*p + 2239*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(7\/4)\/(d\/(d*d\/(d*d\/(d**(-3\/2)*d)*d*d*d)))*(d**(1\/13))**18 assuming d is positive.\nAnswer: d**(-71\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**3 + 2*a**2 - 2*a**2 + 22*a**3.\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 1:21 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 534946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1624054, -3248117, -4872180?\n\"Answer: -1624063*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 21*n**2 + 23*n - 70. Let b be q(20). Let l(f) = f + 8. Determine l(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 16 = -c - c, -4*v = c - 3. Let p(w) = -2*w - 10. What is the lowest common multiple of v and p(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-7 + (7 - -1) - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtwx when four letters picked without replacement from {w: 5, t: 2, x: 2}.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-90))\/(-18*(-5)\/75)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + f**2 + f + 4. Let o(s) = 940*s**3 + 11*s**2 + 3*s + 23. Let b(j) = o(j) - 3*y(j). What is the third derivative of b(g) wrt g?\nAnswer: 5658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) - (-41 + 1940\/48).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05261 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3514*i**3 - 3*i**2 - 10*i + 5. Is c(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 59 - 14. Solve d = 4*p - 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puraipv. Give prob of sequence uuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b = 32 + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**3*w**4 - 2*t**3*w + 22*t**3 - 17*t*w**2 - 4*w**4 wrt w?\nAnswer: 24*t**3*w**2 - 34*t - 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -641021.586 rounded to the nearest 1000?\nAnswer: -641000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 4*h + 2. Let g(z) = 6*z**2 + 12*z + 7. Let u(w) = 2*g(w) - 7*o(w). Suppose u(j) = 0. Calculate j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 6 + n**2 + 2\/3*n**3 - 3*n. What is f(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19538, -19523, -19506, -19487, -19466, -19443?\n\"Answer: s**2 + 12*s - 19551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231243 (base 7) in base 8?\nAnswer: 120511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36931017\/16225 - -25038\/11. Let a = -78193\/8850 + s. What is the common denominator of a and 394\/420 - 30\/(-225)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 - 37. Let x(f) = -4*f**3 + 2*f**2 + 2*f + 1. Suppose -2*u = 2*u - y - 1, -2*u - y - 7 = 0. What is the remainder when r is divided by x(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 5*h - 2. Let j be p(6). Suppose 0 = -0*g - g - j, -3*c + 64204 = -g. What is c rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 571292130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3 + 200\/6. Suppose -7 = -2*y + 5*m, 2*y = 3*y + m. Let o be 7 + y + (0 - -3). What is the greatest common divisor of z and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -799.13 + 793. Let u = -0.13 - d. Let q = -5 + u. Which is the second smallest value? (a) q (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2*u - u)*(2 - 1 - 5) - u + 1 - 1.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 92206235809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353751 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(35)\/sqrt(5) - sqrt(7) - sqrt(7)) + sqrt(637)*-2.\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -7*g + 2*g. Suppose r - 4*r = -g. Let s be (-2)\/(-6) + 124\/6. Calculate the highest common divisor of s and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*r = -f + 39*r + 46, 3*f = -5*r + 110. Let x be 3\/(3*(-2)\/(-4)). Let z(j) = 7*j**3 + j - 1. Calculate the remainder when z(x) is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2746704*w**2. Let q(r) = -7*r**2. Determine t(q(x)).\nAnswer: 134588496*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-3)*(-131)\/(10218\/324).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52914 + -184237. Let l = s + 30623. What is l rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from nccc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 132247, 132251, 132255, 132259?\n\"Answer: 4*u + 132243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 100*r**2 + 5784*r + 137. Give y(-41).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -2*n**5 - 33*n**4\/8 + 35*n**3\/2 + 19*n**2 + 6*n - 277. Let i(f) = 0. Calculate f.\nAnswer: -3, -2\/5, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-8 - -4) - -4 - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614639 is divided by 19757.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 14 - 3*y**3 + 8)*(-1 + 4 - 5) to the form u*y**3 + h + k*y**2 + v*y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -150*c - 9. Let a be b(-2). Find the second derivative of -a*w**3 + 140*w**3 - 115*w + 5*w**3 wrt w.\nAnswer: -876*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - (4 - (-40)\/52). Let a = -0.778 - -0.478. What is the closest to a in 1, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 6*v - 10. Let f be v\/(4 + (-10)\/2). What is the units digit of ((-6)\/f)\/((-12)\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5049*p + 5230*p - 2353 = 0 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 7*p + 13. Let w be o(6). Let v = 889 + -514. Suppose -v = -9*s - 96. Solve 5*x + s = -0*n + 2*n, w = -2*x - n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 37*y + 49178614 - 5*y**3 - 12*y**3 - 49178601. Let g(n) = -8*n**3 + 19*n + 6. What is 13*g(s) - 6*p(s)?\nAnswer: -2*s**3 + 25*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.072 and -552356.\nAnswer: -39769.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74551*a*i**5 + 10*a*i**4 + 249504*a*i + 4*i wrt i.\nAnswer: -1491020*a*i**3 + 120*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 9:33 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*1*-4)\/(sqrt(4)*-1*1).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 62*q**2 + 59*q - 125. Let u be h(-61). Let s = 41 - -33. Is 6 a factor of s*(5 + u + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117147, -236672, -356183, -475674, -595139, -714572, -833967, -953318?\nAnswer: -1072619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, b: 6, v: 3, t: 1, w: 2}. Give prob of picking 1 b and 1 w.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = 9. Let v be (w + -3 + -5)*-2. Solve 3*c + 0*c + 15 = -v*q, -5 = c + 2*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - s. Let o(g) = g**3 + 2*g**2 + 2*g + 1. What is -2*k(w) - o(w)?\nAnswer: -w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6091534 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + (15 - 14 - -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.32 or -43.22592?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 964 - 932. Solve -n - 7*n = -h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/216 and -13\/66.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 549.0731 kilometers to millimeters.\nAnswer: 549073100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*c = 5, 5*h + 2*c + 1753 = 1718 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilometer in meters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 2 (b) -0.07 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 4*w - 12 = -8, 1 = -w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2695*s**3 + 6*s**2 - 2*s**2 - 2700*s**3 + 5401*s**3.\nAnswer: 6*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 600001*t + 7. Let n(h) = h - 2. Let g be n(-5). Let o be f(g). What is o rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -11, 2, 5, -1, 3\/878, 38.\nAnswer: -11, -1, -0.5, 3\/878, 2, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/(-13 + 3 + (-205)\/(-20))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -356 + 805. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + (-2 + sqrt(304) - sqrt(304))*-6*1 + sqrt(304)*-1*4 + 1 + sqrt(304) + 2*sqrt(304))**2.\nAnswer: -80*sqrt(19) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-5))\/(m*m*m*m\/m**(-1\/2))*m**7*m**(1\/4)\/m)\/((m**(-1\/3))**(8\/3))**(-10\/11) assuming m is positive.\nAnswer: m**(2749\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/33 + (4*1)\/(6\/5). Let y(n) be the second derivative of 11\/12*n**c + 0 + 0*n**2 + n - 1\/3*n**3. What is the second derivative of y(d) wrt d?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 768368 plus 0.4?\nAnswer: 768368.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382082 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/73017 and -139\/84.\nAnswer: 292068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 24?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4309519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -12\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937465567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(2\/5)*u))\/u*u*u)\/(((u*u**(2\/15))\/u)\/u)*(u**0)**29 assuming u is positive.\nAnswer: u**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 8*k**4\/3 - 16*k**3\/3 + 3*k**2 + 7. Factor n(c).\nAnswer: 2*c*(4*c - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25088 divided by -256?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20648 (base 11) to base 7\nAnswer: -153432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -10, -28?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -14*x**2 + 0*x + 0*x**4 + 0 + 0*x**3 - 5\/112*x**8 + 0*x**6 + 1\/60*x**5 + 0*x**7. What is the third derivative of f(a) wrt a?\nAnswer: -900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/22 + (7614\/2444)\/(11\/2). Let u = 4 + -6. What is the third biggest value in 5, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 - 11*d + 9. Let c(x) = -5*x**2 + 10*x - 8. Let v(p) = 5*c(p) + 4*o(p). Let n be v(2). Solve -k - k = n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2. Let f(j) = -3*j**2 + 14. Give f(i(h)).\nAnswer: -12*h**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p**3*p))*p**(2\/3)*(p\/(p\/(p\/(p\/(p*p\/(p\/p**(4\/5)))))))\/(p**8\/p))**(-18\/11) assuming p is positive.\nAnswer: p**(-42\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4336 = 6*g - 277*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 8:29 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, -2, -0.5, -147 in ascending order.\nAnswer: -147, -2.3, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 804, 3214, 7230, 12852?\nAnswer: 20080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -417811529*r**3 + 153535805*r**2.\nAnswer: -2506869174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 231083423 to the power of 1\/2, to the nearest integer?\nAnswer: 15201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 129*q**2 + 481*q - 2338. Determine g(-125).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 64264230*h.\nAnswer: 5*h*(h - 12852846)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3007 * 0.8\nAnswer: -2405.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 5*r + 1. Let g be a(-9). Let c be g\/7 - (-8)\/(-28). Suppose -c*j + 16 = -j. Solve 19 - j = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1315 and 520?\nAnswer: 136760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 15*q**3 - 25*q**3 + 13.\nAnswer: -10*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/(-75) + (-1)\/(-3). Let v be 3*1 + 1 + -4. Suppose 2*m + 3 = 3*n - 0, v = -2*m + 2*n. What is the second biggest value in l, -4, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -10*t**3 + 3*t**2 + 3*t - 5. Let k(n) = -11*n**3 + 4*n**2 + 4*n - 6. What is -4*g(d) + 3*k(d)?\nAnswer: 7*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**5 - 3*x**3 + 2*x. Let f(m) = -7*m**3 + 5*m - m + 2*m - 2*m + 9*m**5. Let v(k) = -3*f(k) + 7*l(k). Find the second derivative of v(b) wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 84.\nAnswer: -1, 4, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)\/(z\/((z**(-3\/4)*z)\/z)))\/(z**(-1))**(-1\/23))\/(((z\/z**1)\/z)**(-27)\/(z\/(z**(2\/7)*z))**(-18)) assuming z is positive.\nAnswer: z**(-17807\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(-5*f**3 + 5*f**3 + f**4) + 57*f + 27*f**4 - 57*f.\nAnswer: 29*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 98. What is the units digit of 1992\/a + (-2)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17149 and 17149?\nAnswer: 17149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*k - k = 29, 0 = -2*l + 2*k + 14. Let q = -16 + 22. What is the units digit of (-4)\/l*(-81)\/q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**4\/6 + 7*a**3\/3 - 17*a**2\/2 - 62*a - 1. Find the first derivative of y(n) wrt n.\nAnswer: -4*n + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1113*n + 8900. What is g(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*p**2 + 0*p + 10*p**3 + 0 + 1\/3*p**4.\nAnswer: p**2*(p - 6)*(p + 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 7*x - 4. Suppose v = i + 14 + 2, -3*i + v = 38. Let g = i - -5. List the prime factors of z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.339 - -1.239. Suppose -1 = s - 12. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**2\/4 + 7654*b - 30615\/4 = 0.\nAnswer: 1, 30615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 14.2\nAnswer: -56.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 12, 175?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11886262 is divided by 32476.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 12) in base 13?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.04 + 6. Let r = 0.013 - m. What is r rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 626495.7 years to decades.\nAnswer: 62649.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -144, -203, -268, -339, -416, -499, -588?\n\"Answer: -3*a**2 - 50*a - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 31, 41, 53, 67?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-1) - 27\/9. Suppose 3*d - p*r = -3*r - 52, 0 = r - 2. Let g = d - -97. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 + 6. Let c(v) = -6*v**2 - 7. Give -6*c(x) - 7*g(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2561, -3699, -4837, -5975?\nAnswer: -7113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14840.69 and -75.\nAnswer: -1113051.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 12*c**2 - 11*c - 2. Let g(y) = -y**3 - 2*y**2 + y. Calculate f(r) + 6*g(r).\nAnswer: -5*r**3 - 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -196, -295, -394, -493?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 + 19*b\/4 - 91\/2.\nAnswer: (b - 7)*(b + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2986273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 1918*s = -1915*s + 72, 5*m + 192 = -8*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0 (c) -3 (d) 2.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 150 + -151. Let m = -96 + 98. Suppose 13 - 34 = m*n + v, 3*v = 4*n + 27. Sort 3, r, 4, n.\nAnswer: n, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1030042442 - -2?\nAnswer: -1030042440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -36*x**2 + 8*x. Let f(r) = -64*r**2 + 14*r. Let q(b) = 4*f(b) - 7*m(b). Let t(s) be the third derivative of s**5\/30 + s**2. Calculate q(t(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:48 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/5 + -8 - (-53411 - -6). What is p rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436981 divided by 153?\nAnswer: -436981\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/9 and (-16 - -1) + 11\/(-66)*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 567 and 4767.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*o = -50, 207*a = 208*a + 4*o - 19. Solve a*b + 4 = 29*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1 = f + 2*f, -17 = 5*f - 2*k. Let h(b) = -b**2 - 7*b - 2. Let l be h(f). Let s = l + -2. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639785 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, -133, -3.1, -2\/7?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 941097 + -614803. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -142, -354, -730, -1318, -2166, -3322, -4834?\nAnswer: -6750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11))**(19\/6)\/(l**(-5\/3))**(-1\/61) assuming l is positive.\nAnswer: l**(-4253\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 6*g + 1. Let t be f(4). Let a = 8 + t. What is the greatest common factor of 153 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1817 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 + 4*z + 97*z**4 + 7*z - 98*z**4 - 1 to the form k + h*z + p*z**3 + y*z**2 + n*z**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*z**4 + 8*z**4 - 3*z**4 + (-99*z + 99*z - 5*z**3)*(3*z - 2*z - 5*z) to t*z**4 + s + n*z + d*z**3 + c*z**2 and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235595 is divided by 77988.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + v - n = -2, 3*v - 5*n + 18 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 4, e: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Let h = -58 + 61. Solve 2 = 2*w + 2*j, -g*j = -2*w + h*j + 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, 0, -1\/10, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - v**2 - 5. Let w be d(-3). Find the third derivative of -7*c**2 - 4*c**2 + c**6 + w*c**2 wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (312\/16)\/((-9)\/16)*(-1 + -41). Calculate the highest common factor of o and 637.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-9 - -4 - -13) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: -7854 divided by -5\nAnswer: 7854\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. Let d = 487 + -481. Put d, -1, g, 2 in descending order.\nAnswer: d, 2, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**2 + 3311*k - 3311*k.\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 + 93 + 63)*(2*n - 4*n + 4*n) - 4*n + 4*n + n + (-2 + 1 + 2)*(-2*n + 1 - 1) to the form u + w*n and give w.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3936c (base 15) in base 8?\nAnswer: -545363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 0*f**2 + 2*f**2)*(-6*f + 3*f + f + (-21 + 18 + 16)*(0 + 0 - 2*f)).\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 91?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-128)*4)\/(18\/8).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 81.49249m?\nAnswer: 81492490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/13 <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4 - 27*(-6440)\/(-2160).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2*h\/(h**(1\/5)\/h)*(h*h*h**(-2\/7))**(-35) assuming h is positive.\nAnswer: h**(-281\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*o - 258. Let z be (7*-2)\/(4\/14). Let q = z - o. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**5\/240 + 3*m**2\/2 + m. Let f(c) be the first derivative of u(c). Suppose f(z) = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005316 to seven decimal places.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(4 + sqrt(325)) - sqrt(325)) + -2 + (sqrt(325) + (4 + -2*sqrt(325) - sqrt(325)) - sqrt(325) - -2*sqrt(325)*-1))*6)**2.\nAnswer: 32400*sqrt(13) + 951300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - 2b?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3383\/16 + 529\/16. Let r = f + -237. What is the common denominator of -55\/8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19331603 - 19331603 - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6967 + -4305. Suppose -8*s + 2138 = -i. Suppose 0 = 5*a + 5*m - s, -m = 5*a + 2*m - 604. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34917 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and -1.4.\nAnswer: -19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 420*g - 46 = -425*g, 60 = 5*i + 5*g for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170838192*m**3 - 240425*m**2 + 5*m?\nAnswer: 1025029152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5092804.64 + 107570.64. Let r = 4985216.999912 + a. Let y = r + 17. What is y rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s - 7*s - s)*(3*s - 5*s + 3*s) + s**2 + 0*s**2 - 2*s**2 - s to the form q + r*s + i*s**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -71, -0.5, -2, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**6\/360 + o**4\/12 + o**3\/2 + 3*o. Let i(c) be the second derivative of j(c). Find the first derivative of i(z) wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000045588 rounded to 7 decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3893, 15277, 34265, 60857, 95053, 136853?\n\"Answer: 3802*i**2 - 22*i + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 6*i**2 - 4*i - 1. Suppose -y + q = -7, -4*y + 9 + 1 = 5*q. Give v(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7904749\/90570 + 1\/135855. Let z = t - -349\/4. Is z not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 8*x**4 - 1066550*x**3 - 4799529*x**2\/2 - 14398641*x\/8 - 3599667\/8 = 0.\nAnswer: -3\/4, 133321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -512*h + 1756. Calculate r(4).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 - h + h + 0*h**3 + h**3 - 4*h**3 + (4 - 4 + 1)*(-5*h**3 + 3*h**3 + h**3).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 5*k - 16. Calculate the remainder when 75 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or -8911?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t - 41*t - 3*q = -12*t + 9, 4*q - 2 = 6*t - 14 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 2*z**2 - z + 2. Let m be i(0). Suppose -3*u + m = g, -4*g - g - 12 = 4*u. Solve u*t = -7 - 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 2052?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 1 + 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z + 2*z**2 - 4 - 10*z + 2 + (-z + 0*z + 0*z)*(-2*z - 2 + 2) + 3*z**2 + 4*z**2 - 5*z**2 + 2*z - 2*z - z**2 in the form p + a*z + t*z**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.4, 2\/21, 145 in decreasing order.\nAnswer: 145, 0.4, 2\/21, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(216) - (sqrt(216) + -1*sqrt(216) + sqrt(216)))\/sqrt(12))\/(-2*sqrt(24)\/sqrt(4)) + -4 + sqrt(36)\/(1*sqrt(192))).\nAnswer: -12 + 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172 divided by 3711?\nAnswer: 1172\/3711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2854950 a multiple of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**5\/20 - u**3\/6 - u**2\/2 + 3*u + 1. Let t(i) be the first derivative of h(i). What is the units digit of t(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 11:07 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izi when three letters picked without replacement from zzsuzzizzizuczzzzczz.\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 8*w**2 - 9*w + 5. Let b be v(-9). What is the second derivative of -994 + 994 + b*p + 12*p**2 wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71804*o**2 - 287*o + 58 wrt o?\nAnswer: 143608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 17. Is 2\/6 - 1658\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3139 (b) 1 (c) -7\/81 (d) 1.81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2866a - -23a?\nAnswer: -28430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2\/7 + 220*a\/7 - 86528 = 0?\nAnswer: -896, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvr when three letters picked without replacement from vkpvkrpppppvv?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 123133046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/5, -0.3, 0, 0.1, 1 in ascending order.\nAnswer: -0.3, 0, 0.1, 1, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 9:12 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -87834, -178926, -273274, -370878, -471738, -575854, -683226?\n\"Answer: -1628*t**2 - 86208*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 150*u + 23*u**2 - 150*u + (0*u + 4*u - u)*(-2 + 2 + u) + 0*u**2 - 3*u**2 + u**2.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/((-1*sqrt(72))\/sqrt(9)) + 3 + ((sqrt(152) + sqrt(152) + (sqrt(152) - (sqrt(152) + (-3*sqrt(152) - sqrt(152)))))\/sqrt(8) - sqrt(19))**2.\nAnswer: -sqrt(19) + 478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*c + 142*c + 2914200 = 0. Round c to the nearest ten thousand.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/((-2)\/8)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -1861?\nAnswer: -1116.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 11*i**3 + 7*i**2 - 58*i - 60. Let m(r) = 75*r**3 + 50*r**2 - 405*r - 420. Let a = -253 + 250. Let p(t) = a*m(t) + 20*l(t). Factor p(x).\nAnswer: -5*(x - 3)*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 7*k**2 - 7*k + 8. Let b be p(6). Suppose -42*u + 33*u = -27. Let f = -3 + 5. Solve -2*j + b*l + f = 0, u*l + 3 = -0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -7*k + 1251. List the prime factors of (k\/(-12))\/(26\/(-8) - -3).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) + (-13)\/2. Let n = b + 14. Calculate the smallest common multiple of ((-1)\/4)\/((-4)\/(81 + -1)) and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -50. Let y = j - -28. What is the highest common divisor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -516 - -925. List the prime factors of s.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 21 (c) 1\/4 (d) 204\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 5:21 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 7*s**2 - 10*s + 67. Calculate d(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925611 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 4*n - 2*o + 1, 5*o = 3*n - 28 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109029699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, -88, -122, -156, -190, -224?\n\"Answer: -34*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 8. Let q be x(5). Let w = 8 - q. Let l be (-141)\/(-15) - 2\/w. What is the highest common divisor of l and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -879 and -7?\nAnswer: 6153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4020.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58274*u + 58272*u - 9*u**2 + u**3 + 6 + 3*u**2)*(-2 + 1 + 2 + 5 - 2 - 1 + (-1 - 1 + 0)*(-1 + 1 - 1)).\nAnswer: 5*u**3 - 30*u**2 - 10*u + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -165869*q*u**4 - 131574*q wrt u?\nAnswer: -663476*q*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 416 by -416.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + (3 + -4)*-2)\/1. Suppose z + 2*z - t - 822 = s, 5*z + 3*t = 1356. Let b = z - 3547\/13. Sort b, 0, 2\/7, -4 in ascending order.\nAnswer: -4, 0, b, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/25 of a millisecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-11) + 8805\/48730. Let i = x + -1753\/16834. Let w = i - 9\/95. Which is the nearest to -1\/2? (a) -1\/4 (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*y**2 - 71*y**2 - 2198*y + 148*y**2 to the form n*y + q*y**2 + j and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16536 * 41\nAnswer: 677976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16699 (base 11) to base 14\nAnswer: -879b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-112)\/(-20) - 4\/(-10). Suppose -7*c = -p*c - 21. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21 - -16) + 17\/1)\/(-2). Let w be (v - -1*(2 - 0))\/(-4). Which is the closest to w? (a) -3 (b) -2\/7 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 - -90. Which is the nearest to 0.1? (a) p (b) -2\/15 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*u. Suppose 4*m + 0*s - 74 = 2*s, -5*m = -2*s - 91. Let c = m - 12. Solve -c*q + q - 16 = u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 603, 599, 595, 591?\n\"Answer: -4*y + 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m + 3*g - 7, 0 = -4*m - 2*g. Let r be 2\/m + -1 - (-26)\/6. Which is the nearest to 1\/3? (a) 2\/5 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvcvvvcvcvvvv. Give prob of sequence vc.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*m - 531*m - 657*m - 514*m.\nAnswer: -1346*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - -0.09. Let f = 1.04 + -0.04. Let y = -3 - f. What is the second smallest value in r, y, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8232464 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -172 - -52. Let f = -87 - a. Calculate the highest common divisor of f and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0957 to 3 decimal places.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 194, 283, 358, 413?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 698 = 700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 264353504 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8)\/((n**(-1\/20)*n)\/n))**(-48) assuming n is positive.\nAnswer: n**(1908\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26855864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) - (-28)\/6. Let o = 16 + -13. Let p(l) = o*l + 0 - 4*l + 2. What is p(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6\/m**10)\/(m**(3\/7))**(-34) assuming m is positive.\nAnswer: m**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 > -184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 76?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 76*i + 213. Let m be (-10)\/9*252\/(-8). Let x be a(m). Factor -35\/3*u + 40\/3*u**2 - 5*u**x + 10\/3.\nAnswer: -5*(u - 1)**2*(3*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6998*o**3 - 1177*o.\nAnswer: -41988*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/19)*b)\/((b**(-3\/8)\/b)\/b))\/(b*b**(-1\/4))**(-1\/31)*((b**(2\/9)\/b)**(-1\/21))**(-17\/5) assuming b is positive.\nAnswer: b**(2149151\/636120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**21\/a*a**(-3\/2)*a assuming a is positive.\nAnswer: a**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m - 25*m - 40 = -0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z - 232. Let j = z + 400. Let o = 591\/4 - j. What is the common denominator of o and -17\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -466 (base 13) to base 6\nAnswer: -3304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 + 5*y - 39. Let s be h(13). Round s to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 6. Let k(p) = 20*p**2 + 301*p. Let w be k(-15). Let y be -2 - (12\/w + (-46)\/30). What is the closest to y in 0.05, a, -0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*h**3 + 5*h - 5*h + 100 - 584 + 15*h**3 to the form w*h**3 + y + p*h**2 + n*h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*i - 1, -b - 5 = i + 3*i. Let m = b - -2. Solve -4*x - m = 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*v - 6. Suppose v*f = -2*f + 65. Let h(x) = -x + 16. Calculate the remainder when h(f) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.128 or 311358.3?\nAnswer: 311358.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 3747b8?\nAnswer: -3747b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8\/3))**(-1\/42) assuming h is positive.\nAnswer: h**(4\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/4, 4, 0.6, -12882?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = 27*r - 136 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26582 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010001111110100 (base 2) in base 14?\nAnswer: -11420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10550208 to the power of 1\/2, to the nearest integer?\nAnswer: 3248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2224740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 31*t**5\/5 + 106*t**3\/3 + 21. Find the third derivative of s(z) wrt z.\nAnswer: 744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from syss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, o: 7, n: 3}. What is prob of sequence ocon?\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1018, -7, 0, -589 in ascending order.\nAnswer: -589, -7, 0, 1018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*m - 148, -2*v + 5*m + 0*m = -64. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15412, -15488, -15564, -15640, -15716, -15792?\n\"Answer: -76*r - 15336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 227*q**4 + 3*q**3*t + 51*t with respect to q.\nAnswer: 908*q**3 + 9*q**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 701, 1574, 2795, 4364, 6281?\nAnswer: 8546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25.3 in -5, -2\/7, 3.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*u - 566*u + 119*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-91)*378\/108?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*v = 36*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a hour in minutes?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(162) + sqrt(162)*2)**2 - sqrt(162)) + -1.\nAnswer: -9*sqrt(2) + 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-9) + 2)\/(8\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z - 13. Let t be a(9). Let d(p) = 2*p - t*p + 0 - 2 - 2. Calculate d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a meter in millimeters?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -30*v**2 - 34*v**2 + 117*v**2 - 3 - 27*v**2 - 11*v - 27*v**2. Give h(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*a - 3798 - 1479 - 1203 = -223*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjjj when four letters picked without replacement from rjrjrjjrjjj.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 67399686*a**2 - 378559806074883*a.\nAnswer: -3*a*(a + 11233281)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 15*f + 330 = 0. Calculate the remainder when f is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-7 + 19 + 26)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4425 = 5*b, -6*f + 2*f + 3545 = 3*b. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*g + m, 0 = 3*g - m - 15 + 5. Let p be (-1)\/(-6 - (-10 + g)). Solve -i - 1 = p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v + 6. Suppose 5*b = 7*b - 12. Let z(j) = 3 + 2 + b*j + j. Calculate 6*r(u) - 7*z(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 184 - 204 = 0. Suppose 0 = y - 0*y - 2*g - 20, -y + 30 = -4*g. Suppose -y*d + u*d + 80 = 0. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z. Suppose 66 = 2*i - 4*b, 2*b = -3*i - 2*b + 59. Let c = 21 - i. Let l be -5*(34\/10 + c). Determine w(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0.6. Let p = -3.2 + z. Let l = -5.6 - p. Round l to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-1))\/w)**(-16\/7)*w**4\/w*w*w*w**(3\/13)\/w*w*w)**(-1\/11))**(-47) assuming w is positive.\nAnswer: w**(16873\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/868 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + 13*u + 92 - 31 - 28 + 5*u**3 - 28 as b*u**3 + w*u + m + p*u**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8396 + 14*p - 8401 - 67*p. Let s = -18 - -10. Is d(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11082\/4 + (-13 - (-500)\/40) and 18?\nAnswer: 24930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9505 and 4160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 5, -5*m + 563 = 4*q - 512. Suppose 0 = -5*z + 2*p - 7*p + q, 258 = 5*z + p. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 689 divide 307895790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 21\/74363204 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - z - 6 + 3*z - 4 to the form n + v*z and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 133. Suppose 17*n - u = -7*n. Solve 16*x + n = 15*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/744 and 43\/104780.\nAnswer: 628680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjvh. What is prob of picking 2 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64.8 + -2.98.\nAnswer: 61.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 v, and 1 s when four letters picked without replacement from {s: 2, v: 2, o: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/(-266)*8\/10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 1. Let a(j) = 3045*j - 1827. Determine a(x) + 1827*k(x).\nAnswer: 1218*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 13*l - 60)*(-l**2 + 0*l**2 + 0*l**2)*(-4*l**2 - l**2 - 2*l**2).\nAnswer: -91*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 + 107*g**2 + 539*g + 411. What is y(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/((o*o\/o**(1\/3))\/o)))\/(o*o**(-7)\/o*o)*(o\/o**(-7))\/o**2*((o*o**(-1))\/((o*o**(-2\/5))\/o))\/(o**(-1)\/o)**(19\/2) assuming o is positive.\nAnswer: o**(496\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 8, 6*x + 5*j - 11 = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 + -76 - (0 + 22) - -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 409, 1380, 3271, 6388, 11037, 17524, 26155?\nAnswer: 37236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -96*t + 299*t - 59*t - 37*t. Let n(m) = -3*m**2. Calculate s(n(d)).\nAnswer: -321*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -148*p**3 - 2*p - 2. What is the tens digit of j(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 325 = 2*o. Calculate the highest common factor of o and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 + (-492)\/(-60))\/((-2)\/10). Let v be 2\/m*(7 + -7). Let j(q) = -q**2 - 22. Determine j(v).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5448 and 415637.\nAnswer: 9975288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39025999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5961*b**3*v**2*z**3 + b**3*v**2 + 38*b**3*v*z**3 + 4*b*v**2 - 14705*b*z**2 wrt z?\nAnswer: -35766*b**3*v**2 + 228*b**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11223*x**5 - 2*x**2 + 10724*x + 2 wrt x?\nAnswer: 673380*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -14*a**2 + 97*a + 178. What is s(-2)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 928631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -16. Let k(z) = 2*z**3 + 4*z**2 + 5*z + 1. Let c(y) = 3*y**3 + 5*y**2 + 6*y + 1. Let v(w) = l*c(w) - 4*k(w). Determine v(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-294)\/(-28) + 2\/6)\/12 and -85\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8806 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11122431 - -422?\nAnswer: -11122005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 12. Let q = 1077\/2 - 493. Calculate the common denominator of q and 8\/t*(-182)\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3298)\/(-679))\/34)\/(1\/175)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -5717*o + 5729*o. Solve -8*w = -o*w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 302.24 and 590514.\nAnswer: 590816.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 1\/11 (c) -0.5 (d) -0.4 (e) 0.7 (f) -0.0334\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 11}. Give prob of sequence bq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -63.35 * -1357\nAnswer: 85965.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*g**3 + 29*g**3 + 11*g**3 - 41*g**3 + 137*g**3.\nAnswer: 274*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -129902557.71.\nAnswer: -129902558.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(56\/49 - 1). Let c(b) = 4*b + 2. Let a be c(2). Let f = m + a. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 410 - 278. Let i = -67 + r. What are the prime factors of i?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/14*(-72)\/63*595\/85. Let o = -8 + 6.8. Is o at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i**3 + i + 1. Let n be p(-1). Let g be (-99)\/(-6)*4\/n. Solve 3*o + 2*a = -g, -o + 0 + 1 = -4*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 527407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4374300 + -22?\nAnswer: -4374322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 610\/2 + (-2 - -7 - 2). Suppose 5*d - d - i = o, -4*i = -d + 77. Suppose -143 = -5*c + d. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*m + 15 = -0*d, -4*m = -3*d + 20. Let s = -39\/1646 - 3273465\/18106. Let q = -181 - s. Is d less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 3 - 4 - 2 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**5 + 2*b**4 - 2*b**4)*(-7 - 13 + 6 - 33).\nAnswer: -47*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**4\/6 - g**3\/3 + 79*g**2. Let z(v) be the third derivative of -v**4\/24 - v**3\/6 + v**2. Calculate -t(i) + 5*z(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 9*b + 6. Let x be j(-5). Let n = -5 - x. Suppose -103*a + 26 = -102*a. Calculate the remainder when a is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n = 22*n - 36. Let g = 2.1 + -2.5. Sort g, n, 5\/8, -1.\nAnswer: n, -1, g, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 445 and 190.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 1\/53, 1.1, -1\/7, 4, -3 in decreasing order.\nAnswer: 4, 1.1, 0.6, 1\/53, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c - 12 = 3*v - 12*c, 12 = -v - 3*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/((-8)\/(-12)). Suppose -s - y = -15. What is the remainder when s\/(0\/(-3) - -2) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(3 + -2 + 0). Suppose 0*q = -q + i*u + 29, 20 = -4*u. Is q\/7 - 790\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a litre in millilitres?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + y + 19 = 0, 0*y + y + 4 = 0. Suppose -5 = -3*t + 25. Calculate the highest common divisor of t and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 3*v + 2. Suppose j = 5*k - 280, k + 2*j - 78 = -33. What is the least common multiple of k and g(0)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24138 is divided by 354?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249574701?\nAnswer: 1249574701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*j - 0*j - 135, 3*j - 3*r - 135 = 0. Suppose 5*a - 23 = 57. Let s = a + 0. Calculate the remainder when j is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 650, 2471, 5394, 9329, 14186?\n\"Answer: -15*h**3 + 641*h**2 + 3*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 36 = 2*i. Let q be ((-69)\/i)\/((-4)\/(-12)). Let k be q\/4 + (-4)\/16. Round k to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 g, and 2 j when four letters picked without replacement from {n: 2, j: 2, f: 1, d: 2, g: 1, l: 4}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 89*r + 114. Let g(m) = -268*m - 340. Let p(j) = -67*j - 85. Let w(q) = -4*g(q) + 18*p(q). Let y(l) = 5*w(l) + 8*x(l). Differentiate y(o) wrt o.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 5*v - 2*h - 189, v + 4*h - 5 = 0. What is the remainder when 59 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) 0.1 (c) -5 (d) -2\/7 (e) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1011, -3, 4 in decreasing order.\nAnswer: 5, 4, 2, -3, -1011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c69 + 27?\nAnswer: -1c42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmmmmmkkmkkm. Give prob of picking 4 m.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -41*z + 4. Let d be x(5). Let h(f) = -36*f + 70. Let s be h(10). Let y = d - s. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -5.9, -0.12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 3*g**2 - g**2 + (5*g + 0*g - 2*g)*(-42 + 42 + 12*g).\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = b - 5*p, 7*p = -b + 3*p + 15. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*v = -71*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + -5) - -9\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4756 - -9257. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 10*o + 20. What is y(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 16684438*p**2 + 10*p + 88. Let v be x(-3). Round v to the nearest 1000000.\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00821084 rounded to five dps?\nAnswer: 0.00821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18201?\nAnswer: 3, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/3)\/(6\/(-9)))\/(828\/690)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2293*n**2 + 1914257 - 1914257.\nAnswer: 2293*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 900000 and 210000?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - f**2 + 6*f - 1 + 2 = 0. Calculate f.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13345913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1391513*u**4 + 1443299 wrt u?\nAnswer: -5566052*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 26, 4, -5, -4 in descending order.\nAnswer: 26, 14, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*x = 8 - 51, 0 = 5*t - 3*x - 117. What is the highest common factor of t and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 26*u**2 - 629*u + 3386. Give m(5).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 112554*l - 19584402. What is u(174)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/7 - -1)\/(3\/609). What is the highest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 10*p**2 + 11*p + 12. Let d(o) = -o**2 - 5*o - 7. Let t be d(-5). Calculate the remainder when f(t) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (189\/36)\/(30\/(-8)*9\/180)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/30 - 23*w**4\/24 + 16*w**3\/3 + 24*w**2. List the prime factors of a(15).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -109 + -724a?\nAnswer: -7356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 624.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8498*h - 8498*h - 32*h**3)*(2 - 4 + 1) to the form i*h**3 + p + f*h + n*h**2 and give i.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97024 and 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1287)\/231 - (1 - (-1 + 7)). What is the third smallest value in 0.1, o, 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 + 0 - 34440\/490. Let n = v - -65. Put 1, 5, -4, n in ascending order.\nAnswer: n, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -894 = -428*x - 38. Let -3\/2*w**3 - w**x - 1\/2*w**4 + 0 + 0*w = 0. What is w?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5994)\/(-3564) - 2\/33*3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6308733 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.7, 8, -0.02, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5 - 11. Let x be -6 - (0\/1)\/1. Let i be 1\/3 + (-118)\/x. Solve -4*l - p = i, 5*l = -p - 8 - t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1268*p**3 + 1278*p**3 + 2*p - 3331 - 3816*p**3 + 1268*p**3 as b*p**3 + s*p + a + r*p**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**8\/112 + 23*b**7\/70 + 11*b**6\/20 + 83*b**2. Suppose d(t) = 0. Calculate t.\nAnswer: -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 8:03 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -816*j + 2. Let h(c) = 935*c. Give h(d(s)).\nAnswer: -762960*s + 1870","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - x**2 + x. Let y(r) = -224*r**3 + 137*r**2 - 7*r. Let l(f) = 21*k(f) + 3*y(f). Find the third derivative of l(z) wrt z.\nAnswer: -3906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 23764 - 5420 = 0. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*x - 1734, 3*q - 1032 = x + 3*x. Suppose -5*v + 3*w - 2*w + q = 0, -3*v - 2*w = -201. Let j = -58 + v. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179 + -124. Let h = -38 + x. Let l(z) = -z**3 + 4*z**2 + 2*z + 1. Calculate the remainder when h is divided by l(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -226, 4, 1\/2, 3\/4?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) 0.11 (c) 5 (d) 6 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10629228 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28097*f*m - 54168*f + 2*m wrt m?\nAnswer: -28097*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**5 + 79*m**6 + 10*m**4 - 7*m**6 - 10*m**4 + m**2 - 285 wrt m.\nAnswer: 8640*m**3 - 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**6\/30 + 2*g**5\/3 + 37*g**4\/24 + 3*g**3\/2 + 23*g**2 - 6. Factor r(v).\nAnswer: (v + 9)*(2*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywwjwwynlnnl. What is prob of sequence llj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 17. What is the smallest common multiple of 2 and h(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 13, -22938, -3, -2 in decreasing order.\nAnswer: 13, 2, -2, -3, -22938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.1, -0.1, 1035365?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 28248*w**2 - 528*w. Let t(h) = -974*h**2 + 18*h. Determine 3*s(b) + 88*t(b).\nAnswer: -968*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + -3 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 58 + 22. What is the highest common factor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121370.\nAnswer: 2, 5, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -133*d. Let x(j) = -132*j + 1. Let g(w) = 4*p(w) - 3*x(w). Let r be g(2). Let q = -79 - r. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -11*y**3 + 8*y**2 + 48*y + 176. What is the tens digit of t(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 - 2) - (-2 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 174642554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -511 (base 6) to base 12.\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 77, 104, 165, 272, 437, 672?\n\"Answer: 2*s**3 + 5*s**2 - 2*s + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h - 3 = 0. Let u be (13 + -14 - 1) + (-3 - -1). Which is the second biggest value? (a) h (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v**5 + 280*v**4 - 414*v**3 - 1723*v**2\/2 - 335*v - 75\/2 = 0.\nAnswer: -3\/4, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 621, 4, -0.018, -3 in descending order.\nAnswer: 621, 4, -0.018, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120*-0.07.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*f + 2. Suppose f*u = -4 + 14. Solve -u*h = -0*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 63*g**2.\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i**4 - 1221*i**3 + 14874*i**2 + 2000004*i + 797544 = 0.\nAnswer: -66, -53, -2\/5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75727540 and 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*f = -44, -76 = -4*w - 0*w + 5*f. Suppose w*u - 222 = 11*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -533623 + -3303910\nAnswer: -3837533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from moommvoommv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -0.3858, -0.1, 46, 1, 0.4?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 451350522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 227 - -58. What is the highest common factor of s and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 747 and 0.2.\nAnswer: 149.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 5. Let l(z) = -z**2 - 19*z - 91. Let v be l(-8). Which is the second biggest value? (a) h (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -22*b + 108. Let d be z(6). Let p be -4 + (-1 - 2 - d). Suppose -5*q + 6*q + 8 = -4*i, -4*q - 12 = -4*i. Sort 1, i, p in decreasing order.\nAnswer: p, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01828146 to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14632979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2eb - 1ac69c?\nAnswer: -1ac3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*f)*(-2*f + 4*f - 4*f) + (-5 + 5 - f)*(-f - 2*f + 0*f)*(0 + 0 + 2).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(1 + 2)\/3. Let m = 2 - j. Suppose m*z + 4*i - 28 = -0*z, 5*z = i + 59. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/3663, -7, -2, 2?\nAnswer: -2\/3663","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/105*-2*18\/120.\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 17*m - 59. Let y(l) = 9*l - 30. Let i(x) = 3*c(x) - 5*y(x). Let w be i(5). Solve -w*n + 0 = 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144761?\nAnswer: 19, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 531727.2 centuries?\nAnswer: 5317272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 7. Let y be (48\/30)\/(1\/5). Let x = 11 - y. Solve x*d - o = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -77*v. Suppose 0 = -3*y + 7*y + 16. Let f be j(y). Let r = -173 + f. What is the greatest common divisor of 54 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 + r - 1. Let h(y) = -5*y**2 - 2*y + 1. Let a(n) = -5*h(n) - 4*i(n). Let q be a(-6). List the prime factors of (0 - q)\/(2\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -41. Let u be (228\/y*-3)\/(6\/15). Suppose -u = -5*a + 4*r, -r + 13 = a - 34. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -54 - 21) + 2 - -14?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37)\/(-3) + 1)\/(-2 - (-1920)\/900) - 9?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**3\/3 + 3*b**2 - 8*b - 8985. What is q(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-678)\/(-5085))\/(((-4)\/(-10))\/(-2)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22 + (0\/(-2))\/1. Suppose 3*m + 0*m + 34 = 5*b, -5*b + z = m. Suppose -9 = -4*n - 25. Put 3, n, b in ascending order.\nAnswer: n, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0.5, 2\/7, -98 in descending order.\nAnswer: 10, 0.5, 2\/7, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2236 and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2787494*q**2. Let d(a) = -4*a**2. Give d(g(s)).\nAnswer: -31080491200144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67404)\/(-1230) + (-4773)\/86?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 4*k - 7. Let c be t(5). Let f = c - -6. Let u(x) = -x**3 - 7*x**2 - 8*x - 9. Give u(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 11:49 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 11.029?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(325) + -5.\nAnswer: -20*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 4 - 136*p + 70*p - 30 + 68*p - 40.\nAnswer: 2*p - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 15. Find the third derivative of 10*i**2 - 5*i**j - 18 - 11*i**3 + 18 wrt i.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1378158 by 3.\nAnswer: -459386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2. Let z be i(-2). Suppose 6*w = z*w + 118. Is w 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 288691900 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-147)*-4)\/((-29)\/1421*70)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - o = -16, 122677*o - 122678*o + 22 = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*s**4 + 77153*s**3 + 936452*s.\nAnswer: -144*s**2 + 462918*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-413)\/(-42) + -10)\/((-129)\/36).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 141 (b) 259 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*d**4\/11 + 866*d**3\/11 + 1372*d**2\/11 + 664*d\/11 - 16\/11 = 0.\nAnswer: -2, -1, 2\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(1520\/280)*3*(-3)\/3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 7538798\nAnswer: 1\/3769399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 7*m**2 - m - 15. Let r be n(5). Suppose -18*c = -r*c + 864. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/40 + 277*h**5\/30 - 365*h**4\/6 + 364*h**3\/3 - 9114*h**2. Factor t(l).\nAnswer: -(l - 182)*(l - 2)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 8*u + 19. Let q be d(7). Suppose 9*z - 5*z = q. Solve 18 = -4*b - 2*w, -z*b - b - 23 = -3*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(1008) - (sqrt(22)\/(sqrt(2) + (sqrt(8) - sqrt(2))) + (sqrt(99)*-2)**2).\nAnswer: -396 - 5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/20)\/(577676\/23104 - 25)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 30*d**2 - 327*d + 82. Calculate g(10).\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18.7552896 and 39.29.\nAnswer: 58.0452896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 - 108. Suppose -20 = 3*r - 4*c, 6*r - 11*r + 5*c - 25 = t. Suppose r = -y - 3*b, 2*y + 3*b = -2 + 8. What is the greatest common factor of y and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, b: 10}. What is prob of picking 1 x and 1 b?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 157243769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + (sqrt(128) - (-3 + sqrt(128) + sqrt(128) + 0 - sqrt(128))) + -2 + -1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16d4d (base 16) to base 4.\nAnswer: 112311031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 91*x**5\/20 + 49*x**4\/12 - 47*x - 85. Let f(n) be the first derivative of h(n). Find the third derivative of f(z) wrt z.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5092, 10118, 15010, 19702, 24128, 28222?\n\"Answer: -11*d**3 - d**2 + 5106*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*d + 778, 4*d = 3*z - 0*z + 621. Is 39 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19652412*q**3*w - 4*q**3 + 20*q**2*w - 183*q*w + 2019*q wrt q.\nAnswer: 117914472*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/5))**(-9\/10)\/(f**(-4\/3)*f)**(-19))**(9\/7) assuming f is positive.\nAnswer: f**(-1668\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0138 to one decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1749, -13956, -47099, -111648, -218073?\n\"Answer: -1745*f**3 + 2*f**2 + 2*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.350384 meters?\nAnswer: 9350.384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 39 + -23 - 22\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 129 = 399. Suppose 5*j = 4*p + 36, -p = 3*j + 2*p - l. Calculate the remainder when 159 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.5, -2\/5, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 w when four letters picked without replacement from lnwlwf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.2. Let k = 16036.5 + -16036. What is the third smallest value in 3\/5, i, k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - sqrt(1872)*-2*-1 - (0 + sqrt(1872) + 2 - sqrt(1872) - sqrt(1872) - sqrt(1872)))**2.\nAnswer: -48*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44673 or 44672?\nAnswer: 44672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 - -92. Suppose k - 17 = -5*i. Solve -5*v + 2*g - 15 = -0*v, -v + 14 = i*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249062 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 0, 0.069, 2\/7, -1.5, 111?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-707)\/1010*105)\/(3\/2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 + 3 = 2*v, 3*t - 6 = -4*v. Let d(o) = o + 5. What is the smallest common multiple of t and d(6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1460, 1, 3, -3 in descending order.\nAnswer: 5, 3, 1, 0, -3, -1460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -624? (a) 1\/6 (b) 0.1 (c) -2656 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let u(v) = v**2 - v + 3. Let t(o) = -153*o**2 - 51*o + 153. Let k(i) = 4*t(i) - 204*u(i). Calculate k(l(a)).\nAnswer: -816*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4\/5)\/r)\/(r*((r*r*r**(-1\/2)*r)\/r)\/r))**33\/(r*r**(-6)*r*r\/((r*(r\/(r\/((r**(2\/19)*r)\/r)*r*r*r))\/r)\/r*r)*r)**49 assuming r is positive.\nAnswer: r**(-29021\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178881643.\nAnswer: 37, 4834639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, 9, 27, 53, 87, 129?\n\"Answer: 4*m**2 - 2*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49779, -49784, -49789, -49794, -49799?\n\"Answer: -5*k - 49774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(2\/5)\/n*n*n)))\/n**(-2\/13)*(n\/n**(1\/3))**(7\/12) assuming n is positive.\nAnswer: n**(2273\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1776481 and 654493.\nAnswer: 12435367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/38)\/5)\/2.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -103, 4, 1, 2 in descending order.\nAnswer: 4, 2, 1, -3, -4, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3731 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 - (120 - (44 - -100))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*-1168591\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 100*m**2 - 54*m**2 - 50*m**2 + 19. Let l(a) = 2*a**2. What is z(l(x))?\nAnswer: -16*x**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 7*l + 10. Suppose 16*r = -4*b + 14*r + 38, 4*r - 36 = -3*b. Let z be d(b). What is the biggest value in 0, z, 0.3, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 804001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8 = -7. Suppose -c = -y*c. Let d = 12 + -9. Solve c = 4*r - 23 + d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -159 - 345. Let f = -68 + l. Suppose f*c - 2702 = -10*c. What are the prime factors of c?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3 - 2757*s**2 - 35694*s - 60368 = 0.\nAnswer: -2744, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1240, 10834, 36798, 87316, 170572, 294750, 468034?\n\"Answer: 1364*f**3 + f**2 + 43*f - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*k**2 - 6 + 6)*(k**3 + 2*k**3 + 4*k**3) + 3*k**5 - 2*k**5 + 2*k**5)*(-2 + 3 - 2).\nAnswer: -45*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + -6 - ((8 - 4) + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 55*z**2 - 2*z + 4. Let s be y(-4). Suppose -5*g = -g - 4*t - s, 253 = g + 5*t. Suppose -68 + g = 5*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*7066.\nAnswer: -14132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 17862*b**2 - 89348*b + 107232.\nAnswer: 2*(b - 3)*(b - 2)*(b + 8936)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 729?\nAnswer: 7290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1477.4, -2\/5, 15?\nAnswer: -1477.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 120 = 5*y, -5*v + 0*v - 120 = -5*y. Let c = -203 + 227. Let k = y - c. Solve -3*i = -k*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3690 bigger than 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(sqrt(9)\/sqrt(3))*-6)\/(sqrt(576) - (sqrt(576) - (sqrt(576) - -3*-2*sqrt(576)) - sqrt(576))).\nAnswer: 3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.239.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*p**3 - 18 + 18 + 2*p**3 + 15*p**3 - 9*p**3 + 26*p**3 + (2 - 2 - 2*p)*(p**2 + 4*p - 4*p) to r + o*p + w*p**3 + h*p**2 and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -15. Let y be (-15 - v)*(-2)\/4. Solve y*m - 5 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4272249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Let s be j(-3). Let t = -1.04 - -0.04. Which is the closest to -0.1? (a) t (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -237, -468, -925, -1686?\nAnswer: -2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (4 - 2) + 0. Let r(k) = -k**2 - 2*k. Give r(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4306431, 4306411, 4306381, 4306335, 4306267, 4306171, 4306041?\nAnswer: 4305871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.977 - -1.023. Which is the closest to 1? (a) -5 (b) 1 (c) -1\/2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -114057065.\nAnswer: 22811413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from kkkhkkukkukh.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 39 = -1101. Let y = 69 - v. Let w = 3.09 - 0.09. Which is the fourth biggest value? (a) w (b) 4 (c) -3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 29 = 5*g, 1317*f - 1314*f + 11*g = -67 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187*v**3 - 2*v**2 - 7 wrt v.\nAnswer: -1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 - 98. Suppose -2*r - 4 = m, 0 = -h - 2*h - r + 94. Suppose b = 5*b - h. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32426 + -20433. Is b a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -48, -72, -100, -132?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g - 68. Let q be y(-17). Let z be 3 - 7\/4 - (2 - q). What is the biggest value in -7\/3, 3, 4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64619 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l**3 + 3*l**2 + 3*l. Let t(z) = z**3 - z**2 - z. What is -o(s) - 3*t(s)?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21671537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*v + 70, 90 = 4*g + 2*v - 3*v. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 3, y: 1, c: 2}. Give prob of picking 1 y, 1 h, and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -h - 5*q, -5*h - q + 1 + 30 = 0. Let c(s) = -3*s + 6. Let i(u) = -u + 2. Calculate h*c(g) - 17*i(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -8*d + 205. What is the remainder when d is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/4 - 2)\/((-6)\/24). Differentiate -1 - 11*r**3 + 13 + 2 + r**h wrt r.\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 6. Let v(l) = -l**2 + 6*l - 5. Let k be 3 - 3\/((-9)\/6). Let y be v(k). Calculate the smallest common multiple of z(y) and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 15) to base 3\nAnswer: 101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49594 = -6*q + 47138. Let p = q - 6037. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 12*z**3 - 9*z**2 + 3. Let y be -8*(-4)\/(-56) - 11\/(-7). Let c(x) = -x**3 + x**2. Determine y*g(d) + 9*c(d).\nAnswer: 3*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/6 - 37044*z - 2058386904 = 0.\nAnswer: -111132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 622523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6 = -2*f + 5*o, 0 = 4*f + 5*o - 27. Suppose 0 = f*m + g + 193, 303 = -5*m - 0*g + 3*g. Let x = m - -185\/3. Put -3, -4, x in increasing order.\nAnswer: -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-25)\/2)\/(6\/(-3886752)). Let q = 14097400 - x. Round q to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1 = 148. Let s be -3*6\/(-45) - 39\/(-15). Suppose c - 7 = -s, -2*c = -4*m + 20. What is the highest common divisor of v and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-2 - 1 - -4). Suppose -2*z - u = -4*z. Solve -z*x - 5 = -1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(0*c - c + 0*c) - 7 + c + 2*c + 8 in the form o + p*c and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/26, 0.045, 0, -0.2?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13608 + 23928. Is 24 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6212*u**3 + 18*u + 799188 with respect to u.\nAnswer: 18636*u**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10*(-140)\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/5, 6, -1\/3, -0.55, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 0, 1, 4, -4, -172 in descending order.\nAnswer: 30, 4, 1, 0, -4, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18563 + 32747. Suppose 5*k = -2*q + 6*q - r, -4*q + 2*k = -14196. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 - 554414?\nAnswer: -5543a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2. Let w(a) be the second derivative of -6*a + 0*a**2 - 1\/2*a**3 + 0. What is o(w(v))?\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4655891 - 0.46789. Round k to 4 decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -35022*j**2. Let k(s) = -3*s. Give t(k(i)).\nAnswer: -315198*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 - (73 + -82)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -21 - (-182 + 40 + (1 - -10))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 14) to base 9\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/6)\/r*r*(r\/(r\/(r\/r**(-4)))*r)\/r)\/((r\/r**(-1\/3))\/r)**(-2\/87) assuming r is positive.\nAnswer: r**(2527\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15768 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 - 2*z**3 + 3*z**3 + (-2*z**3 + 4*z**3 - 3*z**3)*(136 + 67 - 44) to the form r*z**2 + i*z**3 + h*z + f and give i.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -i + 21, -5*i + 3 = -3*j - 0*j. Let u(d) = d + 8. Let l be u(j). What is the second derivative of 2*p**2 + p**l + 2*p + p wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/(-93))\/(((-1)\/(-1))\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzmwwmmm. Give prob of sequence wp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1 = 7. Solve 0*w = z*w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by -12.\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8636 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.09 (c) 5 (d) 0 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21195.07 and -65.\nAnswer: 1377679.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0. Let x = -16612 + 16619. Which is the closest to 0? (a) l (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25362 is divided by 379?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 26 - a**2 - 44 + 21 + 3*a. Calculate t(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 408 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2436 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 2, 14405 in descending order.\nAnswer: 14405, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(105\/10 + -4). Let y = 18.2 + -18. Which is the nearest to -0.2? (a) y (b) s (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/2, 1.3, 4\/77625?\nAnswer: 4\/77625","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -43) + 2 + 3 - (21003 - 21022)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/7 (b) 1 (c) -25 (d) 20 (e) 133\/18 (f) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4129, -4142, -4153, -4162, -4169, -4174?\n\"Answer: z**2 - 16*z - 4114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -31*o + 21*o. Suppose -5*n + 25 = 0, -y = 4*y + n - 15. What is the remainder when 17 is divided by o - y\/((-4)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368201 = 5*z + 2*u, 5*z + 240*u = 241*u + 368207. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1461 - -1446. What is the closest to 1.3 in -2\/7, -4, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39 - (-2 - -5 - 3). Suppose -126 - w = -3*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 335039232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 229 + 95 = 0. Suppose n + 2 = w. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 27*j + 21. Calculate z(-3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/11 (b) 2\/15 (c) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13400 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 30 = 6*k. What is the lowest common multiple of k\/4 + 2\/(16\/358) and 3?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.898 + -0.102. Which is the smallest value? (a) 7 (b) 2\/3 (c) o (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5872 - -29d?\nAnswer: 5b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s**2 - 1985595*s + 54300611 wrt s?\nAnswer: -4*s - 1985595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578975469.\nAnswer: 1031, 1531499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -3 - (-2 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -1\/2*g**2 - 27 + 0*g. Let p(l) = -10*l**2 - 3*l + 3*l. Give d(p(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 758 and 2.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((1\/1)\/1). What is the derivative of -3*h**2 + 1 + h**2 + i*h**2 wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 4 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -7*f + 63, -5*s + 3*f + 4127 - 4223 = 0 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.093 + 1.093. Which is the closest to q? (a) 0.2 (b) 0.1 (c) -2 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -3*k - 320000. Round k to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1478971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -5. Suppose -3*u = -4*q + 2*q + 50, -5*q = l*u - 102. Suppose 3*t - q = -2*i + 79, 2*i - 95 = -5*t. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1313 - -1112311?\nAnswer: 1110332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 11:25 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -292558 less than -292544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41587 by 13.\nAnswer: -3199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-4) + 18\/8. Find the third derivative of -49*u**l + 51*u**3 - 8*u**2 - 2*u**2 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o + 1. Let f be y(-13). Suppose -f*m + 46794 = -34*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -4*l. Find the second derivative of 4*u**4 - u**l + 2*u - u**4 + 0*u**4 wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 10 = 32 - 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-8)\/10)*328\/2050\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -246.14 - -251. Let k = -1.86 + j. Which is the nearest to k? (a) 4 (b) -2\/13 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d + 12 = 4*b, 3*d = -3. Suppose b*g + 1 = 13. Calculate the remainder when g is divided by (1 + 0)*4\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 - 125.997. Let v = p + -0.133. Is -1 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*a - 69, 139 - 35 = 5*a - 2*r. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1273357\nAnswer: 4\/1273357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 - 1.08. Let n = 0.3 + -0.3. Let s = 5 - n. What is the third biggest value in u, 0.1, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 28043790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 3*u + 5*y, -253*y - 37 = 5*u - 250*y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 264*a**2 + 260*a**2 + 269*a**2 - 791*a**2. Let q(w) = 85*w**2. What is q(s(m))?\nAnswer: 340*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**9\/3024 - m**6\/120 - m**3\/3 - 3. Let a(c) be the third derivative of t(c). What is the third derivative of a(g) wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*k + 612, -48*f + 823 = -44*f + 5*k. Solve -198*j = -f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -7)*(-2)\/(-6). Let y be (-18)\/(-4) - 1\/l. Suppose 5*i + y*f = 2546, -5*i + f - 2*f = -2549. Round i to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**6\/5 - 3*f**5\/10 + f**4\/6 + 11*f**3\/27 + 2*f**2\/9 - 10*f. Determine h, given that z(h) = 0.\nAnswer: -1, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 - 219*y - 82. Let f(i) = i - 22. Calculate -4*f(q) + s(q).\nAnswer: 4*q**2 - 223*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a hour in seconds?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6264 and 22.\nAnswer: 68904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77571 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7006798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i + 2. Is 25 a factor of g(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12970637.\nAnswer: 41, 47, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -46?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 9*h + 4*h**3 + 6*h.\nAnswer: 4*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 10*d + 13. Let g(t) = t**2 - 5*t + 7. Let i(b) = -5*g(b) + 3*m(b). Let k be i(6). Let w = 1 + k. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -458, -1807, -4078, -7289, -11458, -16603?\n\"Answer: -3*o**3 - 443*o**2 + o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**4\/24 + 7*h**3\/3 + 15*h**2. Does 4 divide f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**7\/420 + p**5\/40 + p**4\/4 - p**2. Let t(l) be the second derivative of y(l). Find the first derivative of t(m) wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 153*w - 1032.\nAnswer: -3*(w - 43)*(w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**4 + 3268*a**3 + 5*a + 2033659 with respect to a.\nAnswer: 8*a**3 + 9804*a**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*y + 154*y + 8 = 0. Calculate the remainder when (-7 + -1)\/y*(-11 + 1) is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-406)\/(-28) - 15)*0. Solve m = 2*l - u - 6, -5*l - 3*u + 54 = 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -3, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219681841 to the nearest integer?\nAnswer: 14822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 25950496.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4 - 6*s + 5*s - 2*s + 3. Let a be b(-12). Suppose -3*f + a = -4*o, -2*f + 21 = -4*o - 9. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -1. Suppose -4*c = -5*n - c + 47, 5*c - r = -4*n. Let o(m) = m**2 + 6*m + 8. Calculate the smallest common multiple of o(-6) and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by 17\nAnswer: -162\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 0*b + 2*b + (-1 - 2 + 8)*(-4 + 3*b + 4) + 84 - 84 + 9*b.\nAnswer: 25*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 119302496 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1934, -3869, -5804, -7739, -9674, -11609?\n\"Answer: -1935*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times 3235?\nAnswer: -3558.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 2*n + 1. Let g be f(-2). Suppose 0 = 12*w - g*w - 30. Let y(i) = -i + 10. Let l be y(w). Solve 0 = 2*r - 4 - l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -13*c + 25. Determine a so that 14\/3*a**c - 4\/3*a**4 + 0*a - 14\/3*a**3 + 0 + 4\/3*a**2 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/80 + (-509)\/4. Let q be k\/(-3 + 1) + 8\/(-4). Let y = 72 - q. Calculate the remainder when 13 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(5) + sqrt(500) + 2 - -4*(sqrt(405) + 1*sqrt(405))**2).\nAnswer: 11*sqrt(5) + 6481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 97*q**6\/30 + q**5\/6 - q**4\/8 - 225*q**2. What is the third derivative of f(u) wrt u?\nAnswer: 2328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6971 - 4*n + 2*n**3 - 6*n + 25*n**2 - 6980 - 8*n**2. Determine h(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2719 + 6105. List the prime factors of h.\nAnswer: 2, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2) + (-3)\/15*-25. Sort z, 4, 0, 7 in decreasing order.\nAnswer: 7, z, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -3*i + 6*i + 18, 5*o + i = -17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124857649?\nAnswer: 7, 67, 266221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 11*p**5\/60 - 13*p**4\/24 + 17*p**3\/6 + p**2. Suppose -27*t + 9 = -26*t. Is o(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20556 + 5?\nAnswer: 20564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/459 and -97\/72.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**7\/15 + 2*o**5\/15 - 3*o**2 - 3*o. Let s(b) be the first derivative of m(b). Find the third derivative of s(a) wrt a.\nAnswer: -336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -3\/2, -1, 29\/2, -63\/10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -116517 * -1\nAnswer: 116517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -283 (base 9) in base 12?\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 8:58 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 44 = 2*t + 4, -3*u = 5*t + 120. Let c = t + 32. Suppose 5*i - 6*i = -c. What is the lowest common multiple of 4 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/12918295 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1483, -1059, 79, 2285, 5913?\n\"Answer: 59*d**3 + 3*d**2 + 2*d - 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 89615, 89385, 89001, 88463?\n\"Answer: -77*r**2 + r + 89691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from {o: 2, b: 2, m: 5, n: 2, s: 2, a: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3683\/16 + -230. Suppose 51 = -5*i - 4*f, 9*f - 10*f + 15 = 29*i. What is the third biggest value in i, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -14 - -5 - (-2 - 0). Let v(s) = s**3 + 7*s**2 + 2*s + 17. Let y be v(i). What is the derivative of -5 - 5 + 10*c + y*c - 2*c wrt c?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 8*u**2 + 13*u + 15. Let o be k(5). Solve -8 = -9*f + o*f + 4*m, 2*f - 22 = -4*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/25 + -3)*-55 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*v**3 - v - 165 + v + 166 + 4*v**2.\nAnswer: -114*v**3 + 4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 0 + 12. Suppose -b*y = -y - 25. Suppose -y*w + 3*i - 6*i = -22, -2*i + 4 = -2*w. Solve -p - w = -0*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = 17*i - 185. Let k(g) = 6 + 2*g**2 - g**2 - 13*g + 7*g. What is k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j - 4*j)*(j**2 + 2*j**4 - j**2) + 2*j**5 + j**5 - j**5 + 2*j**3.\nAnswer: -2*j**5 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -915 + 298. Let v = z - -621. Solve -2*s = v*l + 12, -2*s = -s - l - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14707789.\nAnswer: 14707789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 2. Let f be t(5). Calculate the remainder when 16 is divided by (-105)\/f - (-3)\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z - 2 - 8*z + 0 + 2*z**3 + z**2 + 5 + z**4 to j*z**3 + h*z + s*z**4 + b*z**2 + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -187.3556\nAnswer: -187.6556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u. Suppose -d + 0*d + 17 = u. Let v(c) = c**2 - 113*c + 6. Let w be v(0). Let o(f) = 20*f + 20. Let s(i) = -7*i - 7. What is d*s(m) + w*o(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - p - 27 = 4*p, 9 = -3*p. Suppose -12 = -n*h - h. Suppose -10 = -h*a + 2*i, 2*i = 3*i + 5. Solve a = w - 1 - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3054, -2825, -2156, -825, 1390, 4711, 9360?\n\"Answer: 37*v**3 - 2*v**2 - 24*v - 3065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ncccnccccncnnccc?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7114 - 117886 = -1629*n for n.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*u**4 - 2*u**3 + 20*u**2.\nAnswer: -1008*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*u**5 + 8971*u**3 - 43*u**2 + 64*u - 3 wrt u?\nAnswer: 1440*u**2 + 53826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 4*h + 13 - 10, h + 3*o + 17 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 321816298 by 74374.\nAnswer: 4327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1216) + sqrt(1216) + -2*sqrt(1216) + sqrt(1216)) + 1 + sqrt(1216) + 5)*-3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/12)\/((-5)\/30). What is the second smallest value in -2, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 18852\nAnswer: -37704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -286 + 284. Which is the fourth smallest value? (a) -2\/9 (b) 0.5 (c) -3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 w, and 1 k when four letters picked without replacement from {h: 11, k: 2, w: 2}?\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2505?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 128*g**2 - 836*g + 968.\nAnswer: -4*(g - 1)*(g + 11)*(g + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*154\/(-7). Suppose 0 = g + m + 2*m + a, 2*g - m - 13 = 0. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 374856.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z - q - 35, 0 = -3*z - 5*q + 9. Let a be 0 - 218\/z - 11\/(-44). Let g be -1*(4 + 1 + a). What is the greatest common factor of 132 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 121 = -3*o - 114, 5 = o + 2*r. Let w be 2 - (1 + -1 + o)\/1. Put 2, w, -4, -2 in decreasing order.\nAnswer: 2, w, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 + 62*l**2 - 53*l + 401. Determine b(-32).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/54578 and -53\/340.\nAnswer: 9278260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -4*a**3\/3 + a - 8. Let g(n) = n**2 + 2*n + 1. Let v be g(-2). Give x(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4108356 >= -4108356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916700 is divided by 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -1557*b + 1562*b - 84, -12*b - 3*d + 252 = 0 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 20*w + 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(168)\/sqrt(6)*-3 + -4.\nAnswer: -6*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 0*u + 1\/12*u**4 - 4*u**2 + 0*u**3 + 0. Give a(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*t + 113, -5 = -3*g + 2*g + 5*t. Suppose 24*j - g*j = -1. Solve -2*i - 1 - j = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.1 - 70.1. Let o = -62 - l. Sort -1\/4, -8, o in ascending order.\nAnswer: -8, -1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 17*m - 24*m + 22 = -43*m + 2, -5*v = 6*m - 59 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 744448917 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*t = 7*t. Sort t, 2\/9, 2.\nAnswer: t, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28.1 - 31. Let y = p - -13.9. Let h = y - 10.9. Which is the nearest to h? (a) -4 (b) -1\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 190*s**2 - 121*s - 1857. List the prime factors of m(-17).\nAnswer: 2, 3, 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = n - 4*n + 1, 0 = c + 5*n - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k - 12. Let r be d(6). Calculate the greatest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 607*w**2 + 2*w - 2*w**3 - w.\nAnswer: -w**3 + 607*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u**2 + 115*u + 29. Give x(19).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 193881577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 4*a - 2. Let k be f(5). Let x(r) = -4*r - r + 3 - k*r + 3*r**2. What is the remainder when x(6) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -367 - -370. Solve -2*x - w*x = 5*s - 15, -4*s - 2*x + 8 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6041.61 months?\nAnswer: 503.4675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*v + 13, -2*w + 5*v + 5 = -21. What is the remainder when 48 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 11 - (-11 - -15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 976810937 to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**4\/2 + 7*k**3\/3 - 5*k**2\/2 - 5*k - 18. Let z(f) = -2*f**3 - 8*f**2 + 6*f + 6. Calculate -6*r(x) - 5*z(x).\nAnswer: -2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3305 or 3497?\nAnswer: 3305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14334*b - 316144 + 788044 = -3609*b for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3130 = 5*j, 108 = j - 4*a - 502. What is the least common multiple of 270 and j?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1408316 and 6731?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -82314.\nAnswer: 246942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11*s**2 + s + 4*s**3 + s**3 - 4*s**3 + 14. Let u = 25 + -36. Let l be q(u). Sort l, 0, 5 in decreasing order.\nAnswer: 5, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -415152\/7 - 3\/7*t**2 - 2232\/7*t.\nAnswer: -3*(t + 372)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -258038601 * 6.\nAnswer: -1548231606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**(-1\/2))))\/(w**(2\/3)*w))\/((w\/w**(-1\/4))\/w)**(-4\/9) assuming w is positive.\nAnswer: w**(-19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 + 49. Suppose 176 = -b*m - 0. Let z = -29 - m. Calculate the smallest common multiple of 3 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 152723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (28 + -6 - 15) - 27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*x - 223120452 = -732*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15606)\/(-540) - 21 - 1*(-8)\/(-1)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrxxwxhrxu. Give prob of sequence xux.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*n + 8 = 4*k, -4*k - 24 = 4*n. Let u(q) = q + 2. Let l(h) be the third derivative of 5*h**4\/24 + 11*h**3\/6 - 3*h**2. What is k*l(s) + 11*u(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 34. Is 1\/23 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2662 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g)**(3\/25)*g**0*g*g**(-1\/4) assuming g is positive.\nAnswer: g**(99\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let u(i) = 3 - i - 16*i - 3. Give u(v(y)).\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15464 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 11:10 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -67 + 34 + 2*u + 33. Let k(a) be the first derivative of 7*a**2\/2 - 7. Calculate k(f(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162690 and 7395.\nAnswer: 162690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 22*i - 540. Give b(-33).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.072 + -7.428. Which is greater: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-23946)\/4*((-34)\/21 + 8\/28)?\nAnswer: 2, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 935 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48, 100, 152, 204, 256?\n\"Answer: 52*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 448379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 - 10*n - 12. Let o(d) = -8*d**2 + 30*d + 35. Let i(y) = -11*l(y) - 4*o(y). Let m be i(-9). Solve 5*s - 9 = m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6. Suppose u - 4 + s = 0. Suppose -3*a - 3*f = -2823, -4*a + f + 3763 = u*f. What is a rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, -0.31 in descending order.\nAnswer: 0, -0.31, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5301532?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4819966 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 24.56. Let c = -0.43999916 - n. What is c rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0233 * 4\nAnswer: 0.0932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b**2 - 7*b**2 + 4*b**2 - 1)*(3 + 0 - 1 + 3 + 4 - 5 + 2 - 1 + 1 + (2 - 2 - 1)*(-4 + 2 + 4) - 2 + 3 - 3).\nAnswer: -22*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-1\/6)\/x*x))\/(x\/(x\/x**(-1\/4))))\/((x\/(x*x*x\/(x**2\/x))*x*x)\/x**6))\/((x\/(x\/(x**0\/x))*x*x**0)\/((x\/x**1)\/x*x\/x**(-5))) assuming x is positive.\nAnswer: x**(125\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 3. Let n = 3 - 3.4. What is the third smallest value in m, n, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/908858 and -21\/8?\nAnswer: 3635432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15462 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 370 = 5*n, 9*y = -11*n + 2*y + 2*y + 669 + 145 for n.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10546322 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/4 + 5\/(-10). Let q(b) = -2*b - 16. Let u be q(l). Solve -6 = -u*r - 5*h + 4*h, 0 = 2*r - 4*h - 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.108928 and 37.775.\nAnswer: 37.883928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2417*h**2 + 36*h - 7*h**5 - 2417*h**2 wrt h.\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4 = -4*b - 89, 5 = -b. Which is greater: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1019*k**2. Let l(x) = -12*x**2 - 156*x + 239*x - 83*x. Calculate l(c(f)).\nAnswer: -12460332*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -1\/570*p**5 + p - 148*p**2 - 1\/228*p**4 + 0 + 2\/19*p**3. Factor x(v).\nAnswer: -2*(v - 2)*(v + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*r - 4*w - 23 = -79*r, -3*r - 6*w = -2*w + 31 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(3\/5)*x*(x\/(x\/((x\/(((x\/x**(2\/15))\/x*x)\/x))\/x*x*x*x)))\/x*x*(x\/x**(-4))**(-26\/3))**(-3\/14) assuming x is positive.\nAnswer: x**(282\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 420551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**2 - 7*w**2 - 5*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*f + 344 - 506, -6*p - 2*f = -12*p + 200 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20759 is divided by 59?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*v - 4*v = -27, -4*o - 3*v - v - 33 = -7*v for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -13. Let o be (-21 - -24)*(h - (-442)\/(-438)). Do -1 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2, -2\/3, 5, 0.14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -3*k + 5*g, -28 = -0*k - 2*k + 4*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196 - 590\/3. Let b = -88\/39 + 12\/13. Let h = 0.34 + 0.06. What is the closest to o in h, 0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(24) + sqrt(24)*-2)\/sqrt(8))**2 - (sqrt(3) + 1 + sqrt(3) + 3)).\nAnswer: -5 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 2*v = x + 953, 2*x = -6. Let n = v - 124. What is the highest common divisor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c. Let u(p) = -5*p**3 + 7*p - 15. Give -6*g(d) + u(d).\nAnswer: -5*d**3 + d - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - 3)\/12)\/((-2)\/(-24))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 5037.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 10:43 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0.5. Let m = -1.2 + q. Sort 0.1, m, -5.\nAnswer: -5, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -16*z - 62. Let d be u(-5). What is the common denominator of d\/75*(-260)\/16 and 59\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**3 - 5*k**2 - 3*k + 3. Let n(r) = r**2 + r - 1. Let a(u) = 3*n(u) + s(u). What is the third derivative of a(t) wrt t?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 521 + -773. Is (-1)\/(u\/251 - (5 - 6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 + 108. Let t = 43 - s. Which is the second smallest value? (a) 2 (b) t (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - 10*f - 22. Let d(n) = -478*n - 15298. Let l be d(-32). Calculate a(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 4:44 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-65508)\/(-12) + -3 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1453 + -847. List the prime factors of p.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 3 + (-19 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57694*x**5 - 89*x**2 + 14*x wrt x.\nAnswer: 3461640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 1 - (-6)\/3. Suppose x*q + 4*q = 20. Suppose q + 8 = l. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 16) to base 2\nAnswer: 1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 35. Calculate the least common multiple of -5 - 8\/(-2) - -17 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.084? (a) 17 (b) -0.1 (c) 3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165103, 164938, 164773?\nAnswer: 164608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 8144 = -2*c, -c = -4*c - l + 12242. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -2 + 4)\/4. Let z = 1.341 - 1.28. Let f = z - -6.939. Is f smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from {w: 6, p: 5, t: 4, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -97, -333, -787, -1531, -2637, -4177, -6223?\nAnswer: -8847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:57 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*r**2*v**2 + 237793*r**2*v + 2*r*v**2 + r*v + 37212*r + 3*v**2 - v wrt r?\nAnswer: 54*v**2 + 475586*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/((-3)\/(-3)))\/(21756\/(-29008))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -285907*n. Let w(d) = 2*d. Calculate r(w(x)).\nAnswer: -571814*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w + 75*w**2 - 1425*w**2 + 14*w.\nAnswer: -1350*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 14 = -28. Suppose 0*m - 2*g = -5*m, -4*m = 3*g - 23. Suppose s + m = t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 2ac462?\nAnswer: 2ac465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4500*p**2 - 112*p - 593. Is s(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 0.2 (c) 4 (d) -0.1 (e) -11365\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2. Suppose -5*g + 3 + 12 = 0. Let r(u) be the second derivative of 0 + 0*u**2 + 3*u + 1\/6*u**g. What is y(r(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9361665211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21221705 is divided by 196.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9 - -5. Which is smaller: -0.7 or v?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 - 13*f + 62. Let s(w) = 2*w**2 - 57. Let u(m) = p(m) + 2*s(m). Calculate u(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 0) + -2 + 4. Suppose -k*b + 104 = y - 94, -2*y = 4. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56259 is divided by 1373.\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.9699 - -0.0301. Which is the third biggest value? (a) p (b) -4 (c) 0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 16, 6 in descending order.\nAnswer: 16, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -2430?\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 0*g**4 - g**2 + 1\/30*g**5 + 0*g + 0 - 1\/40*g**6 + 0*g**3. What is the third derivative of n(s) wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -498*x**2 - 11*x - 46. Let g(i) = -1495*i**2 - 31*i - 130. Determine 6*g(t) - 17*u(t).\nAnswer: -504*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3046 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + h - 33, -4*j + 15*h - 39 = 12*h. Which is smaller: -14 or j?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1447718*n*z**2 + 25257*z**2 + z - 1 with respect to n.\nAnswer: 1447718*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 10:38 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d (base 16) in base 7?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/20 and -65\/36124.\nAnswer: 180620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2346462.\nAnswer: 2\/1173231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - 3*r + 5*r + (0*r + 2*r - 4*r)*(1 + 3 - 5))*(3*r - 2*r - 6*r) as w*r + y + d*r**2 and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 366.1 (b) -0.5 (c) 0.5 (d) 0.012 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - -2.2. Let f be (-3)\/((16 + -2)\/(-2)). Let v = 701\/870 - 1\/174. What is the closest to 0 in n, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - r)*(17*r**4 - 29*r**4 - 13*r**4).\nAnswer: 25*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**3 - 2*z**2 - 6*z + 22. Let w(p) = -p**3 - 2*p**2 - 2*p + 1. Let q(x) = -c(x) + 5*w(x). Let a be q(-9). Sort a, -1, -3.\nAnswer: -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 10*q - 267 = -1203. Let i be (-8)\/(-10)*(-370)\/(-4). Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 277357261.\nAnswer: 2\/277357261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3066*m + 1450231. What is j(473)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 136606*r\/3 - 1684351.\nAnswer: -(r + 37)*(r + 136569)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 24*n = 23*n - 51*n - 44, 13*j - 14*j - 5*n = 61 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, d: 4, g: 4}. What is prob of picking 1 p and 1 d?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-12))\/((-3)\/(-10)). What is the greatest common divisor of z and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = 2*a, 4*a - 14 - 2 = 4*u. Let f = -2 - -4. Solve a*o = 18 - f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1\/3)\/(-1*5\/155)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1842\/(-30))\/((-2)\/2). Let g = -61 + c. Let d = -5.5 + 5. What is the second smallest value in d, -5, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let a = 1669 - 1669. Let k(n) be the third derivative of 0*n**3 + a*n + 0 - 1\/15*n**5 + 0*n**4 - 4*n**2. What is k(b(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/11331 and 17\/548.\nAnswer: 6209388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00731 to 4 dps.\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((196\/175)\/14)\/((-4)\/(-10))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -1\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 14 + 19 = -4*b, 0 = -h - b - 5. Let w(k) = -k - 4. Determine w(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p + 11 + 5*p + 25*p**2 - 18*p + 11*p + 8. List the prime factors of z(-7).\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5887*x - 113084 = 287232 for x.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l + 5 = 4*l - 169. Sort -80, 2, l in decreasing order.\nAnswer: l, 2, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)*(1 - 0). Let v(o) = o**3 - 23*o**2 + 2*o - 48. Let p be v(23). What are the prime factors of (135 - p)\/(0 + g)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.52 - 27.18. Let t = c + 31. Put t, -3, 1\/3 in decreasing order.\nAnswer: 1\/3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -169, -205, -241, -277?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 3, y: 1, g: 4, k: 5}. Give prob of picking 1 q and 1 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2. Let b be 2 - (8\/4 - 2). Let y(u) = -u**2 + 4*u**2 - 9*u**b. What is y(s(o))?\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**3 - 2*h**2 - 2*h - 3. Let l(t) = -25*t**3 + 5*t**2 + 5*t + 8. Let p(j) = -3*l(j) - 8*u(j). Give p(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1 - 1) + 3)*8. Let w be (-1)\/4 + 34\/k. Let z = 23 - 21. What is the second biggest value in w, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396 and 2304?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 57*p**2 + 135*p - 102. Let v be y(26). Solve 124 = -v*j - 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c - 4*c - 3*c)*(-5 + 3 + 8) in the form i*c + h and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**4*u + 11602*l*u - 120*u + 182 with respect to l.\nAnswer: 4*l**3*u + 11602*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1920) + sqrt(150)\/(sqrt(35)\/sqrt(7)))\/(sqrt(42)\/sqrt(63) - sqrt(18)\/(sqrt(15)\/sqrt(5))))**2.\nAnswer: 10125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12097 + 10901.6. Round z to the nearest ten.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + (1*-1*sqrt(720) + sqrt(720))*1 + 0)**2 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 6:31 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:50 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42480060 and 11760?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 - -1) + 6 + 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -30. Let m = t + -26.8. Let g = -6.2 + m. What is the second biggest value in g, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2 + 1)*(-24)\/64?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6457705, -6457705, -6457715, -6457741, -6457789, -6457865, -6457975?\nAnswer: -6458125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 7*m + m)*(229*m - 229*m + 23*m**3 + (-m + m + 2*m)*(-10*m**2 + 9*m**2 + 14*m**2)) as p + n*m + o*m**4 + g*m**2 + l*m**3 and give o.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 438\/1022 - (-109)\/7. What is the greatest common divisor of q and 11824?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = -280. Suppose -4*i + f + 12 = -46, 4*f = -2*i + 20. What is the highest common divisor of i and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j + 3*m = 7, -3*j + 10 = -4*m. Suppose -k - j*k = 0. Suppose -4*x + 7*x - 90 = k. Calculate the highest common factor of 20 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2. Let v(p) = 3*p - 4*p + 0*p - 6*p. What is t(v(s))?\nAnswer: 98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {y: 6, p: 3, l: 8}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005025 rounded to six decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445756.\nAnswer: 2, 111439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -27*w - 105. Let l be y(-19). What is the highest common factor of 51 and l?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/2))**31)**(1\/33) assuming m is positive.\nAnswer: m**(-31\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 200? (a) 2\/5 (b) 0.11 (c) 0 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6*t - 45 = 0. Suppose -2*y = t*q - 45, q + 4*q = y + 45. Calculate the remainder when 15 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 8446*i + 50640.\nAnswer: (i - 8440)*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -134a (base 12) to base 5\nAnswer: -32333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 81\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 2:26 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -714, -1393, -2364, -3693?\nAnswer: -5446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*k - 2. Let z be -1*(1 + k)*-1. Solve -2 + 6 = -z*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -3.2, 149, -54?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Let n = 43212\/11 - 12962687\/3300. Let f = 2\/75 - n. Which is the nearest to w? (a) -5 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 808, -75363, 4 in decreasing order.\nAnswer: 808, 4, -75363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*p + 950*p - 2886*p**3 - 479*p.\nAnswer: -2886*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 278960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 11578.17.\nAnswer: -3473.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 + 0 = 0. Let p be 0\/(-3 - (-4)\/2). Put p, 5, h in ascending order.\nAnswer: p, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-8)*(24\/(-93))\/(-4).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101010000001 + 100?\nAnswer: -101101001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 451, -318.5?\nAnswer: -318.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 - 503*n**2 - 204*n - 12135. Determine z(252).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330 and 6138?\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2))**19\/(z*z\/z**1)**(1\/49))\/((z*(((((z\/((z**(2\/27)\/z)\/z)*z*z)\/z)\/z)\/z)\/z)\/z)\/(z\/z**(-1\/3)))**9 assuming z is positive.\nAnswer: z**(3865\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-18))\/(2\/(-6)). Let s be (-11)\/(-15) + r\/5. Let m = -6.64 - -6.74. Which is the closest to m? (a) 0.4 (b) s (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197 + 20*p**2 - 197)*(2 - 2 + 2*p)*(2 - 3 - 1).\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-22))\/(2\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6613536 or -6613535?\nAnswer: -6613535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3493*n + 806*n - 808*n + n - 2*n - n + 0*n + 2*n - 4*n + (-2 + 3 - 2)*(3*n - 3*n - n).\nAnswer: -3498*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m\/m**(1\/13)))*m*m*m**(20\/7) assuming m is positive.\nAnswer: m**(526\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1596 + 1597. Is m bigger than 559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 92*b + 12. Let m be i(10). Suppose -5*z + m + 388 = 0. Let s be (-232)\/z - (-2)\/6. What is the second biggest value in s, 2\/9, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - 3*m + m)*(-96 + 96 + 441*m) + (3*m + 0*m + 0*m)*(0 + 0 + m) in the form r*m**2 + g*m + d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + z - 2 + (-2*z + 3*z + z)*(2 - 5 + 4) - 2*z - z - 4*z)*(0*z + 0*z - 3*z) to the form h*z**2 + q*z + v and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 5, -32, -1, -4, 12574, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -7. Suppose 2*v = 4*v + 10, j*c - 2*v - 14 = 0. Solve 9*z**2 + 3 + 2*z + 0*z**c - 11*z - 3*z**3 + 0 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y + 3. Let h(z) = -z**2 + 4*z - 7. Let l(n) = -3*h(n) - 7*q(n). Let k be l(-4). Let t = -35 + k. Which is greater: t or 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 10*h**2 + 14*h - 12. Let z be i(9). Find the common denominator of 37\/6 and z\/(-36) + -1 - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1026 - 41?\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 3*o - 40. Let p be ((-2892)\/(-45))\/(o\/12). Let c = -1083\/10 - p. Calculate the common denominator of c and -43\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7734*c**5 + 3*c**3 + 90820*c**2 wrt c.\nAnswer: -464040*c**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 4*p**2 - 2*p**2 + (2*p**2 - 2*p + 2*p)*(-2 - 1 + 1) - 4 + 2*p**2 + 4 + 218*p - 52*p**2 - 4*p**2 + 54*p**2.\nAnswer: -3*p**2 + 218*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 2. Let u(l) = 1. Let c(g) = -g + 2. Let t = -32 + 39. Let z be (t - 0) + 1*-4. Let x be c(z). Calculate x*i(h) - 4*u(h).\nAnswer: h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -27. Let u = d - -4. Calculate the remainder when 40 is divided by u\/(-1 + 20\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35122695 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3 + s + 6 + 1 + 2. Suppose 0 = -4*i - 2*g - 130, 3*g = -0*g + 3. Let z = -36 - i. Calculate x(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4*-1)\/(60 + -62). Which is the third smallest value? (a) -0.5 (b) j (c) -3\/2 (d) -8.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*x + 4550196 - 4547256 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-1) - (-4 - (4 - 6)). Suppose x = -8*t + 508 + 20. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*j - 17 + 3, -z + 2 = 2*j. Suppose -j*l + 10 = 2*l. Calculate the remainder when (23\/(-2))\/(l\/(-4)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-12) + (18296\/12 - 3). Let x(n) = 3*n + c + 2*n - 1515 - 6*n. Give x(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 352583400 to the nearest one hundred thousand.\nAnswer: 352600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62982.48 minutes to milliseconds.\nAnswer: 3778948800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -60*p**4 - 11108*p**3 - 76240*p**2 - 9968*p = 0.\nAnswer: -178, -7, -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 49 + (47 - 15 - 12)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -15*l**2 + 34*l - 93. Give o(3).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzxb. Give prob of picking 1 x and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q - 27763 = 58232. Let w = q - -22336\/7. Find c such that 81\/7*c**5 - 4\/7 - 113\/7*c**3 + 32\/7*c - w*c**2 + 45\/7*c**4 = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23065 + 23377. Solve 90 = -67*x - w for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36589 (base 11) in base 3?\nAnswer: -2200011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 12. Let z(n) = n**2 - 12*n + 34. Let t = -20 - -28. Let d be z(t). Solve 0 = 5*k - 2*y - 11, k + d*k - p = y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*l = 2*p + 20, 2*l + 4 = 0. Differentiate p*m**4 - 1382 + 1360 - m + m wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244948 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 13*k + 180. Let y be o(-24). Let j = y - 145. Is 34 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/2)*s*s)\/s)\/(s*(s\/((s*(s**(-10)\/s*s)\/s)\/s))\/s*s)*s**(-17)\/(((s\/s**(-7\/4))\/s)\/s) assuming s is positive.\nAnswer: s**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.761, -0.4, 0.2, 1, -3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 22*l. Let p(z) = z**2. Let d(u) = -4*u**2. Let j(k) = -d(k) - 2*p(k). Determine x(j(m)).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (sqrt(847) + 2 + sqrt(847))) + sqrt(7) - (sqrt(35)\/sqrt(125))**2.\nAnswer: -10*sqrt(7) - 57\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 5. Let c be a(-8). Suppose 0*d = d + 2, -3*t = 2*d - 2. Find the third derivative of 2*b**c + 3*b**t - 8*b**2 + 5*b**3 wrt b.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 972 + 942. Sort 4, u, -5, -47.\nAnswer: -47, -5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8422 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 32 + 303*v - 617*v + 312*v + 11. Let l(n) = -n + 21. Give 6*i(u) - 14*l(u).\nAnswer: 2*u - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l + 25 - 85. Suppose -4*u - 579 = -l*r + 251, r = 3*u + 155. What are the prime factors of r?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -753, -1492, -2229, -2964?\n\"Answer: l**2 - 742*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*32\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94189.\nAnswer: 131, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -235145 - -5?\nAnswer: -235140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 + -221. Let o(j) = -9*j**3 + 2*j**2 + j. Let a be o(-1). Solve 0 = q + 2*q - u*l, -5*q + 3*l - a = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 608 and 228768?\nAnswer: 4346592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 963 - 578. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 31 - 151 = -2*g, -5*s + 335 = -2*g. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 37*o = 39*o + 820 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*d)*(5 - 6 - 5) + 2*d - 4*d - d - 2*d + 2*d + d as b + p*d and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((4\/10)\/(1\/(-15)))\/(-2). Find the second derivative of -16*v**3 - 18*v + 2*v - 10*v**g wrt v.\nAnswer: -156*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 - -5) + -2 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 135\/24 - (-12)\/32?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 7:23 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*k = -c - 14, 2*c - 21 = 5*k. Let h(y) = y**3 + 5*y**2 - 8*y - 16. What is the remainder when (30\/c)\/((-1)\/(-12)) is divided by h(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:26 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 190.041 + -0.041. Let a = -114074.826 + 113885. Let r = a + q. Round r to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1911.308 litres?\nAnswer: 1911308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 18 = -5*c, -6*t + 4*c = -9*t - 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - n - 1. Suppose d = 2*a + 4, -6 + 0 = -3*d. Let u be r(a). Let i(g) = 39*g**2. What are the prime factors of i(u)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 5 = -f - h, 2*h - 8 = -f. Determine i so that 1\/3*i**f - 1\/3*i - 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(33\/(-55))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -93*w**3 - 5*w**2 + 5*w + 48. Let l(u) = 47*u**3 + 3*u**2 - 3*u - 24. Let c(z) = 5*l(z) + 3*v(z). Differentiate c(r) with respect to r.\nAnswer: -132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-35) + 5 + 1\/7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51639, -54648, -59669, -66708, -75771, -86864?\nAnswer: -99993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/29, -2, -4, -2\/5?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46.07? (a) 1\/4 (b) -1\/2 (c) 40 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkyky. What is prob of picking 1 y and 1 k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -17*b**2 - 121*b - 2. Let w be f(-4). Solve -232 = 11*a - w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 16. Let m be d(11). Let p(t) = 19*t**2 + 5*t + 5. Let i(k) = 9*k**2 + 2*k + 2. What is m*i(c) - 2*p(c)?\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32864 and 1664?\nAnswer: 131456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310 + 10*f - 310.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 4881454116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8924709 to the power of 1\/2, to the nearest integer?\nAnswer: 2987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*f = -76, 85 + 14 = 3*k + 2*f. Calculate the remainder when 425 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*c - 1290 + 1290 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 4)*(7*i**4 + 0 - 2 - 4*i**4) in the form p + g*i**4 + u*i**2 + j*i + a*i**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 + 55 = -10*a. Suppose -a*f + 13 = d - 3, -d + 13 = 3*f. Find o, given that 4\/15*o**d + 2\/15*o**5 + 0*o + 0 + 0*o**2 + 0*o**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = 4*c - 60*j + 65*j, j = 2*c - 135. List the prime factors of c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.241752 to 1 dp.\nAnswer: 92.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20605747649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 65048, 259643, 583966, 1038017, 1621796, 2335303, 3178538?\n\"Answer: 64864*y**2 + 3*y + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5867112 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/56 and 3\/161.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 13*s**2. Let q be (28\/6 + -5)\/1*0. Let b(f) = q*f - 3*f - 5*f - 8*f - f. Calculate h(b(j)).\nAnswer: 3757*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 5*d + 22*d - 12*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2. Let f be (v - 5)*(-4)\/1. Calculate the greatest common factor of f and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 15 = 3*k, 13*k - 4*c - 8 = 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -0*l + 4*p - 8, -4*p = -4*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x**2 + 8*x - 11. Suppose 0 = 4*k + 3*k - 21. Let z be p(k). Which is smaller: 138 or z?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697 (base 16) in base 4?\nAnswer: 1122113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 64 + 63 - 252 + 62 + 8084*o.\nAnswer: 8084*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/30 + 43\/60. Let f be ((-42)\/(-56)*1)\/((-6)\/(-32)). Which is the third biggest value? (a) f (b) 0 (c) t (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124926702?\nAnswer: 2, 3, 20821117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3732 in -12\/5, -0.23, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 11. Let b(n) = 30*n - 5. Let x be b(10). Let s = x - 160. Calculate the highest common divisor of d and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -584 - -753. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49740758981 - 0.225\nAnswer: -49740758981.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3248\/870535 - -1533736887\/851035016. Let m = -80\/611 + y. What is the common denominator of m and -77\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 446755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 29 = 5*s - 3*s, 0 = -2*s + 8. Suppose -5*w + 4*x - 19 = 0, -4*w + x = -d*w - 8. Which is the second biggest value? (a) w (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 1. Let w be t(0). Let l be 9\/4 + w*(-4)\/(-16). Suppose 0 = -l*r + 2, 0 = -p + 2*p - 5*r - 82. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2302 - -3574. Does 52 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928452196 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*o**2 - 2742 + 162*o - 1091 - 1250 - 566 with respect to o.\nAnswer: 10*o + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*u + 3*r + 4, 5*r = u - 24. Let o(k) be the first derivative of -32*k - 21*k**2 + u*k + 10 + 14*k**2. What is the first derivative of o(f) wrt f?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-161)\/(-4) + 9\/(-36).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*l - 3*u = -127*l - 24, -7 = -2*l - u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y - 103. Let s be w(11). Let t be (s\/(-8))\/(4\/8). Solve -2 + 2*o + 5\/2*o**3 + t*o**2 = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - sqrt(120)\/sqrt(5))\/((sqrt(27) + sqrt(189)\/sqrt(7))\/sqrt(9)) + 1.\nAnswer: -sqrt(2)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0 + 19\/24*f**4 - 7\/6*f**3 - 25*f**2 + 0*f. What is the derivative of d(a) wrt a?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 0*z + 0 - 1\/3*z**3 + 1\/60*z**5 - 2*z**2 - 1\/24*z**4. What is a(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a year?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + g + 0*g)*(-4*g - 2*g + g).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*l**2 + 2 - 2 - 135*l**2 in the form z*l**2 + f + b*l and give z.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3101333 (base 8) to base 4\nAnswer: -3020023123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1013429\/28 + 36190. What is the common denominator of -29\/56 and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2)*8*1. Let f = 8 - 5. Suppose -g*z + f*z + 50 = 0. Which is smaller: z or 11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-47)\/(((t**(2\/15)*t)\/t*t)\/t**(-1\/4)) assuming t is positive.\nAnswer: t**(2737\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 534.28 - 525. Let c = q - 9. Let g = 0.279928 - c. What is g rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 2*b + 17 - b - 2. Is m(8) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**3 + 3*l + 3. Let a(g) = 8*g**3 + 7*g + 7. Let t(q) = 2*a(q) - 5*v(q). Let k be t(-1). Calculate the greatest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21761 + -21759. Let c = -47.036 - -0.036. Which is bigger: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 713*l**7\/210 + 281*l**4\/8 + 308*l**2 + 2*l. What is the second derivative of n(q) wrt q?\nAnswer: 8556*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7039680 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -34. Which is the closest to -2\/5? (a) -3 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(24)*-2)\/(sqrt(300)*-1) - ((2 + sqrt(6)\/sqrt(3))**2 - (sqrt(288) + 1)**2).\nAnswer: 92*sqrt(2)\/5 + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*f - 5*c + 2*c, -3*f - c + 12 = 0. Suppose f*d - 7*d = -4. Solve 0 = d*p + 6 - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180230467117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-252)\/24)\/((-15)\/(-10) - 2). What is the highest common divisor of 399 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -164*w - 103*w + 2403. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*v + 3*k + 4, -4*v + 72 = 2*k. Solve -5*c + 20 = 0, -h + 3*h = 4*c - v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v. Let t(p) = p + 4 - 2 - 2. Calculate h(t(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + sqrt(560)\/(sqrt(10) - sqrt(160)))\/((sqrt(64) + sqrt(4))*6))\/(((sqrt(66)*2)\/sqrt(11))\/(sqrt(12)\/sqrt(4)*-3)).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 368942444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3747152.\nAnswer: 2, 234197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.71 and 13378226747.\nAnswer: 13378226746.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 5*x + 5 = 0, 4*t + x + 5 = -2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12872240 is divided by 201?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2033*v + 128422. Calculate n(63).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 367 divide 1112929335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a8 - 5?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*j + 41*j = 151*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 2.1083?\nAnswer: -0.084332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 18. Let h be b(-13). Let p = 26 + h. Let i(t) = -t**2 - 37*t - 29. Calculate the remainder when i(-24) is divided by p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -z + 8, 0*s = -3*s - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2. Let h(z) = 125 - 125 - 17*z. Determine x(h(c)).\nAnswer: -289*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 12*d = -36. What is the units digit of d*4\/((-32)\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 0*d + 5*d)*(-2*d**2 + 0*d**2 - d**2) + (-3*d + 3*d + 2*d)*(-1 + 1 + d**2) - 2*d**3 - 6*d**3 + 3*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2909544633?\nAnswer: 3, 61, 607, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -83. Suppose -4*h - y = 247. Let s be 2\/5 - h\/10. Calculate the greatest common divisor of s and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.0875?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/sqrt(90))\/(sqrt(25)\/sqrt(5)*3).\nAnswer: sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80652 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*48\/(-200)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 > -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17298?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 7:44 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 98865622, 197731246, 296596870?\n\"Answer: 98865624*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19425)\/(-1110))\/(42\/(-24))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/5, -4, -1\/4 in ascending order.\nAnswer: -4, -2\/5, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.42 - 0.88. Let f = -0.54 + s. What is the third biggest value in 2\/3, -1.3, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**3\/6 - 7*v**2 + 2*v. Let t(i) = 16*i**2 + 2*i - 4. Let n be t(1). Let q be o(n). Solve q*y - 20 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1124434 (base 5) to base 11\nAnswer: 14545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlwwwllwlw. What is prob of picking 3 l?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -3. Let y = s + 2. Is -2 + (3 + y - -22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/51894 and 35\/155961.\nAnswer: 29008746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) -1\/9 (c) 0.053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 278 - 1673\/6. Let v be (-20)\/35 - (-5)\/21. Let d = -49\/4 + 59\/4. Put o, d, v, 2 in descending order.\nAnswer: d, 2, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 1 = -31 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 439410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -636718 - 27*m - 636715 - 636709 + 1910143.\nAnswer: -27*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 + 25) - (-214 - -205).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 658, 2, -0.6, -3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**5\/60 + 739*y**2. Let i(b) be the second derivative of 23*b**3\/2 + 2*b + 29. Give u(i(o)).\nAnswer: -4761*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3002360828 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 + 4 = 0. Suppose s + 293 = r*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*s**5 + 69962*s**4 + 34*s**2 + 21546*s + 1 wrt s.\nAnswer: 600*s**2 + 1679088*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 3*o - 2*o**2 + ((-4 + 2 + 0)*(-o + 2*o - 2*o) - 26*o - 48*o - 38*o)*(-6*o + 3*o - 2*o).\nAnswer: 548*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5469543?\nAnswer: 3, 607727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 956.9634ml to litres.\nAnswer: 0.9569634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 5)*(0 + 0 - 2*n**2).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16*((-75)\/(-10) - 0). What is the highest common divisor of t and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-12) + 1\/4. Suppose 4*q**2 + 8\/3*q**3 - 16\/3 - 16\/3*q - f*q**4 = 0. Calculate q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 208588490*t**2.\nAnswer: -2*t**2*(t - 104294245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**3\/w)\/(w\/((w*w**(-3\/4))\/w)))\/((w*w*w**(-6)\/w)\/(w*w\/((w**8*w)\/w))))**(-5\/3) assuming w is positive.\nAnswer: w**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*sqrt(28)\/((sqrt(192)\/sqrt(4))\/sqrt(12) + sqrt(4)))**2*-6.\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.46 - -0.04. Which is the second biggest value? (a) -3\/2 (b) -4\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*(2 + 0 + sqrt(108) + 0 + sqrt(108) + 1 + sqrt(108))*-1)**2.\nAnswer: 6912*sqrt(3) + 62784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108841273\/12 + -9064734. Let k(z) = 43*z**3 - 3. Let m be k(-5). Let s = m + n. What is the common denominator of 69\/10 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*r + 30. Suppose 3*h - 2 = r. Differentiate q**4 + 0*q**h - 2 + q**4 with respect to q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - x**2 + 3*x**2 - 3*x - x**2. Let k be t(-1). Suppose -5*h + 35 = z + k*z, -4*z = 3*h - 32. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 = -11. Solve -5*j - 19 = k*m, 3*j + 4*m + 9 = 3*m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -1.1 (b) -1\/2 (c) 1.4 (d) -10\/177 (e) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -2 - (0 - 5)) + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 15120 = 14*n. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804213469?\nAnswer: 23, 3061, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9*18010.129.\nAnswer: 34219.2451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + 196 + 152. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -7 + (2 - -6) - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 155*z**3 + 4*z**2 + 223*z + 8. Let k(u) = -311*u**3 - 9*u**2 - 447*u - 18. Let c(h) = 4*k(h) + 9*r(h). Find the second derivative of c(m) wrt m.\nAnswer: 906*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -2.698?\nAnswer: 0.18886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 4. Let x be (18\/10 - 1)\/((-46)\/(-115)). Suppose j*r - 17 = -3*v, 1 - 5 = -x*v + r. What is the greatest common factor of 27 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*x - 5*d, 2*x + 23 - 7 = -d for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10346 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*k + 15 = 0, 0 = 12*p - 9*p - 4*k - 23 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s + 2. Let h(t) = -t**2 - 3*t + 0*t**2 - 2 + 4*t. Suppose -5*n = -0*n - 10. Calculate n*h(i) - 3*l(i).\nAnswer: -2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**6\/40 - x**3\/6 + 10*x**2. What is the derivative of s(h) wrt h?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 598*l**5*v + 12*l**2*v - 957*l*v + 2 wrt l.\nAnswer: 11960*l**3*v + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/20*(8\/(-80) - 24368\/(-480))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-17) - (-292980)\/19380\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*r + 5*x = -5404 + 335, 0 = -3*r + 2*r + x - 8 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36, -52, -56, -42, -4?\n\"Answer: f**3 - 23*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 228.72 from -218.\nAnswer: -446.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.034949?\nAnswer: -0.069898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x - 16 = -12*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 43\/2*(-12 - -2 - (-212 + 200)). Solve -13*r + 180 = -m*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h - 20*h = 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1730 = 8*j. Suppose -3*t = -j + 166. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 21. Let q be o(18). Sort 5, q, 0, 1.\nAnswer: q, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 364, -2737, 0.3 in decreasing order.\nAnswer: 364, 0.3, -2737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64437484 + -2?\nAnswer: 64437482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 10*r**5 - 5425*r**4 + 968950*r**3 - 54735300*r**2 - 401868000*r + 214497045 = 0.\nAnswer: -7, 1\/2, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 12 - 28 = -2*t, -5*t + 3*v + 40 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2 - 5)*(-b - 4*b - 5*b)*(-2 + 2 - 2) + 0*b + 2*b - 3*b.\nAnswer: 139*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -589 - -605. What is the third derivative of 13500 - 139*x**3 - 13495 - 41*x**3 - i*x**2 wrt x?\nAnswer: -1080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 81\/4? (a) 2 (b) -3\/8 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*(sqrt(3) + (sqrt(9)\/sqrt(3) - sqrt(3)) + sqrt(3))*1 - -2*(sqrt(33)\/(-1*sqrt(11)))**2*-6) + 3.\nAnswer: -38 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 4 - 9 - 2 - 300*y**2 to l*y + r + u*y**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 590605276 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 + 44*g - 44*g + g**3 + 26*g**2 + g**3 to c*g**3 + y*g + h + j*g**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5830.55 kilometers in micrometers?\nAnswer: 5830550000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -195\/137506?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + q**4 - 174*q - q**3 + 83*q - q**3 + 89*q to the form x*q**4 + z*q + i*q**3 + b + m*q**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w + 28*w = -4*p - 126, 4*w - 43*p + 44*p = -40 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(13) + 5 + sqrt(13) + sqrt(13)) + (-2*(sqrt(104)*-1 - sqrt(104) - sqrt(104)))\/sqrt(8).\nAnswer: 25 + 26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2836, 5708, 8624, 11584, 14588?\n\"Answer: 22*d**2 + 2806*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 55*d**2 - 24*d - 4272. Determine f(-56).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2854 divided by -2854?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 249657871 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1227 + 1136. Which is smaller: -88 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/((-344)\/645)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 121012222011120?\nAnswer: 121012222011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 114 = -0*l. Let b = l + -20. Suppose 616*s - 10073 = 34279. What is the highest common factor of s and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l + 1318 = 0. Let v(o) = 11*o - 4*o + 14514*o**2 + 6 + l*o**2. Let k be v(6). What is k rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -239 - -274.2. Is g smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-14)\/q)**(-7\/3)\/(q**(4\/23)*q\/(q\/(q\/q**(2\/13)))))**(-1\/41) assuming q is positive.\nAnswer: q**(-10160\/12259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**4 + 45*t**3 - 20*t**2 - 180*t + 160 = 0 for t.\nAnswer: -2, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r + 28 = 0. Let t = 5 + r. Suppose -4*x + 23 - 43 = 0. Sort t, x, 4 in decreasing order.\nAnswer: 4, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (126\/(-819))\/(707\/(-13))*14\/2\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192356556.\nAnswer: 2, 3, 7, 277, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(567) - (sqrt(567) + 3 - sqrt(567)))**2 - -2*(sqrt(63)*-2 + 0))*3.\nAnswer: -198*sqrt(7) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22111012 + 110010?\nAnswer: 22221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-15)\/(7*55\/(-10318)) is divided by 69?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339533.\nAnswer: 263, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o + 76 + 320. What is the remainder when (15\/(-6))\/((-3)\/114) is divided by o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -476656.99924 - -476635. Let m = 22 + d. What is m rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -541 - -530. Let r(u) = u + 7. Let l be r(-5). Suppose -s + 14 = 5*g, 3*s = g - l*g - 28. Is q bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/18 and -73\/2520.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = s + 2*l, -590439 + 590477 = 2*s + 2*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842407 is divided by 3330?\nAnswer: 3247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + 0 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38, -9, -46, -67, -66, -37?\n\"Answer: b**3 - b**2 - 51*b + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkbbbbkkbk. Give prob of sequence kbbk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*4\/(-16))\/(3534\/304)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 14 - 6)*(0 + 4 + 0)*(n**4 + 2*n**4 - 4*n**4) to p*n**3 + w*n + v*n**2 + k + o*n**4 and give o.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-198)\/(-77))\/(-3*(-1)\/(-14))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 5*v + 60. Let f be 738\/v*52\/(-3). Round f to the nearest ten.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 2236*w + 19800.\nAnswer: 4*(w + 9)*(w + 550)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/2))**23\/((n**(2\/3)\/n)\/(n\/n**(-4))))\/((n*n*n*n\/n**(-2\/7))**(5\/8))**(-11\/6) assuming n is positive.\nAnswer: n**(7517\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 7 + 198*o**2 + 4.\nAnswer: 198*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-45))\/(-1) - 880\/(-3150))*-1.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59\/381 in -117, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112\/9 - 2\/9*t**3 + 2*t**2 + 44\/3*t = 0. Calculate t.\nAnswer: -4, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/109 (b) -1\/697 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2\/13, -1828, 0.1 in descending order.\nAnswer: 2\/13, 0.1, -3\/4, -1828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-1) - 8844\/(-1716)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1904195 - 3*s + 952101 + s - 5*s + 3*s + 952094.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 2*l**2 - l + 10. Let p be c(-3). Let k be -2 + 2 + 3 + -1 + p. Let x(t) = -t + 2. Let w be x(0). Solve -k = w*m + m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -929*c + 10214. Calculate n(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 312683339 and 0.03.\nAnswer: 312683339.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 4) + 23330872229462\/12564. Let h = v - 1856962125. Let n = h - -52\/349. Find the common denominator of n and -43\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l + 1. Suppose o - 2 - 1 = 0. Let s be 1 + 1 + 5 - 2. Suppose -3*u + 3*m = o, -3 = s*m - 13. Determine p(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 10*n**2 - 10*n - 5. Let u be j(-9). Suppose -3*q - 46 = -u*q. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*s**2 + 80644*s + 23040.\nAnswer: 2*(s + 5760)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36590 minus 6812?\nAnswer: -43402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = -2*i. Let x = 122 + -119. Suppose -3 = -w - 3*m, -2*w + x*m + i = w. Solve -5 = w*l + p, 3*p = -0*p - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**3 - 1 + 1)*(882 + 1605 - 1516) as w + b*p + k*p**2 + i*p**3 and give i.\nAnswer: -1942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1513504 - -0.1.\nAnswer: 1513504.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -16123820 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - c + 1. Let b be h(-2). Let d = b + 1. Which is smaller: d or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pffo when four letters picked without replacement from {h: 1, o: 2, s: 2, f: 2, n: 12, p: 1}.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 46*s**2 - 49*s**3 - 46*s**2 as w*s + q*s**3 + f + j*s**2 and give q.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2520250?\nAnswer: 2, 5, 17, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106 + 109. What is the greatest common divisor of y and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 775 in 12, -17.67, 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (145 - 73 + 1)*(3 + 3 - 4)*(0 + 0 + h) to the form k + v*h and give v.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173.491 + 175.4. Let n = 0.091 + s. Is -15\/11 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2572\/(-8))\/((-207)\/32706) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25\/6? (a) 1\/9 (b) -0.36 (c) 1\/8 (d) 17.95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 20*h + 41)*(1 + 0 + 1) - 16*h + 2*h - 7*h + 0*h + 4*h - h.\nAnswer: -58*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2964 is divided by 66.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + f + 1. Let y be w(6). Let p(d) = -3*d**2 + 28*d + 18. Let n be p(10). Sort y, -1, n.\nAnswer: y, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2445*q**3 - 7*q**2 - 21*q - 5. Let i(a) = 2445*a**3 + 6*a**2 + 23*a + 6. Let j(k) = -6*d(k) - 5*i(k). Find the third derivative of j(n) wrt n.\nAnswer: 14670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**2\/9 - 776*c\/3 + 37636 = 0.\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-270))\/(2\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 92. Suppose m*q = 10*q + 5*b + 20, 2*q = -3*b - 12. Let 1\/4*o + q*o**2 + 0 - 1\/4*o**3 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 245 = -6*q. Suppose p = -0*p - 2. Let n = q + p. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -30 + 25, 6 = 2*x - 4*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*z - 67 = 0, 768*z - 772*z - 16 = 0 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 242401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 6*u**2 - 3*u + 2. Let m be -5 + (6\/(-5))\/((-64)\/160). Determine i(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 6)*(2*d**2 + 0*d**2 - 4*d**2).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 - -225. Let z(h) be the first derivative of h**4\/2 - h**3 + 4*h - 15. Let a be z(2). Calculate the highest common factor of a and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-15)*-50*((-42)\/(-15))\/7?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 0.11091?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -327, -2\/11, -9, 4 in decreasing order.\nAnswer: 4, 3, 2, -2\/11, -9, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 3*g + 5*g. Suppose 0 = -5*n + n + g. Suppose w = 5*l - w - 78, 3*l + n*w = 26. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 43*b - 19. Determine s(23).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115650971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l - 40. Let d(o) = 16*o - 180. Let j(t) = -2*d(t) + 9*g(t). Let p(n) = -13*n**2 - 2. Determine j(p(b)).\nAnswer: -52*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m + 25 = 0. Let k(u) = -u**3 + 5*u**2 + u - 2. Calculate the remainder when 5 is divided by k(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -36854?\nAnswer: 36859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 13*o**2 - 1 - 12*o**2 + o**3 - 5 + 46 + o. Let a be n(0). Solve -3*s + 2*q = 1, a = 5*s + 2*q + 3*q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**3 - 49*b**2 - 78*b + 13. Let p(u) = -3*u**3 - 23*u**2 - 37*u + 6. Determine -6*m(f) + 13*p(f).\nAnswer: 3*f**3 - 5*f**2 - 13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaamaaaaaaaaaaaaa. What is prob of picking 4 a?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 + 21872 = 487*g - 1905 for g.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/12 and (-282)\/(-36)*(-12)\/9 + 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f - 2. Suppose -i + 63 = 2*i. Let h be (-6)\/i - (-33)\/(-7). Let y(g) = 8*g - 2. Let t(d) = h*y(d) + 6*w(d). Differentiate t(z) with respect to z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b80 (base 13) to base 6\nAnswer: -31132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12762114 and -0.1.\nAnswer: 12762113.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -10*z**2 + 264*z + 74. What is g(26)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a557993 + -3?\nAnswer: -4a557996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -78419000 to the nearest 1000000.\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -c94 (base 14) to base 8\nAnswer: -4662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*s = 1 - 0, -s = -3*q. Suppose -7 - q = -4*b. Suppose -5*m + b*g + 1150006 = -4*m, m + g = 1149997. Round m to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**3 + 10*o**2 - 3*o + 6. Let c be y(6). What are the prime factors of (8\/12)\/((-8)\/c)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 7*g + 12. Let d be j(-8). Suppose 450 = 3*s + 3*i, -2*i = -d*s + 265 + 347. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -83, -169, -255?\n\"Answer: -86*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15840*b**3*r**2 - b**3*r - 15*b**2*r**2 - 3164358*b*r**2 wrt b.\nAnswer: 95040*b*r**2 - 6*b*r - 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 252?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by (((-8)\/6)\/(8\/348))\/(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 7*n + 353. Determine y(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 121*n**2 + 89*n**2 - 2 - 24*n**2.\nAnswer: 186*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w - 15*w - 9*w + 27*w. Let n(y) = 81*y + 3. Give c(n(k)).\nAnswer: -729*k - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16299860 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5746 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 161 and 374 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r - 286. Let p(x) = 7702*x. Calculate z(p(k)).\nAnswer: 46212*k - 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -907.24888\nAnswer: 906.24888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2. Let x(o) = 2767*o. Calculate x(v(z)).\nAnswer: 2767*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163 - 135. Let m be 1\/2*k\/(-14). Let h(i) = -1. Let y(d) = -4*d**2 - 6. Calculate m*y(g) + 6*h(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 4436439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 15 and 4659\/322 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 40 = -12. Let w(c) = 2*c - 24. Let v(y) = -6*y + 73. Determine s*v(l) - 7*w(l).\nAnswer: -2*l + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -22*k + 1. Let o be a(-2). Let l be 4\/(-10) + (-27)\/(-5). Let n = 10 - l. Calculate the greatest common factor of o and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 704004 divided by 2023.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 - (-10)\/3. Suppose 0 = -4*w - l - 8 - 7, -4*w + 5*l = -v. Is ((-1)\/w)\/(3\/99) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n - 21*n + 10*n. Give u(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 526736 = 21*u. Suppose -13144 = -36*x - u. Are -681 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*922*(-2)\/(-8). Let i = 2595 + r. What is i rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10613821*w**3 - 3*w**2 - 1294*w + 141 wrt w?\nAnswer: -63682926*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (-14)\/(168\/(-684)). Which is smaller: -0.02 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -7*l + 9*l - 6, 8 = 2*z. Solve l*t = -1 - 54 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 4*x + 33 = -15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 7*x**2 + 7*x + 4. Let d be v(-4). Suppose 3*h + 13 = -3*p - 32, -h - 4*p = d. What is the units digit of ((-4)\/h)\/((-4)\/(-108))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 17 + 182 = 0. What is the remainder when p is divided by 9\/(-2)*(37 - 39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68985.86 - 2.5936.\nAnswer: 68983.2664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1207120, 1207118, 1207116, 1207114?\n\"Answer: -2*y + 1207122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let b(y) = y**2 - 5*y - 3. Let r be b(24). Let u(m) = m - m + r*m**2 - 466*m**2. Determine p(u(n)).\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g + 2. Let o(q) = 11*q - 3. Let d(n) = -8*i(n) - 5*o(n). Let b be d(4). Solve 0 = 4*w + a + 13, -b*w + 2*a + 3 + 1 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -2 - (-3 + 0)) + -3 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**2 - 2*s + s**3 - 1\/20*s**5 + 0 + 1\/3*s**4. Let t be p(5). Solve 2*c = -t*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8172 + -8177. What is the nearest to -2 in 0.06, g, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7193 - 7192. Which is the nearest to 28? (a) 0.1 (b) -2\/93 (c) s (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -16428433?\nAnswer: 16428438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50132.\nAnswer: 2, 83, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3027 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328517768, -328517771, -328517774, -328517777?\nAnswer: -328517780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1301431 - 817431. Round l to the nearest 10000.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 + -37732012.71?\nAnswer: -37731903.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -15*u**3 + 2*u**2 + 15*u. Suppose -3*r - 38 = -5. Let o = 74 - 68. Let f(s) = s**2 + 6*s - 5*s - 8*s**3 + 7*s. Give o*t(h) + r*f(h).\nAnswer: -2*h**3 + h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*m + 7*m, -5*b + 4*m = -16. Suppose b = 3*r - 6*o + 2*o - 242, -r + 106 = 5*o. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + f + 7. Let u be o(0). Suppose -5*k - 3*v = 101, -u*k = -4*k - 3*v + 51. Let i = -17 - k. Solve 4 = 2*w - i, 0 = 4*g + 5*w - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/20 + 2)\/((-8)\/80).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301102 + -10?\nAnswer: -301112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, d: 2}. Give prob of sequence dd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111000100110010100011111 (base 2) to base 5.\nAnswer: -12244241043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-315)*-9*(-20)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -0.7. Let b = 0.033 + -0.333. What is the biggest value in -1\/2, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*((i\/i**(-8))\/i)\/i)**(2\/29)*(i\/i**(-3\/2))\/(i*i**17) assuming i is positive.\nAnswer: i**(-863\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.24 (b) 18\/59 (c) 2\/3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/27 and 101\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-33)\/21)*4\/3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 227 - 382. Let k = a - -192. Suppose 5*n - 55 - 130 = 0. Calculate the highest common divisor of k and n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -1. Let l = -1.712 - -1.912. What is the second smallest value in 4, l, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243339 is divided by 526?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5311233 (base 6) in base 4?\nAnswer: 333002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 9. What is the remainder when d is divided by (-4042)\/(-188) + 6\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12206535 (base 7) to base 9\nAnswer: 2047676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -437, -600, -729, -818, -861, -852, -785, -654?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3720\/105 + 3\/(-7). What is the tens digit of ((-44)\/(-10))\/(k\/1575)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z - 10. Let o(b) = -11*b - 29. Let u(s) = 8*c(s) - 3*o(s). Let h be u(-7). Suppose -p + h = -6. Solve -n - n - p = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Suppose s + u = -2. Let b = 80816 + -80820. Sort -2, 3, b, s in descending order.\nAnswer: 3, -2, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18748483?\nAnswer: 13, 1442191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 7*f + 7. Let v be t(-6). Let q(o) = 19*o**3 - o**2. Let s be q(v). Let n = -6 + s. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + c + 1. Let y(h) = -h**3 - 4*h**2 - 4*h - 11. Let n(x) = -4*b(x) - y(x). Give n(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z - 18 = -42*z. Suppose -13 = 4*q - z. Let h(p) = 8*p**2 - 5*p + 6. Let y(w) = -w**2 + w - 1. Calculate q*h(r) - 5*y(r).\nAnswer: -3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*(14 - 8). Let j = r - -11. Factor -d + 3*d - 2*d**3 - j + 0 - 2*d**2 + 4.\nAnswer: -2*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 4*y + 2. Let k(d) = -6*d**2 + 24*d + 11. Let g(r) = -6*k(r) + 34*l(r). What is the units digit of g(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13907797 + 0.02?\nAnswer: -13907796.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -60, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 = -4*g. Is 4\/6 + (-235)\/g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2210002 (base 3) to base 13\nAnswer: bcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0338 - 4.9662. Sort -0.2, 9, 2, f in increasing order.\nAnswer: f, -0.2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -217003\/26712 - 4\/3339. Let r = -27543\/110 - -2630\/11. Find the common denominator of r and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 3*f + 8*f)*(-f + 3*f - 4*f - 9).\nAnswer: -18*f**2 - 81*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684119611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v - 2 - 8*v + 3. Give g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52551150 and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -51?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/12 - 1138\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 1}. What is prob of picking 2 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (1 - 56\/64) + (-7775)\/(-8) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**2 + 116506*q + 307466 wrt q.\nAnswer: 4*q + 116506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 3*h + 2*h)*(h - 2*h + 2*h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37647880?\nAnswer: 2, 5, 127, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5788 is divided by 1436?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 508086 and -1.\nAnswer: 508085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 6:30 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -0.25225.\nAnswer: -7.25225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l - 2. Give y(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -1*(2 - -1) - -3. Suppose 18 = -z + 5*m, m - 54 - 113 = t*z. Let k = -39 - z. Solve 0 = -f + k - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(57 + -44))\/((-4)\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5*n + 35, -24 = 5*n + 1. Suppose 5*g = 3*g + y. Calculate the lowest common multiple of g and 46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136\/6533 + 182516\/19599. Solve -272\/3 + 944\/3*u + f*u**2 = 0.\nAnswer: -34, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 3*a - 13 = -3*x, 21 = 3*x + 3*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7384, -7367, -7340, -7303, -7256, -7199?\nAnswer: -7132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 5*d**2 - 2. Let b be v(5). Let o = 0 - b. What is the least common multiple of o and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 a when three letters picked without replacement from {w: 3, t: 10, x: 3, a: 1, k: 2}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 107131 times -66?\nAnswer: -7070646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 857, 1079, 1451, 1973, 2645, 3467, 4439?\nAnswer: 5561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 15 = 0, 3*p + a - 6*a + 18 = 0. What are the prime factors of p*(-4)\/(-8)*-84?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 214*h - 518*h - 12160 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(1704\/85200).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 + 57 = 2*a + 4*k, 3*k + 895 = 4*a. What are the prime factors of a?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20893\/4 + 5224. Let j(t) be the first derivative of -l*t**4 + 6*t - 12 + 0*t**3 + 9\/2*t**2. Factor j(c).\nAnswer: -3*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 132489 + 4?\nAnswer: 132492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 1299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2856116\/26427 + -7432\/69. Do m and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 3*i - 14*i)*(-7*i + 73*i + 11*i - 3) in the form l*i + v + d*i**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 219*c - 3276.\nAnswer: -3*(c + 21)*(c + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2783*z - 31*z**2 + 2783*z.\nAnswer: -31*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5 + 29996*i**4 - 419690*i**3 + 2068080*i**2 - 4315608*i + 3236544 = 0. What is i?\nAnswer: 2, 3, 6, 14984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -145. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1193*d - 1227*d + 2421*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 36. Give q(27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - s = -7*o + 17, 9 = 3*o - 2*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 0.9. Let i be 26\/((-8736)\/(-75)) - 2\/(-32). Which is the nearest to -0.3? (a) d (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 304?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1219*p**2 - 24*p + 430. Let v(t) = 4*t. Let d(q) = r(q) + 6*v(q). What is the first derivative of d(l) wrt l?\nAnswer: -2438*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49008 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 l, and 1 h when three letters picked without replacement from {q: 1, r: 3, h: 2, l: 6}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2\/3 + 815*o\/3 - 631090\/3 = 0 for o.\nAnswer: -446, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from ooptwntoztn.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 344 + -170. List the prime factors of y.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 3*v - 346 = -618, -l + 868 = -2*l + 9*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-7)*c**7\/c)**42\/((c**5\/((c*(c**(-1\/3)\/c)\/c)\/c))\/(c**5\/c**(1\/4))) assuming c is positive.\nAnswer: c**(-31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -555*v**3 - 166*v**2 + 2*v?\nAnswer: -3330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010186006278 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*r - 3*r - 11*r + 5*r.\nAnswer: -49*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a**2 + 39*a - 20. Let v be g(6). Let q(z) = 3*z. Let x(i) = 3*i. Calculate v*x(o) + 3*q(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -2\/237 (b) -41 (c) 0 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**3 + 5*k**2 - 6*k + 2. Let y be x(1). Which is the nearest to -0.089? (a) -4 (b) 1 (c) y (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -925819*l*m + 1460908*m wrt l.\nAnswer: -925819*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1076918*h - 16*h**2 - 1076918*h.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 1288 + 473 + f + 552.\nAnswer: -f - 263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:14 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4, -3*u + 7*c - 2*c + 1 = 0. What is the third derivative of -96*i**4 - 100*i**4 + 196*i**4 - 2*i - 87*i**5 - 3*i**u wrt i?\nAnswer: -5220*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36256150 or 108768446\/3?\nAnswer: 108768446\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 4*y**2 + y**3 + 2*y**2)*(26*y - 9*y - 4*y).\nAnswer: 13*y**4 - 13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10032502 (base 6) to base 15.\nAnswer: 59428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*5\/405*6\/(-1).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, v: 4, l: 4}. Give prob of sequence vll.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8045.3721043 + 11634?\nAnswer: 3588.6278957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 43*s - 102. Solve -6 = -5*a - 3*q, 5*a - 27 = s*q - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1328)\/(-164))\/(-83)*5\/50?\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(-1\/4) assuming j is positive.\nAnswer: j**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 779410 and 467646.\nAnswer: 2338230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.04. Let v = r - 0.56. What is the second biggest value in 0.5, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -183*x**2 - 2*x + 3. Give i(1).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 9*a - 5. Suppose -9 = 5*m + 31. Let j be q(m). Suppose 4*n + 2 = p + 5, -5*n = j*p - 8. Do p and 1\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*t - 31 - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-18 + 6) - 4) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Let u = 16 - 15.6. What is the closest to 1 in -5\/6, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9) + 62231\/(-48). Let a = w + 1291. Let b = 450217\/22 + -20460. What is the common denominator of b and a?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11083280.\nAnswer: 2, 5, 13, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 3*l - 3. Suppose -3*z + 2*d + 7 = 0, -2*d - 3*d = 4*z + 29. Let v be (3 - z)\/((-12)\/(-6)). Give r(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 90*h + 3. Let q be r(-1). Round q to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 5 + 2*w - 4 - w**3 + 14 - 1 as a + f*w**3 + o*w + c*w**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5\/2, -0.2, -0.9, -17?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 plus 46657504?\nAnswer: 46657502.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 - (1 + 3 + -1). Suppose -4*y - b - 17 = 0. Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 5*i**2 + 5*i**2 - 4*i**2)*(i - 4*i + 4*i) + (-2*i**4 + 4*i**3 - 4*i**3)*(-1 + 2 + 1) + 0*i + i**4 + 0*i.\nAnswer: -i**4 + 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 20929833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 270 = -6*r. Suppose 0 = -v - 2*y + r, -2*v + y - 75 = -4*v. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-10)\/(f*f**8) assuming f is positive.\nAnswer: f**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*u**2 + 30*u**2 + 45*u**2 - 112*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s - 5. Let k be 1 + 2*27\/(-6). What is the tens digit of h(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24658 + -327?\nAnswer: 24331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(84) + sqrt(84)*2)*2*-2)\/(sqrt(120)\/(sqrt(120)\/(sqrt(12)*-1))*-4).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-7)*((-210)\/(-108))\/(-7)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*m*y**3 + 381*m*y - 35*y**3 + y**2 wrt y?\nAnswer: -36*m - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - 4) + (2 + 5 - -7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156860 a multiple of 897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -55*v + 44. Let w(h) = 4*h - 3. Let t(d) = -3*u(d) - 44*w(d). Let o(l) = 39*l**2. What is o(t(c))?\nAnswer: 4719*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-3)\/(-2) + -1). Let z = 1153 - 654. Let x = -500 + z. Which is the fourth smallest value? (a) x (b) 2 (c) -0.2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**3 - 7*m**2 + 4*m - 5. Let t(y) = 5*y**3 - 6*y**2 + 3*y - 4. Let j(i) = -6*i - 2. Let q be j(-1). Calculate q*n(w) - 5*t(w).\nAnswer: -w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/11 - -2\/33. Put -0.5, k, -1, -0.6 in decreasing order.\nAnswer: k, -0.5, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*p - 3*p - 7*p)*(30 - 16 + 86).\nAnswer: -700*p + 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + f + 2*f + 11, 3*j = -2*f. Suppose 15 = j*m - 33. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, 124 in descending order.\nAnswer: 124, 4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 1. Give g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -160 and -4450 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 59 (c) 1 (d) 47 (e) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.3702 decades in months?\nAnswer: 15284.424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**3 - 2*s**2 + 4. Let a(n) be the third derivative of -1\/24*n**4 + 1\/30*n**5 + 0 + 8*n**2 - 7\/120*n**6 + 0*n - 5\/6*n**3. What is -4*a(r) - 5*l(r)?\nAnswer: -2*r**3 + 2*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 9, -1\/4, 1, -0.031, -2\/13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 + 86 = 10*d. What is the lowest common multiple of d and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 34248?\nAnswer: -34247.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696b9 (base 14) in base 4?\nAnswer: 3001323303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 0*w + 0*w**6 + 0 - 7*w**2 - 7\/24*w**4 + 0*w**5 + 0*w**7 - 3\/112*w**8 + 0*w**3. Find the second derivative of k(r) wrt r.\nAnswer: -180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**6\/48 - 17*w**5\/40 + 53*w**4\/16 - 145*w**3\/12 + 325*w**2\/16 - 125*w\/8 + 37. Factor b(i).\nAnswer: (i - 5)**3*(i - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*a**2 - 15*a + 20*a + 0*a**2 - 7*a - 27*a to the form j*a**2 + q + m*a and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -113235 divided by 22647?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 4, 0.3, -511, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*s + 23*s. Suppose s*g - g = 3*r - 3, r = -g + 11. Calculate the highest common factor of 45 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(190)\/((sqrt(160) + sqrt(10) - sqrt(10)) + sqrt(10))) + 2.\nAnswer: 2 + 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16914683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 - 2*y**2 - 3*y - 1. Let c(j) = -3*j**3 + 2*j**2 + 2*j + 1. Let t(u) = 3*c(u) + 2*x(u). Find the third derivative of t(g) wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 4)\/((-13)\/39).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*p + p - 26 = 0, -5*p - 78 = -3*n. Let j = 7 + n. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 401667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 19795\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*o - 9, 0 = 2*u + 135*o - 131*o - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17\/4 of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -167 (base 9) to base 12\nAnswer: -ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r + i - 1, r + 5*i + 11 = 0. Suppose r*b = 3*v + 3386, -v + 5*b - 1125 = -0*v. What is v rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*c + 10 = 0, -3*v + 3*c + 17 = 2*v. Suppose -2*q = v + 3. What are the prime factors of 17 - (-4)\/q - 1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + -51.388. Let y = 2184.6 - 2185. Let o = y - x. Round o to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -6.4. Let i = b - 1.8. Let f = -10 + 6. Put i, f, 5 in decreasing order.\nAnswer: 5, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 16156. Let j(k) = -2*k - 16136. What is 4*g(z) - 3*j(z)?\nAnswer: -2*z - 16216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**4 - 350797*v**3 - 1719*v**2 + 18849*v wrt v?\nAnswer: 96*v - 2104782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2894257 by -3.\nAnswer: 2894257\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 270780 divided by 20\nAnswer: 13539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -64651 = -64653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10068056797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 34 = 3*y, -2*y + 10 = -3*o - 14. Suppose y*g = 297 + 327. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpmmppmpmp. Give prob of picking 1 p and 3 m.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 948669, 948670, 948671, 948672?\n\"Answer: f + 948668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coo when three letters picked without replacement from cocccooccc.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00175252 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51.762 - 52. Let i = -2.762 + r. Which is the nearest to 1? (a) 4\/3 (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-330)\/(-20) - (-2)\/(-4). Suppose -4*j + 569 = -3*r, 2*r + 18 = -2*j + 292. Suppose 4*z - j = -p. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 36*y**2 - 69*y + 34.\nAnswer: -(y - 34)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -41) + (2 - 15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*0.03775.\nAnswer: -0.002265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2172792, 2172791, 2172790, 2172789, 2172788?\n\"Answer: -v + 2172793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6000.45cm to meters.\nAnswer: 60.0045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21903 = -n + 5*u, -12*u = -3*n - 7*u + 65749. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4 + 3*h**2 + 4 - 12 + 5*h. Let y be z(1). Solve y*l = l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37393.11 months in decades?\nAnswer: 311.60925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 divided by -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**7*r\/(r\/((r\/(r*(r\/(r*r**1))\/r))\/r)*r) assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6670, 13355, 20036, 26713?\nAnswer: 33386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, 3, -0.04, 17442, 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20915479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-196)\/(-10) - (-7 + -3 - (-1537)\/145)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 8*q - 65 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 6*i**2 + 5*i - 1. Determine g(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 4*s + 35 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 8*h + 2. Let u be g(8). Suppose -8*n - 32 = -9*n. What is the remainder when n is divided by u\/(-6) - (-34)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1754d4 (base 14) to base 12\nAnswer: -337442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -72, 23491 in ascending order.\nAnswer: -72, 7, 23491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 45\/25 + 32\/10. Suppose v = -y + 6. Solve -3*a = -3*q - 3, a + 3*a - 1 = y*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 33 + 2 = 26. Solve -2*m = 9 - l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.5 - 2.6.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*w - 268*w + 4720 = -1852. Solve w*g + 115 = 129*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24281*i**2*y**2 + 43*i**2*y + 17*i*y**2 - 36005 wrt y?\nAnswer: 48562*i**2 + 34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2. Let i = 32 + -25. Suppose -5*g - 3*p = -158, -2*g + i*p + 58 = 3*p. Let u(l) = -31 + 6*l + g - 4*l. Determine k(u(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -12, -5, -7, 267.\nAnswer: -12, -7, -6, -5, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 761 (base 8) in base 10?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 442 and 29563?\nAnswer: 768638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29819, 29632, 29405, 29120, 28759, 28304, 27737?\nAnswer: 27040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 19*r - 12. Let n be 4 + (-12)\/(-3) + -4. Let d be 10 + -3 - n\/(-2). Calculate the remainder when v(d) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451599, -3613873, -12197193, -28912083, -56469067, -97578669, -154951413, -231297823?\nAnswer: -329328423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 9*f**2 + 12*f - 9. Let c be j(-7). Solve -2*y - y + 21 = 5*d, -c = 2*y - 3*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {x: 3, r: 1, t: 1, m: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*sqrt(21))\/sqrt(7) + sqrt(18)\/(sqrt(30)\/sqrt(5)) + -2*sqrt(363) + -5 + -1*(sqrt(363) + -2 + sqrt(363)))**2.\nAnswer: -176*sqrt(3) + 5812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Suppose 5*w = -2*v + 40, 2*w - 3*v + 4 = 1. Solve 4*a - t - 2*t = -1, m = 2*t - w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7401672, -7401673, -7401674, -7401675, -7401676, -7401677?\n\"Answer: -s - 7401671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -6*i + 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10341\/7 - -1477. What is the fourth biggest value in 6\/7, -3, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 72\/15 + (3 - 28\/10). Let h = 16 - 9. Suppose -14 = -h*c + k*c. Solve -3*o - 4 = -c*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 + -19.18. Let s = 17.4 + k. Let r = s - -1.59905. What is r rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 17. What is the second derivative of g**4 + l*g + 2*g**4 + 4*g**4 wrt g?\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 minus 9371891?\nAnswer: -9371891.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-7))\/((9\/21)\/(-1)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 501*c**3*t + c**3 - 1451*c**2*t + 2*c*t - 18*c - 3*t - 4422 wrt c?\nAnswer: 3006*c*t + 6*c - 2902*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/62)\/((-8)\/(-64)*(-4)\/(-13)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 503*h - 5 - 3 + 4 - 253*h - 251*h. Suppose 5*l = -4*u - 9, 0 = 5*l - 2*l - u + 19. Give q(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 498*s - 2862. Determine j(6).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 25035718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50326.86 millennia in months?\nAnswer: 603922320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q\/q**10))*q)\/(q*q**(-19))*(q\/(q**(1\/7)\/q*q)*q)\/q*q**(2\/45) assuming q is positive.\nAnswer: q**(3119\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**4 + 4487250*p**3 - 98717780*p**2 + 628200600*p - 897428000 = 0. Calculate p.\nAnswer: 2, 10, 897428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 0*u**6 + 5*u**2 + 0 + 0*u**3 - 2\/105*u**7 + 0*u - 1\/30*u**5 + 0*u**4. What is the third derivative of f(o) wrt o?\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(228) + (sqrt(228) - (sqrt(228)*-1 - sqrt(228)))) - -1*2*sqrt(228))\/((sqrt(144) + (sqrt(144)*-1*3 - sqrt(144)))\/sqrt(12)).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 20 = 4*u. Suppose u*p - 103 = 173. Calculate the remainder when p is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {i: 4, o: 2, z: 10}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-19)\/((w*w\/(w*w**(-3\/4)*w*w*w))\/w))\/(w**19\/w)**(-46))**(-3\/22) assuming w is positive.\nAnswer: w**(-885\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5093 - 5093.6. Which is the smallest value? (a) 4 (b) k (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**3 + 4*o**2 + 4*o + 20. Give h(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 9:43 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*g = -18, -10*j - 3*g - 12 = -9*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 2*j - j**4 + 17*j**2 - 2 + 11*j**3 - 19*j**2 - 10*j**3 to y*j**2 + k*j**4 + s*j + d*j**3 + r and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**3 - 544*b**2 + 5140*b - 12600 = 0. What is b?\nAnswer: 5, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 30 = -f, 4*f - h + 0*h = 85. Suppose -200 = -7*i + 2*i. What is the greatest common factor of f and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*r - 6, 30*g - 6 = 31*g + 5*r. Solve -35 = g*m - 63 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkk when three letters picked without replacement from {m: 1, b: 7, k: 2, g: 2}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-3*s**2 + 3*s**2 - 2*s**4) - 2*s**2 + 2*s**2 + 2*s**4 - 222*s**4 + 961*s**4 + 311*s**4.\nAnswer: 1056*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 5:04 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4, 2 = -3*v + 4*n - 3*n. Suppose v = -3*b - 2*b - z + 10, -4*b + 8 = 2*z. Suppose 4 = 2*o - b. Solve -3*q + o*r + 1 = 4, 7 = -q + 3*r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 18*m = 48. Suppose m*l - 14 = 9*l. Solve l - 7 = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94500000 to the nearest one million.\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4687 - -7020. Let a = t - 1422. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 645 - 967 = 2*h, -3*h = 6. What are the prime factors of n?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35815, -35715, -35615?\nAnswer: -35515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4315858 (base 9) to base 10\nAnswer: -2313818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhaaaachzzun. Give prob of sequence uha.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -47619 >= -47618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 52. Let n be f(23). Let v(d) = -d - 1. Let j be v(n). Let a(w) = -3*w**2 - 6*w - 5. Let q(y) = -2*y**2 - 5*y - 4. Give j*q(i) - 4*a(i).\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 1619\/21. Which is the closest to -2\/7? (a) g (b) 4 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13\/4)\/(3\/36). Suppose 10*w = 9 - l. What is the biggest value in w, 3, -4, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.003, 1\/3, 2, -637, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2184*y = 2533*y + 320756 for y.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + o + 8 + 2)*(0*o + 2*o - o).\nAnswer: o**2 - 13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g - 19 = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3913)\/(-65) - 4\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {j: 5, a: 2, s: 6}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -11 + -4 + -43?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 237\/7 + -6 + 3. Let l = 194118 - 13590273\/70. Let j = f + l. What is the common denominator of j and 125\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2\/3 (b) 51695 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66694 is divided by 702?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2353)\/4344*(-4)\/(-1)*-6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1221792 by -1424.\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19568 or -19571?\nAnswer: -19571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k - 30 = -4*d, 2*k = 7*d - 36. Solve o + o - h = d, 0 = -4*o - 2*h + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = -6. Let k = -1 + w. Suppose -5*y = 3*r - 191, -r + 187 = 2*y + k*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*a**4 + 6*a + 2103.\nAnswer: -252*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275119 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-7*9\/(-12474)). Solve 0 = -14*g + 100 - r for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 8:58 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*b + 6. Suppose y = -0*y - b*d + 1, -4*d - 1 = 5*y. Let u = 35\/172 + 2\/43. Is y greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/10)\/((-1)\/(-15)). Find the second derivative of 0*c - 3*c**3 - r*c - c**3 wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24250753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebe when three letters picked without replacement from beebeebebebe?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*o - 68 - 331 - 276 + 363 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0070937 rounded to 4 decimal places?\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 260\/16*(-38)\/5. Let y = -126 - d. Let m = 0.29 + 1.71. Which is the second smallest value? (a) 2\/15 (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-172)\/(7 + -3). Let p = -31 - q. Suppose p = -5*m + 1470. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255057 by 7729.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0*y + 6. Do 3\/4 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * 91.\nAnswer: 17.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**3\/3 + 847. Let b(v) = 378*v - 4. Calculate b(z(x)).\nAnswer: 378*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/7418208 and 85\/672.\nAnswer: 7418208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.0691, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -19\/340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 2. Suppose 0*s = s + 3. What is the units digit of b(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*o + 54, -5*v = -4*v - 4*o - 51 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186536736 by 1727192.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337, -678, -1021, -1366, -1713?\nAnswer: -2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.2949 centuries in years?\nAnswer: 23929.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.2, 2, -0.1, 2\/7 in ascending order.\nAnswer: -0.2, -0.1, 1\/5, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 191.\nAnswer: -3\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lil when three letters picked without replacement from {l: 2, v: 2, n: 3, z: 2, r: 2, i: 8}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*w + 18, -2*w - 8 = 2*w. Suppose 13 = p*g - 7. Determine f, given that -14*f**g + 6*f**2 + 10*f**3 + f**2 - 3*f**2 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -914 - -914.5132. Round u to 2 decimal places.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p - 18*p + 15*p + 0*p - 2*p + 3*p + 0 + 0 + p + (-2*p + p + 2*p)*(-3 + 4 + 0))*(2*p + 2 - 2)*(-2*p**2 - 5 + 5).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -9 (c) 0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 2) + -2 + -6 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.02482458 times 0.06\nAnswer: -0.0014894748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 28360202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3) + 85\/40 + -4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32055286?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3\/7 (b) -1 (c) 0.3 (d) 0.003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2048) + sqrt(2048) + ((sqrt(2048) - (sqrt(2048) + -2)**2) + 4 - sqrt(2048)) - (sqrt(2048) + 1 + -4)**2.\nAnswer: -4105 + 384*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -252271?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 25 = -19. Sort -9, m, 2.\nAnswer: -9, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16879 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 483407, 483404, 483399, 483392, 483383, 483372, 483359?\n\"Answer: -p**2 + 483408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391762, 783382, 1175000, 1566616, 1958230, 2349842, 2741452?\nAnswer: 3133060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, e: 1, y: 1, r: 1, a: 2, s: 1}. What is prob of picking 1 h, 1 y, 1 s, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 35 = -9*s. Let m(n) = 5*n + 36. Let r(h) = 1. Let x(y) = m(y) + 2*r(y). Let b be x(s). Sort b, 3, 1\/6 in ascending order.\nAnswer: 1\/6, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/7752 and 5\/16?\nAnswer: 15504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -7. Suppose 3*w - 10 = -2*i + 9, -2*w = -a. Suppose i*c - 22 - 40 = 0. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 3*n + 3. Let s be w(-4). Let y be 2\/s + (-45)\/35. What is the units digit of y\/(-4) + (-93)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 9788*t**2 - 9782*t**2 + 27*t.\nAnswer: 6*t**2 + 26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.3 + 3.39. Which is the third biggest value? (a) -2\/3 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17818*w**6 + w**5 + 909*w**2 - 2*w?\nAnswer: 2138160*w**3 + 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**4*n**(1\/3))**33)**(-5) assuming n is positive.\nAnswer: n**440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68579, -68684, -68789, -68894, -68999, -69104?\nAnswer: -69209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*b = -117891732, 0 = -3*q - 3*b - 2*b + 88418795. Let t = q - 17072935. What is t rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6053434 (base 8) to base 16.\nAnswer: -18571c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 549304 and 168.\nAnswer: 1647912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 5*r**3\/3 - 1. Suppose 3*y - 25 = -2*y. Let w(m) = -6 - y + 11 + m. Calculate w(p(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*sqrt(187))\/sqrt(11)*-4 + (3 + -1 + sqrt(1700) - 4*-1*sqrt(1700))**2)*1.\nAnswer: 180*sqrt(17) + 42504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {a: 1, c: 13, d: 6}?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaxraraaaraarraa. What is prob of picking 1 x, 1 a, and 2 r?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 6*p**2 - 3*p. Let v be b(5). Suppose -7*n = -v*n + 6. Solve -4*j = 3*d - 31, -4*j = n*d + 2*d - 36 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 3497*k**6\/30 - k**5\/10 - 5*k**4\/12 - 158*k**3\/3 - k**2\/2 - 37*k - 68. What is the third derivative of m(l) wrt l?\nAnswer: 83928*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 - 22 = 4*b. Let y be (-7)\/b + 4\/(-12). Sort 6\/7, y, 5.\nAnswer: y, 6\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16340611*v - 6823894 wrt v?\nAnswer: -16340611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**2 + 0*g**4 - 1\/300*g**5 + 1\/30*g**3 + 0*g + 2. Let t(o) be the second derivative of y(o). Let t(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 86, 168, 248, 326?\n\"Answer: -k**2 + 85*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -765491 + 0.790426.\nAnswer: -765490.209574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3715084 = 45*t - 3716029 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(187) + sqrt(187) + sqrt(187))\/sqrt(11) + 3.\nAnswer: -2*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 + -98. Calculate the greatest common factor of o and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 984 and 592701822?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 356*r**7\/7 + 3*r**5\/5 - 878*r**3\/3 - 54. Find the third derivative of n(j) wrt j.\nAnswer: 42720*j**3 + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -1.9, 3, 1\/5, 124.\nAnswer: -1.9, 1\/5, 3, 83, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 189817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 15*c = -19*c + 8, -z = c - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/77 and -23\/2030847?\nAnswer: 22339317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 + 16*z + 5. Let m be v(-5). Suppose -4*j + 3*w = 2*w - m, 16 = j + 3*w. Solve j*d - 20 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.362\nAnswer: -0.1448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1087, 2178, 3271, 4366, 5463, 6562?\nAnswer: 7663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 82*x - 462. Let f(o) = 55*o - 461. Calculate -3*f(t) + 2*g(t).\nAnswer: -t + 459","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*s + 537 - 725. Let o(l) = 3 - 7 + 40*l - 45*l. Let y(r) = -6*r - 5. Determine s*o(v) + 3*y(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3 + 91566*j**2 - 9355338*j + 238693770 = 0. Calculate j.\nAnswer: -45885, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.35 - -1.35. Which is the nearest to l? (a) -0.2 (b) -37 (c) 1\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*t + 75*t - 2310 = 0. Let p be 2\/10 - t\/110. Sort -1, -3, 3, p in decreasing order.\nAnswer: 3, -1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u + 37. Let t be x(-8). Let l = 25 - t. Suppose 0 = -10*o + l + 306. Calculate the remainder when o is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 913 - 527. Let s = v - 384. Let -s*m**4 + 4 - 10*m + 7*m**2 + 1\/2*m**5 + 1\/2*m**3 = 0. Calculate m.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -7*d + 40. Let u = d - -10. Is -8 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112202100020 - -12?\nAnswer: -1112202100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - ((-3 - -20) + -43).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffcfccccccfcffcf. Give prob of sequence ffcc.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1568, 2945, 4338, 5747, 7172, 8613?\nAnswer: 10070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4988*(2\/(-3) + 2\/12). Is -3*g\/15 - (-2)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haha. What is prob of picking 1 h and 1 a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/3498 and 28\/419177.\nAnswer: 2515062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 51526?\nAnswer: 1\/51526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in minutes?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a kilogram in grams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 51. Let t be 9\/15 - (20284\/440 + -50). Sort t, 2, h.\nAnswer: h, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43316, -86652, -129990, -173330?\nAnswer: -216672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 5*u + 1. Calculate y(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**5\/40 - j**3 + 7. Let l(s) be the third derivative of i(s). Let w(z) be the first derivative of -z**2\/2 + 1. Give w(l(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -14813*f - 9283. Let t be r(8). Round t to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = 3. Let i be o\/3 - 113396\/12. Let x = 94383\/10 + i. Calculate the common denominator of 53\/8 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 2*y**5 + y**3 + (-2*y**5 - 3*y**5 + 0*y**5)*(-1 + 7 + 0) - 2*y**5 + 3*y**5 - 3*y**5 + (-y**4 - 2*y**4 + 2*y**4)*(0*y + 4*y + 0*y).\nAnswer: -38*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7976513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, k: 6, l: 1, u: 3, b: 5, v: 3}. What is prob of sequence kb?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5700, 11932, 18168, 24396, 30604, 36780, 42912?\nAnswer: 48988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + d. Let b(h) = 7*h**2 - 5*h - 3. Let u = -2 + 7. Calculate u*j(z) + b(z).\nAnswer: 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/2 of a minute?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*h**4 - h**3 + h**2 - 853*h - 1517625?\nAnswer: -208*h**3 - 3*h**2 + 2*h - 853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**7*(i**(3\/10)*i)\/i*(i**(-1)\/i*i*i*i)\/i*i\/i**(-3) assuming i is positive.\nAnswer: i**(113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4*b*(b**(-6\/5)*b)\/b)**(-9\/5))**(-2\/57) assuming b is positive.\nAnswer: b**(6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 18\/30)\/(16\/10)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.602115 to 2 decimal places.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*4\/(-8) - (-5)\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 50826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 97\/2 of a meter in centimeters?\nAnswer: 4850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 959*l**6 - 150030*l**2 wrt l?\nAnswer: 115080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -223, -802, -1759, -3088, -4783, -6838?\n\"Answer: z**3 - 195*z**2 - z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d = 3*f + 21, 0 = 4*d - f - 13. Let l be (-60)\/(-8) - 2\/4. Solve -1 = -d*g - l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 11*f + 39*f + 133 + 118.\nAnswer: 50*f + 253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kyhyyaybhhyhhkay. What is prob of sequence bkyy?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 bigger than -25718\/1863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2, 1\/123, -0.3, 65, -0.5, -1, -2\/27?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1456 + -0.16. Round l to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) + 77\/4. Suppose -1251 = 1657*p - 1676*p + 3442. Calculate the highest common factor of x and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4208627243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*i**2 - 95*i**2 - 203*i**2 + 26*i**2.\nAnswer: -329*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41695, 83360, 124995, 166600, 208175?\n\"Answer: -15*o**2 + 41710*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/4)\/((-6)\/1))\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30471.78l in millilitres?\nAnswer: 30471780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.34 or -2161?\nAnswer: -2161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1229, -4421, -9751, -17219, -26825?\nAnswer: -38569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggd when three letters picked without replacement from {d: 3, g: 11}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from coczeyed. What is prob of picking 1 c and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-z**4 + 0*z + 0*z + (2*z**3 - z**3 + 0*z**3)*(0 + 0 + 2*z) + 8*z**3 - 8*z**3 + 2*z**4)*(9 - 9 - 4*z).\nAnswer: -12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 173.55998257 - -0.48\nAnswer: 174.03998257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -86b + d?\nAnswer: -85e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a = -9. Suppose -4*z = 2*f + 32, a*z = f + 6*z + 21. Does 14 divide (-1)\/2 + (-129)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h**2\/9 + 1300*h\/9 + 13072\/9 = 0. What is h?\nAnswer: -19\/2, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28, -46, -50, -28, 32, 142?\n\"Answer: 2*s**3 - 5*s**2 - 17*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -26, -1, 65, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 5*x - 2. Suppose 3 = 5*l - 7. Let u be o(l). Suppose -u*k + 106 = -2*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -77, -2, 10.723?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**3 + o**2 + 6*o. Let q(b) = -11*b**3 - 4*b**2 - 16*b - 1. Let l(h) = -8*m(h) - 3*q(h). What is l(-5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354911563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, y: 5, v: 1, o: 1, r: 3}. Give prob of picking 2 j and 2 y.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*c - 61. Suppose -2*u - 3*v = -46, -v = -4*u + 3*v + 92. Let s = 32 - u. What is the greatest common divisor of c and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603569570 to the power of 1\/2, to the nearest integer?\nAnswer: 24568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 227\/5 in 5, 3, 0, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30518037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 20*n + 200. Calculate the remainder when 192 is divided by d(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-178632)\/(-1654)*(-2)\/(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 638 = 361 + 439 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-185)\/148*-2*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-952)\/138 - 6\/9. Let a = t - -2137\/322. Calculate the common denominator of 77\/4 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6342023 to the nearest integer?\nAnswer: 2518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*a**2\/4 + 14*a - 1.\nAnswer: (a + 2)*(29*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**5 - 1116*x**4 - 21*x**3 - 562897*x?\nAnswer: -20*x**3 - 13392*x**2 - 126*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(8\/7)\/((c\/c**(2\/3))\/c))\/(c*c\/c**(2\/3)*c*c*c*c)**28 assuming c is positive.\nAnswer: c**(-3098\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*(sqrt(132) + (sqrt(132) - (2*sqrt(132) - sqrt(132))*-2)))\/(sqrt(12) - sqrt(96)\/sqrt(32) - sqrt(1728)*-1))**2.\nAnswer: 2816\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*h = 120*h - 12 - 18. Solve 5 = -2*c - p + 2, -c - h*p - 6 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-18)*(-2)\/(-16)*(1008\/(-320))\/7.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -17*a + 4. Let c = -7 + 13. Let m(w) = -4*w + 1. Let z(x) = c*k(x) - 26*m(x). Let n be z(3). Solve 0 = -2*y + 5*i + 11, 5*y + 0*i = n*i + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*q + 2*i - 1518, -5*q - i = -1519. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -0.14971?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 57272897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/14 and 64\/847.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*v**5 + 1561*v**4 - 72*v**2 - 9216*v + 2221 wrt v?\nAnswer: 1100*v**3 + 18732*v**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011100111101110 + -1?\nAnswer: 1110011100111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 4*sqrt(3)*3 + sqrt(3) + sqrt(48)\/sqrt(4) + sqrt(12) - 1*(sqrt(21)\/(-1*sqrt(112)))**2.\nAnswer: -3\/16 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 65*v**2 - 3*v - 3. What is the remainder when m(-1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 7*g + 49. Give h(16).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 1772*b - 377709. Give l(-357).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18312, -36616, -54914, -73206, -91492, -109772, -128046?\n\"Answer: 3*d**2 - 18313*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 13*b + 9. Let d be m(-11). Let w = d - -30. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 565 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 7261486*o - 13182294732049.\nAnswer: -(o + 3630743)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f. Suppose -4*a = -2*o + 6*o - 32, 5*a - 12 = -o. Let k(c) = -1 + c + 8 - o. Give k(y(v)).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23*61 + -4 + 15 + -6.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 250 and -717.\nAnswer: -179250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*h**2 + h**3 - 59*h**2 - 13*h**3 - 8*h = 0. Calculate h.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 21 - 13 = 2*p, 2*p = t + 11. Sort -2, -3, 2, t in descending order.\nAnswer: 2, t, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -728.95 - -729. Sort 1\/11, 3.8, g in increasing order.\nAnswer: g, 1\/11, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxcxffxfcddcdc. Give prob of picking 2 f and 1 d.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 54012.84cm?\nAnswer: 540128400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 495 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukpu when four letters picked without replacement from {p: 1, k: 7, u: 12}.\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11192087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.36 + 406.36. Let m be 2\/13 - (11223\/(-754))\/43. Is m at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10 = -10*f, -4*f + 10347 = 5*k. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(450) + sqrt(450))\/((sqrt(54)\/sqrt(3))\/sqrt(2)))**2.\nAnswer: 11250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 10 = -6*k. Let s = -8 - -4. Sort k, s, -3.\nAnswer: s, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -21.33 (b) -1\/2 (c) -37 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/46 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 59. Let a = 127 + -37. What is the remainder when a is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*u + 163*u + 160*u - 676 + 2946 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Suppose 2*r - 7 = s. Suppose -r*n = -0*n - 75. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/14)*u**(-11))**(-23) assuming u is positive.\nAnswer: u**(3565\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18982253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 5*w + 12. Determine j(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22163 + -4?\nAnswer: -22167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/7)\/(4\/(-8)). Let u be 188\/120 - 1\/1. Let v = u + -2\/5. Which is the nearest to l? (a) 1 (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/4)*x\/(x\/(x\/((x\/((x*x**10)\/x*x))\/x)))*(x**2\/x)**(18\/11) assuming x is positive.\nAnswer: x**(633\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1876)\/133 - (-4)\/38. What are the prime factors of 4\/14 + (-1186)\/w?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2354*g - 2000. Let w(r) = -4720*r - 3998. Let m(o) = -9*h(o) + 4*w(o). Differentiate m(v) with respect to v.\nAnswer: 2306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22752 (base 8) to base 12\nAnswer: 574a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26827269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-15))\/((-35)\/(-16625)*-15)*2*-1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 64 = 49, d = -2*p - 277990. Round d to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 - -120. Let i(q) = -10*q**2 - 6*q + 6. Let p(w) = 29*w**2 + 17*w - 17. Calculate x*p(d) + 17*i(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2. Let c be q(-1). Let s = c + 0. Suppose o + s*z = -3, -2*z + 6 = 2*o - 0*z. Let y(h) = 2*h - 4. What is y(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-81))\/(399\/(-342)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 - 2*i**4 + 1 - 16*i**3 - 4*i + 18*i**3 + 4*i**2 to the form p*i + n*i**4 + g*i**2 + q + w*i**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 41*a**2 - 12*a + 75. What is the tens digit of h(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/6 + 67923*h\/2 + 2546175.\nAnswer: (h + 75)*(h + 203694)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33078219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 6*u - 63 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 - -1 - (-26 + 29))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a5 (base 14) in base 6?\nAnswer: 25001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1113 rounded to 3 decimal places?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 190*r - 2937. Let d be j(17). Solve 28*b + s = 27*b + 3, d = s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/5 and (3\/8)\/(2416326\/199144).\nAnswer: 11810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 665 + 667 - 1332 + 30*i**2. Let h = -9 + 5. Let d(a) = 3*a**2. Give h*j(v) + 42*d(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-6032)\/(-56) + 4*2\/28 and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1802 take away 2793673?\nAnswer: -2793672.8198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) - ((-1191)\/261 - -5). Let y = -35\/58 - p. What is the second biggest value in y, 3\/5, 21?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16097 - -16097.5. What is the nearest to 1.8 in y, -4, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4034500, -4034679, -4034858, -4035037, -4035216, -4035395?\n\"Answer: -179*k - 4034321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/3 and -8\/139?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -25623 divided by 25623\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -8\/7, 0.2, 1.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((1*sqrt(120))\/sqrt(12))\/(-6*(sqrt(2) - sqrt(2)*2)))**2 - (sqrt(45) + -4 + 0 + sqrt(15)\/sqrt(3) + sqrt(5))).\nAnswer: -20*sqrt(5) + 149\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 7440*q + 967216.\nAnswer: -4*(q - 1982)*(q + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.15 + -24.3. Let z = s + 0.25. Let t = z - -23. Which is the smallest value? (a) -1\/6 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/21 + 3\/35. Let d = -0.2 - 0.2. Suppose -5*w + 0*w - 20 = 0. Sort w, a, d in descending order.\nAnswer: a, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 7*y**5\/20 + y**3\/6 + 6*y - 13. Let x(g) be the first derivative of r(g). What is the second derivative of x(v) wrt v?\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04928 + 0.95072. Let c be 4\/2*3\/16. What is the second smallest value in 3, c, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.057 - 0.067. What is t rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**3 + 14*s**4 + 4*s + 4*s**3 - 16*s**4 + 2*s**2 to the form r*s + l*s**3 + o + q*s**4 + p*s**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 149455\/6 greater than or equal to 24909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 9*k = -8253. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 14. Let z be -5*1\/s - (-5)\/1. Suppose -4164 = -6*f - z*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4 = -2*u, 3*f - 71 = -2*u. Let x = f - 20. Suppose -4*q - 3 = -x*q. Solve -12 = -4*t + 4*g, -q*t + 2*g + 2 + 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67216315 to the nearest integer?\nAnswer: 8199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*j + 111*j = 5*p + 1423, -3*p - 881 = 5*j. Let n = 300 + p. What is the remainder when n is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d + 2799 = 2863 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmtmmmmtmmttt. What is prob of sequence ttt?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -107*i**2 + 3*i + 4. Let h(a) = 105*a**2 - 4*a - 6. Let f(v) = -2*h(v) - 3*m(v). Let g(q) = 3*q. Determine f(g(y)).\nAnswer: 999*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10963342 divided by -247\nAnswer: -44386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 7*c = -8*c - 6, -4*s + 4*c + 8 = 0. Solve -3 + s = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + 2d7486?\nAnswer: 2d746e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11*h + 7. Let p(x) = -12*x + 8. Determine -3*a(k) + 2*p(k).\nAnswer: 9*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k - 1250. Let u(m) = -4*m - 627. Give -2*p(d) + 5*u(d).\nAnswer: -2*d - 635","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820 is divided by 410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*w - 4*w. Suppose -j = 5*m - 141, 4*m - 2*j = 3*m + w. Suppose -5*o = -55 + 5. Calculate the remainder when m is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*f + 147 - 17, 4*f = 0. Calculate the least common multiple of d and 11.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/2*12\/(-18). Let h = y + -17\/5. What is the closest to h in 0, 0.2, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246207561.\nAnswer: 13, 821, 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 87, 119, 171, 249, 359, 507, 699?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*j + 152 + 44*j + 54*j - 4*j**2.\nAnswer: -4*(j - 19)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1070*y**2 - 7*y - 19. What is h(2)?\nAnswer: 4247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let h(w) be the second derivative of 1\/12*w**4 + 0 - 14*w + 1\/2*w**2 + 0*w**3. Determine h(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -1\/3*o**3 + 0*o**2 - o + 0. Let h(k) be the second derivative of k**3\/6 + 3*k. What is h(n(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*r - 7, 222*k + 5*r - 17 = 225*k. Is k > -24\/157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-8 + 4)) + 2. Let j be 1562\/77 + (-2)\/7. Calculate the greatest common factor of z and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 m when three letters picked without replacement from mdcdccdc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -2*sqrt(171))*2.\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/54)\/((-2)\/(-12)*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -32 + 11. Let b(c) = 1 + 20*c - a + 14 - 2. What is the tens digit of b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 10:43 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-5))\/(-4)*(-12525)\/835?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-1)\/1 + -2. Let j be 15\/(-18)*d*6. Suppose 4*c - 5*c + j = 0. What is the highest common divisor of 10 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31e472 (base 16) in base 7?\nAnswer: -36535534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 60, 138, 248, 390?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*h + 297 + 207 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26896, -26897, -26898, -26899?\nAnswer: -26900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6 = 3*n, -5*n + 20 = -3*q - 2*q. Let j = -181 - -116. Calculate the remainder when n is divided by 2\/(-6) + j\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/11)*g)**(-2\/11)\/(g**(-2)\/(g*g**(-18))))**(-18\/7) assuming g is positive.\nAnswer: g**(4734\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -102, -156, -236, -348, -498, -692, -936, -1236?\n\"Answer: -a**3 - 7*a**2 - 26*a - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4486 + -4491. What is the nearest to -0.18 in -2\/7, n, 3, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x - 4. Let s(a) = -4*a + 3. Let k(o) = 5*h(o) + 6*s(o). Suppose -4*i - 2*p + p = -16, -2*p = 2*i - 8. Calculate k(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 0. Let o(y) = -2*y + 2. Let j(t) = t - 1. Let i(m) = -11*j(m) - 6*o(m). What is the units digit of i(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 168\/60 - (6 - (20\/(-15) + 6)). Suppose 3*o - z = 0, 0*o - 3*z = 3*o - 12. Which is smaller: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 4*a + 0*a + (-2 - 2 + 3)*(-2 + 2 + 5*a))*(2 - 5 + 4).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7597 or 1084?\nAnswer: 1084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 24?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148547 is divided by 1116?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n + 587*n**2 - 18 + 21*n - 567*n**2 + 16.\nAnswer: 20*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 2292144 and 2292146 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -20*x**2 - 2. Let o(l) = -10*l**2 - 3*l**2 + 13*l**2 - 2*l**2. What is o(a(t))?\nAnswer: -800*t**4 - 160*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*a**2 + 1 + (0*a + 0*a + 4*a)*(-4*a + 6*a + 0*a) - 4*a**2 + 0*a**2 + 5*a**2 + (a**2 - 2 + 2)*(-3 + 0 + 1) as m*a + x*a**2 + g and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4645670*j - 9547133 wrt j?\nAnswer: 4645670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 6 - 16)*(-3 + 2 + 2)*(2*a + a + 2*a) to the form k + j*a and give j.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 270 (base 8) to base 9\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26000692 to the power of 1\/2, to the nearest integer?\nAnswer: 5099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -133355732, -266711464, -400067196, -533422928?\n\"Answer: -133355732*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -22, -39, -50, -49, -30, 13?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 6070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 13)*(-4)\/(-23 + -1). Solve 2 = -q - b, -5*b + 0 = k*q - 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 5*k - 6, 113*i - 33 = 108*i + 4*k for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19392, -19970, -20548, -21126, -21704, -22282?\n\"Answer: -578*h - 18814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/64 and 151\/1152?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 3)\/((-1)\/(-3)). Let c(h) = 4*h. Let k(j) = -5*j. Let u(b) = -4*c(b) - 3*k(b). What are the prime factors of u(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/((-20)\/376))\/(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8888.855 centuries?\nAnswer: 88888.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 59292\/46903 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037544 to four dps.\nAnswer: -0.0375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2 + 455*i + 227 = 0. What is i?\nAnswer: -227, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17800 divided by -10?\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/21725 and 1\/1353033?\nAnswer: 33825825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9861.646l?\nAnswer: 9861646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3851705 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4212619989 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 5*y - 1. Let o be k(6). Let t be (-23)\/(-4) + (-2)\/(-8). Solve -o*l + 3*r + t + 4 = 0, -2*l + 3*r + 13 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*t + 7. Sort 1, 0, t in increasing order.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = 2*w - 48. List the prime factors of (-64)\/(3 + (-13)\/w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**4\/4 - p**3 - 3*p**2\/2 + p + 115. Let b(c) = 5*c. Let j be b(-1). Let w = 7 + j. What is u(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 0. Let d = -119\/4 - -373\/12. Let s = d - 5\/6. What is the nearest to c in 1\/3, s, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-30)\/12) + (42\/(-4) - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*(a**(3\/5)*a)\/a)**(-13)*a*(a*(((a\/(a*(a\/(a**(-1\/15)*a))\/a))\/a*a*a)\/a)\/a)\/a*a\/(a*a**4\/a*a)*(a**2)**31 assuming a is positive.\nAnswer: a**(-208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 21 = -5*u + 3*h, u - 2*h = 0. Calculate the least common multiple of 14 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1948*n**5 + n**4 - 15691*n?\nAnswer: -38960*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -199*n - 237. What are the prime factors of p(-8)?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18482*m - 429 = 18495*m for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 448 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 95*f + 90*f = -92*f + 273*f + 157, -19*f = -722 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -17. Suppose 2*h + h + 21 = l, x*l + 5*h - 91 = 0. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - u**2 - 18*u + 1 + 3*u. Let t be y(-10). Let i(l) = 214*l - 1. Is i(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 8*h**2 - h - 5. Let v be (-84)\/(-63) - (-364)\/(-39). What is s(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14967*c**2 + 4979*c**2 + 4977*c**2 + 5012*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z - 70*z + 107 = 0. Which is the fourth biggest value? (a) z (b) -2\/9 (c) 1.06 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 31*b + 40 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 - ((-16 - (12 + -23)) + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348075 and 434070?\nAnswer: 36895950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*r - 8671 = -3*n, -3*n = r - 8687. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/13 + 10690*g**2\/13 - 14279166*g\/13 - 14289858\/13 = 0?\nAnswer: -1, 2673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.2 (c) -2\/77 (d) 0 (e) -6085\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + -178. Let m = -72.000079 - i. Round m to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/6*2\/(-210)*-21?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9 = -s, -s - 3*b = -4 - 9. Let t = 4 - s. Solve 0*g - t*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.9 - 7. What is the nearest to -0.1 in 2, r, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p - 25 = 0. Let d(x) be the first derivative of x**4\/4 + 8*x**3\/3 - 9*x**2\/2 - 4*x + 161. What is the remainder when d(p) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 1287767.\nAnswer: -1\/99059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*m + 18*m - 104. What is the greatest common divisor of m and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**3 - 3*s**2 + s - 2. Let r be j(2). Let a = r + -8. Solve t + 2*v = a*t - 10, 0 = t - v - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -12197234.\nAnswer: 5\/12197234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 119*f + 655. Let c be y(-5). Calculate the highest common factor of c and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 78936058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*v - 3*v**2 - 41*v + 106*v.\nAnswer: -3*v**2 + 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4024581551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -95.45?\nAnswer: 95.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2912076 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (4 + 5)) + 27 + -47?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 13*h**7\/2520 - h**4\/24 + h**3 - 51*h**2 + 3*h. Let c(x) be the second derivative of q(x). Let z(f) = -4*f. What is c(z(s))?\nAnswer: 208*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 + 17*f + 4. Suppose -3*v - 3 = -4*v. Let w(r) = -r**2 + 6*r + 1. Let j(b) = v*o(b) - 8*w(b). Is 17 a factor of j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-112)\/10*95\/(-38). Let t(l) = -l**2 + 38*l - 9. Is 30 a factor of t(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 285677.6 days?\nAnswer: 24682544640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/93 + (-653)\/(-31). Solve -i*v + 16*v - 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*v - 47*v = -392. Let x(u) be the first derivative of 6\/5*u**5 + 20*u**2 + 8*u - 4 + 8*u**v + 58\/3*u**3. Let x(l) = 0. Calculate l.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*d + 36*d + 17*d)*(-5 - 6 - 4 + 4).\nAnswer: -352*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 503*q**2 + 8*q + 2. What is the thousands digit of r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 + 55*q**2 - 40*q - 100 = 0. What is q?\nAnswer: -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (23*1*-1)\/(-16 + 15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*y - 20 - 130 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 73 = -0*z + d, 0 = 2*z + 2*d + 82. Let b = z - -43. Suppose -83 = -2*x + 5*l - 8*l, x - b*l - 61 = 0. Is 46 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718738190?\nAnswer: 2, 5, 89, 807571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4659 minus 5?\nAnswer: -4.5341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - -192. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -11?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -y + 4*g, 52884*y - g = 52887*y + 24 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {m: 4, e: 4, h: 4, k: 2}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 5:40 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -73, -207, -455, -853, -1437?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-6))\/(-115 - -109). Which is the closest to 0? (a) j (b) -0.5 (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3)\/(p**(-6)*p))\/(p*p\/(((p**2*p)\/p)\/p))**(-29\/4))\/(((p\/(p*p\/(p*p**(1\/3))))\/p)**(-43))**(-2\/101) assuming p is positive.\nAnswer: p**(15131\/1212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -32. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -378*k**2 + 748*k**2 - 381*k**2. Let n(u) = -u**2 + 0 + 0. What is q(n(g))?\nAnswer: -11*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2 - 11. Let d(l) be the third derivative of l**5\/60 - l**3\/6 + 299*l**2. Give -6*d(u) + t(u).\nAnswer: -2*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = 131*l - 3585 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-911*v + 1906*v - 643*v)*(0*v + 0*v + 2*v) to the form t*v**2 + f*v + h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*v + 0*v + 44 = 0, -3*v = -5*k + 63. Suppose 17*p = -330 + 1146. Calculate the greatest common divisor of k and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and -3 + (1\/4 - (-189)\/28)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.204 - 0.004. Let k = 5.7 + -0.7. Let o = 6.8 - 7. Sort k, o, h in increasing order.\nAnswer: o, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -37, -2, -825?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(57)\/(-4*-1*sqrt(3)))**2 + (1*sqrt(171) - (-4 + 2 + sqrt(19))).\nAnswer: 3\/16 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, m: 3, i: 3, t: 1, g: 1}. Give prob of picking 1 i and 1 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - -24) + -2 - -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1220*t + 12112 - 36329 + 12112 + 12105.\nAnswer: 1220*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x = -18*x - 78 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 - -34?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssp when three letters picked without replacement from {q: 2, p: 4, s: 5}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0*q - 8. Let z = -515 - -543. Suppose -c + z = 4*n, -4*c + n + 70 + 8 = 0. Calculate the greatest common factor of q and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 16 - 3) + 223 + -188?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/50)\/(1\/(-5)). Let g = 1 - 0. Let v be ((-1)\/(-2) - g)*-8. Solve -v*s = -3*s - x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-66)*-135*((-16)\/15)\/((-52)\/(-78))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 255, 0, -3 in descending order.\nAnswer: 255, 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:33 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3121 - 2*f + 7034 + 3*f**2 - 3913 + 2*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10*v**2 - 1579*v**3 + 3121*v**3 - 1513*v**3 in the form f + m*v**3 + i*v**2 + y*v and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0)*(-14)\/77. Let h = -1\/4 - -3\/4. Which is the third smallest value? (a) 3\/8 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4955 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 0 + 0*t + 1\/8*t**4 - 11*t**2 + 0*t**3 + 1\/20*t**5. Factor o(f).\nAnswer: 3*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*s - 45 = -2*s, 5*s = 25. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14611000 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*15\/(-2) + 3. Let g = u + -16. Solve d = 5*m - 3*d + 12, g*d = 2*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, 20, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -19. Let w(t) = 53*t**2 - 41*t + 7. Let d(j) = 35*j**2 - 27*j + 5. Let m(g) = a*w(g) + 7*d(g). What is the second derivative of m(v) wrt v?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7166260709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 55 - 62 = 0. Suppose 0*u = -3*u - d + w, 4*d = 3*u - 132. Solve 5*h - 15 = -x - u, 0 = 3*x + 5*h + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.10645 - -0.0092. Let d = 0.0965379 + i. What is d rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 51*f**2 + 5*f + 2. Let y be x(-1). Suppose 43*v - y*v + 470 = 0. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -268806412 or -268806415?\nAnswer: -268806415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-732)\/30 + 540\/225*10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -102 and -0.8.\nAnswer: -102.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -277*a**3 + 557*a**2 + 11*a - 29. Determine j(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/(-4617)*180\/(-150).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47299 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -5*j**3\/2 + 4*j. Let s(p) = p. Give s(g(u)).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g + 848. Suppose -g = -3*n + 4*o, n = -3*n - 4*o + 264. Suppose -25 = -3*z - 2*t + n, -z + 31 = 5*t. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + 2.5. Let y(f) = f**2 + 3*f - 15. Let t be y(-6). Suppose t*i - 2 = -4*o + 6*i, -3*i = -3*o. Sort o, b, -0.4 in descending order.\nAnswer: b, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.3 + -3.3. What is the closest to y in -1, -3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**3 - 439*n**2 - 99*n - 1704. What is q(63)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59499.\nAnswer: 3, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.07 and -6282640098.\nAnswer: -6282640091.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 916182*r**2*v**2 + 796*r**2*v - 221*r**2 + v**2 wrt v.\nAnswer: 1832364*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + g - 94, y + 5*g = 3*y - 82. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5123?\nAnswer: 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 + 2*p. Let w(n) = -8*n**2 + 8*n. What is 9*j(q) - 2*w(q)?\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + x**2 - x + 3. Let q be k(0). Solve 11*p**3 - q*p**5 + p**5 + 5*p**2 - 5*p**3 - p**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1824 and 362064?\nAnswer: 724128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/462 and 109\/184338.\nAnswer: 184338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880250 less than -2\/187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by 28331.\nAnswer: 1\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 + 10119245 + 29*s - 10119245.\nAnswer: 9*s**2 + 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from tqztezqetezttbq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -24*p + 1. Calculate the remainder when u(-3) is divided by 8177\/481 - (0 - 12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 8*w + 2. What is f(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 - 5*d**2 + 64)*(0*d - 2*d + 0*d)*(2 - 2 - 2*d**2).\nAnswer: -20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 379 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -2*s**3\/9 + 29*s**2\/3 + 20*s + 483. Let y(k) = 0. What is k?\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87975*n**3 + 142943*n**3 + 2 - 2.\nAnswer: 230918*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1315 and 1382065.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-163)\/(183701\/(-98)))\/((-5)\/((-30)\/8))\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l**2 - 12*l + 2. Let j(p) = 4*p**2 + 6*p - 1. Let a = 2 + -7. Let r(z) = a*j(z) - 3*h(z). Calculate the remainder when r(4) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 19, -1, -41, -107, -205, -341, -521?\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/20, 3\/8270, -2\/3, -0.4 in increasing order.\nAnswer: -2\/3, -0.4, 3\/8270, 3\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 9*n - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -904435, -1808868, -2713301, -3617734, -4522167, -5426600?\n\"Answer: -904433*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15218 - -15312. What is the greatest common factor of d and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(2*sqrt(448) + -1))**2 - ((sqrt(448) - 1*2*sqrt(448)) + -4 + 4)**2.\nAnswer: -194092 + 3456*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1111 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (31\/(-7) - -9)*(6 - 2)\/(4 - 2). Factor 20\/7*r**3 - 2\/7*r**4 + 16*r - 72\/7*r**2 - b.\nAnswer: -2*(r - 4)*(r - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15 = 0, 20*h = -2*r + 17*h + 3243. List the prime factors of r.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 0.01, -4\/5, 0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 w when three letters picked without replacement from wowpoowoopowooow?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(32*31\/12896).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w - 37. What is m(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 344900609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9016955?\nAnswer: 5, 263, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -17) + (174 - 219).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 609.8546 and -67.\nAnswer: 542.8546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnoonhnohhjhjnohn. Give prob of sequence oho.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2478\/75 - (-20)\/(-500). Solve -u*t + 12 = -39*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43 or -1070?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q - 21 = -3*b, 5*q + 25 = 3*b. Let d be (-6)\/q + 5\/(-5). Let y be (d\/1)\/(7 + -9). Sort -5, y, -4 in descending order.\nAnswer: y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 42*m**2 + 18*m - 308. What are the prime factors of s(29)?\nAnswer: 71, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4*l - 39 + 3 = 0, 4*o + l = 3*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y. Suppose -16*o + 20*o = 0. Suppose o = 2*k - 8*k + 30. Let s(p) = k*p - 20*p - 19*p - p. Determine z(s(w)).\nAnswer: 35*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 4. Let v = 11 + n. Let q be (-14)\/(-1) - (-2 - -1). Calculate the greatest common factor of q and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 10*w**2 - 40*w + 74. Calculate o(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, q: 7, u: 4, x: 2, p: 2}. Give prob of sequence uqp.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 3*t + 16. Factor -7*l**2 - l**3 - 25*l - 9*l**t - l**3 - 14*l**2 - 3*l**3.\nAnswer: -5*l*(l + 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 3*j**4 - 2*j**4 + 2*j**2 + 18*j**4 - 1 to the form u*j**4 + i + x*j**2 + n*j**3 + w*j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -5 + -5 + -1 - (24 + 0 - -17)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1174*o**5 + 2*o**4 - 596*o + 9.\nAnswer: 23480*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 220\/2 + (81 - 81) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(12)*-1*-1) - (1 + 4*sqrt(125)).\nAnswer: -19*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 14*l**3 + 13*l**3 - 3*l**2 - 22*l**3 + 7*l**4.\nAnswer: l**2*(l + 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72*31\/279*-3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15\/8 (b) -0.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83625 by -27875.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-10))\/((-1)\/(-5)). Let n = 0.184 + -0.084. Suppose 3*j + 25*j = 0. What is the closest to c in -0.4, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 2*m**2 + 5*m + 1. Let b(l) = -l - 1. Give -b(t) - v(t).\nAnswer: -t**3 - 2*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -24*j + 3280. What are the prime factors of j?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 - -116. Calculate the greatest common factor of 10 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 + (-100 - -133) + -77.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000081125 to seven decimal places.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**23\/z*z)\/z**(-10))**27 assuming z is positive.\nAnswer: z**891","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -30 in ascending order.\nAnswer: -30, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 277 + -236. What is the greatest common factor of v and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (90315\/81 - (-5)\/(-1)). Calculate the greatest common divisor of 27 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*v - 4 = 0, -4 - 3 = -c - 2*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2244352 to three decimal places.\nAnswer: -0.224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/15356 and -17\/2110?\nAnswer: 16200580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, y: 8}. Give prob of sequence ykyy.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/(-6)*-3 + 86\/8 and 62\/207.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c - 65. Suppose 0 = 3*p + 4*d - 79 - 225, 4*d = -p + 112. Let w = p + c. What is the remainder when w is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11127269 to the nearest integer?\nAnswer: 3336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2267611898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 - 46. Let c = -78 + q. Suppose 3*m + 1 = -3*t + 2*m, -5*m - 5 = -4*t. Solve t = -c*j + j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 22*g**2 - 22*g - 19. Let s be u(-21). Sort -2, 4, -4, s, -22 in descending order.\nAnswer: 4, s, -2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.65086 + -3.65086. Let n = 1\/3 - 7\/30. What is the closest to l in -1, n, -0.02, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j = -m + 61, m + 5 = 0. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1412762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6624397 to the nearest integer?\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x - 26. Let o be q(3). Let y(g) = 3*g + 20. Let m be y(o). Solve -c + 0 = -m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2. Let p = -66 - -70. Suppose -p*m = -156 - 44. Let s(t) = 6 - 11 - 8 + 48*t - m*t. What is d(s(z))?\nAnswer: -8*z**2 - 104*z - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20024 + 4?\nAnswer: -20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 4568.\nAnswer: 22840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-109) - 118105\/602770.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2. Let i = 9 + -7. Let q(r) = 0*r + 0*r + i*r. What is t(q(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n - 8 = 0. Suppose -2*t - 6 = -k + 14, 3*t - 5 = -n*k. Let u be ((-2)\/k)\/((-4)\/(-20)). Sort 1, u, -2.\nAnswer: -2, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, b: 1, d: 1, j: 4, r: 2, k: 1}. What is prob of sequence jkjr?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 2*j**7\/315 - 25*j**4\/6 + 2*j - 28. Let o(u) be the third derivative of v(u). Let t(i) = -2*i**2. Give t(o(w)).\nAnswer: -512*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + (-7 - -13) + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1097017*x. Let r(s) = -7*s**2. What is r(m(v))?\nAnswer: -8424124088023*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-3)\/(-8))*15\/2. Suppose -7938 = -y*v - v. Is 42 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 928 and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9964309 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + m**4 + 33*m**2 + 178*m**3 - 6*m**4 - 180*m**3 + 4*m**4 + 6 in the form n*m**4 + t + y*m**2 + i*m + w*m**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g - 147 = -3*k, 0 = -2*g. Suppose 0*d - 3*d + 5*w - 53 = 0, w - k = 3*d. Does 5 divide (-1 - d)*3\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -451, -817, -1275, -1825, -2467, -3201?\nAnswer: -4027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k*k*k*k**(-1\/19))**5 assuming k is positive.\nAnswer: k**(280\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 39*p**5\/20 - 3*p**4\/2 - p**3\/6 - 27*p. What is the third derivative of r(v) wrt v?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 0, 3*k + 0*k + 3 = 5*j. Let c be (-1)\/(-3) - (-46)\/69. Put c, k, -3 in decreasing order.\nAnswer: c, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 9:46 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -70565 + -4?\nAnswer: -70570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 0, 848*b - 847*b + 3 = -2*u - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.65 + 153.15. What is m rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -282*h**5 + 1724*h**3 - 836009*h**2 wrt h?\nAnswer: -16920*h**2 + 10344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = -2, 2*q + 3*o - 77 = 0. Solve q = -15*k + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3297 - 0.321188. Round p to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2187 - 320 + 61)*(-d + 3*d - 5*d - 3*d) to the form b + a*d and give a.\nAnswer: 14676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 26*q + 28*q + 5*d + 57 = 59*q, -q + 14*d = -122 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 2 + 7 - 3 - 4 to t + o*r + f*r**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**5\/60 + 2*l**4\/3 - 7*l**3\/6 - l**2 - 138*l. What is b(5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3 - 0. Suppose 2*j + s = -14, -3*j - s - 22 = -m. Let v(h) = h**2 + 4*h - 2. What is the units digit of v(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/2)*t)\/t)\/(t*t*t\/t**(-1\/3)*t)*t**3*t*t*t*(t*t**5*t)\/t)\/((t**5*t*t*t*t**(3\/4)*t*t*t*t)\/(t*t**1)**(1\/52)) assuming t is positive.\nAnswer: t**(-709\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-15))\/(18\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4))**47)**(3\/16) assuming n is positive.\nAnswer: n**(-141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 402.\nAnswer: 1\/402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4981189 * 0.5.\nAnswer: -2490594.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54809504*d**2*n**3 + 33*d**2*n + 7*d**2 - 14*d*n**2 - 2*d*n + 14*n wrt n.\nAnswer: -328857024*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5291132*b - 5291113*b - 1140 = 0 for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35664949 or -35664948?\nAnswer: -35664949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + (22 - (131 + -67))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 73\/3, -0.3, -328?\nAnswer: -328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*i - 12, -93*i + 96*i + 5 = 5*a. Let z(k) = -6*k - 2. Let y(c) = -5*c - 3. Give a*z(q) + 3*y(q).\nAnswer: -3*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1217?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 48 (b) -3\/37 (c) 3 (d) -1\/2 (e) 0.0104 (f) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -133, -132, -131?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 11 = 2*y - 35, -3*h = 3*y - 30. Suppose -7*f - 2867 = -y*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78490 and 10340?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s. Let c(g) = -95049*g**2. What is c(l(b))?\nAnswer: -6083136*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1 + (31 - 26). Suppose -3*t + z = -62, -3*z + q = 1. Solve 3*s - 4*m = -26, -5*m = s + s - t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 - -27. What is the remainder when (-1232)\/(-10) - (g\/60)\/(-4) is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 620 and 860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8123 is divided by 4058?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 - (-12 - -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1999 times -562918\nAnswer: 1125273082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15721813 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -19 - 31469*g + 31440*g - g**2 - 18. Calculate t(-26).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 23, 3\/4, 12, 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -14 + 0 - ((39 - 46) + 15)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from {k: 6, c: 3, y: 2, o: 4, b: 2, a: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12090)\/(-26) - 1\/(2\/10) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.913 + 4.087. Is s at least as big as 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22889*b**3 + 2830*b**3 + 67532*b**3 + 39907*b**3.\nAnswer: 133158*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u - 2*f + 42 + 15 = 3*f, -4*f - 2 - 26 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(sqrt(425) - (sqrt(425) + (sqrt(425) + sqrt(425)*1 - sqrt(425)) + sqrt(425) + 1)) - ((3*(sqrt(425) + 2))**2 + (0 + 2*sqrt(425))**2)).\nAnswer: -5561 - 170*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9215770.\nAnswer: 2, 5, 787, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -14. Let l = o - 41.5. Which is the third smallest value? (a) 4\/3 (b) l (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -139*a*c*g**2 - 434*a*c + 2*a*g**2*z + c*g**2*z + 2*c*g + 433*c*z - 10*g + 1 wrt a.\nAnswer: -139*c*g**2 - 434*c + 2*g**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q + 2*q + 0*q)*(41 - 1 + 221)*(0*q + 2*q + 0*q) to y*q**2 + z + d*q and give y.\nAnswer: -1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**15\/x)))\/x)**(-18)*((x*x\/(x*x\/(x\/x**(-13)*x)))\/x)\/(x*x\/x**(1\/2)) assuming x is positive.\nAnswer: x**(-443\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021011 (base 6) in base 3?\nAnswer: -11212212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61004 = 5*i + 3*p - 61090, -5*i + 3*p = 106 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 467893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - ((2 - 3) + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 2*w**2 + w + 1. Let x be c(-2). Let p be x\/(-1)*(-6)\/(-2). What is the third derivative of -11*s**p + s**2 - 2*s**4 + 11*s**3 wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 7*o + 13. Let w be t(5). Suppose -6*z = 2*q - w*z - 46, -4*q + 3*z + 74 = 0. Solve 3*j - 7*j + q = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -261 + 273. Let v be (1*-3)\/((-9)\/(-6)). Calculate the smallest common multiple of ((-2)\/v)\/((-1)\/(-22)) and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181549 is divided by 25934?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59\/15 + 13\/3. Let m = -1\/5 + 3\/40. Put m, y, 2 in increasing order.\nAnswer: m, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**7\/42 + x**6\/6 - x**5\/4 - 35*x**4\/12 - 20*x**3\/3 + 5*x**2. Factor l(q).\nAnswer: 5*(q - 2)*(q + 1)**2*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509682859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 11*l - 1. Give o(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - k**2 + k + 11. Let b be j(0). Suppose 2*y + h + 2 = 5, 0 = -5*y + h + b. Solve y*l + 6 = -2*p, 2*l - 6*l + 3*p + 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -18*z + 2580. Let s = -442 + z. Does 27 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/13 - 2\/(-13). Suppose 4*x - h*o - 1178 + 306 = 0, 3*x = -2*o + 649. What are the prime factors of x?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6794912 and -12568529.\nAnswer: -5773617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1.5. Let w = 6\/17 - -50\/51. Let m = -76421\/191045 - -3\/191045. Which is the closest to -0.2? (a) l (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -456954\nAnswer: 1\/456954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*i = -214 - 56. Put -5, 0, i, -31 in decreasing order.\nAnswer: 0, i, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y = 44. Are -11 and y unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1859*c - 27957. Determine m(-15).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7584696665 minus 0.3?\nAnswer: -7584696665.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 0, -5*j + 2*j = a. Is j > 8\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -7 (c) -3\/4 (d) 297\/16 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -122820 divided by -1068?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.619001734 + 0.619. What is b rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (410*k - 204*k + 8*k**3 - 1 - 205*k)*(3 - 3 - k).\nAnswer: -8*k**4 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*s**2 + 31*s**2 + 2*s**4 - 3*s**2 - 10*s**3 wrt s?\nAnswer: 48*s - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48113.55 - -34621.7. Let b = -13493.980322 - g. Let d = b + 2.13. What is d rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2)\/((-13)\/(-234)*-3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6.4. Let s = 0.26808 - 2.26808. What is the third smallest value in s, -1, u, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35.3 - -36.3. Let s = 7.4 + 77.6. Are s and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -152*s**2. Let j(i) be the first derivative of i**3\/3 - 124. Determine j(y(b)).\nAnswer: 23104*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 39*y - 38. Let n be v(40). Suppose 0*g - 2*g = 0. Let d be g\/(3\/(-1 + 4)). Solve -2*k - 5*u = -0*u - 1, d = 5*k + n*u - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + (-15)\/(-3))\/((-2)\/6). What is the first derivative of 3*a**3 + 36 - 7*a**3 - 6*a**3 - a**f wrt a?\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((3\/(-21))\/(4\/(-14))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 equal to -0.153496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 185 = -122 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111011010101101 - 1100?\nAnswer: -1101111011010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-168)\/(-7))\/624?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*i = -16, 2 = o - 0*i - 4*i. Suppose 9*s - 4*s + o = 0. Suppose 15 = -3*z, -4*d + 3 = 3*z + 2. Sort s, d, -5 in decreasing order.\nAnswer: d, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3249*r = -4*c + 3245*r + 20, 0 = 7*c + 10*r - 26 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6*u - 18*u + 0.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216092 is divided by 2092?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77\/4 + -19. Let j be -203 - -191 - (-51)\/4. Factor 1\/2 + j*w + x*w**2.\nAnswer: (w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005 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 10\/((18*40\/192)\/(30\/1340))?\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 312018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b90a + 6?\nAnswer: -b904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11528842, -23057688, -34586534?\n\"Answer: -11528846*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4549 + 149?\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6 - 58*d**4*r**3 + 9*d**3 + 3*d**2*r**3 + 2*d**2 - 4*r**2 + 10*r wrt d.\nAnswer: 240*d**3 - 1392*d*r**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l + 15. Give c(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 96, 157, 230, 309, 388?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3128109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -9 + (1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (2 - 0)*-1. Let x(v) = -v. Let h(d) = -2*d - 1. Let l(z) = 3*h(z) - 5*x(z). List the prime factors of l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n*n**0*n*n)\/n))**(-16) assuming n is positive.\nAnswer: n**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -u + 1 + 9, 3*q = -12. Let h be (48\/(-32))\/((-6)\/28). Solve w - p = -3, u*w = h*w + 4*p - 30 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -436282 divided by -218141.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420114 (base 9) in base 15?\nAnswer: 26645a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 13 = -5*a, -29 = 3*x + 2*a. Suppose -5*t - b - 3*b = 30, b + 5 = -t. Let k = x - t. Solve -10 = -2*h, -g + k + 1 = h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -320?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*q - 389*q = -5688 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + -4 + (-4 - 0) + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(((-4)\/10)\/(13\/1365*28))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 1\/(-4)) + 2\/(-8). What is the nearest to 10 in 0.2, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -136, -843, -2126, -3985?\n\"Answer: -288*d**2 + 157*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4\/6 - 5*k**3\/2 + 451*k**2\/2 - 7*k. Is i(0) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 245*a**3 - 250*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2958 and -19\/874176.\nAnswer: 14860992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116 + -118 + (5 + -1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8755163 years in months?\nAnswer: 10.5061956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 0, -5, 0.7029 in ascending order.\nAnswer: -5, -3\/5, 0, 0.7029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 1078?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 46 = 6*k, -16254*k - 2 = 2*p - 16259*k for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: 7 + (18 - 9) - (9 + 124) - (0 + -8)\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*p**2*z**2 + 596897461*b*p**2 - 14*b*p*z**2 + 23*b*p*z - 88*b + p*z**2 + 43*p*z wrt p?\nAnswer: 2*b*z**2 + 1193794922*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.1 - 3.7. Let m = y + -3.3. Sort m, 2, -3 in ascending order.\nAnswer: -3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10940726 + -30240726. Round v to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1049358*h + 1049352*h + 48 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 58.65246?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1954*d**2 + 31265*d + 54. Give k(16).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*x - 37. Let h = -5 + x. Suppose -3*s = 3*t - 9, -s + 12 = -h*t - 0. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*124*1890\/360 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3135226365.\nAnswer: 3, 5, 23223899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 2*s**2 - s. Suppose 3*j = -0*j + 5*b + 52, -3*j + 7 = 4*b. Let c(k) = k - 6. Let m be c(j). What is the least common multiple of d(m) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 greater than or equal to 278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4923)\/132*-2*((-114)\/(-18) + -5). Is q <= 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2\/4 + 25*d\/4 + 75\/2 = 0.\nAnswer: -5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:08 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.734 - 0.266. Sort h, 0.2, 0.4, -0.1 in ascending order.\nAnswer: h, -0.1, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3000712123?\nAnswer: 19, 139, 1136203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 - -2 - (-5 - -4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + s + 3*s - 17 - 30*s**2 - 9 in the form c*s + h + g*s**2 and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 5*c + 34 = -14, 0 = -4*a - 3*c + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 0 + 12 - 1 - 11.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32208\/(-10980)*(-15)\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 + -77. Find the common denominator of ((-134)\/(-6))\/((-60)\/9) and 1 + ((-507)\/s - -6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -59391, -59393, -59395?\n\"Answer: -2*f - 59389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -3 - (-6 - 5). Suppose -b + f = -5. Calculate the remainder when 65 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 970\/9 - 108. Let i = 0.4 + -0.3. What is the closest to i in b, 3\/8, 2\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 11 = 3. Solve 2*m = 2*w + l - 1, 0 = -4*w + 5*m - 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000048550422 rounded to 6 decimal places?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.38 - -0.02. Let v = 0.172 - -0.128. What is the smallest value in t, v, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -44?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 11*u**3 + 7*u**2\/2 + 4*u. Is k(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3988)\/(-166) - (-722)\/(-29963)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((6*(sqrt(130) + -1*sqrt(130)) + (sqrt(130) - 4*sqrt(130)*-2))\/((sqrt(80)\/sqrt(128) - sqrt(10)) + (sqrt(10) - -1*sqrt(40)\/sqrt(4))) + -1).\nAnswer: -3 + 108*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 + 9*t)*(-3 + 5 - 1) + (2*t + 0*t - 3*t)*(5 - 4 - 3) to k + d*t and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218010206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(300) + sqrt(300)*-1 + sqrt(300)) + -1 + sqrt(300) + -4 + sqrt(300))**2*-4.\nAnswer: -1300 + 400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xryarrrroxyxrrrxxxy. Give prob of picking 1 o and 1 a.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -39, -126, -363, -822, -1575, -2694, -4251, -6318?\n\"Answer: -12*d**3 - 3*d**2 + 6*d - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 times 0.031\nAnswer: 0.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 323623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 11122120?\nAnswer: -11122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 8*z - 7. Let c(d) = -d - 1. What is 5*c(g) - y(g)?\nAnswer: -2*g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 133048143.93.\nAnswer: 133048144.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve h = 4*c + 38, 306*h + c = 331*h + 40 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123420253.\nAnswer: 11, 83, 135181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 105081 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/8*8\/(-108))\/((-65)\/78)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 5. Let q = 2 + 1. Suppose 4*h = -q*y - 2*y + 11, -2*y - 5*h + 18 = 0. Put 0, t, y in decreasing order.\nAnswer: t, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5839 = -557*q - 4246 - 2169 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = 5*n. Let r be 6\/2*(-22)\/(-33). Suppose r*t - 3*t = 1. Put -4, t, n in ascending order.\nAnswer: -4, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4\/7 - 63080*o**3\/7 + 504730*o**2\/7 - 1198800*o\/7 + 757152\/7 = 0.\nAnswer: -31548, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -2 - 37 - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s = -12. Suppose 4*i - b - 4 = -20, -i = -s*b + 4. Let r(t) = -t**2 - 7*t - 6. Calculate r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3705 + 9085 = 5*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-4*a**3 + 7*a - 7*a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 77 = -5*b. Calculate the highest common divisor of 121 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*h + 27, 3*c = -3*h - 2*c + 36. Suppose h*o - 9 = 6*o. Sort 4, 5, o in descending order.\nAnswer: o, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*h + 2*h - 13*h - 1 + (4*h - 4*h - h)*(0 + 5 - 4).\nAnswer: -24*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 36 = -4*r, -5*t + 2*r + 65 = -3*r. Calculate the smallest common multiple of 12 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 - 3*s**3 - 2*s**4 - 12646*s**2 + 242*s**4 + 12646*s**2 + (-4*s**2 + 0*s**2 + 3*s**2)*(-s + s + 2*s**2) - 3*s**2 + 3*s**2 - s**4.\nAnswer: 237*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*a - 3678 = -10403 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 846\/30 + 3\/(-15). Let j = -15 + m. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22525, 44893, 67201, 89419, 111517, 133465?\n\"Answer: -5*c**3 + 22403*c + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {t: 3, q: 1, u: 3, j: 2, b: 1, z: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -3201\nAnswer: 35211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -43496086, -43496087, -43496088, -43496089, -43496090?\n\"Answer: -q - 43496085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7049)\/(-1484) + (-369)\/76.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1087916386.\nAnswer: 8703331088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1382 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 6:15 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*t = 6, 2 = -o + t + 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - y = -5*t - 78, 2*t - 5*y + 62 = 0. Let a = 68 + t. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3\/2 - 1940071*x**2 = 0?\nAnswer: -3880142, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1712.2 + 32\nAnswer: -1680.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1+-1751637.67\nAnswer: -1751636.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2 - 20*x + 23. Calculate g(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -5886 - 474. Suppose -7*y + 200 = -q. Suppose c + y = 7*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64225 is divided by 2304.\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Let w(r) = 2*r**2 + t*r**2 - 2*r**2. Let u(c) = -4*c. Calculate u(w(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3868897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5126 a factor of 26882564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 23727 = 5*x - 23784, 14*w = x + 266 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y = 23*y + 8. Suppose 2*m - 32 = -2*m - 4*l, 2*l = y*m. Let b be (-1)\/m*0 + 4. Let a(f) = -f**3 + 3*f**2 + 4*f - 2. Calculate a(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/35?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/(5\/10). Find the common denominator of (-241)\/(-42) - h\/(-7) and -33\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -16. Suppose 3*w - a = 43. Let v be (-2)\/(-8) - (-36)\/48 - -15. Solve -5*i + c = -w, 0*c - v = -3*i - 2*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Suppose -2*r = -5*t + 10, -5*t + 10 = -6*r + 11*r. Solve -t = -i - y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b - 687 = -703 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2132.662kg to grams.\nAnswer: 2132662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**8\/560 + i**4\/8 + 2*i**3\/3 - 3. Let l(x) be the third derivative of k(x). Differentiate l(q) wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -2 + sqrt(38)\/sqrt(2) + -5)*2*4)**2 - (1 + (2*(0 + sqrt(475)))**2 + 1).\nAnswer: -3584*sqrt(19) + 20690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7549*n**3 + 14*n**2 - n + 12. Let v be r(-7). Suppose -4*g + v = -f, -f + 2*g - 2590015 = -3*g. Round f to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x = -11*x + 9555. Suppose 269*p - x*p + 136 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 15*b**2 - 12*b - 38. Give j(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1950012 by -216668.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 5*q. Let m be 2*(7\/2 + -2). Solve -m + q = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 526*p**3 + 13*p**2 - 10*p - 31. Let l be j(2). Calculate the highest common divisor of l and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/2*59*370\/2220.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1922*v - 3. Let y be m(-9). Let w be (2692\/6)\/((-8)\/(-180)). Let c = y - w. What is c rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -88*y**2. Let d(a) = -2*a. Calculate o(d(t)).\nAnswer: -352*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17283 and 7245.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.86 plus -45911615?\nAnswer: -45911552.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, w: 5, o: 3}. What is prob of picking 2 o?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369124287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*y = 106*y - 5, 3*i - 2*y + 23 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**(3\/5))\/(k*k*k\/k**(-4\/7))*k**(6\/11)*k**(-3\/11)*k)**(-28\/3) assuming k is positive.\nAnswer: k**(-52\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 155? (a) -50 (b) -0.5 (c) -2\/307\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) - (2 + sqrt(275))*1) + sqrt(275))*-6 - (3 + (sqrt(275) - (sqrt(275) + sqrt(275) + 3 + 0))**2)) + -1.\nAnswer: -276 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -123 divided by 35\nAnswer: -123\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/192*-4 - (-4)\/(-6)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 105\/315*(0 - 0). Is x at most as big as -8\/361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 0*i - 11 = -3*k, -3*i - 11 = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21899 - 21914. Let y = 241 + -509\/2. Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21400 + 14*h**3 + 14*h**3 - 21388 - 44*h**2 + 4*h.\nAnswer: 4*(h - 1)**2*(7*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -379.351 + 345.3592. Let g = 29 + 5. Let w = g + y. Round w to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v - 1. Suppose 7*s - 54 = -47. Give z(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*i - 3463 + 5551 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: -3309 divided by 1\nAnswer: -3309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 263*l - 23*l**2 - 263*l as i*l + p + c*l**2 and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-452 - 440 + 680)*(-8*n**2 + 0*n**2 + 3*n**2).\nAnswer: 1060*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/49 (b) 0.1 (c) 2\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1340 + -1327. What is the least common multiple of h and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaoaaaao?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 5*t + 14. Suppose -19 = -3*c - 2*c - g, c - 11 = -2*g. Suppose q = 4*u + c*q - 34, 0 = 4*u + 4*q - 24. Is 14 a factor of v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 - 58 + 54 - 3*q**2.\nAnswer: 4*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-84)\/(-40))\/(-7) - (-6)\/4. Factor 21\/5*o**4 - p*o - 48\/5*o**3 + 0 + 33\/5*o**2.\nAnswer: 3*o*(o - 1)**2*(7*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a + 7. Let n(d) = 6*d - 8. Let k(z) = -2*n(z) - 3*u(z). Let r = 0 - -4. Is k(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-32)\/80)\/(2\/(-5)))\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4430\/3 - -1487. What is the common denominator of i and 68\/87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*(sqrt(720) + -1))**2 + -2*sqrt(720) + 1 + 3)*6*2*-4.\nAnswer: -69600 + 4608*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/3))**(1\/70)\/(n\/n**6*n*n*n\/n**(-2\/9))*(n\/(n*n\/(n*n**(-5)))*n*n\/(n**(-2\/11)\/n)*n)\/(n**3*n**(-1\/2)*n) assuming n is positive.\nAnswer: n**(-1744\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2935.\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 15*k + 1. Let d be b(4). Suppose 0 = -66*h + d*h + 25. Suppose -l - l + h*g = 15, 2*g - 6 = -2*l. Solve i + l*i = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 36*d**3 + 14004*d**2\/5 + 11104*d\/5 + 1232\/5 = 0.\nAnswer: -77, -2\/3, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -11649*k**2. Let m(j) = -2*j. Determine q(m(a)).\nAnswer: -46596*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjjj when four letters picked without replacement from {x: 1, j: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -21985*(3 + (-5 - -1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 8000838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4 - 6, 0 = 2*h + 2*j + 2. Let s(q) = -5*q**3 + q. Let m be s(h). Do m and -4 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 12.\nAnswer: 17\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -21 (c) -66 (d) 3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 3?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + -2*sqrt(143)*4 + sqrt(143))*3)\/(2*sqrt(1584)*2 - sqrt(1584))*5*6.\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*t + 40, 0*r + 104 = 4*r + 2*t. Suppose 0 = -r*q + 22*q + 62. Differentiate -14 + 0 + q*k + k**4 - 31*k with respect to k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*p + 93, -3*p - 4*f + 12 = 126. Let q = p - 3. Let g = q - -70. What is the greatest common divisor of g and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 + 8)*(-2556851 + 11*d**2 + 2556857 + 5*d**4 - 4*d**4) to the form h*d + u + o*d**3 + s*d**4 + v*d**2 and give v.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -19*s**2 + 16*s. Let z(q) = -39*q**2 + 32*q. Let v(j) = -7*i(j) + 3*z(j). What is the second derivative of v(o) wrt o?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 15 = 11*l. Let n be 0\/(l\/(7 + -2)). Suppose n = -5*t - 371 + 1456. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133564 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 760*d + 11411. What is k(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 11*z**2 + 34*z + 3. Determine g(-13).\nAnswer: 1420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = -12 + 28 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1233 (base 6) to base 14\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 930379.\nAnswer: -930378.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1144\/232 - -4) + (-20)\/(-290).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 57. Let o = l + 17.4. Let g be (-2)\/(-15) - 34\/102. Which is the second biggest value? (a) 2 (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 164?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 2, a: 1, o: 3}. What is prob of picking 3 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4287 + 6381 = -26*z - 736*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41051678*d*s*w**2 + 2*d*s*w - d*s - 24783554*d*w**2 - 2*d wrt s?\nAnswer: 41051678*d*w**2 + 2*d*w - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.94 - 1. Let g = l - -0.054. Round g to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -13. Suppose -9*t = -11*t. Suppose -3*p - 7 + 1 = t. Put r, 2, p in ascending order.\nAnswer: p, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/9 + 364*b**2\/3 - 122*b - 2188\/9 = 0. Calculate b.\nAnswer: -547, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2459 = -479. Suppose 106*f - z = 104*f. What are the prime factors of f?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(8\/5)*k**(-12)\/k*k assuming k is positive.\nAnswer: k**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7564 divided by -4.\nAnswer: -1891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**4 - s**3 + 2*s**2 - s - 3. Let b(a) = 3*a**4 - 31*a**3 + 347*a**2 - 1065*a - 1446. Let v(f) = -3*b(f) - 6*k(f). Solve v(c) = 0 for c.\nAnswer: -1, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -486, -518, -750, -1332, -2414, -4146?\n\"Answer: -25*x**3 + 50*x**2 - 7*x - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21, -32, -49, -78, -125, -196, -297?\n\"Answer: -l**3 + 3*l**2 - 13*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2541)*1 + sqrt(2541))*3)\/(5*-2*sqrt(7) + -4*sqrt(28)).\nAnswer: -11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 220933723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 q when three letters picked without replacement from {o: 7, e: 2, q: 1, h: 4}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -759 less than -762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 13*j - 272240 = 7*j. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2. Let k be (13870\/(-342) + 40)\/((-2)\/9). Let m(z) be the first derivative of k*z**2 - 36 + 0*z. What is o(m(r))?\nAnswer: -75*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1557, 5711, 12611, 22251, 34625, 49727, 67551, 88091?\n\"Answer: -t**3 + 1379*t**2 + 24*t + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n**3 + 5*n**2 + 3*n + 4. Let l(w) = -9*w**2 - 9*w**3 - 8 - 5*w + 24*w**3 + 1. Calculate 4*l(q) + 7*o(q).\nAnswer: 4*q**3 - q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - -0.1. What is h rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1608 = 5*m + 4*w, 5*m - 7*w = -5*w + 1626. Calculate the lowest common multiple of m and 36.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -131.2123, -5, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -6*t. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/8)\/(8\/(-96)). Suppose -q*y + 4*y = -5. Solve 2*a + n = y, -4*n = -n + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l**3 + 387*l**2 + 4233*l + 2952 = 0. Calculate l.\nAnswer: -8, -3\/4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9303 divided by 443.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74925035821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/3 or -977653?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -28.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 22*v + 17. Give u(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jibjjiisiisb. Give prob of sequence sssj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -139315 * 0.03.\nAnswer: -4179.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 284*p - 291. Determine m(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550117 >= 1550026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 1809?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-56))\/(234\/(-273)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 22 = 27 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8871661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**3 + 18*c**2 - 23*c + 1. Let x(r) = -13*r**3 + 35*r**2 - 46*r + 1. Let o(w) = 11*f(w) - 6*x(w). Is o(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10489500*v**5 + 28*v + 127507 wrt v.\nAnswer: -209790000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -10592.0998 to the nearest integer.\nAnswer: -10592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.9 + 3.1. Let n = -17 + d. Let j = -3 + n. Which is the second biggest value? (a) 0.4 (b) j (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1637413991.\nAnswer: 1637413991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, z: 5, a: 8}. Give prob of sequence zaz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13152 - 13168.473. Let l = x + -0.027. Let p = l + 16.49999923. Round p to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835801?\nAnswer: 47, 17783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -101? (a) -0.4 (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 - 4*f**2 + f**2)*(-9 + 8 - f - 93*f) to y + o*f**3 + t*f**2 + m*f and give o.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 48.66411 milliseconds?\nAnswer: 48664110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 100*k + 2506. What is z(-50)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/7796159 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23207, -46797, -70785, -95165, -119931, -145077, -170597, -196485?\nAnswer: -222735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103018 is divided by 51167?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20919 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22625524 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 1219.\nAnswer: -1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88818?\nAnswer: 2, 3, 113, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 4, 14, 28?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16035 is divided by 684?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300)\/208 + -5*(-98)\/280.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7*t = 0. Suppose t*o - 33 = -3*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 5*c - 60, 0 = -26*k - 5*c + 705 - 393 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1, 6, 54\/65?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 17*h + 4. Let y(s) = -11*s - 7. Let x(j) = -9*j - 8. Let u(i) = -2*x(i) + 3*y(i). Let w(o) = -5*t(o) - 4*u(o). Let p(a) = -12*a. Determine p(w(d)).\nAnswer: 300*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 31 + 9 = 0. Let v(i) = -i**3 - 8*i**2 - 7*i + 2. Is v(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668411566 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3, -278, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-13 - 1 - (-28 - (-70 - -51))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257892 is divided by 17468.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Suppose -2*a + 8 + p = 0. Let t be (6\/(-14))\/((-84)\/980). Solve 2*d + t = -a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18) + (-2)\/9. Sort -6, s, -5.\nAnswer: -6, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(6\/19))\/n**23 assuming n is positive.\nAnswer: n**(-412\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {w: 1, y: 1, s: 3, c: 1, l: 2, x: 5}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*b - b - 5, 0 = -3*b + 3*s + 3. Solve 0 = -5*o - b - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11213213210 - -1030?\nAnswer: 11213220300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19965509 a multiple of 2608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -288, -561, -926, -1389, -1956?\nAnswer: -2633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 16) to base 12\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 2*z**2 - 4*z + 2. What is the least common multiple of 22 and b(2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21574631407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 429730 and 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 403312914 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-11 + 1)) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from drdddddrrd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from jjomxjjjxnjn.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -209.186118 to one dp.\nAnswer: -209.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + c15a10?\nAnswer: c15a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4, -82, 89?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1889, 1809, 1783, 1847, 2037?\nAnswer: 2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 + 58*n + 7. Calculate c(-15).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t**3 + t**3 - 4*t**3)*((1 + 1 - 1)*(-3 + 4 - 2) + 7 + 6 + 13) in the form z*t**3 + s*t**2 + r*t + l and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*k - 1 = -4*c, -2*k + 14 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-310)\/(-12) - (-1)\/6. Suppose 4*m = -d + 16, 3*d + h = 7*d - 3*m. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (3 + 3)\/2. Suppose 5*f - 6 - 4 = b. Solve -3*l = -f*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/1996, -3\/5, -6 in descending order.\nAnswer: 1\/1996, -3\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 20. Calculate the greatest common divisor of u and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450.9 rounded to the nearest ten?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57799513 to the nearest integer?\nAnswer: 7603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by 1\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - -29 - (1 - 2 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.681 + -0.319. Let w = 0 - 0. Let k = 3 + -4. Sort k, w, m in descending order.\nAnswer: w, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -26*i**2 - 16*i - 16. Let v(w) = 5*w**2 + 3*w + 3. Let b(n) = 3*k(n) + 16*v(n). Let d(f) = -4*f. Give b(d(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1239*x**2\/5 + 26301*x\/5 + 6084.\nAnswer: 3*(x + 20)*(413*x + 507)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 563200 (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12432 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -5*n**4\/4 - n**3\/3 + 2*n**2 + 4*n. Let y(i) = 8*i**2 + i - 2. Calculate 6*v(l) + 11*y(l).\nAnswer: -2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 10, 5*u + 0*i - 3 = -i. What is the units digit of (11\/3)\/(u\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 - -0.01. Let p = 5.06 - g. Sort -1\/3, p, -1\/2 in descending order.\nAnswer: p, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -14. Find f, given that 2 + h*f + 0 - 2*f - 2*f**3 - 2*f**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/29, -2\/25, 167, -2, 7, 0.3?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 0 + 16 + -3 + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(180)*-4)**2 + ((sqrt(405) - (0 + sqrt(405)))*-4)**2.\nAnswer: 240*sqrt(5) + 2905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-37 + 27 - (-4 - (16 + -6))) + -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-12) + -5*(-728)\/240. Suppose 0 = 257*c - 260*c + i. Let g = -5 - -9. Solve -g*k + 23 = 5*f, -2*k + 2*f = c*f - 13 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o = 0. Suppose 5*y - 8 - 7 = o. Suppose -6*x - 4*t + 28 = -2*x, 0 = -3*t. Solve -x = 2*z - y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257*u**3 - 2*u - u + 264*u**3 + (2*u + 0*u - u)*(3*u**2 + u**2 - 2*u**2) + 4*u**2 - 4*u**2 + 2*u**3 to the form f*u**2 + v*u**3 + l*u + h and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 - 0.17. Sort -0.2, o, 0.03 in descending order.\nAnswer: 0.03, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 4*l**2 - l + 1. Let j be a(-4). Suppose z = j*z. Suppose 3*t - 59 - 4 = z. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*i**4 - 14 + 6 - 3*i**4 wrt i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 - 31*c + 169. Let w be s(10). Solve -250 = -9*p - w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syzyyzzdss. Give prob of picking 1 s and 3 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 10*r = -7*r + 6, -2*c = 4*r + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -714, -489, 122, 1311, 3270, 6191?\nAnswer: 10266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/8 + 39 + -36.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Let v = 207 + -138. Suppose v = 11*r + 14. Solve f + m = r*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 4*j + 0*x - 115 + 87 = -4*j - 4*x, 0 = -2*x for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, v: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/13)*o)*o**(-12))**(1\/5)\/(((o\/(o\/(o\/((o\/(o*o**(-1\/2)))\/o))*o))\/o*o)**(-16\/5)\/(o**2*(o*(o*o**(2\/11))\/o)\/o)) assuming o is positive.\nAnswer: o**(202\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -572, -4342, -14430, -33950, -66016, -113742, -180242?\nAnswer: -268630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((4\/6)\/(-1))\/((-152)\/110580)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5522483.\nAnswer: 19, 290657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 5*l**2 + 2*l + 9. Let c be w(5). Let v = c - 11. Suppose -2*g + 18 + 12 = 0. What is the remainder when g is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 3*z - 3*a, 2*a - 23 = -2*z + 27. Suppose 38*y = 41*y - z. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.2829217ng?\nAnswer: 0.0000000000002829217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17579, 17587, 17595, 17603, 17611, 17619?\n\"Answer: 8*a + 17571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - 131. Let b = -56 - f. Let l(k) = 493925*k**2 + 1 - 246967*k**2 - 246963*k**2. Let g(v) = -14*v**2 + 3. Give b*l(a) + 6*g(a).\nAnswer: a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 + 125 = -27*a. Is a equal to 81\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**2 + 14*f + 4. What are the prime factors of g(-10)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*w - 4*v + 17, -2*w + v - 9 = 0. Let f = -9 + -1. Let m be (w\/(f\/(-12)))\/(-1). Solve m*z = 2*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/5 + 16\/(-40). Let m(c) = -2*c**2 - 2*c - 3. Let h(j) = 2*j**2 + 2*j + 3. Give y*m(q) - 3*h(q).\nAnswer: -2*q**2 - 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -551\/6. Let w = 397.5 + -397.5. Which is the closest to 12? (a) 2 (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1.4. Let a = -0.06 - -2.36. Let o = a + 1.7. Put h, 2, o in descending order.\nAnswer: o, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - o + 25 = -6*o, 0 = 4*o - 16. Let x(a) = -a**3 + 10*a**2 - 9*a + 4. Let u be x(r). Solve 3*g - 3*j = 3, g + u*j = -g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349069225 a multiple of 3479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 116239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*h + 365 = 51*h - 28*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = 2*a + 20, -4 = 4*r - 3*a. What are the prime factors of -1 - r - (-80 + 9)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -2\/21, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 467*x**2 + 5*x + 4. Let p be (15\/(-10))\/(3*4\/8). List the prime factors of a(p).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 11*b - 751. Determine k(-16).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**5\/10 + v**4 + 5*v**3\/6 - v**2\/2 + 9*v. Let b be u(-5). Calculate the common denominator of b\/(-64)*(-255)\/(-9) and 65\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1268460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**4 - m - 3. Let y(f) = 44*f**4 - 148*f**3 - 56*f**2 + 142*f - 12. Let k(i) = 6*v(i) - y(i). Determine t, given that k(t) = 0.\nAnswer: -1, -1\/25, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*a - 2*n - 45, -4*a + n = -35. Suppose 0 = 4*y - 1 + 9. Let m be (y + 0 + 4)*15. What is the highest common factor of a and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77970 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -133, 1, -5788, -2 in decreasing order.\nAnswer: 1, -2, -133, -5788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1891797 and 1128?\nAnswer: 15134376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4591 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -23*a - 154 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*g - 2071 = -267*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 8:07 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uufi when four letters picked without replacement from {m: 3, i: 4, u: 4, f: 4}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + -2*(sqrt(2057) + 1*sqrt(2057) + sqrt(2057)) + (-5 + sqrt(2057) + -1 - (sqrt(2057) + -6*(sqrt(2057) - sqrt(2057)*-1))))**2*5 + -4.\nAnswer: -1320*sqrt(17) + 370275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (1 - 0)) + 212\/20. Let a be (-4)\/6 - (-92)\/30. Determine f, given that 2\/5 + 32\/5*f**4 + x*f**3 - a*f + 2\/5*f**2 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**5\/110 - 7*b**4\/66 + b**3\/3 - 5*b**2\/11 + b - 13. Factor o(d).\nAnswer: 2*(d - 5)*(d - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0.5. Suppose -5*j + 8*w = 3*w - 15, 4*j - 3*w = 12. Which is the second smallest value? (a) -1\/12 (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by -1?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -5, 3, -2 in increasing order.\nAnswer: -41, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77 + 0?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10203 (base 5) to base 10.\nAnswer: -678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 72*m**3 + 895*m**2 - 10872*m + 24304.\nAnswer: (m - 4)**2*(m + 31)*(m + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 5)\/(12\/18). Let w be 8\/(-6)*k\/(-4). Suppose -2*i - w*i = 3*f - 747, -2*f + 376 = 2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqqjppppbbpjjqqzpvq. Give prob of picking 1 z and 1 b.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfff when four letters picked without replacement from {n: 2, f: 4, k: 3, s: 3, r: 1, d: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101359653 is divided by 221.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7\/3)*g**(-1\/6)*g*g assuming g is positive.\nAnswer: 1\/sqrt(g)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**4\/38 + 4*p**3\/19 - 5*p**2\/19 - 38. Factor j(b).\nAnswer: -2*b*(b - 5)*(b - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -5 (b) -76 (c) -1\/4 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1700 and -24\/425.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3669 + 4808. Calculate the greatest common divisor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (10 + 15)) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*z**3 - 1 - 3*z**3 - 3*z**2 + z**2 in the form g*z**2 + u*z**3 + r*z + l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -297*m**3 - 12*m**2 - 56*m - 51. Is o(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111010 + 10000011000110101010?\nAnswer: 10000011001110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -37197.9 times -2.33\nAnswer: 86671.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-890)\/(-14) - 33\/(-77). Is i < 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/84*(14\/(-16))\/(25\/1900).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-126)*((-3038)\/112)\/31?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 27 = -0*i - 4*m, 0 = m - 4. Suppose 0 = 4*y + 18*y + 9*y. Sort y, -6, i.\nAnswer: -6, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/11 + 60*j**3 + 7630*j**2\/11 - 60*j - 7632\/11 = 0 for j.\nAnswer: -318, -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11536 (base 7) to base 12.\nAnswer: 18b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -2*s + 82, -31*s = -35*s - 3*o + 69. Sort 0.2, 5, s, 1\/7, -21 in ascending order.\nAnswer: -21, 1\/7, 0.2, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - -39. Let l(q) = 4*q**2 - 3*q - 4. Let m be l(-3). Let z = 44 - m. Solve 0 = z*n - 14 + s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*(sqrt(78) - -1*sqrt(78))*-5)\/(-1*sqrt(384)*-1).\nAnswer: 5 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -182488, -182499, -182486, -182437, -182340?\n\"Answer: 2*g**3 - 25*g - 182465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 10, 0, -8, 3, -1\/931, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.1. Let y be 9 + (-3)\/(3\/(-2)). Let v = y + -7. Which is the closest to o? (a) 1 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -0.09, -24\/11?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(-24) + (0 - 12\/16). Determine o so that -1\/3*o**2 - 1\/3*o**3 + 0 + j*o**4 + 1\/3*o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 3*m - 524. Suppose 4*h + 298 = 9*h + 2*n, 0 = -2*h + 4*n + m. Find the common denominator of -17\/10 and (6\/h)\/((-12)\/1510).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3359 + -48.3.\nAnswer: -3407.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 375618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 109*w**3\/6 + 10*w**2 + 11*w - 53. Suppose -5*x - 4*y + 50 = y, -4*x = -2*y - 46. Is i(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 7 - 2) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27407, -27253, -27087, -26909, -26719?\nAnswer: -26517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*j + c + c, j + 2*c = 14. What is the least common multiple of 1190 and j?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5*(-1640)\/(-656))\/((-1)\/(-9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 5*s + 79 - 35.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31905.\nAnswer: 3, 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 2*z + 17, -558*m = -554*m + z + 25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 8. Let x be ((-2)\/(-4))\/(d\/6). Let b(l) = l**2 + 2*l. Let n be b(x). Solve 5*q - 3*a + a = -20, -12 = n*q + a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 87, 139, 193, 249?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1343 + -777. List the prime factors of r.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 46360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - 156. Let t be (3\/9)\/(1\/g). Is 27\/2 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93608923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 122217911 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 + 2*n - 6*n**4 + 5*n**4 + (-20*n**2 + 20*n**2 - 7*n**3)*(3*n + 4*n - 3*n).\nAnswer: -31*n**4 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b + 4*b - 9*b + 4 to a + u*b and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2901000 rounded to the nearest one hundred thousand?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - ((-10 - -33) + 14).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*t + 19, 3*x + 4*t - 8 = 12. Let v be 16\/24 - -56*8\/(-6). Let o = 146 + v. Calculate the highest common divisor of o and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 16 - 304*f + 304*f - 16.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7 + 2 + 111\/(-36) and 99\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26763203 to the nearest integer?\nAnswer: 5173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -5*t - 22. Let s(n) = n**3 + 11*n**2 - 14*n - 9. Let x be s(t). Calculate the greatest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -5 (b) 0.09 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 792*n - 39204.\nAnswer: -4*(n + 99)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/82 and 26\/3?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*((sqrt(117) + -1)*2 - sqrt(117)))**2 - ((4 + (sqrt(117) + 2 + sqrt(117) - sqrt(117)) - sqrt(117)) + -3)).\nAnswer: -240*sqrt(13) + 2405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjwjwwwwwwjjjwjjjwj. Give prob of sequence wwj.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1091\/9 + -121. Let l(s) = -s**2 - 8*s - 6. Let n be l(-7). Which is the third biggest value? (a) n (b) 2\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4779 and 15399?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1955020262?\nAnswer: 2, 13, 3767, 19961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 294?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 9:40 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -73360 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 40 = 3*b + 29, -3*b = -4*a + 31. Solve 5*q + 48 = -a*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -50 + t**2 + 12*t - 28*t + 28 - 9. Let u be x(18). Suppose 779 - 39 = u*r + 2*f, 4*r = 4*f + 592. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxx. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 3*z - 3. Let m be n(-3). Let h be (-12)\/2 + -11 + (12 - -9). Solve 0*y + 4 = 4*y - 4*l, h*l + m = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32 and -115912343.\nAnswer: -115912311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - h - h**4 - h**4 + (h - h + 4*h)*(-3*h**3 - h**3 + 6*h**3).\nAnswer: 6*h**4 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 2*l + 11. Let d be t(9). Suppose 29 = b - 4*x, -4*b - 5*x = -b - d. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 - 30 = -4*m. Suppose 14*j = -m + 1. Let c(y) = -5*y + 6. Let a(n) = 4*n - 5. Determine j*a(x) - 2*c(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16623 - -16565. Is -473\/8 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w)\/w**4*w\/(w*(w**6\/w)\/w)*w*w**(1\/6) assuming w is positive.\nAnswer: w**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-30)*(-12)\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 48*u + 35 = 43*u, -92*z + 940 = -30*z + 5*u for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*p = -21, -5*p = 2*q + 4011 - 4046 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -35. Let h(s) = -s + 1. Let v(g) be the first derivative of -2*g**2 + g - 1. Let r be (-3)\/(-7) - 48\/(-84). What is r*v(d) + t*h(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 + 3*o**2 - o**2)*(-12 + o + 10 + o) to the form u*o**2 + w*o + q + g*o**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000258 to 6 dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 394, 617, 840?\n\"Answer: 223*v + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**3*k**4 - 26*g**3*k + 8*g**2 - 110*g*k**3 - 3*k**2 wrt k?\nAnswer: -120*g**3*k - 660*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*v + 23 + 73 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1287 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 40*b**3 - 6*b**2 - 3*b - 46. Let w(d) = -160*d**3 + 22*d**2 + 11*d + 185. Let v(c) = -22*l(c) - 6*w(c). What is the first derivative of v(o) wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374 + 374 - 6005*t.\nAnswer: -6005*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, q: 3, r: 3, o: 6}. What is prob of picking 1 q, 1 a, and 2 r?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*y - 39*y - 8*y - 28*y - 39*y as z + w*y and give w.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 6:08 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 43. Sort -0.1, j, 0.29 in ascending order.\nAnswer: j, -0.1, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9aa9 + -4?\nAnswer: 9aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u. Let j(d) = 2*d. Let s(i) = 6*h(i) - 5*j(i). Let c(f) = 3*f**2. Give c(s(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = -57*s - 655 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + j + 1. Calculate b(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -70028 divided by -1708\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -324241?\nAnswer: -324237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 i, 1 v, and 1 l when four letters picked without replacement from inkvlif?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhzqqqqzqqz. What is prob of sequence qh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -9 (b) 2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*g**6 + 67506*g**3 + 46295*g**2 - 16*g wrt g?\nAnswer: 1200*g**3 + 405036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1916 and 12.\nAnswer: 5748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 8. Let b be 15\/7 + (-13)\/91. Suppose 7*r - 10 = b*r. Suppose 0 = -r*j + 1 - 13. Determine t(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*m = 70. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(12) + -3 + sqrt(3) + 0)**2 - (sqrt(33) - -1*sqrt(4752))\/(sqrt(99)*-1 + sqrt(11)))*6.\nAnswer: 219*sqrt(3) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -16*c**2 - 3*c + 6. Calculate u(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140 + -99. Let m = o - 24. Let a be (m\/3 - 4)*1. Which is greater: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -14. Suppose -i + 2 = -3*n, -j*i + 3*i - 2*n = 2. Determine c so that -6*c + 131 - 99 + i*c**2 - 10*c + 0*c = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 558186 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 5. Let z(i) = -i**2 + 9*i + 5. Let g be z(6). Suppose 0 = 5*m - g - 7. Let b be (-2)\/((-5)\/((-75)\/m)). Determine w(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19391 + 19413. What is the lowest common multiple of -3*2\/(-6)*14 and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 2\/55, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u + 96 - 99 + 8*u + 12*u as c*u + d and give c.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27307533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*d = -6*a + 230, a = -d + 65. Let m = a - 303\/5. Let z(i) = -4*i - 1. Let f be z(1). What is the second smallest value in f, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.847 rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*a + 90, 5*a + 3*b - 13 + 103 = 0. Let l = -14 - a. Solve -7 = v + v - u, 0 = v - 3*u - l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4955? (a) 2 (b) -0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 52 - 9*p + 6*p - p. Let z be o(12). Solve 3*x - c + 0*c = 14, -21 = -5*x + z*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 at least 2409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69629 by 9947.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 2*c - 21. Suppose 17 = -4*m + 13*b - 10*b, m + 2*b - 4 = 0. Let u(x) = -2*x**3 + 5*x - 43. Determine m*u(h) + 5*y(h).\nAnswer: -h**3 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Let f be ((-18)\/24)\/(l\/(-12)). Suppose -t + 10 = q, 0 = -3*t - q + 11 + f. Calculate the remainder when 19 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -108?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152\/(-6)*(-7 + -84)*558\/124.\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyczzycqzfe. Give prob of sequence zq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(3)*-1 + sqrt(3)*2 + 4.\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 v when four letters picked without replacement from {y: 1, h: 2, l: 1, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(200)*3 + -6*(0 + sqrt(1250) + sqrt(1250)))**2.\nAnswer: 720*sqrt(2) + 259201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 3*o**5\/5 + 8*o**4\/3 - 38*o**3 + 36*o**2 - o - 587. Find k such that p(k) = 0.\nAnswer: -6, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98\/(-84) + 2\/3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -4*f**4\/3 + f + 3. Let p(m) = -2*m. Calculate s(p(z)).\nAnswer: -64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/(-56) - 272\/(-357))\/((-21)\/(-72)). Factor c*f + 2*f**2 + 0 + 4\/7*f**3 - 2\/7*f**4.\nAnswer: -2*f*(f - 4)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/5)\/(4\/(-10)). Let c = 1.1 - 0.1. Let u = -0.1 - -0.2. Put x, u, c in descending order.\nAnswer: c, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 2 - (9 - (-312)\/(-12)) - (10 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.51 to the nearest integer.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 101.\nAnswer: 4\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7110?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + -13 + 3162 + -3157 - -44?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**5\/10 - k**4\/3 - k**3\/2 - k**2\/2 + 8*k. Let j be u(-2). Solve -j*s - 7 = 8, 4*c = 2*s - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*o**4 - 6065*o**3 + 4680*o**2 + 1340*o = 0 for o.\nAnswer: -2\/9, 0, 1, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 8*j**2 - 5*j - 2. Let w = -2333 - -2327. What is v(w)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l - 503 + 689 - 182.\nAnswer: 10*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-690)\/54 - -13)\/(2\/(-9)*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 10. Let j(a) = -7*a + 5. Let p(t) be the third derivative of t**4\/8 - t**3\/3 + 23*t**2. Calculate d*p(n) - 2*j(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100170*d**4 + 179500 wrt d.\nAnswer: 400680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(-1 + 2 + 1)*(4 - 5 + 2)*(0 - 2 - 2)*(3 + o - 3) as b + u*o and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 0.02, -652?\nAnswer: -652","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 14.1, 5, 87, -16 in ascending order.\nAnswer: -16, 1, 2, 5, 14.1, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = p + 120. Solve -5*j - 3 = -0*k + k, 5*k = 2*j - p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4094843255.\nAnswer: 5, 818968651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from mmmocmmmmamgcl.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -40\/193?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 2. Let n be r(6). Let s(d) be the third derivative of -d**6\/120 + d**5\/10 - d**4\/6 - d**3 - 81*d**2. Is 10 a factor of s(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1309 and 49442596?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18103*p**4 - 78416 wrt p?\nAnswer: 72412*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 = -17*g - 2*p, -3*g - 2*p = -5*g - 55 + 71 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.5 and 43023.\nAnswer: -107557.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/7)\/(2\/(-14)). Solve 3 - 6 = t*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/122183 and -4\/29.\nAnswer: 3543307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/126)\/((1*6\/21)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -46 (c) -2\/59 (d) 0.06 (e) -33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3\/2, 0.4, -234, 1\/125 in ascending order.\nAnswer: -234, -0.2, 1\/125, 0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*g - 2. Suppose -g*z = 2*y + z + 4, -12 = 3*z. Suppose 4*n + 12 = 2*m, -2*m - y = -3*m + n. What is the lowest common multiple of m and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 2:55 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*o, -3*v - 3*o + 3 = -6*o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -71. Let r = -9 + u. Suppose -4*q + 17 = 3*l, 3*l - 4*q = -q - r. Put l, 1\/2, 1\/4 in descending order.\nAnswer: 1\/2, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -379657+4248.91\nAnswer: -375408.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*a + 2*a**3 + 76*a - 8 in the form o*a**3 + r*a + g + q*a**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 24*z**2 - 24*z - 22. Let y be t(25). Solve y*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -150 + 170. List the prime factors of (651 - 0)\/(((-60)\/(-8))\/h).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*(sqrt(180) - (-3 + sqrt(180))) + 0 - (-1*sqrt(180)*5 + 2 + sqrt(180)*2)).\nAnswer: -13 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3\/5 (b) -0.2 (c) 2\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Let c = -499 + 493. Let z be (-9)\/c*8\/(-20). Sort z, s, 0.08, -0.4 in decreasing order.\nAnswer: s, 0.08, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 13) to base 3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:18 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(48) - (sqrt(48) + (sqrt(48)*5 - sqrt(48)) + sqrt(48) + -1)) + (sqrt(576)*-3)\/sqrt(12))**2.\nAnswer: -12292 + 256*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2834 - 956. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 5:45 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**8\/4200 + n**7\/1050 - n**5\/150 - n**4\/60 + n**3\/2 - 3*n**2. Let p(h) be the first derivative of l(h). Factor p(q).\nAnswer: 2*(q - 1)*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.7 + -7. Let g = 0.4 + -0.8. What is the second smallest value in f, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*188\nAnswer: -244.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97365.\nAnswer: 3, 5, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 5 - 2*l**3 - 8*l**3.\nAnswer: -8*l**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 708 and 2301.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 minus -0.4961?\nAnswer: 78.4961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-25\/4)\/(i*i\/((i*i*i**(-9\/4))\/i))*(i**11\/i)\/i*(i**(27\/2)*i*i)\/i)**11 assuming i is positive.\nAnswer: i**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -6*y**3\/7 + 9937800*y**2\/7 - 69564198*y\/7 - 178879644\/7 = 0?\nAnswer: -2, 9, 1656293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Let q = 57 - 52. Suppose -3 = 2*m + m - 2*x, -5*x + 5 = -q*m. What is the nearest to -2\/3 in f, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 1323*q**2\/5 + 22103676*q + 461614222140 = 0.\nAnswer: -877130\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -944 (base 11) to base 14.\nAnswer: -5b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3*f = -4*i - 12, -3*i = 4*f - 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/47049 - -102566798\/517539. Let c = i - 198. What is the closest to 0.1 in -3\/4, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 14. Which is the closest to 0.1? (a) 2\/7 (b) -4 (c) z (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 44*k**4 - 12*k**2 + 3*k - 3. Let q(t) = -t**2 + t - 1. Let m(p) = -3*q(p) + z(p). What is the third derivative of m(u) wrt u?\nAnswer: 1056*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 + m**5 + m**4)*(71 + 18 - 23 - 1) - 4 + 4 + 5*m**5.\nAnswer: 70*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -357*q. Let d(v) = 4*v. Determine d(l(u)).\nAnswer: -1428*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518*s**2 + 305*s**2 + 211*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 461 divide 3226603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27852079 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 728 and 208.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-496070)\/(-65) + 30\/195 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31647, 63292, 94935, 126576, 158215, 189852?\n\"Answer: -a**2 + 31648*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 517*p = -518*p + 11, -67 = -7*r - 5*p for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3\/3 + 32554*i**2\/3 + 66243320*i\/3 + 33113522\/3 = 0. Calculate i.\nAnswer: -4069, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7 + 8720*s - 7 - 8783*s - 1 + 15.\nAnswer: -63*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 298406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Let d(s) = s**3 - s**2. Let y be d(r). Suppose -y*l + 49 + 63 = 0. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 11216?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, -3, 1, -2 in ascending order.\nAnswer: -3, -2, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(12)\/((sqrt(40) - sqrt(640))\/sqrt(10)) + (sqrt(243) - (2 + sqrt(243) + -3)))*-3)**2*-6.\nAnswer: -69 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/29460 and 127\/58920.\nAnswer: 58920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 4*i - 9, -15 = -5*o - i. Suppose -7 + 1 = -o*a. Factor -1\/4 - 1\/4*m**a + 1\/2*m.\nAnswer: -(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 6*q - 5. Let m be z(5). Suppose m = -5*i + f - 4*f + 61, -5*f = 15. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -13. Let h(v) = -6 - 4*v + 1 + m + v. What are the prime factors of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 2*j - 2*j**2)*(j + 5*j - 5*j) + 2158 - 915 - 1051 - 25*j**3 to f*j**2 + n + b*j + l*j**3 and give n.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 17097.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25383 (base 9) to base 7.\nAnswer: 100545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/10481?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -437*p - 121*p + 14099 + 28867 for p.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 7\/4)*40\/(-15). What is the second derivative of -13*l + 0*l - 21*l**b + 3 + 5*l wrt l?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25988660671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5524 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**4\/24 + n**3\/6 + 5*n**2. Let l be a(1). Solve l = 2*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 8*x + 7. Let n be g(-8). Let o = -24851 + 173112\/7. Let j = o - n. Which is bigger: j or -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 1. Let o(w) = -w**3 + 6*w**2 + 5*w - 3. Let m(i) = -4*l(i) - o(i). Let f be m(6). Suppose f = -b + 4. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133328451 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 2001?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1324 + 107 = 159*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 3, z: 2, g: 1}. Give prob of picking 1 g and 3 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 101 and 0.03783791.\nAnswer: 101.03783791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9109166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 11*w - 12*w as s + v*w and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - v**2 + v + 70. Suppose -2*p + 4*p = 0. Let i be k(p). What is the highest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 + 74. Let q be 4\/(-14) - a\/126. Solve q*t + t - 5 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 3, h: 13}. Give prob of sequence hw.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32754507 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 161 + -149a?\nAnswer: -1339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 - (-3)\/((-18)\/(-44)). Suppose t = 2*y + 3. Solve -30 = y*r + r + 5*z, -9 = 3*r - 2*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(3 + sqrt(1872) + sqrt(1872) + 1 + (0 + 3*sqrt(1872))**2 + -5).\nAnswer: -101077 - 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106 and 12.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1 + 10*u**3 + 12*u - 10*u - 3*u. Calculate z(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1577192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3\/4 (b) -9 (c) 35 (d) -1\/17538\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -191129, -191128, -191127?\n\"Answer: j - 191130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2472617730 to the nearest one hundred thousand.\nAnswer: 2472600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 36 + (-53)\/(-13).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 30 = 3*l. Let k(g) = -3*g. Let x(c) = 2*c. What is l*x(f) + 3*k(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11840233 (base 9) in base 5?\nAnswer: -2442010423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -106 (c) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 17, a: 1}. What is prob of sequence ppa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29, -5, -253, -823, -1823?\n\"Answer: -18*q**3 + q**2 + 89*q - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 1. Let l(h) = 6. Calculate -l(n) - 5*y(n).\nAnswer: -5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 168461 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**2\/4 - 6105325*g - 24421305\/4 = 0.\nAnswer: -1, 4884261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 12*c**2 - 13*c + 2. Let d be t(13). Let n be 1 - (-1 + d)*-1. Suppose v - 5*v + 4*f + 52 = 0, 5*v - n*f = 65. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (56 - -37) + -35.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -1. Suppose 3094 = -3*c - 3*z + 4*z, 0 = -c + 3*z - 1042. Let j = c - -5113\/5. Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 9*t**2 + 7*t - 14. What is the units digit of v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(6\/5)*l**(1\/10)*l assuming l is positive.\nAnswer: l**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 117\/10?\nAnswer: 117\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 2\/4)*-4. Let h be 6\/3*x\/1. Suppose 3*u - 5*u + h*k = 16, -4*k + 16 = 4*u. Solve u = -2*n - 7 - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14430 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1197a7 - -2?\nAnswer: -1197a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -890.969 rounded to the nearest ten?\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 287426048 by -5642.\nAnswer: -50944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.12269489 and 0.01284.\nAnswer: -0.10985489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3376391*d*j**3*u**3 + 7*d*j**3*u**2 + 5*d*j**3*u + 3921*d*j*u**2 + j*u**4 wrt u.\nAnswer: 20258346*d*j**3 + 24*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o = -140. Let n = 59 - o. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 + 63*o + 2. Determine u(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*k - 3*v, 2*k + 4 + 10 = v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2671*-11.\nAnswer: 29381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58257, -116479, -174723, -233001, -291325, -349707, -408159, -466693?\n\"Answer: -2*x**3 + x**2 - 58211*x - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l*o**2 - 290*l*o*q**2 + 2*l*o*q - 4*o**2*q + 109*q**2 wrt l.\nAnswer: o**2 - 290*o*q**2 + 2*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/4 - 368085*w\/4 + 1012143.\nAnswer: 3*(w - 122684)*(w - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l\/(l**(-2\/9)\/l)))*l\/(l*l**(-1\/2)*l)*(l*l**(-1\/3)\/l)**29 assuming l is positive.\nAnswer: l**(-143\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1320123120 + 10?\nAnswer: 1320123130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 272651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2266 - 6?\nAnswer: -2272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/17 - 58\/51. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(2695\/(-33))\/35.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336 and 16912?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*j**2*z**2 + 11658*j**2 + 2*j*z**3 + 3*j*z**2 - 16*z**3 - 2*z wrt z?\nAnswer: -32*j**2 + 12*j*z + 6*j - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1295610 (base 10) to base 12\nAnswer: -525936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k + 16. Determine x(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6490 and -3?\nAnswer: -19470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41087 and 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 122989940, 122989941, 122989942, 122989943, 122989944?\n\"Answer: z + 122989939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 5*x**3\/6 + 301*x. Let t(h) = h**2 - 38. Calculate a(t(d)).\nAnswer: 5*d**2 - 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8086.0914ms?\nAnswer: 0.0022461365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**2 - 2842*o - 2843 = 0.\nAnswer: -1, 2843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2*h = 8, 2*t + 9*h + 486 = 471 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -21.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 274850 and 2390?\nAnswer: 274850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 4 (c) 1\/5 (d) 0.04 (e) -1\/1788 (f) -48\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 9*w**2\/2 - 128*w + 62. Let f be p(17). What is the greatest common factor of 3 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from cwwfwacaw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((6\/(-21) + 209\/1001)*0)\/(-1). Determine l so that q - 21\/4*l**3 + 0*l + 1\/4*l**4 + 5*l**2 = 0.\nAnswer: 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18140?\nAnswer: 2, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2 + 93172*u - 1211574 = 0. What is u?\nAnswer: -46599, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = 2*p, -p + 3*m = 5 - 0. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - 2. Let o be (u\/4)\/(1\/(-2)). Which is the third smallest value? (a) 0 (b) -1\/6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**4 + 13*p**3 - 19*p**2 - 73*p - 42 = 0.\nAnswer: -14, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 + 4*s**2 - 3 - 16.\nAnswer: 4*s**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -312 or -28408\/91?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 3*s**2 - 6 - 147*s**3 + 2*s**2 + 173*s**3 as x + f*s**2 + z*s + r*s**3 and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:17 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129 + -103. Suppose -3*v - 2*y + 6 = 1, -2*v = -4*y - 14. Suppose -4*p + 195 = v*d, -2*p + 3*d = -24 - 87. What is the remainder when p is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**5\/45 + 73*a**4\/2 + 221*a**2 + 8*a. Solve x(p) = 0.\nAnswer: -657, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58\/145 + 4\/(-10). Suppose -9*y + 10*y - 88 = u. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*u + 4*w, -5*u = 5*w - 2 - 38. Let n = -0.2 - 3.8. Let s = 4.2 + n. Which is the third smallest value? (a) s (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = p + 4, 2*w + 1 = -4*p + 7*w. Let b(n) = -n + 11. Calculate the remainder when b(6) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.5 times 8220959\nAnswer: -28773356.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 + 133?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*v + 27 = 35, 0 = 5*q + 2*v - 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**5\/6 + p**4\/12 - p**3\/2 + 3*p**2 + 28*p. Give n(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23215, -23338, -23471, -23620, -23791?\nAnswer: -23990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(1 - 0 - 2). Let r = x + -4. Let h be 1\/(3 + -6 + 2). Put r, -3, h in increasing order.\nAnswer: -3, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 + (-3 - 2 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -33*o - 2943. Determine u(-89).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9123 a factor of 217090857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 + 4)*(2*l - l - 2*l) - 2*l + l + 2*l + (0 - 2 + 0)*(-l + 0*l + 3*l) - 1 + 1 - l)*(2597 + 38*l - 2591 + 20*l) to r*l**2 + u + j*l and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -3*b - 7, -2*b - 276*h + 275*h = 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1614 = 2362*x + 1478*x - 20814 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (10 - (5 - 6 - -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 12:11 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/10252 and -7\/256?\nAnswer: 656128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(70\/(-105)*((-4)\/(-14) - (-121)\/385)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**6\/15 - 9*h**5\/10 + 7*h**4\/2 - 19*h**3\/3 + 6*h**2 + 11*h. Factor p(d).\nAnswer: 2*(d - 6)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - -5359068?\nAnswer: 5359052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21035659 to the nearest integer?\nAnswer: 4586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.118 - 0.082. Sort -3\/2, 2\/5, f, 7\/5.\nAnswer: -3\/2, f, 2\/5, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3\/20, -0.24, 0.04, 10?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 20. Let s = 68 + y. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -13 + 13 - (-114)\/(-656). Let y = q - -2\/41. Suppose 3*l + 9 = 0, 2*v - 4*l = -0*v + 14. Which is the nearest to v? (a) -1 (b) 1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.5, 1\/3, -87, 0.11, 4 in decreasing order.\nAnswer: 4, 1\/3, 0.11, -0.5, -1, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2049*d**3 - 1320*d - 6. Let t(n) = -4097*n**3 + 2666*n + 13. Let r(l) = 13*m(l) + 6*t(l). What is the second derivative of r(g) wrt g?\nAnswer: 12330*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i + 66*i = -20503. What is the third smallest value in -2, i, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89699?\nAnswer: 19, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31.763 bigger than 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3864052 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 = a, -k = 3*a - 12 + 3. What is the smallest common multiple of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(((h*(h\/h**(1\/4))\/h*h)\/h)\/h)*h**5)\/(h**(3\/2)*h**(2\/13)))\/(h**2*(h\/h**(-2\/3))\/h*h*h*h\/h**(-2)*h**(-1\/5)) assuming h is positive.\nAnswer: h**(-1459\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263221175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c340 (base 15) in base 8?\nAnswer: -734027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -160 + 42. Is l\/(-3) - (-3)\/(-9) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 97, 295, 655, 1225, 2053?\nAnswer: 3187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 26. Let z be p(30). Solve -z*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8248076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000576939 rounded to six dps?\nAnswer: -0.000577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqg when three letters picked without replacement from gqqgqqqqgqq?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -6, 3, -4 in ascending order.\nAnswer: -6, -5, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z - 3*z)*(30134 - z + 27460 - 19429 + z - 2*z).\nAnswer: 2*z**2 - 38165*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7370 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 + 6345\/35 + -1. Let w be (-3 + 8)\/(i\/(-177) + 1). Round w to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((36 - 113) + -33).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 443, 308, 173?\n\"Answer: -135*o + 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*i + 5*i = 16*i + 98*i - 22454 for i.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 - 8.95. Let c = -8.9 - t. Let w = 5\/2 + -23\/10. Sort c, w, 2 in ascending order.\nAnswer: c, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 1\/2*d**2 + 1\/3*d**3 + 42*d + 0. Determine p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/12 and 2*((-4268)\/(-48))\/(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c0 + 1954?\nAnswer: 1b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 13 = 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15160 (base 7) in base 13?\nAnswer: 1bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**5 - 3948*p**4 - 185865*p**3 - 2837538*p**2 - 14170248*p = 0.\nAnswer: -17, -12, 0, 1362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12764 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: Let w = 0.041 - -1.619. Let y = -0.14 - w. Let n = y + 4. What is n rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33\/5 - (-4)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(48\/(-11))*(-1872)\/(-13728)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f - f)*(-5 + 1 + 2).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m - 79. Let d(v) = -3*v + 240. Let f(p) = d(p) + 3*y(p). Suppose s + 2*t + 3 = 3*t, 5*s - 4*t = -11. Give f(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*22\/990*27*15\/(-21)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*-2*-6 - sqrt(396).\nAnswer: 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 5*l + 10, -35 = -5*l - 55 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, g: 1, x: 4, f: 1}. What is prob of picking 1 f and 2 x?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/5 (c) 1\/2 (d) 2\/251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**2*m**6 - 11*i**2 - 18*i*m**6 - 10*i*m**2 wrt m?\nAnswer: 120*i**2*m**3 - 2160*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38*300\/(-18050))\/(18\/2223)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10227862 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o**4\/7 + 516*o**3\/7 + 5024*o**2\/7 - 9264*o\/7 - 832 = 0 for o.\nAnswer: -52, -14, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.49 or -16.1?\nAnswer: -16.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 + -2110000211000101?\nAnswer: -2110000210222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 14) in base 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2022\/23 - -88. Let h = 110 - 108.7. Let g = -3.7 - h. Sort g, z, -3, -1.\nAnswer: g, -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 414842 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 108 = 28*h. Solve -h*b + j = 9, 3*j = 2 + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-98)*(-42)\/(-18)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*r**2 + 6*r + 2*r - 28*r**2 + 13*r**2 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042734 at most 158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45120, -180459, -406030, -721839, -1127892, -1624195, -2210754, -2887575?\n\"Answer: -t**3 - 45110*t**2 - 2*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-679\nAnswer: -678.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.23 (b) 1\/4 (c) -63 (d) 0 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1260\/(-77))\/15)\/(4\/(-22)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.75789cm in millimeters?\nAnswer: 227.5789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-3))\/((-6)\/(-27)). Let y(h) = 2*h + j*h**2 - h**2 + 6 - 5. Let g = -2 + 1. Give y(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 4:08 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133*t**4 + 32*t - 2.\nAnswer: 1596*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/13, 1, -7\/53, 1\/4, 6\/19, 0, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 11*n = -17*n - 12, 3*h - 36 = 4*n. Sort h, 4, 1, -143 in increasing order.\nAnswer: -143, 1, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 1780 = -s - 5*n - 1734, -5*s = 2*n - 45 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 744086017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 6*h**2 - h**2 + (0*h**2 - 3*h**2 + h**2)*(-1 + 5 - 3) + 25 - 8*h**2 - 25 + (-5*h + 5*h - 2*h**2)*(-2 + 4 - 1).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -6*s - 2*b, 220111*s - 220111*s - 2*b - 66 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -2 + 16\/4 - -2 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -26*(-5)\/30*3. Let j(i) = -i**2 + 7*i. Let w be j(6). Solve -3*f - 4*p = w, 0*f + f + 5*p = -b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 12*k - 82. Let f be h(-8). Let n = 338 + f. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 20*j**3 + 65*j**2 - 200*j + 305. Let t(u) = u**3 - u**2 + 4*u + 1. Let a(o) = -25*t(o) + y(o). Factor a(s).\nAnswer: -5*(s - 14)*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**3\/6 - 5*m. Let c(z) = -z. Calculate n(c(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 3262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 28 = 3*i, 0 = -2*i + 3*j + 20 - 0. Suppose -2*r - 4*k - 180 = -6*r, -2*r - i*k + 120 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.27 + -13.19. Sort x, -2\/5, -5, -4.\nAnswer: -5, -4, x, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-10))\/(5\/150*-6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**0)\/b*b**0*b)\/((b\/b**(2\/7)*b)\/(b**(-4)*b)))\/((b**(-1))**(1\/2))**(-1\/7) assuming b is positive.\nAnswer: b**(-53\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -0.3, 5, 2.\nAnswer: -1, -0.3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y + 145 = 105 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1041 + 1048. Let r = 1.793 - 0.793. Sort o, 0.3, 1\/11, r.\nAnswer: 1\/11, 0.3, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2940214?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3))**(-34)\/(((y*y**3)\/y)\/y)**(-9\/10))**37 assuming y is positive.\nAnswer: y**(19203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 672?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22224.9339944 + -22225. Let n = x + 0.066. What is n rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + 50*d**3 + 49*d**3 - d**2 + 15 - 13. What is the tens digit of z(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {p: 5, s: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37928787.\nAnswer: 3, 13, 972533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6860 divided by 5\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + (sqrt(17) - (sqrt(1700) + 5)) + (1*(sqrt(136)*-1 + sqrt(136)))\/((sqrt(16)*-2)\/sqrt(2)))**2.\nAnswer: 270*sqrt(17) + 1602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 612?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q + 34. Let f(x) = -6*x - 26. Let j(y) = -6*f(y) - 5*o(y). Let c be (-4 - -1)\/(1\/(-2)). Calculate j(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 352*r**3 - 2674*r**2 - 7*r + 21. Let t(u) = -351*u**3 + 2671*u**2 + 6*u - 18. Let d(s) = -6*q(s) - 7*t(s). Find the third derivative of d(k) wrt k.\nAnswer: 2070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1952 - 1954. Put 5, -961, r in decreasing order.\nAnswer: 5, r, -961","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 - 78. Let b = f - 30. Let t(j) = -2*j**2 + j - 1. Let n be t(1). Put n, b, 4 in decreasing order.\nAnswer: 4, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140 + -138. What is the nearest to 1\/4 in -0.05, -5, g?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 24*t**3 + 51*t**2 - 9*t + 18. Let w(o) = o**3 + 2*o**2 + 1. Let p(c) = u(c) - 18*w(c). Factor p(g).\nAnswer: 3*g*(g + 3)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*j + 89*j = -18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3, -s - 4*s + c + 216 = 0. Let b = s - 27. Let t(k) = k**2 + 5*k + 4. Let v be t(-4). Solve -5*n - 7 - b = y, v = 2*y + 4*n + 16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, e: 7}. What is prob of sequence uu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 - 4*m**2 + 3*m. Let o be p(2). Is 9 a factor of o\/(-27) + (-220)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3595 is divided by 300?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 129 + 201 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14659 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (4 + 11 + -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122 + 322. Let u be (33\/(-15) - -1)\/((-15)\/p). Sort -2, u, 1.\nAnswer: -2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1076, -2826, -4566, -6290, -7992?\nAnswer: -9666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/47 + 97\/141. Let i = -3 + 4. Let q = -4 - i. Which is the nearest to -1? (a) q (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 141\/11 in -32, -38, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-2)\/(-16))\/((-26)\/(-312)))\/(-3)*-108. Solve h*a - 45*a = 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2. Let d(n) be the third derivative of -n**4 + 7*n**2. Calculate t(d(r)).\nAnswer: -576*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, b: 9, u: 3, n: 5}. Give prob of sequence nuby.\nAnswer: 9\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217 and 66619?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990 - 1014 = -3*z. Suppose z*p + 279 = 3263. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -193, -418, -745, -1180?\nAnswer: -1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621450?\nAnswer: 2, 3, 5, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 20865*b**2. Let a(v) = -42*v - 137. Give a(o(f)).\nAnswer: -876330*f**2 - 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392 (base 11) to base 15.\nAnswer: 20e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**3 + 2*t**2 + 3*t + 2. Let n(g) = -6*g**3 - 3*g**2 - 4*g - 3. Let h(s) = 3*s**2 + 42*s + 42. Let q be h(-13). What is q*x(j) + 2*n(j)?\nAnswer: 6*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/y**(4\/3))**(-41)\/((y**(-1\/4)*y\/y**(-3))\/((y\/y**(-2\/5))\/y*y*y*y**(-2\/7))) assuming y is positive.\nAnswer: y**(-46607\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (4 - (-22)\/11) - 22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lriihlaalsriaia. What is prob of sequence his?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 176, -4 in ascending order.\nAnswer: -4, 1, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(-1\/11)))\/(r\/(r*r**(2\/39)\/r*r))*r**24\/r**(-33) assuming r is positive.\nAnswer: r**(24436\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-2 - -2)) + (7 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 27 = 58. Suppose -d*u = -38*u + 1722. What is the remainder when u is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4666983 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31574081 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c75 - -7697?\nAnswer: 952c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 83119*m + 1620 wrt m.\nAnswer: 83119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/55 + 20\/((-3300)\/135). Which is the closest to s? (a) 1\/3 (b) 0.1 (c) 15 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -1.8.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/94 and 121\/25944.\nAnswer: 25944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmllmlllmmcmmcml. What is prob of sequence mcll?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -111, -112, -119, -132, -151, -176?\n\"Answer: -3*n**2 + 8*n - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, 1\/4, 1\/3, -45, 0.1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7433798 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258663 is divided by 655.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-2) - (-4)\/88*-84. Suppose 0 = -4*v + 1 - 5. Is v less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8155097667?\nAnswer: 3, 587, 1543649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764*a + 665*a - 18*a**2 - 1428*a + 17*a**2 - 1250.\nAnswer: -a**2 + a - 1250","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 10:45 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6402399, -12804840, -19207281, -25609722, -32012163?\n\"Answer: -6402441*j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d**3 - 11*d**2 - 1236 + 18*d**2 - 7*d**2 + 1231.\nAnswer: -27*d**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3209?\nAnswer: 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 550 and 434775.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 1 - 4. Let y(t) = -t**3 - t - 3. Let u be y(v). Let i = -16 + u. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**3\/6 + r**2\/2 - 4*r. Let g(u) = 7*u + 8 - u - 2. Let j(o) = o**3 + 6*o**2 - 2. Let s be j(-6). Give s*g(w) + 10*m(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + t = 1430. What is the least common multiple of t and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {f: 5, r: 3, p: 6, b: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 11. Let h(o) = -5. Let s(m) = -5*h(m) - 3*i(m). Is 6 a factor of s(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9728400 divided by 330.\nAnswer: 29480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-3))\/(1\/6). Let p = 0 + -5. List the prime factors of p\/(5\/2) + u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1377, 2748, 4119, 5490, 6861?\nAnswer: 8232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6792 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/(1218\/(-12))*-4)\/(110\/(-70))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50656955 to the power of 1\/2, to the nearest integer?\nAnswer: 7117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + (0 - (-294 - (1 + -2)))?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 4)*(0 + 2 + 1)*((0 + 2 + 0)*(-1 + 7 - 1) + 2 + 0 - 5)*(0*o**3 - o**3 + 4*o**3) as s + m*o**2 + v*o**3 + j*o and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*i + 53 = 0, -10*p - 23 = -11*p - 4*i. Sort 42, -0.3, p, 8 in descending order.\nAnswer: 42, 8, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000063485 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -35*y**5 - 25*y**4 + 955*y**3 + 2565*y**2 + 1080*y - 540 = 0?\nAnswer: -3, -1, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3706 divided by -276?\nAnswer: 1853\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -2. Let q be -1 + (-1)\/4*-2. Let v = 2060.5 + -2060. Which is the nearest to q? (a) i (b) 1\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let w = -1.7 - g. Let u = 0.5 - 0.7. Sort -1, w, u.\nAnswer: -1, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18630858 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:00 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 5873*j**3\/3 - 392*j**2 - 2*j + 985. Find the second derivative of a(r) wrt r.\nAnswer: 11746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b9 - -26?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)*q\/(q\/(q**(-6)*q*q)))\/(q**(3\/8)\/q**(-5))*((q\/q**(-2\/3)*q*q)**(-2\/17))**16 assuming q is positive.\nAnswer: q**(-2259\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*1*(-2)\/2. Let o(l) = 2986*l + 44793. Let t be o(-15). Put t, 2, f in ascending order.\nAnswer: 2, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 687\/(-126) - (-1496)\/264 - (160908\/(-280))\/23?\nAnswer: 126\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2. Let c(a) = 3*a**2 + 2*a**2 - 13*a**2 + 14*a**2. Suppose -s = -6*s + 15. Let m(i) = -5*i**2. Let x(r) = s*m(r) + 4*c(r). What is g(x(u))?\nAnswer: -243*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**4*h*h*h)\/h)\/(h*(h\/(h\/(h*(h\/(h*h*h**2))\/h*h)))\/h*h*h)*(h**(2\/11))**(6\/13) assuming h is positive.\nAnswer: h**(1013\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = 9*y. Let v be (-1*y + -19)*(-18)\/(-36). Let m = v - -6. What is the closest to -18 in 3, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - a + 2*a - 94 = 0, 3*t = -5*a + 86. Let r be t\/18 - (-2)\/9. Find the second derivative of -o**r + 0*o - 4*o + o wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -950*y**3 - y + 0*y + 2*y + 1900*y**3 - 32*y**2 - 937*y**3.\nAnswer: 13*y**3 - 32*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 11*n - 1. Let m be w(-9). Let v = m - 45. Which is bigger: -26 or v?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 - 2*z - 2*z + z**4 + 0*z - 3 - 3*z**4 to d + f*z + i*z**4 + j*z**3 + h*z**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 7*i + 6. Calculate the remainder when 205 is divided by h(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 77. Let x be 1 + (-8)\/z + 22802\/(-10). What is the common denominator of x\/32*(-1)\/(-6) and -151\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 9*s + 9. Let g be f(-7). Let k be 4\/g - (-27056)\/104. Suppose 4*l = -4*j + k, l = 3 + 2. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 170*y + 4256. Calculate o(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1744 = 2*x - 3*h, -57*x = -53*x - 3*h - 3494. Does 125 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 1 - 1\/30*c**6 + 0*c**2 + 1\/20*c**4 + 0*c - 2\/15*c**3 + 2\/25*c**5. Determine d so that o(d) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 44*z + 167. What is v(36)?\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*c - 24594 - 2809 - 4331 = 0 for c.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/17 - 3402214*m\/17 - 3402212\/17.\nAnswer: -2*(m + 1)*(m + 1701106)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 10 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 12) to base 11\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (202\/(-505))\/(2\/40)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005163264 to 7 decimal places.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 r when three letters picked without replacement from rrtct.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x + 9*x + x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41410114 (base 5) to base 15.\nAnswer: 6b1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 1375792?\nAnswer: 1375792.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 999?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 5. Let z be g(5). Which is the biggest value? (a) 0.3 (b) z (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78630403133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/192 + -167\/4800. Let j be (-1)\/(-4)*16\/(14 - 13). Which is the third smallest value? (a) 2\/7 (b) n (c) j (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-392 - 197 + 760 + 1 + 4 - 3 + (2 + 0 - 3)*(-2 + 1 + 2))*(-1 - 5*o**2 - 17*o - 1 + 19*o).\nAnswer: -860*o**2 + 344*o - 344","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1549 + 1548. Let o = -0.69 - -0.99. Which is the nearest to j? (a) o (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/13 - 232*j\/13 + 6390\/13.\nAnswer: 2*(j - 71)*(j - 45)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023345727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 5*c + 4. Let h(k) = 3*k**3 + 4*k - 3. What is 4*h(z) + 3*p(z)?\nAnswer: 6*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73003736 by -10477.\nAnswer: 6968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s, -18 = -4*d - s - 5. Let n be d\/(-6) + 3\/36. What is the closest to 0.2 in 2\/9, 4, n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1 (c) 2\/45 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 4469 + 4469 - 10*b + 9*b**2. Suppose 4*v - 1 - 31 = 0. What is d(v)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4532 by 2697.\nAnswer: -4532\/2697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8 + (1220\/80 - 20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23707 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28227.406542995 and 0.2.\nAnswer: -28227.206542995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 252229*l. Let p(h) = -8*h**2. Give p(z(v)).\nAnswer: -508955747528*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 2*s + 17, -s - 313*t + 318*t - 28 = 0 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {j: 1, r: 1, l: 2, a: 1, m: 1, p: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 18*b**2 - 16*b - 162. What is the units digit of f(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3961 and -4.\nAnswer: -4.3961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19285 = 1146*v + 10511 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 + -4.71. Let r = 0.21 + x. Round r to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/(-20)*2\/((-12)\/(-27)). Suppose -x*s - 15*s + 192 = 0. What is the remainder when 38 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 9402659, 4, -2 in ascending order.\nAnswer: -4, -2, 3, 4, 9402659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.912 and 0.78942?\nAnswer: 2.29879104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqmfupu. What is prob of sequence qp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 18.7. Let z = t + 1.2. Which is the smallest value? (a) 2\/7 (b) z (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*h + 4026 = 2388 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)*v*v*v*v)**(-1\/8)\/(v**(4\/7)*(v*v**(-5\/4)*v)\/v*v)*(v*v*v**(-2\/9))\/(v*v\/v**(2\/19))*v**(-2\/13)\/v**(-1\/3) assuming v is positive.\nAnswer: v**(-891409\/497952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*o - 5*h, o - 6 - 6 = -3*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = z, 8*z - 11*z = 2*o - 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(246\/738)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36482?\nAnswer: 2, 17, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 8:46 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*w**2\/4 + 35391*w\/4 + 15165\/2.\nAnswer: (w + 5055)*(7*w + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.972776 centimeters to micrometers.\nAnswer: 9727.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 990212219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/8 and -35\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j + 34*j - 8 + 28*j - 4*j**2 - 2. Is v(7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**3 - 3*q - 4. Let w be o(-1). Suppose -u + 3*g = -24, -w*g = -4*u - 0*u + 56. Suppose -61 = -u*k + 488. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/10 + (-252)\/(-45). Let r = p - 5. Suppose r = x + 3*l - 2 - 14, 4*l = 4*x. Solve -5 = x*m + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182569, 182592, 182631, 182692, 182781, 182904, 183067?\nAnswer: 183276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1620 and 16?\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*l - 0*l + 5*a, 3 = 3*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 9*w - 16 = 0. What is the units digit of -2*(36\/w)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 76031*w = -76032*w - 44, -132 = 5*d + 4*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 10 - 6 - 1 - -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - 2*j**3 + 0*j + j**3 + (j**2 - 4 + 4)*(-2 - 3*j + 2).\nAnswer: -4*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 0.09 (c) 4 (d) 1 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**5\/g)\/g*g**(-1\/4)\/g*(g\/(g\/g**(-6\/17)))**(-47) assuming g is positive.\nAnswer: g**(1315\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023 a factor of 5586759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 237.5279 weeks?\nAnswer: 143656873920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 5)\/1 + 3. Solve -10 - 10 = -5*q, -5*i = -f*q - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31530659.\nAnswer: 31530659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 378\nAnswer: 11\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.51588 kilometers in nanometers?\nAnswer: 34515880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-760)*6*(-4)\/(-12)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2545 = -5*s + 2*s + 4*a, a = 4*s - 3389. Suppose n - 843 = -4*h, 4*h = 2*n + n + s. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2\/3))\/r)\/(r**2*r)*r**(-2\/7)*r*r*r*r\/r**(-6))**(2\/33) assuming r is positive.\nAnswer: r**(254\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -91 - (31 + (-26 - 57))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 241.38 and 1?\nAnswer: 241.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -82, 64 in decreasing order.\nAnswer: 64, 4, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -11. Let y(p) = -p**3 + 2*p**2 + 2*p + 3. Determine y(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**4 + 22*f**3 + 36*f**2 - 112*f - 128 = 0.\nAnswer: -8, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/133056 and 80\/31563?\nAnswer: 22220352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107209?\nAnswer: 107209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 14) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 7636*l**2 - 107492*l + 376908.\nAnswer: 4*(l - 7)**2*(l + 1923)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 6:51 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 372387991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650327788?\nAnswer: 2, 43, 9594929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -182 - -263. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-49 - -14 - 6 - -8)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 16 = 2*h. Let d be (h - (3 - 1))\/(-1). Suppose 2*u = -r + 2, 2*r + 2 = -3*u + d. Calculate the lowest common multiple of 4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - c + 2 + 11, -32 = -4*z - 4*c. Solve 4*s + u + 28 = 5*u, -u = -z*s - 23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 5*q**2 - 693*q + 6388. What is w(10)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*l + 25*l - d + 27, 2*l - 4*d - 18 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**5\/80 + r**4\/12 + r**3\/24 - r**2\/2 - 5*r. Find b, given that z(b) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h. Let n(j) = 8948365*j**2. Give s(n(v)).\nAnswer: 8948365*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from cczd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -119, 2, -9, 4 in decreasing order.\nAnswer: 4, 2, -9, -16, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 624 and 12816.\nAnswer: 166608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12300.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 22.999945. What is l rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8*o + 76. Let z(m) = -m + 12. Let h(b) = -l(b) + 6*z(b). Let s(c) = 5*c - 7. Give 7*h(j) - 3*s(j).\nAnswer: -j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5315689*i**2 + 923*i + 1352?\nAnswer: 10631378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 22 = b. Is b a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 631, 628, 623, 616, 607?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 14*x - 47. What is b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 2*g. Let q be y(2). Suppose 5*m = 2*l + 2*m - 27, -m - 1 = 0. Suppose 0 = 2*r - q - l. Solve 0 = 5*o + 3*p - 5 - 5, 4*p - r = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-152)\/(-10))\/1*5. Let -67*n**3 + v*n + 44*n**2 + 36 + 35*n**3 + 36*n**3 = 0. What is n?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 125*c - 4 = -q + 127*c, -c - 2 = 107*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 340 + -343. What is the tens digit of (3887\/92)\/(219\/72 + k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96832 - 96832.72869. Let o = f + 0.704. Round o to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164547119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 514755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -13*b**3 + 6*b**2 + 401*b - 6436. Let g(x) = 7*x**3 - 3*x**2 - 199*x + 3213. Let m(r) = 11*g(r) + 6*s(r). Differentiate m(i) wrt i.\nAnswer: -3*i**2 + 6*i + 217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(325) - sqrt(325))**2)*4 - ((sqrt(78)*-4)\/sqrt(6) + (sqrt(208) + 4*sqrt(208) - sqrt(13)))**2.\nAnswer: -2941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**1\/q))**(2\/29)*(q*q*q*q**(-1)*q)**(-23) assuming q is positive.\nAnswer: q**(-1999\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 2*p - 0*p - 13, -2*i + 11 = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -87.12. Let b = s - 2. Let v = b - 0.12. Is 9 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 3*w - 16 = 0, 665*w - 662*w = -2*f - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:19 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 5, 3.\nAnswer: -84, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*v**2 + 23*v**2 + 9*v**2 + 2*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + v - 6 = i, -5*i - v + 8 = 0. Let k be 23\/7 + i\/(-7). Let y be 1\/k - 2\/(-21). What is the third biggest value in y, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 48. Suppose 12 = -5*r + v*r. Suppose -62 - 337 = -r*j. List the prime factors of j.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 29*t**4\/24 - 4*t**3 - 58*t**2. What is the units digit of j(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6224 divided by 3112?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, 0.1, -0.3, -0.34, 50.\nAnswer: -0.34, -0.3, -0.1, 0.1, 3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 55*k + 752. Let a be r(30). Solve s = -10*m - 44, -5*s - 18 = -a*m - 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = -13*q - 18. Solve 3*h = 6*h - q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 221 + -117. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/21)\/(3990\/(-1862)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2314*a + 3260. Determine g(-1).\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqq when three letters picked without replacement from {q: 2, f: 3, p: 1, m: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 15*l - 13. Let s = -22 - -38. Let i be x(s). Solve -5 = -2*t + i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(209) + sqrt(209) - sqrt(209))*1)\/(-6*sqrt(44)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*b + 82*b + 6718 - 868 = 0 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/4476 and -2\/525.\nAnswer: 783300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 - 150.101. Let d = y + 0.1. What is d rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3151*w - 16. Let l(r) = 6300*r - 41. Calculate 5*d(p) - 2*l(p).\nAnswer: 3155*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5819457873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.02, 1\/6, -1.4, 2 in descending order.\nAnswer: 2, 0.2, 1\/6, 0.02, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 8 - l + 3*l - 2*l as d*l**2 + f*l + j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 745 divide 1045235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 4*z**2 - z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1662*q - 2308*q + 63520 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10434 + -421?\nAnswer: -11255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.1 (c) -0.5 (d) -1\/6 (e) 1\/4 (f) -2344\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8727696323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-85))\/(2\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from qqeqddqdzqqbdqqeq?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6834.99 + -10\nAnswer: -6844.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -38*o. Let w(r) be the second derivative of r**3\/6 - 10*r. Calculate v(w(l)).\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 3*v**2 - 2. Let r be u(3). What is the units digit of r\/(-6)*-38*(-30)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -553, -554, -565, -592, -641, -718, -829?\n\"Answer: -m**3 + m**2 + 3*m - 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2134*q + 174*q + 1975*q.\nAnswer: 4283*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(13)*4*2.\nAnswer: -32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1727, -3454, -5181, -6908?\n\"Answer: -1727*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8 or 1\/44?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -201, -370, -539, -708?\n\"Answer: -169*m - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 49735.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-238)\/68*(-36)\/7. Let j be (-48)\/18 + (-4)\/z*6. Let u(r) = 5. Let l(x) = x - 14. Give j*l(k) - 11*u(k).\nAnswer: -4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*z**4 - 1480 + 1480)*(2 - 2 - 1)*(-1 + 3 - 4) + (2*z**2 - 3*z + 3*z)*(-3 + z**2 + 3).\nAnswer: -46*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*w - 76, 2*w - s + 1 = 44. What is the greatest common divisor of w and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 1.3. Let v = -3 + 2.4. Let i = v + r. What is the third biggest value in -3\/4, 1, i?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11021 (base 3) to base 7\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 37. Suppose -2*s + 172 = -5*w, 7*s + 166 = -5*w + 3*s. Let l be w*(-2)\/20 + (-32)\/80. Which is the closest to l? (a) 1 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.21321 litres?\nAnswer: 2213.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(-5 + (sqrt(684) - (4 + sqrt(684) + 0)) + sqrt(684) + (sqrt(684) + sqrt(684) + 2)*-5 + 2)**2.\nAnswer: 1836*sqrt(19) + 55698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -1e97?\nAnswer: 1e94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -1021312002?\nAnswer: -1021311302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2280360 divided by -1240?\nAnswer: 1839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19422 (base 11) to base 6.\nAnswer: -325332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 6*b - 6. Let f be z(-4). Let h(a) = a**2 + 5*a + 2. Let s be h(-4). Sort s, 5, f in ascending order.\nAnswer: s, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 1 - 7 - 18*k - 3 to s*k + v and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1262*k - 1972*k - 467*k + 36*k + 187*k)*(7*k + 2*k**2 - 7*k).\nAnswer: -6956*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18860 (base 10) in base 11?\nAnswer: 13196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 36. What is the highest common factor of 100 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4519755349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -0.3, 84, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - d - 9 = -3*s, 0 = 139*d - 141*d - 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -580 - -572. Let p(f) = 2*f - 24. Let d be p(7). Is u > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 - -f?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 14*t + 4. Let i(n) be the first derivative of 4*n**2 - 4111. Calculate g(i(s)).\nAnswer: 112*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-27 - 1)\/(-4). Solve -2*b = r*w - 4 + 1, 4*w - b = -7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 8 (c) -3 (d) 4 (e) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*f + 2559 = -211*f + 2019 - 12410 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/52)\/(10\/4))\/(6\/15)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 6 - 3 - -3. Let t = -0.1 + 0.1. Let l = -1 + t. Which is the smallest value? (a) 0.3 (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 49*n**2 - 55*n**2 - 127*n + 3.\nAnswer: -5*n**2 - 127*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26450 and 566030?\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((1110\/20)\/((-18)\/16))\/(39\/234*-4)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46079594 is divided by 15684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -4, -5, 2\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 10:11 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3146 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -63, -50, 19, 162, 397, 742, 1215?\nAnswer: 1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, 0, 0.1, 3\/85 in decreasing order.\nAnswer: 4, 0.3, 0.1, 3\/85, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-20)*((-70)\/21)\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709*p**2 - 1422*p**2 + 722*p**2.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13008 divided by -3252?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**4\/3 - 11*k**3\/3 + 155*k**2\/2 - 308*k. What are the prime factors of g(14)?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -14256*w + 22538737. Determine a(1581).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3, 2*k + 25 = 5*q + 142. Suppose h + k = 4*h. Let b = 4 - 1. Calculate the remainder when h is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -305 - -312. What is the smallest common multiple of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3502421 is divided by 79599?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-4)\/112)\/((1\/(-1))\/44).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/11 - 20*t**3\/11 + 18*t**2\/11 + 320*t\/11 - 800\/11 = 0 for t.\nAnswer: -4, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10777*o - 327*o**2 - 10777*o + 2177*o**2.\nAnswer: 1850*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.75 + -0.75. Let h = -30.8 + x. Let d = -0.2 - -0.7. Which is the third smallest value? (a) 3 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2188 + 809 = 111*i. What is the remainder when 881 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60459, 240844, 541485, 962382, 1503535?\nAnswer: 2164944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**3 + 2 - 2)*(-4 + 1 + 2) + 442525*u**3 - 4*u - 442438*u**3 + 6*u as r*u**2 + t + p*u**3 + b*u and give p.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - 2*n - n)*(1670 - 634 + 1350 - 623 + 3817) to x + q*n and give q.\nAnswer: -27900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3)**(-11)*(p**(-33))**(1\/20) assuming p is positive.\nAnswer: p**(-693\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, 3, 67, 4, -9, -2 in increasing order.\nAnswer: -9, -4, -2, 3, 4, 11, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20914388?\nAnswer: 2, 11, 475327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7573, -30080, -67521, -119896, -187205, -269448, -366625?\nAnswer: -478736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 + 0.8. Let m be ((-4)\/18)\/((-4)\/(-2)). Let h = 51\/4 - 12. Sort m, g, h in increasing order.\nAnswer: m, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.160539 + 863270.\nAnswer: 863269.839461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 14, 29, 50, 77, 110, 149?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**5\/20 + 5*r**4\/12 + r**3\/6 + r**2 - r. What is the least common multiple of 16 and b(4)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + 60. Suppose -4*o + 5*n + 224 = 0, 4*n = -y*o + n + 224. Calculate the remainder when o is divided by -2*(-57)\/(-18)*-3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Let q be l(0). Suppose q = -4*s - 3 + 7. What is the second derivative of -1 + 26*x**4 - 19*x**4 - 4*x + s wrt x?\nAnswer: 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - 27. Let l = 64 + t. Suppose c - 4*j + l = -0, 4 = -c + 3*j. Solve 0 = c*q + 3*f - 2, -q + 5*f + 2 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*y**5 - 3*y**5 - 19*y**5 - y**5 - 3*y**5 + 3*y**5 + 0*y**5 - y**5 - y**5 + (-y**4 + 2*y**4 - 3*y**4)*(5*y - 2*y - y) + 3*y**4 - 3*y**5 - 3*y**4.\nAnswer: -78*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-45)*3\/6*3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29234 is divided by 637?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-13)\/(-3) + 12\/(-3))*-1119. Let w = b - -458. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105652 is divided by 4211?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -123, -182, -241, -300, -359?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -21) + ((-150)\/21)\/(-5).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/8 + 1)*8. Let a be -3*(-3 - 3\/9). What is the greatest common factor of w and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwww. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-3\/5)*k*k*k*k*k\/(k\/(k**(-4)*k)))\/(k*k**(-2\/3))**38 assuming k is positive.\nAnswer: k**(-154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10610 + 10610. Solve z = x + 49 - 56 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 8*z + 462 = 1012. Solve -z*s + 45*s + 34 = 2*b, -2*b = -2*s + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872167897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(72\/(-15))*(2 - -2). Suppose 3*y - 5*p - 17 = 9, -22 = -y + a*p. Solve -y*o - 8 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 + 2*r**2 + 2*r - 3. Let a be c(3). Let h be a\/2*(-2)\/3. Solve 5*l - 3*g = 2*g - 15, 3*g = 2*l + h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/3960517 and 27\/19802585?\nAnswer: 19802585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 503991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4901 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -372 - -9?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 157883133 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -c - 2*p, 3*c + 32 = -p. Let g be (-3)\/(-5) + c\/20. Solve -3*b - b - 4 = g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*q + 60, -4*s - 6 = 3*q - 4*q. Let a be 6\/(-3) - (-3)\/((-6)\/q). Calculate the common denominator of ((-11)\/(297\/(-174)))\/(8\/a) and 131\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.234 + 0.034. Let o = l - -1.16. Which is the second smallest value? (a) o (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042775 rounded to five dps?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 1 - 1\/4*h**2 + 1\/4*h**4 - 1\/12*h**6 - 1\/10*h**5 - 1\/2*h + 1\/3*h**3. What is t in j(t) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rws when three letters picked without replacement from {s: 1, v: 1, w: 2, r: 1, u: 1, p: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -25*o**4 - 5*o**3 - 50*o**2 + 155*o - 165. Let r(l) = 2*l**4 - l**3 + l**2 + l + 3. Let q(h) = -a(h) - 15*r(h). What is x in q(x) = 0?\nAnswer: -3, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76661976 and 114992964.\nAnswer: 229985928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**5\/5 + 1927*m**4\/4 - 7136*m**3\/3 + 9255. Find the third derivative of z(l) wrt l.\nAnswer: 24*l + 11562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 1, g: 1, f: 1, h: 1, n: 2}. Give prob of sequence gh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1781 - 1781 + 23798*i + 6872*i.\nAnswer: 30670*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)*c*c**4)\/(c\/(c*(c**(1\/2)\/c)\/c)*c)**(3\/17) assuming c is positive.\nAnswer: c**(707\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 5*o**2 - o - 3. Let d be f(-5). Let l = -0.3 + 0.3. Which is the third biggest value? (a) l (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114002 + -882261480\/7739. Are u and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1703313 (base 9) to base 12.\nAnswer: -3981b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*n**3 - 24*n**3 + 0*n**3 + 50*n**3 + 17 + n**2 - 12 to the form x*n + i*n**3 + d*n**2 + q and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1796*m - 13036*m = -164944 - 977120 for m.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -134 (b) -1.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*7 - (-20*390\/(-150) + -47).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 + 16. Let o be a(-5). Suppose 0 = -3*n - 264 + 933. Let v = n - o. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 0 + 2 - 3*g + g**2 - 2. Let v be d(0). Does 7 divide (0\/1)\/(1 + v) - -45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444 = 20*f + 54*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 7 + 8. Let w be (-4)\/8*2\/(-1). Let u be (-9 + 9)*w\/(-2). Solve u = -3*g + 2*g - p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8 + 2*s - 3 + 1. Suppose -2*j = -5*q - 10, 5*j - 1 + 14 = 3*q. What is m(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11665*a*d**3*j*k**3 + a*d**3*j*k**2 - 3174915*a*d**3 + d*j + 130*j*k**3 wrt k?\nAnswer: -69990*a*d**3*j + 780*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -14, 6 in ascending order.\nAnswer: -14, -0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1634, -1643, -1652, -1661?\nAnswer: -1670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = 5*x + 35, -2*x = 3*d + 25. Suppose -2*b - 5 - 6 = 5*u, 0 = -4*b - 12. What is the nearest to 0 in -0.5, d, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3582 and 191831622?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(4\/29))\/((-2)\/2))\/((-14411)\/14411)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18204 and 574?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9 = -11. Let j(u) = 3*u + 16. Let g be j(-5). Which is the third biggest value? (a) -0.1 (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 2*z**2 + (-4*z**2 + 5*z**2 + 4*z**2)*(-5 + 2 + 4))*(5*z**2 - 21 + 21).\nAnswer: 15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/4 - (-5)\/(-20). Let v be (-114)\/(-24) + g\/(-8). Suppose 14*j = v*j + 360. Which is bigger: 41 or j?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.675326 litres?\nAnswer: 2675.326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - 3.98. Let x = 1 - 0. Let o = 8.3 - 8. Which is the second biggest value? (a) x (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 4, -1 in increasing order.\nAnswer: -5, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q - 1 = 0. Suppose 3*i + 2 = -4*t, q = 2*t - 1. Let w(o) = -o - 1. What is the units digit of w(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 211844 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*l = 89*l - 162. Suppose 215 = 5*h + 5*t, 3*h - 2*h = 2*t + 52. Suppose 2*b = l + h. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30134 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31469.\nAnswer: 31469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/267640 and -121\/1605840.\nAnswer: 1605840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**5\/10 - k**2\/2 + 2*k. Let y be t(1). What is the derivative of y - h - h - h wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3274.594 plus -8?\nAnswer: 3266.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (5 + -5 - 10) + 6\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896788635.\nAnswer: 3, 5, 67, 809, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33167658 + 9132342. Round j to the nearest one million.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 11:26 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10584*l + 10545*l - 21183*l.\nAnswer: -54*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 26 = 44. Suppose -z*i + 2896 = -479. Let q be (-5)\/(i\/548990) + (-4)\/30. Round q to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 10:51 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006448 to six dps.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -31. Let b be p + -3 + -3 + -6. Sort -2, b, -1 in increasing order.\nAnswer: b, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -645905703 divided by -3?\nAnswer: 215301901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 354294*d**4\/5 + 1397493*d**3\/5 + 2061612*d**2\/5 + 1347696*d\/5 + 65856.\nAnswer: 3*(6*d + 5)*(27*d + 28)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00183182 to 5 decimal places.\nAnswer: -0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4361476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.361166 to three decimal places.\nAnswer: -4.361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 65\/(-18)*((-285236)\/(-2379) - 120)\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgcgcgc. What is prob of picking 2 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s - 281. Let n(l) = -4*l - 280. Let i(b) = -6*n(b) + 5*w(b). Let z be i(0). Suppose 9*t = 4*t + z. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 = 3*p, -5*j = -5*p + 32 - 82. Solve -5*t + 5*w + 25 = -5, -j*w - 14 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8872 divided by 636?\nAnswer: 2218\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2\/9 (b) 0.2 (c) -19\/1578\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 + f + 6 - 6 + (2*f + 10*f - 3*f)*(1 - 4*f**2 - 1).\nAnswer: -34*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25503581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.3, 95.9673, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.45 - 90761.\nAnswer: -90760.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l - 325. Suppose 0*a - 5*a + 3*q = -l, -4*a + 79 = 3*q. Suppose p = -2*j + a - 3, -p + 28 = 5*j. Solve p*b = -2*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.999 rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4959789\/574 + 203827\/41. Let b = j + 3675. Calculate the common denominator of -81\/16 and b.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-4)\/((-2)\/2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b4a63 (base 12) in base 11?\nAnswer: 151781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1701207\/128 + 13291. Find the common denominator of d and 21\/268.\nAnswer: 8576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526366.6 micrograms in tonnes?\nAnswer: 0.0000005263666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 17. Suppose -7 + 22 = -2*m - 3*o, 0 = -2*m + 5*o - 7. Let j be t(m). Suppose 5*n - j*n = -120. Solve 5*l = b + n, -7*l + 2*l = 2*b - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -971819 divided by 1.\nAnswer: -971819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 14. Which is the biggest value? (a) -4 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5\/5 - 438*c**4\/5 + 2124*c**3\/5 - 1242*c**2\/5 - 3807*c\/5 = 0. What is c?\nAnswer: -1, 0, 3, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274532048 divided by 43792.\nAnswer: -6269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21211122 (base 3) to base 11.\nAnswer: -4325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 2*n + 20. Let x = -86 + n. Suppose m + m + x*t - 304 = 0, 157 = m - t. Does 40 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 w when four letters picked without replacement from wddddwwd?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5158*z**2 + z**3 - 5158*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-415)\/(-15687)*81*-1*3\/(-10)?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/294*6)\/((-24)\/(-21))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 457 - (0\/1 - -1). Let t = 1141 - x. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 26 = -5*m, 2*d = 4*m - 13 - 9. Suppose 5*r = m*r - 9. What is the smallest common multiple of 6 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.869498 to three dps.\nAnswer: -2.869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 8*m + 20. Let v(p) = p**2 - 7*p + 18. Let a(j) = 2*f(j) - 3*v(j). What is b in a(b) = 0?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2016 in -4, 1, -2, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010111011 (base 2) in base 14?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -23534?\nAnswer: 23534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 - -120. What is the remainder when 32 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 40*k = -4*k + 632128. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 6:51 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2)*(-32)\/12. Let o be (-6)\/(-9) + p\/(-3). Let r be (1\/(-3))\/((-19)\/(-6)). Which is the third biggest value? (a) r (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1385021 and 7585.\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-15)*10\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (79 + -82 - (9 + -2))*(-985 + -3). Calculate the greatest common divisor of z and 1064.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(7200)*-1 + sqrt(50))\/(-3*sqrt(640) + sqrt(640)))**2.\nAnswer: -419\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -58 + 2. Suppose 2*s + 2*n = 0, -4*s + 4*n + r = -s. Suppose -q - 5*u = s*q - 373, -2*q = -u - 266. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l**3 - 169 + 169)*(4*l - l - l).\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1925 + -1530. What is the remainder when c is divided by 55?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q + 4*o = 1, 24 = 4*q + o. Let v be 12\/(-9) + 0 + 2. Let a = -4.9 + 4.8. What is the nearest to a in 0.4, q, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(360) - (-1*sqrt(5760) + sqrt(5760)))\/(sqrt(40)\/(sqrt(5) - (sqrt(5) + (sqrt(5) - sqrt(10)\/sqrt(2))*3) - sqrt(5))).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/m**(1\/3))\/m))\/(((m**17\/m)\/m)\/m)*((m\/m**(5\/4)*m*m)\/m)\/m**(-6) assuming m is positive.\nAnswer: m**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 477 + -757. Let f = o - -564. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 6*k = -k. Suppose -b - 14 = -5*g, k*g - 4*g = 2*b. Solve -g*f + 0*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161172 is divided by 1127.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(((-6)\/(-40))\/((-153)\/(-102)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 801*p - 799*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 50*z - 3. Let g(i) = -2*i + 27. Calculate g(a(u)).\nAnswer: -100*u + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/((-420)\/224)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a. Let s = 12869 - 12869. Let h(b) be the third derivative of 7*b**2 + s*b + 0*b**3 - 5\/8*b**4 + 0. Give h(n(p)).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1489, 2980, 4469, 5956, 7441, 8924?\n\"Answer: -s**2 + 1494*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 + 133*p**2 - 46*p - 1316. Determine q(66).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -15. Suppose -3*o + 2288 = k - 698, -4*k = -p*o - 11928. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-9 + -8 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2084781 (base 10) to base 16.\nAnswer: 1fcfad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 94 = 5*t - 7*t, 0 = 4*q - 4*t - 356. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-3)\/((-3)\/(-3)). Suppose -184 + 14 = -f*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5\/11 + 10*h**4\/11 - 205912*h**3\/11 - 3326112*h**2 - 167232384*h - 163924992 = 0. Calculate h.\nAnswer: -132, -1, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44883 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 - (6 + (-14 - 9) + -6).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*v = -16, i + 740 = 4*v + 761 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3420, 6832, 10242, 13650, 17056?\nAnswer: 20460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 265040*n**3*y**2 - 1591*n**2*y**2 + 38*y**2 wrt n.\nAnswer: 1590240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*v**3 - 3 + 3 + 0 + 399*v**3.\nAnswer: -45*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67770034 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*p + 4, 5*q + 4*p = -0*p + 8. Solve -3*x - 32 = -4*n, -q*x + 3*x - 3*n = -11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.68 + 5.52. Let w = -8 + p. Let g = w + 1.7956. What is g rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f = 55*f + 7557. Which is smaller: f or -230?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.9 (b) -0.02 (c) 4 (d) 0.0038 (e) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15a9a + 1?\nAnswer: -15a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -550 + 261. Let u = 310 + j. Solve u = -3*k + 10*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1123449905 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 8*c - 352 = 0. Calculate the highest common factor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 9 + 3)*(20*d**3 + 2*d + d**4 + 25*d**3 - 24*d**3).\nAnswer: -16*d**4 - 336*d**3 - 32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 36\/123281 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + (-37 + -7 - 6 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**4 + 11*f**3 + 4*f**2 - 3*f**2 + 2*f + 1 - 5*f**3 to the form w*f + g*f**3 + r*f**2 + h*f**4 + b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6404 - -35?\nAnswer: 6442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/10 + (-4)\/10. Let t = 7\/6 - g. Suppose 0 = 146*v - 103*v + 86. Are t and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -153*p - 5. Let i(h) = -77*h - 2. Let j(z) = -5*i(z) + 2*u(z). Let w(s) = -s**2. Calculate j(w(c)).\nAnswer: -79*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 + 106*d - 1704. Give j(14).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1712 equal to -1665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 2) + (-1164)\/(-6). Let k = 40 - -7. What is the greatest common factor of d and k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/58497 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001649 rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-1 + sqrt(700)) + -1 + sqrt(700) + 3)*-5)**2.\nAnswer: -14000*sqrt(7) + 281225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 29 = -4*h. Let x(c) be the second derivative of -c**3\/3 - c**2 + 2*c. Calculate the remainder when h is divided by x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/225, -7, 1\/7, 0, 3 in ascending order.\nAnswer: -7, -4, 0, 4\/225, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 3*n**2 + 7*n**2 - 5*n - 5*n**2.\nAnswer: -n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 5. Let a = -48 + 47. What is the closest to a in q, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0*p**3 + 0*p + 1\/8*p**4 - 2*p**2 + 0 + 1\/60*p**5. Find the second derivative of o(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 2*d - 17, -3*h = -4*h - d + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 14*q + 42*q + 13*q - 18*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aemrrxo. Give prob of picking 1 x and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(612)*-1 + -5 - 4*2*sqrt(612))*-3 + 0 + 4)**2.\nAnswer: 167184*sqrt(17) + 16068724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912 divided by 6.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11689, -11730, -11775, -11824, -11877, -11934?\n\"Answer: -2*k**2 - 35*k - 11652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + sqrt(68) + -1)) + (sqrt(34)\/sqrt(2) + sqrt(17))*1 + -2 + (-5 + sqrt(85)\/sqrt(5))**2.\nAnswer: -10*sqrt(17) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -19. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0262*24701\nAnswer: 647.1662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (148\/156 + -1)\/(8\/(-498)) and 23\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 1. Let t(y) = 26*y - 6. Give 14*r(n) - 2*t(n).\nAnswer: -38*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2552697?\nAnswer: 3, 7, 40519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -161 - -160.7. Which is the fourth biggest value? (a) -2\/5 (b) o (c) -2\/3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0*j + 2*j)*(j**3 + 2 - 2)*(-638*j - 253*j - 777*j).\nAnswer: 3336*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -17. Let h be 48\/9 - (-2)\/3. Let w = t + h. Solve -w*v = -v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77850, 155702, 233554, 311406?\n\"Answer: 77852*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680397441.\nAnswer: 1680397441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -a545 (base 12) to base 10\nAnswer: -18053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 0 - 1\/12*q**3 + 1\/40*q**5 - 1\/24*q**4 + 1\/4*q**2 + 3*q. Factor a(s).\nAnswer: (s - 1)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11221 (base 4) to base 15.\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*y + y - 3091 = 59*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2158 + 203?\nAnswer: 2362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67830002 + 6?\nAnswer: 67830008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151 + -91. Suppose -5*b = -5 - q. What is the remainder when b is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s - 10. Calculate the remainder when x(-12) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100.01021 - -100. What is x rounded to four dps?\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 3*r**2 - r + 25. Calculate o(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 45 + 46*w**2 + 0*w + 0*w**4 + 79\/5*w**5 + 0*w**3. Find the second derivative of q(u) wrt u.\nAnswer: 948*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2))**37 assuming n is positive.\nAnswer: n**(111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 495, 0.04, 12, -127, -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = -0*r. Let a be 1*(r + (3 - 2)). Suppose f = a*m + 7, -3*f + 8*m + 19 = 4*m. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 1:35 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/4 and 126\/(-16) - 1\/((-2)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s - 27*s + 104 = -63*s + 2*y - 35, 6*s = 5*y - 106 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1500654.\nAnswer: 2, 3, 250109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.924 + -0.076. Let p = 0.13 - -0.87. Which is the smallest value? (a) -0.05 (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnwwoqnqqnxqq. Give prob of picking 1 n and 1 w.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 35*o**2 - 34*o. What is x(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 12*t + 28. Suppose 3*z = -0*z - 4*a - 11, -4*z - 2*a + 2 = 0. What is the remainder when 66\/8 + t\/(-28) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwkkwwwwwwwkkk. Give prob of sequence kk.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130 + 130 + 111*z**2 to the form b*z**2 + u + g*z and give b.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 638*y - 39176.\nAnswer: -2*(y + 83)*(y + 236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 16. Suppose -s*o + 0 = -6. Suppose o*u - 3*r = 5*u - 16, -5*r = 2*u - 12. Solve u - 3 = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1317323 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, 3, 1\/6, 0.21 in ascending order.\nAnswer: -3\/10, 1\/6, 0.21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 67*v**6\/120 + 31*v**4\/24 - 19*v**3\/3 + 2*v**2 + 20. Let k(a) be the first derivative of d(a). Differentiate k(n) wrt n.\nAnswer: 402*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(0*f - 2*f - 12*f)*(-234 + 133 + 126)*(-2 + 4 - 4 + (-3 + 0 + 1)*(-5 + 4 + 4)) to u*f + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -2a806?\nAnswer: -2a803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.3612 plus 0.7?\nAnswer: -26.6612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 0.4808 in descending order.\nAnswer: 4, 0.4808, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13714 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 163 divided by 10\nAnswer: 163\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-1))\/p**19*(p**(2\/11))**(3\/4) assuming p is positive.\nAnswer: p**(-349\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*f*g**2*o - 413*f*g*o*p + 402*f*o + 5*g**2*o - 96*g**2*p + 6*g*o*p + 262*g*o with respect to f.\nAnswer: -31*g**2*o - 413*g*o*p + 402*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111010101 - 100110110100101?\nAnswer: -11010111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a77 (base 13) in base 11?\nAnswer: 2aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2\/9 + 290*n\/3 + 1748\/9 = 0.\nAnswer: -2, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -14*o + 2. Let m(q) = -q + 1. Determine 2*i(a) - 2*m(a).\nAnswer: -26*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**4\/12 - 2*x**2. Let i(a) be the second derivative of 0*a**2 + 2\/3*a**3 + 0 - a. What is i(k(s))?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-2)*-8*6\/160*10\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 71. Let y(s) = -s**2 - 18*s - 20. Let p be y(-16). Suppose 7*n + p = -128. Are i and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1, -17 in descending order.\nAnswer: -1, -2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -28508.36121 rounded to the nearest 10?\nAnswer: -28510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -bbc1 (base 13) to base 12\nAnswer: -1319b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**4\/24 - y**3\/12 - 16*y - 22. Let n(q) be the first derivative of l(q). What is u in n(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126083*n**3 + 2095*n**2 - 2*n.\nAnswer: -756498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/84 and 145\/96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = -3*d, 2*d + 2*d = u + 19. Factor -d - 6 - o**2 - 6 - 6*o + 7.\nAnswer: -(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 21*d - 2120. Determine j(99).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnbbn. What is prob of picking 2 b and 1 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 333760 or 333764?\nAnswer: 333760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/18521 >= -0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5) + -30 - -53\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -1) + (4 - 23 - -21)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 1 - 30*j**2 + 2 + 31*j**2 + 6*j**2 - 3*j**2 - j**2 + (2*j + 3*j - 6*j)*(4*j - 2*j - 3*j).\nAnswer: 4*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 18 = 4*d, -3*d + 3*u = -2*u + 28. Calculate the remainder when 48 is divided by 14 + (-8)\/d*-3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 9*s + 251 - 251 - 4*s. Let i(g) = -17*g. Determine k(i(a)).\nAnswer: -85*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n + 150 = 24*n. Suppose -r - 39501 = -30*x + n*x, -2*r + 8 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*m - 2167*m - 27945 = 0 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 2*j - 1 + 1 + 2*j + (5 + 1 - 4)*(-1 + j + 1) to i*j + r and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, y: 5}. What is prob of sequence yiyy?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {d: 2, l: 1, g: 3, y: 3, i: 2, a: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/(-140) - 641\/44) + 14?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 7:20 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1 + 6 + k**2 - 2 - 1. Is g(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z + 4. Let r be k(0). Solve -3*t = 2*d - 6, 3 = -r*d + 5*d + t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:11 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 = 3*t - i, -2*t - 2*i + 12 = 0. Let w = 15 - t. Solve 4*h - 4 = w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - -4. Let d = -713 + 720. What is the highest common divisor of f and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.25872 nanometers to micrometers.\nAnswer: 0.09925872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, -0.281, 615 in ascending order.\nAnswer: -0.5, -0.281, 1, 615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6\/5, 0.13, -0.5, -4, 17\/6?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2 = -0*y - y, 0 = 5*y + 2*v + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3048695296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*sqrt(17) - (2 + 2 + sqrt(17) + sqrt(17) + sqrt(17))**2 - (-6*(sqrt(1377) + (sqrt(1377) - (-4 + 1 + sqrt(1377)))))**2.\nAnswer: -50069 - 1969*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 4, m: 1, b: 2, g: 2}. Give prob of picking 2 b.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16534\/7 + (4 - 10) + -5 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.4 - 5.514. Let n = t + -0.886. Which is the nearest to n? (a) -5 (b) -0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-20) - 36\/10. Is (-21)\/w - 2\/8 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 28 = 4*s - 0*g, -2*s - 3*g = 0. Sort 2, -2, s.\nAnswer: s, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -17*p + 8. Let l be ((0 + -6 + 7)\/(-3))\/(9\/(-189)). What is a(l)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*z - 9*z - 26, 4*y - 28 = 2*z. Let l be -4 - (4 + -2)\/(-2). Sort z, l, 4 in decreasing order.\nAnswer: 4, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-142753\nAnswer: -28550.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425385666?\nAnswer: 2, 3, 23632537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 2:56 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-195)\/(-455))\/((-2)\/14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24055 times 13187?\nAnswer: -317213285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -38109 divided by 12703?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 267 + -262. Suppose -4*n = -2 - 6. Suppose 0 = 4*z, -n*p + 47 = -5*z + 11. What is the remainder when p is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 4, t: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/193 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*h = 3*y - 259, 4*h = -3*y + 145. What is the remainder when 67 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*w - 0 + 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -2*u**2 + 4*u - 179. Let h = 14 + -9. Determine x(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*n - 4493 + 7229 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-360)*678276\/227\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m + 6. Let n(z) = 14*z + 11. Determine 2*n(p) - 5*s(p).\nAnswer: -7*p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 806621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -430, -641, -848, -1051, -1250?\nAnswer: -1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 3*q**3 + 0*q**3)*(q**2 - 3*q**2 + 0*q**2) - 54*q**5 - 41*q**5 - 55*q**5 + 48*q**5 - 4*q**5 + 0*q**4 + 0*q**4.\nAnswer: -108*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a. Let w(z) = -4 + 5*z + 6 - 2. Give w(d(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.8948854667871 minus 0.5?\nAnswer: -82.3948854667871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**4\/2 + 2*y**3\/3 + 6*y**2. Is q(3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 844 and 152916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - (-12 + -19 + 4 + 39) - (2 - 16)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c\/(c*c\/c**(1\/4)*c))\/c*c*c**(1\/3)*(c**(-1)\/c)**(-3\/10)*((c*c**(-5)\/c*c)\/(c*c**(-2)*c*c*c))\/((c\/c**(6\/7))\/((c*c**(-5\/4)\/c)\/c)) assuming c is positive.\nAnswer: c**(-862\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 10. Give k(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-210)*1140\/(-912)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (119\/3)\/(2\/6). Suppose -3*c + 0 = -9, 2*s - 65 = c. Calculate the highest common factor of w and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*d - 2288 = 3847 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/(4\/8). Let d = -0.21 + 0.02. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-5)\/(-2)*8\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 124 - 244 + 132 - 4*k. Let l be w(2). Let n = -28 + 33. Solve -b - 7 = -q - 2, n*b - 2 = -l*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 246*j - 5326. Determine p(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/16? (a) -5 (b) -0.22 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) + 5\/2. Suppose 5*f = -g + 4*g + 2, -4*f - 16 = v*g. Let o = -10 + 9. Which is the closest to 0? (a) g (b) o (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.9776t to kilograms.\nAnswer: 99977.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592037373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -494795658 + 1.4\nAnswer: -494795656.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 824 and 193228.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*a = -12, -14 + 6 = -2*q - 4*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -745, -743, -741, -739, -737?\n\"Answer: 2*o - 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24232444 + -4?\nAnswer: 24232440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.306762 milliseconds in nanoseconds?\nAnswer: 8306762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-99))\/((-157885)\/13533)\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b + 13 - 2*b - 4*b. Is 11 a factor of y(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 21*a + 31. Let b be g(-9). Sort 5, 2, b, -35 in ascending order.\nAnswer: -35, 2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.32 * 257.\nAnswer: -82.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -391?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.085529 to 3 dps.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 600802*r**6 + 2*r**4 + 2*r**3 - 126424910*r**2?\nAnswer: 72096240*r**3 + 48*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -135983.49 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2216, -2231, 14.\nAnswer: -2231, -2216, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45684375 - 5.9.\nAnswer: -45684380.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 20. What is the remainder when 9 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 211*c**2 + 2320*c - 11. Let v be s(-11). Solve v = 5*b - 5*k + 50, -b + 3*k = -5*b - 19 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/36 and -79\/150754824?\nAnswer: 150754824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0 (c) 192 (d) 310 (e) -1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 9 = 7*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 48.68. Let n = -0.02 - t. What is the second smallest value in 2, n, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246434 divided by -178062?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.361267 rounded to 2 dps?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 487501.5ms?\nAnswer: 487501500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let m(k) = -583*k**2 + 2*k. What is r(m(u))?\nAnswer: -583*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1138*k**4 - 643*k**3 + 1138*k**4 + 1492*k**2 - 2274*k**4 wrt k.\nAnswer: 48*k - 3858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42569 is divided by 8478.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/3 of a decade?\nAnswer: 2360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(77)*-6)\/(6*sqrt(7)*1 - sqrt(175)*2))**2*-5.\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5966 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: Collect the terms in 12351*b**3 - 1659*b + 1659*b.\nAnswer: 12351*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -750 (base 11) in base 4?\nAnswer: -32012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14748 is divided by 1055?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12)*1)\/((-2)\/30).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (100909\/(-94))\/((-1)\/4).\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/2)\/(5\/(-3)))\/((-84)\/70).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 4*l**2 + l**4)*(-3 - 3 + 1 + (2 - 3 + 0)*(0 - 4 + 2) + 4 - 3 - 3 + 11 + 10 - 9)*(5 - 2 - 4).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 493\/5 + -99. Let r = -24.5 - -19.5. What is the second biggest value in -3, r, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 511764712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25745 and 76?\nAnswer: 102980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 15 = 0, 2*i - 1 = t. Let q(x) = x**3 + 3*x**2 + 2. Let u(z) = 2*z**3 + 4*z**2 + 3. Give i*q(f) - 2*u(f).\nAnswer: -f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 35607539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 + 4*q**2 + q**3 + (-2*q - 2*q - q)*(-5*q**2 + 0*q**2 + 3*q**2) + (0*q**2 + q**2 + 0*q**2)*(q + 5*q - 5*q).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 8*i**2 + 35*i + 118. Let p be x(-3). Which is greater: -432\/13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2295 + -25215\/11. What is the common denominator of (-75)\/(-9)*3\/(-8) and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*d + 3*d - 6, 0 = d + 5*s + 9. Suppose 19*n - d = 18*n. Let w(p) = -p + 4. What is w(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1527\/5 or 304?\nAnswer: 1527\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + j = -5, q - 3 - 16 = 3*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 9. Let p(h) = h - 9. Let c(b) = -6*f(b) - 5*p(b). Suppose -44 = 3*v - 7*v. Let u be c(v). Solve a - u = 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204324083.\nAnswer: 3, 1033, 129539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6982 divide 1492497676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9218.9 + -9219. Which is the third biggest value? (a) w (b) -0.17 (c) 0.142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3002755 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = -65\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/10)\/b**(-2\/3))**(25\/4) assuming b is positive.\nAnswer: b**(85\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from tkkkkkkktkkkkkkkkkk?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 5*h - 2. Let f be v(3). Let c(u) = -72*u + 74*u + 21 - f. Let i(j) = -j**2. What is i(c(t))?\nAnswer: -4*t**2 - 80*t - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1307812308 to the nearest integer?\nAnswer: 36164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -22271192?\nAnswer: 22271187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10212 (base 4) to base 14\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*34 + (32\/(-2))\/(-8). Suppose 354*d + t = 355*d. Solve -b = -5*y + 24, -5*y + d = -3*b - b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*r + r + 10 = 0, 16 = 2*v + 2*r. Suppose -3*l + 1 = -2, 0 = -5*u - 3*l + v. Suppose u = f - 50 - 26. Does 36 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009568998 to seven dps.\nAnswer: -0.0000957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*i - 2*z, i - 5 = 2*z + 3. Suppose 9 = 5*v - 2*l, -9 = -3*v - 3*l + 9. Suppose 6 = -v*f + 27. Calculate the smallest common multiple of i and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1736168*l**2 + 146610*l - 1?\nAnswer: 3472336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18\/50*480\/144\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d + 18. Let i be q(-8). Find the common denominator of 25\/(-110)*i\/(-10) and 74\/6*6\/(-20).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 39?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*s + 2*s + 180 = 0, 0 = -3*r + 4*s + 110. Let m be r - 0\/((-6)\/2). What is the highest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4 - 1 + 2*v - 12*v. Let o(d) = -5*d + 2. Let a(u) = -3*k(u) + 5*o(u). Let y be 6*2\/(15 - 3). Calculate a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 11 + -10 + -2 + 10*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from tnnondpntuttdtdttpdn?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 29*y**4 - 51*y**3 + 9*y**2 - 3571*y + 6. Let j(z) = z**3 - 3*z**2 - 2. Let v(i) = -3*j(i) - r(i). Find the second derivative of v(d) wrt d.\nAnswer: -348*d**2 + 288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13351 (base 7) to base 6.\nAnswer: -24421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 16*y - 200. Let d(v) = 3*v**2 - 8. Determine d(t(z)).\nAnswer: 768*z**2 - 19200*z + 119992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -12351?\nAnswer: 12354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 38516 (base 11) to base 7\nAnswer: 316625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000168112 rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2 + 12*q + 6*q**2 - 10*q + 0*q. Let r = -1 + -2. Is 23 a factor of d(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1548 - 1087. Suppose -2*o + 5*a = -1222, -2*a - 1394 - z = -3*o. Is o a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.06414189 rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(48))**2 + -3*sqrt(147).\nAnswer: -13*sqrt(3) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 174, 201, 228, 255?\n\"Answer: 27*u + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -19. Let w(f) = -f**3 - f**2 - f - 2. Let c be w(j). Let t(p) = -2*p**3 + 2*p**2 + 2*p + 1. Let g be t(-1). Put c, g, -4 in increasing order.\nAnswer: -4, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 5*l - 40, 8 - 27 = l + 5*r for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2053*i. Let u(n) = -4 + 4 - 103435*n + 103445*n. Determine u(s(q)).\nAnswer: 20530*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111101111011 - 100?\nAnswer: -111111101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82077 or 82115?\nAnswer: 82077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 9*s + 21. What is v(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - 0) + 0 - 0) + (1587 - 1568)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1478 + 0.1522. What is the nearest to 4 in 3\/5, p, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:55 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18632 and 3143538?\nAnswer: 1722658824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 2*a + 9. Let w be t(10). Let f = w + 124. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15146721.\nAnswer: 3, 853, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -11. Suppose r = -4*n - 594 + 1910. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 19. Calculate l(-19).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**6\/15 + 9*f**4\/2 - f**3\/6 - 9*f**2\/2 - 222*f. What is the second derivative of h(q) wrt q?\nAnswer: 24*q**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f - 1. Suppose 0 = -12*d + 10*d - 12. Let j(v) = v. Determine d*j(m) - a(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**2 + 2*f + 2. Let g be h(2). Let t = g + 13. Solve 0 = -2*y - 2*a - 4, 0 = t*a - 0*a + 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0*i**3 + 1\/240*i**6 + 1\/60*i**5 + 1\/48*i**4 + 0 + 0*i + 3*i**2. Factor l(s).\nAnswer: s*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 689550*47.\nAnswer: 32408850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2656 + 2658. Suppose 4*i = -3 + 11. Factor u - i*l + 1\/2*l**2.\nAnswer: (l - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 - -1.1. Let u = d + -2.8. Let q = -6 - -11. Which is the second biggest value? (a) q (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2716 - 2713. Which is the nearest to y? (a) -0.3 (b) -2\/13 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (8 - 2) + 6\/2. Solve -16 = o*x - 13*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -440742, -440743, -440744, -440745?\nAnswer: -440746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 47.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -444, -981, -1724, -2667, -3804?\nAnswer: -5129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728)*1 - sqrt(1728))*-6 + sqrt(1728))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 111001000111010101110101?\nAnswer: 111001000111010101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-120)\/(-25))\/(3\/20). Solve -5*p + n - 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.659 times -19.7983?\nAnswer: 72.4419797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(18)\/(-2*sqrt(864) + sqrt(864))*-2 - ((-2*sqrt(243) + 4 + sqrt(243) + sqrt(243))**2 - ((-2*sqrt(243))**2 + 3)))*-4.\nAnswer: -3833 - 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 359*g*r**2 + 1325*r**2 wrt g.\nAnswer: 359*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 188629757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**4\/4 - 7*u**3\/3 - 9*u**2\/2 - u + 1. Let p = 214 + -220. What is the remainder when 49 is divided by n(p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22244.901 to the nearest ten.\nAnswer: -22240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1707, -5806, -14723, -30858, -56611?\nAnswer: -94382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45 - 18 - 225)*(59 - x - 52 + 117) to the form t + s*x and give t.\nAnswer: -24552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 23*w**2 - 11*w - 13. Let n(v) = 8*v**2 - 4*v - 4. Let q(l) = -11*n(l) + 4*r(l). Differentiate q(d) with respect to d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 16*r**2 + r - 16. Let w = -11895 + 11879. Calculate c(w).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 77 = -5*r. Solve 5*q = 3*l + 4, -2*l + r*q = 10*q + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -220, -219, -218, -217?\n\"Answer: q - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 2, m: 1, v: 2, w: 1}. Give prob of picking 1 f and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -2639*z + 2647*z - 2*u, -2*u - 67 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*z - 0*z. Suppose 5*o = -z*j + 41, -2*o + 5*o = -3*j + 57. Let l = 21 - j. Solve -l*i + 12 = 5*p, 0 = -2*p + 3*p - i - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2691 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 - 13*y - 31. Let c be m(13). Suppose 5*q - 5*b = -0*q + 610, -5*q - 2*b + c = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 856\/(-1926) + 1\/6 + 21\/(-54). Sort 3\/2, -2\/7, 0, z in increasing order.\nAnswer: z, -2\/7, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591 = v - 2*y + 587, 5 = 2*v - 3*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 19. Let q be n(-12). Let t = -309 + 344. What is the highest common divisor of t and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 34*f. Let c(m) be the second derivative of 133*m**3\/6 - 3397*m. Determine c(x(j)).\nAnswer: 4522*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2837?\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*j = 129*j + 80 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2038263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1739*x**4 - 2498*x**3 - 61492*x**2 + 2*x - 60 wrt x.\nAnswer: 41736*x - 14988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + 4*t + 4*t**3 - 6*t + (-3 + 2 + 3)*(2*t**2 - t**3 - 2*t**2) - 4*t**3 + 2*t**3 + t**3.\nAnswer: 4*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7244647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + 602\/147?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.9 (b) 0.3 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -12. Let n be f + 2 - (-1 + 2). Suppose 4*x + 4*g - 36 = 0, 4*x = g + g + 12. Solve -7 - n = x*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-27))\/(3\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8842144 greater than 8842145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**5\/10 - 3*m**4\/8 + 11*m**2. Let i be n(3). Let g = i + 63. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**6\/120 + o**5\/36 + o**4\/72 - o**3\/18 + o**2 - 25*o + 27. Let h(u) be the second derivative of s(u). Factor h(a).\nAnswer: (a + 1)**2*(3*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3045768 + 0.1311726.\nAnswer: -3045767.8688274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -917532 and -6415124.\nAnswer: -7332656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:38 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/54)\/((-2)\/(-24)). Let t = 614\/45 + s. Suppose 0 = -5*u + 1 + 4. Are u and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/7 (b) 0.03 (c) 16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1086 - 1082. Let q(d) = -d**3 + 6*d**2 - 6*d. What is q(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58628?\nAnswer: 2, 14657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 1153649 and -14073.\nAnswer: 1139576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -779 + 1162. Let g = 349 - j. Which is greater: -37 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c - 6*c - 2*c + 6*c. Let x(n) = n. What is x(f(v))?\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1421*p + 8526. Let j be g(-6). Solve j = 85*s + 109 + 486 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*s + 4 = -4, -18 = -5*w + 4*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.57835 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/11 (b) 497\/2 (c) 0.5 (d) 6 (e) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/559039 - 14883295077\/11180780. Let m = z + 5912\/5. Let l = m - -145. What is the common denominator of l and -7\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {b: 3, r: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/418770 and -89\/6053130?\nAnswer: 66584430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1561*r - 3320*r - 3 + 3.\nAnswer: -4881*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346591*b - 3*n = 346588*b, 0 = 3*n + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214925082.\nAnswer: 2, 3, 37, 59, 61, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-0.04322\nAnswer: -0.0004322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1733924 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-5)\/60*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33.9? (a) 1 (b) 0.9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 57127 = -9333. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -338 + 159. Let r = -178 - x. Which is the nearest to 0.1? (a) -0.5 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a956 + 94a?\nAnswer: -a009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -308?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8217 + 5*x + 40943 + 15364 - 2*x.\nAnswer: 3*x + 64524","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 8*c**2 - 19. Let n = 1699 + -1691. Calculate k(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2067 is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 671 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by -6368.\nAnswer: -49\/6368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 16*l = 131. Let f = -127 + l. What are the prime factors of (-2 + -12)*((-10)\/f + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -398 (b) 242 (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1230, 1104, 994, 906, 846, 820, 834?\nAnswer: 894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2511543, -2511548, -2511563, -2511594, -2511647, -2511728, -2511843, -2511998?\n\"Answer: -j**3 + j**2 - j - 2511542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410 = -27*y + 35*y - 18*y, 3*d - 2*y - 82 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/32575, -6, -2\/19, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1890*h**2*t - 29399915*h**2 - 10793*h*t wrt t.\nAnswer: -1890*h**2 - 10793*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 58*a**3 + 896*a**2 - 1622*a + 783.\nAnswer: (a - 29)*(a - 27)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 357\/12 - (-5)\/(-80)*12. Suppose -12 = 5*k - 17. Suppose -k = 2*c - t. Calculate the least common multiple of 18 and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (4 + -4)) + 2639. Let n = p + -1442. Suppose 0 = u - 6*u + n. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-12) + 6 + (-9)\/(-36). Solve -13 = p*c + m, 0 = m - 3 + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 31. Let k = 0.12 + -0.12. Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -51*x**2\/2 - 71. Let f(w) = 4*w**2. Determine h(f(v)).\nAnswer: -204*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h - 8. Let r(t) = -36*t - 347. What is the remainder when z(8) is divided by r(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4134, -8413, -12692, -16971, -21250, -25529?\nAnswer: -29808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -421*c**3 - 1019*c + 1019*c - 1 + 2*c**3 + 1 + (-2*c + c + 2*c)*(-c + c + c**2) + 3*c - 3*c + 2*c**3.\nAnswer: -416*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*u - 12563 + 12582, -l = 2*u + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1142333 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -30*s + 615. What is h(23)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/3 - 21731252*j\/3 + 7243751 = 0. What is j?\nAnswer: -21731253, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 34. Put -3, q, -5 in descending order.\nAnswer: q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -664 divided by -12\nAnswer: 166\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + z. Let o(q) = -11*q**2 + 95*q - 1764. Let g(k) = -9*k**2 + 94*k - 1764. Let v(c) = 7*g(c) - 6*o(c). Let p(b) = 4*u(b) - v(b). Factor p(l).\nAnswer: (l - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 8, -f - 4 = u - 0*u. Sort 6, 1, f in descending order.\nAnswer: 6, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4 = 3*r - r, -5*r - u = 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2406294952?\nAnswer: 2, 29, 709, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -94? (a) -2 (b) -0.3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 y when three letters picked without replacement from yyayyyyyyyaa.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41347.81 microseconds to seconds.\nAnswer: 0.04134781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33384 - 23620. List the prime factors of k.\nAnswer: 2, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/112*((-12)\/30)\/((-3)\/90)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24010 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 5*s - 3. Let m be p(3). Let j be (-3)\/6 - 3\/m. Let a(w) = -w**3 - 10*w**2 + w + 8. Let o be a(-10). Are j and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**3 - 4*f. Let t = 8 - 13. Let u(j) = 5*j**3 - 5*j. Let w(k) = t*u(k) + 6*n(k). Suppose w(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 263134562450*u + 263134562450*u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 213*x + 483. What is l(73)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (19188\/1755)\/(-164)*-1905\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 0 + 0*j + 9*j**3 + 7\/3*j**4 - 38*j**2 + 1\/30*j**5. What is k in f(k) = 0?\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-3 + 5 - -16) + (-3 - 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 869084107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/((105\/6)\/(-7)). Suppose -4*a + 66 = -m*v, 5*a - 4*v - 95 = v. Let h be ((-150)\/a)\/3 - -3. Are h and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.626 times -4\nAnswer: 2.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 9*z - 2. Let r(t) = 8*t - 3. Let q(g) = 3*c(g) - 2*r(g). Suppose -w - 3 + 4 = 0. Is q(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*t + 4*v + 10, -t + 4*v = -13. Which is the nearest to t? (a) -1\/5 (b) -1\/2 (c) 0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-6)\/((-4)\/2). Let h(g) = -1205*g - 12044. Let l be h(-10). Solve -v*c - 3*d - 3 = 0, 3*c - 5*d = 15 + l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 20*b + 4. Let k be f(1). Suppose -j - k = -o + 43, -2*j = -5*o + 335. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*w + 6. Let c be (-3)\/w*(-24)\/18. Put c, 3, 4 in descending order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33aa8a2 + 4?\nAnswer: 33aa8a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 779029*a**2. Let y(p) = 340*p - 1. Give y(u(s)).\nAnswer: 264869860*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 = 4*j - 7*v, 0 = -5*v. Suppose -l = -j*l. Suppose 4*t = -l*t. Solve -o + 0*o + 5 = t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.8 + -0.8. Let n = j - -34. Let k = n - 43. Sort -0.4, 1\/8, k in decreasing order.\nAnswer: k, 1\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 613278366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118\/3 - (-31050)\/18630.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2650 and 5540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 3:28 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/9 + 2*w**2\/3 - 9*w + 130\/9.\nAnswer: (w - 5)*(w - 2)*(w + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34990 divided by -172.\nAnswer: 17495\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6*r - 160. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4806 or -2.2?\nAnswer: -0.4806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-6)\/(-5) + -1). Let t = 680\/1239 - -4\/177. Which is the smallest value? (a) t (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5179728875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-5)*(-975)\/(-26). Suppose 33 = 4*c - 0*c - 3*t, -3*c - 2*t + 12 = 0. What is the highest common factor of c and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 16. Let p(w) be the third derivative of w**4\/8 + w**3\/3 - 6*w**2. Let z(i) = 6*i + 5. Calculate v*z(d) + 5*p(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13167.3285 and -980?\nAnswer: 14147.3285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -86 + 33 - (-9 + -14)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -456 + 459. Solve -5*u + w*h - 3 - 3 = 0, 9 = -3*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from aalaazzoalaauoh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-110)\/15 + 8 - (-3)\/((-9)\/(-88)). Solve l*j + 2*j + 160 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 373, 816, 1291, 1798?\n\"Answer: 16*z**2 + 395*z - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4927\/1137 + 3*(-1)\/((-9)\/(-21))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 162205\/12183 + -22\/393. Let z = l - 10375\/682. What is the common denominator of 1644\/(-9)*3\/(-24) and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 12 + 4*n + n)*(193 - 155 - 110) to the form z + y*n and give z.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = -o - 2*o. What is o rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**3*z**2 - 9859443*b**3 + 23335*b*z - 4*z**2 - z wrt z.\nAnswer: -4*b**3*z + 23335*b - 8*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(17) + -1 + (3 + sqrt(17)*-1)*-2)**2 + -2.\nAnswer: -72*sqrt(17) + 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -580568 >= -580566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 78. Let z = 64 - g. Calculate the remainder when 148 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 2*n + 8, 0 = -9*n + 4*n + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016 at most as big as 8121\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 + 3*l**2 + l**2)*(4*l - 4*l - 2*l) + 22*l + 8*l**3 - 22*l to d*l**2 + c*l**3 + o*l + s and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2830*s - 3 = 5*f + 2832*s, 0 = -4*f - s - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -1842 divided by -6\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-336)\/96)\/(27858\/(-36)) and -35\/8?\nAnswer: 37144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.19 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.8630457 from -3690.\nAnswer: -3682.1369543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 15 and 42934.5.\nAnswer: 42949.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 142676222*f**3 - 71539011.\nAnswer: 428028666*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2248049\/6 - -374699. Let x(b) = -b**2 - 7*b - 6. Let c be x(-6). Suppose 0*r + 13 = 2*r - p, 5*p + 25 = c. What is the common denominator of r and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/24)\/((-3)\/(-12)). What is the closest to -1 in -2, r, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14250 (base 6) to base 16.\nAnswer: 8d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 5 - (11 + -25)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g + 48. Let w be a(11). Let x(k) = 31*k**2 - 1. Let j be x(1). Let d(s) = 30*s - w*s**2 - j*s. Let t(q) = -q**2. Give t(d(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58125 times -4?\nAnswer: 2.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1950, 3 in ascending order.\nAnswer: -1950, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.098 - 0.034. Let c = f + -27.664. Round c to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123\/(-369)*3*162\/(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 5 + 10*k + 4)*(26*k + 26*k + 11*k).\nAnswer: 630*k**2 - 63*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 29*s**3 + 2*s - 2. Is n(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1729\/60 + 86\/3. Let n(r) = 9*r + 134 - r**3 + 14*r**2 - 7*r**2 - 143. Let s be n(8). Is s < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8791*d + 4553*d - 4675*d in the form o + h*d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.696177*3\nAnswer: -2.088531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-12 - -12) + 39 + (-10 + 14 - 12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 3712.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 = -6. Let m = j + 10. Solve -m*d - 2*g - 31 = g, -d = g + 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4523*y - 567*y - 138460 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3239 is divided by 3227?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 163*v - 135. Let a(s) = -80*s + 67. Let n(y) = 5*a(y) + 3*d(y). Differentiate n(m) with respect to m.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -f - 4*o + 41, 3*f - 2*o - 81 = 0. What is the remainder when (-13)\/(-26)*(-228)\/(-2) is divided by f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2939*x**2 + x**3 - 2939*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 734.7824 milligrams to grams.\nAnswer: 0.7347824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101020 + -121?\nAnswer: -101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-2)*15\/(-12). Let m(d) be the second derivative of d**6\/720 + d**5\/60 + 2*d**4\/3 - d. Let r(q) be the third derivative of m(q). What is r(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, w: 2, q: 1, m: 2}. What is prob of sequence wwjq?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4 + y**3 - 4*y - 2*y + 2 + y**2 - 6*y**2. Let l be w(6). Which is bigger: l or -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 23886*a - 98. Calculate f(0).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9784.424 millilitres to litres.\nAnswer: 9.784424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2125.4 less than 2815975979?\nAnswer: 2815973853.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = 4*t - 2*h, -t + 3*h + 36 - 118 = 0. Let j = -238 + 335. Let b = j + t. What is the greatest common factor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.11 (b) 5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/(245\/11718) + 18 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5710 and 9136?\nAnswer: 45680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1890119 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2 - 26*q - 9. Let y be f(-6). Suppose 13 = 2*r - 3*d, 12 = y*r - d + 4*d. Suppose -2*m + 5*m = -15. Put r, m, 3 in increasing order.\nAnswer: m, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26529, -4, -3 in decreasing order.\nAnswer: 26529, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c + 33 = 0. Let z = 8626 - 8607. Calculate the remainder when z is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**2\/8 + 87567*q\/4 + 2555993163\/8 = 0?\nAnswer: -29189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*j + 11 + 4, 2*j = x + 5. Suppose 5*m - j = 2*p, p - 1 = -2*m + 1. Which is the nearest to 0? (a) -4\/7 (b) m (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17941431 and 36?\nAnswer: 215297172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -55. What is the tens digit of (-3 + -1)*222\/s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 k when four letters picked without replacement from {x: 3, p: 5, k: 9, f: 3}.\nAnswer: 36\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 387? (a) -61 (b) 5 (c) 0.3 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 2 + 0)\/((-9)\/(-19323)). Let f = c - 1012. List the prime factors of f.\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v + 29 = 1114 - 188 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2510, 2469, 2400, 2303?\n\"Answer: -14*v**2 + v + 2523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 3. Let y(o) = -o - 1. Suppose -5*g - 5*f + 17 = -2*f, 5*f - 15 = 5*g. Let w(s) = g*y(s) - k(s). Find the first derivative of w(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n = 7. Suppose n = 2*w - 9. Let o be 1\/(2\/128*2). What is the greatest common factor of o and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 6:24 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -202, -483, -888?\nAnswer: -1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*k - 6*k - 190. Factor 54*d + k*d**3 + 20 - 15*d**2 + 5*d**4 - 34*d - 40*d.\nAnswer: 5*(d - 1)**2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 36*d - 375. Calculate w(11).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 7*t**4\/12 + 63*t**3\/2 - 58*t**2. Is w(23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((523498\/(-680))\/(-89) + 26\/(-8))\/(1\/(-10)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -85)*(-8 + 6). Let p(d) = -5*d**2 + 45*d - 5. Let x be p(9). Let q = x - h. What are the prime factors of q?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + 6)\/((-1)\/(45\/10)). Let q(o) = o**3 - 10*o**2 + 3*o + 62. Let b be q(v). Calculate the greatest common factor of 216 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 17. Suppose -m = -4*m + d. What is the third derivative of -4*a**m + 4*a**5 - 3*a**5 + 3*a**2 wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24520 + 1621?\nAnswer: 26241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1693, 1710, 1727?\nAnswer: 1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.203011 decades in millennia?\nAnswer: 0.03203011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 - 9. Let l be ((-128)\/b)\/((-2)\/(-7)). Solve -2*v + 5*x + 20 = 0, -5*v + 2*x - 8 = l*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 3:44 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95295729 is divided by 3837.\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5820 and 664935?\nAnswer: 2659740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**3 - 9*x**2 - 18*x + 6. Let g be p(-8). Suppose 7*z - g = 5*z. Suppose -z = -3*t - 2*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1074 - -1073.9429. Round u to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619206 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/14 + (-130)\/(-14). Suppose -1 - b = -5*z. Let c be 3*-2*z\/6. Put -1, c, 1 in descending order.\nAnswer: 1, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*d + 83*d + 3060 - 3032 wrt d?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3\/5 + 129*y**2 - 3762*y\/5 = 0. Calculate y.\nAnswer: 0, 6, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 3*t + 5. Suppose -12 = -g - t. What is the remainder when g is divided by (2 - -1 - -5)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8\/3 (b) 40\/9 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 745 - 6 - 114)*(-2 + 3 - 4)*(26 + 10*p**2 - 26) as u*p**2 + k*p + m*p**3 + g and give u.\nAnswer: 25950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324141395?\nAnswer: 3, 5, 23, 149, 25759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 692145, 1384388, 2076631, 2768874, 3461117, 4153360?\nAnswer: 4845603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -1\/13 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11*d - 223. Calculate the remainder when 471 is divided by f(22).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5100)*1*-5 + sqrt(5100) + -4*(sqrt(5100) - sqrt(5100)*1))\/(1*(-2*sqrt(1452) - sqrt(1452)) - sqrt(1452)) + 1.\nAnswer: 1 + 5*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123221183?\nAnswer: 123221183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6933 = -2*c, -8*c - 4*u = -15*c + 24330. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Let n(q) = 26*q - 4. Let l be n(j). Let c(a) = l*a + a**2 - 126*a. Let d(h) = 10*h**2. Give c(d(p)).\nAnswer: 100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -687651 by 8.\nAnswer: -687651\/8","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -4754 + 13705. What are the prime factors of o?\nAnswer: 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 31*b**2 - 73*b - 9. Let f be r(-8). Is 2557 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17585 - 17560. Solve 4*x - b = 3*g - 12, 16 = 4*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1*o)**(-3\/19)\/((o**(5\/6)\/o)\/o**(-2\/3)))\/((o\/(o\/(o**3\/o))*o**(2\/7)\/o)\/((o\/(o**(-6)\/o))\/o*((o*o*o**(-3))\/o)\/o)) assuming o is positive.\nAnswer: o**(505\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 915, 1823, 2731, 3639, 4547, 5455?\n\"Answer: 908*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, s: 7, i: 4}. Give prob of picking 1 i and 3 u.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 6*b + 2. Let x = 6 - 0. Let j = 17 - 10. Let k(p) = -p**2 + 7*p - 2. Calculate j*o(h) + x*k(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263196, 263200, 263206, 263214, 263224, 263236, 263250?\nAnswer: 263266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/28723262?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 387141?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-6))\/(4\/498) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 2454012322?\nAnswer: -2454012313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56123724 a multiple of 2364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5341 (base 8) to base 6\nAnswer: -20521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 14157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-153)\/(-21) + (-2)\/7. Let g(p) = p**2 - 3*p + 7. Let l be g(f). Let y = 258 + -208. Solve 0*d + 4*h - l = -3*d, -5*h = 5*d - y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 13*g + 20 = 0. Let v(m) = 2*m**2 - 3*m - 3. Let x(d) = 3*d**2 - 3*d - 4. Give g*v(t) + 4*x(t).\nAnswer: 2*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358131467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30131 and 553787.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z - 21. Let f be y(-6). Suppose -3*g - f*i + 14 = -28, g = 4*i + 14. Let u = -3 - -11. What is the lowest common multiple of g and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/13)*j)\/((j*j**(-1\/21)*j*j)\/j))\/((j**23\/j)\/(j\/(j\/(j*(j**8\/j)\/j)))) assuming j is positive.\nAnswer: j**(-4124\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003418 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4373 is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 24*j + 27. Calculate b(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-76)\/(-24))*-2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007309872994 to 7 dps.\nAnswer: 0.000731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5783.067 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24 * -4070.\nAnswer: 976.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2 and ((-70)\/501)\/(-5 - -7).\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - v - 1 = 7*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -2)\/(-3 + 7). Let k = -4 - -4.01. Which is the smallest value? (a) k (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 10:48 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -295492 divided by 6?\nAnswer: -147746\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 - 4*b**3 - 4*b**3 + 5*b**3 + 2*b**2 to z*b + c*b**3 + r + a*b**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 43 (b) -0.054 (c) -2\/7 (d) -0.2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**(-11)*b)*b**(-4\/7)\/b)**28 assuming b is positive.\nAnswer: b**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -110101100101111 (base 2) to base 7\nAnswer: -142666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 913188.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -34\/3 (b) 1\/2 (c) 91 (d) 4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*w**3 - 9*w**4 + 24*w**3 + 3*w**4 - 3*w**4 - 2*w**4 + (0*w - 3*w - w)*(-w**3 + 0*w + 0*w) + 6*w**4 - 2*w**4 - 2*w**4.\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 90674*v\/7 + 1632780\/7.\nAnswer: -2*(v - 45355)*(v + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.188 * -115727.\nAnswer: 21756.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -203 - -876. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106254193 and 3497.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 5*u + 2*u)*(0 - 1 + 0) + (1 + 4*u - 1)*(-10 - 23 - 15).\nAnswer: -194*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -3\/2, -0.5, -4.03?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/6104 and 39\/9592?\nAnswer: 67144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let x be (18\/45)\/(512\/(-880) + (-4)\/(-22)). Let t(f) = 4*f**2 + 2*f + 3. Give x*n(h) + t(h).\nAnswer: 4*h**2 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120475, 240937, 361399, 481861?\nAnswer: 602323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(-57) - 1*26\/(-60).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 + 1022*b**2 - 1305605*b.\nAnswer: -b*(b - 2555)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -32 - 5 - -4 - (-1 + 2). Let x be (-31 - v)*((-1)\/(-3) - -1). Suppose -24 + 12 = -x*b. Calculate the remainder when 17 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let z = 1573\/4 - 394. What is the nearest to -1 in f, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -7*l**6\/15 - 5*l**2 - 7*l. What is the derivative of o(x) wrt x?\nAnswer: -56*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3212 is divided by 1753.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + ((-1)\/(-3))\/(3\/(-9)). Let v be 3\/u*3*40\/(-12). Solve 2*r - n + 6 = 5*r, 0 = -v*r + 5*n - 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1316970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 7, 44, 6 in descending order.\nAnswer: 44, 7, 6, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*v + 13 = 441*v + f, 9 = -2*v + 3*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 374 = 247. What are the prime factors of f?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -190062881 - -190063000.999937. Let r = p - 120. What is r rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 396 = -20*g - 28 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - v**2 + 3)*((3 + 1 + 0)*(13*v - 4*v + v) + 3*v + v - 2*v).\nAnswer: -42*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50706\/15323 or 3?\nAnswer: 50706\/15323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let c be (16\/28)\/((-2)\/(-7)). Let i(u) = -5*u**c - 4*u**2 + u**2. Give i(h(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3911538 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/5, 0.2, 6, -1\/7, 20 in descending order.\nAnswer: 20, 6, 2\/5, 0.2, -1\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17*y**3 - 9*y**2 - 3*y. Let t(f) = 8*f**3 - 4*f**2 - f. Determine -4*c(d) + 9*t(d).\nAnswer: 4*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(931) + 3*sqrt(931) + 1 - (2 + sqrt(931) + 2)))**2 + 5.\nAnswer: -1134*sqrt(19) + 75497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 274996*c + 24. Let p be m(6). Round p to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -18, 1\/3, 121, -0.5, 2.\nAnswer: -24, -18, -0.5, 1\/3, 2, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.05 + -0.05. Let w(x) = -x**3 + 2*x**2 + x - 2. Let r be w(2). What is the second smallest value in v, r, -2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257 divided by -4?\nAnswer: 257\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 32184?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 3*y**2 + 2*y + 4. Let x be q(4). Let v = x - -4. What is the second smallest value in 2\/9, v, -2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -207, -327, -457?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3322 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*y + 84 + 60. Suppose -2*i + y*i = 720. What is the highest common factor of i and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 228, -627, -2958, -7503, -15000, -26187, -41802?\n\"Answer: -123*t**3 + 6*t + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -33 times -23.7\nAnswer: 782.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1838*k - 21. Let r(a) = 1836*a - 31. Determine -3*m(o) + 2*r(o).\nAnswer: -1842*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 87?\nAnswer: -4\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1752\/(-36))\/((-4)\/6). Let f = b + -70. Factor 13*l**3 - 2*l**2 - 125*l - 48*l**2 - 18*l**f.\nAnswer: -5*l*(l + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.7 + 2.682. Let i = b + 0.248. Let g = i + -0.13. What is the third smallest value in -1, -0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20 - -2)*1 + 2. Suppose 2*f + 3*n = -45, 0 = 6*f - 3*f - 3*n + 105. Let r = o - f. 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: (39\/(-18) + 4\/3)*(-540)\/600\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5077*d**4 - 166*d**3 - 2*d**2 - 1957807*d - 3 wrt d.\nAnswer: 60924*d**2 - 996*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**4 - 164*q**3 + 166*q**3 - 2*q**2 - 3 + 6*q + 2 to the form k + n*q + x*q**4 + p*q**3 + v*q**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9 + 9 - n**2. Let u(q) = -4*q**2 - 23*q - 60. Let a(l) = -3*l**2 - 24*l - 40. Let s(m) = -3*a(m) + 2*u(m). Calculate g(s(d)).\nAnswer: -d**4 - 52*d**3 - 676*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 16. Let b(t) = 2*t**3 - 5*t + 0*t**3 + 3*t**2 + h - 3*t**3 + 2*t**2. Suppose -12*x - 16 = -16*x. Determine b(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 12*g - 17. Let k be q(13). Calculate the remainder when (568\/32)\/((-1)\/k) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.27, -0.2, 4, -5, -0.08?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*q - 1011 = 393 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 3*c**2 + 0*c**2 - 2*c**2 + 0*c**2 + 0*c**2 - 2*c**2 - c**2 + 5*c**2 + (2 - 2 + 2)*(2*c**2 - 5*c**2 + 5*c**2))*(-c**2 - 2 + 2).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-716)\/72*27\/180 and 9\/22.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5904 + 0.0904. Let j = -97 - -97. What is the third smallest value in -0.32, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 - 86. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(252) - (sqrt(7) + sqrt(7) + -2)*3) + 2)**2.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 - 86. Suppose 0 = -j*f + 8*f + 1830. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)\/sqrt(392) + -3)*-6 + (-2*((sqrt(152) - (sqrt(152)*-1 - sqrt(152))) + sqrt(152) + sqrt(152) + sqrt(152)))\/(-5*sqrt(24)\/sqrt(3)))**2.\nAnswer: 1944*sqrt(19)\/35 + 452304\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237 divided by 153.\nAnswer: -79\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 2\/5, 5, 49?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*f - 60 = 44*f. Suppose 3*j + f = -3*g, -2*j - 5 = -4*g + 3. Let t(m) = -m**3 - m**2 + 407. Is t(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624962*k**3 + 29012100*k**2 + 12164856*k + 1281008 = 0. Calculate k.\nAnswer: -46, -118\/559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 + 7*o**2 - 8 - 2*o**2 - 2*o**3 to the form d*o + b + n*o**3 + g*o**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 3 + -19 + 21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/13, -2\/481, -3\/5, 0.06, 0.6, -0.4, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 128, 189, 304, 491, 768, 1153?\nAnswer: 1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*m)*(3 + 6*m**4 - 3) + (6*m - 3*m**3 - 6*m)*(m**2 - 3*m**2 - m**2).\nAnswer: 21*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((4\/3)\/2)\/((-28)\/(-12)). Let j(y) be the first derivative of -4\/7*y**5 - 9\/7*y**4 + z*y**2 + 7 + 0*y - 4\/7*y**3. Solve j(b) = 0 for b.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/150*3*-5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46678, 186791, 420332, 747295, 1167674, 1681463, 2288656, 2989247?\n\"Answer: -p**3 + 46720*p**2 - 40*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 - 7 - 6 + 0*n**2 - n**2 + 3*n**3 + 18*n**3. Let s(t) = -10*t**3 - t**2 + 6. Give 13*s(z) + 6*v(z).\nAnswer: -4*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + -4. Let l = -143 - -253. Does 37 divide l - (-7)\/(w\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/10720 and 113\/4020?\nAnswer: 32160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-8) + 86\/(-4) - 1. Let s = f + 18. Let r(z) = z**2 + 5*z + 5. Let c be r(s). What is c rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w + w**2 + 6*w**2 + 6*w**2 to the form m*w + a + k*w**2 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-47))**(-34))**(-1\/15) assuming y is positive.\nAnswer: y**(1666\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*g + 76 - 2, g = 3*s - 86. Suppose -2*l + 2*a = -3*l + 13, 5*l + 3*a = s. Suppose -4*v = -20, 0 = -2*w - l*w + 2*v + 5. Solve -8 = j - w*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -121 - 556?\nAnswer: -677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/((-6370)\/(-147))*-20?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.664222525 rounded to 3 dps?\nAnswer: 0.664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5323 divided by -1438.\nAnswer: 5323\/1438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, 148, 461, 942, 1597, 2432, 3453, 4666?\n\"Answer: l**3 + 75*l**2 - 81*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + p**2 + 6*p**4 + 3*p**3 + 3 - 3*p - 2*p**3 in the form q*p**2 + n*p**4 + b*p + x*p**3 + m and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 7\/2650617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 32609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/6*72\/(-336). What is the biggest value in d, 429, 4\/3?\nAnswer: 429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 9266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12199 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:19 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 6 = -h, -6 = 3*h - 2*u - 3*u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = 3*a - 4*u, 211*a - 27*a - 4588 = -u - 5*u for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.229 - 0.129. Let k = 4.367 - -0.033. Let d = s - k. Which is the nearest to d? (a) -3\/2 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4943015 and 21569520?\nAnswer: 237264720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) 4 (b) 26 (c) 1\/65 (d) 4\/7 (e) 2 (f) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*t = -2*i - 30, 0 = -5*i + 2*t + 29. Calculate the remainder when i is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 + f**2 + 0*f**2 - 2*f**2)*(317*f**2 + 250*f**2 + 61*f**2).\nAnswer: 2512*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-27)*3*(-3)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 plus -2.111?\nAnswer: -2.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6*(-392)\/392)\/(-7).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*((n*n**1)\/n*n)\/n)\/n))**(-6\/5))**(-2\/101)*((n*n**(-2\/3)*n)**14)**(-45) assuming n is positive.\nAnswer: n**(-840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -371, -722, -1071, -1418?\n\"Answer: v**2 - 354*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 7*s**2 - 3*s**4 - 9*s**2 + 0*s + 14*s**2 to the form q*s**2 + n*s**4 + r + l*s + w*s**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17135412 by 28.\nAnswer: -611979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 13*r = -36. Suppose -4*q - 6 = -3*o, -4*o + 8 = r*q - 5*q. What is the nearest to q in -1, 3\/4, -2\/13, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 + -21. Let b(w) = w**3 + 3*w**2 - 6*w + 2. Let i be b(-6). Let q be (-3 + h)\/(4\/i). Round q to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139746, 279447, 419148, 558849, 698550?\nAnswer: 838251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from 0.12939.\nAnswer: -5.87061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2*h - 4*h)*(-h + h - 2*h**4) + 0*h + 0*h + 4*h**5.\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.6 + 3.6. Put -1\/2, 0.3, j in descending order.\nAnswer: j, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-29)\/7 - (-2)\/(-14). Suppose -10 = -q*n, 3*o + 2*n - 12 - 1 = 0. Solve -6 + 0 = -o*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5909072*j**3 - 2400*j**2 + j - 976?\nAnswer: -35454432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/9 - 2\/3. Let i(a) = 3*a - 23. Let o be i(5). Let c be -1*(-2)\/o + 544\/128. Solve -d*q - 12 = -c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 + 73. Suppose -2*h + 4*k = -26, q*k - 79 = -7*h + 4*h. Solve -d + 24 = h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07487*0.0506\nAnswer: 0.003788422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-4\/9)*p\/p**(2\/15))\/(p\/(p*p**(-4\/7))*p*((p**(-1\/2)*p)\/p)\/p) assuming p is positive.\nAnswer: p**(1411\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -91, -87, -81, -73, -63, -51?\n\"Answer: c**2 + c - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/16)\/(4\/(-16)). Let m be ((-33)\/12)\/(j\/8). Let u = m - -41. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 3. Let a = 1724 + -1170. Let v(h) = 276 - a + 276 - h**2. Determine -2*j(l) + 3*v(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -0.5. Let l = 0.5 - 0.4. Let f = 6 + -3. Which is the biggest value? (a) f (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*w = -18 - 32, r - 5*w - 10 = 0. Suppose 0 = 5*y - 215 + 30. Calculate the remainder when y is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**3 + s**2 - 2*s - 3. Let f be j(-3). Calculate the common denominator of (-280)\/f + (-4)\/2 and -41\/62.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = m - 11, -5*m + 12*a - 21 = -9*a + 17*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 754945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-24))\/(5 + -6))\/((-6)\/198)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-31)\/(-3))\/((8 - 15) + 9) + -5. What is the third smallest value in x, -0.4, 0.009, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -129.74 = 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) 1 (c) 1\/2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 51, 76, 37, -114?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.67? (a) 1\/1716 (b) 20\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20184*x - 712 = 20095*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(24)*-2)\/sqrt(12).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/(-26) - (-10 - -8). Let o = -0.031 + -19.969. Let h = -24 - o. What is the third smallest value in h, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 9*a**2 + 7*a - 3. Let g be t(-8). What is the tens digit of (27*7)\/(6 + 0 - g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 <= 443332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3924183.\nAnswer: 3, 37, 35353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024211910?\nAnswer: 2, 3, 5, 19, 1796863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 879, 1837, 2807, 3717, 4495, 5069, 5367, 5317?\n\"Answer: -12*t**3 + 78*t**2 + 808*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896 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: Calculate prob of sequence tx when two letters picked without replacement from {i: 1, t: 4, h: 2, x: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/135)\/((-1)\/(-5))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -674109 divided by -404?\nAnswer: 674109\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -33. Let v be (-12)\/(-20) + g\/(-5). Which is the biggest value? (a) -3 (b) -0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 971058204 to the nearest one million.\nAnswer: 971000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3 + 6*a**3 + 4 - 2 - 3 - a. Let d(j) = 7*j**3 - 2*j - 5. Determine 4*d(s) - 5*y(s).\nAnswer: -2*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54910294?\nAnswer: 2, 37, 742031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 242 + -222. Calculate the remainder when 67 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(432) + 2 + 4 + (1 + sqrt(432) + sqrt(432))*-3 + (-1 + sqrt(432))*4)**2.\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 5. Suppose 4*a + 7 = -2*l - 23, 0 = -5*a - 2*l - 36. Let v be j(a). Suppose -2*w - v = -2*h + 3*h, w = -2*h - 2. Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1614490.\nAnswer: 2, 5, 17, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(3*4\/(-1500))*1440. What is s rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 6:41 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1 - -2. Let w = 2 - 0. Let p = 3 + w. What is the nearest to a in p, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -189*k**3\/2 + 444*k**2 - 617*k. What is the derivative of q(d) wrt d?\nAnswer: -567","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 615403 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7919 - 3571 - 4348 - 1161*j.\nAnswer: -1161*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f - 0. Suppose 9 = -3*d - 5*n, d + f*n = -3*n - 3. Is 37 + (d\/(-3) - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 14*g**2 + 38*g - 15. Let h(n) = -6*n**2 - 12*n + 10. Let y be h(1). What is the remainder when l(y) is divided by 332\/14 - 4\/(-14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34000 (base 16) in base 14?\nAnswer: 5789a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38012 and -68.\nAnswer: 2584816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 521 and 16904010.\nAnswer: 16904531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2827 - 2700. What is the remainder when q is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 151*p + 6.\nAnswer: -151*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (148\/2220)\/(1 - 15\/6).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -160. Let t = -90 - p. Suppose 13*u - t*u - 312 = 0. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1255790 to the nearest 10000.\nAnswer: -1260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -100011000111101010010 (base 2) to base 6\nAnswer: -40355442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61006*n**2 + 5729*n**2 + 96632 - 96634.\nAnswer: 66735*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -24, 123 in descending order.\nAnswer: 123, -2, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 600750 and 3000?\nAnswer: 2403000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4533401, 4533400, 4533399?\n\"Answer: -x + 4533402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21\/(-126))\/((-2)\/(-8)))\/((-5)\/(-75)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, i: 2}. Give prob of sequence ggi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011852555 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 84\/(-18)*(-2)\/(-7). Suppose 0*l = 3*l - 306. Let d be -2*(l\/33 + -3). What is the closest to 0.1 in 3, d, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 83 = -11 - 32. What is the highest common divisor of 135 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 7*w + 5*w - 2*w + 2*w + w - 2*w + w + 0*w + (4 - 3 - 2)*(3 - w - 3) - 2*w + 5*w - 2*w - w + w - w - w + 5*w - 3*w)*(-3 - 1 + w + 5).\nAnswer: -3*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 times -0.4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5423 and 1479.\nAnswer: 16269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -547050 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 101. Let q be f(0). Let x be q\/5 - (-4)\/(-20). Suppose 3*p - 4*p = -g, 0 = 4*g - x. Solve 0 = p*a + 2*j + 5, -j + 0 + 2 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25362865?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 109*w + 57. Let k be i(54). Let l = -7 - -9. Let j be -1 + 1*(1 + l). Solve 5*o + 2*b + 5 = 4*b, 0 = -2*o - k*b - j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -876*s**2 - 1130*s**2 - 3*s**3 + 0*s**3 + 30*s**2.\nAnswer: -3*s**3 - 1976*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -50. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2580623?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-282)\/54) + -5. Let s = -3 - -4. Suppose -2*k = 4*f - 16, 3*k + 3*f - 11 = k. Which is the smallest value? (a) s (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2295)\/(-306)*8\/10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27944 - 27914. Let b = 15 - 11. Calculate the remainder when n is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22012 (base 3) to base 11.\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 4*a + 2. Let j = -15 - -16. Let l(q) = -q**2 + q. Let p(c) = j*w(c) + 3*l(c). Factor p(o).\nAnswer: -(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x**2 + 9*x + 17. Give j(-3).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 10302*m - 10300.\nAnswer: -2*(m - 5150)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 701\/10 or 69?\nAnswer: 701\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 692*q**4 + 77?\nAnswer: 2768*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*t**5 - t + 89.\nAnswer: 840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r - 3. Let n(f) be the third derivative of -f**5\/15 - 873*f**2. Determine n(w(z)).\nAnswer: -64*z**2 - 96*z - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19395 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 3\/5 (c) -0.18 (d) 1\/5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 130, 0 in decreasing order.\nAnswer: 130, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 0*a + 2*a + (-2 - 2 + 3)*(a + 3*a - 2*a) - 8*a + 3 - 3)*(0 + 4 - 5)*(-7*a**3 + 2*a**2 - 2*a**2).\nAnswer: -84*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137054 + -60756. What is w rounded to the nearest one thousand?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 42630128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.47834 to one decimal place.\nAnswer: -58.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 + 2*a. Let l(t) = t - 20. Let u(n) = -21*n**2 - 42*n + 840. Let x(o) = -42*l(o) - u(o). Determine i(x(m)).\nAnswer: -1323*m**4 + 42*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 22 = 4*y - 3*f, 4 = -y - 2*f. Suppose -o = -y*o + 41. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 12. Which is bigger: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 887 - 831. What is the lowest common multiple of c and 18?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eweewewmewewwww. Give prob of picking 3 e and 1 m.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 3343*x - 811258. What is i(-215)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v + 6. Suppose -5*w - 20 = -10*w. Let j = -56 + 61. Let u(f) = 6*f - 5. Let o(c) = j*r(c) + w*u(c). Differentiate o(b) wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60a0b2 (base 12) to base 15\nAnswer: 1ec7db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 - 2 + 2 + (-1 + 3 - 3)*(-3*l**5 - l**5 + 2*l**5) - 9*l**5 - 100*l**2 + 100*l**2.\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/12 + z**3 + 3*z**2\/2 - 7*z. Let w be n(-7). Solve -4*f - w = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.5*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + i + 5*i)*(2 + 2 - 3 + (1 - 2 + 2)*(-2 + 5 - 1) + 5 - 3 - 1 - 2399 + 4013 - 2259).\nAnswer: -1282*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 6 - 2) + 16 + -20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 19}. Give prob of picking 2 f.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15455355 (base 6) in base 11?\nAnswer: -34781a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - r - 21 + 3, 3*r = 4*m - 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 65 + -1814010146924\nAnswer: -1814010146859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (95*m - 1 - 281*m + m**2 - 193*m - 2*m**3)*(-m + 0 + 3*m + 1) as a*m**3 + f + x*m**4 + d*m**2 + p*m and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y - 4 = 0. Let b be y\/8 - (-147)\/28. Suppose 4*a - 3*a = -q + 52, 5*a - b*q - 310 = 0. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 + 264. Suppose -u + 0 = -w. Suppose 0 = -7*f + 861 + w. What are the prime factors of f?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16025 or 33912?\nAnswer: -16025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/70*(-5)\/(-6)*(-7)\/((-21)\/214)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5771.7 - 5772. Which is the second biggest value? (a) -5\/4 (b) -61 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 4:52 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/17)*m)\/(m\/((((m\/(m**6*m))\/m)\/m*m*m)\/m))*m\/m**(7\/4)*m*m**(1\/4)\/m)**7 assuming m is positive.\nAnswer: m**(-1813\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 18057300 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23107876*d**3 + 26705517*d.\nAnswer: -138647256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.36 + 0.26. Let x = 1.9 + 0.1. Which is the closest to x? (a) 5 (b) u (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9041 times 0.32?\nAnswer: 2893.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 3:16 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6609\/174 + (-1569)\/(-91002)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a - 2*a - 3*a)*(-3 - 7 + 6*a**3 + 12) as d*a**3 + v*a**2 + w*a + c*a**4 + y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 67. Suppose -f - 9 = j - 3*j, 4*f = -3*j + 8. Solve -3*a - 10 = -0*t + t, -3*t = -j*a - p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*a**2 - 36*a**2 - 38*a**2 - 33*a**2 + 16 in the form z + v*a + x*a**2 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 5*s + 168*z - 165*z, -2*z + 40 = 5*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -2, 5 in increasing order.\nAnswer: -47, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -3879.142.\nAnswer: -3879.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*p = -4*y - 8, -2*y - 6 = 4*p. Let m be y\/(-20) + (-21)\/4. Let b(x) = -x**2 - 5*x + 5. Let v be b(m). Solve -v*g - 10 = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 10:39 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 11*z + 7*z = 40, 3*r + 3*z = 54 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -11. Let s(t) = 2 + 7 - 2 + h + t. Calculate s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1410581 millennia to decades.\nAnswer: 14.10581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*h**3*m**4 - h**3 - 10*h**2*m**2 - 1557*h*m**2 + 3*h*m + 2340*m**4 wrt m.\nAnswer: 1032*h**3*m + 56160*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*i**2 + 2307*i - 2307*i)*(i - 2*i + 0*i).\nAnswer: 130*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88140 and 1248.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, 58, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*t + 1801 - 573 + 2622 + 168 = 0 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 684684 and 35310132?\nAnswer: 247170924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2320311233 - -2?\nAnswer: 2320311301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -13. Let u be 277\/(-9) - (-2)\/(-9). Let a = 31 - u. What is the remainder when a is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4398.4429 + -86311?\nAnswer: -81912.5571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 15*c - 25*c - 10*c**2 + c**3 + c**2 - 2076 + 2056. Determine i(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-4))\/(11880\/(-45936)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1013115821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 6:03 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8 + -7)\/((-22)\/(-3)))\/(-100*108\/(-1980))?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82843, 165678, 248513?\nAnswer: 331348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 3. Let k be i(-5). Let d(r) = 20*r**2 + r - 7. Let g be d(k). Let f = g + -72. Solve -f*x - 2 + 11 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0677 + -1.1123. Sort -4, -3, p in increasing order.\nAnswer: -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 10. Let d(b) = b**3 + 3*b**2 - 4*b - 3. Let w be d(-2). Give o(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10599 and -0.8.\nAnswer: 8479.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 885*c**2 + 3798*c**2 + 4244*c**2 in the form s + b*c + t*c**2 and give t.\nAnswer: 8927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 30 (b) 1\/4 (c) -3 (d) -5 (e) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1356*c*m**4 + c*m**3 - 14*c*m**2 - c*m + 2*c + 26*m**4 - 1031*m**2 wrt m?\nAnswer: -32544*c*m + 6*c + 624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(44)*-2)\/sqrt(2))\/sqrt(2))**2.\nAnswer: -12*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11157 is divided by 2079?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178 + -183. Let w = -3 + 5. Let z = 2 + -6. Put h, z, w in increasing order.\nAnswer: h, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*v**2 + 11*v**3 + 5*v**3 + 98*v**2 - 22*v**3 to the form o*v + n + s*v**2 + w*v**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 14. Let c be l(6). Suppose -c*i - 2 = -10. Let y(j) = -j**2 - 14*j + 97. Let v be y(-19). Solve -2*u - 8 = -i*g + 4, g = v*u + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32989 is divided by 32977.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 + 2591*q**2\/2 - 830676*q - 11018826.\nAnswer: -(q - 1302)**2*(q + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4037.\nAnswer: 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 51*i + 498. Determine h(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4999913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-6)*(-3 + 198\/132).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 410 = -2*q, -2*q - 3*o = -o - 426. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = h - 3430005, 5385387 = 3*p + h - 4904618. Round p to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5189661 is divided by 2322?\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58\/7 - 8. Which is the second biggest value? (a) 1 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**2 - 257082*i - 3341559 = 0.\nAnswer: -85681, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**14\/c*c)\/c**10 assuming c is positive.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**2 - 3*d**2 + 2*d**2)*(0 - d + 0) - 5*d + 5*d - d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9177*m**2 - 137801*m - 2195. Give u(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.3 (b) -2\/9 (c) -2924\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -352 by 16.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2580*y - 2576*y - 5*a + 27, -3*y = 8*a + 32 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3158566694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f + 26*o + 4 = 35*f - 16, -4*f + 40 = -5*o for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 + 6*m**2\/11 - 144*m\/11 + 32.\nAnswer: 2*(m - 4)**2*(m + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 226*f**2 - 1942*f - 1116. Determine s(-217).\nAnswer: -3503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*s - 62 - 101 = 0, 317 = 4*z + 3*s. Let j = -66 - -86. Calculate the lowest common multiple of z and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**4\/k)\/k**(2\/23)*((k**(-2\/5)\/k)\/k)**(-1))**(-2\/23) assuming k is positive.\nAnswer: k**(-1682\/2645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/390 + 6*z**4 - 1876*z**3\/39 - 2*z**2 + 1171. Solve m(h) = 0 for h.\nAnswer: -938, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*c - 7060 - 2143, 4*c + 4604 = y. Is 50 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, -12, 4, 48, 132, 268, 468, 744?\n\"Answer: 2*y**3 - 4*y**2 - 2*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*l + 3*v, -767 = 4*l - 4*v - 3*v - 769 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5084*t - 282 + 5256 = -5194 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*h - 193 = 0, 3*n + n + 772 = -3*h. Let r = -106 - n. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 18056220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*l**3 + 125*l**3 + 117*l**3 + 54*l**2 + 112*l**2 + 122*l**3.\nAnswer: 2*l**3 + 166*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 23 = 5*r. Calculate the lowest common multiple of r and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-2))\/((-2)\/(-2)))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4593 - 0.0593. Which is the nearest to -2\/3? (a) 2 (b) 0 (c) 5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/16*(-8)\/6. Let c = 1656\/13787 + -2\/811. What is the closest to -3\/5 in -18, c, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/5*(-22)\/(-231).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 0.39, 3181 in increasing order.\nAnswer: 0.39, 5\/4, 3181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15031967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**4\/12 + u**3 - 5*u**2\/2 - 17*u. Calculate h(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 5)*(d - d**4 - d).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4182030 (b) 3\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*o + 30, 4*o + 33*r + 62 = 16*r for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 5:27 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235362549.\nAnswer: 3, 78454183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 378 = -2*u + 3*k, 0 = -4*k - 4. What is the remainder when u is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 12, j: 7}. Give prob of sequence oj.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 7 - 11 = 0. Suppose 5*y + 7 = 4*n, 4 + 0 = -i*y + 4*n. Which is the nearest to y? (a) -0.4 (b) -5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -11) + -2 - (42 - 54).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 28 = -3*j. Is 18 a factor of (-268)\/(-7) - 2\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + v - 301175, 3*s - 3*v - 451795 = 2*v. What is s rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10654725 at most -10654721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.92 + 12.62. What is the closest to o in -2, -0.1, 2, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -31 + 62 - 17*z - 31. Let n(l) = -l**2. Give k(n(p)).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 19 = -56. What is the highest common divisor of 45 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 43 = 4*s + 3*k, 3*k - 55 = 5*s. Let x be (-34)\/s + 51\/(-119). Which is bigger: 8\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(240) + 1*sqrt(240)) - sqrt(240))\/(-4*sqrt(160)))\/(-3*sqrt(32) + (3*sqrt(1152) - sqrt(8) - sqrt(8))) + 1)**2.\nAnswer: 11*sqrt(3)\/224 + 201067\/200704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.03339025?\nAnswer: -0.016695125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -66 - -74047?\nAnswer: 73761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*a + 152 = -124, -3*l + 4*a + 836 = 0. What is the units digit of 6\/(-9) + l\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 5*v**2 - 6*v + 6. Suppose 5*p - 6 - 94 = 0. Calculate the smallest common multiple of g(-6) and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24647?\nAnswer: 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 11:43 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 7*m**2 + 7*m + 6. Let d be r(-6). Suppose -4*z + 249 - 37 = d. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2048 divided by -4?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -706 + 1035. What is the highest common divisor of 94 and d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 2. Let i(j) = -782 + 782 - 3*j**2 - 3*j**b. Let u(d) = 4*d. Give i(u(k)).\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.31 and 130?\nAnswer: 430.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00964114 to five decimal places.\nAnswer: 0.00964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k - 2*k + 6*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12. Let z(a) = a + 13. Determine -5*u(n) + 4*z(n).\nAnswer: 4*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (-31 + -969)\/(-25)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76914 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 0 + 1\/24*a**4 - a**2 + 3\/2*a**3 + 0*a. Let t be l(-8). Sort -4, t, 3 in ascending order.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.15 - -1.85. Let u = f + -2.018. What is u rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46936*v = 46907*v - 1363 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6293.8 + 6293.80065914. What is h rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 10*n + 2. Suppose 6 = 2*i + 4*c - 2, -i = -5*c - 25. Let p be l(i). Suppose -p*d + 9 = -d. Solve 0 = -3*x + 3*f + d, -4*x + 3 - 1 = f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63430.\nAnswer: 2, 5, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 2:39 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, -2, -4, -72, 1 in descending order.\nAnswer: 1, -1, -2, -4, -11, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2385 + 22e?\nAnswer: 25b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538472083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 751*-0.5.\nAnswer: -375.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 - 83. Suppose -3*x = -x + r, 4*s + 4*x - 576 = 0. Does 37 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m + 4. Let a be b(-3). Suppose -s + 2 = 0, 5*g + 3*s = -2*s + 10. Suppose -a = -u - g. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and 2.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 + -118. What is the greatest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34070, 0, -14 in decreasing order.\nAnswer: 34070, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 4 - 4)*(0 + 0 + b) - 3*b**4 + 2*b - 2*b + 2 + 10 - 2 - 2*b**4.\nAnswer: -6*b**4 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*a*f**3 + 2*a*f - 6868091*a + 9942*f**3 wrt f.\nAnswer: 60*a*f**2 + 2*a + 29826*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16743 - 6470442*r + 6470442*r + 16743 - 8*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 662060?\nAnswer: 1\/94580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k + 918 + 142 - 10 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -15*2*(-5)\/25. Suppose g*k = -0*k - 456. Let w = -44 - k. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 23 + -16)\/(-5)*-205?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 878, 844, 788, 710, 610, 488?\n\"Answer: -11*m**2 - m + 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32123, -32133, -32163, -32225, -32331?\nAnswer: -32493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c - c**2 + 0*c + (-15 + 0 + 2)*(-3*c - 2*c**2 + 3*c) to y*c**2 + i*c + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459610921 to the power of 1\/4, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*s**4 - 4*s**2 - 22 - 4*s**3 + 86*s**4 - s + 3*s**2 - 243*s**4 + 78*s**4 in the form c*s**3 + i + u*s + k*s**2 + r*s**4 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 10. Let m be (-2 + 0)\/(-1 - 0). Suppose -4*t + 7 = -13, m*f - 32 = -4*t. What is the remainder when s is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r*r**(2\/7)\/r)\/r*r*r*r**(4\/5)*r)\/(r**(-1)*r*r)**33)**(-49) assuming r is positive.\nAnswer: r**(6839\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -9665.\nAnswer: -6765.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 6*h**3)*(-7 + 5 - 4).\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 96028388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12))**(-15) assuming z is positive.\nAnswer: z**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 7\/4*u**3 - u + 3*u**2.\nAnswer: u*(u + 2)*(7*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*f + 512 = -1769*f - 7978 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*g + 2*g - 80, -181 = -5*g - 3*i. What are the prime factors of (g\/10)\/(1\/226)?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 9*l - 1. Let z be v(-4). Suppose 5*a + 8 = z*r + 31, 4*a - 8 = 5*r. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - f + 3*f + 2*f**3 - 10 + 2183*f**4 - 4*f**2 - 2186*f**4 to c*f**2 + d*f**3 + v + u*f**4 + o*f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2724621 + 2724621 + 3*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-48)*8 - (-1)\/2. Suppose 31601 = 5*w + 5*i + 8041, 3*w + k*i = 14137. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22345*-6\nAnswer: -134070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71059 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**5\/10 - 1139*d**2. Let v(u) = -2*u**2 - 4. Calculate i(v(r)).\nAnswer: -24*r**4 - 96*r**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -404 + 407. Which is the nearest to 7? (a) 2 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -36. Suppose 0 = -a*y, 2*b - 2*y - 36 = -6*y. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -6 + (-2)\/(-1). Let g = v + 1. Suppose -5*m + 3*j + g = -10, 5*j = -3*m + 27. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 31*i**2 + 2*i - 1. Suppose 2*z + 1 = b - 12, -3*b + z = -64. Suppose 0 = -39*c + b*c + 16. Determine r(c).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7691914 divided by -89\nAnswer: -86426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -63336.\nAnswer: -126672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5*d + 5480, -2*a - 4*d - 885 = -3077. Calculate the least common multiple of a and 822.\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -105929*v**2. Let q(x) = -2*x**2. What is r(q(y))?\nAnswer: -423716*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4\/80)\/((32\/(-60))\/4)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 321*j + 7 = -322*j, -2 = -p - j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 + 28. Let n(s) = 1. Calculate -84*n(v) + 3*t(v).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 9*x**2 + 9*x - 1. Let s be q(-8). Let o = -9 - s. Solve o + 6 = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531*p + 355 = 460*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-5)*1*60\/(-40)*-3.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from mjujbmmskkmsmmk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9099642, 9099641, 9099640?\nAnswer: 9099639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**5\/20 - 3*t**4\/16 - t**3\/6 + 7. Factor o(v).\nAnswer: -v**2*(v + 1)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b (base 14) to base 2.\nAnswer: -100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -9*z + 147. Suppose 4*j - 44 = -2*c - 0*c, c + j = 21. Which is greater: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1757 = 32*q - 1661 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -134934583 divided by -838103\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -3*(16\/(-56) - 79068\/63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/79 - -423\/553. Let n = 27\/28 - y. Factor -1\/4*b**4 + 1\/4*b**2 - n*b**3 + 1\/4*b + 0.\nAnswer: -b*(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158961*k**3 + 3*k - 38475 wrt k?\nAnswer: 953766*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2213*k**3 + 4*k**2 + 25*k wrt k.\nAnswer: -13278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 - 3*w**5 + 5*w**5 + 2106*w**5 + 1857*w**5 - 5698*w**5 - 2*w**5 + 0*w**3 + 0*w**3 + (2*w + w**3 - 2*w)*(0*w**2 - w**2 - w**2).\nAnswer: -1738*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 2*p + 5 - 4, 4*c - 8 = 4*p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44*((-2)\/56 - 2\/(-7)). What is the highest common divisor of x and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 5*q - 4*q)*(-16*q - 26*q - 4*q + (1 - 3 + 5)*(-q + 0 + 0) + (0 + 1 - 2)*(2*q - 3*q + 3*q)).\nAnswer: 153*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**3 + 2*f**2 + 2*f + 5. Let h = -6878 + 6876. Let a(s) = 16 + 27*s**2 - 66*s**3 + 4 + 46 + 27*s. Calculate h*a(l) + 27*x(l).\nAnswer: -3*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2) + -4 - 279\/(-45)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-416)\/140)\/26)\/(1480\/27195).\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k = -52774 + 52332 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111100100011 (base 2) in base 11?\nAnswer: 9080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 469 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 0) + 4 + 1. Suppose 2*w + 336 = 80. Let r = w - -1151\/9. Which is smaller: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 13 - (8 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, l: 5}. Give prob of picking 2 l and 1 y.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (705*r - 267*r - 271*r)*(r - 2*r + 3*r) - 2*r**2 + 0*r**2 + 4*r**2.\nAnswer: 336*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/23, 3\/20, -5, -2\/21?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92280964 to the nearest integer?\nAnswer: 9606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - u + 3*u)*(-532 + 268 + 161*u + 263).\nAnswer: 644*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2)*(s + 0 + 0) + 1734*s - 470*s + 3463*s as d + x*s and give x.\nAnswer: 4725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 2 = 16*b. What is the biggest value in b, 1\/3, 6, -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/42 + 108\/(-84)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*y + 85*y + 6 + 21*y + 47*y - 92*y to the form m + k*y and give k.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*m, 4*s + 37 = -2*m + 9. Let k = s - -9. Solve 0 = -k*t + 4 - 24 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*y - 5*a, y + 4*a - 16 + 3 = 0. Suppose -4*g - 45 = -y*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j - j)*(j + 5*j - 4*j) - 2036 + 122*j**2 + 2036.\nAnswer: 118*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(60)\/(sqrt(15)\/sqrt(3)) + -3*sqrt(36)\/sqrt(3)) + -4 + sqrt(12) + (sqrt(12) + -2*sqrt(12) - sqrt(12)) + sqrt(588)*5 + 2)**2.\nAnswer: -176*sqrt(3) + 5812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -29*c**8\/56 - 3*c**5\/20 - 73*c**4\/6 + c**3\/3 - 87*c. What is the third derivative of r(m) wrt m?\nAnswer: -3480*m**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o**2 + 4*o + 2. Let l be p(-1). Let c be (-2)\/8 + 1725\/20. What is the second derivative of 86 + 5*m + l*m**2 - c wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 + 32*d**2 + 215*d + 2484. Calculate u(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 1. Let h be -4*(-1 - (-1)\/(-2)). Let m(c) = -h*c + 6*c - c - 1. Determine -2*m(f) + 3*p(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281968 a multiple of 847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68577571*b*h - 44123*b + 271 with respect to h.\nAnswer: 68577571*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 237 (base 10) to base 2\nAnswer: 11101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13475, 53906, 121267, 215540, 336707, 484750?\n\"Answer: -3*w**3 + 13483*w**2 + 3*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120769788 to the power of 1\/2, to the nearest integer?\nAnswer: 10990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4541287*b*q - 27*b + 38128 wrt q?\nAnswer: 4541287*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/(98\/21))\/(9\/(-552)). Let m be 20\/25 - k\/(-35). Factor 8\/7*j**2 - m + 44\/7*j.\nAnswer: 4*(j + 6)*(2*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -11*x**3 + 6*x**2 + 146*x - 154. Give j(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239742*f + 1434951*f + 659757*f.\nAnswer: 1854966*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4378 - 4376. What is the fifth smallest value in -2\/3, 8, a, -0.5, 0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1389, 2800, 4217, 5640?\nAnswer: 7069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**2 + 2*y**2 + 76*y**2 - y**2.\nAnswer: 102*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 84137969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -a + 5. What is the smallest common multiple of 1 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(2\/3))\/x)\/(x*x\/(x\/(x**(2\/21)*x)))*x\/x**(2\/35)*(((x*x*x*x*x*x\/x**(-4))\/x)\/x)\/x assuming x is positive.\nAnswer: x**(649\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 307*f - 312*f, 0 = c + 4*f + 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, b: 5}. What is prob of picking 3 o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-54)*1761 + 1\/6. Suppose -5*w + 45 = 5*n, 0 = -5*n - w - 3*w + 50. What is the greatest common factor of b and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28351 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 35. Let q be (0 - 40\/(-6)) + 4\/3. Let y be r(q). Suppose -y*s + 4*s + 112 = 0. What is the least common multiple of s and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 117.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1364, -6797, -21600, -50477, -98132?\nAnswer: -169269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 26 - 91215*t + 10 + 91190*t.\nAnswer: -25*t + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*u - 20 = 3*g, -g = -3*u + 44. Suppose 0 = -15*t + u*t + 61. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -333802.7477 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00272274 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 41*y - 186. Let m be r(-8). Suppose -6*d + 84 = -m. What is the highest common factor of d and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 + 45 + 243*g - 245*g - 45.\nAnswer: 4*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -751.5 - -753. What is the closest to 2 in -3, n, -2\/11, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by (-2)\/16 - 11051\/(-344)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 16, g: 2}. Give prob of picking 2 b.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 186.922nm?\nAnswer: 0.000000186922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 40*i**2 - 13*i - 191. Give d(-40).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34710 and 25398.\nAnswer: 146927430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2324051 (base 7) to base 16\nAnswer: 47459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 247192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y**2. Let q(j) be the third derivative of 27*j**4\/8 + 467*j**2. Give v(q(b)).\nAnswer: 72171*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 135628560 a multiple of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 5*l**3 + 8*l**3 + 0*l**2 - 20*l**3 in the form o*l**3 + y + i*l**2 + j*l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*44\/33\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1642797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 532749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 3.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:06 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1008 + -823. What is the highest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -760.8793 times -3\nAnswer: 2282.6379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96525, -193058, -289603, -386166, -482753, -579370, -676023?\nAnswer: -772718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 159*c - 31914 + 31914 in the form j + g*c and give g.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*d - 15 = 0, 2*p - 46*d + 48*d = -6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31874, 62644, 93416, 124190, 154966, 185744?\n\"Answer: t**2 + 30767*t + 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 8, 2, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-21)*(-77)\/(-22). Solve j*p = -0*x + 2*x, 2*p - 15 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18150*g - 330*g**2 + 3*g**4 + 657\/2*g**3 - 3\/2*g**5 + 0 = 0. What is g?\nAnswer: -10, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -807*h**3 - 8*h**2 - 4*h - 10. Let r(t) = t**3 - 2*t**2 - t - 3. What is -4*r(a) + z(a)?\nAnswer: -811*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*v - 1. Suppose 5 - v = 4*y. What is the common denominator of 5\/9 and 0 + (-41)\/(-2) - y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 2. Let h be g(1). Let a(k) = 10*k. Let p be a(h). Suppose 9 + p = c. Solve 2*o = -2*m - 8, -2*o + 6*o + c = -5*m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4 + 2 - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -1614?\nAnswer: -1611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*u**2 - 3*u**2 - 4*u**2)*(-1437 + 1437 + 73*u) to d*u**2 + k + g*u + w*u**3 and give w.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-66114)\/(-15) - (-6)\/(-15). Is (-2)\/(-1)*d\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -59\/4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.269? (a) 363 (b) -1 (c) 6.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1890087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 750243251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243998?\nAnswer: 2, 19, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 6:55 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84458.\nAnswer: 2, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1 - -4 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -8\/7 (c) -6 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-306008 + 184706 + 159614)*(-6*k + 3*k + 2*k).\nAnswer: -38312*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 2*m**2 + 4*m - 5. Let y be 32\/18 + (-260)\/(-1170). Calculate x(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 1. Let q be v(-6). Let a(p) = -4*p + p**2 - 5 + 3*p - q*p. What is the units digit of a(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12156860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27808531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 11*o**2\/2 - 3*o\/2.\nAnswer: o*(o + 3)*(4*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2033406 (base 7) to base 13.\nAnswer: -86c28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 577*v**2 - 102*v - 59. Let w be s(-81). Round w to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48 + 74 - -32) + (2 - 19).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**3 - 2*x**3 + 8*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/30 - 336*f**2. Let s(o) = -56*o. Calculate s(g(b)).\nAnswer: 112*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-4)*(-24)\/20?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g - 8. Let h = 6\/197 - -9981\/2167. Find the common denominator of h and 5\/9*(g + -2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10474719?\nAnswer: 3, 19, 151, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*k - 30*k + 2*k + 10*k in the form l*k + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-6*(-6*(sqrt(88) + sqrt(88)*2) - sqrt(88)))\/((1*3*sqrt(96))\/sqrt(12))*1)**2.\nAnswer: -95304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01175104 to five decimal places.\nAnswer: -0.01175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2301933 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 587173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 27*u**3 - 13*u**3 - 3.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 15*k**2 - 4*k - 26. Let m be o(-15). Suppose 3*i = m - 16. What is the smallest common multiple of i and 58?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 85*s**2 - 11*s + 52. Is j(3) a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*m - 7*m + 6*m)*(12 - 9 + 8).\nAnswer: 198*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 11333241?\nAnswer: -11333245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*x - 2*m - 4, 4*m = 2*x - 12. Suppose 0 = -x*r - 154 + 134. Let w(o) = 2*o + 2. Give w(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**4\/6 + g**2. Let w(b) be the first derivative of -3*b**2 + 1481. What is w(l(k))?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(242) - sqrt(242))*5 + sqrt(242))**2 - (0 + 3*sqrt(242))**2.\nAnswer: -1911 - 110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b - 76a8b?\nAnswer: -76a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31442, -31651, -31834, -31985, -32098, -32167, -32186, -32149?\nAnswer: -32050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (13\/117)\/((-1)\/3) + 13\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02 from -25903.\nAnswer: -25902.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2263650.\nAnswer: 2, 3, 5, 15091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 plus -0.0184792?\nAnswer: 51.9815208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127975849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3122 (base 16) to base 8\nAnswer: 30442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 63 + 50 = a, -a + 31*y - 10 - 159 = -10*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/17 + 246*k\/17 - 244\/17 = 0 for k.\nAnswer: 1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -222 + 4555?\nAnswer: 4333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0783557413 to 4 decimal places.\nAnswer: 0.0784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -5, 13, -1, 0, 4, -4 in decreasing order.\nAnswer: 50, 13, 4, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 15 + 11*g - 4*g - g - 5*g. Does 15 divide p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.07 and -0.0165.\nAnswer: -0.0865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 - 256*h**3 - 1560*h**2 - 3136*h - 2096.\nAnswer: (h - 262)*(h + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 160*t + 4560. What is y(39)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, d: 3}. Give prob of sequence oooo.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2\/f)\/f**(1\/7))**(-19\/4)\/(((f\/((f\/f**(-5))\/f))\/f)\/(f*((f\/f**(2\/7))\/f*f*f*f)\/f*f)*f**(2\/7)*f*(f**(3\/5)*f)\/f*f*f) assuming f is positive.\nAnswer: f**(53\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 5, d: 2, f: 3, r: 6}. What is prob of picking 2 y?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 53\/6*3 + (-3)\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 11:31 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l - 18095 = -25*l. Does 55 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 19*p + 88. Let k be x(12). Solve -130*m + k = -134*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115*q + 79*q + 33*q + 122*q to the form g*q + h and give g.\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/6)\/((-1)\/4). Let v be (-4 - (-38)\/w) + -3. Which is the nearest to v? (a) 8 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 39 = -k + 3*j, -2*k - 2*j + 6 = 0. What is the units digit of k\/(-8) + 450\/24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41278484 divided by -26.\nAnswer: 1587634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*i + 14 = -2*w - 31*i, 0 = -4*i + 8. Put 2, -5, w, -2, -45 in descending order.\nAnswer: 2, -2, w, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/183 and -1\/171.\nAnswer: 10431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/18 and (-1)\/(-6) - (-348)\/(-117).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -29 + (32 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 27 + 56)*(39*l - 1 - 20*l - 20*l) as c*l + m and give m.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 31*q**2 + 29927*q - 108530. Determine o(-969).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(512))**2 - (sqrt(8) - (1 + sqrt(288))**2).\nAnswer: 86*sqrt(2) + 805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38686, 77369, 116054, 154741, 193430?\nAnswer: 232121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(sqrt(539) - sqrt(11)) - (6*sqrt(22)\/sqrt(2))**2 - (-2 + (sqrt(88) - (sqrt(88) + sqrt(88)*-2))\/sqrt(8)*6)).\nAnswer: -90*sqrt(11) + 1970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b + 52*b + 35 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 9*o + 3 + 2*o**2 - 4*o. What is the remainder when x(-5) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2932 - 153. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 21) + -23 + 33 + 10 - 54.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65\/3*z - 1\/3*z**2 - 550\/3.\nAnswer: -(z - 55)*(z - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2*1)\/(2\/12). Let z be (-111)\/2*j\/9. Suppose -5*n = 2*u - z, 5*n = -4*u + 13 + 65. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -8. Is (-3)\/(-4 - b) + 21 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.148, 4, 7.5 in increasing order.\nAnswer: -0.148, 4, 7.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)\/sqrt(80) - (-2*sqrt(2106) - sqrt(2106)))\/(sqrt(32)*3*-6)*-2)**2 + -3.\nAnswer: 92245\/20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*q + 68 - 12 = 0, q = 1. Let w be -1 + (2 + -2)\/(-2). What is the smallest common multiple of (2*w)\/(19\/(-190)) and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2877\/(-2856)*-85*(-232)\/(-145)\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28637 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: Is 480 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.245124 hours to milliseconds.\nAnswer: 4482446.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114.8778 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632454845.\nAnswer: 5, 11, 73, 157523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4664\/(-156) + (-22)\/(-88)*120.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.8 and 0.3289552?\nAnswer: 2.56585056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8728 + -0.7728. What is the nearest to 0.1 in -1.6, 1, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -43 - ((-28 - -99) + -53)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*p - 1. Suppose p*v - 17 = -1342. Let y = -160 - v. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763495.\nAnswer: 5, 37, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 17*a**2 + 43*a - 82. What is g(19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11411 times 0.0916\nAnswer: -1045.2476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (40\/(-6))\/(-2))*-3. Let z = 1195\/29822 - -4\/481. Is z > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17175, 33724, 50273, 66822?\n\"Answer: 16549*q + 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p - 4. Let x be g(-2). Suppose -l - x*l = -125. Let h = l - 5. Calculate the highest common divisor of h and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -60*r - 25. Let k(h) = -121*h - 46. What is -6*k(p) + 11*v(p)?\nAnswer: 66*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -10420000 to the nearest one hundred thousand.\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300254125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12838*w**3\/9 - 826*w**2 + 368*w\/3 - 8\/9.\nAnswer: 2*(7*w - 2)**2*(131*w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in -0.4, -5\/3, 2\/19, -4, -3\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 5. Let u be c(2). Suppose 5*h = 4*z + 7, h - 6*h - 14 = u*z. Let i(l) = -l - 1. Give i(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.887 rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -12?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29982 - -12130. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693 = -13*c - 37*c - 93 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 4, j: 4, y: 8}. What is prob of picking 3 y?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5868000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (235\/22)\/(2 - 19\/10). Let l = 107 - i. Let x = -0.2 - -0.7. Which is the nearest to 1? (a) l (b) 17 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020 - 111?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 8*w - 3*w)*(6*w**3 + 0*w**3 - 4*w**3) - 13*w**4 + 4*w**4 - 5*w**4.\nAnswer: -30*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 1 + sqrt(832))**2*1*4 - ((sqrt(208) - (sqrt(208) - (sqrt(208)*-2 + sqrt(208)))**2)*-6 + (4 + sqrt(208) + 1)**2).\nAnswer: 112*sqrt(13) + 8091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3278885 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434164 is divided by 989?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/22 (b) -29 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7060*r**2 - 2*r + 16388 wrt r.\nAnswer: -14120*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5198.24251+0.3\nAnswer: 5198.54251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5))**(-5\/4)*((m**(-2\/7)*m)\/m)**(-12) assuming m is positive.\nAnswer: m**(103\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*i - 44*i**2 + 30*i + 6*i**2.\nAnswer: -38*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, v: 5, f: 1, j: 3, b: 5}. Give prob of picking 3 j and 1 i.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16 - 34 = 0. Suppose 3*q - 2*q + h - d = 0, h = 1. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 12*u - 639. Suppose 0*k - k = -4*b + 717, -5*b = 5*k - 890. Let o = b - u. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Let a = -2701\/597300 - -7\/1100. Let q = -965\/181 - a. What is the common denominator of q and 38\/13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 15871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 11 = -4*u, 5*r = -2*u + r. Let t be 2 - (u - (-3)\/(-3)). Solve 0 = -3*a - 2*w + 6, 4*a - 5*w - 3 = t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/12 + x. Suppose y - 12 = -5*y. Let v(h) = -11*h**y + 6*h**2 + 7*h**2. Determine z(v(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*h + h - 3*f, -h - f = -6. Differentiate -h*y**3 + 70*y**3 + 38*y**3 - 51 wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 3*c**2 + 5*c - 7. Let w be q(7). What is the greatest common factor of 1904 and w?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133874293.\nAnswer: 7, 19124899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21214375.\nAnswer: 5, 7, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2. Let n(q) = q**3 + 9*q**2 + 3*q + 12. Let p be n(-9). Let r = 8 + p. Let h = 10 + r. Let w(z) = 2*z**2. What is h*w(y) - 4*a(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(108) - 1*sqrt(108)*-2)\/sqrt(9))\/(sqrt(24)\/(sqrt(36)\/(sqrt(6)*2))))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**4\/24 - 3*m**2 + 61. Let q(k) = 5*k + 1. Let h be (-2)\/(-2) + (-6)\/(-2). Suppose w = 3 - h. Determine w*q(j) - 2*c(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**2 + 2*u - 31. Let x = -105 + 111. Let r(j) = -8*j**2 - j + 32. Let o(y) = x*r(y) + 7*k(y). Let c be o(3). Solve c + 2 = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**4\/12 - l**3\/6 + 16*l**2. What is u(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 + 1 - 13*t**2 - 16*t**2.\nAnswer: -21*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -39*r - 195. Let t be o(-5). Let n(b) = b - 2. Let j be n(-2). Sort t, -7, j in decreasing order.\nAnswer: t, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-13 - 2 - (-4 + 1 + 2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*f - 4. Let n(w) be the second derivative of w**4\/12 - w**3\/3 + w**2 + 4*w. Let q(c) = 3*c**2 - 6*c + 6. Give f*n(m) + 2*q(m).\nAnswer: -m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - v + 2*v = 98, 5*d - 88 = -4*v. Calculate the least common multiple of 44 and d.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718 - 1638 = 782*t - 467 + 1893 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 19*i**2 - 11*i - 1. Let d(p) = p**3 - 14*p**2 - 15*p - 10. Let g be d(15). Let a be v(g). Solve -4*z = -z + a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -54. Let j be ((-9)\/u)\/((10\/(-25))\/(-2)). Suppose -4*g + 17 = j*m, 4 + 10 = 3*g + m. Sort -4, -8, g in ascending order.\nAnswer: -8, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183654 is divided by 2267?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.27 - -12.27. Let x = 8 - h. Let d be (-1 - 50\/(-42))\/(252\/294). What is the biggest value in -2, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 4*c**3 - 5*c**3)*(2*c - 3*c - 2*c) + (-76*c**2 + 180*c**2 - 64*c**2)*(0 + 0 + c**2).\nAnswer: 46*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 5:05 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8172 take away -829?\nAnswer: 9001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(170)*6)\/(sqrt(250) + sqrt(250)*-4 + sqrt(250)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1221*h + 1211*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 7*s - 8. Solve 3*w + 5 = -s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122975*n**2 + 406*n + 362 wrt n?\nAnswer: 245950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*h - 14 = -2, 0 = -o + 4*h + 12. Let p = -12 + 14. Suppose 4*c + b = 2 - 1, p*b = 2*c + 12. What is the second smallest value in -2\/11, o, c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.90788 millilitres to litres.\nAnswer: 0.06990788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 + (54 - 50 - (-13 + 2))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -914464.65.\nAnswer: -914464.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1731 and 1731 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5 + 2*b**2 + 3*b + 2*b**2 + 17. Is k(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -495589929950 - 5.\nAnswer: -495589929955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 130292, 256587, 382886, 509189, 635496, 761807?\n\"Answer: 2*t**2 + 126289*t + 4001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15830118.2540979 + 2\nAnswer: 15830120.2540979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {e: 2, u: 2, o: 1, s: 2, p: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2639603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -83.5 times 1320\nAnswer: -110220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.63\nAnswer: -1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 161*f - 325*f + 167*f + 5 - 4*f**2 - f**3 + f**2. Calculate r(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 22822. Let r(x) = -167*x. What is y(r(k))?\nAnswer: 334*k + 22822","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 12 = -30*r. Suppose 19 = -3*u + 2*c, 4*u = -3*c - 2 - 12. Sort u, r, -2 in descending order.\nAnswer: -2, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34, 36, 38?\n\"Answer: 2*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3186, -3145, -9476, -15807?\n\"Answer: -6331*s + 9517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587474?\nAnswer: 2, 83, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01135 to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 3*g**2 - 2*g**2)*(3*g**2 + g**2 - 6*g**2).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0688 and -3.843?\nAnswer: 3.9118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35, 65, 97, 131, 167?\n\"Answer: j**2 + 27*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 35*z + 281. What is t(-20)?\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4045*n**2 + 913*n**2 + 2916*n**2 to the form a*n + u*n**2 + i and give u.\nAnswer: 7874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93\/8 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.3, 0.08, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103600 is divided by 322?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 + -204044?\nAnswer: -204010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2296 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/145 and 10 + (-472)\/48 - 251\/(-330).\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:56 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4168, -7649, -11132, -14617?\nAnswer: -18104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 7*t - 5. Let x be y(-6). Let n(h) = -7*h - x + 2*h - h. Is n(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1836*0.08229\nAnswer: -0.097398444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let y(n) = n - 3*n**2 - n. Calculate y(c(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1485\/(-6) - (1 - 0))*4. Let o = -577 - l. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3, -3829*b - 17965 = -h - 3833*b. List the prime factors of h.\nAnswer: 7, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/48 and -191\/10620?\nAnswer: 42480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21831 - 12627. Let t(g) = u*g - 8 - 7 - 9209*g. Let j(s) = 3*s**2. Give t(j(i)).\nAnswer: -15*i**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 996*j - 3430243 + 3554743 for j.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*c - 3 + 13, 2*w = 5*c - 46. Let x(q) be the first derivative of 11\/2*q**2 - 7*q - c. Differentiate x(o) with respect to o.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -116\/7*o**3 + 0 + 292\/7*o**2 + 176\/7*o + 8\/7*o**4 = 0.\nAnswer: -1\/2, 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 24440832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + (-1 + 3 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**3 - 2*h + 8. Let a(w) = 6*w**3 + 3*w - 8. Let f(t) = 2*a(t) + 3*o(t). What is the first derivative of f(m) wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 120.8925 and -122?\nAnswer: 242.8925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 - -117 - ((-8)\/120 + (-543)\/(-6795))?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.5 - -7. Let y = 0.3 + f. Let p = 1 + -2. Which is the nearest to y? (a) p (b) 2\/3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 + 93.53. Let r = 0.67 + b. Let u = 1 + -0.96. What is the second biggest value in r, u, 1\/3, -2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 2. Let o = f + 1. Which is the third smallest value? (a) 0.3 (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 + x**3 - 3*x**3)*(-3 - 4 - 1 + 0 + 2 + 0 + 2 - 2 - 2 + (0 + 2 + 0)*(2 + 2 - 2) + 2 + 1 - 4).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - d**2 + d**2)*(24*d + 7*d + 5*d).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 2*j**3\/3 - 2*j**2 + 4*j. Let v(i) = -2*i - 3. Let w be v(-3). What is n(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26a7 (base 12) to base 3\nAnswer: -20002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 8*s**2 + s + 17. Does 25 divide l(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4405024 (base 7) to base 4.\nAnswer: -2003232211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3464320 (base 8) to base 7.\nAnswer: -11012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**3 + 2*x**3 - 2*x**3 + (-3*x**2 + x**2 + x**2)*(6*x - 6*x - x) to the form y*x**3 + m*x**2 + z*x + i and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 2, h: 2, e: 1, q: 1}. What is prob of picking 1 h and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 120*i + 88. Determine w(59).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 88\/36 + 2 + -4. Which is the smallest value? (a) z (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.924 + 2.364. What is v rounded to one dp?\nAnswer: -18.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -771001*x**3 + 2201534 wrt x?\nAnswer: -2313003*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s - 2*s - 10681 = 15805. What is the remainder when s is divided by 335?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 4*q = -10, 0 = 3*v - q + 632. Let m = -211 - v. Which is the second smallest value? (a) -0.7 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 3.5. Let y = 2 + f. Let m = -36810\/13 + 625744\/221. Which is the second smallest value? (a) -2 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -105, 0.04441, 1, -0.2?\nAnswer: 0.04441","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 36*h**2 + 3*h + 9. Let t be q(18). Suppose t*k = 62*k + 141. Let z = k + -124. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36641 = 3158*s + 23361 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -118. Calculate the greatest common factor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.3928396 rounded to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 6*j**2 + 5. Let o be s(-6). Let h be 24\/(-40) + 7\/(35\/32). Is o less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0258 + -0.0342. Sort 7, w, -5 in descending order.\nAnswer: 7, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 + 11 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/9)\/(d**(2\/31)\/d)*(d\/d**(-3\/25))\/d**(-12) assuming d is positive.\nAnswer: d**(97262\/6975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1758 - 1781. Let s = 0.6 - 2.6. Which is greater: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j = 2*a + 16, -8 = -3*j + 2*a. Let m = j + 9. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489365.55ns to hours.\nAnswer: 0.000000135934875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 836 = -5*x, -7 = 3*x + 8. Let q be (-377)\/(-3) + (-2)\/(-6). Suppose -o + f + q = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b\/(b\/(b*b**12)*b))\/b)\/b)*b*b**(-6)*b)**(2\/45)*(b**(-9)\/b**(-3\/5))**(-1\/8) assuming b is positive.\nAnswer: b**(17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(68)*-4 - sqrt(68) - sqrt(68)) + (sqrt(68) - sqrt(68)*-6*-4 - sqrt(68) - sqrt(68)))\/((sqrt(100) + -3*sqrt(100)*5)*-5))**2.\nAnswer: 8993\/122500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h, -4*u + 5*h - 29 = -13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10406064189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 865 + -378. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11111111111000011100 (base 2) to base 8\nAnswer: -3777034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/92576 and -5\/68?\nAnswer: 1573792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19699441 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -1361*l**2. Let h(n) = 2424*n**2 + 2416*n**2 - 4838*n**2. Give h(r(s)).\nAnswer: 3704642*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10473272534439*q**4 + 446618368053*q**3 + 6348476277*q**2 + 30080231*q.\nAnswer: q*(21879*q + 311)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -8. Suppose 2*h + 4 = -0*h. Let z = -10.1 + 10. What is the smallest value in z, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -10, -3*f = 4*y - 50 + 9. Calculate the highest common factor of 99 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -7 (c) 49 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/63 and 65\/2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 198 + -195. Let t be (-4)\/18 - 399\/27. Let o be f*2\/(-3)*t\/6. Solve 1 = 3*w + o*i + 16, 5*i + 15 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2064\/457 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -62, -71, -84, -101?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (4 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*k + 88 = 3*k, 2*z - 44 = 4*k. Suppose -z*n = -41*n + 247. Calculate the greatest common divisor of n and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 + 0)*(-1 + (2 - 2)). Let l(j) = 7*j + 51. Let d be l(x). Let t(q) = -2*q**3 + q**2 + 4*q - 3. Calculate t(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1500 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -20*l - 7. Suppose 5*d - 5*v = -10, 2*d - v - 2*v = -4. Let t be ((-18)\/(-6))\/(-2*(-1)\/d). List the prime factors of y(t).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18 and -68.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**4 - 95*n**3 + 285*n**2 + 8775*n = 0.\nAnswer: -15, -13, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30291181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f**4 + f**4 - 13*f**4 + 7*f + 2 - 4*f**2 + 3*f**2 to r*f + q + h*f**2 + z*f**3 + i*f**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 9 = 24. Let o = 48 - i. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 66*n**2 - 5*n + 370. Let r be i(66). Solve -4*o - r = 87*a - 91*a, -3*o - 10 = a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41.1601 - 0.0399. Let i = k - -41. Let b(d) = -d**3 - 7*d**2 - 7*d - 7. Let n be b(-6). What is the closest to i in n, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 3*c**2 - 2*c - 8. Let i be t(4). Let p(u) be the first derivative of i*u - u**3 + 0*u**2 + 4 + 3\/4*u**4. Factor p(m).\nAnswer: 3*m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4, -23, -1\/8, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (578\/8670)\/(1\/390).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -944, -3787, -8526, -15161, -23692, -34119, -46442?\n\"Answer: -948*g**2 + g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = 6*r - 69. What is the common denominator of 3\/18*9*r\/(-22) and (-3)\/(108\/(-106))*3?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 2. Let o be t(2). Suppose -14 + 2 = -o*f. Which is smaller: 5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 37152*f - 86266944.\nAnswer: -4*(f - 4644)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 - -2. Let n = -389.6 + 390. Let z = -3 + -2. Put z, p, n in ascending order.\nAnswer: z, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92628973?\nAnswer: 4049, 22877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -261, -4, 112, 22, -2 in ascending order.\nAnswer: -261, -4, -2, 22, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10230123132 (base 4) to base 2\nAnswer: 100101100011011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/25 and -62\/9?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h*h**1*h)\/h*h*h*h\/(((h\/(h*h**(2\/5)))\/h)\/h))\/((h\/((h\/(h**4\/h*h))\/h))\/((h\/(h*h\/(h**(-1)*h)*h))\/h)))**9 assuming h is positive.\nAnswer: h**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-5406)\/896) + -3. Let z = d + 7\/64. Find the common denominator of (-226)\/20 - (-2)\/4 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 8. Let g(q) = -9*q + 63. What is -4*g(j) + 33*z(j)?\nAnswer: 3*j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 755827, 755888, 755949, 756010?\nAnswer: 756071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = -23*m - 5 + 63, 362*d - 2*m + 94 = 365*d - 0*m for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d + 2 - 2 - d. Let z(i) = 6*i**2 + 112. Let q(j) = j**2 - 7. Let w(s) = -16*q(s) - z(s). Determine y(w(m)).\nAnswer: 154*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/147 + ((-1458834)\/(-21))\/2 + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 2 - 13 - -4 - (4 - 18).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 113, 96, 79, 62, 45, 28?\n\"Answer: -17*v + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.2 and 32442232.\nAnswer: 32442234.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 1 - 17)\/(4\/(-38)). Suppose 2*a + 23 = -4*j + l, -j + 45 = 2*a. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - (-2 - (10 - 13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44734897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwppdqw. Give prob of sequence qxd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 25 = 0, -2*l + 6*l = 3*x + 27. Let a = -93 - -191\/2. Which is bigger: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 2*g - 3. Let z be n(-3). Let c = 6 - z. Solve -3*h + 3*w - c = -3, -3*h + 2*w = 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 2*b**2 + 2*b**3)*(b - 4*b - 3*b) + 2*b**4 + 4*b**4 + 3*b**4.\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23005 - -41279. What is the thousands digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*s = -53*s - 236. Let f = 73 - s. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -140*c**2. Let h(t) = 1394*t. Calculate h(k(v)).\nAnswer: -195160*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3265, 3397, 3633, 3973, 4417, 4965?\n\"Answer: 52*w**2 - 24*w + 3237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/21408 and 139\/396.\nAnswer: 706464","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**8\/6720 + b**6\/720 - b**4\/12 - b**2. Let f(z) be the second derivative of m(z). Give f(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 8. Let i be ((-29)\/z)\/((-7)\/21). Suppose i + 17 = u. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 0 + 1 - (12 - 18)) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2720?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.724 + 0.076. Let v = 1.52 + -6.52. Sort v, -4\/5, h.\nAnswer: v, -4\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*b - 6 = 0, -3*h + 2*h - b = 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24523956*l**3*o**2 - 4*l**3 + 2*l**2*o - 6193*o wrt o.\nAnswer: -49047912*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163525 divided by -5?\nAnswer: -432705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291.99mm in meters?\nAnswer: 1.29199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11090291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*u**5 - 1324*u**4 - 2224*u**3 + 560*u**2 = 0. What is u?\nAnswer: -35, -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**0*p)\/p)**(-13))**(-1\/6)*(p**(2\/7)\/(p**4\/p))**(-3\/10) assuming p is positive.\nAnswer: p**(313\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 293514 - -218267. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2879165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48\/72 + 30\/9. Solve 5*l - 3 = 3*o + 16, 0 = -5*l - 2*o + q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120024321 (base 6) to base 12.\nAnswer: -9020a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/(-55))\/((-2)\/14 - (-146)\/(-2555)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1433143968 to the nearest one hundred thousand.\nAnswer: 1433100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**4 + 20992202*i**3 + i**2 + 72*i + 79030 wrt i?\nAnswer: 24*i + 125953212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56*(-7)\/(21\/12). Let i be (-4)\/(-14) + (-104)\/n. Let t = 291 - 290. What is the nearest to 0.2 in 0.2, t, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 19*f**3 + f**4 + 2*f**2 - 2 + 18*f**3 - 6*f**2 + 0*f**4 in the form s*f**3 + t*f + m*f**4 + k + g*f**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -24, 4\/3, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - ((sqrt(720) - sqrt(720)*-2) + -3)) + sqrt(720) + 1)**2*4.\nAnswer: -384*sqrt(5) + 2944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101010101000110001 + 101?\nAnswer: -11101010101000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - 52. Which is smaller: i or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*x - 10 = -112*x + 4*m, 4*x + 0*m - 4*m - 28 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/(-31))\/((-5)\/((-6 - -8) + -1)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in 8, -108, -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p + 1 - 6*p**2 - 4*p - 4 + 8*p**2. Let f be y(-4). Let o be f\/27 - (-23998)\/6. Round o to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 92*m**3 - 5*m**2 + 51. Let l(s) = -93*s**3 + 4*s**2 - 50. Let t(u) = 3*l(u) + 2*z(u). Find the third derivative of t(v) wrt v.\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16984 is divided by 4233.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 9*i + 17. Let d = 4827 - 4821. What is k(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 460 - 480. Let q = m + 33. What is the smallest value in -4, 1\/7, 3\/7, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 7*f**2 + 6*f - 23. Let z be b(-8). Calculate the lowest common multiple of 8\/(-14) - 15\/35 - z and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 19670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27 and -5222?\nAnswer: 5249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63748473 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3256, 4, -16 in decreasing order.\nAnswer: 3256, 4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(11) + 0 - sqrt(11)) + sqrt(88)\/sqrt(32) - (-3 + -1*sqrt(1584)).\nAnswer: -1 + 25*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -10*f + 16*f. Let d(g) = 1. Let s(j) = -128*j**5 + 416*j**4 - 504*j**3 + 270*j**2 - 54*j - 2. Let c(b) = f*s(b) + 2*d(b). Factor c(z).\nAnswer: -2*z*(z - 1)*(4*z - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7931691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 18706579.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c**3 - 6*c**2 - 155*c. Let o(a) = 8*a**3 + 5*a**2 + 156*a. Determine -5*k(v) - 6*o(v).\nAnswer: 2*v**3 - 161*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.9999728 - 32. Round w to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15691*b**2 + 3*b + b**4 + 15694*b**2 + 2 + 1 to the form q*b + j*b**4 + i*b**2 + y + s*b**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1904536, -1904524, -1904500, -1904458, -1904392, -1904296?\n\"Answer: h**3 + 5*h - 1904542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7749 and 1423233?\nAnswer: 4269699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 4*b**2 - 2*b + 1. Let z be n(2). Let k be -2*-2*(-3)\/(-6). Let o(u) = u**k - 7 - z*u + 3 + u + u**3 + 2*u**2. What is o(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 298311 and 61269?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5809735960 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 - -2 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207 - 430. Let r = 221.06 + o. What is r rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = -4. Let x(a) be the second derivative of a**5\/20 - 2*a**4\/3 + 7*a**3\/6 - a**2\/2 + 2*a. Let v be x(7). Is v less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(0 + 0 + 2) - 2 + 4 - 4 + 2 - 4 + 1 + (-1 + 0 - 4)*(-7 + 8 - 13))*(2*o**3 + o**3 - o**3).\nAnswer: 122*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 + -21 - -7 - -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 4 = -4*u. Suppose 336 = u*z + 2*z. Suppose -4*y + z = -64. Calculate the remainder when y is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(-7\/3))*t)\/t**(-1\/3))\/(t**(1\/8)*t*t**7))**(12\/11) assuming t is positive.\nAnswer: t**(-107\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 0. Calculate the remainder when 54\/2 + (-11 - -9) is divided by ((-3)\/(-2))\/(c\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**5\/60 + 167*q**2 + 1. Let d(u) = 890*u. Calculate i(d(h)).\nAnswer: -792100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 0 + 16. Let a = 53 - 50. Let u(w) = -a - i*w**2 + 2 - w**2 + 4*w - 3*w. Let n(t) = -6*t**2 + 2*t - 2. Determine -3*n(j) + 4*u(j).\nAnswer: -2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-84)*14\/(-3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 612212695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -502*f**4 + 5915*f**2 + 4710*f + 152 wrt f.\nAnswer: -6024*f**2 + 11830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13484098 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2350407*l**2 + 2350380*l**2 + 15*l**3 + 2350383*l**2 - 7051170*l**2.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -148*h + 59. Does 55 divide x(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -630565366?\nAnswer: -630565373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -17*z**2\/2 - 19*z + 366. What is a(4)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-250)\/(-7500)*8*((-1230)\/8)\/(-5).\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, d: 6, z: 1, i: 7, s: 2}. Give prob of picking 2 d.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**4 + 5*p**4 - 4*p**4 + (7*p + 0*p - p)*(3*p**3 + 0*p**3 - 4*p**3).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -13. Suppose 2*g = l*r + 54, -2*g = -r + 6*r - 75. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73\/3 - 24. What is the closest to 0 in 0.2, t, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -91 and -86 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppu when three letters picked without replacement from uuuppruaaa?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**3 - k**2 - k. What is f(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, i: 1, q: 3}. What is prob of picking 1 i, 1 q, and 2 x?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0*q**4 - 3\/2*q**3 + 0*q**5 + 0*q**6 + 24*q**2 + 0*q + 0 + 1\/6*q**7. Differentiate g(s) wrt s.\nAnswer: 140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54a2 (base 13) to base 5\nAnswer: -334133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -33*d + 204 + 337 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-56)*8)\/(3\/(1323\/(-21)))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*g + 763 + 83 + 1520 = -1432 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -88, 181?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/(29\/(8613\/22)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4966, -9690, -14414?\nAnswer: -19138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-464180)\/484512 + 2. Let x = l + -3\/10094. Let c = 177085\/18 - 9835. What is the common denominator of c and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -37, -29729, -3, 5 in descending order.\nAnswer: 5, 4, -3, -37, -29729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*o = 6*o + 34, 2*f = -2*o + 18. Let v be (-40)\/f*12\/(-45). Suppose -2\/21*l**4 - v*l**3 - 26\/21*l**2 - 4\/7*l + 0 = 0. Calculate l.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 0, 2, 5, -821, -1 in decreasing order.\nAnswer: 30, 5, 2, 0, -1, -821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*f - 4 - 0, 2*f - 14 = 3*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 393615756?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -9*v. Let j(n) = 4*n + 82. Let z be j(v). Let k = 184 - z. List the prime factors of k.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-408) - -2*2\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from bbfg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -114, 3, -37, -2, 17 in decreasing order.\nAnswer: 17, 3, -2, -5, -37, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 9 (b) -0.2 (c) -0.22 (d) 0.1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c**3 - 3596*c**2 + 112496*c - 470580 = 0. What is c?\nAnswer: -253, 5, 93\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*1*(6 + -3). Suppose -k + 8*f - 4*f + 20 = 0, w = 5*k + 2*f. Suppose 3 + 105 = k*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 25*l**2 + 2*l - 41. Calculate p(25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -49. Let j = -16 - -22. Let p(u) = -4*u**3 + 5*u**2 - u + 5. Let z(x) = 5*x**3 - 6*x**2 + x - 6. Determine d*z(a) + j*p(a).\nAnswer: a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -148 (base 11) to base 6\nAnswer: -445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/9512 and 23\/725.\nAnswer: 237800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15807 >= 15807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 + (-126893)\/(-56244) + -2. Which is the third smallest value? (a) -1\/6 (b) w (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/((sqrt(120)\/sqrt(2))\/sqrt(5)) - (-2*sqrt(153) + sqrt(612)*-2)**2.\nAnswer: -5508 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11311*38.3.\nAnswer: 433211.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**3 - 3*v**2 + 5*v - 7. Let t(c) = -c**3 + c**2 - c + 1. Give s(w) + 5*t(w).\nAnswer: -w**3 + 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 11:07 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 4*r + 4*b, 4*r - 44*b + 16 = 53*b + 52*b - 146*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 816*g + 1329*g + 1463*g - 3611*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (12 - 26) + 8 + 30 is divided by 248\/18 + 4\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Suppose 8 = d*p - 4*t, -7*p - 3*t + 1 = -3*p. What is the common denominator of 17\/8 and (-1)\/p + (-216)\/160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*(246\/24)\/41.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30919 is divided by 15408?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -349815, -349855, -349895, -349935?\nAnswer: -349975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26382870 by -165930.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1922926092 and 1393.\nAnswer: 1922927485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**6\/2 - 13*c**3\/6 - c + 9. Let t(v) be the first derivative of k(v). Find the second derivative of t(m) wrt m.\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 5. Suppose -14 = 3*v - 5*m, -3*v - 41 = 3*m - 11. Let a(y) = y**2 + 8*y - 3. Let n be a(v). Let l(b) = 4*b - 16. Give n*l(q) - 10*i(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times 58.49441?\nAnswer: 584.9441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 - -119. Calculate the lowest common multiple of 86 and y.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 8*b - 16. Let x(q) = q**2 - 19*q + 35. Let u be x(16). Let d be u\/((1\/(-2))\/((-10)\/(-20))). What is the units digit of s(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 35 = 4*a, a + 10 + 0 = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*k - 464 = -44*k. Let c = -80 + k. What is the greatest common factor of 24 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -46. Let d = -1 - n. Solve -2*t = d*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - j - 7)*(7 + 47 + 15).\nAnswer: -69*j - 207","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -245259 times -4?\nAnswer: 981036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-362)\/(-120) - (8 - 5). Let h(z) be the third derivative of z**2 - g*z**5 + 1\/24*z**4 - 3\/40*z**6 + 1\/6*z**3 + 0 + 0*z. Calculate h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/35, -7942, 130, 2\/19, -4?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5250*z + 12 = -5246*z + 10*t, -4*t - 3 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51*(1450\/87 - (48 + -32))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 17. Let v = -6 + y. Let b = v + -1.6. Sort 0.3, -2, b.\nAnswer: -2, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 130 - 82 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, -7, -6, -1, 5.\nAnswer: -13, -7, -6, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 99312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.887 + 555959083\nAnswer: 555959084.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 9*g**2 - g. Let p be (26 + -23)*(1 + 2). Give l(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 2180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*r = -r - 6, -z + 3*r - 9 = 0. Suppose -4*w + 176 = p, 5*w - 5*p + z = 195. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 250 + -250. Suppose -33140 = -4*c - d*c + 4*a, 2 = a. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -0*t - 4*u - 14, -2*u = 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -31, 0.037, -1\/3?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -882*z**3 + 10*z**2 + 30*z - 292. Let o(g) = 294*g**3 - 3*g**2 - 9*g + 97. Let m(b) = -3*k(b) - 10*o(b). Find the first derivative of m(p) wrt p.\nAnswer: -882*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 5*v**2 - 4*v + 4. Let l be d(4). Find the first derivative of -3 + 6 - 8 - l*o wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 - 5*j**3 - j**3)*(-3 + 1 - 1)*(238 - 1398 - 1697 + 352).\nAnswer: -15030*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21 - 30\/15*(-14)\/(-4). Which is the third biggest value? (a) -0.2 (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -395, -278, -161, -44?\n\"Answer: 117*w - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 578 and 13307005.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(18*(-30)\/(-2700)) + (-1 - -13).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165*-55.5.\nAnswer: 9157.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 - -192. Is 2015447\/63 - u\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*s + 2*s + 3*n, -2*s + 10 = -4*n. Suppose -4*c = c. Suppose -3*p + c*p + 6 = 0. Solve 0 = s*a - p*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 - 256972\/10710 - 80.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 443610816?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253692 and 1160568.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*d + 63 = 0, p - 34 = 4*d + 27. Let t = p - 49. Put 5, -5, 1, t in increasing order.\nAnswer: -5, 1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, m: 5, v: 4, a: 2, c: 2}. What is prob of picking 1 a and 1 v?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (0 - 1) - 5) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcccmclmccccmml. Give prob of picking 1 l and 2 c.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45383*g - 143282?\nAnswer: 45383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -11*y + 39. What are the prime factors of p(-14)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (6 - -2) - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.077 and -45?\nAnswer: 37.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 12:00 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from wwswzwwswuwwszww?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 48 = -2*p - 0*p, -4*o = 3*p - 95. Let w = -21 + p. Solve 2*v = -4*d - 24, -2*d - 4*v - w = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1007 = -a - 65*r + 70*r, 2*r = -4*a + 3962. Is 992 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -7\/18, 3\/4, -0.12 in descending order.\nAnswer: 11, 3\/4, -0.12, -7\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1550)\/(3 - ((-70)\/(-2))\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-44199)\/6*(-8)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -15*q**2 - 13*q + 2. Let w(n) = -8*n**2 - 7*n + 1. Let h = 2 + -2. Let i be 8*(h - (-1)\/4). Let d be (9\/(-9))\/(i\/12). What is d*y(t) + 11*w(t)?\nAnswer: 2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 + -34?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300390 and 55335.\nAnswer: 2102730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grgrrrrrrgrr. Give prob of sequence gr.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 2\/((-12)\/30). Let o be (-1 - -7)\/(-1 + y\/(-3)). Let r be (1*(-3 + o) + 0)\/3. Solve r = -2*s + 3 - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -872, -2577, -5116, -8483, -12672, -17677?\n\"Answer: p**3 - 423*p**2 - 443*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 781196 and 255268.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 6. Let i be -4 - (-5 - (-5 + 4)). Let n be (-8)\/(-2) + 0 + i. Sort n, 5, m.\nAnswer: m, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) -770\/3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-121)\/(-13 - -2) + 17020.\nAnswer: 3, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1404114 and 87606.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 25*q**2 + q + 19. Is j(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.9 minus 248.6?\nAnswer: -226.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8494\/17661 - 4\/841. Let g(t) be the first derivative of 19 + 12\/7*t**2 + 8\/7*t + o*t**3. Factor g(m).\nAnswer: 2*(m + 2)*(5*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(2*h + 0*h + 0*h)*(-3 + 2 + 2)*(-3*h - 2 + 2).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -2\/13, 8\/25, -0.8 in decreasing order.\nAnswer: 0.9, 8\/25, -2\/13, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 2. Let o be p(3). Let r = o + 5. What is the third biggest value in 1\/5, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 16*q**2 + 5*q - 6. Let l be c(4). Suppose l = 13*j - 8*j. Suppose j = h - a, -h + 59 = -3*a + a. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23303, 31000, 43829, 61790, 84883, 113108, 146465?\nAnswer: 184954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f + 20 = 5*p, -5*p - 3*f = -26. Suppose -p*z = -2*z - 5215. Let k = z - 384. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-55))\/((-4)\/(-20))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 29*d**4\/24 - d**3\/3 + 16*d**2. Calculate the remainder when j(1) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9)\/a)**9)**(-4)*(a*a*a**7*a*a**(3\/8)*a)\/(a*a**2\/a*a)**9 assuming a is positive.\nAnswer: a**(227\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 11*t. What is the units digit of m(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m + 3. Calculate n(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r. Suppose 8191 = 20*h + 8291. Let k(t) = -9*t. Calculate h*a(x) - 3*k(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2\/7285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**2 + 3*v**2 + 7*v**3 + 0*v + 4*v wrt v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8037 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-143032)\/94100*(-25)\/2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -93. Let o be (p\/4)\/(2\/4). Differentiate 41*i + 7*i**2 - o*i + 2 with respect to i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 q when three letters picked without replacement from qqglc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60829 + 3*g + 60829 + 34*g**2)*(1 - 1 + 2*g) to q*g**3 + z*g**2 + v + x*g and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2464112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 110 (b) 0.4 (c) 2 (d) -2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 972, 1556, 2530, 3900, 5672, 7852?\nAnswer: 10446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/8052, 4\/11 in decreasing order.\nAnswer: 3, 4\/11, 1\/8052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b**2 + 143*b - 74*b - 69*b - 1812*b**3 + 21*b**2.\nAnswer: -1812*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*z**3 + 9*z - 28*z + 19*z - z**2 - 44 wrt z.\nAnswer: 27*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-3 + 1))*3. Suppose t*v + 3*v + 12 = 0. What is the remainder when 49 is divided by ((21 - v) + 2)*1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2. Let k(j) be the second derivative of j**7\/1260 + 25*j**4\/12 + 5*j. Let y(z) be the third derivative of k(z). What is p(y(t))?\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 6, a: 3, x: 7}. Give prob of picking 2 a.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-38))\/(261\/(-34713))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + (1*sqrt(78))\/sqrt(6))*4)**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1113 (base 5) to base 7\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f = -5. Let a be f + (1 - (-3 - -3)). Let -2\/9*k + 0 - 2\/9*k**a = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 11. What is the remainder when 48 is divided by o(-14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136944 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 16*t**2\/3 - 20*t\/3.\nAnswer: -t*(t + 2)*(3*t + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7952789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012289242 rounded to 5 decimal places?\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z + 1, -s + 4*z - 8 = 0. Solve 0 = -0*t - 5*t - 3*w - 25, -s*t - 2*w - 20 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2747\/7370 + (-3)\/11 - (-7)\/(-28)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12764.85 * -0.1.\nAnswer: -1276.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**5\/90 + 17*q**4\/36 + 16*q**3\/9 - 111*q**2. Factor u(w).\nAnswer: 2*(w + 1)*(w + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-2)))\/g*g)\/g**(-1\/10)*g**9\/(g*(g\/(g\/(g**1*g)*g))\/g))**(-16\/9) assuming g is positive.\nAnswer: g**(-808\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 + -253. Let m = 11.02 - 0.02. Put 3\/4, m, s in increasing order.\nAnswer: s, 3\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 66 - 45 = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**3 + 3*z**2 - 25*z - 5. What is the hundreds digit of a(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 316252 divided by 1\nAnswer: 316252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 181 divided by 54797\nAnswer: 181\/54797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03731 - 3.96269. Let q = -0.03 + -1.97. Which is the second biggest value? (a) m (b) q (c) 1\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m + 45 + m**2 + 3*m**2 - 47)*(3 - 3 + 3*m).\nAnswer: 12*m**3 + 18*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6, 863, 2352, 4473, 7226, 10611, 14628?\n\"Answer: 316*j**2 - 91*j - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 398, 790, 1182, 1574?\n\"Answer: 392*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**3 - v**2 + 2*v + 5. Does 36 divide y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*n + 20*n + 44. What is the greatest common factor of 28 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3\/3 + 572*a**2\/3 + 144104*a\/3 - 48224 = 0. What is a?\nAnswer: -132, 1, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1060*j**2 + 160*j - 160. Let l(k) be the first derivative of -20*k**3\/3 + 3*k**2\/2 - 3*k - 1630. What is -3*b(c) + 160*l(c)?\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11399409 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4525, 2\/11, 0, -53, 1\/17 in decreasing order.\nAnswer: 4525, 2\/11, 1\/17, 0, -1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(2) + -1 + (sqrt(2) + -1)**2) - sqrt(22)\/sqrt(396) - (sqrt(32)*2 - ((sqrt(12)\/sqrt(6))**2 + 0)).\nAnswer: -37*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 699353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, 61, 231?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*t = -123*t + 7 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1106*z**2 - 1917 wrt z?\nAnswer: -2212*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 3 + 8 - 3*k)*(-14*k - 24*k + 21*k + 0*k + 3*k - k + k + 2 - 2 + (0 + 1 - 6)*(-k + 0*k + 0*k)).\nAnswer: 9*k**2 - 99*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 367703 divided by 149\nAnswer: 367703\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b - 3. Does 5 divide k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 47, 98, 147, 188, 215?\n\"Answer: -r**3 + 5*r**2 + 43*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*d + 33*d + 6*d)*(0 + d + 0).\nAnswer: 63*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i - 18. Let y be g(11). Suppose 5*v + y + 6 = 0. What is v rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10010000?\nAnswer: -10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.2, -0.3, 95\/473?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 2*f + 3. Let y(n) = -271*n**2 + 12*n + 77. Let k(q) = -6*h(q) - y(q). Find the first derivative of k(m) wrt m.\nAnswer: 554*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1253044\/5 >= -250608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -18859.\nAnswer: -17\/18859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/153 and -121\/12?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -464*a + 1861. Let n be v(4). Sort 3, -4, n, -786.\nAnswer: -786, -4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185 + 191. Find the common denominator of 65\/24 and t - (-5 - -13) - 31\/(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -400*y + 156*y - 769*y - 58*y to the form d*y + v and give d.\nAnswer: -1071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 - 2*i**2 - 3*i + 3. Let w be z(2). Let g = 462 + -369. Let h be g\/(-62)*8\/(-6). Solve -35 = 5*d + h*u - 0*u, -w = u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*f - 34 = 70*f + 74. Solve -f*r - 5*i + 5 = -10*i, 4*i = -3*r - 31 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-390)\/(-9))\/(2 + (-8)\/6). Let p = k + -62. Suppose p*a + q - 84 = 0, 0 = -2*q - 6 - 0. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551954 is divided by 11705.\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*l - 63 - 80*l + 41*l + 76*l**2.\nAnswer: 76*l**2 + l - 63","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 97*x**2 + 195*x - 460. Give l(95).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -17. Let y = p + -16. Which is the second smallest value? (a) y (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 4. Let u(b) = -6 + 6 + 6*b**k. Let o be u(2). Calculate the highest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, l: 2, p: 1, f: 1, d: 1}. What is prob of sequence sfp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 125. Let z = b + 50.6. What is the biggest value in 0.3, 2, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(240) + 2*sqrt(240) + sqrt(240))*1)\/(5*sqrt(84)\/(sqrt(252)\/sqrt(9))).\nAnswer: 48*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/18 + 7\/(-4) + 1. Let l = -77.47 - -78. Let j = l + -0.33. Sort k, 2\/25, -4, j in decreasing order.\nAnswer: j, 2\/25, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 24*k - 48. Let p(j) = -j + 1. What is f(t) + 48*p(t)?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*6\/360*10 + (-623)\/(-9)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*m + 112*m - 8 - 8 = -6*w + 6, -12 = -4*w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4637 + -0.0143. Let h = 0.022 - w. Let i = -1 - -3. Put 0, -0.5, i, h in ascending order.\nAnswer: -0.5, 0, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -22. Let h be 2\/n + (-236)\/12 + -4. Put -3, h, 4 in descending order.\nAnswer: 4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (27 - (30 + -52)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*n + 7, -3*h + 5 = -n - 2. Let f be h + (-3)\/(-3)*1. Suppose f*r = 5*l + 16, 2*l + 7 + 6 = -r. Sort -0.5, -2, r in increasing order.\nAnswer: r, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8494535 microseconds to minutes.\nAnswer: 0.000000030824225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/4*(-4 + 6). Suppose 2*n - 26 = 4*p, 0 = 2*p - 0*p. Calculate the remainder when (-6)\/(-21) + (-348)\/s is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4. Suppose 0 = 4*g - 23 + 7. Let b(x) = -x + 6. Let c(a) = g*b(a) + 6*q(a). Let y(o) = -5*o**2. Give c(y(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4*(1\/(-2))\/((3\/72)\/((-59)\/(-354)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1893*-256.\nAnswer: 484608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -49 - 206. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/7 + 1057092*t\/7 + 11628496\/7.\nAnswer: -4*(t - 264284)*(t + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2\/31))\/(q**(2\/49)*q))\/((q**8*q)\/q*q)**(-6\/17))**18 assuming q is positive.\nAnswer: q**(1427508\/25823)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 146*s. Let m(a) = -4*a**2. Calculate m(h(i)).\nAnswer: -85264*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 17*a**2 + 12*a + 63. Suppose 74*x = 81*x - 112. Let d be n(x). Let w(b) = -7*b - 2. Give w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - n - 47 = 0, 7*v - 3*v + 5*n = -191. Let b = v - -98. Suppose 3*d = 246 - b. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.12535 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + 1)*25\/15. What is the units digit of ((-12)\/r)\/(18\/(-120))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 235, -363, -2 in increasing order.\nAnswer: -363, -6, -2, 5, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2156 divided by 1?\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 0) + (-15)\/(-6). Let q = 2079 - 2084. Which is the nearest to y? (a) q (b) 3\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*v - 11847, -3*b + 66*v + 17779 = 65*v. What is the thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 1, u: 2, g: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -13*g + 21 - 12*g + 26*g. Let q be r(-11). Calculate the greatest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*g**4*h**2*o + 8*g**2*h**2*o - h**2 + h*o + 2 wrt g.\nAnswer: 68*g**3*h**2*o + 16*g*h**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236949 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - 3*(sqrt(190) + -1*sqrt(190)))\/(sqrt(540)\/sqrt(6)) - -5*(0 + sqrt(171)\/(2*sqrt(9)))**2.\nAnswer: sqrt(19)\/3 + 95\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:36 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4825704 divided by -24\nAnswer: 201071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (4 + (-2 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgzg when four letters picked without replacement from {g: 5, z: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**2\/4 + 95*r - 381\/4 = 0.\nAnswer: -381, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -254*w - 9990. Give u(-28).\nAnswer: -2878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 5*d + 37, -21*s + 22 = -18*s - 2*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 32674 = 4*u + 32668, -2*x + 5*x + 3*u = -45 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -10*c - 20 - 13 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -m + 2629, 2*u + 3*u + m - 6565 = 0. What is the tens digit of u\/6*(-12)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4022000 rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -7. Let r(d) = d**2 - 2*d + 7. List the prime factors of r(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440*l - 140 = -412*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34440 - 1?\nAnswer: 34435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-75)\/(-1250)*115090)\/((-6)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 13*x**2 + 41. Let w(f) = 170*f**2. Determine p(w(y)).\nAnswer: 375700*y**4 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4459213 to the nearest integer?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (19 - 13) - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 77. Suppose g = -6*x + 22 - 52. Put x, -11, 2 in ascending order.\nAnswer: -11, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5*12\/630)\/(2\/6). What is the nearest to a in 0.4, 2\/7, 4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54231399 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 + 15*k - 2*k**3 - 12*k as s + u*k + i*k**2 + z*k**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 7. Let l be f(8). Let q be 33\/6 - l\/2. Suppose -3*o + 4*t + 90 = 0, 3*t - 27 = -q*o + 152. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -12, 1, 0 in ascending order.\nAnswer: -12, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3668053 rounded to 3 decimal places?\nAnswer: -0.367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1134645 + 194645. What is y rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 8. Let u be w(11). Factor 2*p**4 - 2 + p**u - 4*p + 3*p**3 + 0*p**4.\nAnswer: 2*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 70, 94, 128, 172, 226, 290?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*(-4)\/(-8)*1. Let w(r) = -4*r - 3. Let i(s) = -3*s - 3. Let k(z) = 5*i(z) - 4*w(z). Let m be k(u). Which is smaller: 3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15820606 divided by -2\nAnswer: 7910303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -12. Let m be (g\/(-2) - 4) + -4. Is -4\/7 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {t: 4, k: 2, m: 1, v: 5, x: 1, a: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3637740?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**3 - t**2 + t**2.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4))**(-36))**7*((g**4*g)\/(g**6\/g))**(33\/5) assuming g is positive.\nAnswer: g**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 29, -4, -9, 2, 79, -43 in descending order.\nAnswer: 79, 29, 3, 2, -4, -9, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2*(-1)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 183)*(0 + 3 - 4)*(4*v - v + v) in the form z*v + u and give z.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -51. Let i be (-4)\/o + (-48)\/(-22). Let f(x) = -2*x + 4. Let s be f(0). Solve i*q + 4*r + 8 = s*q, -3*q + 12 = -5*r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8b0 (base 14) to base 13.\nAnswer: -a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*m - 1, 5*f - 82*m = -78*m + 5. Let s = -3 + 1. Which is the nearest to f? (a) -1 (b) s (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112102 is divided by 1156.\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 + (21 - 20))*(10 + (-260)\/30).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/(3\/6). Let c be 2 - 0 - (-2 + 2). Sort 5, t, c.\nAnswer: t, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55.2681 - 0.0681. Let f = c - 55. Let q = 6.1 + -1.1. What is the closest to f in -5\/4, 5\/2, q?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3796 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 2, j: 4}. What is prob of sequence jjr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14164.61mm in micrometers?\nAnswer: 14164610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -215*m**2\/2 + 6*m - 168. What is the units digit of n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2 (c) 1 (d) 0.3 (e) 2\/67 (f) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 + 3*c**3 - 431 - 351 + 782.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9759 + 0.0459. Let a = y - 2.07. Sort a, 3, -2\/3.\nAnswer: a, -2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)*j**(-14))\/((j\/(j*j**(2\/13)*j))\/((j*j\/(j**(1\/15)\/j))\/j)) assuming j is positive.\nAnswer: j**(-4078\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 39*k - k + 546 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.69376 decades in centuries?\nAnswer: 2.669376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3 + 1 = 2*t, 0 = 5*t - 5*c - 55. Suppose 230*x + 35340 - 36260 = 0. Solve 0 = -4*h + z - 17, -3*h - h + x*z - t = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2615)\/10944 + 122\/1159 and -47\/192.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**4\/24 - a**3\/3 - 5*a**2 - 14. Let y = 5 - 8. Let n(x) = 2*x - 3. Give y*d(s) + 2*n(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 13\/(-7) - 18\/42\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-28)\/(-24)*108\/(-8) and 13\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 3*w - 2. Let r be t(-4). Let d(v) = -4*v**r + 0*v**2 - 3*v**2 - 3*v**3 - 7 + 2*v**3 - 5*v. What is the units digit of d(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*8.2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, 9, 32, 75, 144, 245, 384?\n\"Answer: v**3 + v**2 - v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 1826.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9 = -g. Suppose -g*j + 0*j + 12 = -3*z, -5*z = -3*j + 6. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 2. Let y(a) = -44*a + 26. What is -78*c(f) + 6*y(f)?\nAnswer: -186*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 32*h = 12. Let i be (-21)\/(-1)*(-34)\/h. Calculate the common denominator of -25\/22 and 48\/(-120) + 2\/((-220)\/i).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 12*w**2 - 36*w + 5. Let m be z(-7). Solve m*t + 12 = 72 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -66. Calculate the highest common divisor of 42 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1087*s**3 + 0*s - 1085*s**3 + 0*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**4 - 1168*x**3 - 2352*x**2 = 0?\nAnswer: -2, 0, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24257 by 1.\nAnswer: 24257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 54. Find the common denominator of (-74)\/42 - 3*(-10)\/w and -127\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 + 2*c**4)*(3 - 2 + 1) - c**4 + 101 - 101.\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -977, -924, -871, -818, -765?\n\"Answer: 53*i - 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1521 + -881. Suppose 20*z = -0*z + 180. What is the tens digit of (g\/(-12))\/(-5)*z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 27791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:34 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 + 60*c + 16. What is the remainder when 40 is divided by h(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5\/5 - 18*d**4 + 172*d**3\/5 = 0.\nAnswer: 0, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12141 - 22.9.\nAnswer: 12118.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 72 = 8*m. Calculate the remainder when 68 is divided by -1 + m + 0\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 113052.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. What is the common denominator of 81\/22 and (t\/(-110))\/((-8)\/580)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 0 - 2*z**4 - 6 + z**2 to the form w*z**4 + j*z + s*z**3 + o + q*z**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8106252 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 13983298.7?\nAnswer: 13983299.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -307.983 rounded to the nearest integer?\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.294893 rounded to one dp?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**2 - 15*m. Let d(t) = 7*t**2 - 14*t. Let v(s) = 7*d(s) - 6*j(s). Let q be v(8). Solve q = 3*c - 17 + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -38*j**3 - 5*j**2 - 5*j + 4. Let b(a) = 39*a**3 + 6*a**2 + 6*a - 5. Calculate 5*b(u) + 6*g(u).\nAnswer: -33*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122210 and 5770534.\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3433*u + 353628. Calculate f(103).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 + 65*z**2 + 29*z + 125. Let t be r(33). Let b(s) = s**3 + s**2 - 36*s + 6. Determine b(t).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*w**2 - 2*w**2 + 0*w**2)*(-154*w + 288*w + 266*w)*(-2*w + 2*w - 2*w) to h*w**2 + o*w + k*w**4 + f*w**3 + p and give k.\nAnswer: -3200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3316492 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((0 - 1)*-1)\/(21\/84). What is the tens digit of 54*-5*d\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 7*p + 4. Suppose -p*b + 12 = -2*j, 3*b = -0*j - 3*j + 27. Suppose 0 = t - b*t + 16. Solve c - t*c = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 9*r - 17. Let m be n(4). Suppose -m*k + 93 = 3*q, 3*q = 2*q - 2*k + 32. Calculate the highest common factor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 14 = -3*s - 4*j, 40 = 2*s - 4*j. Let w be (-240)\/s + (-4)\/6. Is 7\/(w\/(-4)) - -197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiiaahaaaa. What is prob of sequence ihi?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*r + 8. Suppose -j - 28 = -4*z + 3*j, 0 = z - 5*j - 19. Let m = z + r. Solve m = 2*c - 0*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(133)\/(-5*sqrt(252)) + (sqrt(133)*-3 + sqrt(133))\/sqrt(7)*-2 + 0)*6.\nAnswer: 119*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -286 and -24?\nAnswer: 6864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 251*y**8\/14 - 1003*y**4\/12 + 2801*y. What is the third derivative of h(l) wrt l?\nAnswer: 120480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-55) - 136\/385. Let z = -8\/35 + b. Put z, 4\/5, -1\/4 in descending order.\nAnswer: 4\/5, z, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/2 + 411*w**3 + 311590*w**2 - 411*w - 623179\/2 = 0. Calculate w.\nAnswer: -479, -1, 1, 1301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4527472 divided by 1131868.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1*28\/21 + 88681 + 36 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12171464.\nAnswer: 2, 59, 107, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/3 + 1111*c**2 + 11085*c + 83075\/3 = 0. Calculate c.\nAnswer: -3323, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -116*c - 190198 + 202958. Let z(y) = -8*y. Calculate the remainder when c is divided by z(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**3 + 64*b**2 - 209*b + 8. Determine v(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 927 = 2*f + 935, -4*f + 4*y = -40 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580*f - 570*f - 487310 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 510460392 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 - 117804*r**2 + 11160080*r - 140908800 = 0. Calculate r.\nAnswer: 15, 80, 29356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17018 - 17018 + q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 1. Let c(o) = 17*o + 11. Give -2*c(v) + 22*s(v).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2174*t + 1536*t + 314*t + (4 - 2 + 0)*(3*t - 6*t + 5*t).\nAnswer: 4028*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353667 is divided by 70078.\nAnswer: 3277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 16*c**3 - 4 + 18*c**3 + 3*c**2 + 3 as o + z*c + v*c**3 + p*c**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 100\/(-32) + 3 + 4994\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 4. Let i be (-2)\/8*(-4)\/(-6). Which is the smallest value? (a) i (b) t (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 12 (b) 2 (c) -0.096 (d) 9 (e) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.3. Which is greater: j or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 16*d**2 + 13*d + 25. Let x be z(15). Let r be (-2)\/3*(-2 - x). Let f = -0.2 + 0.1. Which is the closest to -0.1? (a) 1 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 130?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 57 + 0 - (3664 + -3637)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 0*i + 2240. Suppose -5*p = 5*m - 0*p - i, 2*p = -3*m + 339. Let a = m - 4. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6312196 to the nearest integer?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(418\/33)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = -60. Let b(a) = a**2 + 3*a - 63. What is the remainder when z is divided by b(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2112202201121010?\nAnswer: -2112202201121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*y**2 - 22*y**2 - 17*y**2 - 5*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(11) + sqrt(44))**2 - (sqrt(11) + 4*sqrt(1331))**2).\nAnswer: -22181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -320729\/18 - -17824. Calculate the common denominator of -73\/315 and y.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9601237 centuries to years.\nAnswer: 96.01237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 29. Suppose 101 = -g*m + 3*m - 5*w, w = -4*m + 425. Calculate the least common multiple of m and 12.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-134)\/67)\/((-4)\/2). Which is smaller: 1\/552 or a?\nAnswer: 1\/552","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 16\/15 of a minute?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34425a - -1?\nAnswer: 34425b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1\/12*(-12)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 29*x**3 - 17*x + 14. Let i(c) = 10*c**3 - 6*c + 5. Let z(m) = 6*f(m) - 17*i(m). Let s(a) = -9*a**3 + a + 2. Calculate -2*s(q) - 5*z(q).\nAnswer: -2*q**3 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -4)*(-15)\/(-3). Let y be i\/40 + (-50)\/(-72). Let k be 3 - -3 - (-138)\/(-21). What is the nearest to 0.1 in y, k, -4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c**3 - 19979*c**2 - 1164770*c - 1144800 = 0. Calculate c.\nAnswer: -2160, -530\/9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*g + 286*g + 1722 = 0 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**3 - 3*a**3 + 0*a**3)*(a + 4*a - 4*a) + 11*a**4 + 103*a**4 + 30*a**4 + 24*a**3 - 24*a**3 + 4*a**4 as g*a**4 + b*a**2 + r*a + y*a**3 + n and give g.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -273, -410, -547?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvvvjvivivv. What is prob of picking 2 j?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h - 151*h**2 - 13 + 35 - 21 + 3*h to the form p + d*h**2 + t*h and give d.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 2 (b) 0.63 (c) 0.073 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4303 is divided by 251.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = -c. Let o = -387 - -391. Let v(u) = -2*u**3 - 9*u**3 - 9*u**c + 5 + o*u**3. Let i(p) = 4*p**3 + 5*p**2 - 3. Determine 5*i(x) + 3*v(x).\nAnswer: -x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*d + 462 - 462.\nAnswer: -77*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 11, 2\/11, -2\/19, 89 in increasing order.\nAnswer: -2\/19, 1\/10, 2\/11, 11, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1438476282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(500)*-2*-6 + sqrt(500) + sqrt(500) + sqrt(500) + sqrt(500) + sqrt(500)*1*4 + sqrt(500))\/((sqrt(50) - (sqrt(300)*2)\/sqrt(6))\/sqrt(5)))**2.\nAnswer: -66150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 19*v**2 + 83*v - 67. Give w(22).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-22635)\/(-18)*(-384)\/(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33805, -67608, -101407, -135202?\nAnswer: -168993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3, -24, 0.105 in increasing order.\nAnswer: -24, -2\/9, 0.105, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21981 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**18\/(a\/a**(1\/11)) assuming a is positive.\nAnswer: a**(188\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jos when three letters picked without replacement from jssoa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10533 a factor of 736383096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-2)*24\/20. Let l be ((-4)\/3)\/((-2)\/j). Suppose -70 = 3*o - l*o + 3*u, 2*o = 5*u + 28. Calculate the highest common divisor of 154 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 1, p: 1, u: 1, v: 1, t: 2}. What is prob of picking 1 v, 1 d, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4 + 900*v**3 + 4551*v**2 + 7308*v + 3660 = 0. What is v?\nAnswer: -2, -1, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-2) + 1\/(-2). Suppose -u*h - 134 = -374. Suppose -3*v = v - h. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 124\/(-24) + 15 - (-10)\/(-12). Solve -p*r + 21 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7048*y**2 + 102*y + 281. What is the thousands digit of c(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2\/9 - 126540*s + 76321576\/9 = 0. Calculate s.\nAnswer: -284782, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10474 - 12444. Is 1 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1189 and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/((q*q*q*q**(-5\/2))\/q)*q*q*q**(-5)*q**(1\/12)\/(q*q\/q**7) assuming q is positive.\nAnswer: q**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccccccccrccc?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -2\/15, 7\/5358?\nAnswer: 7\/5358","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378934.\nAnswer: 2, 689467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 2:30 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**4 + b**4 - 2*b**4 + (-3 + 2 + 2)*(5 + b**4 - 5 + (2*b + 0 + 0)*(b**3 - 5*b**3 + 2*b**3) - 3*b**4 + 4*b**4 + b**4).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-10 + 11 - -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 2*y - 9. What is g(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*w + 81*w - u + 6 = 0, -18*w + 2*u + 87 = 7*u + 6*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1552 and 4?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - 30*f - 25. Let x be q(-14). Find the second derivative of 32*c + 144*c**4 + 32*c**3 - 32*c**x + 48*c wrt c.\nAnswer: 1728*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k. Let d(h) be the second derivative of -16*h**4\/3 + 202*h. What is u(d(i))?\nAnswer: -192*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -f - 4*r, -7 - 12 = 5*f - r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162760 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*c**3 - 7204*c**3 - 20241*c**3 - 3974*c**3.\nAnswer: -31457*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 23*t**2 + 9*t - 24. Let x be v(24). Suppose -5*z = -x - 247. What are the prime factors of z?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -0.9, 2\/9, 4, 0.214?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - g - 1 + (-3 + 2 + 2 + (5 + 1 - 11)*(5 - 3 + 0))*(-3 - 3*g + 3).\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2442 by -29562.\nAnswer: 407\/4927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9320 and 28420408?\nAnswer: 142102040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1492307 to three dps.\nAnswer: -0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 418940 or 2932589\/7?\nAnswer: 418940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tter when four letters picked without replacement from {r: 8, c: 4, e: 1, t: 7}.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*j + 65*j - 18. Let 4*y**5 + 25*y**4 - 104*y**j - 125*y**4 + 108 - 112*y**3 - 8*y**2 + 212*y = 0. Calculate y.\nAnswer: -1, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 + 2*u**2 + 2*u + 1. Let l(z) = z**3 + z**2 + z. Let x = 0 + 3. Let i be 0 + (x + -5 - -3). Calculate i*a(p) - 2*l(p).\nAnswer: p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -38 + 3. Let m = -46 - -50. Let u be m\/(-14) - (-2460)\/a. What is the greatest common divisor of 28 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, k: 6}. Give prob of picking 3 k.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18389 - 329611 = -4*b. Suppose -4*d + d = b. Round d to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15d283b + 0?\nAnswer: -15d283b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18062 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76201*u + 76204*u = 5*h - 7, -5*u - 21 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36632694617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 801 = -510*d + 1311. Suppose 0 = -4*s - 3*x - 8, 0*s + s - 2*x = -2. Put 1.11, d, s in decreasing order.\nAnswer: 1.11, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14158 + -2003. Is 85 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16751 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 58.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2662 - 2661. Sort -5, -15, 2, m in ascending order.\nAnswer: -15, -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -5\/4 (c) 0.2 (d) 4 (e) 228\/47 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89303348.\nAnswer: 2, 37, 603401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 0*g = -2*g - 13, 4*n = -4*g - 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, -0.02, -82, 1.3 in decreasing order.\nAnswer: 1.3, -0.02, -0.2, -0.4, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + 4 + -5.\nAnswer: -1 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141218026\/9 - 15672008. Let m = t - 33280411\/1764. Let i = m - 102\/49. Find the common denominator of i and 31\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + o - 101. Let d be s(0). Let k be 207 - (100 - 100)*1\/3. Let y = d + k. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/11*h**2 + 8\/11*h + 2\/11*h**3 + 0.\nAnswer: 2*h*(h - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 m when three letters picked without replacement from {m: 13, n: 3, k: 4}?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20078 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4469, -4468, -4467, -4466, -4465?\nAnswer: -4464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 4a?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139840583 or 139840586?\nAnswer: 139840583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121477384 divided by 26971.\nAnswer: -4504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*s - 33*s - 944 + 80 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 6. Let c be g(-7). Suppose -z + i = -0 - 4, 2*i = 4*z - 18. Let r = z + 1. What is the greatest common divisor of c and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687 a factor of 22999386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 79, 339, 765, 1351, 2091, 2979, 4009?\n\"Answer: -s**3 + 89*s**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z**3 - z**2 + 3 - 5*z**4 - 2*z**2 + 7*z**4 + 5*z**2 in the form o*z**4 + n + v*z**2 + w*z + c*z**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*q + 41, 3*q = -c - 0*q + 66. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = -50*i + 8580. What is the remainder when i is divided by 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c. Let j be (c + 2)\/((-14)\/35). Sort 6, -1, j in increasing order.\nAnswer: j, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 842 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -328\/19 != -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**4 - 138*b**3 - 1431*b**2 + 3888*b + 5184 = 0?\nAnswer: -24, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 102*t + 108*t - 134*t)*(-638 + 53*t - 18*t + 638) to k*t + m*t**2 + p and give k.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 + 0 + 0)*(-2 + 2 + 3) + 3*p**2 - 4*p**2 + p - 3*p in the form x*p**2 + q + t*p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/12)\/(-2))\/((-6366)\/48806)\nAnswer: -23\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3209 - 0.0761. Let w = k + -2.603. Let y be 3\/(-6) - 38\/(-60). Which is the closest to -1\/4? (a) w (b) 0.9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8*z - 6. Let s(h) = 13*h - 2. Let g(b) = -5*b + 6. Let u(n) = -g(n) - 2*s(n). Determine y(u(f)).\nAnswer: 168*f + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -4 (c) 196\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.27 - 12. Let z = 3.73 + o. Which is the smallest value? (a) 5 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46*h**4 - 43*h**3 + h**2 + 9684 wrt h.\nAnswer: 184*h**3 - 129*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13240323102 + 3?\nAnswer: 13240323110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 - 2*u**4 - 3*u**4 + (5*u**2 + u + 11*u**2 + 8*u**2)*(u**2 + 2 - 5*u**2 + 8*u**2) to q*u**2 + n*u + h*u**4 + y*u**3 + f and give h.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48996, -97988, -146980?\nAnswer: -195972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 7*i**2 - 7*i - 6. What is s(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 1. Let c = 2 + -4. What is the remainder when 18 is divided by g(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 2*n**3\/3 + 23*n**2 - 4*n + 181. Does 38 divide h(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 65264419.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 16. Suppose 0 = 5*c - 10 - q. Suppose 7*w - 2*w - 3*i = 493, -c*w + 5*i + 397 = 0. Calculate the greatest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/8 - 181*y**4\/8 + 3649*y**3\/8 - 24411*y**2\/8 + 32139*y\/4 - 7155 = 0. What is y?\nAnswer: 2, 3, 5, 12, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6 + 1) - 2 - 12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5047716 is divided by 106?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/2)\/(71*(-89)\/50552)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 29*f**2. Let m(q) = q**2 + 9*q + 20. Let x be m(-6). Let l(h) = -25*h**x + 11*h**2 + 13*h**2. What is i(l(d))?\nAnswer: 29*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 63. Suppose 4*q - 9*q = 635. Let a = f - q. What are the prime factors of a?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3564 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-190 - 27) + 2\/(-2). Let y = 240 + a. What is the lowest common multiple of 6 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) 1 (c) -3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 12*n**2 - 3*n - 10. Let x be t(11). What is the common denominator of ((-25)\/30)\/((-8)\/x) and -13\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4330 + 175*w - 2165 - 2165.\nAnswer: 175*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 - -0.3. Let z be (192 - 180) + 170\/(-14). What is the closest to d in 5, z, 2\/17?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-2 + 0 - (-3 - -3)). Suppose f = -3*d + 10 + 50. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(6*350\/(-63)*1\/4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 18*h + 8. What is the lowest common multiple of t(6) and 87?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 4*z + 53. Let f = z - -36. Suppose -4*h - 13 - 1 = -3*u, -2*h - 6 = -u. Sort 1, f, u in increasing order.\nAnswer: 1, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -54. What is the closest to 1 in z, 0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150261006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-63)*-1)\/((-15)\/(-35)). Let n = -17.1 + 17. Which is the smallest value? (a) 1\/3 (b) y (c) -6\/5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 - v**2 - 3*v - 4. Let g(u) = -11*u**3 - 3*u**2 - 8*u - 11. Calculate -8*a(z) + 3*g(z).\nAnswer: -z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -j, -6*x + 7*x - 4*j = 7. Calculate the remainder when -2*(-4 + -31) - 1*-3 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 41, -4\/3, -2\/171?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 12 = 7*b, -295*d - b = -296*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 420521 to the power of 1\/2, to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*(-3)\/(-10)*-2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 27*q**6\/19 + 2016*q**5\/95 + 2785*q**4\/38 + 1700*q**3\/19 + 764*q**2\/19 + 144*q\/19 - 1394. Find v such that z(v) = 0.\nAnswer: -9, -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100010 (base 2) to base 8\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 3*z**2 - 4*z + 3. Let l be x(-4). Let c = -59 - -61. Suppose 17 - 1 = 2*g + c*w, -g + 2*w = -20. Solve -q + 3*a = 11 + l, 3*q + g = 3*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 121 = 367. Let q = k - -88. Suppose -4*f + 9 = -7. What is the smallest common multiple of q and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8284*n + 8379*n + 2772 = 16747*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/1092 and 61\/53820.\nAnswer: 376740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-4)\/(-6)) + 34\/10. Is -1\/31 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 21*r**3 + 3*r + 11. Let t(d) = 10*d**3 + d + 5. What is -3*b(a) + 7*t(a)?\nAnswer: 7*a**3 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -52, -82, -112, -142?\n\"Answer: -30*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1001111?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.5 (b) -4\/5 (c) -1\/2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 5*t = 23. Let i = t - 23. Solve i*h + 16 = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20241286 rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -13, 1, 2\/17, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6192 and 10.\nAnswer: 30960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 6. Suppose 2*o = -m + 140, 3*m + 0*o - 436 = 2*o. Suppose -h*y + m = y. Calculate the highest common factor of 72 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.19.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 95*q**2 - 356*q - 349. Give t(91).\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 1:53 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284666329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43867, -44011, -44177, -44377, -44623, -44927, -45301?\nAnswer: -45757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 10 = 5*j. Solve -4*t + 5 = -j*m - 4, -3*m = -3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -79, -144, -231?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -5557, 0.4, 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*2\/27 + (-3451)\/9. Let p = 402 + h. Solve 0 = -p*n + 16*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1355 and -973605918.59.\nAnswer: -973604563.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254297910 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 141539238?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51790738?\nAnswer: 2, 17, 599, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69812687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 284 and 272607624?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 + 2*a**3 + 0*a**3 - 5 - 2*a in the form y*a + t + v*a**2 + d*a**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 790007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-10 - 15)\/5). Let p = 1.9 + -2. What is the third smallest value in i, 0, p, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 15) + 2 + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/3 - 37*u**3\/3 - 13*u**2 + 37*u\/3 + 38\/3.\nAnswer: (u - 38)*(u - 1)*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + (-4 - -1)\/((-20)\/(-60))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 plus 0.268954?\nAnswer: 49.268954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 0.57 (c) 2 (d) -3.3 (e) -2\/17 (f) 125\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -2 + -4 - (-10 + 0). Calculate the common denominator of u\/14 + 3 + 1 and 95\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from okkkkkooooookkkkokok.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**7\/42 + 2*i**6\/3 - 3*i**5\/20 - 29*i**4\/6 + 20*i**3\/3 + 227*i. Factor b(z).\nAnswer: z*(z - 1)**2*(z + 2)*(z + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 52*q + 4049. What are the prime factors of j(0)?\nAnswer: 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*s, -3*a - 3*s + 26 + 4 = 0. Solve 6 = -z - 3*j, 5*j + a = -z - 0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3))**(-4\/5)*n**(-1\/2)*n*n*n**6 assuming n is positive.\nAnswer: n**(209\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35*((-116)\/20 - -7). Suppose 84 = 2*h + h. Calculate the highest common factor of h and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2.9. Which is the closest to f? (a) -2\/9 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-30) - ((-10792)\/114)\/(-71)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j + 12*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 81, 10 in descending order.\nAnswer: 81, 10, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 103736150 to the power of 1\/2, to the nearest integer?\nAnswer: 10185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1412*k + 26674 = -87*k + 1499 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1749 = -5*f, -2*f + 233 = 2*j - 475. What is the third derivative of 60*p**6 - f*p**2 + 146*p**2 + 93*p**6 wrt p?\nAnswer: 18360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -22101?\nAnswer: -22110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 601174653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1 + 50*f**2 + 6*f**2 + 1 - 4*f + 24*f. Let n(i) = i**2. Let g(m) = -6*n(m) + p(m). Factor g(z).\nAnswer: 2*(5*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 150\/(-24) - 17\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -3\/3199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -28759 divided by -5755\nAnswer: 28759\/5755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2221 + 2216. Which is bigger: t or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 220651 - 220759.381. Let d = -107 - g. What is d rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/50462 and -103\/13662.\nAnswer: 14987214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 2 - (-490 + 507)) + -25\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -1\/4 (b) -4 (c) 4 (d) -6533 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from tztazaazaaznzzaaza.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1268013041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:44 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**2 + m. Let k be x(1). Let t be k\/21 - (-26)\/6. Suppose t*p = -p + 20. Solve -p*h + 0*h = 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijjjjijjj. Give prob of picking 1 i and 3 j.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3\/4 - 129*i**2\/2 + 5547*i - 159014 = 0.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 11*n - 6. What is s(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4267*a - 4270*a = 9, -2*a - 2*a = -4*g + 32 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4161 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*5 + sqrt(162))\/(sqrt(54)\/sqrt(9)*-6).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23212 - 1333?\nAnswer: 21213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76) - sqrt(209)\/(sqrt(11)*-1) - (sqrt(1539) + -1*sqrt(1539))*-3)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**4\/4 - l**3\/3 + l**2\/2 - 18*l - 3382. Let m = -1 - -1. Calculate a(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 12*r**2 + 13*r + 3. Let s be y(-13). Suppose 55 - 7 = 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: Let b = -40 + 48. Let a = b + -7.999992. Round a to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4898180\/73 bigger than 67097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p + 2*p - 4*p + (-2 - 2 + 3)*(p - 2 + 2) + 0*p + p + p + 6 - 6 + p + (5 - 4 + 1)*(-p + 0*p - p) + 2*p - 2*p - 2*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 743*b - 6.\nAnswer: 743*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -m - 21, 165411*m = -7*n + 165406*m + 49 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**5 + 10930*h**4 - 54560*h**3 + 76350*h**2 - 32715*h = 0. What is h?\nAnswer: 0, 1, 3, 2181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154 + 1695\/11. Let h = -9120 - -9122. Which is the closest to 4? (a) 1 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkkooq. Give prob of sequence kqo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -75025, -129627, -184229?\n\"Answer: -54602*g - 20423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -27. Let k = n - -47. Let d be (0\/k)\/(3 + -2). Which is smaller: d or -2\/55?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*d + 2*d**4 - 1 + 147*d - 136*d in the form w*d**2 + r*d + v*d**4 + g + i*d**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/17 - 10\/187. Factor a*x**2 + 8\/11 - 16\/11*x + 6\/11*x**3.\nAnswer: 2*(x - 1)*(x + 2)*(3*x - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 4*d**2 - 4*d - 1. Let b(z) = z + 0*z - 3*z + 6*z - 7. Let r be b(3). Determine v(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690104 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -5. Let r(v) = -7 - 10*v**2 + 9*v**2 + 9*v - 6. Let g be r(t). Solve 4*l = g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 25.1. Let k(h) = -h**3 + h**2 - 1. Let w be k(-1). Which is the second biggest value? (a) w (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, 1 o, and 1 h when four letters picked without replacement from {o: 1, f: 1, b: 1, k: 1, h: 1, x: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 6*r + 4. Let l be u(6). Let d = 10 - 14. Sort -2, l, d in increasing order.\nAnswer: d, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*w + 2 = 0, 0 = v + 4*v - 4*w + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 115, 116, 117, 118, 119, 120?\n\"Answer: d + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 - (-18)\/8. Let o(d) = -d**3 + 6*d**2 - d + 8. Let q be o(6). Suppose 0*r = q*r - 6. Solve -i*w - 1 = r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*g**4 + 0*g**2 + 0*g**2 + 3*g**2 - 8*g**2 - 16*g**4 + 45*g wrt g?\nAnswer: -1704*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - k - 2*k + 1 - 1 - k + 0*k + 0*k - 5*k + k + 5*k - 6*k + 3*k + k + (2 - 1 - 3)*(0 - k + 0) - k - 2*k + 4*k + 9 - 9 - 3*k - 3*k + 4 + 0 - 5.\nAnswer: -8*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(255\/(-25) + 10). Is 19\/178 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 20553381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-27) - (-1)\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 17*f**2 - 30 + 33 + 7*f + 2*f**2. Is g(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40820941 and 120751?\nAnswer: 7103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*b + 30 = 0, -5*b - 150 + 66 = -4*f. Calculate the highest common divisor of 6169 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -636 + 14630\/23. Let q = 0.2 - 0.18. Let l = -16163 - -16162. Which is the closest to q? (a) 5 (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -198*d**2 - 2553*d + 273 = 0. What is d?\nAnswer: -13, 7\/66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**4)\/b)**(-36)*b\/(b*(b*b\/b**(1\/49))\/b)*b*b*b**(-1\/4)*b assuming b is positive.\nAnswer: b**(21515\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100028 or -100025?\nAnswer: -100028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2346 divided by 6?\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.993 - -0.007. Let h = x + -73. Let r = h - -51.5. What is the smallest value in 4, 1, -0.11, r?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3605, 14472, 32583, 57938?\nAnswer: 90537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*j - 13 = 0, -18 = -2*b + 6*j - 4*j. Suppose -z + 6 = -4*s, 3*z = z + b*s + 9. What is the third biggest value in z, 3, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -12*d**3 + 3*d**2 + 2*d + 12. Suppose -2*k = 0, o + 8 = -4*k + 5. List the prime factors of p(o).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.012 + 4.712. Which is greater: -0.5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -179*g**2. Let m(w) = 24*w**2. Give m(h(t)).\nAnswer: 768984*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -236.311 to zero decimal places.\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -466422400*c + 426067361 wrt c?\nAnswer: -466422400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3345*q - 3. Let b(o) = 2*o. Determine b(y(a)).\nAnswer: 6690*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/12)\/(18\/66)*(-3)\/(-1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9659\/39 + (-12)\/(-9).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5540 - -5546. What is the third smallest value in 1, 0.02, -0.4, -2, w?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1963)*72*1508\/8352?\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000176399115 to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 5, 2*d + 5 = -0*i + 5*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k*k\/(k**(-1\/5)*k)))\/k*k**(5\/3)\/k)\/(k\/k**(1\/4))**(-28) assuming k is positive.\nAnswer: k**(322\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11999 and 7098?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4270143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*o + 4 + 57*o + 3.\nAnswer: o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 8*w - 139 + 539, 114 = -v - 2*w + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 32?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.04 (b) -2\/11 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**3\/3 - 7*w. Let p(s) be the first derivative of 2*s**2 - 208. Determine 3*p(x) + 5*y(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*r + 145*r - 1536 = 3092 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -201 or -203?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*g + 1 = 2*b, 0 = -2*b - 3*g + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005516657 rounded to seven decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 14. Let q be (-7 - 1)\/((-30)\/105*7). Solve -q*i - i = h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o. Let t(s) be the first derivative of 1397*s**2 - 9885. Give t(n(d)).\nAnswer: 8382*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -818595.8721401?\nAnswer: 818595.8721401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 - 1) + 8*3\/6. Let x(g) = 15*g - 1 - 613*g**2 + 211*g**2 + 199*g**2 + 202*g**2. Calculate x(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 + 3*v**2 - 3*v**2 - 3*v**2. Let c(i) = -4*i**2. Let s(u) = -u**2. Let r(h) = -c(h) + 2*s(h). Calculate o(r(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 greater than or equal to -778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q**2 + 1. Let p = -1069 - -1846. Suppose 6*c - 27*c + p = 0. Calculate the remainder when c is divided by a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frzrsrhgrssrr. Give prob of sequence hfsg.\nAnswer: 1\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -0.5. Let j = 0.43 - 0.03. Let v be (-20)\/((-20)\/5) + -8. What is the closest to v in d, 5, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/30 + g**2. Let a(f) be the first derivative of -1\/2*f**2 + 1 + 0*f. What is a(z(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100100100 (base 2) to base 11.\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11110110101110 (base 2) to base 7\nAnswer: 64015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.29 in -3, 1, 3, 3\/8, -2\/5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9067881, 9067880, 9067879, 9067878, 9067877?\nAnswer: 9067876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 + 2 - (116 + -134) - (-2 + 11)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*v - 516 = -61*v. List the prime factors of v.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x + 176. Suppose 2 = 5*n + 7. Let o = 14 - n. What is the remainder when x is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30313102233 + -10?\nAnswer: 30313102223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1564 (base 7) to base 15.\nAnswer: 2c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107 - -251. What is the highest common factor of q and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/693238 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/23 (b) 6 (c) 0.4 (d) 0.3 (e) -0.09 (f) -109\/63 (g) 48\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4987, 9976, 14963, 19948, 24931, 29912?\nAnswer: 34891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101532467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -17, 1 in decreasing order.\nAnswer: 5, 1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402.4824l to millilitres.\nAnswer: 402482.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-3 + -9 - (-40 - -21)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*o**2 + 160*o**3 - 50*o**3 - 6 - 59*o**3 - 53*o**3 + 0.\nAnswer: -2*o**3 - 565*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 - j**2 + j**2 + (1 + 1 - 4)*(3*j**3 - j**3 + 2*j**3) + (135*j**2 + 38*j**2 + 69*j**2)*(-j - j + 0*j).\nAnswer: -494*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.73 - 0.4.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 12622700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 2*j**2 - 3*j - 1. Determine a(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -6, 2\/5, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f + 5\/4*f**4 + 5*f**2 + 0 + 5*f**3.\nAnswer: 5*f**2*(f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 16 = -10*m. Solve 3*z + m = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 8*g - 22. Which is the second smallest value? (a) g (b) -2\/11 (c) 4\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4634 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/10)\/((-6)\/(-5)). Let b be 9\/15*(-4)\/(-4). Let z be (-2 + (-17)\/(-8))\/(-1). What is the third smallest value in a, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (55055\/(-14) + -1)*73\/20. Let x = y + 14355. What is the common denominator of 11\/12 and x?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 46840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((9\/2)\/(-3))\/((-676)\/3052816)?\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4457 rounded to 2 dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1626 - -1628. Solve 3*p - r*h = -25, 40 = -17*p + 12*p + 3*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -112 - -2a5?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*h + 19 = -2, -2*i = -3*h - 29. Suppose 2*j - 2*m + 4 = 2, -i = -3*j - m. Which is the closest to 0.4? (a) -1 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -175, -433, -881, -1531, -2395?\n\"Answer: -2*m**3 - 83*m**2 + 5*m - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 - ((44 - 58) + 43) - 122.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 4. What is the smallest common multiple of 47\/141*(-5 - -1) + (-80)\/(-6) and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 3. Let o be z(5). Suppose -11 = o*c - 17. Suppose 2*y - c*b - 7 = 0, -4*b - 8 = -5*y + 6. Solve -3*f - y*f = 4*l, -5*l = 2*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -7. Suppose -5*r + 30 = 5*x, 24 = m*r + 4*x + x. Let d = -4 + r. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -222, -218, -212?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-36))\/(13\/13)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 1185\/75)\/((-2)\/(-30))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001913292 to seven decimal places.\nAnswer: -0.0000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 take away 856309?\nAnswer: -856310.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3426 + -3426.0005896. What is o rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/(-16) + 1)*(-548)\/9590?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -191.8 + 192. What is the nearest to u in -0.5, -0.7, -0.3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05657 - -0.9\nAnswer: 0.84343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x + 1. Let f be 4*(10\/(-8) - -2). Let g = f + -2. What are the prime factors of c(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10*(-20885)\/5*(-2)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -26, -56, -106, -182, -290?\n\"Answer: -o**3 - o**2 - 6*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -52*z**2 - 5*z + 44. Let p(y) = 53*y**2 + 6*y - 59. What is -4*l(g) - 3*p(g)?\nAnswer: 49*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-27)*(-7)\/((-168)\/36)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 - 756*u + 2277*u + 54*u**4 - 752*u - 763*u as x*u**4 + a*u**3 + d*u + v*u**2 + k and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -18*k + 4. What is a(-3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267279, 267505, 267877, 268389, 269035, 269809, 270705?\nAnswer: 271717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**4 - q**2 - q. Let m(y) = 9*y**4 - 6*y**2 - 6*y - 4. Suppose -3*n + 22*n - 114 = 0. Let l(d) = n*x(d) - m(d). Differentiate l(b) wrt b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5797*o + 5559*o - 13813*o + 3869*o - 26803*o in the form h*o + q and give h.\nAnswer: -36985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*o, 2*c - o + 4*o = 30. Let a(j) = 2*j**2 + 12*j + 3. Calculate the remainder when c is divided by a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1146*a + 4 - 5 + 5 + 1151*a + a**3 - 6*a**2. Determine x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 7.3 (c) -64 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijiddhhidjjjdjhdhd. What is prob of picking 2 d and 2 h?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227874 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - (0 + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -748.02116 - -748. What is z rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x + x - 2*x**3 + 6*x - 1 in the form s + k*x + m*x**3 + h*x**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122347?\nAnswer: 122347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -297*d + 22. Let a(y) = 66*y - 5. Let c be -3*(-12)\/(-18) + -20. Let z(q) = c*a(q) - 5*s(q). Let v(f) = f. Calculate z(v(w)).\nAnswer: 33*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from eeheeheheeeheheeee?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-5) + (1304\/20 - 2). Let l = g + -61. Suppose 0 = j - l*j + 3*n - 1, -3*n - 4 = -2*j. Which is greater: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7 + u - 8.\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50679640, 101359276, 152038912, 202718548, 253398184, 304077820?\n\"Answer: 50679636*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38199918 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -646*o**3\/3 - 241*o**2\/2 + o - 338. Find the second derivative of l(w) wrt w.\nAnswer: -1292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2856 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 10*g - 21. Determine k(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -5*p**4\/12 - p**2\/2 + 1. Let j(o) be the second derivative of x(o). Calculate the remainder when 29 is divided by j(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/2 - (-1 + -2 + 4). Suppose -4*q - 214 = 5*s - 726, j = -5*q + 15. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y + 2. Let k be g(0). Let b(p) be the third derivative of 1\/2*p**3 - p**k + 0 + 0*p - 1\/24*p**4. What is the first derivative of b(a) wrt a?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 times -38?\nAnswer: 9348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1790 is divided by 384.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {j: 2, r: 5, f: 3, w: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 55. Suppose l = v + 4*v - 2675. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 24 + 15. Suppose -c*l - 56 = -10*l. Let o be 9 + (-14 + l)*(-2)\/(-3). What is the greatest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1787a86 (base 11) in base 8?\nAnswer: 13427353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14102 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.09408.\nAnswer: 0.28224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -14*d + 5. Let n(u) = -2*u**2 + 3*u + 4. Let k be n(3). What is the remainder when h(k) is divided by (2\/6)\/(19\/(-23826)*-22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-4))\/((-5)\/10). Let l(w) = w**2 + 4*w - a*w + 0*w. Determine l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118 + -51 + (-33 - -23)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2 - 233*z - 975. Determine u(47).\nAnswer: -881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14467 and 24263505?\nAnswer: 897749685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nql when three letters picked without replacement from nnlnnnnqqonnoiqllqn.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 6237?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + (1 + -5 + sqrt(325) + -2 + sqrt(325))*5))**2 + 5.\nAnswer: -85000*sqrt(13) + 841405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(0 - 1\/4). Let w = o + 21. What is the derivative of -3 + 89*y - 89*y - w - 8*y**3 wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 316?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018 is divided by 368.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -724 - -1188. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*((-9)\/(-15) - -1). Let z = i + 20. Let h = z + -15. Calculate the highest common divisor of 78 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + -12. Let h be 7\/(a\/(-60))*2\/4. Solve -h*w = -8*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 7. Let a be -6 - -9 - r\/1. Is 4 a factor of -5*(-3 + a) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 498 - 883. Let y = g + 385.4. Let u = -2 + 4. Put -0.2, 6, y, u in descending order.\nAnswer: 6, u, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-150)\/5)\/3 + 3 + 8. Let i = 1 - 2. Which is the nearest to u? (a) i (b) 0.1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y - 60. Let s = y + 3. Calculate the remainder when 52 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78591791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**2 + 25*u - 57. What is the tens digit of f(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 6*n**2 - n. What is the tens digit of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, r: 3, t: 4, d: 9}. What is prob of picking 1 d and 1 y?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 125709 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + r**2 - r. Let t be b(0). Suppose 4*j - j - 21 = -5*y, 4*j + 3*y = 17. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47937\/4460 + 2\/1115. Suppose 0 = 3*f + 3*j + 4758, -6340 = 4*f - 0*f + 3*j. Let g = f - -4676\/3. Calculate the common denominator of g and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1245087 = 19*f - 1151300 - 38900. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10452 + -10451.7. Sort -3\/2, -3\/7, d, 0.088, 3 in descending order.\nAnswer: 3, d, 0.088, -3\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10 = -5. Let k(c) = -3*c + y*c + 0*c. Let s(z) = 9*z - 4. Let l(w) = 10*w - 5. Let r(n) = 4*l(n) - 5*s(n). Give k(r(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 6. Let h = y - -8. Suppose -3*f - f + 3*q = 0, h*q = -4*f + 28. Solve -f*u + 0 = -15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1267 - 1271. Let g(d) be the third derivative of d**4\/12 - 66*d**2. Let h(x) = 2*x - 1. Calculate l*h(a) + 5*g(a).\nAnswer: 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**8\/12600 + q**7\/6300 - q**6\/2700 - q**5\/900 + 2*q**3 - 2*q**2 - 6. Let x(y) be the first derivative of r(y). Factor x(s).\nAnswer: 2*s*(s - 1)*(s + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 2*w + 0*w)*(289*w - 1139*w + 628*w - 809*w - 1191*w) to the form d + o*w**2 + h*w and give o.\nAnswer: -4444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + 5 + sqrt(176) + sqrt(176)*-2 + sqrt(176)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835878393 is divided by 8221.\nAnswer: 8218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**5 - 1648*w**4 + 4847*w**3 - 1122*w**2 - 8*w - 90?\nAnswer: -120*w**2 - 39552*w + 29082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - b = -3 - 2, x + 4*b = 10. Let a = 12 + -7. What is the nearest to 3 in a, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 5*z**3 + 0*z**2 + 9*z**3 - z - 2*z**2 to p*z + x + o*z**3 + h*z**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95960, 191919, 287876, 383831?\nAnswer: 479784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 3) to base 10.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11272\/664*-1 + 17\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 11847*g - 130198. What is j(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*90\/100\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 + 4*m + 4. Let s(a) = 12*a**2 - 17*a - 17. Calculate 9*f(z) + 2*s(z).\nAnswer: -3*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 9) + (-4)\/(-2). Is o >= 1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) -0.1 (c) 1681\/6 (d) 1 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-3))\/(-28 - -33 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -611.4 + 612.4. Let j = -403\/8 + 101\/2. What is the second smallest value in z, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*m = 2*m + 92, -h + 3*m = 11. Suppose -2*g - 3 = -49. Let i = g + h. Solve 4*n - 32 = -4*f, -2*f = i*n - 0*n - 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 23*d - 2211. Let b be a(97). Calculate the greatest common factor of 445 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 660 = -6*w. Let i = -162 - -182. What is the highest common factor of w and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 p when three letters picked without replacement from vfbpwvcwb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - f = -6*f + 10*f - 3, -3*f = -9*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + 41*y**2 + 2018*y - 41943. Give d(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3441*i**3 + 111 + 106 - 217.\nAnswer: -3441*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 397583 - -8325.\nAnswer: 405908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 + -82. Let b be 0 - 23\/o - 3\/(-18). Calculate the greatest common divisor of b and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 105, 107, 109, 111, 113?\n\"Answer: 2*s + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (1 + (-2)\/3). Let k be (-100)\/(-3432)*8 + (-2)\/39. Let w = -4.01 + 0.01. Sort k, w, q in descending order.\nAnswer: k, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**4*h**3 - 3563499*b**4*h**2 + 21879*b**2*h**3 wrt b.\nAnswer: -24*b*h**3 - 85523976*b*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10680052 to the power of 1\/2, to the nearest integer?\nAnswer: 3268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41923 is divided by 223?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 8:37 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 11. Let f be v(13). Is f - (2 + 2 + -117) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 19 = 4*k, -4*k + 3 - 2 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 15 = 3*k, 0 = -2*g + k - 23 + 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 take away 10035.1608?\nAnswer: -10033.5608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -3. Let r = 2.1 + -1.8. Let f = r + -0.5. Sort -2, w, f in descending order.\nAnswer: w, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39077316 to the nearest ten thousand.\nAnswer: -39080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -2*c. Suppose -k - 17 = -3*z, -2*k = z - 1 + 7. Find the second derivative of 0*p**z + c*p - p**4 - p wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76056044 divided by 29908\nAnswer: -2543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*f - 17. Suppose -f*y = 2*y - 85. Let w(l) = l**3 - 16*l**2 - 3*l - 17. Is w(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 369, 374, 379, 384, 389?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 88\/(-20) - -2 - (-6)\/15. Let s be (-2)\/5 - b\/5. Solve s*x = x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19770 > 19770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) -0.3 (c) -0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 + 5 - 5 + (-2*g**2 - 2*g**2 - 2*g**2)*(-4*g - 3*g**2 + 4*g).\nAnswer: 19*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 33*t**2 - 17*t**2 - 2*t - 4 - 15*t**2. Let k be n(-6). Suppose -2*p + 3*b = -19, p - 3 - 3 = 5*b. What is the highest common divisor of p and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*l = -c, 24 = 3*c + 3*l. Put c, -72, -2\/7 in descending order.\nAnswer: c, -2\/7, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -42. Let q = z + -16. Let m(o) = -o**2 + 6. What are the prime factors of m(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48*-4.5.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4025 * 0.114\nAnswer: 458.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 - 95. Suppose 832 = -2*j + c*j. Is 26 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (5 + -46 - -25) - 23\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178 is divided by 165.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 216*k**2 + 1026*k - 7985. Determine r(-211).\nAnswer: -1866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 79324?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(432))*4*-5 + ((sqrt(432) - (sqrt(432) + 1 + sqrt(432) + sqrt(432))) + -2 - (3 + sqrt(432) + 2)) + -4)**2.\nAnswer: 39744*sqrt(3) + 233712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 2*i**3\/3 - 3*i**2 - 8*i. Let p be v(7). Find the first derivative of -36 + p - 2*n + 19 wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75484654961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**1*f*f*f)\/f)**47\/(f**(2\/15)*f*f*f**(-2)))**38 assuming f is positive.\nAnswer: f**(80294\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (92\/8 - 3)*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**4 + 6*a**2 - 416*a.\nAnswer: 84*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufzzuuhuzuquzquuuz. Give prob of sequence qqhf.\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 358?\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1536) - 2*sqrt(1536))*6 + sqrt(1536))\/(2*-1*sqrt(48)) + -5.\nAnswer: -5 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 22*r - 17*r - 219 = -3*q, -145 = 2*q - 3*r for q.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*9\/99*(-60)\/(-10)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7221243 is divided by 138870.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 16*l - 2. Determine d(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432*i = -415*i - 272. What is the remainder when 103 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppsfpsmpmsps. Give prob of sequence spp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66627496 + 24468504. What is u rounded to the nearest 1000000?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 456012\/4 + (-5 - -2). Suppose 0*w + d = 3*w. What is w rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwrr when four letters picked without replacement from wrwwwrwwrwwrwwrw?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2716538918 to the nearest integer?\nAnswer: 52120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2973*q + 71811 - 71811.\nAnswer: -2973*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 82 = 3*m, -5*h + 4*m + 82 + 36 = 0. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v**2 - 15*v - 6 + 15 + v**3 + 7*v**2. Let w = 1335 - 1351. List the prime factors of d(w).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1*7 + (-1 - (2 + 9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-17 + 16) - (0 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/43, 247, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 74. Solve 5*n + v = -7, -g + 5*n = -18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 588085693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 23*s - 24*s. Let w be (-23)\/s + 2\/(-7). What is the first derivative of -44*j - 6 + 44*j + 13*j**w wrt j?\nAnswer: 39*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 49. Let l be (-2)\/(-4)*1*0. Suppose l*w = -4*w - 2*w. What are the prime factors of q(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 28.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 11 - 18 = -3*l, 0 = -4*l - 2*f + 36. Solve 3*x + l - 1 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.4 + -4. Let i(s) = s**3 + 13*s**2 + 13*s + 8. Let j be i(-12). What is the biggest value in d, j, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-160)\/(-40))\/(6\/114729 - 0).\nAnswer: 2, 167, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10842 + -1?\nAnswer: -10843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76270 is divided by 7752.\nAnswer: 6502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 625*v**5 + 62375*v**4 - 538200*v**3 + 1632960*v**2 - 2090880*v + 933120 = 0. What is v?\nAnswer: -108, 1, 12\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 5) to base 12\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4 - 28*z + 27*z + 7 + 1. Let w = 24 - 15. Let r be m(w). Solve -5*u = -5, -3*x - r*u - 17 = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 4. Let r = i - 1. Suppose 117 = r*g + 9. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27776 - 92396.\nAnswer: -92396.27776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185802 divided by 3.\nAnswer: 61934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 - 15*s**2 + 33*s**2 + 2*s + 4*s**2 + 0*s**2 in the form z*s + h*s**2 + u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32108 + 32108 - 560*q to the form f*q + d and give f.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.509 + -0.209. Let t = -107 + 320\/3. Which is the closest to 3\/2? (a) t (b) 3\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 457, 473, 489, 505?\n\"Answer: 16*z + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96.578 + -97. Let a = -0.442 - h. What is the biggest value in 1\/9, a, -1\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/48 and 85\/44149692.\nAnswer: 176598768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x**4 - 13\/4*x**3 + 13\/4*x**2 + 0 - 1\/2*x = 0 for x.\nAnswer: -1, 0, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 4)*((-15)\/90)\/((-3)\/(-6)). Solve 5*c + h*y = 5*y + 15, 3*c - 2 = -4*y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -0.04\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 15308*u**2 - 66957*u**2.\nAnswer: -51649*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3096.1 rounded to the nearest 10?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 3*i**2 + 3*i - 1. Let s be j(-4). Let v(w) = 6*w**3 + w**2 - 5*w + 4. Let l be v(s). Round l to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3 + 17582*t**2 - 5372642*t + 403569778 = 0. Calculate t.\nAnswer: -9089, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n*q**5 + 71*n*q**3 - 52*n*q**2 + 20*n*q + 12*n + 16*q**3 wrt q.\nAnswer: 120*n*q**2 + 426*n + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 s, and 1 k when three letters picked without replacement from sssksslsssvssss?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153.59 - 153.39. Which is the closest to q? (a) 1 (b) 3 (c) 20 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1402 = 8*p - 6*p. List the prime factors of p.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -0.01?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -35141.\nAnswer: -35136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-9)\/(-18)*1\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586515?\nAnswer: 5, 7, 45329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026907 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 14*m**2 - 143*m + 999. Give l(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 1\/300*f**6 + 5*f**2 + 0*f**3 + 0 + 1\/75*f**5 + 0*f + 1\/60*f**4. Solve d(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458232?\nAnswer: 2, 3, 61, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4\/11 - 2\/11*c**2 + 6\/11*c = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 + 92. Let w be (-6)\/(-4) + c\/(32\/4). Find the third derivative of -10*x**2 + 9*x**4 + 4*x**w - 6*x**2 wrt x.\nAnswer: 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 2*r**2 + r**2)*(8*r**3 - 4*r**3 + 2*r**3) + 0*r**3 - 2*r**5 + 0*r**3 + (-4*r + r**3 + 4*r)*(-2*r**2 + 2 - 2).\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 9*i**2 - 12*i + 11. Let x be u(-7). Let s be x*(6\/8 - 2\/24). Which is smaller: -55 or s?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4805814.939 to the nearest 100000.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5552\/5 < 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1125*i**2. Let w(a) = 11*a**2. Give w(m(u)).\nAnswer: 13921875*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*h - 135*h = 8170 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111230674*d - 17715551.\nAnswer: 111230674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*g**3*u*y**2 - 2*g**3*y**2 + 3*g**3*y - 49*g**2 - 15*g*u**2 - u wrt u.\nAnswer: 9*g**3*y**2 - 30*g*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 812 - 816. Sort z, -3, -50, -1.\nAnswer: -50, z, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62 * -6.\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 8:37 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 5*k**2 - 4*k - 9. Suppose 2*s - s - 6 = -q, 3*s = -5*q + 18. Let j be f(s). Put -1, -9, j in increasing order.\nAnswer: -9, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-46)*(-25)\/(-600)*12?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 781202861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -990497 divided by 1?\nAnswer: -990497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (508*x**2 - 873*x**2 - 1047*x**2)*(-4*x - 2*x**2 + 4*x).\nAnswer: 2824*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23700 and 83898.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 50, 199, 448, 797, 1246, 1795?\n\"Answer: 50*a**2 - a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*z + 3 - 3 + 177*z)*(-1 + 6 - 3)*(5*z - 3*z + 0*z + 3*z - z + 0*z + (-z + 5*z + 4*z)*(3 + 0 - 5)).\nAnswer: -3840*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 732 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 4. Let s be y(-4). Suppose s*z + 124 = 4*z. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -291 - -411. Suppose y + 180 = 5*a. Calculate the common denominator of (-2)\/8 + (-687)\/a and 81\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i**2 - 5*i + 14. Let k(n) = 2*n - 1. Let a be k(3). Let d(r) = 4*r**2 + 2*r - 7. Give a*d(g) + 2*c(g).\nAnswer: 2*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -336516, 0, -4, 4, 2.\nAnswer: -336516, -11, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1009662 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 27 + 27.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 9. What is the biggest value in 1\/4, 3, y, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 5:17 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 4\/9, -0.1, 223?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125737463*q**3*u - 85*q**2*u + 402*q**2 + 3*q*u + 5*q + u wrt q?\nAnswer: -754424778*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 17*p**2 + 4*p + 25. Let d be x(-17). Calculate the common denominator of 1 + (-2 - d\/16) and 11\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 5*b**2 - 6*b - 14. Let q be k(6). What are the prime factors of (-256)\/q + 14\/(-49)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 2*r + 4. Let c(j) = j**3 + j**2 - j - 2. Let y be c(0). Let f be d(y). Solve -f*p = -8 + 28 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 933, 1865, 2797?\n\"Answer: 932*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, d: 6}. Give prob of picking 3 d.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-245)\/(-50) + (-111)\/(-510)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336160 (base 7) in base 10?\nAnswer: 177422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 7*o + 6. Let h(r) = -r**2 - 2*r - 3. Let x(z) = z - 3. Let s be x(0). Let u be h(s). Give k(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 978701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 3b84?\nAnswer: -3b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 3*d + 3*d)*(692*d + 15090*d + 6741*d).\nAnswer: 45046*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*m - 3150 = -108*m - 187*m + 226*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*i + i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.394248 to 3 decimal places.\nAnswer: -2.394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9914 - 1.\nAnswer: -9915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-22))\/(5\/(-85))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(75) - (sqrt(75) - (sqrt(75) + -3 + -1 + sqrt(75))))*5 + 3)**2.\nAnswer: -2300*sqrt(3) + 8029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) 1582 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -34*l - 728. Give g(-45).\nAnswer: 802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800 is divided by 101.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24980, 49929, 74876, 99821, 124764, 149705, 174644?\nAnswer: 199581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095333 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 1. Let q = 102 - w. Suppose 0 = -2964*d + 3018*d - 972. Calculate the greatest common factor of q and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 38 - 873*m**3 + 10*m + 26*m**2 + 25*m**2 + 875*m**3. List the prime factors of l(-25).\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 9\/(-2))*(3 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16436.283 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314 + 70 = 6*g. Let q be (g\/(16\/(-4)))\/(-2). Suppose -11*u + q = -7*u. Solve 4*i + 17 = -3*x, -5*x = -4*i + 9 - u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 6 + 22 - 69*w to the form o + p*w and give p.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = 2*y - 410*q - 130 - 179, -3*y - 4*q - 19 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 - l. Let c be s(-1). Suppose 3*n + 5 = 4*n. Is (-20)\/(-3)*c\/n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 17. Suppose -5*k + 8 = q - 2, -2 = 3*k - q. Let d = k + l. What is the greatest common factor of d and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -7553 (b) 3\/2 (c) -18 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*2\/(-3)*1. Let y(s) = -s**2 + 9*s - 8. Let d be y(6). Calculate the highest common factor of p and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 33668*y + 3*y**3 - 33668*y - y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5\/5 - 4806*k**4\/5 + 2785988*k**3\/5 + 122869656*k**2\/5 - 256844848*k\/5 = 0.\nAnswer: -43, 0, 2, 1222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8587898, 8587952, 8588042, 8588168, 8588330?\nAnswer: 8588528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*o + o, 2*q + o = 7. Suppose q*g - 2*g - 2 = 0. Suppose -2*a = -a - j + 1, -4*a + 21 = j. Solve 2 = -g*m - a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = 3*a - 18, -3*a = -5*b - 18. Suppose -3*l = -a*l - 3*i + 27, -3*l + 2*i + 2 = 0. Solve -w + l = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 1050*j**2 - 2097*j + 1048.\nAnswer: -(j - 1048)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*v - 10, -3*u - 2*u = 10. Let p(i) = -205*i - 10. Let l be p(v). What is l rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62962 + 29097 - 18812 = 2053*z - 8873 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8302455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/9200 and -85\/2024?\nAnswer: 101200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*g*u + 14*d*g - 4*d*u**2 - 6475*g*u**2 - 45182*g*u - 2*u**2 wrt u.\nAnswer: -8*d - 12950*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 12716 - 19860 = 0. Let v = 5644 + n. Round v to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131.4 - 19.6. Let m = f + 66. Let u = 85.0000083 + m. Round u to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.03 - 1.03. Let d = t - 1.06. Let p = d + 0.0577. What is p rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, l: 9}. Give prob of sequence lill.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(77\/(-168))\/11*-4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 132*n**3 + 30*n**3 - n**4 + 100*n**3 + 388*n**2 to the form k + w*n + l*n**3 + v*n**4 + z*n**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 45 = -5*w. Let k = w + 9. Which is the closest to 0? (a) 2 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*f**2 - 14*f**2 - f - 18*f**2 + 6 + 2*f**3 in the form i*f**2 + n + c*f**3 + z*f and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 4*f**2 + f - 1. Let k be p(3). Let w = -7 + k. What is the second derivative of n + 2*n - n**w - n**4 wrt n?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccs when four letters picked without replacement from csccss.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 11 + -2 + -7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**2 - 4*f + 4. Let r be u(2). Let j(c) = -5*c + 11. Let i be j(7). Is i != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 4*w + 3. Let h be s(0). Suppose -2*m + 356 = h*t, -6*m - 5*t = -3*m - 535. What is the greatest common factor of 140 and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttqcc. What is prob of picking 1 t and 1 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + b + 1. Let a(v) = v**3 + 7*v**2 - 14*v - 18. Let r(z) = 5*a(z) + 30*x(z). Factor r(n).\nAnswer: 5*(n - 3)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36, 142, 296, 480, 676, 866, 1032, 1156?\n\"Answer: -3*t**3 + 42*t**2 + t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(288) - (sqrt(288) + 3*(-1 + sqrt(288)))) + 5 + 4*sqrt(8))**2*2)*-3.\nAnswer: -9792 + 2688*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 30 = 9*d. Suppose t - 2*w = 80, -330 = -d*t + w - 5*w. Let h = t + -20. What is the highest common divisor of 20 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(7) - -2*sqrt(7)) + -3)*-5.\nAnswer: -15*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3 - 3. Let y be (-304)\/52 + n\/(-13). Let t be (10 + y)*1\/4. Solve 0 = -o - t - 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.966 and 18\/29189 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2920 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1335176034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 360.575 and -45.\nAnswer: 315.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 - 19*g - 37. Let t(h) = 3*h**2 - 23*h - 37. Give 5*t(a) - 6*w(a).\nAnswer: -3*a**2 - a + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5615 is divided by 5603.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:53 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -304 + 548. Suppose -3*x - 557 = f. Calculate the common denominator of 1 + x\/60 + -2 and 105\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 13*l**2 + 13*l + 6. Let f be s(-12). Let p(h) = -h**3 - 6*h**2 + 3*h + 8. Determine p(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 508 - -24?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/4280 and -35\/1712?\nAnswer: 8560","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -4\/449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40435201?\nAnswer: 40435201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 34*t**3 - 74*t**2 - 38*t.\nAnswer: 2*t*(t - 19)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j - 2. Let a = -35 - -34. Let d(o) = o. Suppose -5 = 2*f - 3*f. What is a*i(u) + f*d(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79568 = -179*q + 86728 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -44525927 > -44525914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))**(-23)\/(i\/(i*i**(-3\/2)*i)*i*i\/(i**(-4\/5)*i*i)) assuming i is positive.\nAnswer: i**(-473\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3. Let j(d) = -d - 9. Let f(o) = -11*b(o) - 4*j(o). Let v = -23 + 14. Let n = v + 7. What is f(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/8 - 4\/(-16). Let q be m\/(-8) - (-4)\/(-16). Suppose 2*c = 21*d + 339, 0 = -20*d + 22*d + 3*c - 6. Sort q, d, 3 in descending order.\nAnswer: 3, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 - 51*c**3 + 50*c**3 + 4*c**2 - 3*c + 0*c in the form y*c + i*c**2 + t + j*c**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 913092 to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/6)\/((-1)\/(-4)). Let y = r - -22. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*b**3 + 127*b**3 - 381*b**3 + 138*b**3.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -640 - -909. Let j = -4 + s. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -247074 + -4?\nAnswer: -247078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - -30432?\nAnswer: 30344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/11 - 35731016*b - 1755470068539352.\nAnswer: -2*(b + 98260294)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769979183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) -0.5 (c) 1\/3 (d) 507762 (e) -0.1 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 10:58 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - y. Let t(w) = -w. Let r(d) = -3*j(d) + 3*t(d). Let x(f) = 3*f**2. Give x(r(p)).\nAnswer: 243*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-44 + -79 + 70)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22764811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.4 (c) -6 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -4, 0 in ascending order.\nAnswer: -42, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -342\/11*i + 8\/11*i**4 - 72\/11*i**2 + 0 + 38\/11*i**3 = 0. Calculate i.\nAnswer: -19\/4, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 3, -6 in descending order.\nAnswer: 4, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36978.\nAnswer: 2, 3, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2415 - 2414. Let k be 2\/8 - (-1)\/(-20). Let y = 0.5 + -0.2. What is the second smallest value in y, j, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1389 + -631. Is -2020 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342090 rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, u: 5, d: 4}. Give prob of sequence udau.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 10163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*x - 65. Let p be (x\/(-26))\/(1\/(-2)). Suppose -p*t + 1 = -9. Solve -t*f + 10 = 3*z, 5*z = -4*f + 12 + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4320211 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5677 - 85121\/15. Let x = 8\/5 - g. Is 0.4 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 4*y + 7. Let s be v(-5). Let n = -9 + s. Suppose 3*c = u + 1335, 2*c + 6*u - n*u - 890 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 838 and 19458779?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -24. List the prime factors of 4*o\/24 + 192\/2.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174126 is divided by 6681?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 328*a**2 - 2284*a - 12756. Determine w(-321).\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p + 22 = -10 + 32 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 2 + 315426*a - 315426*a + 2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 829344504*j**2 - 487609038*j.\nAnswer: 1658689008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 636?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40639631393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -389 + 391. What is the greatest common factor of 22 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-4)*(4 + 16\/(-3)). Let a be (-110)\/(-6) + 1\/(-3). Let f be w\/a - (-4)\/3. What is the smallest value in 4, -0.2, 0, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 7*z**2 - z + 5. Let y be p(7). Let b be (4\/(-10))\/((-24)\/(-1590))*y. Let a = b + -53. Solve q - 2*q - 4 = a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. Suppose 3*c = 6*c + 5*q - 97, -3*c + 57 = -3*q. Suppose x - c = -d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.169684 millennia in decades?\nAnswer: 416.9684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 960.5665 centuries to months.\nAnswer: 1152679.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699 - 436 = -25*y - 285. Solve y*d + 4 - 140 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000637 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1111 and 14443.\nAnswer: 14443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8730 is divided by 871.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:09 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 10*n**2 + n - 7. Let z be b(10). List the prime factors of ((-444)\/(-16) + z)\/(3\/16).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4653\/6)\/11*(-3)\/(-9)*12\/(-6)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*z - 35, 0 = 4*g + 3*z - z - 10. Let y = g - 2. Solve 8 = -y*t - 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*t + 3*r, 0 = -6*t + 5*r + 11 - 10. Does 6226 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzfz when four letters picked without replacement from gggfgggzffgfzg?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782509?\nAnswer: 7, 13, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 - 2. Let o be 7 + (312\/(-28) - -4). Let k be 140\/(-225) - (-2)\/5. Which is the third biggest value? (a) y (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2\/4 + 5*t\/4 - 3\/2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 61, 148, 293, 496, 757?\n\"Answer: 29*u**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 65*r**2. Let g(c) = 3*c + c - 4*c - 57*c**2 + 56*c**2. Calculate p(g(f)).\nAnswer: 65*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 2, -5, -286, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1361050 divided by -10\nAnswer: 136105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 194 = -2*o. Let k = -108 - o. What is the remainder when 13 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/12 + 2*i**3\/3 - 7*i**2\/2 - 2*i. Let b be y(-6). Suppose -3*w + 1 = -b. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(0 + 0 - -1). Let r(g) = -g**3 - 10*g**2 - 8*g + 6. Let c be r(-9). Let q = c + 0. Are q and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 5:28 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 16*l**2 + 5*l - 12. Is m(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + 1*(4*(2 + sqrt(176)))**2)*-6.\nAnswer: -17306 - 1536*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 4985, -4 in descending order.\nAnswer: 4985, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + a = 24, 5*v + 269*a + 21 = 273*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -421278*r. Let i(l) = 8*l**2. What is i(d(o))?\nAnswer: 1419801226272*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -14.028. Let x = 0.03 + g. What is x rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -15?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/((-4 + 8)\/4). Let v = -15 + 62. Let w = h + v. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1052 - -1057. Let k(y) = -25*y**3 + 4*y**2 - 4*y - 10. Let f(u) = 100*u**3 - 16*u**2 + 17*u + 39. Let o(x) = -2*f(x) - 9*k(x). Is o(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2428 + -1483. List the prime factors of r.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 21, 0.6, 1\/5, 5\/12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347429.\nAnswer: 17, 107, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*12\/9*3\/4. Solve 3*l - d*v = 3 + 3, 3*v + 9 = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/12 - h**3 + 2*h**2 - 10*h. Let x be t(4). Suppose -4*c + 13 + 3 = 0. Put 3, x, c in decreasing order.\nAnswer: c, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 10.67344?\nAnswer: 181.44848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -362160 by -2.\nAnswer: 181080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 56*q**2 + 54*q - 206. Let h be a(11). Calculate the greatest common divisor of h and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/14 (b) 1.143 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -5.6.\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 301055, 301046, 301037, 301028?\n\"Answer: -9*w + 301064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/21 + 2\/7. Let h = k + 4. Find the third derivative of 2*m**2 - 7*m**2 + 3*m**h + 2*m**4 wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 7*x + 6. Let g be r(7). Let i be (-2)\/6*g\/8. Put -0.4, i, -0.3 in ascending order.\nAnswer: -0.4, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125aa3 (base 11) in base 10?\nAnswer: 198311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = 27. Let i = f - -33. Calculate the highest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.96 - 0.04. Let q = -3\/24715 - -24736\/173005. What is the nearest to 0.2 in 1\/2, 3, r, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 995466872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7385 divided by -5\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6392368583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lltcztcdl. Give prob of sequence zctd.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-49))\/(28\/196). What is the second biggest value in -1, -5, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1294220, -1294213, -1294206?\nAnswer: -1294199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0*u + 0*u**3 + 0 - u**2 - 1\/6*u**4. What is the smallest common multiple of 2 and m(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**3 - 2*i**2 - 762*i - 2337. Give r(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3101 - 10?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 45\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4702 = -6*g + 4756 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3753*g**3 + 367*g**3 + 13640*g**3.\nAnswer: 17760*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(1056\/72))\/((-9)\/48*-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 608 = 4*s, -2*s = -g - g - 614. Let m = 645 + g. List the prime factors of m.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20450638 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*k**3 + 157*k**3 + 42*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/(u**(2\/27)\/u)))\/u)**(-2\/121))**(-2\/57))**(-1\/6) assuming u is positive.\nAnswer: u**(104\/558657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 7420*c + 2752820.\nAnswer: 5*(c + 742)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 113269276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34960 or -18629?\nAnswer: -34960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -103. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -551 and -0.5?\nAnswer: 275.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g + 8 = 0. Let x be ((-6)\/4)\/(1\/g). Suppose -4*f = -3*p + 23, -x = p + 5*f - 1. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*w + 72. Suppose -5*k = -s + w, -6*k = -3*s - k + 31. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 167*o**5 + 276*o**2 - 2*o wrt o.\nAnswer: 10020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -3, 503, 3, 10, 9 in increasing order.\nAnswer: -5, -3, 3, 5, 9, 10, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -19 (b) 1 (c) -0.4 (d) -104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 + 7*p**2 + 4*p**2 + (1 - 12*p - 1)*(3*p - p - p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i*z**2 - 25*i*z + 4*i - 454*z**2 - 2*z - 9 wrt z.\nAnswer: -2*i - 908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooossoooooo. Give prob of sequence so.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 27 = -9*f. Let y be (-1 + 3)*f\/6. Solve y*r - 9 = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 80 = -5*v. Let n be (6\/v)\/(36\/(-30)). Sort -2, 0.1, n in decreasing order.\nAnswer: 0.1, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 4*j - 179, -74 = 5*v - 7*v - j. Calculate the remainder when 45 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155807897.\nAnswer: 7, 67, 47459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/88)\/(33\/(-24)). Are 0 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8741314574 to the nearest integer?\nAnswer: 2060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3 + 11*g + 4 - 6. Is y(3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46653 is divided by 8433?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*r - 14 = 0, -q + 4*r = 13 + 9. Let x be 19*(-2 + 9 + q). Suppose -x = l - 258. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -1\/9*i**3 + 4*i**2 - 48*i - 1. Suppose p(b) = 0. What is b?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 33 - 15*y**3 - 15 - 35 + 128.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 12 - 0, -380 = -2*k - 5*q. Let l = 11 + 61. What is the highest common factor of k and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3983 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 1760117745 to the power of 1\/3, to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -5) + -61 + 158.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 10. Let b(v) = v + 9. List the prime factors of b(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.73 - 74.73. Let l = m + 48. Let d = l - -16. What is the third biggest value in 5, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -5\/2*n**2 - 8\/3*n**3 + 1503\/4*n**4 - 2 + 8*n. Let i be p(-8). What is i rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 19. Let o be (-6)\/8 - (1425\/(-76) + 15). Let j(l) = l - 19. Give o*r(v) + 2*j(v).\nAnswer: 2*v + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdfdfff. What is prob of picking 2 f and 2 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93760 and 46880?\nAnswer: 93760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64205, -128419, -192633, -256847, -321061, -385275?\n\"Answer: -64214*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= 44733\/13571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (77\/39 - (7154\/182 + -39))\/((-2)\/(-72))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 131501221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6004 + -5993. What is the greatest common divisor of 6688 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37127852 to the power of 1\/2, to the nearest integer?\nAnswer: 6093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83870538, -167741074, -251611610?\nAnswer: -335482146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9148 is divided by 133?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from qjqqcjqccjchqhhj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + h**2. Let z(x) = 4*x**3 + 2*x**2 - 1. What is -6*s(d) + 3*z(d)?\nAnswer: 6*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111584122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 691 + 9089 = 0. What is the units digit of z\/(-75) - (-3)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 699.6 from 9707.868026.\nAnswer: 9008.268026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 48*a + 44.\nAnswer: 4*(a - 11)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/16)\/(2528\/(-128)).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fufddjuju. Give prob of picking 1 u and 1 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 31*q**2 + 4*q + 11. Let f(m) = -15*m**2 - 2*m - 5. Let y(r) = -6*d(r) - 13*f(r). Is 6 a factor of y(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25392 rounded to 3 dps?\nAnswer: -0.254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*c + 51*c = -3. Sort c, 6, -5, 7 in increasing order.\nAnswer: -5, c, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63647620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304492837?\nAnswer: 11, 23, 29, 47, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72942\/7 + 10420. Which is greater: z or -0.0304?\nAnswer: -0.0304","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 178 - 173. Suppose -x*y + 169 = -v, -4*y = 3*v - 2*v - 137. What is the greatest common divisor of 4 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 8. Let b(c) = -c**3 - 2*c**2 + 4*c - 6. Let f be b(k). What is the units digit of (-7)\/((-21)\/f)*6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + (((1*sqrt(1300) - sqrt(1300)) + 1)*-6 - (sqrt(1300) + sqrt(1300) + 1 + -3 - -1*(1 + sqrt(1300)))))**2 + 4.\nAnswer: 300*sqrt(13) + 11733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265 and 90.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 81, 807, 2797, 6687, 13113?\n\"Answer: 106*m**3 - 4*m**2 - 4*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*1*(-1)\/1. Let v(m) = -m**2 - 5*m + 3. Let u be v(p). Suppose u*w + 4*f - 2*f = 7, 5*w + 15 = 2*f. Is w smaller than 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -547.19\nAnswer: -54.719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3196278 to the nearest integer?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 3*n + 1. Let j(g) = g + g - 26097*g**2 - 2*g + 26098*g**2. What is h(o) - j(o)?\nAnswer: o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -42. Suppose 4*z + 298 = i*l + 51, 4*z - 77 = -l. Let p = l - 79. Let v(y) = -2*y**3 + 2*y**2 - 1. Calculate v(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 388 (c) -393\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10414037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**5)\/s**(2\/19)*(s*(s\/(s\/(s\/(s\/s**1))))\/s)**(-35) assuming s is positive.\nAnswer: s**(-534\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 11*j - 173. What is the remainder when 240 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -427.45 + 416. Round n to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724961671 a multiple of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 3*j - 5*j)*((2*j - 3*j - j)*(0*j + 5*j - 3*j) - 5*j**2 - 4*j**2 - j**2 + (2*j - 5*j + 2*j)*(2*j + 3 - 3)).\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 11. Let p be g(8). Let x = 10 - p. Solve -3*a + 2*r + 3 = 0, a - x*a - 3*r - 13 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 321*a**2 + a - 669*a**2 + 0*a**3 - 2*a**3.\nAnswer: -2*a**3 - 990*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/13 (b) 2 (c) -3 (d) -8\/7 (e) -4 (f) 1\/4 (g) -0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2, -0.01 in decreasing order.\nAnswer: 2, -0.01, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-55) + (-340)\/(-1540) - (-68)\/182?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/870 and -101\/1914.\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -21*(-1 + -2 + 2). What is the highest common factor of 168 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - y + 141*y**3 - 454 + y**4 - 143*y**3 + (0*y + 0*y - 2*y)*(-6*y**3 + 2*y**3 - 4*y**3) to t*y + v*y**2 + g*y**4 + s + f*y**3 and give s.\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 663*v**3 - 49275*v**2 - 1262973*v - 2334102.\nAnswer: -3*(v + 2)*(v + 73)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*d - 73684, -158*d + 157*d + 18416 = 2*q. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.08 (c) 3\/2 (d) 38\/5 (e) 4 (f) -7 (g) 1\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m = -6*m + 6010 - 5722 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -13*n + 9. Let f be -3 - -1 - (-1 + -3*n). Solve -c = -3*d + 20, -f*d = -0*d + 2*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+3434.528\nAnswer: 3434.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2089*x**5 + 3*x**2 + 192.\nAnswer: -125340*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-341262 - 836*s**2 + 341262)*(6*s - 4*s - 4*s) in the form q*s + p*s**2 + j*s**3 + u and give j.\nAnswer: 1672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*f = h + 7, -f = -5*h - 2*f - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -194 - -201. Suppose -q*n = -5*n - 526. List the prime factors of n.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a + 18. Let r(f) = 14*f - 54. Let t(m) = 3*r(m) + 8*w(m). Let j(i) = -4*i + 30. Let z(y) = -3*j(y) - 5*t(y). Let q(x) = 295*x. Give z(q(h)).\nAnswer: 590*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:44 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 4:31 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1101497970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.89 - -0.41. Let n = s - 0.3. What is the closest to n in -5, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21*(-8)\/24)\/(4\/4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -1 (c) 0.18 (d) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 - 2. Let i = -8.2 - 0.8. Let g = 13 + i. Which is the closest to m? (a) -1\/6 (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(7\/8)*t)**(-44)\/(t**29*t*t**(-1\/62)))**27 assuming t is positive.\nAnswer: t**(-94149\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 divided by -790?\nAnswer: -439\/790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1579218?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**3 + 40516*k**2 + 121318656*k + 89982996480 = 0.\nAnswer: -4512, -1105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57492*w**5*z**3 + 9*w**2*z**3 - 4256*z**3 wrt w.\nAnswer: 3449520*w**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 35 = -p - 3*p, -4*p = -4*u - 140. Let n = u + 38. Solve -2*l = -3*c + 7, n*c + c + 4*l - 16 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 14. Let i = -3 - j. Solve 3*u = 2*m + 4 - 14, i = 3*m + u - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1523 + -1523.00000324. Round t to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 0. List the prime factors of ((-5)\/3)\/(o\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 2*m**2 + 13*m - 6. Let f(d) = 3*d + 13. Let g(a) = -5*f(a) + 4*u(a). Calculate g(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37404 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 45007760*o**2 + 45007756*o.\nAnswer: 4*o*(o + 1)*(o + 11251939)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-4) + 9\/18. Let h be 2*(a - (-1)\/(-2)). Suppose -2*u - 88 = -3*d, d = h*d - 3*u - 62. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 172*i + 6. Let y(b) = -173*b - 7. Let j(h) = 6*u(h) + 5*y(h). Let p be j(1). Let d = p - 41. What are the prime factors of d?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3469206.17 to the nearest ten thousand.\nAnswer: 3470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**3 + 3*h**2 + 4*h - 4. Let r be s(4). Suppose -115 - r = -5*v. Suppose 2*g + 141 = -v. What is g rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + o**2 - 2 - 6*o**2 - 2 + 14*o**2 - 2*o**3 to the form k + n*o**2 + d*o + z*o**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 9898 - 1098 = 0. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 4 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d - 8, 2*d + 56 = 4*k. Suppose -14 = -13*p + k. Suppose 5*y - 8 - 37 = 0. Solve 0 = -f + 3*g - 13, 2*f - y = -p*g - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 8. Let v = c - 6.99786. Round v to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**3 + 10*u**2 + 2*u - 2. Let g be c(-2). Solve 45 = -7*k - g*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 1271.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 21. Let p be u(0). List the prime factors of (p\/(-18))\/((-2)\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2. Let o(y) = -26*y - 2. Let k(v) = -113*v - 7. Let s(x) = 2*k(x) - 9*o(x). Calculate s(i(a)).\nAnswer: -16*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/(-38)*(6\/4 - 1). Sort -5, -0.7, x in ascending order.\nAnswer: -5, -0.7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -43*h + 639. What is s(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001000101111010 - 1010?\nAnswer: -1011001000110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x**3 + 2*x**3 - 4*x**3)*(x + x - x) - 1 + 1 - 12*x**4)*(3*x + 4*x - 4*x) + x**5 - 3*x**5 + 4*x**5 + (-3 + 3 + 1)*(4*x**5 - x**5 - x**5).\nAnswer: -38*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10660, 30332, 59030, 96760, 143528?\nAnswer: 199340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a041 (base 11) in base 6?\nAnswer: 3035512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + 5*x**2 + 5*x + 6. Let i(o) = -o + 1 - o**2 + 2*o + 2*o**2. Let h = 91 + -86. Give h*i(y) - l(y).\nAnswer: -2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**3 + 94*u**2 + 4204*u - 131265. Determine t(31).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47073 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5071 is divided by 317?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u - 7. Let b(l) be the third derivative of -l**4\/12 + l**3\/2 - 4*l**2. Let o(p) = 3*a(p) + 7*b(p). Let q(z) = -5*z - 3*z + 5*z. Determine q(o(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 286 - -1269. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 plus -4160?\nAnswer: -4383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 5:27 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1920150 and 40\/38403.\nAnswer: 1920150","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*t - s = 5, -4*s - 5 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + u + 1681, -i + u = -896 + 55. What is the lowest common multiple of i and 180?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21539785?\nAnswer: 5, 4307957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 11:43 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 419740994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 6:44 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -118 and -1995\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 68579771 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve r - 1 = -2*o, -2*o + 7*r + 9*r + 35*r = 46*r - 31 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = 5*m + 7, -5*h + 17 = -m. Suppose h*y - 5*q = y + 74, 0 = -3*y - 3*q + 111. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grprrmrrmrpgypy. Give prob of sequence rmpm.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 15*w**2 + 30*w - 467. Let m be d(15). Let g(c) = c**2 + 20*c + 19. Determine g(m).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 16*v**2 - 28*v + 14. Let z be h(14). Let g = z - 8. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*-3 + 5 + (sqrt(11) - (-1 + sqrt(55)\/sqrt(5)))**2 + sqrt(44)*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3*(3 - (-26)\/(-6)) - 107338\/(-28611) and -23\/252.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432 - 343 + 646 = 3*g for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27375 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -176173 * 10.\nAnswer: -1761730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 19*y**3 + 2*y**2 - 51*y + 333. List the prime factors of g(6).\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - 57 - (0 - (8 - 1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 762447517 to the power of 1\/2, to the nearest integer?\nAnswer: 27612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c - 36*c = 17*u - 3, -3*u = -c - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2. Let b(p) = 3*p + 2*p - 3*p**2 - 5*p. What is b(y(o))?\nAnswer: -48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577*k - 608 = 609*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 7 - 25 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 20 = 5*d + 2*v, -12 = 5*d - 3*v. Let n(u) = -u - 8. Calculate n(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 6*r**2 - 7*r. Suppose -4*x - 44 = 4*c, -34 = 2*c - 0*c + 5*x. Let p be b(c). Find the second derivative of -7*i - 2*i - i**4 + p*i wrt i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 7*g**2 + 6*g. Let r be t(-6). Suppose 4*p + r*p = 264. Suppose -21 = 3*b - p. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -627, -1295, -2379, -4017, -6347, -9507?\nAnswer: -13635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1635*s - 2*u = -1631*s + 14, 11 = -s + u for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4607, -5, 17, 1 in decreasing order.\nAnswer: 17, 1, -5, -4607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5 + 11. What is the second biggest value in u, 4, 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p\/(p\/(p*p*p**(-4\/5))*p))\/p))\/(p*p**8))**(2\/3))**(2\/55) assuming p is positive.\nAnswer: p**(-48\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -6 - (-55 - -57).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9484, 5536, 20556, 35576?\n\"Answer: 15020*p - 24504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 62525 times 3\nAnswer: 187575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-16 - ((-17 - (5 - 8)) + 71 + -57)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2. Let m = -0.2 + z. Let j = 18.55 - 14.55. Sort 0.1, j, m in decreasing order.\nAnswer: j, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5330 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5751 not equal to 51764\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -x - 3*x - 5*r, 2*x - r - 1 = 0. Suppose 5*b = -x*y + 24, -4*b = 4*y - 1 - 11. What is the remainder when 10 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 9 + (0 - 1 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(125) + (sqrt(125) - (sqrt(125) - (sqrt(125) + -1)*4 - sqrt(125))))*1 - (-1 + sqrt(125) + -4 + 0 + sqrt(125) + sqrt(125) + -3))**2*2.\nAnswer: 540*sqrt(5) + 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31422 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117090000 rounded to the nearest one million?\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2. Let g be d(4). Let m = 47 + -47. Find the first derivative of -13 + m*n - 2*n + 20 - g wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4083*j - 1811*j + 88 - 44 - 44 as a + z*j and give z.\nAnswer: -5894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490303?\nAnswer: 11, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y**2 - 2. Let j be u(-2). Let a(f) = f**3 + 4*f**2 - 7*f + 3. Let z be a(-3). What is the greatest common factor of j and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13077313 to the nearest integer?\nAnswer: 3616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + 5?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2010588 is divided by 62830?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -36379366\nAnswer: 72758732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*j - 23, 10*z = -j + 11*z + 7. Suppose 0*t = t - 5*g + 1, t - j*g - 5 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 equal to 134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-10))\/((-6)\/8). Let o be 6\/(-9)*9\/y. What is the smallest value in 3, -0.04, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-17 + 152\/(-88))\/1?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q, 24152 = 3*v + 4*q - 43282. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 2:16 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w**2. Let y(f) = f**2. Let t be 2076\/(-1557) - -7*(-2)\/(-6). Suppose 0 = h - 7 + 4. Let q(l) = h*y(l) + t*m(l). Let d(g) = g. Determine q(d(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6 = 0, b - 3*r + 3 = -5. Let l be 527\/595 - 4\/14. Sort l, 13, b, -0.3 in ascending order.\nAnswer: -0.3, l, b, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) 174 (c) -2\/11 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -625 (base 13) to base 2.\nAnswer: -10000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 6 - 14 - 4 to v*j + u + o*j**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 6*j + 24 = 0, -5*j - 4116 = -4126 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1391824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, 5, 7229?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 3 (b) -1\/125 (c) 2 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120202020 - -102000110?\nAnswer: -11201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -183485 - -278931. Let p be (-21)\/84 + f\/(-11040). Let y = 5\/1104 - p. What is the common denominator of y and 7\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g + 494. Let l(a) = 12*a**2. Calculate b(l(x)).\nAnswer: -36*x**2 + 494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 >= -138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -32417.\nAnswer: 4\/32417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**5 + 92*k + 1 - 102*k - 1 wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (131\/45)\/(1\/6) + -60*68\/(-3400)?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**3 + 4*g**2 + 3*g. Let l(m) = m**3 - m**2 - m - 1. Determine -2*l(s) - u(s).\nAnswer: -5*s**3 - 2*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*t + 16 = 0, 0 = 5*t - 0 + 5. Suppose 98 = 10*k + w*k. Calculate the highest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11314.42cm?\nAnswer: 113.1442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 30*j**3 + 45*j**2 + 20*j - 60.\nAnswer: 5*(j - 3)*(j - 2)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 458.5157 years in centuries?\nAnswer: 4.585157","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 3799.83 - 3768. Let u = 30.02982 - q. Let g = -1.8 - u. Round g to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 334662638 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/878256 and 79\/447260.\nAnswer: 48304080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**5\/9 - 212*k**4\/9 + 6218*k**3\/9 - 10600*k**2\/3 + 5000*k = 0.\nAnswer: 0, 3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -654 (base 7) to base 2.\nAnswer: -101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 11*z**2 + 12*z - 13. Suppose 3*t + 58 = 8*t - 4*a, 3*t = 5*a + 40. Calculate g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w - 956. Let g = w - -116. Let d = -164 + g. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31313, 125207, 281697, 500783, 782465, 1126743, 1533617?\nAnswer: 2003087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n - 979 + n - 4*n - n + 979.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2083*t - 2090*t + 4180*t + 13 + 5 to the form w + j*t and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + y - 10. Calculate m(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 251*j.\nAnswer: -j*(j + 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4502009, -9004014, -13506019, -18008024, -22510029, -27012034?\n\"Answer: -4502005*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 76*z + 5. What is the units digit of w(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3215*-0.3.\nAnswer: -964.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1 (c) -2\/3 (d) 15.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 22, 23, -2481, -3 in increasing order.\nAnswer: -2481, -3, 0, 5, 22, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/53, -1.1, 0, 1\/4?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 c when three letters picked without replacement from {c: 3, e: 3, s: 2}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -210, -6, -2 in descending order.\nAnswer: -2, -6, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1228*i**3 - 21984*i**2 - 1 + 1337*i**3 - 14*i + 21984*i**2 + 14*i.\nAnswer: 109*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 131\/12 (c) -0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-two fifths of a day?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipiqpiqpqip. What is prob of picking 1 q and 3 p?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 163, 164, 155, 130?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0380215 litres?\nAnswer: 38.0215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.23172 and 7?\nAnswer: 7.23172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by 3047?\nAnswer: -8\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 362773 and 499?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-648)\/(-252)*(-14 - 147\/(-12)). Let q = -20 + 99\/5. Which is the third biggest value? (a) j (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20, -28, -28, -20, -4, 20?\n\"Answer: 4*f**2 - 20*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*n + 20, 0 = 4*l - 4*n - 96. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 32. Suppose 13*r - y*r = -75. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 35539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 8 + s**2 + 8*s - 20)*(-4 + 2 + 4)*(-12 - 1 + 0)*(11 + 9 - 10).\nAnswer: -260*s**2 - 2080*s + 780","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 6*d**2 - 3*d + 20. Let l be p(6). Solve 3*j + 0 = -l*o - 11, -2*j - 4*o - 18 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 - (-2 + (2 - 2)). Suppose 4*v = p + 3, 5*v + 4*p = s + 19. Let n(h) = 6*h**2 - 2*h + 3. What is the units digit of n(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 528.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007076344 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaeqazeezb. Give prob of sequence ebq.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1222002022 (base 5) to base 14\nAnswer: -560cc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3822641 * 0.5.\nAnswer: 1911320.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -135*w - 110. Suppose 0 = 4*z + 20*o - 24*o - 12, 5*o + 7 = z. Let d(x) = 5*x + 4. Let a(i) = z*m(i) + 55*d(i). Let n(y) = -22*y. Calculate a(n(s)).\nAnswer: -110*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*a**5 - 37 + 37 + 6*a**5 - 3*a**5 - 2*a**5 + (2*a**4 + 0*a**4 + a**4)*(-2 + 2 + a) - a**2 + a**5 + a**2.\nAnswer: -11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1392\/11, 0, 1\/5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4 - -1)*1640\/(-2214). Which is the second biggest value? (a) -15 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**4 - 166*h**3 + 1020*h**2 - 1552*h + 704. Let m(i) = 8*i**4 - 331*i**3 + 2038*i**2 - 3100*i + 1410. Let p(v) = -5*d(v) + 2*m(v). Factor p(o).\nAnswer: -4*(o - 35)*(o - 5)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138696689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -17*s + 2. Let z be m(3). Let g be ((-30)\/35)\/((-2)\/(-84)). Let f = g - z. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177*a**3 + a + 1931.\nAnswer: -531*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 33850360*n - 57292343606480.\nAnswer: -5*(n - 3385036)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 16*c**2 + c - 23. Let p be k(16). Put -4, 4, p, -3 in descending order.\nAnswer: 4, -3, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*266\nAnswer: 1862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 0 - 1\/8*q**4 + 1\/6*q**3 + 0*q**2 - 1\/60*q**5 + 2*q. Let x(g) be the second derivative of i(g). Give x(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383531023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -198468 divided by -74?\nAnswer: 2682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 273105143.3 to the nearest 10000.\nAnswer: 273110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -110000 (base 3) to base 14\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -12 - (3 - -2) - (-1 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 13*a**3 - 43*a**2 - 7*a + 4. Let x(i) = -4*i**3 - i**2 + 3*i + 1. Give -c(q) - 3*x(q).\nAnswer: -q**3 + 46*q**2 - 2*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 15 - 11*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -29*16\/(-1856)*0. Solve -6\/5*x**3 + l - 2*x**2 + 4\/5*x = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at most -937005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {n: 3, t: 17}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183770428.\nAnswer: 2, 45942607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.145171+2206\nAnswer: 2205.854829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 86*y - 131*y + 6*y**3.\nAnswer: 7*y**3 - 217*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 3:56 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-105)\/12)\/(-5)*20 - 3. Suppose 2*b = b + g. Suppose -b = -4*p + 228. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {p: 1, s: 7, u: 12}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 22 = -y. Solve 0 = -y*n + 5 - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(5) + sqrt(20)) - sqrt(11))*3.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 44 + 44 + j**2 to the form t*j + z + r*j**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 1\/2*h**2 + h - 113. What is g(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 81*u**3 + 35 - 45*u**3.\nAnswer: -126*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1666078, -1666095, -1666124, -1666165, -1666218, -1666283, -1666360?\nAnswer: -1666449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 703888 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c3f0 - 7?\nAnswer: -1c3f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1545972, -1546006, -1546040, -1546074, -1546108?\n\"Answer: -34*p - 1545938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a microgram in nanograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1122 and 142698?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1805*g + 1424*g + 63155 + 40173 = 0 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/120 and 137\/18?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:10 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6705 = -239*j + 2164 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -56*f**2 - 4042*f - 728. What is s(-72)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (7 - 2 - -11). Sort j, 2\/5, -10\/7 in decreasing order.\nAnswer: 2\/5, -10\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*k - 828 = -1416. What is the remainder when 275 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614551 is divided by 2104?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 + 25*w\/4.\nAnswer: w*(w + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83 + 9 - 0 - -58?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p + 149. Let t be x(-29). Suppose t*g = 2*s, -2*g + g = -5*s - 18. Let w(f) = -2*f + 6. Let d(k) = 3*k - 7. Calculate s*d(a) - 5*w(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-783 + 573 - 130 - 1182)*(n - n - 2*n**2)*(-n**2 - 2*n**2 + 2*n**2).\nAnswer: -3044*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t - 5*g - 12, 0 = -t - 4*g - 11. Solve -11 - t = 3*a + 3*h, 5*a = -2*h - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.122994965 - 4597.\nAnswer: -4597.122994965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330 (base 16) to base 9.\nAnswer: -1106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184700*i**3*s**2 + 147*i**3*s + 2474*i*s**5 - 147808*s wrt s.\nAnswer: 369400*i**3 + 49480*i*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*d + 20. Let k be 0\/(7 - d) + (2 - -5). Calculate the greatest common divisor of k and 252.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5023\/3 - -10055\/6. What is u in -3*u**2 + 0*u + 0*u**4 + 9\/2*u**3 - d*u**5 + 0 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i + 11. Let v(y) = -y + 2. Let a(f) = 3*f**2 - 18*f + 11. Let o be a(6). Determine o*v(d) - 2*l(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 29\/9 + (-2)\/9. Suppose -5*u + 8*v = 6*v - 51, 5 = u - 3*v. Suppose u*f - 2 = 9. Solve 5*q - 20 = 5*l, 0 = a*l - 2*l + f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -416373 or -416378?\nAnswer: -416378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9660.99 - 9661. Sort 2, p, 2\/15, 5, 1 in descending order.\nAnswer: 5, 2, 1, 2\/15, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.399114 milligrams?\nAnswer: 0.006399114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -163327 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 229*u**2 - 3819*u - 1613. Give f(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -3 - (-2)\/1. Suppose -3*g + z*g + 5 = 0. Let u(r) = r + 4. What is u(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307382250 - -6.16244?\nAnswer: -307382243.83756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -1219 - 2517. Is 29 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 34036, -48, 3\/8, -4, 0.5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/15 - 2*z**2. Let v(i) be the first derivative of -7*i**3\/3 + 309. What is v(b(h))?\nAnswer: -112*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Let j(d) = 1. Let k(a) be the second derivative of -a**4\/12 - 4*a**3\/3 - 5*a**2 + 6*a. Let u be k(-6). Give u*j(w) - n(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5*a**2 - 6760*a + 6765 = 0.\nAnswer: -1353, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -3.757938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 136. Let q be b(0). Suppose d - 6*v = -2*v + 61, v = 2*d - q. List the prime factors of d.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d - 17 = 3*u, 4*d = -8. What is the tens digit of 3\/u - 309\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.82129 to two dps.\nAnswer: -16.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*s - 882 = -847, 3*s + 33 = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 29 = 4*g + 6, 0 = 2*g - 5*j + 35. Let p(b) = b**2 + 12*b + 5. Let d be p(g). Let w = 32 + d. Solve x + 4 = w*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Suppose c*x + 12 = 6*x. Suppose 2*q - 428 = -2*l, q + x*q - 2*l - 1049 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-13) - (-438)\/8541. What is the closest to 2\/35 in -3, -2, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/7*c - 2\/7*c**5 - 8\/7 - 2\/7*c**4 + 10\/7*c**3 + 10\/7*c**2 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21901 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 5*t + 1\/3*t**3 + 0 + 9\/2*t**2. What is the units digit of z(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1144\/78 + 2\/6. Suppose -w = -5*p, 19*q - 17*q = 4*p - 18. Put 8, 3, q, -2 in ascending order.\nAnswer: q, -2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 + 112. What is the least common multiple of 40 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22110 + 112?\nAnswer: -21332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83916 + 27329 + 28295 - 17*q + 28292.\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -297*u + 147*u + 4*u**4 - u**3 + 154*u - 4 to h*u + k + t*u**3 + g*u**2 + y*u**4 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 4 - 1 - 7. Let i be a(-4). Solve -y + 3*j - 6 = i, -y + 6 = -3*y + 3*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*h + 4*j + 18, j - 6 = -2*h. Let y = 0 - h. Let a be (y + 0)\/(6\/(-9)). Which is smaller: a or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1775 - 1762. Let m(p) = -p**2 + 24*p + 30. Calculate the remainder when u is divided by m(25).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-4*(sqrt(55) - sqrt(275)\/(sqrt(25)\/sqrt(5))))\/((sqrt(45) + sqrt(2205)*2)\/sqrt(144)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359204971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/9 + 4*d**4\/9 + 56*d**3\/3 + 84*d**2 + 138*d + 72 = 0?\nAnswer: -3, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1105783 divided by 157969\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1108582 (base 9) to base 5.\nAnswer: -123044201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 10 + 3)*(-3*r + 3*r + 2*r).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8049 divided by -1518.\nAnswer: -2683\/506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/5541336 and 81\/17855416?\nAnswer: 160698744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8101 + -210517\/26. What is the common denominator of d and (4 + 198)*(-2)\/8?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 3:20 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.29 + -1.2. Let f = -0.0744 - -0.2744. Which is smaller: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1115 + 3335\/3. Let i = 333869\/24 - 13915. Find the common denominator of i and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 86 - 95 = -5*v, -1 = u - 3*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5*n = 25, 4*z + 12*n = 9*n - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-336)\/756*((-2)\/3 - (-7)\/(-3)). What is the fifth smallest value in 1\/35, -3, -1\/4, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1298203 = -3*j - 2*f, 2299300 = 4*j - 3*f + 568340. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 9)*(-4 + 2 - 4)*(-z - 1 + 1) + (5 - 2 - 1)*(-4*z + 2*z + 3*z).\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0218*74461.\nAnswer: -1623.2498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 39. Round l to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 12:08 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.98 - 0.32. Let p = -40 - y. Round p to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1247*i + 6931. Calculate n(-5).\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -2\/5743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33297 is divided by 254?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0933 take away -1.3?\nAnswer: 1.3933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 171.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-3\/5)\/n)\/n)\/(n\/(n**(-3)*n)))**(3\/23)*(n**4*n*n*n*n)\/(n*n*n**(-1\/4)\/n)*(n\/((n**8*n)\/n))\/n*n*n*n**(-3\/5)\/n assuming n is positive.\nAnswer: n**(-497\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/156)\/(-5 - 1) - 2\/(-12).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396200083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/5 of a decade?\nAnswer: 1368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 12 - 0 - 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7396.898s in nanoseconds?\nAnswer: 7396898000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(-2*sqrt(4)) - (-3 + 1 + sqrt(5)))**2 + 5 + -3 + sqrt(45).\nAnswer: -3*sqrt(5) + 69\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 6. Let o be k(0). What is the highest common factor of 18 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1791, -1974, -2157, -2340, -2523?\nAnswer: -2706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, -22102.\nAnswer: -22102, -17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 751 + c**3 + 2*c**3 - 9*c - 2*c**3 - 755 + 7*c**2. Suppose i - 5 + 13 = 0. Determine f(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457102 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(4\/3)\/u)\/u**11)\/(((u*u*u**(-15)*u)\/u)\/(u\/(u*u*u*(u\/(u\/(u*(u\/((u\/((u*u**(-8))\/u)*u)\/u))\/u*u*u)))\/u*u))))**4 assuming u is positive.\nAnswer: u**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqqvqvffq. Give prob of picking 2 q and 1 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (-2 + 0 + -2 + (-41 - -49))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2370\/70 - (-8 + (-62)\/(-7)). Suppose -3*t = t - 60. Does t = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1673338589 to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a870 - -4a?\nAnswer: -5a824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -974 - -978. Suppose a + 2*a + v = 31, 5*a + 5*v - 35 = 0. Let y be 1*5\/(10\/a). Solve 2*c + 3*c - 3*n + y = 0, 0 = c - s*n + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 - 0.03. Let j be (-80)\/(-36) - 2\/1. What is the second smallest value in j, r, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let p be -15 + 1519 + (-8)\/o. What is p rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by 9?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6860 less than -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 466 + -454. Suppose 4*i - 3*i = 34. Calculate the remainder when i is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9850*i**2*k**3 + 28*i**2*k**2 - 6*i**2*k + 2*i*k**3 + 16*k**2 wrt k.\nAnswer: -59100*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (110\/(-165))\/(100\/(-12750))\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/3 - 25\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -t - 12, -407*t = 2*k + 414*t - 823*t + 16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (-4 + 6) - -513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-34) + 195152\/68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 - 4*v + 1 + 4*v)*(-9*v - 14 + 14 + (3 - v - 3)*(3 - 1 - 1)) to the form a + z*v + n*v**2 + m*v**3 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**33\/h*h\/h**(-9))\/(h\/h**0)**(2\/63))**(-2\/97) assuming h is positive.\nAnswer: h**(-5288\/6111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 18*x + 6*x as m + p*x and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*r**2 - 289 + 289 - 3*r**6 wrt r?\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**2 + 38*p + 81. Let j(v) = 14*v**2 + 113*v + 236. Let h(u) = -11*g(u) + 4*j(u). Give h(-32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3546517 - 3546517.7000042. Let s = -0.7 - d. What is s rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.690814 nanograms in milligrams?\nAnswer: 0.000008690814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) 405 (c) -1\/3 (d) 1\/9 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 2, x: 4, o: 4, u: 2, b: 1}. What is prob of picking 1 x and 1 u?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2\/(-30)*(-9 + 6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 7*b**3\/3 + 7*b**2 + 70*b. Let w(z) = -9*z - 9. Suppose 0 = -3*f + 2 - 26. Calculate f*w(d) - 5*x(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -12. Let f = -33 + n. Sort -1, 7, 1, f in descending order.\nAnswer: 7, 1, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*j + 2*f, -14*j - 5*f = -11*j + 58 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in months?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205 by -208980.\nAnswer: 41\/41796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.84 + 25.84. Sort 2\/13, -1\/2, m in increasing order.\nAnswer: -1\/2, 2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 3*p - 1. Let i(y) = -y**3 - y - 1. Let z(n) = -n - 7. Let o be z(-6). Give o*k(f) + i(f).\nAnswer: -2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/14536 and 30\/11.\nAnswer: 159896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1021 - -687. Let w = m + 334.02992. Let u = w + -0.03. What is u rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164195?\nAnswer: 5, 32839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 512611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.165205 decades?\nAnswer: 19.8246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r + 2*j + 6 = 0, 0 = 4*r - 4*j - 12. Solve r = -3*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206990 is divided by 147.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 18682, -1, 2 in descending order.\nAnswer: 18682, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b437eb + 3?\nAnswer: b437ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Suppose 17 = 75*y - 80*y + x, -4*x = 3*y + 47. Put -1, -6, m, y in ascending order.\nAnswer: -6, y, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, 6, 115, 1.\nAnswer: -4, 1, 6, 13, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 357610.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*r**3 + 26*r**3 + 3*r**2 - 167*r**3.\nAnswer: -318*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13661898 divided by -6\nAnswer: 2276983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1619*u**2 + 386*u + 10. Let i(c) = 1620*c**2 + 381*c + 8. Let g(n) = -5*i(n) + 4*p(n). Find the second derivative of g(o) wrt o.\nAnswer: -3248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -87*p + 700. Let z be f(8). Which is the nearest to -1.1? (a) z (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 22 = 2*s + a, 0 = -s - 2*a + 3. Let j(c) be the second derivative of -c**3\/6 + c. What is the units digit of j(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**2 + 0*r**2 + 340*r + 4*r**2 - 105*r.\nAnswer: -5*r**2 + 235*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 273979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -2 (b) -14 (c) -3 (d) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = 13*w + 12*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2. Let k = -3618915 + 3618917.999999. Let m = k + z. Round m to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4747 - -59c?\nAnswer: 4ce4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -266 divided by -2493\nAnswer: 266\/2493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 2 + 1 + 6 + (28 - 36).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.454 - 1.754. What is the second biggest value in p, -1\/11, -4, 3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + -4)*6)**2 - (sqrt(242) - ((5 + sqrt(242))*2 + sqrt(242))).\nAnswer: -3146*sqrt(2) + 9298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*d**4 - 107304*d**3 + 106624407*d**2 - 23689014*d = 0. Calculate d.\nAnswer: 0, 2\/9, 1987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 3*f - 6 + 3)*(3*f - 2*f**4 - 3*f).\nAnswer: 6*f**5 + 32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p - 5. Let r(w) = -w. Let m(i) = -6*r(i) + u(i). Let l(j) = 2*j - 6. Suppose -3*h - 22 + 7 = 0. What is h*l(y) + 6*m(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/461?\nAnswer: 1\/461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 338 * 317898.\nAnswer: 107449524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38638128 at least as big as 347743144\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by 313.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 222?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*u, 0 = -h - 0*h - 4*u + 56. Let t = h - -352. Suppose -f = -5*o + t, -47 - 353 = -5*o - 2*f. What is the greatest common divisor of 32 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**4\/12 + 5*u**3\/3 - 4*u**2 + u - 40. Let r(x) be the first derivative of n(x). Determine r(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1.7. Let m = x - 5.3. Let s = m - -5.3. Does s = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(245) + sqrt(245) + -1 + sqrt(245)))**2.\nAnswer: -672*sqrt(5) + 35296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**2*n**3 + 130196*d**2*n**2*q + 232*d**2 + 4*d*n**3*q + d*n**3 - 2*d*n + 409*d wrt q.\nAnswer: 130196*d**2*n**2 + 4*d*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 1, -8, 3, 4, -6 in increasing order.\nAnswer: -43, -8, -6, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*i + 7. Let z = -4 + i. Suppose -3*w = -z*r + 143, 0*r = r + 2*w - 22. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 81. Suppose -q = -5*p - 4*u, -47 = -2*p + 5*u - 11. Suppose -6*v - 9 = -9. Solve -p = -2*f - v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6240 + -6239. Put w, -3, 3, 66, -1 in ascending order.\nAnswer: -3, -1, w, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/25*(-40)\/256)\/((-39)\/52)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110111002012012 - 0?\nAnswer: 2110111002012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, 18.\nAnswer: 2, 16, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -43*f + 5. Let a be i(-5). Suppose v + 1 = 23. What is the greatest common factor of a and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-135)\/12*16\/(-6). Let p be (4 + -3)\/(1\/5). Solve -p*z = 5*s + b, -3 + 5 = 3*z - s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(1377)))**2*-1 - (4 + 0 + sqrt(34)\/sqrt(2) + -2).\nAnswer: -34427 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2593 to three decimal places.\nAnswer: 0.259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**2 - 316008*j - 8321754672 = 0.\nAnswer: -52668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9256 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 363671881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25295 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -5 (b) 2\/9 (c) 121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + t - 1. Let x(o) = -5*o**2 + 2*o - 3. Let j(d) = -6*b(d) + x(d). Let y be j(4). Suppose r = 4*r - y. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 12*a - 10. Suppose 4*v = -4*j - 14 + 42, 2*v - 17 = j. What is the units digit of p(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 113.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s + 7*s + 27*s + 308 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/2 - 107746*t**2 - 430981*t\/2 - 107745 = 0. Calculate t.\nAnswer: -215490, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7277160)\/17880*(-18)\/74.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 66 = -2*v - 22, 18 = i + 5*v. Let x be (6\/i*(-16)\/(-6))\/(-1). Sort 3, x, -4 in descending order.\nAnswer: 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdrd when four letters picked without replacement from rrdrrrrdrr?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 768 and 18688.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.7 + 43.7. Let o = l + -6. Let t = -35.000014 + o. Round t to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*a - 95*a - 252 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 2. Let v(n) = n**3 + 8*n**2 + 8*n + 12. Let s be v(-7). Suppose -u - 1 = -0*u + r, u - s*r - 29 = 0. Suppose 0 = 3*m - u*m. Give l(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxxxxtxxwx. Give prob of sequence xwwt.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7290*z + 147430 + 49400 = 0 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 5:48 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 3*8\/24 + (1 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -23*s + 45. Let y(l) = -l - 2. Let d be y(-5). Let n(k) = -22*k + 46. Let v(q) = d*h(q) - 2*n(q). What is the first derivative of v(i) wrt i?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 0.2 (c) 40.4 (d) -2\/47 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2082, -1988, -1894, -1800, -1706, -1612?\n\"Answer: 94*d - 2176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 31, 31, 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**14)\/b)**3\/(b**(2\/53)\/(b**22\/b)))**(-2\/17) assuming b is positive.\nAnswer: b**(2230\/901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/x**(10\/3)))\/((x**(-11)\/x)\/x) assuming x is positive.\nAnswer: x**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 44280000 to the nearest 1000000.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*y - 420 = 0, -2*v - 3*v - 2*y + 2054 = 0. What is v rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 24443*a**2\/4 + 24453*a\/4 + 5\/2 = 0.\nAnswer: -1, -10\/24443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 5*x**2 + 3*x + 7. Let i(t) = -4*t - 1. Let g be i(-1). Let m be ((-26)\/g - -2)*-3. Let n be (2\/4)\/((-2)\/m). Give k(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*3 - sqrt(24))*-1)\/((sqrt(72) + sqrt(8))*3) - ((sqrt(432) - 3*(sqrt(432) - 2*sqrt(432))) + sqrt(147) + 1 + 5).\nAnswer: -331*sqrt(3)\/6 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5436 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c66 - 5149?\nAnswer: 2b1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 1. Let h be c(0). Let t = h + 1. Suppose 5*q + 3*l - 9 = 2*q, -2*l = -2*q - 2. Which is smaller: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.593 in -370, 0.3, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3.04. Let g = 0.0400025 + p. What is g rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*b + 2*j = -542*b - 102, -j + 189 = -6*b for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**4 + 184*h**3 + 2*h**2 - 2*h + 1655 wrt h.\nAnswer: 12*h**2 + 1104*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 293dc (base 14) to base 7\nAnswer: 604165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdpddxdwgwwpggwdpl. What is prob of sequence pd?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s + 1 + 34*s - 1.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52870 + 52872 - 3*m + 16*m**2 + m**3 - m**3 - 7*m**3 to i + s*m + h*m**2 + c*m**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 1468*a + 42667. Give y(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24264 - 24287. Which is the fourth biggest value? (a) 1\/2 (b) 0.24 (c) 2\/9 (d) -3 (e) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -4607?\nAnswer: -4611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4163 - 0.4163. Which is the third smallest value? (a) v (b) -5 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 17*j**2 + 20*j - 33. Let d be f(18). What is the closest to -41\/5 in -0.1, d, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(525) - sqrt(525)*1) + sqrt(21) - sqrt(21))\/sqrt(3))**2 + 2 + sqrt(1008) + -3.\nAnswer: -1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18760*p*u**4 + p*u**3 + 2*p*u**2 - p*u + 101*p - 19*u**4 + 25*u**2 + 98 wrt u?\nAnswer: 450240*p*u + 6*p - 456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 764914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -0*m. Let j = m - -4. Suppose 5 - j - 4*x**2 + 2*x**2 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*g - 27. Let j = g - 4. Suppose -29 = -p - p - 5*c, j*c = 5*p + 15. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 97*a**2\/2 - 4124. Let o(h) = 40*h**2. Calculate g(o(i)).\nAnswer: 3880*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -23\/3*l**3 - 26 + 0*l + 27\/4*l**4 + 0*l**2. What is the third derivative of f(i) wrt i?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56650015?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.5, 1554.9, -479?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/4)\/((-4)\/16). Let t(d) = d**3 + 8*d**2 - 10*d + 1. Does 6 divide t(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -5, 5, 43 in decreasing order.\nAnswer: 43, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 4*o + 4. Suppose 3*s = b + b - 6, -3*b - s = 13. Let c(p) = 2*p**2 + 4*p + 4. Let k(w) = b*m(w) + 2*c(w). Determine k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = 15*a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 4. Let c be (-6)\/2 + (-1 - 0). Let z(r) = 5 - 8 + r - 5*r. Let k be 2*-1*(-3)\/2. Calculate c*z(x) + k*p(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f = 0. Let s(p) = p + 2. Let k be s(f). Let x(i) = -i**2 - 10*i + 13. Let q be x(-11). Solve 0 = -b - 5*r + 8, -b - 2 = -k*b - q*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(2*sqrt(243) + sqrt(243) - sqrt(3))*-1)\/(((sqrt(132) + sqrt(132) + (sqrt(132) - 1*sqrt(132) - sqrt(132)))*4)\/(sqrt(11) - 2*sqrt(1584))))**2.\nAnswer: 529\/5408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.2 - 5.2. What is the nearest to -16 in s, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-1275)\/(-1245))*5.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let i = u - 0.4. Suppose y = -4 - 0. Put 5, i, y in descending order.\nAnswer: 5, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26698 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 593259638 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 next term in 1404, 2824, 4232, 5634, 7036, 8444?\nAnswer: 9864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 21 = 4*r, -5*r + 9 = -4*r - 5*o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4122.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n + 2*n, 2781 = q + 4*n. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/35)\/((2\/255)\/(20\/(-90)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1350 and 150.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2962 = -5*v - 503, 2*a - 3*v = 1390. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 4*n**2 - 2*n + 1. Let k = 30 + -27. Let p be v(k). Solve y - 25 = -2*u - 2*u, 0 = p*u - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1580680.\nAnswer: 316136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1168299 or -1168666?\nAnswer: -1168299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 3*s - 1 - 2, 6 = -3*y - 4*s. Let t(a) = -7100001*a + 2. Let n be t(y). What is n rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**31\/(t*t*(t\/((t*t**(-1\/6))\/t))\/t*t) assuming t is positive.\nAnswer: t**(167\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -627 and 3671017636.\nAnswer: 3671017009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-3))\/(3\/(-18)*-2). Let m(d) = -17*d**3 + 11*d**3 + 5*d**i - d - d + 8 + 6*d**2. What is m(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = p - 101, p - 101 = 87*c - 83*c. Calculate the remainder when 2805 is divided by p.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 10:36 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65665 - 237589 - 15087 = 165*n - 2054*n for n.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-62)\/14 + (-60)\/(-140). Let y = a - -14. Solve -8*k - y = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 643*l - 1013. What is the least common multiple of 2418 and n(2)?\nAnswer: 16926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 2. Suppose 2*w - b - 10 = -3*w, -3*b - d = -4*w. Suppose 1 = c - 0, -4*f + w*c = -78. Solve 3*l = 4*z - 16, -4*z + f = -7*l + 3*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*m = 193 + 352 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 32*o + 38. List the prime factors of z(10).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18901 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21655010.\nAnswer: 2, 5, 13, 157, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -102, -265, -524, -897, -1402?\nAnswer: -2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1154654 or 1156302?\nAnswer: 1156302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5 + sqrt(336)\/(sqrt(84)\/sqrt(108)) - sqrt(4800)*1*6*-6))**2.\nAnswer: 29040*sqrt(3) + 6325012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -456524\/91 - -1291402884\/257257. Let h = 14\/1191 + 7121\/306087. Let g = h + q. What is the common denominator of g and 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/6 and 81\/662.\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 3*t**2 - 5*t - 6. Give r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5456884415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4339 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.97 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 114874760 divided by -38038?\nAnswer: -3020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 84353 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1932 divided by -120\nAnswer: -161\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5872 + 5872 + 2166*m)*(0*m + m - 3*m) in the form b + y*m + z*m**2 and give z.\nAnswer: -4332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t + 4*t + 3*t)*(-1 + 0 + 0)*(2 + 1 - 2)*(-1 + 1 - 1) as m + h*t and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3412 - -79.5812. Let z = w + -78. Round z to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u + 7*u + 3 - 7 - 6. Let o be b(6). Let w(j) = 2*j**2 - 6*j - 4*j**o + 7*j + 3*j**2. What is w(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 1357*t - 1360*t - 2*p, 2*t + 17 = 5*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 47. Let b = -46\/3 - w. Is b < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*u - 754 + 187 = 33*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + -17 + 19 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25914169319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 7*v - 18. Let w = v + -4. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 37*h**2 - 34*h - 66. Let f be t(36). Suppose 3*x + f = 3*k + 24, -4*k - 8 = 0. Calculate the smallest common multiple of x and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 10, 35, 78, 145, 242, 375, 550?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + ((-92)\/6)\/((-2)\/(-3)). Let h be 42\/(-4)*14\/o. Suppose -10*m + 267 = -h*m. Calculate the remainder when m is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 - -98. Suppose q = -n - 10, 3*q + 8*n - w*n + 38 = 0. What is the units digit of ((-10)\/8)\/(q + 671\/112)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(605)*1)**2 - (-4 + (sqrt(5) - sqrt(45)) + sqrt(5))) + -4.\nAnswer: 2*sqrt(5) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1479 - 2341*f**2 - 1931 + 3716*f**2 - 2826 + 3784*f**2 wrt f.\nAnswer: 10318*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18770, -37330, -55798, -74174, -92458, -110650, -128750?\nAnswer: -146758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7722 and 7236.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*w + 10, -w + 1 = -2*x + 5. Suppose 3*o - 20 = -x*o. Let b = -2 + o. Calculate the least common multiple of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1\/5 (b) -1 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*i**2 + 27*i**2 - 74*i**2 + i**2 - i + i + (-6*i + 3*i + 2*i)*(2 - 2 - i) - i**2 + 3 - 3 - i + 2*i**2 + i.\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91548\/35602)\/((-3)\/(-56)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v - 4*o + 72 = 0, 0 = 5*v - 5*o - 310. Suppose -2*n + 4*n = -v. Let j(q) = 2*q - 5. Let u be j(-14). Which is greater: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s**2 - 253*s - 119. What is n(32)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-11 + -7 - 0) - (-5 + (-30 - -6))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*x + 169*x + 340*x + 303*x.\nAnswer: 1014*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 4852528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -200287512.\nAnswer: -200287512.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155 a factor of 89565630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11254, -3952, 3346, 10640, 17930, 25216?\n\"Answer: -2*j**2 + 7308*j - 18560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -14689 + 4*o - 3*o + 14689. Let m(r) = 7*r. Determine 2*m(a) + 4*y(a).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0174965449 rounded to five decimal places?\nAnswer: 0.0175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g - 54. Let h = 28 + g. Solve -3*p + 5*j - 7 = 0, 3*p + 3*j - h = -16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 3:34 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14205.7751 rounded to the nearest integer?\nAnswer: -14206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**2 + 0*n**2 - n**2 - 8*n**4 wrt n.\nAnswer: -192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + p + 1. Let j(m) = -26*m**2 + 863 - 42*m**2 - 6*m**2 + 29*m**2 + 15*m - 848. Give -j(w) + 15*v(w).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 276 - 4138\/15. What is the closest to 1\/3 in 0.5, 2\/21, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12143201 (base 5) in base 16?\nAnswer: -1c2e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -782 + 59441\/76. Calculate the common denominator of 10\/11 and o.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) - 0 - 40\/15. Let l be (2\/4)\/(g\/(-864)). Suppose -10*a - l = -11*a. What is the greatest common divisor of 24 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075 = 33*u - 7*u + 17*u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7*f - 4*f + 82 = 0, -5*s = -5*f - 105. Suppose -s = -8*w + 5*w - 4*u, 38 = 4*w - u. Solve -3 = -3*j, -j + 0 + w = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 45 = 3*i. Suppose 0 = -3*c - 3*g - 4 + 13, 0 = -5*c - 3*g + 11. Let y be c\/(-5) + 843\/i. Round y to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -29, -3\/151, 0.04, 11?\nAnswer: -3\/151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 14 = -17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (27 + -42)) + 29\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 809959 by -3011.\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4390557948 a multiple of 3492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/66*-12 + 106\/(-22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -834, 5, 114, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d = 0, 0 = -k + 5*d + 10. Solve -3*o = -8*o + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77656 + 77529.9412. Let j = y - -126. What is j rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*(-1 + 1). Suppose -15*p = -13*p - 10. Suppose 0*y = -p*y + 10. Solve -2*k + 5*n + 28 = 0, j = -5*k - n + y*n + 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/(-2) - (13 - 11). Let j = w - -16. What is the units digit of (j\/4)\/(1\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s + 15. Let v(l) be the first derivative of l**2\/2 - l + 201. Give d(g) + 15*v(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -11, -5 in decreasing order.\nAnswer: -5, -11, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 11*w**2 + 4*w - 85. Give t(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6533543*m**3*n**2 - 2*m**3*p**3 - 92*m**2*n**2*p**3 - m**2*n**2 + 9*m**2*p**3 - 2*m*n**2*p**2 - 60*n**2 wrt m.\nAnswer: 39201258*n**2 - 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-435)\/(-135) - 4\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419 + 120\/(-28) + 6\/21.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 199?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-49)\/(-17) + 9\/(-153)*-2. Suppose -2*s = k*s - h - 444, 3*s - 244 = -5*h. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 55, 60, 39, -14, -105?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Let i = f - 3. Suppose 2*b - 9 - 33 = i. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 - 5*r**4 - 4*r**3 + (-181 + 12*r**2 + 181)*(2*r - 2*r + 8*r**2).\nAnswer: 91*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(8\/2 - 3). Suppose 3*i - 81 = 3*f, j*f = -3*i + 5*f + 71. Let c = i + -20. Calculate the highest common factor of c and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -12 - (3 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2210 - -3?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13342560 and 476520?\nAnswer: 13342560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1012 - 370. Suppose 378 = 5*w - v. Calculate the common denominator of 21\/11 and -1 - 1*w\/8.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1090\/(-325) + (-2)\/(-13))*-50?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059424813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjynznjnyjnjnnjn. Give prob of sequence jjny.\nAnswer: 49\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 34*p**7\/105 + 7*p**5\/30 + p**4\/6 + 20*p**2 - 3. Find the third derivative of d(k) wrt k.\nAnswer: 1632*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*3*(-1)\/14)\/(6820\/11935).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -618.5 + 618. Let o = 3.1 - 3. Let u = 0.1 + o. Which is the second smallest value? (a) m (b) u (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/20 and 36\/1345?\nAnswer: 5380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -43) + 2 + (-13 - (4 + 11 - 26)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48557 is divided by 16043?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from {t: 3, x: 9, q: 7}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7\/3)*y**(-8)*y*y**(-3\/2)\/(y**(-24)*y) assuming y is positive.\nAnswer: y**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 13*v + 11. Let x be r(0). Let u(i) = 15*i - 123. Calculate the lowest common multiple of 366 and u(x).\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 143*z**2 - 7*z - 20. Let v(h) = 72*h**2 - 4*h - 9. Let c(r) = -5*v(r) + 2*x(r). Find the second derivative of c(y) wrt y.\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24316, 24303, 24296, 24301, 24324?\n\"Answer: d**3 - 3*d**2 - 11*d + 24329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27731841997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2*p + 3260, 2*y + 4*p + 1325 = -p. Let z be ((-40)\/y)\/(2\/5). What is the second smallest value in z, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 19654 - 19696 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**6\/1260 + 121*d**5\/90 - 212*d**4\/63 - 22*d**2 - 32*d. Determine b, given that m(b) = 0.\nAnswer: -848, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/243 and -167\/180?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + y + y + (-5*y - y - y)*(2 - 2 + 1))*(-3*y**2 + 4*y**2 - 3*y**2 + (0 + 2*y + 0)*(-3*y + 6*y - 4*y)) to x + a*y**2 + g*y**3 + j*y and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qma when three letters picked without replacement from mmqmmqqqmqamm?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 53 - 24*k)*(-1 + 3 - 3)*(-9*k**2 - 4*k**2 + 8*k**2).\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 58289?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m - 97. What is the remainder when 58 is divided by y(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05142? (a) -2 (b) 0.4 (c) 0.33 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -495159480 divided by 12378987?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**5 + 2*w**5 + 0*w**5)*(-96 + 1720 - 87).\nAnswer: -3074*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 4*y - 152, 4*s = -y + 574. Let d be (6\/(-2))\/(5 + -6). Suppose 0 = -6*h + d*h + s. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 3*x - 25. Suppose x*p - 18 = 2*f, -f = 3*p + 2*f + 6. Suppose 4*y + p = 5*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2519 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 74394?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 + 172*i**3 - 4030*i**2 - 4200*i.\nAnswer: 2*i*(i - 20)*(i + 1)*(i + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 13*o - 35. Determine x(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 4:44 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61*m + 43*m + 64*m + 10 - 16 - 17*m wrt m.\nAnswer: 151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1176\/189 + 4 + 152\/(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6496 and 5132064?\nAnswer: 148829856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 5 + 0 - 17. Let d(a) = -5*a**2 + 15*a + 1. Let n(q) = 11*q**2 - 30*q - 1. Let t(g) = -13*d(g) - 6*n(g). What is the tens digit of t(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scotolsssscoocoolos. Give prob of sequence tlol.\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002335186 rounded to six decimal places?\nAnswer: -0.002335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - (1 + 3))\/((-2)\/38). Let h(i) = -5*i**3 - 19*i**2 + 6*i + 40. Let j be h(a). Round j to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(625)*4)\/(sqrt(20)*6).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 259 + -100. Let c be p\/159 + 1 + (-26)\/16. What is the second smallest value in -4, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m - 0. Suppose m*j - 15 + 3 = 0. Let a = -1 - -3. Solve a*r - 4*y = -j*r, -3*r = -y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2))**36*j**(-2)*j*j*j\/(j*j**4*j)*j*j**(-2\/15)*j\/(j\/(j\/(j*j**(4\/9)*j*j*j)))*(j\/(j\/(j\/j**0)))**(-1\/29) assuming j is positive.\nAnswer: j**(13556\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*1 + (674914\/(-36) - -1). Let g = j - -18753. Find the common denominator of g and 26\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 5:17 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 222 (c) -1\/4 (d) -4 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 = 2*r. Suppose 5*d - r*v - 240 = 0, -2*d + 81 = 2*v + v. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + g - 2, -5*v = 3*g - 3. Suppose -5*h + 14 = -v*t, 2*h = 3*t + t. Solve -t = -4*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 625, 1249, 1873, 2497, 3121, 3745?\n\"Answer: 624*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 2*d + 1)*(-18 - 2*d - 124 + 143) in the form n*d + i*d**2 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x**4\/15 - 326*x**3\/15 + 80*x**2\/3 - 88*x\/15 = 0.\nAnswer: 0, 2\/7, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 - 1. Suppose 0*l = 6*l - 18. Which is the fourth smallest value? (a) l (b) g (c) -1\/25 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 11*h**2 - 11*h + 12. Let n be j(10). What is the fourth biggest value in n, -1\/6, -1.1, -0.4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -7. Let c = v + 6.0000021. Round c to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 186*z - 186*z - 207*z - 890*z**2 + 577*z in the form p*z + a + l*z**2 + d*z**3 and give l.\nAnswer: -890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 19*v**2 - 22*v - 24.\nAnswer: -(v - 4)*(v - 3)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 48. Suppose 0 = -4*i + n - 4. Solve -5*g = -i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*y = 70249 - 21376, -2*h + 5*y = -19566. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -5. Suppose g*y - y = 0. Solve w - o = -y*w, 0 = -4*o - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*p + 21*p - 24. Let n = p + -3. Suppose 3*l = 2*l + 10. Solve 0*z = -n*z - l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15362 - 13?\nAnswer: 15349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-5))\/(6\/495). Let c(n) = -n**2 - 5*n + 2. Let q be c(-4). What is the greatest common factor of k and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -996*b - 557*b - 22272 - 8788 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/(-30) + 2\/(-5). Suppose -s*w = w. Suppose 0*q - 4*q = w. Sort -5, -2, q in decreasing order.\nAnswer: q, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -201 + 201. Solve 3*x = -4*a + 16, -2*x - 2*a + 2 + 6 = u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 - 1223.\nAnswer: -1222.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5783142545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2865634 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 114 = -296. Let d(z) = -11*z - 62. Let s be d(18). Let o = s - c. What is o rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - -5.03. Let m = -5.075 + l. Let i = 0.033 - m. Round i to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + d - 454 = -432, -3*d - 26 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 120 = -9*l. Solve 0 = 5*w + 4*m - 26, 14 + l = w + 5*m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -8.1, -4, -50?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 267\/18 + 25\/(-30). Suppose 0 = -z*h - 1474 + 6304. Does 39 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {g: 3, l: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -34 + (-3)\/(8 + -5). Let v(r) = r**2 + 22*r + 176. What is the units digit of v(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 20a68?\nAnswer: -20a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-304227)\/(-45) + 0 + 2\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -46*c**2 - 13*c - 34. Let v(w) = 37*w**2 + 11*w + 33. Let j(g) = 4*d(g) + 5*v(g). Determine j(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7385438 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*b - 0*l - 24, 3*l + 22 = b. Let w(o) = 0*o - b*o**3 - 1 + 3*o + o**2 - 3*o. Let g be w(-1). Let y(a) = a - 17. What is y(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 544 and 46512.\nAnswer: 93024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -26*v**2. Let m(a) be the second derivative of 6*a + 0*a**2 + 2\/3*a**3 + 5. Determine p(m(k)).\nAnswer: -416*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.5 - -16. Let t = -4 - p. Round t to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 663*i - 2. Let k(l) = -655046*l + 1977. Let n(f) = -1977*g(f) - 2*k(f). Let u(h) = 2*h. Determine u(n(x)).\nAnswer: -1318*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1709, -1212, 131, 2740, 7035?\nAnswer: 13436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11813 - -11800 - (-2 - (-59 - 1)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*u - 0*t + 16, -u - 2*t = 0. Let w(k) = -188*k**2 - 3*k - 7. Let q be w(u). What is the units digit of q\/(-49) + 4\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24384681 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -0.4, -24.\nAnswer: -24, -0.4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 705470254 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + -2 + 63\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + 2 + 5 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 3*h**2 - 6*h + 7. Let b be g(4). Let c be 170\/60 + b\/(-6). Solve 6*s - 25 = 2*s - 3*j, -c*s + 4*j = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31538.\nAnswer: 2, 13, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 18*w**2 - 10*w + 54. Let q(r) = 3*r**2 - 2*r + 11. What is 2*k(v) - 11*q(v)?\nAnswer: 3*v**2 + 2*v - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4 - 11. Suppose -4*v + 4*r = 8, 0 = -v - r - 4 - 0. Let m = a + v. Sort m, -1, -5 in ascending order.\nAnswer: -5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2310 and 630?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 - 134. Let v be (5 + 0)\/(218\/(-9026)). Let b = 207 + v. Which is smaller: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 41. Let w = 1.421 + -1.621. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 72\/20 + (-14 - -10). Let q = -46.921 + -0.079. Is h at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 645 + 12. Let b be ((-8)\/12 - -1)*k. What is b rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.0549 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 13023320?\nAnswer: -13023331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001014071936 rounded to 5 dps?\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -132 + 131.31. Let v = 0.01 - x. Let i = 10389 + -10389.2. Which is the smallest value? (a) i (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/12112398 and -131\/2214?\nAnswer: 1489824954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1957, 3914, 5871, 7828?\nAnswer: 9785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*b - b. What is the third derivative of 5*d**b + 0*d + 3*d**4 - d**4 + 0*d wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-8) - 9\/(-2). Solve -2 + 12 = y + 2*a, -3*a + 20 = w*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000589 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -11.6. Let v = h - 3.4. What is the nearest to 1 in 0.2, -0.1, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from fcuxdjd?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72880 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*v - 10 + 4 + 6, 196 = 20*p - 2*v for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -807*l**3*t**2 + 5*l**2*t**3 - 14*l**2*t - 66*l*t**3 + 2*l*t**2 + 5*l*t - 55*t wrt l?\nAnswer: -4842*l*t**2 + 10*t**3 - 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23\/7 - ((-416)\/112)\/(-13). Suppose -t + 514 + 1131 = r*p, 0 = 2*p + 5*t - 1088. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 749b27c + -1?\nAnswer: 749b27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, v: 5, c: 8}. What is prob of sequence cnn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-20) - -2)\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)\/r)**43\/(r*r*r**(2\/11)*r)**(6\/19) assuming r is positive.\nAnswer: r**(-64799\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158781124 by 4.\nAnswer: -39695281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 9 - 24*c + 5 - 15.\nAnswer: -24*c - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7596 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565779 is divided by 1088.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -9. What is the first derivative of 14*w + x*w**4 - 31*w - 7 + 17*w wrt w?\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19551 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14\/9)*f*f)\/f**(3\/10) assuming f is positive.\nAnswer: f**(13\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 4972*c**2.\nAnswer: -4972*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114912379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 17*l + 52. Determine w(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 8 = -4*k - 14 - 7, -2*k - 2*r + 8 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 666 and 4514.\nAnswer: 40626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otltrltytttlrlla. What is prob of sequence ylrt?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 90 = 5*t. Suppose 1114 - t = w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/396080 and -67\/1029808?\nAnswer: 5149040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1508 + (0 - -19) + -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -254.444 + 255. Let v = j - 0.256. Let f = 2.05 + -0.05. Which is the closest to v? (a) f (b) 3\/2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-14) + (3\/(-24))\/(1\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.7 and 2201157855.\nAnswer: 2201157855.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101147, -101114, -101081?\nAnswer: -101048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/9 + 119\/21. Let q be 2\/(-76)*n + 54\/152. Factor 0*v**3 - 1\/2*v**2 + 0*v + q + 1\/4*v**4.\nAnswer: (v - 1)**2*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2251 (base 9) to base 12.\nAnswer: b6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-8)\/x)*x\/(x\/x**(-3\/7)))**(-12) assuming x is positive.\nAnswer: x**(-804\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -102121010 (base 3) to base 4\nAnswer: -2010012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from xmrhhmrmmjrrrhr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127165 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 4780*n - 47751. Calculate q(-10).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w = 112*w - 54*w - 300 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129721 is divided by 364.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 43*v - 7. Is s(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 18*v - 135 = 0. Let p be -4 - 2\/(-2) - (v + -32). Let y(w) = 8*w + 12 - 4 - w + w**p + 4*w. Calculate y(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a factor of 53409590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 362 + 366. Let x(j) be the second derivative of 3*j**5\/20 - 5*j**3\/6 + 7*j**2\/2 + 2*j. What are the prime factors of x(c)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11*r + 41. Suppose -c = -14*d + 17*d - 15, 0 = -2*c - d + 45. List the prime factors of h(c).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17573, -70292, -158155, -281162, -439313, -632608?\n\"Answer: -17572*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 936 by 156.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -348340 and -3078?\nAnswer: 345262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 10008296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + -3 + (10 - 0 - 4). Let r = -0.5 - -3.5. Let v = -4 + r. What is the third biggest value in 4\/9, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8783673 nanograms to kilograms.\nAnswer: 0.0000000000008783673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -221, -337, -469, -623, -805, -1021, -1277?\nAnswer: -1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 199 - 52. Suppose 17*u = 14*u + g. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a4 + 3?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 6*u + 30. Do 10 and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 14. Calculate z(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(153)*-2 + -2)**2 - sqrt(68)\/(-6*sqrt(28)\/sqrt(7))).\nAnswer: 145*sqrt(17)\/3 + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -223 divided by -541\nAnswer: 223\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (15938\/(-10))\/(-9 - 484\/(-55)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-10)*(-648)\/7290)\/(4\/(-216)*-28).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*g - 842 + 278. Solve 9*x = g*x + 2*b - 16, 3*b = -x + 3 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 11*r**3 - 6*r**2 - 7*r + 4. Let i(x) be the second derivative of -11*x**5\/10 + 13*x**4\/12 + 5*x**3\/2 - 9*x**2\/2 - 1651*x. Calculate 13*c(b) + 6*i(b).\nAnswer: 11*b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -307 + 305. Calculate the remainder when 218 is divided by ((-1)\/v)\/((-11)\/(-220)*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/5 + 26*t**3\/5 + t**2\/5 - 26*t\/5.\nAnswer: -t*(t - 26)*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50185.\nAnswer: 5, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1889826963 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by 478509?\nAnswer: 91\/478509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r + 8. Give i(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1534*m**5 - 2244*m wrt m.\nAnswer: 30680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 24*y**4 - y**2 + 4*y**2 - y**2 - 7*y - 1 + 6*y to the form j*y**2 + z*y**4 + t*y + h*y**3 + s and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5}. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 3)\/((-144896)\/48299 + 3). Let n be 2087*(v - 0) + 3 + -4. Suppose -m - m - 8 = 0, 4*d = -3*m - n. Round d to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50 from 0.9038.\nAnswer: -49.0962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, b: 1, a: 4, t: 2, y: 1, g: 2}. Give prob of picking 2 k, 1 y, and 1 g.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48.8036 in 2, 1, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5324 and 1364?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16385*d - 150. Suppose 757 = -3*q + 727. Let i be t(q). What is i rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -42*y - 166 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o**2 + 13660*o + 5460 = 0. What is o?\nAnswer: -546, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kggkkgggggk. What is prob of sequence kg?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14942\/1320 + (-2)\/5. Let s = i - 13\/660. Calculate the common denominator of s and -45\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/675 and -173\/2700.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + (sqrt(243) + sqrt(243) + 0)*-2)*3 + 1).\nAnswer: -6 + 648*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -9.928. Let j = 3.972 - i. Let r = j + -4. Round r to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*f - 51 = -2*a, 0 = 3*a - 4*f - 133. Let s = a + -69. Find the common denominator of s and 21\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 13 + 17. What is the units digit of (-38)\/(-3) - 4\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhmmchhmhhc. Give prob of picking 2 c and 1 m.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 554, 0, 8\/5, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51334 (base 6) to base 11.\nAnswer: -5146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, z: 7, y: 4}. Give prob of picking 1 z and 3 l.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*j - 31*j + 24*j)*(-j - 3*j + j - 3*j + 6*j - 2*j + (2*j - 2 + 2)*(6 - 4 - 1) + 3*j - j + 0*j).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 13*s**3 - 18*s**2 - 12*s - 5. Let p(k) = 9*k**3 - 9*k**2 - 6*k - 3. What is 3*l(o) - 5*p(o)?\nAnswer: -6*o**3 - 9*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.11, -0.06, -247, -0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12067 is divided by 482?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 2*i - x + 51, 34*x - 33*x = -3*i + 25 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 7*m + 180 = 0. Let h = m + 62. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22065 + 1?\nAnswer: 22066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -16. Factor -2*t**g - 47*t**2 + 46*t**2 + 1 + t**4 - 1 + 2*t.\nAnswer: t*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/28520 + -17109\/28520. Which is the closest to -5\/4? (a) -2\/7 (b) -77 (c) 1\/9 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 13*c**3 - 42*c**2 - 15*c + 25. Let u(x) = -37*x**3 + 121*x**2 + 45*x - 73. Let j(f) = -17*n(f) - 6*u(f). What is j(13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368\/30443 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 151, 1, -4, 13, -20, 4 in descending order.\nAnswer: 151, 13, 4, 3, 1, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.003946+18\nAnswer: 17.996054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {l: 1, b: 4, e: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 24*r + 4 - 26*r - 8 - 5. Let c be k(-6). What is the lowest common multiple of 12 and 2\/(-4)*(-5 - c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47256 is divided by 482.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31443 = 9*a - 103380. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5 + 8*l - l + l - l**2. Let o be z(8). Differentiate 67*m**2 + 6*m**3 - 67*m**2 + o wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -593522.128 to the nearest ten thousand.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106 + -106. Let h be 18\/(-20)*(-150)\/90. Sort f, h, -2, -3 in descending order.\nAnswer: h, f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7)*g*g**(-4\/7))\/(g*g*g*(g**0*g)\/g)**(-31))\/(((g**(-4\/7)*g)\/g*g*g**(2\/11))\/(g\/g**1)**(2\/5)) assuming g is positive.\nAnswer: g**(7125\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -248\nAnswer: -3\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*a**2)*(-1 - 3 + 1)*(-11 - 40 - 19) in the form l*a + g*a**2 + i and give g.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 - 2*b**3 - b**3 + 42 + ((5 - 5 + b)*(-4 + 3 - 1) - 35*b - 131*b - 24*b)*(0*b + b + b**2 - 2*b**2) in the form y*b + x*b**2 + q + h*b**3 and give x.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w**2 + w**3 - 13*w**2 - 6 + 7*w**2 to the form u*w**3 + d*w**2 + i*w + c and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 2 = 4*u. Let n(s) = -u*s**2 - 1 - 8*s + 3*s**2 + 9 + 3. List the prime factors of n(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 96\/18) + (-32)\/(-6). Suppose 5*y = -z*q - 25, 17*q - 20*q = y + 13. Are y and 20\/63 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 596 - 50 = 4*h, -h - 5*n = 145. Let g = h + 165. Solve -3*t + g*s = t - 22, 0 = 2*t + 3*s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 88?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 + 665 = 50*a + 659 - 1535 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*d - d. Calculate the highest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/35)\/((-4)\/(-50)). Let l = d + -5. Solve l*j + 0 = 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -32 (b) 0.03 (c) 26 (d) -34\/3 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q - 5. Let a(s) = -5*s - 1 - 6*s - 8*s + 20*s. Determine 5*a(t) - d(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -4.3. Let o = -221065\/6 + 36844. Which is the second biggest value? (a) -4 (b) y (c) o (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 381 = 3*s, -2*o + s = -5*o + 223. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c. Let t(w) = -2*w - 3. Let y(b) = -40*b - 56. Let q(j) = 8*j + 11. Let p(d) = -16*q(d) - 3*y(d). Let i(r) = 3*p(r) - 8*t(r). Give i(g(m)).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 27. Let l be (4 - 3)\/(-1)*k. Suppose 4*y = 41 - l. Calculate the remainder when y is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*b**3 - 13*b**3 - 4*b**2 - 10*b**3 + 11 + 6*b**2 to the form m + i*b + v*b**2 + k*b**3 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58 and 20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.06 * 0.5.\nAnswer: -2.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 7*y**2 - 9*y - 7. Let n be i(-8). Let r(j) = -j + 7. Let o be (-28)\/21 + (-2)\/3. Let p(a) = a + 1. Let w(h) = n*r(h) + o*p(h). Calculate w(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84961 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160509*s**2 + 77400*s - 2?\nAnswer: 321018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4802 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*q + 4*l, 8*l - 11*l - 15 = 0. Solve q*g + 15 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - f + 58 = -4*r, -4*f - 3 - 5 = 0 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2, 0*z - h + 19 = 5*z. What is the derivative of 91 + 759*m**3 - 5*m**z - 759*m**3 + 4*m**2 wrt m?\nAnswer: -20*m**3 + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyi when three letters picked without replacement from {w: 1, y: 1, e: 1, i: 1, o: 1, u: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4784\/(-46046))\/((-4)\/7)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2309 - 2307. Solve 3*o - 2*a = 0, 4*o - p*a + 0 = -2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 557716 + 484?\nAnswer: 558311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.5 - -2.5. Let v = -6 - y. Let m = v - -17.0104. Round m to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39680000 rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*r - 212*r = -36 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -63.9838\nAnswer: 6.39838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11333*b - 11587*b - 7366 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 4. Which is the third smallest value? (a) 0.4 (b) r (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000000001100111 - -101?\nAnswer: -1001000000001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6911*n + 6943*n - 20803*n + 37 - 74 + 37 + 6951*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - m = 3, 0 = -3*d + 5*m - 1042 + 1126 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 12, 34, 4\/7 in ascending order.\nAnswer: 4\/7, 4\/3, 12, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c = -16*c - 8, w + c = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/17))**17\/((o*o*o**(-2\/21)*o)\/(o*o**2\/o)))**(-20) assuming o is positive.\nAnswer: o**(-460\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 653884304 to the power of 1\/2, to the nearest integer?\nAnswer: 25571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o - 4*o - 6*o)*(1346*o - 1346*o + 68*o**2) + (1 - 4 - 1)*(-5 + o**3 + 5).\nAnswer: -140*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*d - 315 = 38*d. What is the remainder when 54 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*u - 319, -2*u + 5*t - 303 = -82. Let r = u - -116. Calculate the highest common divisor of r and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32462941?\nAnswer: 7, 241, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 8 (b) 16\/7 (c) -50.51 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 16 = -4*h. Suppose -x + 26 = -4*v, 0*x = h*v - 2*x + 24. Let s = v - -12. Which is smaller: -1\/2 or s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 13 = q, 4*j + 3*q - 18 = -0*q. Suppose -2*u + j*u - 3 = 0. List the prime factors of u\/(-5)*(-60)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -5, -688.303, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 29. Let w = -34 + l. Solve w = -p + 5*p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 12 = -2*q. Let y(t) = -t. Determine y(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5359902182 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(19) - sqrt(304)*1)**2.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*5\/(-2)*(9 + -17). Put -2, 30, j in ascending order.\nAnswer: j, -2, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -23.87. Let t = j + 0.03. Let l = -3 + 2.7. Which is the smallest value? (a) 2\/3 (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/5)\/z)**(-2\/25))**5*((z*z**0\/z)\/z*z*z**4*z)\/((z**3\/z*z*z*z)\/(z*z\/(z\/(z*z*z**0*z))*z*z)) assuming z is positive.\nAnswer: z**(154\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949 is divided by 238.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6485102 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60930 = 4*v + 2*t, -194*v + 189*v + 76143 = -4*t. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 7 + 0*f**2 + 0*f**3 - 6*f + 6\/5*f**5 + 0*f**4. Differentiate v(s) with respect to s.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.1 + 15.6. Let t(z) = 4*z - 1. Let y be t(1). Suppose g = 2*h - g + 16, 5*h = -y*g - 8. Sort 2, s, h in decreasing order.\nAnswer: 2, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 55 - 49 = 2*b, -2*s - 5*b + 51 = 0. Let w = 22 + 3. Suppose -4*o = -3*u + w, -4*u = -0*u - 4*o - 28. Solve -s*f - 6 = u*z + 2*f, -4*f = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/9))**(2\/61)\/(t*t**(3\/5))**(-1\/15) assuming t is positive.\nAnswer: t**(1514\/13725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 2*d - 3*k, d + 4*d = 4*k + 171. Let r = -18 + d. Suppose -r = -3*w + 4. Calculate the greatest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.199 - 12.199. Which is the closest to 0.1? (a) 0 (b) -20 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - sqrt(420)\/sqrt(7))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-5))\/(6\/20). Solve j + 7 + 1 = t*q, -3 = -5*q + 3*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010000000010100 + -10010110110?\nAnswer: 100001101101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 37 (b) -6 (c) -3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2314012237 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*k**2*q + 2*b**2*k*q + 6*b**2 - 2*b*k*q - 32*k**5*q - k**3 wrt k?\nAnswer: 6*b**2*q - 640*k**3*q - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 12. Suppose -2*z + 21 = x. Let s(p) = p**3 - 5*p**2 - p + 5. Let j be s(z). What is the nearest to j in -1\/3, -2, 13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 2*b**2 - 5*b**2 + 13*b**2.\nAnswer: 10*b**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78764809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21866*o**4 - 633*o**2 + 70*o.\nAnswer: -524784*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 2. Let x be z(-7). Suppose 0 = 2*v - x + 3. Suppose 3*h - 4*n = 3 + v, 3*n = -5*h + 10. Solve -c = -3*a - h, a = 2*c - 3*a - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.46604 - 0.01854. What is c rounded to two decimal places?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71840 and 320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1154 in 0.4, 1, -1.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 5:01 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 - -228. Let o = -44 + h. Calculate the highest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37195 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**4 - 240*z**3 - 3044*z**2 - 5808*z + 9088 = 0.\nAnswer: -8, -4, 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4859, -4808, -4723, -4604?\n\"Answer: 17*l**2 - 4876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**6\/60 + 4*y**5\/5 - 55*y**4\/4 + 242*y**3\/3 + 167*y**2. Factor q(h).\nAnswer: -2*(h - 11)**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -3\/5, 0.1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/7 = 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 160 in 3, -3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.05423*1\nAnswer: 0.05423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.2 + 14.3. Let l = 27 - k. Sort l, -1, -5.\nAnswer: -5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*u + 8 = -4, 0 = n - 5*u + 3. What is the hundreds digit of (-9)\/n + -4 - -1051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4097\/11 + 606719\/1628. Calculate the common denominator of b and -3 + (-267)\/(-66) + (-5)\/1.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7 = -28. Calculate the highest common divisor of 14 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**2 + 1 - 4*g - 2*g + g + g**3. Let i be u(-6). Let j(n) = n**3 + 5*n**2 + n + 2. Calculate j(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54522154 (base 6) to base 14.\nAnswer: 305578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5606 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2645*u**2 + 253*u. Let s(y) = 21*y**2 - 2*y. Calculate -2*k(f) - 253*s(f).\nAnswer: -23*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 9685512225*v**5 + 21093028807455*v**4 - 4392614737980*v**3 + 35200639600*v**2 - 95701280*v + 87120 = 0.\nAnswer: -2178, 2\/729, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -860*f**2 + 8*f + 3. Let q(o) = 430*o**2 - 4*o - 2. Let l(i) = -6*m(i) - 11*q(i). Let a be l(2). Let s = 2759 - a. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47642471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5\/3)*f*f*f**(-16))**(-25\/2))**(4\/5))**(-10\/13) assuming f is positive.\nAnswer: f**(-4700\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005599503 to 5 decimal places.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -440.\nAnswer: -1\/440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 98119 (base 11) in base 12?\nAnswer: 6a5ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*o**3 - 218*o**2 - 256*o**3 - 323*o**3 - 195*o**3 wrt o?\nAnswer: -4422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 2\/3*f**3 + 13*f - 2 - 11\/36*f**4 + 1\/15*f**5 + 18*f**2 - 1\/180*f**6. Let m(t) be the first derivative of i(t). Factor m(a).\nAnswer: -2*(a - 3)*(a - 2)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 136 = -4*l. Let o = l + 43. Let x(d) = -3*d**2 + 6*d**2 + o*d**2. Let n(k) = -2*k. Calculate n(x(b)).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -14. Let z = a + 10. Solve 3*g = 4*x + 6, 5*x = 3*g + 2*g - z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s = 45*s - 531 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 26*r**2 + 28*r + 30. Let m be l(27). Let a = m + -48. Suppose -5*s - 26 = -36. Solve -5*d - z = -0*z - a, -s*d + 2*z = 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 1 - 1)*(-3 + 0 + 1)*(-2*k + 2*k - 2*k**3) + (2*k + 0*k + 0*k)*(-7*k**3 + 4*k**3 - 7*k**3) + 4*k**4 - 40*k**2 + 40*k**2.\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whrhjhshrhrhwrhwj. What is prob of picking 2 j?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -33. Suppose 0 = h*q + q - 70. Let y be 8\/(-6)*(-21)\/q. Solve -9 - 1 = -2*g + y*a, 4*g + 5 = -a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2419951 - 42?\nAnswer: -2419993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 2\/161, 3\/5, -2\/9, 15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7463342953 to the power of 1\/3, to the nearest integer?\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*g - 21 - 5 - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.16, -9\/4, -16?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, r: 7, g: 6}. Give prob of picking 4 r.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 90 = -7*r - 132. Let g = 54 - 30. Is 6826\/8 - r\/g*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19 - -3*1\/(-3). Let q be 2\/(-4)*6 - 14. Let c = v + q. Sort 0, c, 2 in ascending order.\nAnswer: 0, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*(i*i*i\/(i**8\/i))\/i*i**13 assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 6\/(1 - 7). Let u be (0 - 1)\/(s\/250). Which is smaller: u or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4539 + 8104. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 0*k**4 - 1\/510*k**5 + 0*k + 0 - 1\/1020*k**6 + 1\/2856*k**8 + 1\/1785*k**7 + 0*k**3 - 43*k**2. Factor f(p).\nAnswer: 2*p**2*(p - 1)*(p + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8245\/24 - -2745\/8. Suppose -3*i - 3*b + 6 = 0, -i - 16 = 2*b - 7*b. Is q > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 times 606?\nAnswer: 145.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4095 and 2610.\nAnswer: 237510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eab when three letters picked without replacement from {a: 1, b: 1, v: 2, g: 1, e: 1, u: 2}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 657 = -26*c - 63 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000043 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25942987193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -m - 5, 2*x - m = m + 10. What is the third biggest value in 1\/3, x, 5, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 876.6726 days?\nAnswer: 75744512640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6496*-101959.\nAnswer: -662325664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:57 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*(-8 + 8 + i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -354.055 - -352. Let z = -0.045 + i. Round z to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + g - 1. Let j(l) = 6*l**3 - 3*l + 6. Suppose -3*p - 20 = 2*u - 5*p, -5*p = -4*u - 45. What is u*s(o) - j(o)?\nAnswer: -o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 2*g - 9. Let t be c(-9). Suppose 17*w = 20*w - t. Find y such that -3\/2*y**3 - w*y + 12 + 9*y**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 5:40 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-14) - (-330)\/70) + -20. Suppose 0 = p - 15 - 15. Let w be p\/l + -4 + 1. Put w, -3, 0 in decreasing order.\nAnswer: 0, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 126*d**3 - 5*d**2 + 8*d - 7. Is q(5) a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/18 (b) -3\/8 (c) -0.1 (d) 4 (e) 4\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638583284?\nAnswer: 2, 167, 955963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1285, -3, -1\/8, 4, 0 in decreasing order.\nAnswer: 4, 0.5, 0, -1\/8, -3, -1285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 3*n**2 + 2. Let c be u(-3). Let h = -3 - c. Let f be 20\/8*(-4)\/h. Solve -6 = -0*g - 3*g - 3*r, -5*r + 1 = f*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4068, -4056, -4048, -4044, -4044, -4048?\nAnswer: -4056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-4))\/((-105)\/(-168)). Let t = -0.51 + 0.25. Let u = t - 0.04. What is the nearest to k in -4, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 113 (c) -0.1 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5873 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3) - 2\/(-3). Let b be 63\/(-14)*(-4)\/6. Let z be -8 - (t - b)*2. Is z >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1248 in -0.5, 3\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (42\/(-7))\/(-3 + 1). Let s(p) = -77 + r*p + 80 + p. Determine s(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**3 + 129*a**2 - 49*a - 40084 wrt a?\nAnswer: -6*a**2 + 258*a - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-7)*1*(-25)\/(-15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 + 755253*v**2 + 4*v**3 - 755253*v**2 + (2*v + 0*v - 4*v)*(3*v**2 + 2*v**2 - 7*v**2) to the form x*v**2 + a + g*v**3 + c*v and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 0*y - y)*(-2 - 4 + 22)*(-y**3 - 3*y**3 + 6*y**3).\nAnswer: 96*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 3. Let j be 0\/(2*s\/(-4)). Suppose j*r + 4*w = -r - 12, 0 = 3*r - 3*w - 24. Solve 2*t - 2 = -r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -82 + -345?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3823344, 7646690, 11470036, 15293382, 19116728, 22940074?\n\"Answer: 3823346*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 210222 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-7)*4 + 0. Is 2 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 v when three letters picked without replacement from vnviniii.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {s: 2, g: 4, f: 10}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180530 and 35?\nAnswer: 180530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3082 + 3083. What is the closest to 109 in 1\/2, h, 2\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 10:12 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.3 (b) -0.1887 (c) 3.3 (d) 4 (e) -5 (f) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4161?\nAnswer: 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 1. Let s(d) = -22*d. Let q be s(-1). Let w(n) = 10*n + 11. Let f(x) = q*j(x) + 2*w(x). Let r(l) = 3*l. Determine f(r(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 0 + 4 - 3. Let j(p) = -p**2 - p - 5. Let b(g) = -g**2. Let w(l) = -3*b(l) + j(l). Calculate w(s) + 5*x(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awazzzzw. Give prob of sequence wzw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -83, -459, -1181, -2243, -3639, -5363, -7409?\n\"Answer: u**3 - 179*u**2 + 154*u - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31181 less than 31182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 7:24 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -8.3. What is the nearest to -1 in -1\/5, -5, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -51, -264, -837, -1950, -3783, -6516?\n\"Answer: -30*g**3 - 3*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1 = -11. Suppose 3 = -j*h + 4*d - 9, -6 = 4*h - 2*d. Let q = 6 + -4. Which is the closest to h? (a) q (b) -0.4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4699750246.\nAnswer: 2, 61, 461, 83563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {q: 1, o: 4, n: 1, d: 2, g: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*t + 2 + 1, 0 = -5*k + 5*t - 15. Let y = 2 - k. Let z be (y\/4)\/((-3)\/(-66)). What is the highest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/1279 + -79460\/103599. Let m = -12809\/5634 - 4\/939. What is the common denominator of r and m?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 3*t**3 - 4*t**3 - t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 1. Suppose -10 = -5*i + 55. Suppose i = 2*r + 3. Which is the second smallest value? (a) h (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 17*v + 90. Let x be r(-21). Is 8 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1302*k**2 - 66 - 59 - 61 + 208.\nAnswer: 1302*k**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 5*d**2 - 144*d - 401. What is z(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 2*i**2 - 2*i + i**4)*(0 + 3 + 1).\nAnswer: 4*i**4 - 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1869 and 514509?\nAnswer: 3601563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -72*c**2 - 160*c - 472. Give m(-3).\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/((-68)\/(-224)))\/((50\/275)\/(2\/22)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5322406 + -11?\nAnswer: 5322375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13804 by -17.\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.55, 0.1, 0.5.\nAnswer: 0.1, 0.5, 3.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 34*p - 16082 = -507*p for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 7. Let z = 38 - c. Let g be 0 + -1*(1 + -3). Put -4, z, g in ascending order.\nAnswer: -4, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = 83*d - 2*l, 19*d - 52*d - 5*l = -29*d - 3 - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 515772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l - 20, 4*s - 20 = -2*l. Let h be 31 - 1 - s - 3. Is (-268)\/(-3) - 8\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 g when four letters picked without replacement from {e: 3, p: 12, g: 3}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-15) + (-3446)\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594 (base 14) in base 11?\nAnswer: 91a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b = 54*b - 3584. Calculate the greatest common divisor of 1232 and b.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 8 = -6*j. Let l(y) = 4*y - 6. What is the units digit of l(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 22 + -16 + 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 325178, 650771, 976364, 1301957?\n\"Answer: 325593*a - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 8*l**2 + 4*l + 12. Let c be p(-8). Let v = -20 - c. Solve 4*u - u = v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 8\/4 + (-2 - -7). What is the closest to 2\/5 in p, 5, -5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 9:34 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by (1 - -3)\/(14 + (-2424)\/174)*1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/11 (b) 0.048 (c) -81 (d) 3\/8 (e) 0.2 (f) 2 (g) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12227455?\nAnswer: 5, 59, 181, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-6)*-2*3\/(-3). Suppose -5*g = 5*f - g - 90, -k*f + 4*g + 50 = 0. What is the smallest common multiple of f and 58?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-6))\/((-1)\/2). Sort b, -3, 1, 4.\nAnswer: -3, b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, 119, 452, 1105, 2186, 3803, 6064?\n\"Answer: 18*t**3 - 2*t**2 + t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 + r**4 + 2*r**2 - 54 + 27*r + 24*r in the form j*r**3 + w + q*r**2 + a*r + l*r**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - t**2 - 1087*t**4 - 50*t + 542*t**4 + 543*t**4 - t as z*t**4 + i*t**3 + r*t**2 + n*t + o and give n.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2 + 7 - 3 - 13*i - 1 as q*i + v and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2 and 747\/(-48)*(-10)\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11db503 (base 15) to base 14.\nAnswer: -19c58a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 4*i + 2*i)*((3 - 2 - 5)*(-3*i + 2*i + 3*i) + (5 - 7 + 6)*(-3*i + 3*i - 3*i)) - 2*i**2 + i**2 + 3*i**2.\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -45. What is the nearest to -0.07 in -3\/7, 1\/2, s?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z - 15. Let i(l) = -4*l - 7. What is 5*i(s) - 2*n(s)?\nAnswer: -2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 103*t**4 + 8*t**3\/3 - 206*t**2 - 8*t + 1245. Factor o(d).\nAnswer: 4*(d - 1)*(d + 1)*(103*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 902 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**3 - 12*t**2 - 5*t + 6. Let l(k) = k**3 + k**2 + k - 1. Calculate -5*l(h) - r(h).\nAnswer: h**3 + 7*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1, -4, -1812, 5, -5 in ascending order.\nAnswer: -1812, -5, -4, -0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**3 - z**2 + z - 4. Let o(m) = -1. Let k(j) = 5*o(j) - p(j). What is k(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171719.\nAnswer: 3, 43397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 99369864 divided by 148\nAnswer: 671418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.39036 millennia to months.\nAnswer: 520684.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -359\/752072?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 20. Let m be u(16). Suppose 0 = -3*d + a + 282, 6*a - 6 = m*a. Let f = -23 + d. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -7. Let b = r - 1. Let d be (-328)\/(-28) - b\/(-21). Solve d = -4*n + 4*s, 4*n - 24 = 2*s - 7*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3304 and 4272544.\nAnswer: 29907808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - 126131?\nAnswer: -126103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 6:47 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 5*c - 1. Let n be m(-5). Let i be 4\/n + 15239\/42. What is the highest common factor of i and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55989, -55116, -53669, -51648?\n\"Answer: 287*c**2 + 12*c - 56288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -5 (b) -5\/3 (c) 2\/7 (d) -63 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -47. Suppose 3*b - 9 = 2*d, -2*d - 6 = -4*b + q. Suppose 5*t - 4 + 14 = d, 0 = 3*h - 2*t - 4417. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46215311 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l + l)*(2 - 2 + 2)*(5 - 4 + 15).\nAnswer: 64*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12557 - b8?\nAnswer: 1246c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 10:39 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o. Let u(b) = 33*b - 1. Determine u(v(h)).\nAnswer: 33*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 815570*q*t**2 + 32*q*t + 2500*q - t**2 wrt t.\nAnswer: 1631140*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + n + n = 18, 5*n - 40 = -4*r. Suppose -v = -2*q + 30, -5*q = -10*q - 3*v + 75. Let o = q - 10. Solve -10 - o = -r*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/23509?\nAnswer: -1\/23509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.891\nAnswer: -3.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12570 (base 8) to base 10\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -19. Suppose -210 = -3*h - u*l + 4*l, -5*h - 4*l = -367. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73256 divided by -3\nAnswer: 73256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.717 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1812 is divided by 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1022 divide 27168848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5178750 a multiple of 1976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.37, -2.5, 1108, 2, -0.09, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/2)\/(-3 + 4 + -2). Let j = 888899\/95508 + -4\/2653. Let f = j + -37\/4. Do l and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgkkqkkkqlkqwkwwq. What is prob of picking 2 q and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8410940, -1\/5, -4.\nAnswer: -8410940, -4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 35 = 3*h + p - 29, 0 = -5*p - 25 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*m + 190*m - 128*m + (16*m - 403 + 403)*(-3 + 1 + 0) in the form s*m + q and give s.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -228000 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k - 3. Let a(p) be the third derivative of -27*p**4\/8 - 8*p**3 + 3*p**2. Let m(q) = -2*a(q) + 33*d(q). Calculate m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o**3 - 5*o**2 - 6*o - 4. Let f(y) = -y**3 + y**2 + y + 1. Give d(g) + 5*f(g).\nAnswer: 4*g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-18)\/30*(-160)\/1488?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:58 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 35 - (126 + 16 + -131).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {n: 8, p: 2, t: 1, u: 2, k: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*s + 228 = 40*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -84*w**2. Let v(i) = 3469356*i. What is p(v(b))?\nAnswer: -1011060208597824*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + -0.3. Let y be (-5)\/((-3)\/3)*5. Suppose -10*c = -15*c + y. What is the second smallest value in c, -2\/3, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 390?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmnmmnmnmmnmm. What is prob of sequence nm?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2) + (-14)\/(-2). Solve 14 = 5*n - i, -n + t*n - 13 = -i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 0)\/((-2)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(-1))\/(2*(-5)\/(-2510)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 29658226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 5:26 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*l - 2899 = 0, -l = 1054*i - 1059*i + 2903. Which is smaller: 583 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, 1\/5, -1\/7, 2, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + j**2 - j - 39600006. Let p be a(0). Let c be p\/(-9) + (-6)\/9. Round c to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*q - 16, 0 = 4*q - 0*c - 4*c. What is the remainder when 2\/6 - 224\/(-12) is divided by q\/3 + (-56)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 566025?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (27\/75)\/((-4743)\/2635)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4634 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:57 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 265*z - 261*z - 64 = 0, 4*z = 3*w - 96. What is the highest common factor of 950 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -519391 <= -519394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/9*-3*-1. Let k = 18458 + -18456. Which is the nearest to k? (a) l (b) -0.8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 - 11 = 0. Let t = 28 - z. Factor 4 - 6*h**3 - 9*h**2 + 12*h**2 - 14*h + t*h**2.\nAnswer: -2*(h - 1)**2*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*p - 1, -2*v = 3*p - 0*v + 9. Let h = -8974\/33 + 272. Which is greater: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(1 + (-2)\/(-4)). Let j be z\/10 + 2\/5. Suppose y + j = 3. Sort -5, 3, y in descending order.\nAnswer: 3, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*r - 9*r + 7*r + 8*r in the form g*r + c and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 1\/216 (c) 1\/8 (d) -4 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26665, 29078, 31491?\nAnswer: 33904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/23874 and -67\/12?\nAnswer: 47748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 10 = -1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 16204*y + 243562. What is r(-15)?\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:46 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 13*v**3\/6 - 17*v**2 + 33*v - 23. Let d(a) be the first derivative of c(a). Find the first derivative of d(s) wrt s.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**5 - 7*a**4 - 7*a**3 + 2*a - 7. Let i(z) = z**5 - z**4 - z**3 - 1. Let g(j) = 14*i(j) - 2*s(j). What is the second derivative of g(b) wrt b?\nAnswer: 560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 64.6, -2, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 4) + 2 + -31 + -1 + 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*l - 134 - 2. Let p(t) = 4*t**2 - 22*t + 39. Let u be p(l). What is the highest common factor of 34 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168803 is divided by 166.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18134, -72543, -163232, -290207, -453474?\nAnswer: -653039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/777 and 23\/84?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -1 - (-13 - -20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**3 + 3*m**2 - 3. Let j(u) be the second derivative of 2*u**5\/5 + u**4\/3 - 2*u**2 - 20*u + 12. What is 3*j(r) - 4*p(r)?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-72) + (-94)\/(-12). Let r(o) = 2*o - 13. Let g be r(a). Suppose -g*p + 1 = -2. What is the highest common factor of 3 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150025763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -0.5 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 3, 3\/5, -85?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from gggkgkkwwgggfk?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33546928 and 29353562?\nAnswer: 234828496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(-1920)*(-1860)\/(-527)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + j - 18 = -2*g, 0 = g + 3*j - 12. Let r(f) = 4*f - 5*f + 1 + 4*f**2 + 0*f. Find the common denominator of r(g) and -47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 165*y + 9737. Give o(-59).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 6*k**2 + 23*k - 11. Determine i(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = q - 137 - 29, -5*q = 3*s - 796. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/3 greater than or equal to 318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (500\/(-8750))\/(1\/(-5))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 309385 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2318 + 10967 + 8*m**2 + 2907.\nAnswer: 8*m**2 + 11556","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 9*o**2 + 7. Let u be v(-9). Suppose -2*n - u = -37. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -81. Let k = a + 79. Which is smaller: 8\/19 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-21) - (-3)\/((-90)\/(-20))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83095360 divided by -1298365.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000589154 rounded to six dps?\nAnswer: -0.000589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/7))**(-3\/5) assuming i is positive.\nAnswer: i**(-27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + 17 + 13)\/((1 - 2)\/(-1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2252607 is divided by 486.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 3 (c) 1\/7 (d) 259\/6 (e) 1\/12 (f) -3\/2 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1*2)\/(3*(-4)\/12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89.81988171 - 0.2.\nAnswer: 89.61988171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22723.96 - -23482. Let m = z - 758. Sort 3, -1\/8, m.\nAnswer: -1\/8, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140117985 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54727219 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-336))\/(1140\/266)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*39468368.\nAnswer: 15787347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36398 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**2. Let q(n) = -4*n + 2. Let l(h) = 21*h - 3 - 1 - 7. Suppose -5*g + 15 = 0, -g - 2*g + 15 = -3*f. Let j(u) = f*l(u) - 11*q(u). What is j(v(i))?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 9. Let y be r(-7). Let l be (1 + y)\/((-1)\/(-5)). Suppose c = 3*j - l, -5*j + 5*c + 47 = 12. Solve 2*u + j*f - 7*f - 10 = 0, 0 = -u + f + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvtzt. Give prob of picking 2 t and 1 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 q when three letters picked without replacement from {e: 5, l: 7, q: 1, z: 2, y: 1}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 13 + 22 = 0. Let y = -1 + q. Suppose -1\/4*r**3 + 0 + 1\/4*r**y + 0*r = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) 0.1 (b) -189 (c) -513 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1914.098 and 1.91.\nAnswer: 1916.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 3:31 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -482*r - 259. Is i(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6093\/5 < 1\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -15) + (0 - -2). Suppose 0*n - g = -3*n. Suppose -3*q = -4*o - n*q + 18, -5*o + 24 = 3*q. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -726205.5092 and -1.\nAnswer: -726206.5092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 13 - 21 = 0. Let p = -5.2 + 9.2. Which is the second biggest value? (a) o (b) 3\/2 (c) p (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2 - 17592695*b - 1099742.\nAnswer: -6*b - 17592695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 161109598 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/(204\/16).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -13.79?\nAnswer: 13.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90f (base 16) to base 8.\nAnswer: -4417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*q - 31*q + 1510. List the prime factors of q.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 2.6?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 12*l**2 - 2*l + 5. Let q(k) = -k**2 - k. Let i(f) = n(f) + 6*q(f). What is the tens digit of i(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 32. Let t be m(0). Find the common denominator of (1067\/776)\/(4\/14) and 10\/t - (-1 - -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/14172 and 125\/8177244?\nAnswer: 8177244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 41*t**2 - 377*t + 24. Let r be p(-27). What is the nearest to 0.13 in -0.5, -2\/13, r?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -54 - 62 + h + 116. Let t(k) = -2*k. Calculate -2*l(x) + t(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 61 (b) -3\/2 (c) -0.3 (d) -1 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Suppose 2*r = -m - 12, -3*m = 3*r - n*r - 4. Is (4 + -7)\/(3\/r) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -n - 6*b + 6, -4*b - 26 = -2*n. Suppose 12*w - n*w = 61. Let l = 63 - w. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 1. Let z(a) = 14*a**3 - 7. Let l(v) = -5*w(v) - z(v). What is the derivative of l(i) wrt i?\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 75. Give j(-32).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - -156. Calculate the smallest common multiple of 6 and w\/50*2*5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**2\/19 - 96*j\/19 - 990\/19 = 0.\nAnswer: -33, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 41*d - 4*d - 8*d - 14*d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-4) - -3 - 12\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkkhhphphhhpkhkppk. What is prob of sequence hkh?\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppeepepreppeppepp. What is prob of sequence pr?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 851850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*g*u*v**3 - 17*g*u*v**2 + 25*g*v**3 + 118*g*v + 9*g + 41*u*v**3 + 2*u*v - 2*v**3 - 18*v**2 wrt v?\nAnswer: 708*g*u + 150*g + 246*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5269995 and 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l. Suppose 3*g + 323 = -181. Let q be (4\/g)\/((-2)\/8). Which is bigger: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346462708.\nAnswer: 2, 23, 311, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 16*a + 21. Let m = 34 + -23. Let l(s) be the second derivative of -s**3\/2 - 2*s**2 + 70*s. Determine m*l(h) + 2*w(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-152)\/(-6))\/4 - (-1)\/(-3). Suppose -18 = 4*w - 7*w. Let c be 3\/(-1*w\/(-8)). Solve -c*u - 10 - m = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -0.24?\nAnswer: -3.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -383 - -652. Find the second derivative of 269 - k - 13*j**3 - 8*j wrt j.\nAnswer: -78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Suppose -5*x + 152 = 3*i, 2*i + 0*i = d*x - 104. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**8\/1680 + v**5\/60 - v**3\/2 - 3*v. Let l(a) be the second derivative of j(a). What is the second derivative of l(k) wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.27, -0.13, 40, 90 in descending order.\nAnswer: 90, 40, 0.27, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04772 - 4.15828. Let u = l - -0.006. Let w = u - -4.2000004. What is w rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 10002652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 > -10685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3, -5, 2\/7, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13750 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a**6 - 45*a**4 + 59*a**2 wrt a.\nAnswer: 960*a**3 - 1080*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**9\/504 - y**7\/70 + 2*y**6\/15 + 757*y**5\/6 - 2*y**2 - 223. What is the third derivative of h(a) wrt a?\nAnswer: -120*a**3 - 72*a + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + v + v)*(-125*v**2 - 156*v**2 + 295*v**2).\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -2*r**3 + 4*r**2 - 25*r. Let l(g) = 8*g - 5. Give -5*b(x) - 8*l(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r\/(r\/(r*r*r**(-2))*r*r))\/r)**40)**(-29) assuming r is positive.\nAnswer: r**1160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-124*(-30)\/24))\/(5*(-2)\/20)?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8451309 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 14*z - 3. What is n(-6)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 878 divide 180182282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 31. Let t(w) = w**3 + 6*w**2 - 17*w - 9. Let f be t(a). Let b(d) = -109*d + 2. Is b(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6115 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(1\/5))\/q*q*q)**(8\/17))**43 assuming q is positive.\nAnswer: q**(3096\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = p + 5*v + 37, -v - 286 = 4*p. Let y be (-6)\/3 + 16\/p*-9. Solve y = t - 3 - 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 175*g**2\/8 - 149*g\/4 - 5.\nAnswer: -(g - 20)*(g - 2)*(8*g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -847b - 4?\nAnswer: -847f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16874185753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j + j)*(-2*j**2 + 0*j**2 + 3*j**2) + 2*j**2 + 35*j - 151*j**3 + 153*j**3 - 45*j.\nAnswer: 4*j**3 + 2*j**2 - 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383 + 817 = -15*y. Let v = 49 + 20. Let f = v - y. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2248.5 - 2248. What is the fourth smallest value in -0.2, 79, q, 2\/7?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26656?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 178*2\/(14 + 2) and ((-54)\/(-3))\/((-8)\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7158 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 38*n - 17. Let b(h) = 4*h**2 - 39*h - 18. Let t(g) = -5*b(g) + 6*x(g). Let z be t(-12). Calculate the highest common factor of z and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z - 3 + 8 - 3*z. Let j be w(4). Suppose 3*q + j = y, 3*y + 6 = -4*q + 5. Put -1, 0, q in ascending order.\nAnswer: q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 4 (b) 21 (c) 4\/5 (d) 3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 1\/2 (c) -58 (d) -7\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-7) - (-65)\/7. Let c(h) = -h**3 + 8*h**2 + 10*h - 6. Let g be c(b). Find the second derivative of -v - v**2 + g*v + 0*v**2 wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55558.\nAnswer: 2, 27779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2837011 = 2837011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -745*p = -747*p - 10. Which is the closest to 3? (a) p (b) -1 (c) -3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b - 15. Let v be n(-10). Let k = 39 - v. Let m = k - 9. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 0)**2 + 3.\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 76400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r - 5. List the prime factors of b(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 + 11*b**2 - b + 5. Let n(j) = 2*j**2 + j - 3 - 2*j**2 - 3*j**2 - 3*j**2 + 2*j**3. Let g(a) = -5*n(a) - 3*t(a). What is r in g(r) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 20. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -2, -54, 3, 55, 0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633*t**3 + 0*t**2 - 1233*t**3 - 7*t**2 + 203*t**3.\nAnswer: -1663*t**3 - 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 498*l - 1988. Let g be a(4). Sort -2, 12, g, 5.\nAnswer: g, -2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 - 394\/(-3). Suppose -4*s + 2*n - 274 = c, 501 = -5*s - 4*n. Let x = -66 - s. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 82 + 403?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*q*s**2 - 5*q*s - 848*s**2 wrt q?\nAnswer: -47*s**2 - 5*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 910 = -3*w + 931, -5*l + 20 = 2*w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 0.2 (b) 0.4 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1723 (b) 3 (c) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7522038.\nAnswer: 2, 3, 139297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6081934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 7:25 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2908 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 35*d**3 - 2*d**2 + d. Let v be o(1). Let c = v - 16. Let j(a) = 6*a - 84. Let r be j(16). Calculate the highest common factor of r and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-231)\/880 + 944\/(-80) + 12?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(300) + 1)**2 - (sqrt(300) + (sqrt(300) + -2*sqrt(300) + -3)**2 - sqrt(300))) + (-3 + (-1 + sqrt(300))**2)*-5.\nAnswer: -1498 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 22. Let t be v(-17). Let u(n) = 2*n**2 - n + 4. Let g be u(-3). What is the second derivative of g*b**2 + 6*b**2 + 8*b + 21*b - t*b**2 wrt b?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 595*a**2 - 18570*a + 91080.\nAnswer: -5*(a - 69)*(a - 44)*(a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10}. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 180, 355, 542, 747, 976?\n\"Answer: o**3 + 168*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y**3 - 25*y**2 - 195*y - 321. What is w(-4)?\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17c24a (base 13) to base 14\nAnswer: -117cd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r\/(r\/(r*r\/r**(-2)*r))))*r*((r**(8\/7)*r*r)\/r)\/r)\/(r**(3\/8)\/(r\/(r*r*r\/(r\/(r\/(r\/(r\/r**4))))*r*r*r*r))) assuming r is positive.\nAnswer: r**(323\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -3*u**2\/2 - 4*u + 7. Let t = 26 + -29. What is o(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 30 = 3*k. Round k to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3))**(-27))**(-4\/11) assuming x is positive.\nAnswer: x**(-324\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2. Let b(t) = -160560*t**2. Calculate v(b(h)).\nAnswer: 77338540800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93.987 + -0.113. Let u = -94 - d. Which is the biggest value? (a) 1\/4 (b) -1\/6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 117\/(-21) + 3\/(-7). Let a be 4\/p + 40\/6. Solve a*u = 2*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1116211\/20 + 55811. Find the common denominator of i and ((-6)\/64)\/(6\/28).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -173854*m. Let g(u) = 12*u. Determine b(g(j)).\nAnswer: -2086248*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/(-66) + (-245)\/(-15). Suppose 5*c - r - 701 - 662 = 0, 2*r - 1354 = -5*c. Calculate the highest common divisor of z and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -18 + (13 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) 0.4 (c) 1 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 421*y**2 - 33*y - 3. Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6245.8927 and -21.\nAnswer: 131163.7467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*f + 594*f - 19 = -3*h, f = 4*h + 13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -60*t + 23. Let f(m) = 2*m - 4. Give 6*f(x) + u(x).\nAnswer: -48*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**4 + 0*i**4 - 3*i**4 + 6*i**4 + 32 - i in the form c*i**3 + q + h*i**4 + p*i**2 + j*i and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 0 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 86*p**3 - 9*p**2 + 49*p - 7. Is j(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 + 0*f**2 + 3*f**2 + (5 - 1 - 2)*(2*f**2 + 4*f**2 - 4*f**2).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 95*o**2 - 7*o + 68. Let w(y) = 47*y**2 - 3*y + 34. Let t(m) = 3*r(m) - 7*w(m). Differentiate t(d) wrt d.\nAnswer: -88*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7782905 hours in microseconds?\nAnswer: 2801845800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121*w*y**3 - 26*w*y**2 + 11*w + 426*y wrt y.\nAnswer: 726*w*y - 52*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*o**3 + 30*o - 49*o**3 + o**2 - 3*o**2)*(o + 5*o - 5*o + (4*o - 3*o + o)*(4 + 1 - 4) + 2*o - 4*o + 0*o).\nAnswer: 2*o**4 - 2*o**3 + 30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/15, -4, 14\/25, -1.195, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/35*432\/216)\/(2\/(-40))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = 7*y, i + 1 = -3*y. Let d(j) = -j**2 + 7*j - 6. Give d(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1594*(-1)\/(-6) - (-10)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2254*f**2 - 8*f + 4908. Let d(w) = 2252*w**2 + 9*w - 4906. Let q(k) = 8*d(k) + 9*o(k). Find the first derivative of q(c) wrt c.\nAnswer: -4540*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 41335 + 82674 = 2*j + 41340, 4*v = 2*j + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 4009?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -15*c - 1. Give h(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/1839675, -22, -4\/3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*j**2 - 31 + 31 + 0*j**2 + 0*j**2 - 2*j**2 + (0*j - j**2 + 0*j)*(-2 + 0 - 1))*(-5*j**3 - 8*j**3 + 8*j + 23*j**3).\nAnswer: 370*j**5 + 296*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eueouqzqezuuuuzuze. Give prob of picking 1 o and 1 e.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -571*u + 1063*u - 596*u + 3 - 3. Let m(f) = 35*f. Calculate -8*m(s) - 3*v(s).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -35*k + 19*k. Is k less than or equal to -80\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 10936664.\nAnswer: -1, 4, 10936664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1899983 is divided by 1900?\nAnswer: 1883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x + 3. Suppose 3*u - 5*n + 16 = 7*u, 0 = -5*u + 3*n + 20. What is t(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = -7. Let h = d - -6. Let v be (2000*13)\/(h\/150). What is v rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1116470680.5593 less than -71?\nAnswer: 1116470609.5593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avq when three letters picked without replacement from lqavq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 23522659?\nAnswer: -188181272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7272, -21, 4 in ascending order.\nAnswer: -7272, -21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 4 + 10. Solve 4*y + 6 = c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1865.298 millennia in months?\nAnswer: 22383576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from fddf?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.4*-2662.\nAnswer: 17036.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28740*y - 31127*y = 226765 for y.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 5. Let t(p) = p + 1. Let s(f) = -5*t(f) + v(f). Let g(n) = -2*n**2. Give g(s(b)).\nAnswer: -98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21375130, 21375167, 21375204, 21375241, 21375278, 21375315?\n\"Answer: 37*k + 21375093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -4\/11, -0.1, 2, 20?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/182)\/((-7)\/((-784)\/(-16))). Sort -3\/8, g, -6 in ascending order.\nAnswer: -6, -3\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3216*c - 222171. Calculate h(69).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 11853959?\nAnswer: 71123754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/6 + 29*x\/3 - 4343\/6 = 0.\nAnswer: -101, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-164*m - 11523 + 11523)*(34*m + 76*m**2 - 76*m**2 - 2*m**3) in the form w*m**3 + a*m**4 + d*m + o*m**2 + g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 6*y - 14. List the prime factors of i(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-4 - (4 + -9)) - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1717*d = 1652*d - 3900 for d.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 9600?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from xxfafxx.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 235833.84 rounded to the nearest one hundred?\nAnswer: 235800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-4) - (-407)\/148.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-3) + (-1)\/3. Let k(a) = -3*a - 1 - 3*a + u*a. Let d(t) = -t**3 - 8*t**2 - 8*t - 10. Let q be d(-7). Determine k(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r + 58*r - 11*r - 20*r - 7*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52 and -2?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/807 - 43600\/8877. Find the common denominator of -85\/2 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*x - 524083 = 0, -5*q + 1345460 - 471989 = -4*x. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = q - 18. Let c = 4285 - 4277. Calculate the highest common factor of c and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 93 = 2*m - 0*a, -5*m = 5*a + 145. Let h(j) = -j**3 - 7*j**2 - 5*j + 8. Let n be h(-6). Does 17 divide 2*m*n\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 52. Let c(x) = 109*x + 11. Let p be c(z). Let k = p + 549. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 5*k**2 + 5. Let l(p) = -p**3 - 3*p**2 + p + 4. Let v be l(-3). Calculate c(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5, i + t - 18875 = 31992. Does 298 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sostottpsoosostqtos. Give prob of picking 1 o and 1 t.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-52 - -101 - 91)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 193, -3\/4, 43?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n**4 + 12099280*n**3 + 44940350*n**2 + 22470200*n - 10370856 = 0.\nAnswer: -3, -1, 2\/7, 864238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75147116 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.173175ml in litres?\nAnswer: 0.003173175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -7 + 4)*(-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 6*l. Solve l = -2*k - 2 - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**4 + 6*o**4 + 11*o**3 + 0*o**4 + 2*o**2 + 0*o**4 + 1 to f + w*o + r*o**2 + i*o**3 + d*o**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2378*f**2 - 2368*f**2 + 3897*f**2 + 828*f**2.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/11))\/(j\/(j\/(j\/(j**0*j)))*j)*(j*j**(-1\/9)\/j)\/(j*j**(-3\/2)*j) assuming j is positive.\nAnswer: j**(-139\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 4*l**2 + 2*l + 2. Let x = 131 - 22. Suppose 108*j + 6 = x*j. What is the remainder when b(4) is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 + 73*n + 46. Let a be d(25). Let y = -5.97 - 0.03. Let r = y - -5.6. Put r, 3\/7, a in descending order.\nAnswer: 3\/7, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Let v be (-30)\/(-5)*z\/6. Solve 0 = 4*q, -6*h + 2 = -v*h + 5*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398766 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3227176380 to the power of 1\/2, to the nearest integer?\nAnswer: 56808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*a + 2828*a - 4851*a - 5117*a as l*a + i and give l.\nAnswer: -7222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-12))**(-13))**50 assuming o is positive.\nAnswer: o**(-9100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d + 1. Let t(k) = 10*k**2. Calculate n(t(h)).\nAnswer: -20*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 13) + (0 - (3 + -9)) + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 9 = 19 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times -17013\nAnswer: 2041.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 678023349 to the power of 1\/2, to the nearest integer?\nAnswer: 26039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 25476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -17*z**4 + 217*z**3 + 593*z**2 + 592*z + 193. Let t(m) = 4*m**4 - 2*m**3 + 2*m**2 + m + 1. Let y(v) = b(v) + 5*t(v). Factor y(w).\nAnswer: 3*(w + 1)**3*(w + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 432503.\nAnswer: -865006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*q + 562*q + 15 = k, 0 = 4*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 smaller than 281\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*x**2 - 63*x**2 - 12*x**3 - 49*x**2 + 170*x**2.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.766322 + -0.366322. Let o = -1 + 2. Let k = 0.2 + -0.2. Which is the closest to o? (a) w (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/130419 and 4\/36507.\nAnswer: 36908577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-33)\/l**(2\/55) assuming l is positive.\nAnswer: l**(-1817\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, -53, -30 in increasing order.\nAnswer: -53, -30, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m. Suppose 4*x - 3*y - 166 = -y, m = x - y - 43. Calculate the remainder when x is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 21*b + b**2 + 16*b - 18 - 52*b. Calculate k(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/526176 and 47\/42.\nAnswer: 526176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3490919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20435\/27 - 757. Suppose -2*a + 0*r - r = 5, -3*a - 3*r - 15 = 0. Which is bigger: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + b + 9*b)*(-1 - 1 + 0)*(14*b**2 + 4*b**2 + 5*b**2) as h*b + a + p*b**2 + f*b**3 and give f.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4341*v + 108537. Give s(25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 0*a + 9*a + 4*a**2 - 6*a. Let q be 3\/5 - 54\/15. Let u(b) = -3*b**2 - 4*b. Let v(w) = q*g(w) - 2*u(w). Find the second derivative of v(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*k - 6100. Let f = 2198 - k. Find the common denominator of f\/(-28) + 14\/49 and 119\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d + 8 - d - 3*d - 3. Let j be s(-3). Let q = j + -22. Sort q, 2, 3 in ascending order.\nAnswer: q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 104637468 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(4*190\/2760).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1694 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.1 and -24853.\nAnswer: -24851.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 37*h - 212. Give k(6).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2350*f**2 - 2335*f**2 + 258 + 260 - 518.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, v: 3}. What is prob of picking 2 v and 2 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 8*y**3 - y**2 - 2*y**4 + 3*y**4 - 3*y + 9*y**3 + y**3 as a*y**2 + f*y**3 + b*y**4 + z + l*y and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*c + 5*c - 2*q, 5*c + 2*q = -12. Let m be (c\/(-3))\/((-29)\/(-174)). Is 12338\/m + -2 - (-15)\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 20, 39, 78, 143?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50398 is divided by 1172.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and 115.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*g - 12, 0*g - 5*g + 10 = 0. Let y be (1 - 1 - -1)*-2. Let t be (-3)\/(12\/m)*y. Let x(o) = o**2 + 3*o - 1. Determine x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 5 (b) 231 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 - 38. Suppose -g + 2886 = r*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + u. Let o be p(1). Let y be 36\/12 + 7\/(14\/(-24)). Let f be ((-8)\/12)\/(y\/3)*9. Is o <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*o + 146535 - 6755. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420350.\nAnswer: 2, 3, 5, 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/2 + 1\/(-2). Suppose -2*u + 5*b = -0*u + 4, -8 = u - 4*b. Let q = u + i. What is the biggest value in -0.5, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*n + n**3 + 155*n**2 - 77*n**2 + 2*n**4 - 84*n**2 in the form f*n**2 + u*n**3 + h*n + d*n**4 + y and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 + d**2 + 2*d + 1. Let p be s(-1). Let t = 1.39 + 0.61. Which is the closest to t? (a) -2\/7 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803997301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 + -83. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:54 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*x + 4*x**5 + 24*x**3 - 8*x**5 - x**4 + 36 + 40*x**2 - 11*x**4.\nAnswer: -4*(x - 1)**3*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 219 - 249. Calculate the common denominator of ((-186)\/(-620))\/(s\/(-37)) and 121\/30.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 156068, 312711, 469354, 625997, 782640, 939283?\n\"Answer: 156643*w - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -579149.\nAnswer: 2\/579149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 455632 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 4a1b688?\nAnswer: 4a1b67b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 - 22 - r**2 - 51 + (-2 + 2 - r)*(6 + 4*r - 6).\nAnswer: -5*r**2 - 93","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/2, 2\/15, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98.2 - -98. What is the closest to -1.6 in 0.5, 2, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4240*o**3*z - 2*o**2*z - 2716*o**2 wrt o?\nAnswer: -25440*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 7. Let b(h) = h + 14. Let a(l) = l**3 - 93*l**2 - 5*l + 463. Let m be a(93). What is m*b(n) + 5*v(n)?\nAnswer: 3*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-7))\/(-2 - 177\/(-84)). Let o = 22 - p. Let v(t) = -2*t**3 - t. What is v(o)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -1 + 0)*3\/1. Let q be k\/18*-15*22. Let y be 2 + (q\/4 - 15\/20). Calculate the highest common factor of 105 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555\/(-6105) + (356908\/(-11))\/(-2).\nAnswer: 16223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97547.64t to nanograms.\nAnswer: 97547640000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3) + (-3 - (-3 + -16)) - (-22065 - -22017)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.577563 rounded to two dps?\nAnswer: 215.58","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and 33?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -947484 divided by -315828\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -1\/2*s**2 + 0*s**4 + 0 - 1\/20*s**5 - 6*s + 5\/6*s**3. Let d be p(-5). What is the greatest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/19*(-9)\/42.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 5*i - 3. Let j be q(3). Let x = 630 - 620. Solve j*a - x = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -173*z**4 + 639*z?\nAnswer: -2076*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2061*z - 60991 - 48242 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*-3*((sqrt(396) - 1*(sqrt(396) + 2 - sqrt(396))) + sqrt(396) + 3)*-3)**2.\nAnswer: 73872*sqrt(11) + 4622193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44104 divided by -1192.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 658\/15 + -44. Let q = -3.8 - -4. Let z be (-4 - -5)*(-6)\/(-16). Which is the biggest value? (a) g (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 46982?\nAnswer: 751712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*i = 35, 4*h - 43*i + 140*i - 51*i - 44*i + 4 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44*(-6 + 10 - 1*-4). Suppose 0*w + 3 = -3*w. Let t be -3*(w - (23\/3 + 2)). Calculate the highest common factor of t and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + r + 26, -2*d + 38 = 5*r - 2. Solve 8*n - 4*n + 4 = -2*j, 5*j + d = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4836 and 5777811.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-36)*w*w*w\/(w*w**(-5))*w\/w**(2\/9))\/(w\/(w\/w**(-3\/4))*w*w\/(w*(w*w**(1\/2)\/w*w)\/w)*w)**(-4) assuming w is positive.\nAnswer: w**(97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-15)\/(-2)))\/((-110)\/(-1375)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -679786.2 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153464211 is divided by 30692842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - ((18 + -11 - -13) + -9).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/7, 5, 0.9, 418, 3\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11288367 to the nearest integer?\nAnswer: 3360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 - v**3 - 864 - 102 + 0*v**3 - 411.\nAnswer: -v**3 - 1592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 164913 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 6761 - 409*f - 6761 - 2*f**2.\nAnswer: 2*f**3 - 2*f**2 - 409*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, g: 5}. Give prob of sequence ii.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165995 by -1189.\nAnswer: 165995\/1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 7*r + 9. Let w be (-9)\/6*8 + 4. Let k be u(w). List the prime factors of (k - 0) + 36\/1.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41475 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 471, 482, 505, 546, 611, 706, 837?\n\"Answer: n**3 + 4*n + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1+-3247.6933\nAnswer: -3246.6933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1244 + -22?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1408) - (2*sqrt(1408)*5 + sqrt(1408)))*1)\/(((sqrt(110) - -6*-1*sqrt(110)) + sqrt(110))\/(sqrt(160)*5)))**2.\nAnswer: 320000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286878 is divided by 31875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2793 - -2777. What is the smallest value in 0.07, o, -1\/4, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f = 24*f + 7. Suppose -2*m + 1 = -f. Put -79, -2, m in ascending order.\nAnswer: -79, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465936 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 9*z**2 - z + 10. Let k = 36 - 27. Calculate t(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 13) to base 9\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15827575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 4*y**2 - 6*y. Let o be r(5). Let p = 19 - o. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -1.6. Suppose 2*h - r - 12 = 0, 6*h - 28 = 3*h + 4*r. Which is the closest to -2? (a) 0.2 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -26. Let y(w) = w**2 - 5*w - 3. Let a(o) = o**2 - o. Give z*y(i) - 3*a(i).\nAnswer: -2*i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -265*g**2 + g**3 + 1 + 520*g**2 - 278*g**2 + 2*g + (2*g**2 + g**2 - g**2)*(9*g + 5*g - 5*g).\nAnswer: 19*g**3 - 23*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.887996 millilitres in litres?\nAnswer: 0.000887996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198300?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1745 is divided by 869?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 29 - 10)*(8*p**2 - 22 + 22) + (5*p - p - 5*p)*(-3*p - 3*p + 4*p) as j*p**2 + r + w*p and give j.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 544*p + 3843. Calculate o(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 20*f**2. Let m(p) = 5*p**2. Let c(s) = 9*m(s) - 2*o(s). Let u(z) = 3*z**2. Give u(c(b)).\nAnswer: 75*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 275*r.\nAnswer: -5*r*(r + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8874280 and 2440.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11020\/212 - (-213)\/11289?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.57458 nanometers to millimeters.\nAnswer: 0.00009057458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*g + 460 = -173 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:22 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + i + 745500006 = -i, t - 3*i = -149099991. Round t to the nearest one million.\nAnswer: -149000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1 + -1) - 2. Which is smaller: -1\/15 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -16. Let s = j + -5. Calculate the remainder when (-8 - (-4)\/1) + 8 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.092 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.14 and -4.\nAnswer: 40.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*r**2*u**2 - 2*r**2*u - 5*r**2 - 59*r*u**3 + 46*r*u**2 - 66*r*u + 54*u + 2 wrt u?\nAnswer: -82*r**2 - 354*r*u + 92*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417714709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33253*h - 32812*h - 3 - 1 + (2*h + 2*h - 3*h)*(2 - 4 + 1) + 3 - 3 - 2*h - h + 0*h - h.\nAnswer: 436*h - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q - 770 = 0. Is q\/(-9) + 16\/72 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*s = -16*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 11 + -27 + 17\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2. Let u(i) = i**2 - 4*i - 6. Let y = 6 + 0. Let j be u(y). Let p(o) = 2*o**2 - j*o**2 + 3*o**2. What is k(p(h))?\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17752 divided by 17752.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 888000343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -21*h**4 - h**2\/2 + 50*h + 82. Find the second derivative of c(t) wrt t.\nAnswer: -504*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 98. What is the units digit of 164\/10 + (-18)\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25545575 divided by -3.\nAnswer: 25545575\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 7\/(-1))*3\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 91800 and 0.3.\nAnswer: 27540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010 + -11?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 25. Let z be (0 - 0) + (-2)\/q. Which is the closest to -2? (a) z (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/65)\/(70\/(-455))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -93. Suppose -3*i - o = -4*i. Solve 5*v = i - 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*g - g. Suppose -4*l - 5*v = 14, -3*l - l - v - 22 = 0. Let u be l\/(-9)*(-3)\/g. Solve 0 = -0*s + u*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*h + 220 = -10*h, -192 = -3*n - 3*h. What is the highest common divisor of n and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, b: 2, q: 1, u: 1, t: 4, m: 2}. Give prob of sequence tlbt.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*c - 3*a + 14, 5*c - a = 16. Factor 1\/4*p**c - p**2 - 1\/2 + 5\/4*p.\nAnswer: (p - 2)*(p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - f**2 + 0*f**2)*(2 - 3 + 0) - 5 + 39756*f - 39697*f + 29*f**2 + 4.\nAnswer: 31*f**2 + 59*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 867 and 255?\nAnswer: 4335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, 28, 47, 74, 109?\n\"Answer: 4*b**2 - b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*q - 114 = -4*q, 4*q = 5*l - 291. What is the remainder when l is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*y**2 + 47*y**2 + 94*y**2 - 29*y wrt y.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/10)\/(8\/160). Let z = -4 - k. Let g = 26 - z. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*q**2 - 5)*((0 + q + 0)*(9 - 8*q - 9) + 0*q**2 + 0*q**2 + 3*q**2 + 0*q - 2*q**2 + 0*q + (-q + q - 2*q)*(2 - 2 - q) + 2*q**2 - 2*q + 2*q).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -5*j + 5, -5 + 3 = -2*w + 2*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 159 times 0.07\nAnswer: 11.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.83 + -1.37. Let x = 0.84 + z. Let u be (-24)\/(-14) + (0 - 2). Which is the closest to -4? (a) x (b) -1\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2\/449, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34426 is divided by 6861?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/6 + (-2)\/(-3). Let a be 0\/((-3 - 1) + 7). Suppose -o - 3*o = a. Solve r = 4*w - o*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 18. Let o(t) = -t + 5. Let b(j) be the second derivative of -j**3\/6 - 6*j**2 - 8*j. Let k be b(6). Determine k*o(l) - 5*f(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 - n**3 + 12016 - 2*n**3 + 1058.\nAnswer: 3*n**3 + 13074","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**3 - j. Let q = 16 + -9. Let n = -6 + q. Determine p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129715470 is divided by 71.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -36.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -13*l**5\/5 + 35*l**2 - 17. What is the second derivative of p(t) wrt t?\nAnswer: -156*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 4*r + 17. Let n be x(-7). Let p be 5 + -9 - n*1. Differentiate 13 - 23 - 2*b + p - 4 with respect to b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3223 + 51545\/16. Calculate the common denominator of -9\/10 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61809873.\nAnswer: 3, 167, 123373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3*z + 39 = 0, -680*z + 679*z = -11*g + 69 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 90074 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377 is divided by 1360?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4.8*-435.9\nAnswer: -2092.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/20 - 1\/(-12)*-3. Let l = 0.18 - 5.18. Sort l, 5, c in decreasing order.\nAnswer: 5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -129 and -133 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(16\/10))\/(32940\/2928)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 4*k**2 - 21*k. Let h be m(7). Let t(s) be the second derivative of -1\/24*s**4 + h + 0*s**3 + 1\/4*s**2 + 2*s. Factor t(f).\nAnswer: -(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1823091.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o*o)**(-41)*(o\/(o**(-4\/7)*o))\/o**(-2\/19))\/((o*o*o**(2\/5)\/o*(o\/o**(-1\/14))\/o)\/(o**(-2\/25)*o\/o**(-2\/5))) assuming o is positive.\nAnswer: o**(-77401\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -55?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 7*c + 4 = 0. Let y(d) = -d**3 - 9*d**2 + 11. Let a be y(-9). Suppose -c = -3*f + a. Solve 4*n - l = -f, -4*n - l = -0*l + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 14*t = 1612. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*f = 2, 0 = 3*r - 0*r - 4*f - 2. Suppose -3*q + 25 = r*q. Suppose q*o - 3*z - 120 = 2*z, 0 = 2*o - 3*z - 50. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1214890 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 672.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 8397 = -3*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -1) + 2 + (19 - -6) + -14 + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -18*d + 8. Let g(f) = 17*f - 7. Let l(j) = 7*g(j) + 6*u(j). Determine l(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*z**6 - 1141*z**4 + 3*z**2 + 28*z + 14 wrt z.\nAnswer: 960*z**3 - 27384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/17)\/(p**(-11)\/p)*(p**2)**(-1\/53) assuming p is positive.\nAnswer: p**(10672\/901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + i**2 + 15*i - 13. Let a be m(6). Let f = 560 - a. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3376 - 2893. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + -5*(-2*sqrt(76)*4 + (1*sqrt(76) + sqrt(76))**2*5).\nAnswer: -7601 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**(-1))\/h*h)**(18\/7)\/(h*h\/(((h\/(h**(-2\/27)*h*h)*h*h)\/h)\/h)*h*h**(-5)) assuming h is positive.\nAnswer: h**(689\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 42 + 9\/2*v**4 + 0*v + 0*v**2 - v**3 - 3*v**5. Factor i(s).\nAnswer: -3*s**2*(s - 1)*(5*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r + 0*r**4 - 1\/2*r**3 + 0*r**2 + 1\/120*r**5 + 0. Let p(j) be the second derivative of h(j). Determine p(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1383, -1387, -1391, -1395, -1399?\nAnswer: -1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60983*g + 61143*g = -16960 for g.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*j = -216*j + 10. Solve 6*z + 4 = 2*z - j*w, -w + 12 = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -213 - -16?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -925 + 2768 - 917 - 3*u - 926.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, c: 1, s: 3, u: 3}. What is prob of sequence uuqs?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13 - 5.13. Let l be (4 + (-100)\/24)*-15. Which is the closest to 0.1? (a) p (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:56 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u - 253 = -978 - 463 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -237 + 29. Suppose 1300 = 4*k - 2*b, 3 - 15 = -3*b. Let q = c + k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*u - u - 18, -u + 119 = 3*l. Calculate the highest common factor of l and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and ((-9220)\/(-3227))\/((-2)\/(-693)).\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 50 = 26*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 11. Suppose -z*d + 24 - 3 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-35)\/(-2))\/((-2)\/(-4)). Let h(d) = 3*d**2 - 4*d + 2. Let c be h(5). Let j be c\/9 - (-12)\/18. Calculate the greatest common factor of j and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, p: 3, w: 3, a: 1, l: 1, i: 7}. What is prob of sequence ap?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*n - 10*n + 15*n.\nAnswer: -68*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48741145931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -308480699.2 to the nearest 1000000.\nAnswer: -308000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncv when three letters picked without replacement from {m: 3, n: 4, c: 1, w: 1, v: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4841 (base 11) in base 6?\nAnswer: -45201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -14*r + b, r = -b - 2063 + 2065 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**32*i)**(-2\/31))**(-5) assuming i is positive.\nAnswer: i**(-300\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 1:16 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = 5*n + 5*k, -28 = n + 4*k - 92. Let l(d) = d**2 - 6*d - 2. Calculate the least common multiple of n and l(8).\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1503049.05\nAnswer: -601219.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.1. Let w = 1.2 + 4.8. Let p = w + -6. Which is the nearest to p? (a) -2 (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1026.998234 + -1027. What is c rounded to 5 decimal places?\nAnswer: -0.00177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 + 5*x**4 - 7*x**3 - 5*x**2 + 6*x.\nAnswer: x*(x - 1)**2*(x + 1)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4374\/7 - 4372\/7. Factor 8\/7 + 12\/7*t**2 - 18\/7*t - x*t**3.\nAnswer: -2*(t - 4)*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 868, 858, 824, 754, 636?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - ((sqrt(16)\/sqrt(4) - sqrt(4)) + sqrt(4)))\/sqrt(2) + (sqrt(18) - (sqrt(18) + sqrt(198)\/sqrt(11))))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 66 times 0.12341\nAnswer: 8.14506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 297*y**2 - 17*y - 37. Let v(l) = -198*l**2 + 12*l + 26. Give -5*n(r) - 7*v(r).\nAnswer: -99*r**2 + r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, g: 7}. What is prob of picking 2 g and 1 y?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24369, 24395, 24431, 24471, 24509, 24539?\nAnswer: 24555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3 + 4*b**2 - 7*b**3 - 4*b**4 - 17 + 8*b + 17 = 0 for b.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1. Let q be 2 + (-1)\/2 + 6\/4 + 2. What is the second smallest value in -2, q, v, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k + 6. Let r = 15 - 11. Suppose -r = -s - 7*h + 3*h, 5*s + 5*h - 35 = 0. Is x(s) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 35. Suppose -h = -1, 0 = -j*w - 3*w - 4*h + 14. Calculate the lowest common multiple of 2\/(1 - 2\/3) and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.063, -3, 1, -0.3, -4\/31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 30 = 5*h, -2*h + 31 = -6*h + 3*c. Let x = 9 - h. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*n**2 - 357*n**2 - 351*n**2 - 386*n**2 + 1504*n**2.\nAnswer: 53*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**2 - 50*o**3 + 19*o**3 + 5*o**2 + 32*o**3 + 2 + 5*o**2 to the form d*o**3 + j*o + n*o**2 + b and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356663 is divided by 3724.\nAnswer: 2883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -3841.12.\nAnswer: -3841.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (279208 - 279208 - 3965*b)*(-4*b + 4*b + 2*b).\nAnswer: -7930*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 291489 and 8322?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*3\/(2 + 1). Let p = -3\/19 + -51\/38. What is the nearest to 2 in m, 1\/5, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6605, -13211, -19815, -26417, -33017?\nAnswer: -39615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 30.020573 times -13\nAnswer: -390.267449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32+1\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59212.\nAnswer: 2, 113, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/17591 + -1002647\/351820. Let j(q) = 2*q**3 + 18*q**2 + 10*q + 33. Let t be j(-12). Let y = t + 18921\/20. Calculate the common denominator of n and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a + 10. Let v(k) = k. Suppose -5*u + 0 = -5. Let y(b) = u*p(b) + 5*v(b). What is the smallest common multiple of y(-7) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + 0 + (294\/(-70) - 3). What is the third smallest value in -0.1, 1\/8, 0.5, g?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 4*n - 6*z + z, 0 = 2*n + 2*z - 120. Let y = n - 51. Suppose 5*x - 10 = 0, -2*x - 5 = i - y*x. Solve 2*p = 5 + i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66935 is divided by 468?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 185 * -3.\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -25. Let f(n) = n**2 + 12*n + 2. Let y(u) = -2*u**2 - 25*u - 4. Let j(x) = -13*f(x) - 6*y(x). Let o be j(-6). Which is bigger: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 658179 divided by 24377\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 18 = 2*r, 0*x = 4*x + 16. Suppose -5*a = -157 - r. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one eighths of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**2 - a - 7. Let m(t) = -t**2 - 1. Let z(b) = b - 2 + 1 + 0*b. Let x be z(0). Let j(p) = x*u(p) + 5*m(p). Determine f, given that j(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1692 - 1389 + 12*c + 893 - 11*c - 733.\nAnswer: c - 2921","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*v + 2240*v + 1214*v - 237*v - 180*v.\nAnswer: 2629*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68*((-33)\/6)\/(-11) - 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s - 2*s - s - 776*s**2 - s. Let f(w) = w. What is f(i(h))?\nAnswer: -776*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -14*d**2. Let r(t) = 810*t**2 + 863*t. Give r(c(u)).\nAnswer: 158760*u**4 - 12082*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(76)*-3 - ((sqrt(19) + 1 + sqrt(1216))**2 - sqrt(19))).\nAnswer: -1545 - 23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 5*n + 7. Let d be x(-4). Solve 0 = d*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/38 and ((-355)\/10)\/(3*50\/(-15))?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 206201, 206227, 206251, 206273, 206293, 206311?\n\"Answer: -t**2 + 29*t + 206173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 6*l**2 + 7*l + 4. Suppose -o + 2*q + 9 = 0, -3*q = 4*o - 7*o + 24. Let k be i(o). Let p = 5 + -1. Is k not equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + u**3 - 2*u**3 + (0*u**2 - u**2 + 3*u**2 + (2*u + 2*u - 5*u)*(u - 5*u + 2*u) + 21*u**2 - 100*u**2 - u**2)*(0*u + 0*u + u))*(3*u + 0*u - 4*u).\nAnswer: 78*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-5) - (1 + -1). Suppose -d*t + 2 = -2. Let u(m) = m**3 + m**2 - m - 5. Let y be u(0). Which is the second smallest value? (a) 0.4 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - 0 - (3 - -19 - (22 - -6))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -4 - ((-9 - -18) + -9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/4)*i**(-10)*i)\/(i\/(i*i**(3\/14)*i)*i**(-3\/5)*i))**18 assuming i is positive.\nAnswer: i**(-9369\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 10*p**2. Let m(i) = -2*i. Let t(w) = 5*w. Let g = 172 - 177. Let h(v) = g*m(v) - 3*t(v). What is h(f(n))?\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0 + 3*u)*(12 - 10 - 24).\nAnswer: -66*u - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/225)\/((-1)\/(-12))*20\/24?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 6. Let n = -2 - -4. Let i = 0 + n. Is i smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259234 (base 14) to base 7.\nAnswer: 13663164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 2210?\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3749114 divided by 70738?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 504*s**2 + 290*s + 47. Is k(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.993 + 25. Let i = o - -31.993. Let p = -38.6 + i. What is p rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*c**5 - 7*c**3 + 852*c?\nAnswer: 1160*c**3 - 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/(-82)*(-20)\/(-40)*1\/1*20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -58 + (27 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 758457*g**2 - 6*g - 5. Let q be o(-1). Let w = q + -477458. Round w to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1708)\/3050)\/(6\/60).\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2\/(-11) - (-171)\/693\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2489909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -705\/4, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + -2 + -3 + 1. Suppose -27 + 2 = -5*t. Suppose -3*g - 12 = 4*w, -t*g - w - 11 - 26 = 0. Put g, -1, b in ascending order.\nAnswer: g, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/w*w)**(2\/45)*(w**22)**(-7\/4) assuming w is positive.\nAnswer: w**(-3469\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 40 = 5*h + 1, 0 = 5*h + 5*i + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/298 and -45\/4?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1464 - 1464. Let q(c) be the first derivative of p*c**3 - 1\/4*c**4 + 2 + 9\/2*c**2 + 0*c. Find the second derivative of q(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167.7 + -177. Round y to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/17 + -3\/85. Let t(j) = -j**3 - j**2 + j + 6. Let a be t(0). Suppose -2*z - a = -4*z. What is the second smallest value in c, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*s**4 - 18882*s**3 + s**2 - 42*s - 4912 wrt s?\nAnswer: 96*s - 113292","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 epepbppppp?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1618909709, 1618909708, 1618909707, 1618909706, 1618909705, 1618909704?\n\"Answer: -u + 1618909710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -9 + 0*a + 1\/3*a**3 + a**2. Calculate g(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + (-5 - -19 - 43)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5035.99998527 + -5036. Round o to 7 decimal places.\nAnswer: -0.0000147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-66)*-3*18\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Let h be 18\/10 + (-15)\/(-75). Determine p(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5693 is divided by 1247.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -99 - 32993*l**2 + 32994*l**2 + 396*l + 494 = 0. Calculate l.\nAnswer: -395, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793811 is divided by 3497?\nAnswer: 3489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 13329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r - 7. Let c(l) = -8*l - 8. Let j(v) = 7*a(v) - 6*c(v). Determine j(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4\/5, -2\/5, 4\/69 in descending order.\nAnswer: 4\/5, 4\/69, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*v = 255*v + 54. Let z(l) = -2*l**2 + 14 + 4*l**2 + 8*l - 4*l**2 - l**3. Let t be z(v). Is t at least as big as 1\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i - 10. Let h(l) = -l**2 + 4*l + 1. Suppose -3*b = -0*b, -a + b = -4. Let t be h(a). Is t > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*z - 8 - 5, 2*z - 3*r = -23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/350 and 7\/4475?\nAnswer: 62650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 918 = -2*q. Let w = 104 + q. Solve -2*j = 3*c - 0*c - w, j + 4*c - 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 2*s - 20, -j = 4*s - 10 - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - r. Let a(z) be the first derivative of 6*z**4 + 8*z**3 + 12*z**2 + 4476. What is -a(x) - 24*d(x)?\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwxd. What is prob of sequence xdw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 + 154*p.\nAnswer: -2*p*(p - 385)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 21 (b) 0.0773 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71769*d*y**3 - 597*d*y**2 - 6*d*y wrt y?\nAnswer: -430614*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**7\/630 - 617*j**6\/360 + 1643*j**2. What is u in o(u) = 0?\nAnswer: 0, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2 and (-121)\/(-3)*(3451\/490 + -7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**(-1\/2)*l)\/l*l*l*l*(l\/(l*l**6))\/l)**(-3\/10) assuming l is positive.\nAnswer: l**(9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u - 75. Let i be q(22). Suppose 40 = -33*o + i*o. What is the highest common divisor of o and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8280 + -8279. What is the second biggest value in 2847, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154 > 1155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 495, 1002 in descending order.\nAnswer: 1002, 495, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8317406371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*w - 25 = -8*w, -2*r + 2*w = -10. Calculate the lowest common multiple of 11 and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g. Let v(k) = k**3 + 9*k**2 - 5*k + 4. Let s(p) = 5*u(p) - v(p). Let l = 28289 + -28299. Determine s(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 199*m**5\/10 - 91*m**4\/6 - m + 256. Find the third derivative of t(w) wrt w.\nAnswer: 2388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2 + 2*o. Let y be m(1). What is the nearest to 1 in 4, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/276 and -35\/276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/19 - 6*g**3\/19 + 20*g**2\/19 + 48*g\/19 = 0. What is g?\nAnswer: -4, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071 > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*j - 4*d, 0 = 3*j + 3*d - 33 + 15. Let k(x) = x**2 - 1. Let f(n) = 5*n**2 - 2*n - 5. Suppose 5*c + 4 = -16. Calculate c*k(p) + j*f(p).\nAnswer: p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c + 2. Let n be -5 + -1*(0 - -2). Let q(r) = 123*r - 14. Let v be q(1). Suppose t + v = 113. Let u(f) = 3*f + 1. Calculate n*u(m) + t*o(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -119, -78, -37?\n\"Answer: 41*h - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 54*j - 356. List the prime factors of v(25).\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**7\/70 + 3*z**5\/20 - z**4\/4 + z**2\/2 - 2*z. Let b(f) be the first derivative of y(f). Factor b(o).\nAnswer: -3*o*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5 = 5*w, -3 = a - 5*w + 2. Find the common denominator of a - (-2)\/(100\/45) and -85\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-166)\/24 - 49\/588.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 35496846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.53 + -2.4. Let f = j + 1.67. Let u = f + -2. What is the third smallest value in 4, u, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*z + 56*z + 56*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -3*z**5 + 11*z**3\/3 + 25. Find the third derivative of p(u) wrt u.\nAnswer: -360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h**2 - 15*h + 6. Calculate x(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + -34310?\nAnswer: -34240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100100 - -31?\nAnswer: -100003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**2 - 64*x - 105. What is w(-13)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 29 = -h - 7*t, -5*t - 1468 = 4*h - 1429 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 29 - 10 = 3*b, 3*b = 2*m - 3. Let y(t) = 7*t**2 + 5*t + 16. What is the tens digit of y(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25872, 26001, 26210, 26493, 26844?\nAnswer: 27257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13017406 is divided by 1208?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1053)*-1 + 2 - (sqrt(1053) + 1 + (sqrt(1053) + 0 - sqrt(1053))))*6)**2.\nAnswer: -1296*sqrt(13) + 151669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, j: 1, v: 9, y: 1, r: 1, x: 2}. Give prob of picking 1 y and 2 c.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 16 - 5 - 7)*(5*z - 4*z - 2*z) as d*z + k and give d.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114000023 + 10?\nAnswer: 114000033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 8. Does 15 divide l(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -5.28. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743631339 a multiple of 2669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -4\/3*i**3 + 8*i**2 + 0 + 1\/12*i**4 + 41*i. Let s be p(5). Put 14, 0, s in ascending order.\nAnswer: 0, s, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 0*y = 30. Suppose -4*g + 10 = y*v - 2*v, -5*g - v = -13. Solve -g*m + 6 = -k - 1, 4*k - 24 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -5*t. Suppose 2*b + b - 588 = t. Suppose -4*z + 80 = -b. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + 22*s**2 - s - 25. Let o(y) = -y**3 - 11*y**2 + y + 12. Let v(m) = -2*n(m) - 5*o(m). Determine v(-9).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411059?\nAnswer: 11, 37369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 5*j + j. What are the prime factors of (8\/j)\/(1\/(-88))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 154448979\nAnswer: 1\/154448979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let g(h) be the second derivative of h**3\/3 + h. Let n(t) = -t**2 + 7*t - 6. Let q be n(6). Suppose 0 = -q*i + 3*i + 6. Give i*p(r) - g(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 853624\nAnswer: 7682616","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**2\/5 - 39675968*h\/5 - 7935194 = 0.\nAnswer: -1, 19837985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (14950\/(-6175))\/((-10)\/285)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.13 + 38.31. Let m = 24 - h. What is m rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68586 = -0*r + 7*r - 249928. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 672 + -732. Let c = w + 78. Calculate the least common multiple of 2 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3664 and 32518.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.53.\nAnswer: 2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*k - 8. Calculate the least common multiple of (k\/(-4))\/(4\/48) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251876.6 weeks to nanoseconds.\nAnswer: 152334967680000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21276344 divided by 13\nAnswer: -21276344\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - 5.94. Let g = 6.4 + v. Let t = 0.34 + -0.04. Sort t, g, 0.1.\nAnswer: 0.1, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - -142*(-27)\/(-18). Suppose -6*y + x = 5*j - 5*y, j = y + 47. Calculate the remainder when 154 is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3625 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 + 4\/14. Let m = -1840 - -1838. What is the closest to a in -1, 1\/3, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 34 = 47 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 45. Let w be 2 - (-1 - (3 - r) - 21). What is the greatest common factor of w and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3115 (base 13) to base 12\nAnswer: 3b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1676*c + 457548. Let t(m) = -39. Give 5*p(k) + 58660*t(k).\nAnswer: -8380*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**2 + 23513. Let g(d) = 9*d + 7. Let r(t) = -4*t - 4. Let m(h) = 4*g(h) + 7*r(h). Determine y(m(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9705 = -2*k, -44*k + 39*k = 5*n - 24270. What are the prime factors of k?\nAnswer: 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from iiwiiiwiig.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 7. Sort h, -3, 3, -6 in ascending order.\nAnswer: -6, -3, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 6*z - 688. Let b be r(0). Let f = b + 1003. List the prime factors of f.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Let o(x) = -x**2 - 13*x - 30. Let m be o(-10). Suppose 5*c - k = k + 7, 3*c - k - 5 = m. What is the remainder when b is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -120, -1, 72, 1 in descending order.\nAnswer: 72, 2, 1, -1, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 12:49 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -42637, -85274, -127911, -170548?\n\"Answer: -42637*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14*u - 5. Let f be t(-8). Let p = 278 + f. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -7*k + 189. What is the third derivative of -559*a**2 + 554*a**2 - 46*a**4 - k*a**4 wrt a?\nAnswer: -2136*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105802 (base 13) to base 12\nAnswer: -166014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -22, 0.22, -0.4, -5\/6, -0.21, 0.1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208656961?\nAnswer: 67, 3114283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r**2 + 2*r - 2*r - 45*r**2.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*q = 77, 4*q - 3*q - 74 = 5*v. Let m be (-12)\/30*(0 + v). Is ((-26)\/(-4))\/(3\/m) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -416309, -416147, -415987, -415829, -415673, -415519, -415367?\nAnswer: -415217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -383*g - 10290 - 4158*g**3 - 2874*g**3 + 383*g with respect to g.\nAnswer: -21096*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 38. Which is the fourth smallest value? (a) -1\/21 (b) -2\/3 (c) 2\/11 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + 120. Let h = -176 + o. Solve h = -8*b + 6*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 55?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216821303*t**2 + 13293344*t?\nAnswer: 433642606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -1\/3*c**3 + 6 + 0*c**2 + 30*c. Calculate the remainder when r(0) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 10.44. Let w = h + 0.04. Let d = 0.2 + w. Which is the third biggest value? (a) d (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017226563 rounded to 7 dps?\nAnswer: -0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 974 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0 - 3*w**2 + 0*w**3 + 0*w**6 + 1\/168*w**8 + 0*w - 1\/15*w**5 - 1\/12*w**4 + 2\/105*w**7. Factor p(o).\nAnswer: 2*o*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 336 + -335. What is the closest to 0.3 in -0.3, -14, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/3828 and -95\/348.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 9*x + 9. Let f be i(-7). Let y(o) = o**3 + 6*o**2 + 5*o + 2. What is y(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(8\/9)*((t\/((t\/(t*t**14*t)*t)\/t)*t)\/t)\/t assuming t is positive.\nAnswer: t**(143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -71, 1\/4, -3\/26, 1\/74, -5, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2343 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 28*c**2 - 29*c + 3. Let p be j(-29). Suppose 0 = -3*v - 0*v + 2*t - p, -4*t = -2*v - 2. Is v less than or equal to -4\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74547079 or -74547092?\nAnswer: -74547079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35836 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 20, -51 in increasing order.\nAnswer: -51, -7, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 7. Let v(m) = -1 - 1 - m + 5. Let r(o) = -3*p(o) - 7*v(o). Let w(h) = 3*h**2. What is w(r(f))?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (((-130)\/(-50) - 3\/5) + 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/330*15\/(-1)*1*(-6)\/24.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114*k**2*r**3 - 463*k**2 + 37945*k*r**3 - 2*k*r wrt k?\nAnswer: 228*r**3 - 926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15714 = -266*f + 132*f + 116*f. What is the remainder when f is divided by 91?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 2*z + 8. Suppose -6 = 4*s - 4*b + 6, -15 = z*s - 5*b. Solve a - 5*a + 20 = s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 + 10*h**2 - 1223*h + 1223*h + 9*h**2.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((-855)\/(-76))*(-6)\/4*7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Suppose 0*f = f. Suppose 0 = s + z + 3, f*z - 9 = 2*s + 3*z. Suppose s = 3*i + 15, 3*r + 2*i = -3*i - 10. Calculate v(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(3\/4)*v)*v**(-3\/7))**(1\/3)\/((v\/v**(3\/7)*v)\/(v\/(v*v**(4\/5)*v)))**31 assuming v is positive.\nAnswer: v**(-14687\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39991.89 millilitres to litres.\nAnswer: 39.99189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44645194 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2 - 24662619*m - 24662622 = 0. What is m?\nAnswer: -1, 8220874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 88\/5 of a second?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14275650 is divided by 155?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432532?\nAnswer: 2, 23, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 - 14660*k\/3 - 4886.\nAnswer: -2*(k + 1)*(k + 7329)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 729*k**2 + 635*k**2 + 22 - 1494*k**2 + 7 as o + m*k + v*k**2 and give v.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/5 - 156*k**2\/5 + 159*k\/5.\nAnswer: -3*k*(k - 1)*(k + 53)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8\/711 - 14149\/56880. What is the common denominator of (-18)\/480*172 - (-10)\/2 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/410280 and 197\/820560.\nAnswer: 820560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (276\/60 - 6\/10)\/1. Let u be p - (58\/24)\/(180\/320). Is u at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*652.\nAnswer: -3912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -5, -3, 0.3, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 20*r**3 - 6*r**2 + r + 5. Let b(v) = -v**3 + v**2 + v - 1. Let l(q) = -5*b(q) - p(q). Let o(u) = 3*u**3 + u. What is -2*l(y) - 11*o(y)?\nAnswer: -3*y**3 - 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185654892.\nAnswer: 2, 3, 17, 881, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 7:30 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -235*a - 1. Let j(u) = 455*u + 2. What is 6*j(i) + 13*k(i)?\nAnswer: -325*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) -0.3 (c) 0.5 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 198 + -363. Let n be -1*(-1)\/(k\/3). Is 1 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39282\/8 - (-40)\/(-32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326387?\nAnswer: 71, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 6. Let z = -1.5 - t. Let q = 125 - 129. Which is the nearest to -0.2? (a) -0.5 (b) z (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 18870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110.484 + -0.516. Let r = 85.8 + m. What is r rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001277174924 rounded to five decimal places?\nAnswer: -0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - m + 696 = -0*s, 0 = -m - 4. Suppose s - 60 = 5*n. Calculate the remainder when n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - (1075\/225 - 2\/18). Which is the biggest value? (a) x (b) -2.9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*n + 24 = -7*n, -a + 15 = n. Let v(z) = -4 + 7 + 12*z - 5*z + 6*z - z**2. Let o be v(a). Solve o = h - 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 987*j + 14707. What is h(-15)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11663000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 4*w**2 - 2*w + 4. Let k be r(-4). What is the common denominator of (-4)\/26 - (-132)\/(-2184)*-64 and (-334)\/(-88) + (-3)\/k?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j + 2 + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 117*v - 321. Let i be x(3). What is the greatest common factor of i and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162497337?\nAnswer: 3, 1193, 45403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (46620\/1480)\/((-14)\/(-8))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let v(i) be the first derivative of 5 - 1\/2*i**2 + 0*i. Determine v(n(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-6) - 174\/(-36). What is the smallest value in 4, 3\/8, t?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 14 - 3) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 447 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -33\/15095897 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8643587 to the power of 1\/2, to the nearest integer?\nAnswer: 2940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from {z: 7, h: 2, b: 4}?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-275)\/30)\/55*-36. Solve -4*d - 8 - 20 = h*r, -d = -4*r - 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + (-140)\/(-12))*36. Let x be (k\/(-14))\/(-24)*12\/2. Solve 13*p = 14*p - x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 + 7*v**2 + 14*v - 2. Let c(d) = 13*d**3 - 28*d**2 - 56*d + 9. Let h(o) = -2*c(o) - 9*s(o). List the prime factors of h(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 45*h + 103. Let x(d) = 15*d + 33. Determine -4*u(n) + 11*x(n).\nAnswer: -15*n - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*(3*(sqrt(2448) - (-1 + sqrt(2448)))*-6)**2 - (sqrt(136)*-1*5)\/(2*sqrt(128))).\nAnswer: 5*sqrt(17)\/8 + 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -162323927 divided by -162323927\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.13, -92, 14\/9?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3171\/604 - 1\/4)\/(11 - 12\/(-6)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 50*a - 135 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3783\/(-84) + -3 + 69\/1932?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63 + 5344?\nAnswer: 5251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2994, 3068, 3140, 3210, 3278?\n\"Answer: -b**2 + 77*b + 2918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/71 (b) -0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 145?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167712 - -283981. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 806 - 739. List the prime factors of w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lleleiiiiliiiiii. Give prob of picking 1 e, 1 i, and 2 l.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -56900 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11813 - 37737 = 889*t + 8747 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(2 + -12)*42. Let a = -6 - p. Calculate the remainder when a is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*n = 120, 2*n - 73 = -2*t - 11. Suppose -4*k = 3*w + t, -3*k + 9 + 6 = -3*w. Suppose 3*h = 3*h + 5*h. Put w, 3, h in descending order.\nAnswer: 3, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40613.\nAnswer: 17, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 0.5, -2\/75?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 10*d + 6. Let n be p(-8). Let b be ((-2)\/3)\/(4\/n). Let c be 107\/b + 2\/(-7). What is the highest common factor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008129 rounded to 6 dps?\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*h + 50*h = -3*k - 26675, -39980 = -3*h - 2*k. List the prime factors of h.\nAnswer: 2, 5, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/13 + 1760*n\/13 + 3512\/13 = 0. What is n?\nAnswer: -878, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 6. Let m be t(-6). Let h(c) = c - 4. Let r be h(m). Let f(v) = -v**2 + 3*v - 1. What is the units digit of f(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 3\/3242, -2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6284079126 to the nearest integer?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 335*u - 338*u - 1, -4*u = 2*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5))**(-6\/11)\/(r**1)**(8\/9) assuming r is positive.\nAnswer: r**(-548\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8)\/(185\/(-74))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 1529724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*l + 24, f = -4*l - 3*f - 4. Suppose 0 = -l*i - 2*i + 30. Suppose 13 = 3*r + 1. Solve s = 4*v + r - 16, -5*s + i = 2*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -5, 279, 1, 27 in decreasing order.\nAnswer: 279, 27, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n**4 - 5\/3*n**3 - 10*n + n**2 + 0 + 1\/120*n**6 + 1\/6*n**5. What is j(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 293275, 586340, 879405?\n\"Answer: 293065*q + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 6:14 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r = -18. Let v = -8 - r. What is the units digit of 7\/v*(-176)\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from tggtocgtccotoc.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279718216.\nAnswer: 2, 34964777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11508 by 4.\nAnswer: -2877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12888 + 13081.14. What is u rounded to zero dps?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-762)\/(-8)*316\/3792 - 4*2?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -69, -153, -281, -459, -693, -989?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.4 or -61067369?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, 2\/5, -0.1, -0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m = 48. Suppose r - 2*a - 2*a = -m, -4*r + 2*a = -8. Solve -3*z - r = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/182)\/((-2)\/(-26)). Solve -1 = z*m + 3*f - 4, -3*f + 7 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/15*25\/(-30)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990032 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36841334 = -81*h - 129*h + 52*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*o = -9536711 + 197280766. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v - 2 + 21*v + 3 as s + o*v and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + 2*sqrt(180))**2.\nAnswer: -48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 3:49 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 22, 0 in decreasing order.\nAnswer: 22, 9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) -1 (b) 5 (c) -2049 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 + 21*v - 31. Let r be u(-10). Suppose -r*t + 10 = -158*t. Solve 2*s + 5*i - 10 - 2 = 0, 5*i - t = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11967*s**3 + 17 - 4 - 13.\nAnswer: -11967*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.22, -10, 0.4, 1, 4, -0.58?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*f - 650 = 0, -6*h + h + 690 = 3*f. Calculate the highest common divisor of h and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 48 - 7 = 0. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01588 rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 1005.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 720981291 to the power of 1\/3, to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-88))\/(6\/8 - 0).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -3.4, 4, -0.058, -3\/2, -2 in ascending order.\nAnswer: -3.4, -2, -3\/2, -0.058, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/5 - (-9)\/3*1. Solve -j - 2\/5*h**2 + 4\/5*h = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -20*p - 3. Let c(m) = 30*m + 4. Calculate -5*c(b) - 7*u(b).\nAnswer: -10*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3533012 (base 6) to base 15\nAnswer: -39512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 248 - 223. What is the remainder when v is divided by (-1)\/(2\/(-26) + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 10. Let h be w(-3). Let r be -4 - h\/(0 + 4). Solve -3*b - 3 = -r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -767, -1\/9, 1\/8.\nAnswer: -767, -1\/9, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 5 = -20*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/2211)\/((1\/3)\/(20\/(-30)))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/108 and 70\/33?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 - 2433350*h**3 - 394754259000*h**2 - 21348310164500000*h - 213443628652400000.\nAnswer: -5*(h + 10)*(h + 162220)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/2 (b) -1 (c) -0.4 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*g - 5. Put 1, 0, g in descending order.\nAnswer: g, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 2*b - 1. Let g be u(5). Calculate the greatest common divisor of 70 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 a, and 1 k when three letters picked without replacement from {o: 1, a: 6, k: 13}?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 162*h - h + 123*h to the form z*h + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**5\/15 + 44*n**2. Let i(l) = -24*l. Calculate g(i(s)).\nAnswer: 2304*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 224.8 + -225. Let n = -50 + 148\/3. Which is the closest to 1? (a) 4 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -10*w - 524. What is d(-47)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 + 137 + 26*y**2 - 413 + 143.\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/18*-3)\/(3\/(-2313)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1173 and 5727?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - r**2 - 15 + 12 - 5*r + 2*r. Let m be (-3 + -1)*2*105\/120. What is u(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298716 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -18*n - 3. Let w(f) = 6*f + 1. Let i(h) = 2*o(h) + 7*w(h). Calculate the remainder when 74 is divided by i(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 667523976 + -1.2\nAnswer: 667523974.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 34023*d + 2443*d + 30297*d.\nAnswer: 66763*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24190 is divided by 154?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g + 2. Let v be -3 + 1 + (0 - 2). What is the remainder when 40 is divided by i(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1143, -1140, -1137, -1134, -1131, -1128?\n\"Answer: 3*b - 1146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 0.085015 (b) 0.1 (c) 2 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -0.02 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:43 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 29*l - 127. What is z(-19)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/69)\/((-2)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + n**2 - 3*n - 1. Let p(u) = -u**3 + u**2 - u - 1. Let w(q) = -m(q) + p(q). Let v be w(0). Solve v = -3*o + 7 + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/45 and 42\/47695.\nAnswer: 429255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-117)\/26)\/(10\/4)*20\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 61\/3 of a hour?\nAnswer: 73200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 47 + 3?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.485326 millilitres?\nAnswer: 0.003485326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24547 - -47?\nAnswer: -24500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-2 - -111) + 2. Suppose -2*r + u = -45. List the prime factors of r.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 1. Let g be y(6). Let s(z) = 2*z + 4 - z - 3. What is the units digit of s(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 27 = -4*k. Suppose 4*x + 6890 = 7*x + 7*x. What is the greatest common factor of x and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3*a = 0, -5*a = -4*c - c + 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 1368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/3 (b) -4\/7 (c) 25 (d) 2\/3 (e) -61 (f) 7\/25 (g) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6.07. Let f = -285.0668 + 285. Let s = r + f. Round s to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**5 + 35*v**4 - 560*v**3 - 1880*v**2 + 20400*v - 18000 = 0 for v.\nAnswer: -10, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 5*b - 1. Let v(h) = 13*h**2 + 57*h + 2561. Calculate -v(m) - 11*x(m).\nAnswer: -2*m**2 - 2*m - 2550","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 3*b + 5. Calculate v(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 3, j: 2, h: 2, k: 4}. What is prob of sequence kh?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 237*x - 13 = 235*x, -21 = 5*v - 4*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 6) + (25 + -12 - 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000102110102 (base 3) to base 6.\nAnswer: -15323015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3217*-0.1.\nAnswer: -0.03217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 - -1. Let t = 1805\/9 + -201. Let n = t - -10\/9. What is the third biggest value in q, n, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*k**2 - 2*k**6 + 0*k**6 + 179*k**3 - 179*k**3 wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765435511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k - 2*k = 5282. What is the remainder when k is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-24)\/6) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {g: 2, h: 3, x: 3}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.215 + -0.0155. What is l rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8540 = 2*q, -2*q = -7*g + 3*g - 8536. What are the prime factors of q?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o = -31*o + 3296. What are the prime factors of o?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011111110011010000 (base 2) in base 9?\nAnswer: -7131884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -44, 3 in decreasing order.\nAnswer: 3, 2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -23190.\nAnswer: -23190.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1032 - 1620. Let m = -98 - c. Is m + 3*(-2 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -110, -191, -284, -377?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 3*j**2 - 4*j + 2. Let c be 9 + (-6)\/(-4 - -2). Suppose 5*a + 3*m - 6*m = -2, -c = -4*a - m. Suppose -2*r = -r - a. Calculate h(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -463744523*j**2 - 374623503*j.\nAnswer: -927489046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -44, -56, -74, -98, -128?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (2 + -5 + -2*sqrt(475))**2)*2 + 2.\nAnswer: -19118 - 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 8:11 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + n - 19 = 0, -2*l + 13 = 31*n - 28*n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*s + 480 = -300*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n = 32*n + 230 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - s + ((2 - 1 - 4)*(-2 - 3 + 4) - 3 + 2 + 2)*(-728*s + 512*s - 913*s))*(3 - 3 - s) in the form g + q*s**2 + o*s and give q.\nAnswer: 4517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.4254482 * 0.5.\nAnswer: 6.7127241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5130.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40.2 + -40.4. Suppose 16 = 4*a - 16. Let f be (-2)\/a + (-19)\/(-12). Put 1\/2, s, f in increasing order.\nAnswer: s, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + i = -3*i - 14, -3*c - i = -81. Suppose 32*m - 130 = 27*m. Calculate the greatest common divisor of c and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3.9, 6414, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58*(-68)\/2958*9*(-6)\/20.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116*d**2 + 83287*d + 1831146.\nAnswer: 232*d + 83287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k + 60 = -52*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 10*u**2 + 11*u + 21. Let t be m(-9). Find the third derivative of 0*c**3 + 0*c**t - 7*c**2 - 15*c**3 wrt c.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5031000 to the nearest 100000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/3 - 12*v + 54 = 0. What is v?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3077006 is divided by 19352?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/65835 and 37\/12320?\nAnswer: 2106720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1 + -3 + ((-6)\/44)\/(51\/(-850)))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 6:46 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 2\/3*h**2 - 140\/3 = 0 for h.\nAnswer: -14, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1237 - 3?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.717636+-0.03259484\nAnswer: -0.75023084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*q = -3, -369*m = -372*m - 2*q + 5. Factor 5\/2*x**2 - 2*x**m + 1\/2*x**4 + 0 - x.\nAnswer: x*(x - 2)*(x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1053*o - 220. Is h(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/231 + -103\/462. Let y = 5\/7 + d. What is the third smallest value in -4, -22, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcc when three letters picked without replacement from dzczczddzddd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(475) - (3 + 1 + sqrt(475))) + -1)**2 + ((sqrt(475)*-1*-4 + sqrt(475))**2 - (2 + sqrt(475) + -1)**2) + 3.\nAnswer: -10*sqrt(19) + 11483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3194*a**3 + 124*a + 0 - 3*a**2 + 2 - 3195*a**3 to w*a**3 + m + h*a + k*a**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 1, h: 9, u: 6}. Give prob of picking 1 u and 1 l.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -121\/6? (a) -17\/5 (b) -0.3 (c) 5 (d) -3\/16 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, m: 8, q: 3, r: 1, z: 2, l: 1}. Give prob of picking 2 z and 2 m.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -8*l**2 + 50*l - 9. Let n be c(6). What is the third derivative of 9*i**4 - i**4 - 4*i**4 + 126*i**2 + 4*i**n - 6*i**4 wrt i?\nAnswer: -48*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 6, -1 in descending order.\nAnswer: 6, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3 + 0*q + 0*q - 2*q + 0*q. What is the remainder when n(-1) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/13 (b) 3\/4 (c) -309327 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 + 16*p + 88 + 128 - 297.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 1 - (-22 + (26 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5279085412?\nAnswer: 2, 17, 29, 373, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 232241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(76))**2.\nAnswer: 8*sqrt(19) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51136 and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 - 22 + 58)*(2 + 4*j + j - 4*j) as w + c*j and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 2*c**3 - 2*c**3 + (0*c**2 - 2*c**2 - c**2)*(7 - 3 + 5)*(3*c - 14*c + 33*c).\nAnswer: -597*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 322 - 317. Let w(l) be the third derivative of -1\/35*l**7 + 1\/40*l**6 + 0*l + 1\/112*l**8 + 0 + n*l**2 + 0*l**4 + 0*l**3 + 0*l**5. Factor w(k).\nAnswer: 3*k**3*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -1\/2, -0.3, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 122620 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4755 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 24*g**2. Let p(f) be the third derivative of 71*f**5\/60 - 325*f**2. Determine p(d(v)).\nAnswer: 40896*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 1) + (-292)\/6. Let m = t + 47. What is the nearest to m in 0.2, 1\/2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006*f**2\/13 + 5014*f\/13 + 80\/13 = 0 for f.\nAnswer: -8\/503, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -18, -2 in increasing order.\nAnswer: -18, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-14)*-1 - (-3)\/(-2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**2 - 2*z**2 - 3*z**2)*(-12*z - 35 + 35) + 0*z**2 - 2*z**3 + 0*z**2 + (-2*z**2 + 92*z**2 + 119*z**2)*(3 + 2*z - 3).\nAnswer: 392*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -158679.14 * -11\nAnswer: 1745470.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((135\/15)\/(-36))\/(2\/(-8)). Suppose 19 - 9 = 2*m. Suppose 6*v + 2*y - 15 = v, -5*v = -m*y - 15. Solve 11 + n = v*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1840306?\nAnswer: 2, 13, 37, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 7. Let x = 1.1 + b. Are 3 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 469\/(-28)*(-4 - 0). Let p = z + -62. Solve 5*o = -5*d - p, 1 = -2*o + o - 5*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 121241183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l**2 - 10. Let y(q) = -14*q**2 - 68*q + 42. Let f(r) = 8*r**2 + 40*r - 25. Let d(n) = 17*f(n) + 10*y(n). Determine -5*d(i) + 2*g(i).\nAnswer: 2*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4304011961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 10:16 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1076 and 4?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**3 - 2*b - 2 + 0 + 4*b**3)*(-6*b - 63*b + 25*b) - 2*b**4 + b**4 + 0*b**4 to the form u*b**4 + x*b**2 + z*b**3 + j*b + r and give u.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*y - 213 = 0, 2*y - 5 = -13. Suppose -805 = -5*j - 5*m, -m = 3*m + 4. What is the remainder when j is divided by u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -120828 > -120826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**3 - 11107771*g**2 = 0.\nAnswer: 0, 11107771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 201325 - 10044 = 4*x, 5*x = 3*b + 239114. Suppose 3*u + x = 4*k, 2*k + 3*u = -2*k + 47851. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sunavao. Give prob of picking 1 n, 1 o, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nevb when four letters picked without replacement from {e: 4, n: 1, f: 1, j: 6, v: 1, b: 2}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**5\/40 + 5*o**4\/8 + o**3\/2 + 3*o. Let b(w) be the second derivative of j(w). Let c(h) = h - 4. Give -4*b(g) - 15*c(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:44 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2154.8 + 2155.1. What is the nearest to -2\/7 in 1\/8, v, 1, -25?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*q = 0, -q = -5*i + q. Let u be (i - -5 - 2) + -2. Suppose 3*b + u = 4. Solve b = 5*y - 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2. Let s(w) be the third derivative of -29*w**4\/6 - 72*w**2. What is k(s(y))?\nAnswer: 13456*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1390232 is divided by 1096.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -1. Let c(m) = 2*m**2 + 0*m**2 - 8*m - 11 - 5*m**2 + 5*m**2. What is the tens digit of c(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -35*g**2 - 5*g + 12*g**2 + 5*g**3 + 50 + 28*g**3 + 18*g**3. Let s be c(10). Round s to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -621, -1207, -1769, -2313, -2845, -3371?\n\"Answer: -d**3 + 18*d**2 - 633*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -21*q**3 + 7*q**2 - 7*q + 7. Let z(y) = -14*y**3 + 5*y**2 - 5*y + 5. Give 5*m(j) - 7*z(j).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228 - j - 228 to the form h + z*j and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 0.4, 0.14, -5, -14, -0.2?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 + -105. Let o = 0 - 0.1. What is the third smallest value in 2\/9, o, v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 76 = -1713*z + 1709*z, -4*v - 5*z + 40 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(8 - (-2 + -1)\/(-1)). Let p be o\/(-1 - -2) + 0. Let m(v) = -v**2 - 4*v - 3. Calculate m(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 628 divide 1097534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/b**(-2\/3))**(-2\/89)\/((b**(1\/3)*b)\/(b**3*b)*(b**1)**(1\/22)) assuming b is positive.\nAnswer: b**(5015\/1958)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - 13. Let l be (8\/6)\/((-1)\/i). What is the common denominator of 27\/14 and 1\/l*118 + -3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 918564*g = 918398*g + 7636 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 v, 1 j, and 1 c when four letters picked without replacement from {j: 1, v: 1, k: 1, m: 2, x: 1, c: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2)\/g)**(2\/7))**15*(g**2*g)\/g**0*(g*g\/g**(-4)*g)\/g**(-1) assuming g is positive.\nAnswer: g**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 x, and 2 i when four letters picked without replacement from hvihiliyllliyyxiiv.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 254. Let u = f - -220.2. What is the nearest to 6\/7 in -5, 2\/5, u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**2 - 6*c**5 + 5*c**5 + 4*c**2 wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*k + 456 = 0, -3*c + 13*k = 18*k + 456. Does c = -153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -70. Let y = -31 + w. Sort 34, y, 0.2 in descending order.\nAnswer: 34, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -16.1. Let q = -1.0995 + p. What is q rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -22. Let m = -19 + z. Is 15 a factor of 29 - (-3)\/m*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 60*h**2. Let a(v) = -10*v - 1 - 12*v + 1 + 24*v. What is a(j(w))?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*y - 23073, 5*y + 5*z + 22894 = -15571. Let s = y - -13490. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1642 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59407048 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:49 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/5*70\/105.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.2 (b) -1 (c) 0.4 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131809?\nAnswer: 89, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 11:31 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/49 + -339\/196. Let f = -0.1925 + -0.0245. Let n = f + -2.783. What is the second biggest value in 2, n, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from xvccxxl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/(-2))\/(4161\/(-2774)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u + 4*h = -63, -2*h + 45 = -3*u. Let z(t) = -7*t - 7. Let d(i) = -20*i - 20. What is u*z(x) + 6*d(x)?\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**6\/40 - 3*l**4\/8 + l**3 - 21*l**2 + 4. Let g(d) be the second derivative of r(d). Factor g(c).\nAnswer: 3*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 632170 and 3284.\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**3 + 54 - 54.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 3, 2, 35, -7 in decreasing order.\nAnswer: 35, 3, 2, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -80, 16.6, -1\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15655701 is divided by 663?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (846*i**2 + 885*i**2 - 1731*i**2 - 8970*i**3)*(-i - 2*i + i).\nAnswer: 17940*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(1500)\/sqrt(12) - (sqrt(5) + 1 + 5)) + -4.\nAnswer: -14 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 209, 2\/5, -2\/319, -3, -95, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.792012 to 2 dps.\nAnswer: 1.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -918.7 to the nearest ten.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -11*l + 83. Let t be k(8). Let z be 105\/20 + t - 1\/(-28). Sort -0.06, 0.3, z, -0.1 in increasing order.\nAnswer: -0.1, -0.06, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 divided by 4\nAnswer: 133\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1073065 and 18800?\nAnswer: 4034724400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.07, -1, -7, -8?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2445388000 is divided by 2458?\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 15. Let d(q) = q**3 - 6*q**2 + q - 6. Let f be d(6). Let v be w(f). Suppose 3*g - 12 = v. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 8 = -u, 4*u + 16 + 6 = -2*t. List the prime factors of t + 390\/4*4.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/602*(-21)\/(-6).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 12*d + 3. Let i be u(-12). Suppose 0 = 3*b + 4*j - 14 - i, 3*b - 3*j = 3. Solve -b*w = -w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 38 = -2*k, -k - 2*k = -c - 46. Let w be (-2 + 0 - 0)\/((-76)\/(-1634)). Let z = 4 - w. Calculate the remainder when z is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**8\/56 + 3*q**4\/4 + 9*q. Find the third derivative of s(g) wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 8*d - 14 = 6*d, d = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 c when three letters picked without replacement from oaocacooaoao.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s + 3*s**2 - 8*s**2 - 9*s**2 + s**2.\nAnswer: -13*s**2 - 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -377 + -18364?\nAnswer: -18741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 + 3*j**5 - 3*j**2 + (-2*j**3 + 4 - 4)*(j**2 + 0 + 0) + j - 261*j**2 + 139*j**2 + 251*j**2 + 3*j**5.\nAnswer: 4*j**5 + 129*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3, -6218\/11, 0.4, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 - s**2 + 0*s**2. Let f(h) = 99*h - 99*h - 5*h**2. Give f(c(k)).\nAnswer: -125*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o - 30. Calculate the least common multiple of 20 and p(-6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 381*f - 1961. Determine b(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 6*d - 10*d + 45, 5*d - 5*l - 50 = 0. Let t = 15 - 9. What is the highest common factor of d and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185 - 182. Suppose -2*r + 257 = j, -6*r = -d*r + 5*j - 368. What are the prime factors of r?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 16 = 0, -320*h + 325*h + 24 = 16*q for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/(-3)*1040\/(-25). Suppose 3*s - 2*p = -s + 204, -p = -4*s + d. List the prime factors of s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.5 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y + 13. Does 2 divide t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 9*m - 3. What is the smallest common multiple of r(12) and 120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 3*y + 4. Let j be u(-3). Let q be (-73)\/j*1*-4. Suppose 3*v + 483 = 4*s - q, -5*s - 160 = v. What is v rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*p + 8, 3 = 5*p + 8. Suppose 3*v - 74 - t = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-8))\/((-195)\/2080*(-6)\/(-3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-40)\/12 + 0)\/((-4)\/6). Suppose 0 = 5*b + 5 + 15. Let u(j) = -j**3 - 4*j**2 - 3*j + 2. Let n be u(b). Solve t = -3*p + n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10344097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -367 - -117. Let v = 214 - f. Let u = v + -1933\/4. Calculate the common denominator of -1\/6 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 209.9, -1, -3, -0.2, 0, -136?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 1079714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (3 + -3)) + 46. List the prime factors of -1 + -2 + (d - 4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**5 - 2*l**5 - 2*l**5 + (-l**2 + 69*l**2 - 139*l**2)*(2*l**3 + 0*l**3 - 3*l**3).\nAnswer: 63*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3315 divided by -278.\nAnswer: 3315\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1834)\/(-21222)*6\/7.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -11750*a - 70452. Calculate p(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 936 and 351?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84541.\nAnswer: 17, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(162) + -2*sqrt(162) - sqrt(162)) + 3 - (sqrt(162)*-1 + 0 - -1*sqrt(162)*-1)) + -2)**2.\nAnswer: 144*sqrt(2) + 10369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2156550?\nAnswer: 2, 3, 5, 11, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 2, f: 4, x: 5}. Give prob of picking 1 f and 1 t.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 18*o**3 - 5*o**2 - 10*o - 9. Let k(f) = f**2 + 2*f + 2. Let a(u) = 4*k(u) + w(u). Suppose 3*h + 5 = 2. Give a(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 = 2*i - 10, -4*i = 5*x - 15. Let o be -14 + (3 - -1) - -3. Let h be (4\/o)\/((-8)\/28). Solve -2*w + 4*w + 15 = i*z, 0 = -5*w + h*z + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/178898957?\nAnswer: 4\/178898957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/25 (b) 0.9 (c) -0.1 (d) 0.86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -5, -4, -1, 4, 11, 20?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -8. Suppose 0*l + l = 3. Suppose l*a = f*a + 6. Let v(i) = -i**3 - 3*i**2 - 2. Give v(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65833?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 375, 544, 701?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 20. Suppose -p - 2 - 28 = q. What is p rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + sqrt(704) + 1 - (-3 + sqrt(176)*-1)**2) + -2.\nAnswer: 64*sqrt(11) + 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4672 and -1270.\nAnswer: 593.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 2*t**3\/3 - t**2 - 2*t + 26. Give j(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*o - 1545 = 3*o, -5*f - o = 2567. Let p = -164 - f. What are the prime factors of p?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10367125289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.11 + 24. Let u = -0.09 + x. Let y = 1 - 0. Which is the nearest to 0.1? (a) u (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/15 - 754\/10. Let k be (12\/i)\/((-9)\/6). What is the second smallest value in 5, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.305100414 rounded to two dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15579 is divided by 3041?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c - 167 = -42 - 14 + 279 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(30\/(-4)) - 2. Solve z = -8*o + 7*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 5*y - 2. Suppose -5 = 2*h - 3*o, 5*h + 14 = 2*o - 4. Calculate the remainder when 17 is divided by x(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0\/(-1) + 21)\/((-1106)\/(-84) + -13) is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 5*q - 2*q)*(2 + 0 - 3)*(-2*q + q + 0*q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1\/t)**(-1\/12)*t**2\/(t*t*t**(1\/7)*t))\/(t**(2\/3)\/(t\/(t**(-4\/9)\/t)*t))**34 assuming t is positive.\nAnswer: t**(5878\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 309*a + 9933. Determine d(-34).\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 579 + -273. Suppose m - 15 = 4*c - k, 0 = -4*c - 5*m + 273. Let h = -20 - -29. What is the highest common factor of h and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rii when three letters picked without replacement from rrrirrrriirrir.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/15))**(3\/14))**23\/(u**6*u*u\/(u*u\/u**(8\/3))*u*(u*u**(-1))**(-12\/11)) assuming u is positive.\nAnswer: u**(-946\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3472\/(-140) - 171\/(-45).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03593613225 rounded to five dps?\nAnswer: 0.03594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:20 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.874883m?\nAnswer: 0.005874883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*p + 5 - 249 - 260 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -5. Let m(n) = n**2 - 17*n + 22. Calculate the least common multiple of r and m(16).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4\/4 - 5437*a**3\/2 + 3653906*a**2 - 2636994563*a\/2 + 5259384375\/4 = 0.\nAnswer: 1, 749, 9375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -712, -1284, -1576, -1450, -768?\n\"Answer: 23*k**3 + 2*k**2 - 739*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*b**3 - 3364*b**2 - 27*b + 4027301 wrt b.\nAnswer: 57*b**2 - 6728*b - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 - 164639*j + 164640*j + 4*j**4 - 12 - 2*j**3 - 5*j**2 + 2*j**2 as l*j**4 + w + r*j**3 + n*j**2 + k*j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*q**2 + 21516*q + 75404.\nAnswer: -4*(q - 2693)*(2*q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35\/6 (b) -0.1 (c) -2\/19 (d) -2\/17 (e) 0 (f) -125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 22 - 3 = 0. Let j = z + 7. Let i(s) = 2*s**3 - 1. Let p(y) = -y. Give j*p(o) + i(o).\nAnswer: 2*o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627912.1ml to litres.\nAnswer: 627.9121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 17*q**2 + 118*q + 1533. Determine c(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 - -178. Let g be 0 - 2 - (-140)\/a. Are 1 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from {q: 3, c: 4, f: 4, e: 9}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + k + 1. Let q be g(2). Suppose -q = 5*h - 57. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h - 3*j - 18, 5*h + 3*j = 14. Suppose 4*b = -5*s + 88, -h*s + 2*b + 83 = b. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 2397, 8897, 21541, 42369, 73421?\nAnswer: 116737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**5 - 498*u**4 + 20658*u**3 + 1500*u**2 - 62997*u + 41334 = 0. What is u?\nAnswer: -2, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/382 or 0?\nAnswer: 5\/382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 13 - 15*c**2 + 22*c**2 + 6*c + c**3 - 2*c**3 + 4. Let n be b(8). Let x(f) = 14*f**2 - 3*f + 1. Is 3 a factor of x(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 3:21 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -375156 (base 10) to base 15.\nAnswer: -76256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4, -3, 369, -0.073, 3 in descending order.\nAnswer: 369, 3, -0.073, -0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -14, 37, -2, -38 in descending order.\nAnswer: 37, 6, 3, -2, -14, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3180)\/(-16) - (-5)\/20. Let p = -104 + a. List the prime factors of p.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 - (4 + 0 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(-1 + 0 - 1) - 2 + 1 + 3 + 3 - 4 - 1)*(-5*k - 6*k + 3*k + (-3 + 0 + 5)*(4 - 4 + 2*k)) + 3*k + 3*k - 5*k + (-k + 4 - 4)*(-2 + 2 - 1).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + p - 8, 0 = 4*c - 4*p - 28 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -1\/3*h**2 + 2\/3 + 1\/3*h = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 210 - 5?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 6815.485\nAnswer: -20446.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8*x = 6. Let l(v) = -2*v**x - 3*v**2 + 6*v**2 + 7 + 7*v. Let b(w) = -6*w**2. Let p be b(-1). Determine l(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 319 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 7:32 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1474 = -62*a - 5*a. What is the smallest value in a, -2, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1148278 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(sqrt(153) + -2)*6 + -4)*-5.\nAnswer: -15 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65440375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(605)*3)**2 - (sqrt(605) + 3 + 2).\nAnswer: -27230 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/80 and 85\/56.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-2) - 318465\/(-105). Calculate the greatest common factor of 132 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 230.83 + -245. Let z = 0.17 + v. Let s = z - -10. Sort s, -2, -2\/3 in descending order.\nAnswer: -2\/3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 4*y**2 - 3*y. Let x be c(3). Suppose j + 0*j - 3*b = x, -b = 1. Let g(q) = 2*q + 4. Let v be g(j). Which is bigger: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2309385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23\/265 + 6\/53. Let z be 0\/(1 - -4) - -3. Suppose 0 = 3*f + z*p + 6, 2 = p + 4. Which is greater: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6582, 1, -87 in descending order.\nAnswer: 6582, 4, 1, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q - 4*q)*(-2*q**2 + 2 - 2) + q**3 - 4*q**3 - q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -185 + 181. What is the third biggest value in -1.28, 5, a, 0.3?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -628903, 5 in decreasing order.\nAnswer: 5, 3, -628903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -93. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 208 = -619. Let v = l + 8. Let d = 184 + v. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 + -53 - -55) + -19.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-90)\/(-27))\/(3\/81). Let h be v\/(-60) - (-854)\/564. Is h > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**3 + 311*x**2 - 719*x - 34719. Calculate u(-52).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -12*i + 95. Suppose 4*x = -h + 3*x + 80, i*h + 2*x = 388. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37353935 and 70.\nAnswer: 522955090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -14 - 10. Let k(m) = -4. Let y(z) = z. Let n(w) = -k(w) - 2*y(w). Determine n(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 60 = -v, 4*q - 3*v + 5708 = 5549 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208*m**2*p**3 - 12*m**2*y**2 - m*y**2 - 2*p**3*y**2 + 2*p**2*y wrt p?\nAnswer: -1248*m**2 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j + 32 = 2*l, 0 = -5*j - l + 160. Suppose -10*o + 32 = j. Solve o*t - 3\/4*t**2 + 0 - 3\/4*t**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/25)*r)\/(r*r\/(r\/(r*r*r**(-1))*r))*r**3*r**(1\/4)*r*r assuming r is positive.\nAnswer: r**(517\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5638848 divided by 234952?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -324, -325?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/9 + 1592*y\/3 + 229222\/9 = 0. Calculate y.\nAnswer: -2339, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/3, 7.018, -4\/7 in ascending order.\nAnswer: -4\/7, 2\/3, 5, 7.018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15598 = -806*y + 6164 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 57. Suppose s*b - 13*b = -124. Factor 3*j**3 + 5 + 45*j**4 - 6 - 1 - b*j**2 - 21*j + 6*j.\nAnswer: (j - 1)*(3*j + 1)**2*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, o: 8}. What is prob of picking 2 o?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -537 - -539. Let p(w) be the first derivative of -7*w + 1\/2*w**s + 6. Let z(k) = 3. What is 2*p(u) + 5*z(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88173 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6467*a - 19372. Calculate the remainder when (-2)\/(-8) + 551\/4 is divided by c(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-16)\/508) - 6\/(-24). What is the remainder when 3 - (1 - b\/2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.584 + 0.016. Let i = h + -8. Sort -4, i, 2 in decreasing order.\nAnswer: 2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**4\/12 - a. Let m(y) = -86703 + 43350 + 43353 + 15*y. What is m(i(u))?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 11:10 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 5*u**4\/8 + 2*u**2. What is the remainder when i(1) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -570, -426, -314, -252, -258, -350, -546, -864?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + s + 12 = -3*s, -2*s + 6 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/((-8)\/(-16)). Let t(r) = -2*r - 2. Let g be t(-2). Let n(d) = -4*d**2 - 2*d**g + 4*d**2. Calculate n(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**4 - 5*b**4 + 2*b**4 + (-2 + 2 - 2)*(-3*b**4 + b**4 + 0*b**4) + 18 - 47*b**4 + 91*b**4 - 46*b**4.\nAnswer: 3*b**4 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 168. Suppose 1596000 = -114*c + g*c. What is c rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 33. Let w be 6\/(-10) - t\/(20\/92). Suppose -w*d - 2*c + 214 = 0, 0 = d + 3*d - 5*c - 207. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782.0186cm to meters.\nAnswer: 7.820186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4817*g**2*y + 9*g*y - 52*g + 1 wrt g?\nAnswer: 9634*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 t when four letters picked without replacement from {v: 2, o: 1, q: 6, t: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.323277 + -0.3922815. Let h = -0.069 - y. Round h to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -2 (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1123 (base 8) to base 6.\nAnswer: -2431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -122*v - 11472. Determine f(-94).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.991829 seconds to minutes.\nAnswer: 0.13319715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 7520. Let x(z) = -5*z. Calculate u(x(w)).\nAnswer: -5*w - 7520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*k - 12 = 0, -7*k + 15 = -12*k. Solve -r + 4*x = -f - 11, r = -4*x - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4112 and 0.071.\nAnswer: -291.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*-2*(sqrt(539)*3 + -5 + sqrt(539))*-1.\nAnswer: -168*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 11:54 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 480\/(-50)*385\/(-231)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 v when four letters picked without replacement from owxowoowvxwoooo?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bb7 (base 12) in base 5?\nAnswer: -102301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -10 + (12 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -58. Which is the closest to j? (a) 0.2 (b) 1 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -112, -165, -218, -271?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**4\/24 - g**3\/6 + 2*g**2. Let z be x(1). Let m be 2\/30 + z\/(-6). Does 0 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 225216352*t**3 + t**2 + 1784882*t - 11.\nAnswer: 1351298112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/19047 and 71\/38094?\nAnswer: 38094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 60 - 88 - -8 - -32\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:59 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1252999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111011011110111011 + -100?\nAnswer: 1001111011011110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/66 and -35\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1\/19 (c) 3 (d) 8.08106 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*z = -79*z - 60. Let a be -1 - -1 - ((-36)\/z)\/6. Factor 2\/5*l**2 - 6\/5*l**3 + 6\/5*l - a.\nAnswer: -2*(l - 1)*(l + 1)*(3*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 4*d + 1. Let u be a(-5). Suppose -u = -o - 4. Let k = 25 - 16. Solve 0 = 3*s + k, 4*x - 2*s - 12 = o*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x - 17. What is q(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 15 = -2*d + 3*t, -8 = -4*d - 2*t. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/5 or -42?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/260 and -43\/40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 8965494900 to the nearest 1000000.\nAnswer: 8965000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6890 and 8203.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8733, -17417, -26097, -34767, -43421, -52053?\n\"Answer: x**3 - 4*x**2 - 8679*x - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**6\/120 - u**5\/12 - u**4\/24 - u**3\/2 - 2*u**2. Let a be x(-5). Is 4 a factor of a*((-108)\/(-8))\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 0*h + 2*h**5 - 17*h**5 + 2*h**5 - h**5 + (h**3 + 4*h**3 - 4*h**3)*(2*h**2 - 2*h**2 + 3*h**2) - 3*h**5 - h**5 - 2*h**5.\nAnswer: -17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 19. Let f be l(14). Let h be ((-8)\/12)\/(1\/f). Let p be (145 + -140)*(-28)\/(-10). Solve v = z + h, -p = z + 2*z - v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 8*l**2 + l. Suppose -5*w - 21 = 19. Let b be z(w). What is the common denominator of b*(-7)\/34 - 4 and -13\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*y = 333 + 222 + 290 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(1539)*-2*5.\nAnswer: -90*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + 1 - sqrt(10)\/sqrt(5)*-3) + -4.\nAnswer: -3 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -344320410 + 3?\nAnswer: -344320402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 3:14 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 34632987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3325.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -324 - -324. List the prime factors of c + 4806\/8 - (-5)\/20.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 + (-22)\/(6 + 16) and 148.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1 + (-1 + sqrt(2205))**2 + 3 + -2*sqrt(2205))*-5)*6.\nAnswer: -66234 + 2520*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m + 40*m = 18. Let n(l) = -3*l**3 + 3*l**2 - 2*l - 5. Let q(c) = -10*c**3 + 10*c**2 - 7*c - 16. Give m*q(p) - 7*n(p).\nAnswer: p**3 - p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven eighths of a millisecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 973, 1040, 1107, 1174, 1241, 1308?\nAnswer: 1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7*628.2658\nAnswer: 4397.8606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13649502 and 6.\nAnswer: 13649502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 10:35 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87559616483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8167039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -4, 12\/13, 3, -938, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -24. Let q = 61.1 - 61.2. Let l(g) = -2*g + 1. Let y be l(-2). Which is the closest to q? (a) y (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 12401690.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (sqrt(243)*1 + sqrt(243) + sqrt(243)))\/(sqrt(108)\/(-1*sqrt(12))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13\/2 - -25\/4. Let g be 1\/4*(-32)\/44. What is the nearest to 0.08 in -0.2, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 1118.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.5 - 23.321. Let w = -0.078508 + -0.100419. Let u = w + f. What is u rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, v: 3, m: 8, f: 3, j: 3}. What is prob of picking 2 j and 2 v?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.248868 to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15032 (base 6) in base 16?\nAnswer: -95c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98.3 - -5.3. Let i = a - -76. What is the second smallest value in 4, 0, 2, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1731922 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532757 is divided by 380?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -31785 divided by -4?\nAnswer: 31785\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 18333*c**4 + 8*c**2 + 16*c + 4418. Let x(i) = 6110*i**4 + 3*i**2 + 6*i + 1472. Let h(r) = 3*f(r) - 8*x(r). Find the first derivative of h(o) wrt o.\nAnswer: 24476*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386669445.\nAnswer: 3, 5, 23, 1120781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*b + 66 = 212*b. Put b, -2, -5 in descending order.\nAnswer: -2, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -3\/5 (b) -2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1001*w - 988*w = -2006*w - 646 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1867 and 56?\nAnswer: -104552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v + 26*v = 2*m - 22, -v - 3*m + 7 = 0. Solve 2*u + 8 = 0, -v*n + u = -3*u - 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -3.6, 12.9, 0 in ascending order.\nAnswer: -3.6, 0, 3, 5, 12.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/273*(-6 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0454 - 30.7454. Round d to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -5*m**2\/2 + 18*m - 65. Let g be a(4). Let l(p) = -4*p. Let f(s) = -4*s. What is g*f(h) + 3*l(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 19*y + 120 = 0, 4*v - 430*y + 434*y - 96 = 0 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 17*t = -5*m - 799, -2*t - m + 403 = 0. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeoeooeoooee. What is prob of picking 4 o?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 6*j**2 - 2*j + 9. Give w(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -208*i**6\/5 - 319*i**3\/3 - 3*i**2\/2 + 104*i + 5. What is the second derivative of a(k) wrt k?\nAnswer: -14976*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 4, 17, 0.315, -4, 32?\nAnswer: 0.315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -362 - -335. Which is the third smallest value? (a) 0 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 2*w - 1. Suppose -x = 5 - 3. Let v be p(x). Let k be v\/(-9)*(-2 + 2). Solve -4 = -k*i + i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*c + 47*c = t - 269, -5*c + 435 = -t. What is the highest common divisor of c and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16336 - 16337. Let t = 0.1 - 0.1. Which is the closest to t? (a) p (b) 11 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70224808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w + 3. Suppose c - 5 + 4 = 0. Let g = -10 + 11. Let h(n) = g - 3 - n + 1 + 0. Determine c*u(y) + 3*h(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t - 6 = 0. Suppose 7*i = -20*i + 162. Calculate the remainder when i is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1474634 or 1474557?\nAnswer: 1474634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1299 by -1.\nAnswer: -1299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*d*k**3*z**3 + 2*d*k**2*z**3 + 56*d*k**2 + 5*k**4*z + k**2*z**2 wrt k.\nAnswer: -216*d*z**3 + 120*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f*f)**17*(f\/(f\/f**5)*f)**30 assuming f is positive.\nAnswer: f**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7100 is divided by 788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/6327 and 67\/15.\nAnswer: 31635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2641 and 417.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9318 and 16.\nAnswer: 14.9088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3487 from 3.\nAnswer: -3484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.606.\nAnswer: -0.1212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(405) - (sqrt(5) - (sqrt(5) + 2*sqrt(20))))**2 + -3 - ((-1 + sqrt(80)*1 - (sqrt(80) - (sqrt(80) + 3*2*sqrt(80) + sqrt(80)))) + -5)**2.\nAnswer: -2514 + 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + 9. Suppose g + 0*g - 31 = 0. Suppose 4*l - 25 - g = 0. What is the remainder when c is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42085606 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 times 1.44?\nAnswer: -3.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l**3 - 1\/60*l**5 - l + 2*l**2 + 0 + 0*l**4. Let p(x) = -41*x**2. Determine f(p(a)).\nAnswer: -1681*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.872 and 0.3?\nAnswer: -1.7616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 7. Suppose k = 1, -5*v = 2*k + 2*k - 84. Calculate the remainder when v is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 3*a**4\/4 + 13*a**3\/3 + 20*a - 12. Differentiate j(y) wrt y.\nAnswer: 9*y**2 + 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -12.17. Let k = g + 0.1. Let h = 0.07024 + k. Round h to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15020 + -3611. List the prime factors of k.\nAnswer: 3, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177195 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 4*b**2 - 7*b - 6. Let i be y(6). Suppose 2*g = i + 4. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -36, -51, -84, -141, -228, -351?\n\"Answer: -z**3 + 4*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1020)\/(-36))\/(5\/2))\/(22\/(-33))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*b = -169 - 94 + 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a factor of 1004650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (434\/(-124))\/((-5)\/10*8\/(-2)). What is the second smallest value in 0.08, r, -2, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36676 by 692.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**2. Let j(y) = -7*y**2. Let i = -5143 - -5148. Give i*g(o) - 6*j(o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9163, 15773, 22383, 28993, 35603?\nAnswer: 42213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h. Let d be (-20)\/6*42\/(-35). Suppose 0 = 4*w - 5*m - 3 - 1, -d*m - 4 = -3*w. Let f(i) = -i**2 - 19*i. Let k(j) = w*f(j) - 22*o(j). Factor k(u).\nAnswer: 4*u*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1)*(2 + -3). Solve -3*y + h - 7 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 622, 615, 604, 589?\n\"Answer: -2*s**2 - s + 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752462?\nAnswer: 2, 3, 17, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 2.5. What is the nearest to -2\/5 in 0.4, f, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*y - 15328 = 0, 3069 = -5*g + 6*g - 4*y. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (381 + 95670*a - 169 - 212 - 4301*a)*(-a**4 - a**4 + 3*a**4).\nAnswer: 91369*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 6) to base 16\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3968, -31680, -106880, -253310, -494712?\nAnswer: -854828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 15) + 2 + (-51 - -57) + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y - 1. Let u(o) = 32*o + 4. Let w(p) = 33*f(p) + 6*u(p). Calculate w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634412956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 99.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l*p*s - 56*l*p*u + l*s - 3*l*u + 2*l - s*u wrt p.\nAnswer: l*s - 56*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from bbjjjzjjkjdz?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j. Suppose 2*h = 4*h + 2. Let m be c(h). Suppose -g - l = -6, -5*l - 10 = -m*g - g. Solve g*w + 7 = 2*w - d, 3*d = -5*w - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbarrarr. What is prob of picking 2 r and 1 b?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0*h**2 - h + 0 + 0*h**3 + 3\/20*h**5 + 1\/6*h**4. Find the third derivative of j(p) wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 18 = -2*s, 0*o - 2*s - 6 = -o. Let l(z) = -5*z - 24. Let p be l(-6). Calculate the highest common factor of p and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3))**(-1\/2)\/(n**(3\/4)*n**(-5)\/n) assuming n is positive.\nAnswer: n**(61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 3:59 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/48)\/(27*(-6)\/(-108)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 2, 80 in increasing order.\nAnswer: 0, 2, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 + 11 + 2*p**4 - 1 - 7*p**4 wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685766.\nAnswer: 2, 41, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 257, 274, 291, 308, 325, 342?\n\"Answer: 17*f + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**5 + 10*d**4 + 85*d**3 + 10*d**2 - 260*d - 200 = 0 for d.\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -644 or -641?\nAnswer: -641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156 + -77. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151\/72 - 15\/8. What is the third biggest value in 0, z, 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 20*x = -2*w + 492914, 0 = -3*w + 4*x + 739381. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5458 + -5358. Calculate the remainder when 445 is divided by s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 9\/28468, -1\/4?\nAnswer: 9\/28468","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124925*c**2*p**3 + 159386*c**2*p - 16*c*p**3 - 4*c + 2*p**2 + 1 wrt p.\nAnswer: 749550*c**2 - 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*g**3*i**2 + g**3*i - 6*g**2*i**2 + 17*g**2*i + 184*g*i**2 - 3*i**2 + 3*i - 3398 wrt i?\nAnswer: 138*g**3 - 12*g**2 + 368*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 200 - 92. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -43526.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71484 + -25273. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 28158173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 1. Let m be t(1). Suppose -m*z = 5*s - 25, 3*z + 2*s = 2*z + 9. Let x be 10*(90\/4)\/5. Calculate the greatest common divisor of x and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35638.02 millilitres in litres?\nAnswer: 35.63802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.1. Let c = -1144\/3 + 381. Sort -7, n, c in descending order.\nAnswer: n, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f**3 + 23*f**2 + f + 16. Calculate t(-4).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-30 - -11) + 116 + 19 + -4?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 49. Let m(f) = 5*f - 17. Let k be m(5). Let y be 1\/(-3)*(-12)\/k*0. Solve -2*a - 6 = 4*n, y = i*a - n - 1 + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1464106*k**2 + 3270191 wrt k.\nAnswer: 2928212*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 1148*x**2 + 2216*x**2 - x.\nAnswer: 1068*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*u + 7, -2*m = -3*u - 4*m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 464*w - 38471. Calculate u(86).\nAnswer: 1433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4312 + -4304. Sort -5, -3, 4, r, 3 in decreasing order.\nAnswer: r, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, b: 5}. Give prob of picking 2 b and 2 k.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -60*b + 7815. Calculate y(113).\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14.529409 greater than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4093145.\nAnswer: 5, 7, 83, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 125\/(-10)*14\/35\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63015?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*n = 0, 0 = -5*u - 0*n + 4*n. Suppose -3*b - 88 = -5*l, u*l - l + 4*b + 4 = 0. Let r be l\/6*(-12)\/(-8). Let g(w) = w**2 - 4*w - 7. Give g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2152.85 + 2153. What is the nearest to -4 in d, 3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 7\/4 (b) -0.3 (c) 3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5 - 6. Let p = -1 + w. Solve -3*b - 2*c = 0, p*b + 2*c + 4 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/((-44)\/(-20)) + (-6727815)\/(-3). Round s to the nearest 10000.\nAnswer: 2240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 6*t**2 - 7*t - 7. Let v be h(-5). Suppose 0 = -2*x + m + 1, -m + 4*m - 21 = -2*x. Let z = v + x. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165491*d**2*h**2 + 2*d**2*h - 2*d**2 - 2*d*h**2 - 2*d*h + 3*d + 243*h**2 - 108*h wrt d.\nAnswer: -330982*h**2 + 4*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5135657106 to the nearest integer?\nAnswer: 71663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3674.8 - 3674.8000095647. Round y to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -449\/4 - -2331\/20. Let l = 83689 + -92978487\/1111. Let g = l - 47629\/19998. Find the common denominator of a and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 7*a**2 - 4. Let y = 23 + -25. Let b(n) = 3*n**3 + 22*n**2 + 11. Let v(d) = y*b(d) - 7*h(d). Calculate v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-19 - 2)) + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2517 (b) 0 (c) 1 (d) -2 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-5 - (-10 + 7 + 1 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 15*w + 63. Let p be i(6). Let r = 130 - p. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + s + 43 = 2*s, 94 = -5*r - 2*s. Which is smaller: r or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(4 + sqrt(980) - sqrt(980)) + (sqrt(980) - (3 + -2*sqrt(980) + sqrt(980))))**2.\nAnswer: 616*sqrt(5) + 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - x**2 + 0*x**2)*(0*x - 2*x + 0*x) - 156060*x**3 + 79160*x**3 + 79337*x**3.\nAnswer: 2433*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-100*w + 25*w + 44*w).\nAnswer: 31*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 o when three letters picked without replacement from yyooyohymhdmysoyo?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -7*n + 144. Suppose 4*d + n = 4*g - 0*d, -4*d = 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 29 = -6*d. Let o(a) = 4*a**2 + 8*a - 13. Let h be o(3). Let q = h + d. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6) - 16\/(-6). Let g = 264 + -246. Suppose 16*m - 68 = -g*m. Is j smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.38 + 1.1. Let k = t - -0.279959. Round k to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34638 + 34553 + (63 - 0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*h - 9*h - 222 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 85, -4182, -8 in decreasing order.\nAnswer: 85, 4, -8, -4182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = -5*k + 13, -30 = -3*k + 5*o. Let v(b) be the first derivative of -5 - 5*b + 1\/2*b**2. Give v(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 + -166 + (-6 - (0 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*z**2 - 186051205*z + 186051205*z.\nAnswer: -135*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*f - 2 + 91*f - 41*f + 21*f.\nAnswer: 142*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-1)\/(-1)) - (-204)\/68\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (10\/(-7))\/((-12)\/(-161)) and 12\/(-32)*248\/(-14).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 7*b - 5. Determine t(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**3 - 4*x**2 + 4*x - 4. Let u(f) = 7*f**3 - 5*f**2 + 5*f - 5. Suppose -20 = -3*p - p. Let l(n) = p*r(n) - 4*u(n). Factor l(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**2\/3 + 53304320*w\/3 + 17768108 = 0. What is w?\nAnswer: -1, 13326081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let p = -81 - -35. Let m = p + 49. Which is greater: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13676.\nAnswer: 2, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -365419, -365414, -365409?\nAnswer: -365404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 91\/6*k**3 - 1\/6*k**4 + 226*k - 168 - 302\/3*k**2.\nAnswer: -(k - 84)*(k - 3)*(k - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747457 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. Suppose -11 = -4*m - j*c, 2*m + 0*c - c = 13. Solve -m*y = -2*y - 5*x - 25, 0 = 4*y - x - 22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996686 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*z = -46, 2 + 13 = -5*z. Let g be (-10)\/k + (-4)\/16. Which is bigger: g or -1\/12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*k - 52008 - 91278. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -24206?\nAnswer: 24201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-2))\/n)**(1\/56)*(n**(1\/2)\/n)**(1\/6) assuming n is positive.\nAnswer: n**(-17\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 5*b. Suppose b = 4*h - 9 - 15. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1127 and 246813?\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 14. Suppose -2*b = -j*b + 420. Calculate the highest common divisor of b and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -420483 by -3.\nAnswer: 140161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1. Let p(z) = -4*z + 16. Let c(w) = -16*i(w) + p(w). Let y(v) = -v**2. What is c(y(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 77.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 876753 and 2196?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**5 - 29*b**4 + 102*b**3 - 133*b**2 + 48*b - 1 wrt b.\nAnswer: 120*b**2 - 696*b + 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-24)\/30)\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {y: 1, m: 2, l: 2, i: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78067 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**8\/40320 - s**6\/4320 - 11*s**4\/12 - 8*s**2. Let b(t) be the second derivative of a(t). Factor b(u).\nAnswer: u*(u - 1)*(u + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150948 by -5.\nAnswer: -150948\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 0*v**2 + 6 + 53*v - v**2.\nAnswer: -v**2 + 53*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5724.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1. Let p(q) = 7*q**3 + 5. Determine -p(h) + 5*r(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 8*q**2 - 6*q + 1. Let l = 3 + -5. Let h(k) = -6*k - 3. Let v be h(l). What is the units digit of a(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/6*12)\/(2 - 0). Suppose -q*t = 734 - 12278. Round t to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30, 10\/3, -1\/4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 694 - 377. Suppose -w = 5*d - 92. Let c = d + 100. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1132\/8265 + 2\/551. Let j = -60 + 36. Let x = j + 24. What is the closest to 2 in c, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 138942 = 3*r, 625*y + 3*r - 46298 = 623*y. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 10 - 22. Let d(z) = -i - 1 + 4*z - 5*z + 1. Let y be d(-12). Solve 0*h + 8 = y*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-114119.18\nAnswer: -22823.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 5 + 16 + -21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-75)\/(-6) - 1240\/(-496)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 + -0.07. Let g = -0.26 + j. Let t = -26 - -26.3. What is the closest to g in t, 1\/2, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + b9c4?\nAnswer: b9d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8 = -2*j - s, j - 4*s + 6 = 0. Let i be -2 + j - 1\/(2\/(-86)). Let u = 48 - i. Solve 5*w + 24 = -2*h, -7 - 11 = u*h + 2*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*v**4 - 16*v**4 + 27*v**4 + (2*v + 7*v + 0*v)*(5*v**3 + v**3 - 4*v**3).\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 + -65. Let y(j) = 3*j**2 + j. Let l be y(1). Let a = -4 + 10. Solve -l*s - t = -a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r - 28. Let t = -13 + r. Let q = -9 + t. Which is greater: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Suppose -2*x = l + 128, 3*x + 3*l + 73 = -125. Find the common denominator of (-1)\/((-3)\/x*g) and 37\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6314814 divided by 22.\nAnswer: -287037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*w + 18, -z + 28 - 14 = -3*w. Let r = 40 - 36. Calculate the remainder when (z + -27)*78\/(-104) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 9*v - 1224 = -16*v. Solve v*c + 99 = 193*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = u + 3552, 0 = -w + 2*w - 4*u - 873. Suppose -w = x - 5*t, -3*t = -x - x - 1757. Let r = -567 - x. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 2*m**2 - 7*m + 14. Determine t(4).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:12 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -55? (a) 187\/5 (b) -3 (c) 1 (d) 1\/1910 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 363689757?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 103760\/360 - 2\/9. Calculate the highest common divisor of i and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24754.749 months in centuries?\nAnswer: 20.6289575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}