{"text":"Question: Expand 103*k**2 - 216*k**2 + 102*k**2 + (0*k - 2*k + 3*k)*(2 - 2 - k).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16 or -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-15)\/3 + (-490)\/(-7). Suppose -79*n - o = -84*n. Find the third derivative of 3*w**2 + 31*w**3 + n*w**3 - 7*w**2 wrt w.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 10 = 2*w - 14, -r = -w. Let a be (54\/21)\/((r\/(-182))\/(-2)). Calculate the greatest common factor of a and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most -43\/291451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -781464, -781740, -782016, -782292, -782568, -782844?\nAnswer: -783120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3895)\/(-820) - 15\/4. Let m(u) = 14*u**2 + 2 - 2*u - 1 + 8*u**2. Calculate m(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49926.\nAnswer: 2, 3, 53, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -2*a + 2*a + 1 + a. Let v(n) be the second derivative of -4*n**3\/3 - 3*n**2 - 2*n. Suppose 3*x + 1 + 2 = 0. What is x*v(s) - 6*b(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4237 - 1?\nAnswer: 4236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/11804 in -0.2, -25, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 181 + 0\/(49\/7). Suppose -3*m + 1008 = -4*a, -m + a - 1657 = -6*m. Let t = m - i. Calculate the remainder when t is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.090328 centimeters in micrometers?\nAnswer: 30903.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*s**2 + 15 + 4*s**2 - 7 + 5 as g*s + q + c*s**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -379, 1\/2, 2, -1\/6, -4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 - j)*(4*j + 2*j - 5*j) + 0*j - j**2 + 0*j)*(-2 + 3 - 4)*(-2 + 5 + 0)*(-1 - 3 + 5).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125552?\nAnswer: 2, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*h - 7*h - 12*h - 48 = 0. Which is greater: -102\/193 or h?\nAnswer: -102\/193","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (27\/18)\/(1\/(-2)). Suppose 3*z + j = -3, -337*z + 341*z + 3 = -j. Sort z, x, -1, -2 in ascending order.\nAnswer: x, -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from mmhhhhuhujwnnmnhhh.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -96*v - 185. Calculate r(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*b + 5*h - 310 = 0, 2*b + 274*h = 270*h - 2 - 22 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 6 = -3*k. Suppose k*r - 3*r = -3*c - 135, 2*r - 5*c = -90. Is (21\/(-9) - -2)*r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 5)*(-12931 + 12931 - 1160*l) + l + 0*l + l.\nAnswer: -2318*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11784947*c**5 - 21*c**4*k**2 - 672*c*k**2 - 3*c*k - 200*k**2 + 247*k wrt c?\nAnswer: 235698940*c**3 - 252*c**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 209023 and 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3366 is divided by 304?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/7 - 27698*g\/7 - 83112\/7.\nAnswer: 2*(g - 13852)*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34995 + -141005. What is n rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**2 + 426*f + 88665.\nAnswer: -3*(f - 257)*(f + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*n = 17*n - 546 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1, -76\/5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 - 9) + 35\/(105\/18). Let s(a) = -a**2 - 7. What is s(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.36 - 0.24. Let k = 0.1211 - v. Round k to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 PM and 11:17 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0009 + -0.0009. Is -0.3 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/1118 and -25\/774.\nAnswer: 10062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 580, 1245, 1910, 2575, 3240, 3905?\nAnswer: 4570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 18 = -4*m. Suppose 4*j - j = -m. Is (-1)\/j*(-10 + 72) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4380 divided by -876\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/(-3) - 1)\/(-1). What is the tens digit of (452 - (g + -2)) + (6 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x - 77991 + 6*x + 77990.\nAnswer: 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -24602 smaller than -500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 5*l - 87 = 0, z + l = -0*z + 21. Calculate the lowest common multiple of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 4 + 2)*(-9 + 12 - 34)*(-12 + 36 + 40)*(-d + 5*d - 5*d) to the form j + k*d and give k.\nAnswer: 3968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do 2858.8 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -8778.5 times -0.08\nAnswer: 702.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*j**2 + 37*j**2 + 394*j**2 - 15*j**2.\nAnswer: 409*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 937 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 - -31. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 - 2*g**2 - 21*g + 71. What is r(-8)?\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103*a - 8 = 107*a, -5*n - 5*a - 5 = 0. Let t = 0.3 - 0.2. What is the nearest to 1\/3 in -5, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 17 = 3*f, f = -3*v - 2*v - 2. Which is the third biggest value?  (a) -3\/7  (b) f  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 66270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17 - 18) + 4 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 920 and 257080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 9*c + 3. Let x(f) = -8*f - 4. Let t(j) = -3*s(j) - 4*x(j). Differentiate t(u) with respect to u.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0\/(-3 - -1))\/(-2). Suppose h*c - 13 = -c. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 287.957 litres to millilitres.\nAnswer: 287957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -8*f + 22. What is r(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -76*b**3 - 12*b**2 + 91*b - 82. Calculate r(1).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + 7 + -3 - (15 + -21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-415)\/20 - -5) + (-1)\/4. Let x(h) = 4*h - 6. Let b(k) = -k + 1. Suppose -u - 1 = q - 2, -5*u + 2*q = 23. Calculate o*b(a) + u*x(a).\nAnswer: 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 6, s: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/11, 39104\/5, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.068 - -0.578. Let r = k + -0.71. Which is the biggest value?  (a) r  (b) -6  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -84.8943 rounded to 0 dps?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -2 - (-5 + 6 + 0 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*n + 6. Let r = 38 + n. Solve r - 12 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-15)\/6)\/((-2)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*l - 2*l + 2*l + (0*l + 0*l + 2*l)*(1 + 2 + 1))*(-9 - 6 + 5)*(-1 + 3 - 4) to b*l + w and give b.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -527*a**2 - 80*a**2 - 638*a**2.\nAnswer: -1245*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Divide -779313 by 1.\nAnswer: -779313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -6*f + 12*f. Let q be (-7 - 764\/28)\/(f\/(-1659)). Round q to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of -3*i**2\/2 + 2*i - 13. Let w(d) = d - 1. Let c(t) = 2*o(t) + 4*w(t). Let z(m) = -17*m**2 + 2*m**2 + 19*m**2. What is z(c(q))?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 145 + -78. Suppose -2*d = -87 - o. Let l = 148 - d. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 179903639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9600 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/11 - (-1008)\/(-264). Let d be -2*(0\/v + 1). What are the prime factors of 11 + d*(-6)\/4?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32105701, 64211401, 96317101, 128422801?\nAnswer: 160528501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 - 673*i**2 + 11050*i + 17945. Give j(-689).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**3 + 4*s**3 - s**3)*(3 + 1 + 1).\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 + 9*h**2 + 10*h + 5. Suppose 0 = -49*r + 52*r - 30. Calculate l(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/10 + (-60)\/(-25). Let 2*z**3 - 6*z**2 + s*z**2 - 3*z**3 + 4*z**3 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2622944470?\nAnswer: 2, 5, 647, 405401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 633 + 138 = 0. Suppose -4*j + u = -h, -17 + 128 = 3*j - 5*u. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.3887 + -0.40619. What is l rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**(2\/7)*y))**(-3\/7)*(y*y**(7\/2))\/(y\/(y*(y*y\/(y*y**12))\/y*y)) assuming y is positive.\nAnswer: y**(-625\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 151231.4 millennia in decades?\nAnswer: 15123140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 - -5. Let p be ((-160)\/4)\/(-2 + g). Suppose -3*h - 25 = -j, 3*h = -4*j + 60 - 5. What is the highest common factor of j and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.0565685 meters?\nAnswer: 0.0000565685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the third derivative of -17*b**6\/120 + b**5\/30 - b**3\/6 - 4*b**2. Determine w(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 28*g + g**3 - 11*g - 2*g**3 - 6*g**2 - 11*g - 8*g + 2. Determine w(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**2 + 12*s + 15. Let b be c(13). Suppose -k + 2 = -y, 4*y + 2 = 3*k - b. Solve -l = 3, 5 = 5*j - 2*l + k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 22 = 2*c. Calculate the common denominator of c and 4 + (-1878)\/189 + 2\/(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + 11*p**2 - 11*p + 17. Let w be l(10). Let o = 264 - 144. Suppose -w*c + 3*c = -o. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 4\/5*g - 2\/5*g**2 = 0. Calculate g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 8)*(0*p**5 - p**5 - 2*p**5).\nAnswer: -15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2356299 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -1, 0.39, -2\/7 in decreasing order.\nAnswer: 0.39, -1\/4, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(2)*2 + 2) + -1 - (sqrt(96)\/sqrt(3) - ((2*sqrt(14))\/sqrt(7))**2).\nAnswer: -8*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 162 = -o. Suppose o + 193 = 5*s. What is the remainder when 175 is divided by s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1))**21)**(-1\/6)\/(k**(-4)*k**(-3\/8))**16 assuming k is positive.\nAnswer: k**(147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32, -97, -192, -305, -424, -537, -632, -697?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/6 - (-1565)\/(-275) - -5 and 43\/9?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j - 5*j + 4*j)*(-5 + 5 + 4)*((1 + 1 - 3)*(-2 - 4 + 5) + 6 + 0 + 5)*(-21 + 16 - 21).\nAnswer: 3744*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 1 = -5. Suppose -58*f + 22*f + 13752 = 0. Let r = 384 - f. Solve -13 = -y + r*a, -3*a = y + o*y - 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -5, 0.2, 0.1, -1\/65, 65?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 39 = 3*a - 5*y, 0 = -4*y - 28. Solve -5*p = -2*o + 20, 2*o + 0 = -3*p + a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -4*y - y + 138, 5*c + 105 = 4*y. Let d(a) = -a**3 + 12. Let r be d(0). What is the remainder when y is divided by (-1 - -3)*66\/r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(425) + -5.\nAnswer: -4 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -696 divided by 696.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 329*q. Let m(w) = 3*w**2. What is m(i(u))?\nAnswer: 324723*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0239462626 to five dps.\nAnswer: -0.02395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 68135 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29529 is divided by 428?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-1250)\/(-20))\/(-5)*8\/(-10)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10572 divided by 262?\nAnswer: -5286\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(2\/5))**(-31)*(s*s**(-1\/3)*s)**(-37))\/(s**(-4\/3)*s\/s**(-6))**(-25) assuming s is positive.\nAnswer: s**(338\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5262558.9 rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210 - 100201122110221?\nAnswer: -100201122111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:51 AM and 5:02 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 - -8. Let q(l) = 3*l + 4. Calculate q(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -196, -176, -154, -130, -104?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnnwnwn?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 60.4, 20, 0, -2\/3, -3.\nAnswer: -3, -2\/3, -0.5, 0, 20, 60.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1020221211 (base 4) to base 14.\nAnswer: 7a633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 12) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 40146, 81142, 122138?\n\"Answer: 40996*m - 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 22035093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48)\/(-18)*(-59)\/((-2891)\/(-42))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -680 = 100*w - 15*w. Let r = 71\/35 + -10\/7. Let g = 1.73 - 1.74. What is the smallest value in r, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4041498, -4041497, -4041494, -4041489, -4041482?\n\"Answer: w**2 - 2*w - 4041497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -2\/5  (b) 0.07  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.5 and -1354142.\nAnswer: -1354140.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.99629 times 0.29\nAnswer: -0.2889241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36225.\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**3 - m**2 + 2*m + 2. Let b(y) = -1247*y**3 + 451*y**2 + 10*y + 10. Let a(s) = -b(s) + 6*z(s). Find the third derivative of a(q) wrt q.\nAnswer: 7554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -17968, -35990, -54012, -72034, -90056, -108078?\n\"Answer: -18022*o + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 85 + -90. Let g be -250 + x + (-1 - -2). Round g to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 + 26*x**2 + x - 22. Let c(i) = -i**3 - 7*i**2 - 9*i - 4. Calculate the remainder when c(-6) is divided by a(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 167, 170, 173, 176, 179, 182?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + 4*q + 32. Let s be 2\/(-26)*(q + 6). Let c be (88\/20 + -4)*2\/2. What is the biggest value in s, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*r + 5*r - 7*r)*(0*r**2 + 0*r**2 - r**2) + 3*r**3 - 3*r**3 - 8*r**3 to n + u*r**2 + w*r**3 + m*r and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 66 + 1663. List the prime factors of l.\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 + n - 1. Let j = -226 + 227. Let g(x) = x**3 - x - 1. Determine j*q(l) + g(l).\nAnswer: l**3 - l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 5*m + 40 = 0, k + 5*m + 28 = 2*k. Suppose -2*i + 970 = k*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27071 or 27072?\nAnswer: 27071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00216142 rounded to six decimal places?\nAnswer: 0.002161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1651674 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -49587 divided by 270\nAnswer: -16529\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = b + b - 24, 2*z = -2*b. Suppose 0 = 5*g + 5*y - 1190, -3*g - 19 + 736 = b*y. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.168311ml in litres?\nAnswer: 0.001168311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c**3\/7 - 787588*c**2\/7 + 4725590*c\/7 - 3938000\/7 = 0. Calculate c.\nAnswer: -393800, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 694*l - 685*l + 81 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0087 and 818.2.\nAnswer: 7.11834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 17\/4 - 2*(-6)\/(-48). Let z = -39 - -64. Solve -5*i - 4*a + 0*a - z = 0, k*i + 29 = -5*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -130392 divided by -6?\nAnswer: 21732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3194372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 36485547\/142 - 256939. Let t = 2\/71 + n. Let s = 4501\/360 + -17\/45. Calculate the common denominator of t and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -325*q + 623*q + 220 = 318*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -25 + 1918?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 4 = -5*f + h, 0 = 5*f + 5*h + 10. Let i = f + 1. Is -3\/5 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 9784, 19572, 29362, 39154, 48948, 58744, 68542?\n\"Answer: x**2 + 9785*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 640 and 134423680?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 1697 = -2*f, -f + 4*o = -494 - 350. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 930621 and 68736.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-351)\/(-15) + (-4)\/10. Suppose 4*s - 3*s - 3 = 2*k, -5*k = s - 3. Suppose -1 = -s*a + h. What is the greatest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oddodddo. What is prob of sequence oodd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/6)\/((-34)\/153).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-30))\/(6\/18).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {z: 2, w: 2, l: 4, j: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 595 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + 72\/54*(-9)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1987830640 to the power of 1\/2, to the nearest integer?\nAnswer: 44585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 4:43 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0808 - 0.17.\nAnswer: -0.0892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 - 14*d - 27. Let v be g(-11). Let t be 48\/(-36)*v\/(-4). Solve -3*x + 2 = -t*y, -y - 4 + 0 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 3*b**2. Suppose 0 = -4*a - 5*w - 17, 3*a + 5*w + 14 + 5 = 0. Let v(g) = -4 + 4 + 5*g**a - 6*g**2. Determine v(c(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 1 = t + 2*j, -t + 5*j + 4 = 0. Is (-2)\/t + -2 - -251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*r**2 + 3*r**2 + r**2)*(-r + 2 - 2) + (-2 + 2 + r**3)*(4 - 1 - 1) + 15*r**3 - 25*r**3 + 29*r**3.\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 13649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.117 + 2.92. Let b = x - -0.196842. Round b to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/(-12)*18\/(-4). Let z be (12\/(-88))\/(j\/(-32)). Let u = z - 171\/110. Is 1 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 - 3*d**2 - 7*d + 1. Let z be v(5). Let p = -28 - -33. Suppose p*u - 4 = z. Solve -u*m = -m - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2*o + 505 = 6*j, -5*o + 181 = 2*j. Calculate the remainder when j is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 237689110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1500 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36391 and 1714001.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, -1, -12, 33 in decreasing order.\nAnswer: 33, 0, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 1 = -n. Let b(g) = 5*g**2 + 1. Is b(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.11, -2\/313, -1\/5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -171.0573 to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*m + 293 = 20. Let b be (-51)\/(-17)*(m - 0). Calculate the highest common factor of 117 and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 3*p - 1. What is the remainder when 68 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3006596 and 2.\nAnswer: -6013192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 3 - 786*m**2 - 3.\nAnswer: -786*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-5)*k**(1\/5)*k**(1\/8)\/(((k\/((k\/k**1*k*k)\/k)*k)\/k)\/k))**(-2) assuming k is positive.\nAnswer: k**(-293\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2021650351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (20 - (-416)\/(-26))\/(1\/3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.0635, -4, -662, -1\/3, -5\/3, 3, 0.2?\nAnswer: -662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/5)*y**1)**(-14) assuming y is positive.\nAnswer: y**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -w + w + 2*w**2 + (-1 - w + 1)*(4*w + 0*w - 3*w) + 24*w - 24*w - 17*w**2 to the form p*w**2 + h + i*w and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 8:42 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jurj. What is prob of sequence rj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 563827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -52798, -52925, -53052, -53179, -53306, -53433?\n\"Answer: -127*d - 52671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 3*v = -14, -2*w + 4*v + 16 = -4*w. Let q(y) = 679*y - 723*y + 29 + 4. What is the units digit of q(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 + -22. Factor 8*p**4 + p - 8*p**v + 3*p**2 - 2*p + 4*p**5 + p**3 + 1.\nAnswer: (p + 1)**3*(2*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {w: 5, m: 13}.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.1 + -2.9. What is the nearest to 2\/9 in b, 0.3, 0.5, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3*(-8)\/(-18))\/((-16)\/1032). Let g = v + 90. What is the third smallest value in -0.5, g, 0.7, 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -11, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 11*o - 4. Determine j(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(9)\/(sqrt(3) + sqrt(12)) - (-2 + sqrt(9)\/sqrt(3))).\nAnswer: -2*sqrt(3)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1155332465 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.4 - 0.7. Let r = 5.9 + 0.1. Let l = r + -4. Put g, -5, l in ascending order.\nAnswer: -5, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 1 - 2*g**3 + 3*g**2 - 5*g**2 + (2*g**2 + 1 - 1)*(-g + g - 2*g) + g**3 + g**3 + 0*g**3.\nAnswer: -4*g**3 - 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together -132190.96 and -126.\nAnswer: -132316.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -12  (c) 0.5  (d) -4  (e) -0.894  (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 582 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**10\/((o\/o**11*o)\/o)*o*o**0*o**(-28)*o assuming o is positive.\nAnswer: o**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -176 + 1296 = 20*s. What is the smallest common multiple of 112 and s?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.749 rounded to 1 decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the third derivative of -9*j**4\/8 - 4*j**3\/3 + 41*j**2. Let o be p(-3). Find the third derivative of -o*r + 28*r**6 - 5 + 73*r + r**2 wrt r.\nAnswer: 3360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.01*50.\nAnswer: 50.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -113a8c (base 13) to base 3\nAnswer: -202202000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -61167*d - 60958. What is k(-1)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7016515 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -100, 1, -1\/2, 0.1, -0.2.\nAnswer: -100, -1\/2, -0.2, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 + 15. Suppose 8*i - 75 = r*i. Does 25 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -351 <= -353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s*s**(-1\/4))\/s)\/(s\/(s\/(s\/(s\/s**3)))))\/(s\/(s*s**1))**48 assuming s is positive.\nAnswer: s**(183\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -92 - -81. Let d(b) = -10*b - 14. What is the tens digit of d(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 - -24.5. Which is the second smallest value?  (a) w  (b) 4  (c) 0.5  (d) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 4*l + 98. Let s be a(-24). Suppose -2*u = -14*u. Suppose -1\/2*b**s - 2*b + u = 0. What is b?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b2c (base 15) to base 13.\nAnswer: 28b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = s + 120. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*10*(-5 + 3). Calculate the greatest common divisor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y + 2 = 131*l - 134*l, 0 = -3*y + l + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - (3 - 2))\/1. Suppose j = -5*z + s + 13, 0*z - 4*z = -3*s - 6. Let x = -1 + z. Solve 0 = -x*g + g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/14 in -239, 31754, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5356 + 5353. Let l = 0 - -2. Let d be 1*-2 + 14\/l. Put y, d, 2 in increasing order.\nAnswer: y, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -124042 + -3301?\nAnswer: -132343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o + 14. Calculate t(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.042 + -7.042. Let h = 9 + -13. Sort 1, h, z, -1 in descending order.\nAnswer: 1, -1, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1 + -5 + 3 + 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/1904 and 27\/595.\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 16*h - 112. Let t be a(7). Let w(q) = -4*q + 0*q**3 + q**3 - 2*q**3 - 4*q**2. Let p be w(-3). Solve p*o + 3 = -t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + -15 - ((0 - 0) + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2. Let m(s) = 1. Let q(g) = -g**2 + 11. Let r(w) = -66*m(w) + 6*q(w). Determine z(r(v)).\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from tpowttdwdwwwddpdoo.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 50.918294 - -2\nAnswer: 52.918294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1141725 is divided by 1978?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9232431 is divided by 292?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -56668, -113918, -171748, -230158?\nAnswer: -289148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3 + 1052*x**2 + 7280614*x.\nAnswer: -2*x*(x - 2189)*(x + 1663)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(28)*-1 + (sqrt(7) + sqrt(700) - (sqrt(7)*2 + sqrt(7) + -4)**2).\nAnswer: -79 + 41*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 5*b - l, -13*l = -0*b - 9*b + 40 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/(-12)*(-18)\/(-4). Let g be (-3 + p - -66) + -3. Suppose -37 = -5*u + g. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 - 2*c + 1. Let o(a) = -8*a**2 - 8*a + 19. Calculate o(z) - 4*v(z).\nAnswer: -4*z**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 372*a = 375*a + 21 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 4*n - 7. Let h(q) = -9*q + 15. Let v(t) = t**3 - 31*t**2 + 23*t + 216. Let p be v(30). What is p*h(x) + 13*j(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -309bd (base 14) to base 7.\nAnswer: -665426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 385\/30*((-1888)\/(-168))\/(-59).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 take away 18983?\nAnswer: -18891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-3))**(-9))**(-23) assuming f is positive.\nAnswer: f**(-621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 - 6*f**2 + 7*f - 13. Give p(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/4 + 3\/(-6)*15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + 4*w - 2. Let v be t(3). Suppose -3*c - 4*a - 2 = 0, -v - 7 = -2*c + 2*a. Solve 0 = -3*m + 15, -2*m + 27 = -c*p + 3*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -886.852 * -19.\nAnswer: 16850.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*(s\/(s*s**4))\/s*s*s*s**13)\/(s\/(s**(3\/7)\/s)*(((s*s\/(s\/(s**(-3\/11)\/s)*s*s*s))\/s)\/s)\/s))**(3\/7) assuming s is positive.\nAnswer: s**(3627\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*x - 2*x. Let j be 1*(x + 0) - 5. Sort 0, 1, j in ascending order.\nAnswer: j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 8*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(128) + -1 + (sqrt(32)\/sqrt(4))**2.\nAnswer: 7 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -942, -3275, -7098, -12411?\n\"Answer: -745*m**2 - 98*m - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -322*i + 332*i + 6 - 5.\nAnswer: 10*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, t: 2, y: 6, u: 1, b: 7}. What is prob of picking 1 b, 1 u, and 2 r?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 27\/(-1458)*27*(-4)\/(-6)*390\/10\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes after 3:13 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.41?  (a) -0.14  (b) -2  (c) -1\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143*z = -146*z + g - 1, -3*z + 7 = -5*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -d**3\/3 - 5*d**2 + 949*d\/3 + 1665 = 0.\nAnswer: -37, -5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17374 + 6217 = -239*n + 19674 for n.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 25315 + -14492. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1498 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 12\/5*c**3 - 3\/5*c**4 + 9\/5*c**2 - 6*c - 24\/5 = 0?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 350427277 to the power of 1\/2, to the nearest integer?\nAnswer: 18720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -7 - -3 - 2\/(-2). Let k(v) = -5 - 14 - 17 + 2*v. Let n be k(17). Which is the nearest to n?  (a) 1  (b) -4\/7  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -137 + 52. Let t = 84.99999704 + x. What is t rounded to 7 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 AM and 1:47 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 103 = -3*v, -v + 27 + 18 = -5*w. Let a = v - 8. What is the remainder when a is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + h - 61, 70 = -4*v + 5*h + 171. Suppose -24 = 5*z - v. Solve -2*m + 3 - z = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1567288 and 6706.\nAnswer: 10971016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 4860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 158 (base 10) to base 6\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -21*p + 14. Let i be k(13). Let h = 3338 + i. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - -7. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 38964 and 6494?\nAnswer: 38964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 - 6*p**2 + 4*p + 7. Let b be w(5). Find the third derivative of -u**6 - 2*u**2 + b*u**6 + 0*u**3 + 0*u**3 wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-20)\/90 + (-58)\/(-18). Suppose -i + 168 = -5*l, o*i + 0*l - 404 = -5*l. Does 25 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -593, -579, -571, -569, -573, -583?\n\"Answer: -3*o**2 + 23*o - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45384 is divided by 22601?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from liliiiilili. What is prob of picking 1 i and 1 l?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2*sqrt(15)\/sqrt(3) - (sqrt(5) + sqrt(15)\/sqrt(3) + -2 - (sqrt(110)\/sqrt(2))\/sqrt(11)).\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 3) + (37 - (-36 + (48 - 23)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -7\/2, 1, -42.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 6 - (40 + -9 + -28) - -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -7*r - 13. Solve 18*i - 21*i = 3*a - 9, 4*a - r*i = 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*n**2 + 2*n**2 - 14*n**2 + (5 + 2*n - 5)*(3 - 3 - n) + n**2 - 1 + 1 + 4*n**2 - 3*n**2 + n**2)*(-6 + 6 + 10)*(-1 + 1 + 3*n)*(-4 - 1 + 4).\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 1. Let i be 18104\/(-2336) + (-526)\/(-72). What is the fourth biggest value in a, -5, i, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/6)\/((-39)\/351).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((468\/728)\/((-6)\/(-7)))\/((-4)\/(-288)*-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 + 8*h + 9. Let t be u(7). Suppose -3*g - g = -t. Suppose -3*q - g*s + 20 = 0, -5*q - 5*s + 12 + 23 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6003208l in millilitres?\nAnswer: 600.3208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/3 of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - -240?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 9:35 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 - -16. Suppose -4*r - 3 = k. Let j = 9\/28 - 137\/252. Is r bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44288 and 8759336.\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 791 divided by 11373?\nAnswer: 791\/11373","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 2530 - 2527. Solve 5*k + h + 12 = 0, -i*h - 2*h = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 - (23 + -40 + 57)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 297070 and 56120?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 379563*g**5 - 82*g**2 - 1196*g?\nAnswer: 22773780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/9665 in -2, -9, -0.08, 2, -12?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 15328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7.4 > -5\/513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3210 and 234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -136.152 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2991 - -3076) + (0 - -3 - 1 - 12).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3663075*y**2 - 59670*y + 243 = 0.\nAnswer: 9\/1105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 32\/14)\/(19\/(-133)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 5  (c) -5  (d) 84  (e) 1\/418  (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r - 3*r + 5*r)*(-4 + 1 + 0)*(3 - 2 + 0) + (-4*r - 2*r + 5*r)*(1 + 1 - 1).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 15*d - 22*d + 46 - 2 + 12*d + d**2. What are the prime factors of l(6)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of 2*r**3\/3 + r**2\/2 - 6*r. What is the remainder when 18 is divided by v(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from {c: 15, n: 2, k: 3}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-8)*6*(-1)\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 76987683 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 1 + (-3 + 5 - 4)*(5 - 4 + 0))*(-499*o - 3 + 499*o - 2*o**3 + 134*o**2).\nAnswer: 6*o**3 - 402*o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*c**2 - c**2 - c**2)*(3*c - c + 1 + 1).\nAnswer: 10*c**3 + 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101175 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2.349  (b) 3  (c) 18.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3994121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -13 and 5570883?\nAnswer: -72421479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 0 + (sqrt(252) + 0)**2 + 1)*-6.\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4366885 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - o - 4171 = 2*g, 5*g = 4*o - 10408. Let f = g + 12605\/6. Calculate the common denominator of f and -29\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*p = -19*p + 122*p - 89 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 + 10*d - 14. Let v(h) = 2*h**2 - 21*h + 29. Let o(c) = -13*i(c) - 6*v(c). What is the smallest common multiple of o(6) and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 87, -56, -10, -4, 5, 2, 4 in increasing order.\nAnswer: -56, -10, -4, 2, 4, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/3 - (-6944)\/(-12648).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 938542384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2*-1 + (-14 - -23).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8288*w**2 - 4143*w**2 - 4141*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15171262 is divided by 5590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9968, 19935, 29886, 39815, 49716, 59583, 69410?\nAnswer: 79191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1565\/16 + 737\/8. Find the common denominator of 99\/350 and n.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - q = 28. Let b = 46 + -42. Suppose -b*f + 27 = q. Solve -13 = -f*g + 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -2*s**2 - 922*s - 105305. Determine h(-252).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000123414 rounded to seven decimal places?\nAnswer: -0.0001234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.07?  (a) 0  (b) -4  (c) -2  (d) 1\/411\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.4 - 3. Let l = -0.055 + -0.245. What is the third biggest value in o, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28607936?\nAnswer: 2, 7, 63857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**(-8)\/u))\/u**(3\/7)*u**(-6)\/u*u*u\/(u\/u**(4\/5)))\/((u*u**(-2\/13)*u*u*u*u*u)\/u**(-1\/9))**47 assuming u is positive.\nAnswer: u**(-1128664\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*d**2*f*j*m + 211*d**2*j**3*m**2 + 2*d*f*j**3 + 5*d*f*j**2*m**2 + 4*d*j**3*m - 2*f*j**2*m - 26*f*m**2 - 2*j*m**2 wrt d?\nAnswer: 12*f*j*m + 422*j**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1333 is divided by 1670\/130 - 9\/((-117)\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2570 a factor of 145410600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 15*b**3 + 4*b**2 + b + 4. Let l(t) be the second derivative of -t**5\/20 + t**4\/12 + t**2\/2 + 6*t. Let q(c) = -4*l(c) + x(c). Calculate q(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*m**4 - 10144*m**3 - 3226096*m**2 - 6411584*m = 0. What is m?\nAnswer: -284, -2, 0, 2822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/25*10\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(114)\/(sqrt(1764)\/sqrt(6)) + -3.\nAnswer: -3 + sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of t*u**2 - t*u + 2*t + 1279014*u**3 + 43857*u - 1 wrt u.\nAnswer: 2*t + 7674084*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1594*p**2 - 33480*p\/7 + 18\/7.\nAnswer: 2*(p - 3)*(5579*p - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.82 - 0.02. Let p = 0.45 + -1.55. Let u = r + p. What is the second biggest value in u, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + 220\/(-48))\/(30\/(-180)) - (-13)\/26?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 864861 to the power of 1\/2, to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 356655 is divided by 15901?\nAnswer: 6833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 - 11*w + 5. Let b be l(-11). Suppose -4*q + 2 = -2*q + 2*v, -5*v - 20 = 0. What is the second derivative of -q*o + o + 11*o**b - 12*o**5 wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3014 (base 5) to base 15.\nAnswer: 1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -148 + 157. Suppose 0 = -5*l + g*l - 20. Calculate the greatest common divisor of l and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -481 + 295. Let j = 179 + y. Let l(b) = b**2 + 6*b. Calculate l(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - a + 33. Determine w(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88 + 44 = -2*t. Calculate the lowest common multiple of t and 87.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2390 + 795 + 801 + 799 - 247*i as r*i + a and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-72)\/32)\/(3\/(-12)))\/((-105)\/(-80)*4)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - 0)\/2*0. Let m(z) = z + z + q*z. Let c(f) = 3*f. Calculate m(c(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 2*y + 3. Solve 0 = 3*v - 3 - y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.0393 - -302.9607. Let t = -299 + g. What is the nearest to 1\/5 in 0.4, t, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*t**5 - 2*t**2 - t**5 + 6*t**5 - t**5 wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(136)*1*2)\/((sqrt(64) - (sqrt(64)*1 - sqrt(64))*-4)\/sqrt(8)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/54*(-1)\/(8\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -9\/5*m**3 - m**5 + 1\/5*m**2 + 2\/5*m + 0 - 13\/5*m**4 = 0. What is m?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r = c - 23, 0 = 3*c - 7501*r + 7496*r + 33 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**3 - 2*l**3 + 3*l**3)*(78*l**2 - 76*l**2 - 3*l - 4*l).\nAnswer: 4*l**5 - 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h**3 + 1621*h**2 - 4832*h - 169. Calculate y(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2250 - 515 = -7*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 78684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8507\/770 - 81\/77. What is the common denominator of 95\/28 and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of j**9\/60480 - j**7\/5040 - j**5\/20 + 2*j**2. Let n(b) be the third derivative of c(b). Give n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1991*o = -2371*o + 17480 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(4\/11)\/(f\/f**(-1\/3))*f\/(f\/f**(-5\/6))*f\/(f\/(f*f**(-8))*f))**5 assuming f is positive.\nAnswer: f**(-3235\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38677 is divided by 12892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.106 and -0.2?\nAnswer: -0.0212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5514*y - 2126*y - 1869*y.\nAnswer: 1519*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -10*o + 5*o. Suppose 5*h - 5*f = 75, o*h + 39 = 7*h + 4*f. Suppose -h = -p - 1. Solve 2*z = -0 + p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -120 (base 5) to base 16.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1448019mm in centimeters?\nAnswer: 0.01448019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.262891896 to 4 decimal places.\nAnswer: 0.2629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 6*o - 5. Suppose 25*u = -5*m + 30*u - 45, -2*m - 5*u = 39. Let g(i) = -i**3 - 11*i**2 + 11*i - 17. Let z be g(m). Give k(z).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -6*x - 7. Is 21 a factor of u(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)*2 + sqrt(252))*-5.\nAnswer: -90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 76.4 in -0.07, 3\/8, 3, -19, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (-3 - -6) + 0 + -31 + -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 1876 = -604. Let l = -347 - q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 7238672262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**3 + 18758 - 3296 - 1680*y - 277*y**2 - 3*y**3 + 15898 + 37*y**2 = 0. Calculate y.\nAnswer: -28, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) -2  (c) 16.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*w + 23*w + 5*z = -22, -2*z - 3 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8141046 microseconds to minutes.\nAnswer: 0.00000001356841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -11. Let v = -6 - j. Let y = v - -15.1. Which is the smallest value?  (a) y  (b) -2  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20232030 + -113?\nAnswer: -20232203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (14 + 1834\/(-84))\/(1\/(-6)) is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 53.9 - 54.9. What is the nearest to 2 in b, 1.68, -2\/13?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102113005 (base 6) to base 4.\nAnswer: -12303031331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h - 2. Let b be k(-2). Let l be 9 + (-2 - (b - -2)). Suppose -6 + l + d**2 - 5 - d = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 6*y + 16. Let v(n) be the first derivative of -7*n**2\/2 - 20*n - 116. Let g(t) = 5*p(t) + 4*v(t). Give g(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 - (-312)\/(-51) - (-1704)\/34 and 110.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(1\/5)*(j\/(j**(2\/21)*j)*j)\/j*(j*(j\/j**(-2\/7))\/j*j)**31 assuming j is positive.\nAnswer: j**(7451\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 258928, 258920, 258912, 258904?\nAnswer: 258896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 + -8.3. Suppose 77*q - 73*q = -3*w, 0 = -3*w + 5*q + 27. Which is the second smallest value?  (a) w  (b) o  (c) -1  (d) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + y = -f - 141, 4*f = -5*y + 171. What is the units digit of ((-2682)\/28 + 10\/y)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 9.3242 and -387.684522?\nAnswer: 397.008722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 7, t: 1}. Give prob of sequence trrr.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that s**2 - 8950*s\/3 + 2983\/3 = 0.\nAnswer: 1\/3, 2983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4772 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5047 and 27914957.\nAnswer: 27914957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 15) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 26832, 53662, 80492, 107322, 134152?\n\"Answer: 26830*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 98454935.\nAnswer: 5, 79, 249253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -10*q**3 + 5*q**2 + 8*q + 2. Let y be d(-2). Let a = 86 - y. Suppose -236 = -a*t - 4*t. What are the prime factors of t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7407a5 (base 11) to base 14\nAnswer: -22c775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -41 + -1.026\nAnswer: -42.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 81 - -7. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 283739?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*i - 64 + 268 - 512 = 0 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36 - -39) + -2 + 0 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6105 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 483 and 3527763.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/3)\/(6\/9). Let x = w - -2. Calculate the highest common divisor of 12 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**4 - 3*l**4 + l**4 + (4*l + 2*l - 5*l)*(4*l**3 - 2*l**3 - l**3) - 12*l**4 - 8*l**4 + 10*l**4 + 0*l + 2*l**4 + 0*l.\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*k - 2*r, 5*k = 2*r - 5*r + 20. Let n(w) = 4 - k + w - 4. Let l(p) = 3. Suppose -45*v + 23*v = -88. What is v*n(o) + 5*l(o)?\nAnswer: 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 39589, 79171, 118749, 158323, 197893, 237459, 277021?\n\"Answer: -2*t**2 + 39588*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 AM and 5:05 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 1 - 1. Calculate the common denominator of (-3*(-2)\/(-3))\/t and -13\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q + 4. Suppose 4*i - 16 = 0, -5*h + 4*h = -4*i + 15. Let n be y(h). Suppose -3*c - 119 = 4*p - 298, 0 = c - n*p - 47. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 222 - (33 - (49 - 97))\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15*c*y + 113986970*c + 1720359*y**4 wrt y?\nAnswer: -15*c + 6881436*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1055406, -2110833, -3166284, -4221759?\n\"Answer: -12*k**2 - 1055391*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/57404 and 45\/113.\nAnswer: 57404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (172\/(-42) - 1) + -5 + 7 + 3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8320*q + 123858 + 14378 = 62146 - 281670 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -4*o + 2*k, k = -3*k + 20. Suppose o*m + 270 = 9*m. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 2374658*r**2 + 0 + 2 + 5*r - 2374657*r**2. Calculate w(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + -1. Suppose 0 = d - 6*d. Let f be -2*(-2)\/(d - -2). Solve 0 = -f*m - 2*m - v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20*i**5*m - 2462609*i**4*m + 28122*i*m + 149*i - m + 2 wrt i?\nAnswer: -400*i**3*m - 29551308*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8952152791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 3*a**2. Let t be 3*(-3 - (12\/3)\/(-1)). Let q(m) = -3 + t - 32*m - 14*m + 71*m. Calculate x(q(s)).\nAnswer: 1875*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1589680 and 25640?\nAnswer: 1589680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/233372  (b) -4  (c) 167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35904882.\nAnswer: 2, 3, 13, 31, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06148782 - 68395?\nAnswer: -68395.06148782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7b32 + -14?\nAnswer: 7b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -222*z = -227*z + 25. Solve 0 = z*r + 5 + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**2)**(5\/4)*k**(-2\/77)*k\/k**(7\/4)*k assuming k is positive.\nAnswer: k**(839\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/11))**(3\/29)*(r**(3\/7)*r*r)\/(r\/(r*(r*r\/(r*r**9))\/r)))**(-7) assuming r is positive.\nAnswer: r**(14632\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (20511 + -1)\/((-23)\/((-184)\/(-80)) + 11)?\nAnswer: 2, 5, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -37.4?  (a) 1  (b) -5  (c) 10\/3  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -68, -3 in decreasing order.\nAnswer: -3, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1 - 1) + -18)\/(-1). Suppose 3*n - 23 = -0*n - p, y = 4*p. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(252)*-2)\/sqrt(12))\/(sqrt(112)*-1*-6) + -5.\nAnswer: -5 + sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -48 + 17 + (-9231)\/(-408).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/1280925 and 19\/996275?\nAnswer: 8966475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3320 - 10?\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-70)\/(-60))\/(1260\/(-240)). Let z(x) = -x - 3. Let s be z(3). Which is the closest to -1?  (a) -2\/3  (b) 2  (c) s  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -200, -444, -690, -938?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 - (6531\/(-77) - (-2)\/(-11)). What is the highest common divisor of 36 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 + 14*q**2 - 27*q - 9. Let h(w) = w**3 + 18*w**2 + 23*w + 89. Let d be h(-17). List the prime factors of u(d).\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1234, -5060, -11446, -20398, -31922, -46024, -62710, -81986?\nAnswer: -103858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 13 = 2*j - 0*j, 3*q = -4*j - 35. Let w = -9 - j. Find the first derivative of -2*l + 2*l + 2*l**w - 1 + 2 wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 0.3, 0.09, -134?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -81*h**2 + 27*h. Let x be k(-7). What is the hundreds digit of x\/(-10) - 1*5\/(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -236, 5, 11, 0 in decreasing order.\nAnswer: 11, 5, 0, -3, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i + 169 = 134 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -170 - -60. Is (-1)\/(-3) + t\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -2*b**3\/3 + 554*b**2\/3 - 40736*b\/3 + 107736 = 0.\nAnswer: 9, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 260 - 258.35. Let p = -40.35 - h. Which is the nearest to 0?  (a) -1\/5  (b) p  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 925 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 20509*h - 23398 wrt h?\nAnswer: 20509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1400 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -945, -696, -87, 876, 2187?\nAnswer: 3840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -211, -159, -73, 47, 201?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -938\/9 or -103?\nAnswer: -938\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 4*g - 106. Determine q(34).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 5*h - 57. Let s(d) = 6*d + 1. Let o be s(3). Calculate the highest common factor of o and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -48*q**2*u**5 - 2*q**2*u**3 - 3*q**2*u**2 - 20*q*u**2 - 2*u**2 wrt u.\nAnswer: -2880*q**2*u**2 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (9 - (4 - 0)) + -1. Suppose 3*g = 5*q + 62 + 212, -184 = -2*g + j*q. Suppose 0 = 3*r + 4*w - g - 208, w = 5. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 129*p = -14*p + 20*p. Sort 3, 375, p, 2.\nAnswer: p, 2, 3, 375","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 281134.8*-0.2\nAnswer: -56226.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -83806.78 + -4\nAnswer: -83810.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 179297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 16*f + 1. Determine u(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/4332 and 25\/456?\nAnswer: 8664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*a**6*n**3 + 12*a**3*n**3 + 14*a**2*n**3 + a**2*n**2 - 5*a*n**2 wrt a?\nAnswer: 1200*a**3*n**3 + 72*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*(-3 - 6\/3). Let s be (-8)\/u*10\/(-4). Suppose 4*h - 47 = -l, s*l - 106 = 3*h - 12. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1622*y**2 + 90*y**2 + 611*y**2)*(5*y**3 - 2*y**3 + y**3).\nAnswer: -3684*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 5*x + 4 = -m, -x = -2*m + 6. Find the third derivative of 23*t**6 - 127*t**4 + 4*t**m + 127*t**4 - 2*t**2 wrt t.\nAnswer: 2760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 599108 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -31473*-1.54\nAnswer: 48468.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4655*m - 7360722 + 7360722 to k + r*m and give r.\nAnswer: 4655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1397899, 22, 2\/7?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(171)*-2)\/(sqrt(9) + sqrt(144)\/sqrt(4))*-6 - (2*(0 + sqrt(76)) + (sqrt(19)*1 + -3)*6)**2.\nAnswer: -2224 + 384*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*a**5*x**3 - 10*a**5*x**2 - 64*a*x**3 - 2*a + x**2 wrt a?\nAnswer: -80*a**3*x**3 - 200*a**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*k - 360 = -80*k. Solve k = -4*r + 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -21*b + 1837. What is q(92)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1041 and 2830826.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 44 + 4*u + 42.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 2386756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121*c + c**2 + 121*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 27668952 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of 529*x**6\/2 - 19*x**3 - 2*x**2 + 3674. What is the third derivative of i(w) wrt w?\nAnswer: 95220*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhhhqhhhhh.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 + 29 + (-70 - -15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26269*-743.8.\nAnswer: -19538882.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8132 + 8980. Calculate the highest common divisor of 106 and r.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 179078, 179065, 179044, 179015?\nAnswer: 178978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: What is -0.0075644435 plus 12?\nAnswer: 11.9924355565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + 11. Let y = 29 - d. Calculate the greatest common divisor of y and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4726.56 litres?\nAnswer: 4726560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4887791 and 445.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v**3 + v**2 + 8*v + 7. Let t = 2 - 7. Is a(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*i**3 + 6*i**3 - 3 - i**3 in the form u*i**2 + a*i + s + y*i**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1648)\/(-6)*51\/34. Let l = a + -410. What is z in 8\/9*z**3 - 2\/9*z**4 + 0*z**l + 0*z + 0 = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.029+-736890650\nAnswer: -736890649.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 136 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 169 or 112?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/823 or 7?\nAnswer: 6\/823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -583*h**2 + 4*h - 164*h + 164*h to the form u*h + m + b*h**2 and give b.\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1745470, 1745472, 1745474, 1745476?\n\"Answer: 2*l + 1745468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oosootolssto. What is prob of picking 2 o?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10961 + 14183 = 398*u + 7234 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -20104880 to the nearest 100000.\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = 3*j - 9. Let d = 5 + 0. Solve -2 = j*t - d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (275*c - 1 + 2 - 272*c)*(0*c**3 - 2*c**3 + 3*c**3) as z*c**3 + g*c + a*c**2 + w + i*c**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4048801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 22 = 2*q, -5*i - 4*q = -5*q + 21. Let l(r) = 48 + r**2 - 16 + 5*r - 20 - 16 - 3*r. Determine l(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20 - 5240?\nAnswer: -5300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*g + 60 = 79. What is the third smallest value in 0.73, 0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -2. Let w = -5.8 + 10.8. Suppose d - 299 = -12*d. What is the nearest to -1 in h, d, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 765 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*l**3 + 4*l**2 - 4*l**2)*(2815 - 19021 - 943 - 23898) to the form z + j*l**3 + g*l**2 + c*l and give j.\nAnswer: -123141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 750314713.\nAnswer: 193, 3887641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2516928 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -375*g**2 - 645*g**2 + 1 + 362*g**2 - 514*g wrt g.\nAnswer: -1316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {j: 5, v: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 4, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 79644 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hfkashahkh. What is prob of sequence ksh?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 237 + 246 - 483 + 0*r - r. Let m(f) = -10*f + 2. Determine -k(v) + m(v).\nAnswer: -9*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, o: 3, d: 9, s: 5}. Give prob of picking 2 y.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5628 by -84.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -48 - -45. Let j = -29.69 + 30. Let w = 4.31 - j. Which is the third smallest value?  (a) l  (b) w  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -0*y - 30. Let z(i) = -i**3 + 12*i**2 + i - 36. Let f be z(9). Let x = f + -201. Calculate the remainder when x is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 3*x = 0. Suppose -2*d + 4*w - 122 = x, -2*d + 61 = -3*d - 4*w. Round d to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 - (-1 + 49)\/(-4). Let g be 24\/y*8\/3. Suppose 2*o = -g, -2*z - 2*z = 5*o - 494. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 173441 and 122488.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5320945 is divided by 490?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 59420.1636us?\nAnswer: 0.000000098247625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/3  (b) 13  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 4*l**3 + 496*l**2 - 3148*l - 3640 = 0.\nAnswer: -130, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does -114 = -691\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**0\/m)\/(m\/(m\/(m\/(m**(-2\/39)\/m))*m)))\/(m**(5\/4)*m**12) assuming m is positive.\nAnswer: m**(-2387\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2\/249 + -982\/1743. What is the closest to -0.6 in -0.4, -1, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 5*w, -5*m - 4*w = -8*w - 538. Suppose -3*s = n - m, 4*s - 132 = 5*n + 3. Calculate the remainder when 173 is divided by s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 5  (c) 273\/8  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20 - 20.1. Let c = 1284 + -1276. Put 2, a, c in decreasing order.\nAnswer: c, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 3 + c + 3.\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 take away 275.74954238338?\nAnswer: -278.74954238338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 3 + 2)*(2*b + b - 4*b)*(-1 - 2 + 2).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15672 + 192 = -123*c - 221*c for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 4*o**2. Suppose v + p - 3 = -0*v, -2*p - 8 = 0. Let y = 9 - v. Let b(z) = 79*z - 2*z**y - 79*z. Calculate b(d(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12835505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 83600 and 48507000.\nAnswer: 1067154000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2678266, -2678270, -2678274?\nAnswer: -2678278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -151*y - 917554 + 3602334 = 0. Does 123 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -921*q - 146189 + 15407 for q.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 94*z - 170*z + 12 + 103*z. Calculate the remainder when i(3) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -180 + 180.1. What is the nearest to -0.1 in r, -5, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 7702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40 + -22. Suppose -2*z + 3*r - 12 = 0, l = -3*z - 7*r + 3*r. Suppose 5*k + 15 = -10. Which is the closest to -1\/2?  (a) k  (b) -3  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 + -15.4. Suppose 6 = -u - 0*l - l, 3*u + 12 = -l. Let j = u - -2. Which is the closest to -0.1?  (a) 5  (b) z  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/93  (b) 0.3  (c) -4  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -10. What is the remainder when d is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -4. Let l be (-193)\/2 - (-2)\/(-4). Let r = l + 483\/5. What is the closest to y in 3, r, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - -63. Suppose -5*q - 2*q = -h. Is q not equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -9, -4, -1, 1 in decreasing order.\nAnswer: 2, 1, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 9.39 times -3\nAnswer: -28.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -271435, -273273, -275109, -276943, -278775, -280605?\n\"Answer: v**2 - 1841*v - 269595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 PM and 1:14 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 6*h - 19. List the prime factors of p(9).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1472453 is divided by 914.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 4*h + 5 + 0 = 0, 4*h = 4*y. Let z(x) = x**2 - 8*x**3 + x**2 - 4*x**2 - 2*x - 1. What is the remainder when 11 is divided by z(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10722 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05973 times 3?\nAnswer: 0.17919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 658 + -185. Let h = l - 298. Calculate the greatest common factor of h and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 29 = 3*y + 5*w, 2*y - 3*w = -6. Let o(h) = -h**2 + 2. Let v be o(0). Put v, -4, y in increasing order.\nAnswer: -4, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 270, -0.2, 4 in increasing order.\nAnswer: -0.4, -0.2, 4, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15686, -15722, -15766, -15824, -15902, -16006, -16142?\nAnswer: -16316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.018, 0.1, -1\/192944?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.218997806 + 1.219. Round r to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23803896701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3\/8, -3, -2, 17, -10?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 81340552042 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.18, -41, 0.1, 1\/2 in ascending order.\nAnswer: -41, -0.18, 0.1, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24033433.0870275996716 - 0.0865515996716. Let l = k - 24033516. Let i = 83 + l. What is i rounded to 5 decimal places?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(5 + (2*((sqrt(684) + 2*sqrt(684))*-3 + sqrt(684)) - (-1 + 4*(sqrt(684) + 1 + sqrt(684)))**2) + 2).\nAnswer: -43778 - 384*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1, 7, 19, 37, 61, 91?\n\"Answer: 3*i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -42 and -0.35697.\nAnswer: -42.35697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3772 and 36892?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n - 35. Let t(x) = x - 18. Let g(d) = -7*t(d) + 3*v(d). Let h be g(14). Suppose -h*c - 4 = -32. Is c less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49328 is divided by 515?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/2)\/((-32)\/(-128))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/(-56) - 4\/28\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - 20*q + 55. Give p(-23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 - 1)*(1 + 2 - 2) + (-3 + 3 + 2)*(0 + 0 - 1) + 2 - 1 + 1)*(l**2 + 7158 - 7261 - 5*l**2).\nAnswer: 4*l**2 + 103","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 8  (b) 24  (c) -4  (d) -390\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + -2037?\nAnswer: -2038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -38 + 79 + q - 33. Let f be w(4). Solve 2*h - f = 5*b, 0*b + 2*b + 7 = 3*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12225, -24455, -36687, -48921, -61157, -73395?\nAnswer: -85635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15586 is divided by 75?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5204420*j**5 - 3*j**2 - 42*j - 2342?\nAnswer: 312265200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-5)*(-125)\/(-75)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-18)\/45 - (-354)\/10. Let l be (-6)\/(-10) + (-21)\/w. Solve 4*f + 12 = -3*d - 0, l = -3*f + 5*d + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from tbktdkdxkttxkxdx.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 187 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -107641, -107744, -107909, -108130, -108401, -108716, -109069, -109454?\n\"Answer: c**3 - 37*c**2 + c - 107606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2299) + -3)**2*-1.\nAnswer: -2308 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of -3*u**7\/70 + u**6\/10 + 11*u**5\/60 + u**4\/12 - 53*u**2. Factor w(j).\nAnswer: -j*(j - 2)*(3*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -72433 + 72432.500136. Let w = -24.5 + 25. Let k = f + w. Round k to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -7\/5  (c) 5  (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -29672*c + 329. Is t(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/(-21) + 78\/(-21). Let k = u + 5. Let r(z) = -6. Let f(o) = -11. Let c(v) = f(v) - 2*r(v). Let y(j) = j - 1. What is k*y(i) - c(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 120 = 2*q. Find the common denominator of (9\/q)\/((-180)\/1675) and 145\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 35 - 32. Suppose o + 4*c + 20 = -3*o, -4*c + 8 = -v*o. Is -2 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*4\/16*(-28)\/49?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.072 and -0.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2009 + 2188. Calculate the remainder when m is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 - 25*r**2 - 57*r + 77. Let n be c(27). Sort 0.4, n, -0.17, 2\/11 in increasing order.\nAnswer: n, -0.17, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 734626300 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(2695)*-2 - -6*2*sqrt(2695))\/((-2*sqrt(1078))\/sqrt(2)*5).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**5\/2 - 27*u**4\/2 - 140*u**3.\nAnswer: u**3*(u - 35)*(u + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(1*-1*sqrt(72)*-6 + 5) + -3)*-1)**2.\nAnswer: 144*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 + 25. What is the third smallest value in h, -2\/3, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24813 is divided by 653?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15086 - 15086. Solve 497*m - 495*m + h + 1 = k, 0 = -h + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -127871*q**4 + 3858*q + 16?\nAnswer: -1534452*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 291 - 205. Let z = -1.038847 - -0.038847. What is the third smallest value in z, s, 3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 463549634 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -20 in -2, -1\/175, -1, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4709, 5379, 6489, 8033, 10005, 12399, 15209?\n\"Answer: -u**3 + 226*u**2 - u + 4485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1245371013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 PM and 10:01 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 46 + 19. Let w be (11 + t)\/(4\/(-22)). Suppose -4*z - 3 + w = 0. Which is bigger: z or 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 6, -1, -5, 1\/3, 2\/45?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.97302 to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 399985.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1908\/(-1696)*(-40)\/(-3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/(-3)*26937\/205. Suppose -5*q - 5*m = 5 + 5, 0 = -q - 3*m. List the prime factors of q\/(-15) - i\/(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from npcjncy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 9 = -3, 2*m + f = -36. Let v be 2*1\/8*m. Do v and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 5*p**3 + 3926500*p**2 - 7853020*p = 0?\nAnswer: -785302, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -44 + 65. Suppose -4*b + 3*u = -6, 5*b + 2*u + 2 - o = 0. Let w(i) = -i**3 + 3*i**2 + 4. Let p be w(b). Solve p = -4*h, 6*h = 2*d + 5*h + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 864887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 350050313 - -1?\nAnswer: 350050314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = -h + 2, 52625*f - 13 = 52626*f - 2*h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2849, 3540, 5417, 9074, 15105, 24104, 36665?\n\"Answer: 99*x**3 - x**2 + x + 2750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -8*f**3 + 4*f**3 + 1594*f**2 + 268*f + 1665*f**2 - 3515*f**2 + 520 = 0?\nAnswer: -65, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(2\/27))\/g**(-11))\/(g**(-23\/4))**(-49) assuming g is positive.\nAnswer: g**(-29125\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + h - 1 = 0, -2*x + h + 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1800173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3*a + 121. What is i(7)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 62, 129, 208, 305, 426, 577, 764?\n\"Answer: v**3 + 60*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4\/5, -2, 16\/449, 887, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 PM and 3:57 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 4  (b) 0.5  (c) -12\/5  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 7:05 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 2*l**2\/19 + 340*l\/19 - 1038\/19 = 0?\nAnswer: -173, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7*(-4)\/(-56)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 567874009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -13357.6  (b) 0.09  (c) 0  (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of -2\/11*h**4 + 12\/11*h**2 - 18\/11*h + 4\/33*h**3 + 4 - 2\/55*h**5. Let t(x) = 0. What is x?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 - 6*f + 1. Let y(s) = s**2 - 7*s + 1. Let j(b) = 7*c(b) - 6*y(b). Is 8 a factor of j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 247435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 2*f**2. Let o(w) = 173*w - 95*w + 262*w + 223*w. Give o(n(v)).\nAnswer: 1126*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 177518 to the power of 1\/2, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4153 + 4206. Calculate the remainder when k is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 776 - 759. Let a(x) = x**3 + 7*x**2 + 5*x - 7. Let d be a(-6). Let h = z + d. What is the greatest common divisor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l**(2\/5)\/l))**(1\/31))**(-1\/4) assuming l is positive.\nAnswer: l**(-2\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3468 is divided by 1734.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 158 at most 221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v*v**(-8))\/(v*v**(-2\/91)))\/(v**(-2))**(-3) assuming v is positive.\nAnswer: v**(-1181\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 9 = 3*n, 5*t = -2837600*n + 2837596*n - 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 236108?\nAnswer: 2, 67, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -881 times 3\nAnswer: -2643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-8)*((-544)\/(-48))\/17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5172471 (base 8) to base 16.\nAnswer: -14f539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -58*l**2 - 3*l + 3. Let y be g(1). Is 59 a factor of (-1 + y)\/(1507\/(-187) + 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 19\/(76\/16)*(1 - 0). Is 15 a factor of (n - 56\/12)\/((-6)\/4689)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -836*s**3 - 521*s**3 - 118*s**3.\nAnswer: -1475*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 564 divide 404418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-32)\/(-24))\/((-2)\/3). Which is the nearest to -0.1?  (a) 2\/3  (b) 4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 471*l + 3656 - 280*l**2 - 111*l - 223*l - 121*l wrt l.\nAnswer: -560*l + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5735334 a multiple of 2211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.674329 micrograms to nanograms.\nAnswer: 4674.329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 141 - 136. Let n(l) be the third derivative of 1\/30*l**5 + 0*l + 0 + r*l**2 + 0*l**3 + 0*l**4. Let a(b) = -5*b. What is n(a(h))?\nAnswer: 50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 163\/251283438 and 103\/42?\nAnswer: 251283438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - z**2 - 3 + 0.\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -32 + 202?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88 = 29*n - 202 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**2 - 12*m. Let x(p) = -4*p**2 - 49*p. Let c(q) = -4*x(q) + 18*z(q). Let w be c(-10). Solve -b - b + 4 = w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 2\/7, 1\/4, 1.1, 0.3, 0, 4, 313\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*p + 2. Let y be (-3 - -8)*p\/25. Factor 1\/5*g**4 + 1\/5 - 2\/5*g**2 - 2\/5*g**3 + y*g**5 + 1\/5*g.\nAnswer: (g - 1)**2*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2)*(0*d + 8*d - 4*d) - 3*d + d + 3*d + 2*d - d - 3*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143786 is divided by 47926.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4857?\nAnswer: 3, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum -790500 and -1981.\nAnswer: -792481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 times 114.148\nAnswer: -2.28296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 6*g. Let u(x) = -x + 9. Let q be u(7). Solve -19 = -2*y - 5*a - g, -q*y + 4*a = 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 10 = -4*p + g, 0 = -p - 4*g + 13. Let l be (-2)\/(-1) + p - (1 - 1). Solve -d + 2*b = -l*d - 16, 2*d - 4 = 3*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131288 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 147, -46, 4, 2, 69, -4 in decreasing order.\nAnswer: 147, 69, 4, 2, -2, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -192 + 191.9306. Let d = 0.082 + k. Round d to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -92*y - 7. Let n(g) = -46*g - 9. Let l(f) = 46*f + 8. Let p(v) = -6*l(v) - 5*n(v). Let z(m) = -6*k(m) + 13*p(m). What is the units digit of z(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -7*w**2 + 8*w - 7. Let j(t) = -t**2 - 1. Let q(p) = 5*j(p) - y(p). Let b(g) = 3*g**2 - 8*g + 1. Let o(m) = 3*b(m) - 4*q(m). Give o(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i - 1. Let v(f) = -12*f**2 + 12. Suppose -174 = -17*x - 38. Let y(w) = x*d(w) + v(w). Factor y(n).\nAnswer: -4*(n + 1)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*r + 2040 - 2040 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -16 + -210?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0482 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = h - 13, -h - h + 5*c = 19. Suppose 0 = -h*t + t. Suppose -6*b + 3*b + 399 = t. What is the highest common factor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 88 - 79.9. Let p = 13.4 - z. Round p to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*w - 2*w - 33 + 33 to n*w + a and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -46  (b) 2\/9  (c) -5502\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 5*f = 18, -5*f - 27 = -3*s - 53. Put 0, 20, -4, s, 5 in ascending order.\nAnswer: -4, s, 0, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -44, -7, 23, 12, -2 in descending order.\nAnswer: 23, 12, -2, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 560513838\/13 and 43116450 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-5*z + 4*z + 6*z)*(-3 + 2 - 1) - 69*z - 8*z + 33*z)*(3 + 2 - 2) in the form c*z + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -8378828, -16757666, -25136506, -33515348?\n\"Answer: -h**2 - 8378835*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -2*k + 299. Let x be p(0). Suppose 4*w - 4*c - x = 61, -3*w + 246 = 5*c. Suppose -3*u = m - w - 627, 2*u - 2*m - 476 = 0. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27336931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 39\/7 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6210\/(-1840))\/(798\/608).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1247240 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 7:54 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -257*f**2 + 129702*f + 1 + 125*f**2 - 129702*f.\nAnswer: -132*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 1288 = 158*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 226 - 50 = 3*n, -748*k - 96 = 5*n - 747*k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (17 - 19)\/((-2)\/1026) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-1)\/(-3))\/(112\/1824) and 53\/91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 202*r - 303. Is 13 a factor of b(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -272*x**3 - 283*x**3 + 68*x**3.\nAnswer: -487*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72 and 1161.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 26851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f + 11*f - 2382 = 0. What are the prime factors of f?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 181, 155, 95, -11, -175, -409?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 130\/13 + 1 + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -4\/5, -2\/35.\nAnswer: -4\/5, -2\/35, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 975, 3049, 6505, 11343, 17563, 25165, 34149?\n\"Answer: 691*j**2 + j + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -11075*f - 310254. Determine c(-28).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25992439372.2 - 0.14.\nAnswer: 25992439372.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1822 and 279.\nAnswer: 508338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 2 - 1)*(2*v + 2*v - 5*v) + (0 - 3 + 1)*(v - 3*v + 3*v))*(v**2 + 0*v**2 + 4*v**2) in the form i + o*v**2 + a*v + w*v**3 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-12)\/66 - 2384\/(-44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 15, j: 3}. What is prob of picking 3 z?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2981888, -2981868, -2981848?\nAnswer: -2981828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of 13*r**4\/12 - 2*r. Is 26 a factor of s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-22)\/(-7) - (8 + 0)\/56. Let s(h) = -h**3 + 4*h**2 + 5*h - 4. Give s(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of -i**3\/12 - 3*i**2\/2 - 9*i - 596. Determine w so that j(w) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -198*u**2 - 350*u + 670*u + 2*u**3 + 0*u**3 wrt u.\nAnswer: 12*u - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 47157136 and 516464?\nAnswer: 613042768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 + 71*r**2 - 1489*r - 115124. Calculate h(-68).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 0.1, 20.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the second derivative of -r**7\/2520 + r**6\/360 - r**4\/4 - 3*r. Let p(a) be the third derivative of k(a). Factor p(m).\nAnswer: -m*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + -1115271?\nAnswer: -1115266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 555 and 999.\nAnswer: 4995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2571513055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 821167.389 milliseconds?\nAnswer: 0.0013577503125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**2)**(-12)\/(q**7\/((q*(q\/q**1)\/q*q)\/q*q)) assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -3*j**4 + 3*j**2 + 19*j**3 - 4*j**3 - j**2 - 15*j + j**2 + 0*j**2 = 0?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77314327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w**3 + 906658*w**2 - 906658*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*q**5 - 6296*q**4 - 43678*q**3 + 1574*q**2 + 10920*q = 0. What is q?\nAnswer: -780, -7, -1\/2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of -1 + 23 + -5*(-12)\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-5)\/(15\/(-12)))\/2. Suppose 248000 = -w*z - 2*z. What is z rounded 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 443980579?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 23, -19 in increasing order.\nAnswer: -19, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 6*g - 20, 3*y + 4*g = 119. Calculate the highest common divisor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2443233030 (base 5) to base 11.\nAnswer: 3327177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -2*f - 4*y, 2*f + 2*f = 4*y + 44. Calculate the smallest common multiple of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94380433 to the power of 1\/2, to the nearest integer?\nAnswer: 9715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of -c**4\/12 - c**2. Let o(a) = -11 + 11 - 2*a + 4*a. Let f(q) = q. Let u(y) = 3*f(y) - o(y). Calculate h(u(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 532392 divided by 177464.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 + 5*d + 3. Let o be t(-5). Suppose -19 = -o*z + 11. Suppose 0*w + w - z = 0. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + (-30)\/(-4) + 5\/(-10). Solve o = 7*n - 6*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4733668 is divided by 42.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 7, 1\/4, 1 in decreasing order.\nAnswer: 7, 1, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 82022456.\nAnswer: 5\/82022456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -5 + 2*i + 1 - 4*i. Let d be p(-3). Suppose z + d*z = 6. Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 187, 379, 571, 763, 955, 1147?\n\"Answer: 192*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 60850877 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 AM and 9:26 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -323, 3, 0, -3, 4, 1, 5 in descending order.\nAnswer: 5, 4, 3, 1, 0, -3, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**2 - 5*a + 103. Let d(y) = -2*y**2 + 5*y - 99. Let h(v) = -5*d(v) - 4*g(v). Does 32 divide h(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*v - 1\/5*v**3 + 0 + 2\/5*v**2.\nAnswer: -v**2*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3490, -6994, -10784, -14860, -19222?\n\"Answer: -143*w**2 - 3075*w - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 AM and 11:15 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*k - 23353 = 53075. List the prime factors of k.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 7*u - 2. Let k be y(1). Solve -15 = 2*m - k*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 9809*x + 7. Let j be g(-3). Let u(a) = -2966*a + 18. Let h be u(3). Let n = j + h. Round n to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -58877*y + 28020 wrt y?\nAnswer: -58877","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dpl when three letters picked without replacement from pxapaladppalpdappa?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/5*(-120)\/(-2). Calculate the greatest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 69 - (74 - 80)) + 21.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -75351235 rounded to the nearest one million?\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -33204, -33202, -33200, -33198, -33196?\n\"Answer: 2*h - 33206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 4*n. Suppose n*t = -t + 20. Let m(z) = 2*z**2 + 11*z - 55. Let c be m(-9). What is the greatest common divisor of c and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12345*f + 12353*f + 35 = -133 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 240 = -7*v. Let d = v + 165. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 + 8*f**2 - 7*f + 2. Let d be (2 - 1)\/((-20)\/24 - -1). Calculate the remainder when 62 is divided by c(d).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the second derivative of 43*q**4\/12 + 13*q**3\/6 + 3*q**2\/2 - 189*q. Let g be m(-1). Is g less than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the third derivative of -f**7\/420 - f**6\/36 - 2*f**5\/15 - f**4\/3 + 5*f**3\/6 - 5*f**2. Let g(r) be the first derivative of w(r). Factor g(h).\nAnswer: -2*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3317, 3709, 4763, 6809, 10177, 15197, 22199, 31513?\n\"Answer: 55*u**3 + u**2 + 4*u + 3257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:44 AM and 11:43 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 12 + 3 - 12*g - 8 as l + z*g and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(3\/2) + 30 + -18. Let a(f) be the second derivative of f**5\/20 - 7*f**4\/6 + f**3\/2 - f**2\/2 - f. Is 16 a factor of a(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -70 + 74. Suppose -4 = 3*k - u. Suppose j + 2*i - 91 = 0, k = -5*i + 8 - 3. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 3 = 1. Let x be (14\/21)\/(1\/18). Suppose 7*d - x*d = 0. Is d smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 82, 26, -34, -98, -166, -238, -314?\n\"Answer: -2*a**2 - 50*a + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -2*h - 24. Let y be (-4 + (4 - -1))\/(-1). Let a = y - h. Solve 2*d - 3*p - 2 = 15, 2*d = -p + a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 + 7*v**2 + 11*v + 6. Let g be p(-5). Let o be 1 + 4 + 1 + 1. Calculate the greatest common factor of g and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4553 + -1?\nAnswer: -4554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-8)\/(-3))\/4*363 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2399771 divided by -41?\nAnswer: -58531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 121926*q**2 + 121912*q**2 - 69*q + 45*q + 26*q - 243824*q**2.\nAnswer: 14*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 56779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.0612 + 0.4388. Let r = -2\/119 - 220\/1071. Which is the nearest to 0?  (a) r  (b) 10  (c) -0.2  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/720 and -173\/79080.\nAnswer: 474480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, c: 1, d: 1, q: 1, m: 1}. Give prob of picking 3 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 PM and 12:51 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 1  (b) -3  (c) 179488\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9643874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.086, 390, 4\/23, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 2573 = -5657. Is 1647 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15\/150*-5 + 52\/8. Solve 0 = -n*s + s + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(0 + 3*((sqrt(104)*1 + sqrt(104))\/sqrt(8) - (1 + sqrt(26)\/sqrt(2)))))**2*-3 + -3.\nAnswer: -13611 + 1944*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 1\/166015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29752 + -29754. Let v(w) = -29*w - 54. Determine v(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -109250 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18483952?\nAnswer: 2, 1155247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 285 + 11*z + 430*z**4 - 3*z + 18*z + 32*z - 287 wrt z.\nAnswer: 5160*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -88\/28935 and -31\/90.\nAnswer: 57870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 273325 to the nearest one thousand.\nAnswer: 273000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -56*f - 59 + 59 - 3*f - 4*f - 5*f + (4 - 1 - 2)*(0*f - f + 2*f) to t*f + s and give t.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 4750*x**4 - 4*x**3 - 2*x**2 + 2*x + 9005. Let n(c) = 2*c**4 - 2*c**3 - c**2 + c + 3. Let q(v) = m(v) - 2*n(v). What is the derivative of q(g) wrt g?\nAnswer: 18984*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/5)\/(14\/(-140)). Let g = -3 - -2. Let n = g - -13. What is the highest common factor of y and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 x, and 2 q when four letters picked without replacement from {x: 2, d: 9, q: 6, e: 2}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -34 - -a9?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1016 + -882. Calculate the remainder when s is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2892489303.\nAnswer: 3, 11, 557, 157363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7145 + 35727\/5. Which is bigger: -136.5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-18)\/(-27)*(1 + 2\/4). Let w = -1.8 + 2. Put w, p, -6\/7 in ascending order.\nAnswer: -6\/7, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(567)*-2 - (-3*(2 + sqrt(7)) + -5).\nAnswer: -51*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 6:04 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g**4 + 2*g - 2*g + (-4*g**2 + 40*g - 40*g)*(-131*g**2 - 53*g**2 - 17*g**2).\nAnswer: 803*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 4*q = -52. Let o = -23 + q. Let w(y) = -y**3 - 9*y**2 + 3*y - 3. Is w(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/5 + 27\/(-45). Which is the smallest value?  (a) m  (b) 57  (c) -3\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of -73*x**6\/6 + 3*x**2 - 3*x - 239. Find the second derivative of f(a) wrt a.\nAnswer: -1460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35 divided by -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**4 + 5*s**3 + 8*s**2 - 12*s = 0. What is s?\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1368 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5382 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 797 = -2707. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 497 - 233. Does 44 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*a**2*x**5 - 1230*a**2*x**2 - 8*a**2*x + 3*a - 7591*x**5 wrt x?\nAnswer: -540*a**2*x**2 - 455460*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -996*c**2 + 2 + 2 - 4.\nAnswer: -996*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(490))\/sqrt(10) + sqrt(49) + sqrt(1225)*1)\/(3*(-1*sqrt(7)*-4 - sqrt(7))*2).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - c - 49585005 = 0, 7*i - 10*i + c + 29751005 = 0. What is i rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 12*d - 14*d = -23, 41 = 2*l + 3*d. Let f be l\/5 + -4 + 1. Which is smaller: f or 16?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (u + u - 3*u)*(-3 - 18 + 4) to the form a + f*u and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2860 + 2860. Which is the nearest to h?  (a) 5  (b) 2  (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -2*m**2\/13 - 100*m\/13 - 98\/13 = 0.\nAnswer: -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -786*i**2 - 57*i + 776*i**2 + 431 - 425 as x + a*i + w*i**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 - 4*p + 2. Let a(s) = -7*s**2 - 89*s + 14. What is a(h) - 6*i(h)?\nAnswer: -h**2 - 65*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 44.95537 years in millennia?\nAnswer: 0.04495537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1541*j**2*l**2*m - 2*j**2*l*m + j**2*m**2 + 14*j*l**2 - 134*j*m**2 - 2*l**2 wrt j.\nAnswer: -3082*l**2*m - 4*l*m + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 386824330 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 192 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(11907\/(-5955) + 2). Suppose 3*r = -5*n + 2965, r + 5*n = -r + b. Round r to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.17446um in centimeters?\nAnswer: 0.000517446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 + -8. Suppose m*y - 24 = -y. Let k(v) = v**2 - 6*v - 2. Calculate k(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*q + 2610 = -1836 - 1300. Solve 0 = -60*h - 41 + q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.36 and -0.014.\nAnswer: -0.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26584, -26562, -26554, -26566, -26604, -26674, -26782?\nAnswer: -26934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from igggggrgirgfrfigiggr. What is prob of sequence igg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 - 6*l + 4. Let s be h(8). Let j(z) = 3*z + 9 + 9 - s + z**2. Is j(-4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from duududdutup. Give prob of sequence tuu.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 6*r - 3. Suppose -1 = 5*p - 21. Let i be q(p). Solve i - 5 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s - 3. Let d(m) = 180*m + 17. Determine -d(h) - 4*j(h).\nAnswer: -176*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 63484 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1170779510\/7 or -167254217?\nAnswer: -167254217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -11, -14, -17, -20, -23, -26?\n\"Answer: -3*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 1 - z - z + 2 + 0. List the prime factors of o(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 18807*a + 18794*a - 37624*a. Let m(b) = -51*b**2. Calculate m(z(n)).\nAnswer: -26979*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 6.8. What is the smallest value in 0.2, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18045769 and 1193689.\nAnswer: 306778073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.879 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of -37*f**4\/4 - f**3\/3 - f**2\/2 - 1. Let i = 5 + -6. Let q be r(i). Solve 1 = -4*w - 4*j - 3, 0 = 3*w - 5*j - q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 6*i**2 + 20296*i + 4139389. Calculate z(-218).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 7:10 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3766273 (base 9) in base 15?\nAnswer: 2a7d59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 - t**2 - t + 140. Let k be b(0). Suppose 4*d + 0*d = k. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0028624 to 4 decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 + 6*z**2 + 2. Is 9 a factor of u(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 7*z - 42. Let k be 176\/(-154)*z\/4. Suppose -k*g = -11*g + 56. Solve -1 = 3*n + g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/16 and -29\/8282?\nAnswer: 66256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -5, -4 in decreasing order.\nAnswer: -0.1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y**(1\/6)\/y*y\/(y*y*y**(-39)) assuming y is positive.\nAnswer: y**(229\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, m: 3}. Give prob of sequence sm.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59367123?\nAnswer: 3, 617, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 739*h**2*u**2 + 46*h**2*u - 17*h**2 - 628*h*u**3 + 255*h*u - 3*u wrt u.\nAnswer: 1478*h**2 - 3768*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20738.49 - -20654. Let i = 281 - 196. Let j = i + n. Round j to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 160018410 divided by -811\nAnswer: -197310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4450 and 1910900?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 1403*t + 102404. Give p(-73).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, v: 1, k: 4, j: 2, i: 3}. Give prob of picking 1 v and 1 j.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3\/3 + 2*c**2\/3 - 20*c\/3 + 16\/3.\nAnswer: 2*(c - 2)*(c - 1)*(c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o + o - 5*o)*(o + 3*o - 12*o) + 2 - 2 - o**2 - 2.\nAnswer: 15*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 34 - 2. Suppose -3*c + 3 = 3*u, 3*u - c + 5*c - z = 0. Let l be (1 + u)\/(21\/(-140)). Solve 2*r + 3*r - l = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3451169 divided by -15?\nAnswer: -3451169\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of 31*o**3\/6 - 44*o**2 + 3*o - 5. Find the first derivative of f(r) wrt r.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 234*110\/5720*2\/246*-2.\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -574 + 1166. Suppose -2*o + 3*x = x - 580, -2*o - 2*x + y = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 0*x - 8 = 3*q, -x = q. Suppose 6 + 74 = x*l. What is the greatest common divisor of l and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**2 - f**2 - f**2)*(-6 + 6 + 4*f) + f**3 + f**3 + 0*f**3 - 3*f**3 + f**3 - 2*f**3 - f**3 - 2*f**3 + 2*f**3 + (2 - 3 - 1)*(-3 - f**3 + 3).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 4\/7)\/((-558)\/(-11718))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/15 + 8\/(-10). Let a(c) = 57*c**2 + c. What is the remainder when a(-1) is divided by (-2)\/11 + 1055\/(-55)*o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1916737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1571 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 192731 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 52 = 4*d, -3*d - 3 = 3*w - 126. Calculate the smallest common multiple of w and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1000 = 1084*a - 525*a - 533*a - 716 for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 AM and 1:36 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -59*n. Let b(k) = -3*k. Give h(b(z)).\nAnswer: 177*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -2 + 6. Suppose 3*f - d = 5. Suppose -2*h = f*h. Solve -3*i - 15 = -h*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-30))\/(36\/(-12))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-seven fifths of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000905947 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1365000, -1365005, -1365010?\n\"Answer: -5*p - 1364995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-716)\/(-18) + 14\/63. Suppose -s - 2 = -5. Suppose 0 = s*d - k + 13. Solve 2*p = 2*x + p - d, -4 = -4*p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003455911 to four decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 15 + 3. Suppose -c - 8 = -3*r + 8, 5*r + 2*c - h = 0. Suppose -r*y = g + y + 13, -g = -5*y - 27. What is the remainder when 20 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 - 5*o + 6. What is u(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-189)\/(-35))\/((-1)\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -4*j + 88, -2*j = -5*x - 6*j + 196. Solve -108*c + x = -102*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o + 93 + 133 - o.\nAnswer: -o + 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - 5. Suppose 0*o - 72 = s*o. Is 6 a factor of (o\/(-15) - 2)*-30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(567)*2 + sqrt(189)\/(sqrt(9)\/sqrt(3)))\/((sqrt(90) - (sqrt(90) - sqrt(90)*-1))\/sqrt(10) + (sqrt(45)*2)\/sqrt(5)))**2.\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = w + 2*h, 4*h - 6*h + 0*h = 0. Suppose -3*m = 4*l - 26, 2*m - 6*l + 2*l = -16. Let n(r) = -r + 13. Let j be n(9). Put w, j, m in ascending order.\nAnswer: m, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 52630\/91 or 579?\nAnswer: 52630\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 142\/(-24495)*15 + 5\/230*970\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.060104 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from xllwtwxtbllwlwtll?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 3 = -s + 5*s, -q - s = 1. Suppose -42*d + 48*d - 1012 = 412*d + 100*d. What is the nearest to -3 in q, 0, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-164 + 8 - 115)*(1 + 0 + 1)*(-o + 3*o - 3*o)*(1 - 1 - 1) in the form c + b*o and give b.\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27)\/(5*sqrt(81)))**2.\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 200\/5*1\/(-2). Let x = -16 - a. Suppose 4*v + 3*o = -7, 4*v = x*o - o + 23. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125741029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -47026 (base 10) in base 9?\nAnswer: -71451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-646 - -662) + (-28 - 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*0.67916169\nAnswer: -0.203748507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 2*n**3\/5 + 105766*n**2\/5 - 211538*n\/5 + 21154 = 0.\nAnswer: -52885, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10649?\nAnswer: 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 72519966 and 16215.\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 120508 to the power of 1\/2, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(140)*2*4 + sqrt(140) + sqrt(140) + (sqrt(140) + sqrt(140)*-2)*-6)\/(4*1*(sqrt(847) + sqrt(847)*1)).\nAnswer: 4*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.02 and -206.\nAnswer: -4.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*m**2 - 9*m - 5*m - m.\nAnswer: 4*m**2 - 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -12*h**2 + 1526*h - 1526. Calculate d(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1250 by 250.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*c**2 - 33*c**3 - c - 33*c**3 + 59*c**3 + 7*c**2 wrt c.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-666)\/(-777))\/((-15)\/(-1190)*2))\/(4\/6)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 62309*d**5 + 40220*d**2.\nAnswer: 3738540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3223590599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -374695950 + 0.045\nAnswer: -374695949.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2240859 to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert ac (base 16) to base 11.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -7*z + 9. Suppose -h + 2 = -z. Let n = -23 - -40. Calculate the remainder when n is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/9)\/((-1)\/(-3)). Let g be 32\/14 - 4\/14. Let x = s - g. Solve 0 = 3*i - x*i - 15, 2*k + 4*i = 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36 + 31 - (3 - 16)) + -2 + -26 + 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, -25, 1\/9, -859, -39?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 307714?\nAnswer: 2, 11, 71, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of -1\/1512*j**8 + 2*j + 1\/270*j**6 + 0 - 1\/108*j**4 + 7*j**2 + 1\/945*j**7 + 1\/27*j**3 - 1\/135*j**5. What is f in v(f) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c5b11 (base 13) in base 3?\nAnswer: 1100221002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 - 273255625.6.\nAnswer: -273255625.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 1:56 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18622, -37347, -56062, -74767, -93462, -112147, -130822?\nAnswer: -149487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 10, h: 2, x: 4}. Give prob of sequence xxh.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101 = -52*g - 49. Is -3\/37 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.39, 1, -30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.1 + -4.9. Let f = -5.85 - x. Round f to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9152846 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 5 + 5 - 4 - z**2 + 21*z. Is 11 a factor of t(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/7, 774, 0, -15.4?\nAnswer: 774","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 43991954 by -5.\nAnswer: -43991954\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - -5) + (1 - 5). Suppose v*o + 2*o - 370 = 4*b, 3*o - 209 = 5*b. What is the remainder when o is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 6133*t + 1. Let a(h) = -16*h. What is l(a(w))?\nAnswer: -98128*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -2*s + 5 - 7, -3*s + 3 = 3*z. Sort -3, -2, 11, z, -1 in ascending order.\nAnswer: -3, -2, -1, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -10048*n + 66. What is the ten thousands digit of u(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2006\/10 + 2\/5. Suppose 4*o - 87 - 111 = -3*j, k = 3*j + 5*o. What are the prime factors of j?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u**2 + 0*u**4 - u**5 + u**4 + 1704*u**3 - 1695*u**3 + 4*u = 0. Calculate u.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 165 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 83657 from -200173.\nAnswer: -283830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14941 is divided by 293?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -6*m**3 + 8*m**2 - 13*m. Let g(u) = 6*u**3 - 7*u**2 + 13*u. Determine 5*g(w) + 4*v(w).\nAnswer: 6*w**3 - 3*w**2 + 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 602096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39053 + 25081 = 42*d. Calculate the lowest common multiple of 3 and d.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -41*x + 113. Let a be j(14). Let u = 767 + a. Is u a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/760 and -18\/39805?\nAnswer: 318440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) 0.5  (c) -35909187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 - 12*f**2 + 13*f + 4. Let z be x(-13). Find the first derivative of -12*u + 23*u - z - 10*u wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8694, 8695, 8696, 8697, 8698?\nAnswer: 8699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8b217 (base 16) to base 10.\nAnswer: 569879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the second derivative of 0*w**2 - 7*w - 1\/6*w**3 - 1\/3*w**4 + 0. Give j(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 7, 3, -2, -1.7, -1\/41, -1\/4?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 413*m - 413*m + 63*m**4 + (0*m**3 - 5*m**3 + 3*m**3)*(-1 - m + 1) - 2*m**4 + 2*m**4 + 2*m**4.\nAnswer: 67*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 0.521906 weeks?\nAnswer: 87.680208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = c - 367, -v - 185 = 4*c + 3. Let p = 123 - v. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 3*n**2 - 42*n - 49. Let g be d(15). Put 2, 0, g in increasing order.\nAnswer: g, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -111\/748 and 57\/1359592.\nAnswer: 14955512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 208 - 330. Let s = d + 182. Suppose 44 = 2*t + 4*l, 14 = -2*t + 4*t - 2*l. What is the highest common factor of s and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -215, -211, -205, -197, -187, -175, -161?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/(-12) - (-21)\/(-12). Let f = 1545\/437 + -68\/19. Which is bigger: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -1296*q**3 + 13*q + 36. Let k be f(-3). Suppose 19*t + 8921 = k. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 90 and -1.06?\nAnswer: 91.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/4*(-52)\/1105?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 58*m**2*s**3 + 8*m**2*s - 2*m**2 - 96884*s**3 wrt m.\nAnswer: 116*m*s**3 + 16*m*s - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*f + 8*f**2 - 281*f - 5*f**2 + 71*f + 78*f - 24*f.\nAnswer: 3*f**2 - 165*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 10010101001001 (base 2) in base 13?\nAnswer: 4463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 4*a**2. Let b be m(1). Solve 8 = -b*t - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z**2 - 2*z + z**2 + 4*z**4 + 39 - 36 to the form o*z**3 + n*z + b + q*z**4 + m*z**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of 15*h + 7\/80*h**5 + 1\/60*h**6 + 0*h**3 + 0 + 0*h**2 - 1\/24*h**4 - 1\/24*h**7. Determine d, given that v(d) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 36*s**2 - 1014*s + 1993. Give t(26).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 759873383 to the power of 1\/2, to the nearest integer?\nAnswer: 27566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 - c. Let p = 356 - 353. Let l(w) = 2*w**2 + w. Determine p*l(k) + 4*v(k).\nAnswer: 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 12, 13 = 3*b - 4*d - 3. What is the closest to b in 0.4, 1\/10, 3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 2*o + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 74140634131 and 43?\nAnswer: 74140634088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/4)\/(5\/(-4)). Let l = -98.12 - -2.12. Let m = l + 91. Sort m, g, 2 in descending order.\nAnswer: 2, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u. Let w be g(-1). Let r = 15 - 13. Which is the closest to w?  (a) r  (b) -1  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the third derivative of -14*k**5\/15 - 23*k**4\/12 + k**3\/3 - k**2 + 11. Find the second derivative of n(y) wrt y.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14939095 = -9*h + 4*h. Suppose -5*m = h - 387819. Round m to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.06 + 0.16. Let w = -0.3 + l. Sort 0.3, 3, w.\nAnswer: w, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-14)\/2)\/((8 - 7)*1). Suppose 4*l + 1 = 9. Suppose -4 = l*k - 6. Sort k, 2, n in increasing order.\nAnswer: n, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/27  (b) -1  (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**2 + 10*r - 12. Is w(8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69083887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, k: 2, c: 4}. What is prob of picking 4 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 PM and 9:10 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 9357, 0 in descending order.\nAnswer: 9357, 13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {w: 2, x: 6, f: 1, b: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 0*h = -d - 14, 13 = -2*d + 5*h. Let x be 2*(-2)\/(-4)*d. Which is greater: x or 1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 9521, 9517, 9503, 9473, 9421?\n\"Answer: -w**3 + w**2 + 9521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 + o**2 - 4*o + 310. Calculate the least common multiple of n(0) and 6.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*p - 7*p. Let z(k) = k**2 + 2*k + 2. Let m be z(-2). Suppose -5*c + m*c = 0. Solve c = s - p, s - 2*s = -4*y - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2386721 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 9*q**3 + 9*q**2 - 24*q + 43. Let k be y(6). Calculate the greatest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from {i: 2, d: 1, f: 1, u: 2, j: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1208*i*w**3 + 16*i*w**2 + i + 2*w**3 - 15*w wrt w.\nAnswer: -7248*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 + 20*a**2 - 14*a + 44. Does 25 divide r(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 8*m = -24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 15  (b) -2  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*v**3 - 3*v - 5*v**3 + 2 - v**3 as a + m*v + r*v**3 + i*v**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -13232564 (base 7) in base 14?\nAnswer: -239da4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 10. Let v = -2\/4185 - 742\/4185. Let q = 22\/45 - v. What is the third biggest value in i, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from blgbbbllgb. What is prob of picking 2 l and 1 b?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p**3\/5 + 282*p**2\/5 + 9796*p\/5 = 0. What is p?\nAnswer: -79, -62, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -743\/8 + 93. Let b = -1 - -6. Let v = 31 + -30.9. What is the biggest value in o, v, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7947, 7850, 7599, 7122, 6347, 5202, 3615, 1514?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of 4*c**5\/15 + 16*c**2. Let y(p) be the second derivative of p**3\/2 - 33*p. Give b(y(j)).\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60 divided by -2750318.\nAnswer: 30\/1375159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - -13. What is the least common multiple of 14 and -10*(t - -1) - 2?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/92 and 4\/18 + (-4611)\/9936.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 566 is divided by 258\/387*((-1326)\/(-4) - -3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*n = -7*n + 96. Sort -3, n, 4 in decreasing order.\nAnswer: 4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3 - 50220*x**2 + 502350*x - 1256000.\nAnswer: -2*(x - 5)**2*(x + 25120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5161, -5163, -5167, -5173, -5181, -5191?\nAnswer: -5203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 148.615 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 132.2 + -111. Let b = 1.8 + j. Let d = 25 - b. What is the closest to -1 in 5, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6822*f - 4933*f - 16*f**2 - 6*f**4 - 9*f**4 wrt f?\nAnswer: -180*f**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1190)\/15)\/(6\/(-9)). Suppose 0*u - 2*b - 225 = -5*u, 2*u - m = -5*b. Let h = -14 + u. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-4 - 0) - -14 - (2811 + -2707)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -10\/3. Let c = 43\/318 - -21\/106. Let v = -16.6 - -17. What is the second smallest value in -3, v, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.06 + -0.34. Let h = -0.3 - m. What is the closest to h in 2, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(17)*-1*6 + (sqrt(2057) - (sqrt(2057)*-1 + 0) - sqrt(2057)))**2.\nAnswer: 8993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at most 2695\/2053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32 and 28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -306*o - l - 288 = 13, 12*o - 25 = 17*o - 4*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -37298, -74596, -111894, -149192, -186490, -223788?\n\"Answer: -37298*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.6905 and 72?\nAnswer: 49.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -237 - -242. Solve -q*x + 35 - 15 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3279 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -44003 and 0.09.\nAnswer: -3960.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hzh when three letters picked without replacement from hzzh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*v + 41*v + 20 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 5*q + 14. Suppose 0 = q*u - 9*u + 60. Suppose -12 = -4*m, 4*m - 32 - u = -2*t. Calculate the remainder when 97 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-1 + -4 + -1 + 1 + sqrt(2736))*6.\nAnswer: -432*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(176) - -3*(sqrt(176) - sqrt(176)*-1) - ((sqrt(176) - (-2 + sqrt(176))) + 1))*-2 + (5 + (2 + sqrt(176) + sqrt(176))*3)*-3)**2.\nAnswer: 6912*sqrt(11) + 180953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 10, 12, 14, 16, 18?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -32*v. Let n(t) = 16*t - 6. What is n(l(z))?\nAnswer: -512*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6618275 + -35976105?\nAnswer: -29357830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3639*r**4 + 2863 wrt r.\nAnswer: 14556*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 11*i - 14. Suppose 22*f - 5232 = -i*f. Calculate the remainder when f is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8476, 8261, 8372, 8971, 10220, 12281, 15316?\nAnswer: 19487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4776749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u**2\/2 + 262057605*u\/2 + 131028800 = 0.\nAnswer: -52411520, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -325 + 320. Sort -3, u, 80.\nAnswer: u, -3, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 1317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -3*d**2\/5 - 138*d + 4977\/5 = 0.\nAnswer: -237, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ortttyoooryogrotoyo. What is prob of picking 3 o and 1 y?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = j - 3*j - 4*i, 0 = 5*j - 5*i. Let q = 2.03 + -0.03. Suppose 0 = -4*c + 4*k + 8, c = 2*k - 5*k - 2. What is the smallest value in c, j, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 17\/((-476)\/42)*(-20)\/6. Solve 25*x + 25 = 23*x - 5*s, -s + 22 = -d*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65.63204 nanometers in centimeters?\nAnswer: 0.000006563204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (54\/(-4))\/((-27)\/(-36)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -568 + 1457. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1026 and 1028 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 (base 16) in base 7?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -160418, -160447, -160490, -160553, -160642?\nAnswer: -160763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*((70\/195)\/7)\/(20\/(-6)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 187 and 35689222.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57268?\nAnswer: 2, 103, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 PM and 6:49 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/(-32)*4*1738 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*u)*((4*u - u + 0*u)*(-4*u + 5*u - 3*u) - 61*u - 8*u**2 + 61*u)*(-4*u + 4*u - 2*u**2).\nAnswer: 56*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -1 + (1 - -19 - 41)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l**4 + 2*l**3 + 0*l**4 - l**2 - 8*l + 0*l to i*l**4 + p*l**2 + m + c*l**3 + h*l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*d**2 + 3*d**2 - 1 + d**2 + (-2*d + d + 2*d)*(-5*d + 4*d - 11*d).\nAnswer: -15*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0.6, 2, 0.2, 0.5, -9.\nAnswer: -9, -7, 0.2, 0.5, 0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z**2 + 1696*z + 23. Calculate m(-848).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23270.3 + -23270. Which is the nearest to -3?  (a) -2\/3  (b) 1\/5  (c) f  (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-102)\/85)\/(2\/(-15)). Suppose 9*s = 90 + y. Suppose -8*k - 6 = -s*k. Is 4 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 298560 by 59712.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a gram in milligrams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*t - 2087608 = -2087666 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35814, -72175, -109086, -146547, -184558, -223119, -262230?\nAnswer: -301891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -101340, -202666, -303986, -405300, -506608, -607910?\nAnswer: -709206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*y + 14*y + 0*y**2 - 15*y + y**2 + 1179 - 2*y**2 to i + w*y**2 + n*y and give i.\nAnswer: 1179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245)*-1 + (0 + sqrt(5) + -5)**2 - (sqrt(180) - sqrt(180)*2*-2)**2) + -3.\nAnswer: -4473 - 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 385 = 3*j. What is j rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5\/((-100)\/(-35)) - (-2)\/8. Let i be (10 - 5)\/((-17)\/o). Let x = -36\/119 - i. Sort x, 4, 0.06 in descending order.\nAnswer: 4, x, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*d + 9*d + 1950. Put 0.1, d, 5 in decreasing order.\nAnswer: 5, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 38 + 28. Suppose 5*b + u = -0*w + w, 3*w - 144 = -3*b. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 5 = 7. Let o be ((-28)\/(-3) - -5) + 1\/(-3). Suppose 0 = -6*s + o - 2. Solve s*i = z*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001592547537 rounded to seven dps?\nAnswer: -0.0015925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xkx when three letters picked without replacement from {p: 4, f: 4, k: 2, x: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 23299421 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14.3 * 0.108.\nAnswer: 1.5444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93 (base 12) to base 2.\nAnswer: 1101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -263576 (base 9) to base 4.\nAnswer: -213011331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, u: 1, s: 1, m: 1, z: 1, t: 2}. What is prob of picking 1 m and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 14*g - 74. Give c(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-32)\/(-12) + -3 + 7\/3. What is the least common multiple of (16 - (-1 + -1))\/(1*n) and 2\/6 + 29\/3?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*472\/12*(-1780)\/3560?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:31 PM and 3:22 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1*(-18)\/21*-7. Let w(l) = 3*l + 22. Let t be w(a). Let y be 3\/t - ((-75)\/(-20) - 5). Solve -y*c + 12 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(-14) - 21\/(-49). Solve -i = 2*d + 1, 4*i = -a*d + d + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -102524265*k**2 + 193955294*k.\nAnswer: -205048530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 - 3*c**2 + 4*c - 2. Suppose 2*j - 16 = -6*j. What is p(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.01 + -2.99. Let k = -181\/44 + 48\/11. Which is the closest to k?  (a) -4  (b) l  (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, m: 12}. Give prob of sequence mzzm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -736526 (base 11) to base 7.\nAnswer: -13012640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -32?  (a) -5  (b) -20  (c) 3  (d) -29\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**2 + 1801496*m - 27023340.\nAnswer: 4*(m - 15)*(m + 450389)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from upuupuuuupuuuuppuuu. Give prob of picking 2 p and 2 u.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136) + (sqrt(136) - ((sqrt(136)*-1 - sqrt(136)) + sqrt(136))) - (sqrt(34) + 3*sqrt(850)))\/((-1*sqrt(864))\/sqrt(3)*-5).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 160610 by 519.\nAnswer: 160610\/519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + 14. Let o = 23 - s. Let k = -13 - -12. Put k, 0.3, o in decreasing order.\nAnswer: o, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00031868 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*i + i + 14*i - 3*i**2 - 13*i + 14*i**2.\nAnswer: 11*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -a**3 - 1132 - 362*a**2 + 2*a - 294*a**2 - 1149 + 2270 in the form c*a**2 + s*a + x*a**3 + w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -7*y - y**2 + 7 + 3*y**2 - y**2. Let k(q) = 4*q**2 - 20*q + 20. Let l(b) = 4*k(b) - 14*t(b). Is l(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p\/((p*p**(-3\/5))\/p*p)*p*p)*p*p**(-9))**(-2\/73)*(((p*p**9\/p)\/p)\/(p\/(p*p**6)))**(6\/11) assuming p is positive.\nAnswer: p**(31826\/4015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 AM and 6:58 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 30713 (base 8) in base 4?\nAnswer: 3013023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*t**4 - t**4 - 4*t**4 + (-5*t**3 + 4*t**3 + 3*t**3)*(113*t + 60*t + 131*t).\nAnswer: 606*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -8*g + 5. Let p be f(-6). Let a be 2\/6 + (-2)\/6. Suppose -k = -a*k - p. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -112 * -15.\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 98 - 96. Which is the third biggest value?  (a) p  (b) 0.4  (c) 5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 99 - 104. Let f(l) = l + 0 + 0*l**2 - 1 + l**2. Let j(k) = -7*k**2 - 2*k + 4. What is m*f(i) - j(i)?\nAnswer: 2*i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -38.9 + 41. Let q = 79\/9 + -9. Sort -1, w, q.\nAnswer: -1, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/10 - ((-11)\/5 - -2). Let t be (18\/(-3))\/(-1)*j\/3. Let b(r) = r**2 + 12*r - 1. Let q(a) = a. Determine t*b(l) - 22*q(l).\nAnswer: 2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.06 - 0.06. Let h = 0.216 - 0.016. What is the second biggest value in h, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 203 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 3*n - 3. Let y be (-10)\/(-4)*6\/5. Does 6 divide r(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-800)\/(-4200))\/(1\/(14\/24))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -562724316 divided by 42489.\nAnswer: -13244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j**2\/4 + 43*j - 2635\/4 = 0.\nAnswer: 17, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 4*j + 32 = 0. Let u = -15 + j. Let z(x) = 4 + 3*x**2 - 5 + u. Let a(c) = c. Calculate a(z(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -40 - -44. Solve 0 = -u*x + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 1 - 2)*(43*l - 2*l + 2*l**3 - l) to the form x*l**2 + s*l + u + m*l**3 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-6) - (-2)\/6. Let o = 0.015 + -0.215. Put 0.1, d, o in descending order.\nAnswer: 0.1, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6297876*v**6*z**2 - 22*v**2*z**2 + 12*v**2*z + 78*v*z**2 - 2 wrt v?\nAnswer: 755745120*v**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 - (6\/(-4) + 1). Let a be ((-10)\/3)\/(10\/(-15)). Suppose 4*n = -2*p + p - 1, -5 = a*p + n. Sort 0.1, j, p in decreasing order.\nAnswer: 0.1, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(240) - (sqrt(240) - (sqrt(240) + sqrt(240) + 2*sqrt(240)*2 + sqrt(240)))) + sqrt(240))\/(1*-2*sqrt(6)))\/(1*sqrt(8)*2 - 1*sqrt(128)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Round 33667.726 to the nearest 10.\nAnswer: 33670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -53205 - 2?\nAnswer: -53211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - -64 - 46 - 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11676\/(-278) + (44 - -10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -187*s - 1303 = 3*s + 407 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.011 + -0.0045. Round g to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 - 1.296107.\nAnswer: -0.996107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 779.383 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 291910?\nAnswer: 2, 5, 29191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.33+0.36\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 - 28)*1\/(-2). Let x = -289 + 301. Which is smaller: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4568.98 + -0.3.\nAnswer: -4569.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 - 6*j**2 + 6. Calculate c(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) 3  (b) -3  (c) 1  (d) 2636  (e) 2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) + sqrt(77)\/(-1*sqrt(11) + sqrt(11) + sqrt(11)) - sqrt(896)\/sqrt(8) - -6*(sqrt(175) - (1 + sqrt(175)*1 + sqrt(175))))*4)**2.\nAnswer: 6144*sqrt(7) + 115264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*y + 80080 = 3*y. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21270 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 61*i - 26*i + 35 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -123, -112, -81, -24, 65, 192, 363, 584?\n\"Answer: z**3 + 4*z**2 - 8*z - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1111 - 32121230?\nAnswer: -32120116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5\/4  (b) 1  (c) 0.0273  (d) 2\/9  (e) -3  (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 * 26.1.\nAnswer: 156.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dtobbfvffbvbboo. What is prob of sequence btd?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1196\/(-65) + 18 + 2\/5. Solve -4*h + 3 = -o - 20, r = -2*h - 5*o - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -3068*n**2 - 3*n. Let d(s) = -9*s. What is q(d(z))?\nAnswer: -248508*z**2 + 27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (11*s + s**2 + 5 - 6*s - 8*s)*(-7758 - 1760*s + 7758) as j + f*s + w*s**2 + v*s**3 and give v.\nAnswer: -1760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6389 - -12791\/2. Which is the nearest to 1?  (a) -1  (b) l  (c) 2\/3  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 3\/77276  (b) 26  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of p**9\/15120 + p**8\/6720 - p**4\/12 - 3*p. Let h(w) be the third derivative of n(w). Factor h(t).\nAnswer: t**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of 3*v**5\/5 + 23*v**4\/4 - 65*v + 21. Differentiate w(d) wrt d.\nAnswer: 12*d**3 + 69*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -12*g**2 - 4 - 5*g**2 - 4*g + 16*g**2 - 6*g. Give u(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -w**5 + 144*w**4 - 6912*w**3 + 110592*w**2 = 0.\nAnswer: 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1111344424 (base 5) to base 14.\nAnswer: -47abd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 3 b when four letters picked without replacement from {b: 5, j: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {j: 13, c: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141175.\nAnswer: 5, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*s - 4 = 30*s. Let n be s - (3\/21 + 15\/(-7)). Let m(q) = -q - 4. Let g be m(-5). What is the second biggest value in 0.2, g, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 e, and 1 p when three letters picked without replacement from epppugyugyuu.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 - 139 = -57*u. Sort 3, u, 12, -10.\nAnswer: -10, u, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 0 + 3 + 3*w - 15*w + 5*w + 31*w. What is n(-4)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000013468439 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m**2 + 191542408*m + 2293030878902404 = 0. What is m?\nAnswer: -23942801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/(-16) + 78\/4. Let s = z + 16. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3116 + -3577. Which is greater: -4 or u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -100000011011000100110001?\nAnswer: 100000011011000100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -25*q**2 - 2*q. Let c(d) = 43*d. Determine w(c(j)).\nAnswer: -46225*j**2 - 86*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2436*z + 7176 - 506 = -72424 - 1294 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 663 = 457. What is the derivative of x + 2*n - 62*n**2 - 190 - 2*n wrt n?\nAnswer: -124*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.78 - -0.02. Let w = i - 0.5. Let a = -146.2 + 146. Which is greater: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 1911 = -3*g, g - 4*m = -g + 1250. List the prime factors of g.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 847 = -5*k + 9*l, -4*k - 4*l = -652. What is the remainder when 496 is divided by k?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of 0*u**3 + 0*u**4 - 46 + 38*u + 0*u**2 - 73\/5*u**5. What is the first derivative of w(s) wrt s?\nAnswer: -292*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + 9. Suppose 5*g = 4*q + 8 + p, 5*q + g + 32 = 0. Let t = 12 + q. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157203 is divided by 133.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2120109*g**4 - 76*g**2 - 766*g - 2?\nAnswer: 50882616*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 18 = -6*m. Suppose -m*x + 7*w = 2*w + 10, 4*w - 18 = -x. Differentiate -12 + x*h**4 - h**4 + 36 with respect to h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**2\/2 - 1254*x + 262086.\nAnswer: 3*(x - 418)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2b (base 12) to base 6.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000179356 to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -6 + ((-8436)\/(-44))\/(-1). Let i = z - -198. Put -1\/2, i, -2 in decreasing order.\nAnswer: i, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 6*g**2 + 9*g - 10. Let m be z(7). Suppose -3*d + 4 = -4*b, 0*b + 2*d - m = 2*b. Suppose 30 = 4*p - b. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 7 = 3*i, 0 = g - 0*g + 2*i - 9. Suppose -66 = -3*u - 2*a, -14 - g = 5*a. Calculate the greatest common divisor of u and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0259?  (a) -1  (b) 3.48  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -13*j - 130. Let b(h) = -18*h - 186. Let y(n) = 5*b(n) - 7*x(n). Give y(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -242093, -482382, -722681, -962996, -1203333, -1443698, -1684097?\n\"Answer: -w**3 + w**2 - 240285*w - 1808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 28393 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 174587996 divided by -43646999.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (17 - 32)*(-1)\/5. Solve 5*t = -u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, -11, 0.07 in decreasing order.\nAnswer: 1, 0.07, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d - 6 = -3*d, 4*g - 4*d + 16 = 0. Let y be 3\/(-4)*g\/9. Which is the nearest to y?  (a) -0.2  (b) 1\/3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*d - 2 + d**2 - 2*d**3 - 2*d**2 + d**2 to the form k*d**3 + s*d + i*d**2 + q and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-6)*a**(2\/33)*(a**(-3\/2))**(11\/9))**(5\/7) assuming a is positive.\nAnswer: a**(-745\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 812 and 11020?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (93\/(-124))\/(3\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 832578994?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 5:30 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1925 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 71694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1692\/207)\/4 + -2)*2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12, 230, 596, 1110, 1772, 2582, 3540?\nAnswer: 4646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -2. Let v be m\/(-30) + (-2002)\/(-165). Suppose -5*q = 2*k - 15 - v, 3*k + 3*q - 54 = 0. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = 5*l - 2*u, 3*l + 195 - 178 = u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 84238 and 3262?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 242\/66*(-12)\/(-22)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y. Let r(p) = 1608*p. What is l(r(z))?\nAnswer: -1608*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -533 - -547. Which is greater: g or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -21, -183, -345, -507?\n\"Answer: -162*i + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 64\/297 and -49\/1140.\nAnswer: 112860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cq when two letters picked without replacement from byyyblcbqyy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19651, -39294, -58937, -78580, -98223, -117866?\nAnswer: -137509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - b - 2*s - 12 = 0, -2*b - 5*s - 15 = 0. Is (-477)\/(-12) - b\/20 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**3 - 50*f**2 + 135*f - 90.\nAnswer: 5*(f - 6)*(f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 12853129 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 2 = -k. Suppose -s = k*s - 30. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -430133031 - 0?\nAnswer: -430133031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 199 divided by -480306?\nAnswer: -199\/480306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/11*319\/(-116). What is the nearest to -0.17 in y, 4, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 924144 is divided by 231033?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34 and 27217?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2 + 6*k + 7 - 8 + 3 + k**3. Let g be r(0). Find p, given that 0 - 8\/5*p - 36\/5*p**g + 0*p**4 + 16\/5*p**5 - 44\/5*p**3 = 0.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -c + c**3 + c + 5 - 2*c - 3*c**4 + c in the form h*c**4 + m*c**2 + v + q*c + u*c**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3113224400 (base 5) to base 7.\nAnswer: 105153423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of j**6\/120 + j**5\/12 - j**4\/12 - 7*j**3\/6 + 17*j**2. Suppose -3*m + 5*n = 0, 0*m + 2*n = -m - 11. Give z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -7793000 to the nearest one hundred thousand.\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*d - 13*d + 13*d + 51 + 3*d + 4*d.\nAnswer: 14*d + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -6*((-729638)\/117)\/((-21)\/9 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 400621.3 millilitres in litres?\nAnswer: 400.6213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 57753 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 18\/8*(-2152)\/807\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = -2339*p + 2345*p + 26 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 35513 and 3978?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1\/752?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3885)\/(-370)*(-32)\/(-70).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*b + 27. Let a = 110 - b. What is the remainder when a is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -28*f + 22. Determine m(4).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 31803990 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3922.\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**4 + 7*u**4 - 2*u**4 + 2*u**4 + 2*u**4 - 6*u**4 + (-1 - 2*u**3 + 1)*(2*u + 1 - 1).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((((-24)\/120)\/(2\/10))\/(-5))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 877903299 to the power of 1\/3, to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 + -11. Suppose c + i*s - 5 = 2*c, -2*s = 4*c - 16. Let x(r) be the first derivative of r**4\/4 - r**3 - 3*r**2\/2 + 3*r - 7. What is x(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - t + 20 = 0. Suppose 0 = -t*x + 75 + 20. Calculate the greatest common divisor of x and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 56000015 = 2*b - 2*r, -3*b + 5*r + 83999975 = 0. Suppose m + b = -m. What is m rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -50.71 - 1.29. Let g = -4517039.34100074 + 4517091.341. Let z = g + f. What is z rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 2:27 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes before 6:03 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1409)\/(-8) + (-9)\/72. Let o = m - 116. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 + 7*x + 18. Let n be u(-2). Solve 2 = -h - n*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3394.\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -1040215?\nAnswer: 1040222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-42)\/(-8) + (-3)\/12. Suppose 3 = y, h - 2*y - 15 = 3*y. Suppose 0 = -2*a + 4*g + h, u*a = -0*g + 3*g + 82. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328\/(-24928)*-2*2?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -2*r - 1. Let x be n(-2). Suppose -x*g + 0*g = -9. Calculate the remainder when 12 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q**3 - 108*q**2 - 1404*q + 86. Calculate v(-32).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10.728 - 0.728. What is the nearest to -1 in 1, 5, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes after 7:30 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -98, -2, -0.5, -0.4 in increasing order.\nAnswer: -98, -2, -0.5, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b**(-1\/3)\/b))**43 assuming b is positive.\nAnswer: b**(301\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -73 + 75. Let s be (-6)\/(-4)*h\/3. What is the remainder when 10 + -10 + s + 132 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n - 6. Let r be (5 - (-187)\/(-33))*-3. Calculate c(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 175 = 3*d, -5*d = -2*d + 4*k - 157. Let n = d - 26. Let o = 6487 - 6374. Calculate the remainder when o is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of -5*o**5\/12 + 7*o**4\/24 + 2*o**3 + o**2. Let x be a(-6). Round x to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13536*l**2 + 4*l**3 - 13536*l**2 + l + 2781.\nAnswer: 4*l**3 + l + 2781","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -t**5 + 159*t**4 + 1677*t**3 + 2257*t**2 - 10176*t + 6084 = 0. Calculate t.\nAnswer: -6, 1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -5*37.581\nAnswer: -187.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -93.\nAnswer: -5\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 0 + 6 = 0. Suppose 4*v + 2*r + 2*r = 44, 3*v - b*r = 9. Suppose -10 = 2*k, -3*q - 10 = -8*q - k. What is the least common multiple of v and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229906 is divided by 38264.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -6*p + 3*p - 57 - 16 - 4*p. Let s be b(-12). Differentiate -4 + s - 26 - 28*u**4 - 16 with respect to u.\nAnswer: -112*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56\/3*321\/4?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 8 = y. Let b be y - -2 - (-8)\/(-4). Suppose -4*n + 118 = -2*f, 39 = b*n + 2*f + f. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13468?\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.630407 grams to kilograms.\nAnswer: 0.000630407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (-1 - (-2 + 3))) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g**4 + 2*g**3 + 5*g**2 + 2. Let c(s) = -s**3 + s**2 - 1. Let k(j) = 6*c(j) + 3*d(j). Find the third derivative of k(p) wrt p.\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -12 - 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2.99, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22267582?\nAnswer: 2, 19, 585989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 4*p**2 - 67*p - 28. List the prime factors of h(-16).\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 2. Suppose 0 = -0*t + 2*t - 8. Suppose t*w - 3 = 3*w. Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = 4*b - 4, 4*b = -3*d + 78 - 50 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 6020 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.053 + 0.453. Suppose 11 = 3*k + 8. What is the second biggest value in 10, x, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1507 is divided by 81?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9946 and 89654.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 2*t + 4*n - 0*n, -25 = -3*t + n. Suppose 38*v - 41 + 3 = 0. Calculate the highest common divisor of v and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-105)*4\/((-104)\/(-91))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 24806 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 52 minutes after 9:50 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**5\/13 - 62*k**4\/13 + 174*k**3\/13 - 170*k**2\/13 + 56*k\/13.\nAnswer: 2*k*(k - 28)*(k - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, a: 5, x: 10}. What is prob of picking 3 r?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -151*r*u**3 + 7*r*u**2 - 418130*r*u - 13785*u**3 wrt u.\nAnswer: -906*r - 82710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -827 + 895. Let t be b\/(-374) + (0 - 57\/(-11)). Let w(f) = 5*f - 33. Calculate w(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-4)\/((-23936)\/740) - (-372)\/682 and -115\/102?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -3986*g + 221. Is h(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 AM and 5:27 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 116 and 988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**29\/(j*(j*j*j**(-3\/13))\/j) assuming j is positive.\nAnswer: j**(354\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 5 + 0)*((2 - 2*z**2 - 2)*(0 - z + 0) - 2*z**3 + 3*z**3 + 0*z**3 - 45*z**3 - 19*z**2 + 21*z**3 + 26*z**3).\nAnswer: 35*z**3 - 133*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -2*g**2\/3 + 704*g\/3 - 61952\/3 = 0.\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 4*r = -98, 0 = -4*x - 2*r - 7607 + 7533 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 18470 + 13?\nAnswer: 18483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2055\/108 - 16\/(-72) and 89\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 0 = -2. Let h(x) = -a*x + 3 - 6 + 5*x. What is the units digit of h(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*c*s - 35*c - s - 39 with respect to c.\nAnswer: 2*s - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, p: 1, o: 1, r: 2, i: 1, u: 1}. What is prob of picking 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -5. Let r(i) = -9. Let h(p) = -2*a(p) + r(p). Let u(c) = -c. Calculate -h(z) + u(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.24 - -0.240044. Round p to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 17*t**3 - t - 1. What is h(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72833 and 346.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {h: 5, l: 2, n: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 88\/14 + (-8)\/28. Suppose 4*p + 4 = w*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -1, -21, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6827848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -36493.9 take away 2.007424?\nAnswer: -36495.907424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -177, -17, -16.\nAnswer: -177, -17, -16, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1536*1.\nAnswer: 0.1536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-5\/2)*y*y*y**7)\/(y*y**(-2\/5))**(-49) assuming y is positive.\nAnswer: y**(419\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1778868 = -1092*w + 1014*w. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -129*m**2. Let r(a) be the third derivative of -a**4\/12 + 8*a**2. What is r(s(g))?\nAnswer: 258*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000010791617 rounded to 7 dps?\nAnswer: 0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 - 3*y**2 + 2*y - 1. Suppose -b + 3*b + 58 = 0. Let u = 18 + b. Let r = u - -13. Determine v(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = -4*g + 12, 12 = -387*c + 383*c + 2*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + 7*q - q)*(18 + 12*q - 15 + 5*q)*(-5 + 1 - 1)*(-q + 2 - 2).\nAnswer: 425*q**3 + 75*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.8 - 0.5. Let x = 259 + -259.122. Let c = x - -1.222. What is the nearest to -1 in c, g, 3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141079501.\nAnswer: 141079501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 5*x - 31. Let b be f(3). Let o be (4 + b + 3)*4\/(-18). Suppose -2*g + 0*g - 4 = n, -4*g - 12 = 0. Solve -5 = 3*t - o*d - 3, 3*d = -n*t - 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -674*u**2 - 159597*u + 159597*u as y*u**2 + c*u + t and give y.\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -284476 - -284363.00098. Let l = 113 + c. Round l to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -53.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*j - 106 = 64 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*z + 62 - 10 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159 = 3*b + 3*k, 4*b - 2*b - 109 = -5*k. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 9 = -5*w, -2*w + 4*w = a + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2957580.\nAnswer: 2, 3, 5, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (33\/3 + -2)*8 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 3*k**2 - 588*k + 1164 = 0.\nAnswer: 2, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 + 0)*(-h + 3*h - 3*h)*(2 + 1 - 6 + 1 + 1 + 0 + (-1 - 1 + 0)*(-1 - 2 + 2) + 3 + 0 - 5).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*f**2\/9 + 134*f\/3 - 3060 = 0. What is f?\nAnswer: -255, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - 1) + -38 + 53.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-1*(-318)\/4). Is -0.1 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4059664 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -167, -321, -481, -647, -819, -997, -1181?\n\"Answer: -3*p**2 - 145*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 - 5*y**2 + 9*y + 3. Let m be 128\/(-22) - (-12)\/(-66). Let b be p(m). Let j = b + 27. Calculate the greatest common factor of j and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124907 greater than 124816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1905*t + 1905*t - 49*t**2 - 96*t**2.\nAnswer: -145*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(19) - (-2*sqrt(19) - sqrt(19))) + 5 + sqrt(19) - sqrt(19))*-3)**2.\nAnswer: 360*sqrt(19) + 2961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1))**(-33)\/(n**(-2))**(1\/5))\/((n**(-6\/11)\/n)\/n**(-1\/11)*n\/n**2*n*(n*n**(-8))\/n*n) assuming n is positive.\nAnswer: n**(2302\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 920 a factor of 822692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1529648?\nAnswer: 2, 95603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, -10, -23, -38?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11 + 33*z - 66*z + 12*z)*(4*z - z - 2*z) as m + d*z + k*z**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 12106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17004403 = 134*q + 17004939 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -33*k**2. Let b(x) = -749*x. Calculate b(n(w)).\nAnswer: 24717*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 13, 23.5, -4, 108, 2 in descending order.\nAnswer: 108, 23.5, 13, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n**2\/5 - 154*n\/5 - 453\/5 = 0 for n.\nAnswer: -151, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 2*o**3 - 578*o**2 + 47190*o - 1168614 = 0.\nAnswer: 51, 67, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 + 6*f**2 - 8*f - 9. Let k be c(-7). Let g(q) = q**3 + 3*q**2 + q + 2. Calculate the lowest common multiple of 21 - (1 + 2 + 0) and g(k).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2052836229 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*c**5 + 9182*c**4 + 8*c**3*h + c**2*h + 23*c**2 - 3*c - 3*h + 82 wrt c?\nAnswer: 300*c**2 + 220368*c + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 155476826 by -25801.\nAnswer: -6026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of -p**6\/120 - p**5\/10 + p**4\/24 - p**3\/6 + 16*p**2. What is h(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 26 + 0. Let v = -15 + a. Let i = 7 - -14. Calculate the remainder when i is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 126*y - 116 = 122*y. Calculate the remainder when 107 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -11. Suppose 5*l + 11 = 36. What is the remainder when l is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/11107, 5, -1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-6\/7)*n*n**(-2\/17))**(7\/9)\/((n**(-1\/2)\/(n**3*n))\/((n*n**(-2\/19)*n)\/((n\/(n\/((n**(-3)*n)\/n))*n)\/n))) assuming n is positive.\nAnswer: n**(18245\/1938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18 - 18 + 9*f + (-3 + 3 + 2*f)*(0 + 2 - 1) + 0 + 0 + 2*f + 2*f - 6*f + 2*f)*(-2*f + 3 - 3).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -48 + -7477?\nAnswer: -7536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of 3*d**5\/40 + d**4\/2 + d**3\/4 - 9*d**2\/2 + 8*d + 1. Factor y(s).\nAnswer: 3*(s - 1)*(s + 2)*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 123*j**3*t + 873080*j**3 - 1153*j**2*t**4 wrt t?\nAnswer: 123*j**3 - 4612*j**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8884 = -8*l + 12772. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*j - 2497 = 84*j + 669 + 1348 for j.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4422277.\nAnswer: 37, 47, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 5\/4, 66, -10\/229, 19?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11000011110101010110 + -100111111?\nAnswer: -11000011111010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/299  (b) -2  (c) -2\/5  (d) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.2 - 3.7. Let g = a - -5. What is the second smallest value in -2\/13, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6.1 * -357864\nAnswer: -2182970.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 31. Suppose -j + o = 2*j - 16, o = -5*j + w. Suppose 7*x - j*x = 8. Let l(f) = f**2 - 3*f + 2. Determine l(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*d + 94 + 10 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/(m*m*m**(14\/3)*m))\/m)\/m)\/m**6 assuming m is positive.\nAnswer: m**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -11  (b) -4  (c) 5\/4  (d) 162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9979.81km in centimeters?\nAnswer: 997981000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 25*m + 1. Let c be w(8). Let y(q) = q**2 - 6*q - 3. Let k be y(7). Suppose c = k*p - 7. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 AM and 3:00 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 60*t**2 - 4069504*t + 271300.\nAnswer: 4*(t - 67825)*(15*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 20 = 7*d - 9*d, -2*f = 8*d + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9\/2?  (a) 4\/5  (b) -4  (c) -177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/7  (b) -5  (c) 5041\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 361779*m*w + 9*w - 16435 wrt m?\nAnswer: 361779*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1820 is divided by 137?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.19892 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*k + 28*k = 0. Solve -2*s + k = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15111 and 5037.\nAnswer: 15111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 PM and 3:51 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/10 + 228\/20 - 6. Solve -a + 0*a = d + b, -4*a - 12 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 107669992.\nAnswer: 2, 23, 585163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -158 or -11322?\nAnswer: -11322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-12)\/(3 - (-4275345)\/(-1425117)). Let y = m + 14315679. Let c = y + -17165445. Round c to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/(-140))\/(-5*(-9)\/(-210)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 14*x**3 + 2*x**2 - 3*x + 1. What is k(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -6067*f - 5. Determine s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2. Let p(t) be the third derivative of -t**4 - 11*t**2. What is z(p(q))?\nAnswer: -576*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17258 or -64961?\nAnswer: -64961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.915282 litres in millilitres?\nAnswer: 7915.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 743.6165t to kilograms.\nAnswer: 743616.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 4, -2, 51.\nAnswer: -5, -2, -1, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6832 - 6393.3. Let z = 412.6845 - k. Let y = -26 - z. Round y to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - p - 7363 + 687, -5*f + 16690 = 2*p. What are the prime factors of f?\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*1*(-4*-1*(sqrt(192) + 0 + sqrt(192)) + -2 + (sqrt(192) + 1)**2 + -3).\nAnswer: -564 - 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2286 = 32*g - 11406. Calculate the greatest common divisor of g and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the third derivative of 0 + 0*t - 171*t**2 + 0*t**3 - 17\/8*t**4. Let d(q) = q. Calculate f(d(u)).\nAnswer: -51*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 93*x**3 + 10571*x + 2921878?\nAnswer: 279*x**2 + 10571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8837 - -8874. Calculate the remainder when 318 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, -19, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (0 - -2) + -1 - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 24126977*16\nAnswer: 386031632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the first derivative of l**3\/3 - 7*l**2\/2 - 4*l + 139. What is m(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 665392 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14136 is divided by 1178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32251 (base 8) to base 16.\nAnswer: 34a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange v**3 - 466*v**2 + 9809 - v + 103*v**2 - 9807 to the form p*v**3 + f*v + q + n*v**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5126, 5128, 5130, 5132?\nAnswer: 5134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -96 divided by 24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1888567 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + 0 + 0)*(5 + 2*k - 5 + (k - 5*k + 5*k)*(2 + 3 - 3) + k + 1 - 1 - 2 + 2 - 3*k - 5*k - 7 + 7).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 18 = -o + 4*v, 23 = 3*o + 4*v. Let b be (-4 + 5)*-1 + 3. Let i(m) = 9*m**3 + m + m + 4*m**b + o - 2 - 7*m**3. Give i(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -495.3*-4\nAnswer: 1981.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/16 and 101\/16 - (-12)\/(-48)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 230*((-22659)\/(-830))\/91.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 56948.82 centimeters?\nAnswer: 569488200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1101000110110 (base 2) to base 5\nAnswer: -203320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -26, 4, -2 in decreasing order.\nAnswer: 4, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 418 + -227. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 355?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 80, 179, 334, 575, 932, 1435, 2114, 2999?\nAnswer: 4120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + 1482*i**2 + 28 - 1483*i**2 - i)*(i + 2*i - 4*i + (-1 + 5 - 2)*(i + 0*i - 2*i) - 3*i + 6*i - 4*i + 0 - i + 0 + 8 - 8 + 2*i).\nAnswer: 3*i**3 + 3*i**2 - 84*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:23 PM and 11:14 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 4*y + 12. Suppose 5*z + y*q - 6 = 11, -2*z = 2*q - 6. Solve -5*w - 4*r = 19, 2*r + 2 = z*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3\/4, -1\/16, -3, -1, -36?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnww when four letters picked without replacement from {n: 7, w: 3, q: 3}.\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 PM and 10:01 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 4*q**2 - 235*q - 357. Calculate the least common multiple of 168 and s(61).\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 375518409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 107 + -806324?\nAnswer: -806216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 5 - 2*i - 17*i**3 - 7 - 3*i**2 + 15*i**3. Give n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - 0. Let f = 1080 - 5401\/5. Which is the closest to s?  (a) f  (b) -2  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1863400 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add 886.9 and 4605.\nAnswer: 5491.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 671819050 a multiple of 6029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (1061 - 55*w - 1061)*(-1 - 2 + 2)*(w + 2288 - 2*w - 6*w**2 - 2289) as f*w + r + t*w**3 + o*w**2 and give t.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -48 - 8*p**4 + 140 + p**2 + 7*p - 2*p**3 + 11*p - 96 in the form g*p**4 + n*p + s + j*p**3 + c*p**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 46177*w - 113687777. Give z(2462).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -165 - -183. Suppose -14*v + 10 = -r. Suppose -3\/5*z**4 - 6\/5 - 3\/5*z**3 + 3\/5*z + 9\/5*z**v = 0. Calculate z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -3*k + 5*k - 3, -5*k - g = -6. Let h = 60 + -60.3. Let z = 241\/7 - 34. What is the closest to k in -0.4, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*d + 21*d - 16 = 0. Let w = -23 - -37. What is the smallest common multiple of w and -3 + 2 + 11 + -10 - d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91378762 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -209947500 rounded to the nearest one hundred thousand?\nAnswer: -209900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4275 - -81226\/19. Which is the smallest value?  (a) -1\/3  (b) j  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = -165*w - 489 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12928297?\nAnswer: 12928297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 - j. Let t(k) = 3*k**3 + 2*k - 2. Suppose 7 + 3 = 5*l. Let a(g) = l*z(g) + t(g). Differentiate a(h) wrt h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of ((-12)\/42 - 5\/105) + (-10047)\/(-9) and 124.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of -c**4\/24 + 2*c**3\/3 + 26*c**2 - 94*c. Let m(i) be the first derivative of l(i). Let x(q) = q - 3. What is -4*m(h) - 5*x(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17\/177 or -1?\nAnswer: -17\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000573 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(468))**2 + -5 + -2 + sqrt(468) + (-2*sqrt(468))**2 + sqrt(468) + sqrt(468).\nAnswer: 30*sqrt(13) + 2334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 58, 82, 106?\n\"Answer: 24*q + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -2*j + 4*j. Let x(r) = -3*r**2 + j*r**2 - 5*r**2. Let g(n) = 3*n**2. Give g(x(t)).\nAnswer: 75*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 1520 = 5*n, -4*n - k - 1505 = -9*n. What is the remainder when n is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of -5*o**3\/6 + o**2 + 5*o + 20. Calculate l(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**4\/7 - 424*d**3\/7 - 15272*d**2\/7 = 0. Calculate d.\nAnswer: -166, -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 AM and 5:26 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 18*i**2. Let a(n) = 45*n**2 - 1. Determine a(c(b)).\nAnswer: 14580*b**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -5*r**5\/3 - 1185*r**4 - 17680*r**3\/3 - 7060*r**2 = 0.\nAnswer: -706, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 8 + 4 = 0. Calculate the remainder when (-2)\/2 - 10\/(-2) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -93 - -111. Suppose -v + 15 = -6*v. Let f(n) = -n**3 + 2*n**2 + 4*n. Calculate the remainder when f(v) is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 4:10 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*l + 0*l = -5632. Suppose 0 = -2*p - i + 382, 2*i - l = 5*p - 1113. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 16*y + 18. Let n be p(2). Suppose 0 = -s + 3*s, -3*u - s + 18 = 0. Let v be (-11)\/((-297)\/u) - n\/(-18). Solve 2*w + v*w - 20 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/20)\/(6\/((-108)\/3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 402572.8 decades?\nAnswer: 4025728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 858*l**2. Let y(j) = -19170*j - 19183*j + 38361*j. Determine k(y(z)).\nAnswer: 54912*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40479 and 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 12 = -3. Let u be (21\/2)\/3*-2. Let r = q + u. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 190 - 581\/3. Let d(s) = -s**2 - 13*s - 34. Let r(m) = 4*m**2 + 52*m + 136. Let c(i) = 9*d(i) + 2*r(i). Let b be c(-10). Which is smaller: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1089128\/7 + 155590. Let i = 3.02 - 0.02. What is the closest to -1 in i, 2\/51, v?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddxd when four letters picked without replacement from xdxxxxxxxxxddddxdxx.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 115107899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1\/5 + -7\/10. Let n = 6 + -4. Let t be (-15)\/(-18) + n\/(-6). What is the closest to j in t, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -6, -16.\nAnswer: -16, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h + 3*h - 11*h + 0*h + 7*h - 2429.\nAnswer: -h - 2429","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are 50 and 2258 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -4756, -7498, -10238, -12976?\n\"Answer: s**2 - 2745*s - 2012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 - 19*h + 16. Let z be u(-16). Let s = -51 + z. What is the remainder when 76 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 181462 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 158599524.\nAnswer: 2, 3, 191, 69197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.3, -5.74, 2\/3, 0.6 in increasing order.\nAnswer: -5.74, 0.3, 0.6, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -11*x**2. Let p(n) = 10 - 10 + 143*n**2 - 152*n**2. Calculate q(p(j)).\nAnswer: -891*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1*3\/(-3) + 11. Let d(y) = y + 2 - 4*y - 4 - n. What is the tens digit of d(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(112) - -5*(sqrt(112) - (sqrt(112) + 1 + sqrt(112)))) + -5)*3 + 4*((-3*(-1 + sqrt(112)) - sqrt(112) - sqrt(112)) + sqrt(112)) + -5)**2*1.\nAnswer: 5152*sqrt(7) + 88337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 4:48 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.7 + 2.7. Let k be (-123)\/(-41) + (-20)\/6. What is the nearest to k in -3, f, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -70 - -69. Which is the third biggest value?  (a) -0.3  (b) 2.4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 5*j**2 - j - 1. Let d be m(-1). Let n = d + -5. Which is greater: 1\/4 or n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 0 + (sqrt(605) + sqrt(605)*-2 - sqrt(605))**2*-2.\nAnswer: -4843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -352 - -357. What is the third smallest value in 2, 2.8, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 176045 divided by -17\nAnswer: -176045\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 12407662.238 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 28094480737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-345)\/(-6))\/5*2. Let p = o - -13. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -448259\/20 + 22414. Let f(i) be the second derivative of -k*i**5 + 0*i**4 - 41\/6*i**3 + 0 + 0*i**2 + 21*i. What is the second derivative of f(p) wrt p?\nAnswer: -126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 398965 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1084685\/293 - 3702. Let l = m + -5563\/1172. Let u = -198353\/8322 + 2\/1387. Calculate the common denominator of l and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -56 - 11994b?\nAnswer: -1199a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 + 17*u**2 - 3*u - 24. Determine f(-17).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the third derivative of -5*p**8\/336 - 3*p**7\/14 - 31*p**6\/24 - 17*p**5\/4 - 25*p**4\/3 - 10*p**3 - 12*p**2. Find c such that s(c) = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + 8. Suppose -f = 5, -4*f = -4*s + 4 - 0. Let k be 4\/s*-2 + 5. Calculate the highest common divisor of k and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 32931, 2, -1, 1 in decreasing order.\nAnswer: 32931, 5, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1222 or -1224?\nAnswer: -1224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37 + 41. Let i = y - 1. Sort i, 0.5, 0.1 in ascending order.\nAnswer: 0.1, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100201121200110220 - -2?\nAnswer: 100201121200110222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 (base 6) in base 3?\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -2. Let r be ((-9)\/t)\/(15\/10). Suppose 3*y = 5*p + 24, -4*p - 40 = y - r*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25434160?\nAnswer: 2, 5, 19, 29, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -40362343 (base 7) to base 11\nAnswer: -1995351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of -31\/6*l**3 + 0*l**2 + 19*l + 0*l**4 + 0 + 5\/4*l**5. Find the second derivative of t(k) wrt k.\nAnswer: 150*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/(-42))\/(2\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 2 - 3)*(-d + 5*d - 2*d)*(1 - 3*d - 1) as m*d + r + f*d**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h + 432 = 14*h. Suppose 73*m = 64*m + h. Solve 0 = w + 3*w - m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)\/(sqrt(55)\/sqrt(5)) + sqrt(3))*-3.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*w**3 - 8*w**3 - w**3 + 2*w**3.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + d = 2*j - 100, 2*d + 110 = 2*j. Suppose -5*k = -0*k + j. Is ((-12)\/k)\/(2\/402) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3856\/(-1104) - (59 + -62 + 1 + -2) and 119\/5310.\nAnswer: 122130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 - 3*o**2 + o - 14. What is s(-6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 54965377 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 62612180 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - b = -2*b - 143, 3*u + 4*b - 148 = 0. Suppose 55*j - 25487 = u*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 + 0 - 412\/(-4). Let g be 2*(-1 + 3)\/2. Is (t - g) + -1 + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -36*h**3 - 6*h**2 + 4*h. Let q(n) = 37*n**3 + 9*n**2 - 5*n. Determine 3*m(j) + 2*q(j).\nAnswer: -34*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is l in l**5 + 21*l**4 + 3*l**3 - 1837*l**2 - 2904*l + 47916 = 0?\nAnswer: -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -140 + 140 + 10589*d**3.\nAnswer: 10589*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 147, -3, -14 in ascending order.\nAnswer: -14, -3, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of 0*k**4 + 0*k**2 + 0*k**3 + 53\/5*k**5 + 71 - 88*k. What is the derivative of o(w) wrt w?\nAnswer: 212*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 6 = 2*i. Suppose -i*j - 12 = 2*j. Let t(x) = -1 + 0*x - 2 + 2*x. Give t(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1.9, 3, -29, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zbgn when four letters picked without replacement from gbngzqbqbenn.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 107085337 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v**3\/3 - 48*v**2 + 941*v\/3 + 822 = 0. What is v?\nAnswer: -2, 9, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -3*c + 61. Let m be (0 + -2)*(0 - 1). Suppose 0 = 2*i - u - 35, 0 = -0*i - 2*i - m*u + 50. Calculate the highest common divisor of c and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - s = 7, -2*s + 6 = 2*r - 0. Suppose 0*w = -3*k + r*w + 17, 20 = 4*w. Let u = 20 + k. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -634 divided by -12282.\nAnswer: 317\/6141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*11\/((-308)\/24)*-7*(-15)\/(-630).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 255879?  (a) -0.5  (b) 2\/5  (c) 3  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 6*c + 16. What is i(-9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 10, -4, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 4, 1.01, -3, 1, -1295\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 15.5, -2\/153, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.41356868 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 1115568?\nAnswer: -557784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 4*b - 16 = 0, 0 = -3*j - b - 4*b - 20. Solve j*d - 4*d = 3*p, 4*p + 5*d = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/27 and (-6)\/8 - (-2330)\/(-360)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from pqglq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 19383 less than or equal to 19380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9339 or 121416\/13?\nAnswer: 9339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 2*d + 164 = 2*o, -5*d + 190 = 5*o. Let r = -35 + o. Let y be 2102\/r + 5 + 27\/(-5). Calculate the highest common factor of y and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, j: 3, h: 5}. Give prob of picking 2 h.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*l - 83*l + 396. What is the smallest common multiple of l and 171?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22 - 75 + 16 + 16 + 19 + 12354*q to y + z*q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/6)\/((-392)\/(-588))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*u**3 + 2*u + 371 wrt u.\nAnswer: -15*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - (-6)\/(-3) - -1. Let q be p - -10*2\/(-4). Which is the third smallest value?  (a) -5  (b) q  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -2*k**2 + 2605168*k + 18236274 = 0.\nAnswer: -7, 1302591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 197*c - 296 = -2*m + 200*c, c = 8. Solve -17*q - m = 15*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.07*-683\nAnswer: -47.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 402 - 1286 = -68*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1222*x - 18090*x + 228331 + 350265 = 123160 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56131 is divided by 891.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -2, -11 in descending order.\nAnswer: 0, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 6:20 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 12:04 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -434 - -432. Let z(j) = j + 1. Let p be z(-4). Calculate the lowest common multiple of (w\/p)\/(3\/180*4) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 295*o - 73265 = -123*o - 84969 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the second derivative of 9*n**4\/2 + n**3\/6 + 3*n. Suppose -2*p + 5*f - 8 = 0, -p - 4*p - 5*f = -15. Is x(p) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**9\/w*w*w**(-1\/4)*w**6\/w**3 assuming w is positive.\nAnswer: w**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 528*f**2 + 93454*f - 290. Calculate s(-177).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = o - 5*o + 122, 2 = -g. Let b = 16 - o. Let q = 23 + b. Solve 3*v + q = 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the first derivative of -17*p**2\/2 + 4*p + 3. Is w(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 103 and 48.3?\nAnswer: 4974.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 2*r - 101, -88 - 280 = 4*w + r. Let n = w - -97. Is -2518*(-3 - (-10)\/n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -895, -1793, -2691, -3589, -4487, -5385?\nAnswer: -6283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3830 is divided by 49.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that m**3 - m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18 - 4) + -11 - ((-86)\/(-22) + -1)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3579063071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2994310080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19395 is divided by 445.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 700462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 10, 0, -0.5, -0.03?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t*t**(-2\/15))*t\/(t\/t**(7\/5))*t assuming t is positive.\nAnswer: t**(38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -r, 0 = 339*r - 323*r - 4*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -37.2 < 905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 6. Suppose 0*g + 2*g - c = -1, -3*g - 4 = -4*c. Let x be 25\/v - g\/(-2). Let q(t) = -t**2 + 5*t. Calculate q(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + 4 - 0. Let u(q) = q. Let v(m) = 3*m**3 + 2*m**2 + 5*m. Let l(f) = 4*u(f) - v(f). What is l(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44036 times 3.9?\nAnswer: 171740.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r**4 + 340*r**3 - 5250*r**2 + 26500*r - 44375 = 0. Calculate r.\nAnswer: -355, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 1505127640.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x. Let h(t) be the third derivative of 0*t**4 + 1\/12*t**5 + 0*t + 0*t**3 + 3*t**2 + 0. Give z(h(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -36930 - -37062. Is 1177\/9 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -14135, -57131, -128989, -229709?\n\"Answer: -14431*q**2 + 297*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (28\/(-4))\/((-27)\/13 - -2). Calculate the greatest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {v: 1, n: 3, i: 1, e: 5}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 791, 711, 631, 551?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -64988 less than or equal to -64986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 25\/(2 - -3) - 0. What is the biggest value in c, 0.3, -3\/2, -2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -3*z - 3*z**2 - 6 + 9*z + 5 + 5. Let u(d) = d**2 - d - 1. Calculate p(h) + 4*u(h).\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -21903, -43807, -65711?\n\"Answer: -21904*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -4  (b) 3  (c) -3  (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*v - 5*v - 44*v)*(-3*v**3 + 7*v**3 + 5*v**3)*(-3*v + 5*v + v).\nAnswer: -1458*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 - -22. Suppose 0 = 3*j + 14 + 1, -5*g + 3*j + 200 = 0. Calculate the remainder when g is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i + 15. Let v(b) = b - 14. Let n(z) = 4*s(z) + 5*v(z). What is n(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 7*c - 19. Let k(f) = 3*f - 9. Let h(w) = -4*j(w) + 9*k(w). Let r be h(-7). Solve -g = -r*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 0.3, -1.63 in descending order.\nAnswer: 0.3, -2\/3, -1.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1900))**2 - (sqrt(76)\/sqrt(4) + -3 - sqrt(19))**2 - (sqrt(38)\/(sqrt(2)*-1) + -3).\nAnswer: sqrt(19) + 7594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-v + 1 - 1 + (2 - 3 + 0)*(0*v + 3*v - 5*v) + (88*v - 11*v + 13*v)*(0 + 0 - 2))*(-3*v + 145*v + 44*v) to the form p*v**2 + q + k*v and give p.\nAnswer: -33294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-190)\/((-1815450)\/315)*-7?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1466*y + 1466*y - 93*y**4 - 384*y**4 + (-4*y**4 + 0*y**4 + 3*y**4)*(5 - 1 - 2) + 3*y**4 + 2*y**4 - 4*y**4 - 2*y**4 - 3*y**2 + 3*y**2.\nAnswer: -480*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 122122133 + 123?\nAnswer: 122122311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -2*c + 2*v - 41, -3*c + 2*v = -49. Let x be ((-28)\/(-35))\/((-6)\/c). Put x, 5, -4, 0 in descending order.\nAnswer: 5, 0, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 + 13*x**2 + 6. Let l be w(13). Let c(v) = -l*v - 9*v - 2*v**2 + 7*v + 13 + v**3. List the prime factors of c(6).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-53*s - 15*s - 25*s)*(-45 - 140 + 22).\nAnswer: 15159*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -36 - ((-30 - 3) + 9) - -88\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148*g = -72*g - 76 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4433176787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cexpecpsecxecs. What is prob of picking 1 p and 1 x?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/((-7)\/2) + (-13 - (-472)\/40).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-24))\/(11*1\/88).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 5*t = 13, l - 3*t - 3 = -10. Let c = -79\/2 - -549\/14. What is the closest to l in -0.2, c, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 3 + 0)*(-7 - 24 + 5)*(j + 4*j - 4*j) to the form x + d*j and give d.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.01, 2\/11, 3, -1\/4, -121\/2.\nAnswer: -121\/2, -1\/4, 0, 0.01, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.5 - -0.5. Let r = 24 - 24.2. Which is the closest to d?  (a) -0.1  (b) r  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5861*f**3 - 17839*f**3 + 23701*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -3*d + 12. Let u(w) = -10*w + 37. Let s(k) = 7*n(k) - 2*u(k). Suppose -5*t + 2 = -98. Let m = -13 + t. Determine s(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 95318 to the power of 1\/2, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 2*a - 2511, -2*g = 3*a - 1344 - 2415. What are the prime factors of a?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-45)\/840*(-16)\/(-12).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210 = 16*w - 2*w. Suppose -321 = -w*x - 81. Is 15 a factor of 4 + x\/(-2) + 3 + 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135 = -54*y - 88 - 47 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z + 3*z - 2*z)*(5 + 3 + 3).\nAnswer: -33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6*((-60)\/9 + 6). Let d(r) = -r**3 + 4*r**2 + r - 2. Let w be d(b). Solve -l = -w - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.17 + -1.27. Which is smaller: p or -101\/5?\nAnswer: -101\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - -17) + -1 + -4 + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*u + 34 = -10 + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 3*s**2 + 7*s + 10. Let y be f(-4). What is the greatest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 + 6*p + 3. Calculate the least common multiple of 12 and v(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -4*o. Let j(g) = -207214*g. Give j(y(f)).\nAnswer: 828856*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 33247355 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 184 = -0. Let t = 53 - c. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14 + 17. Solve 0 = j*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 56*f + 46*f - 16*f - 946 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -2*i**2. Let v(c) = 0*c - 97*c - 3*c - 102*c. Determine v(a(w)).\nAnswer: 404*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15, 7, 53, 117, 193, 275, 357?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 949575866?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1211*a**3 - 579*a**3 - 578*a**3 - 117*a**2 + 3*a**4 + 60*a.\nAnswer: 3*a*(a - 1)**2*(a + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-45)\/12 + 3 - 2\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 578 + -606 + (35 + 6 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 + 2*d**2 + (4*d**2 - 5*d**2 + 2*d**2)*(1 + 3 - 5) + 5*d**2 + d**2 - 4*d**2 - 2*d**2 - 4*d**2 + 4*d**2 - 5*d + 4*d**2 + 3*d + 0*d.\nAnswer: 5*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/4 > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d**4 + 3641*d**3 - 13172*d**2 wrt d.\nAnswer: 24*d + 21846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0039646 to 4 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 113618, 0, -4, -6, -2, -3 in ascending order.\nAnswer: -6, -4, -3, -2, 0, 1, 113618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, x: 6, e: 5}. What is prob of sequence reex?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3, 11, 39, 99, 203?\n\"Answer: 2*z**3 - 2*z**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 692232 = -21811*j - 1816033 for j.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 40902000 rounded to the nearest 1000000?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -4*w + 2*w. What is the remainder when 16 is divided by w\/((-1)\/((-6)\/(-2)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2175 times -0.2?\nAnswer: -0.0435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15478 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 0. Let f be 0\/6 - (i + 2). Calculate the smallest common multiple of 9 and -1 - -4 - (f - 6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 + -6. Suppose 0 = 4*l + j*x + 4, -3*l - 2*x = -7*x + 3. What are the prime factors of l + 21 - (1 - -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - (-248 - 2))*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -75 + 72. Let r(p) = -10*p - 29. Let o be r(c). Solve -o = 2*i + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 14) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.1, -5, -6, 2\/51, 17\/5, -23?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 7 - 19 = 0. Let i be 2 - (0\/4)\/t. What is the third derivative of -6*c**6 - 5*c**2 - 2*c**3 + 2*c**3 - 5*c**i wrt c?\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/4*520\/78.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27930, 93631, 203132, 356433?\nAnswer: 553534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = d + 1975. Let f be (-4)\/18 + d\/(-45). Let o = 18 + f. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 3*t - 6. What is u(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = -7*p - 3*p. Put -3, -2, -5, p in increasing order.\nAnswer: p, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2138333807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/9)\/((-2)\/(-48)). Suppose -1 + c = l. Suppose -l*m + 56 = -3*m. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21643289?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q + 3*q - 6*q + (-3 + 32 - 18)*(-2*q + q + 2*q) + 1 - 1 + q - q + 6*q - 2*q + (-q + q - q)*(5 - 4 - 3) - 3*q + 7*q - 3*q.\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 0 + 6 = 0. Suppose -5*j - r*q + 3 = 0, -2*j + q + 3*q = 4. Solve 5*m - 10*m + 10 = j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 5*b**4\/6 - 5590*b**3\/3 + 22325*b**2\/6 + 5585*b = 0.\nAnswer: -1, 0, 3, 2234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (1 + (2 - 3)) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 - 14*p + 33. What is v(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 + 6*f**2 - 8*f + 5. What is l(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/25272 and -11\/616248.\nAnswer: 8011224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1793.666 - -0.2.\nAnswer: -1793.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + -17 - -11) + (0 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 3:26 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32171565 to the nearest integer?\nAnswer: 5672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -211.48 and 7?\nAnswer: -1480.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 287*s - 1310*s - 14362 - 7121 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1*-6 - (-5 - -8))\/(-4 + 3). Let a = -18 - -30. Let c be (-1 - 1)\/a + 0. What is the biggest value in -0.3, s, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 782 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1769810, -1769808, -1769806, -1769804, -1769802?\n\"Answer: 2*d - 1769812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 828 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/7, 0.04, 2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes after 11:02 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 16\/120 + (-2 - 146\/(-30)). What is the second derivative of -11*l**y - 8*l + 35*l - 2 + 2 wrt l?\nAnswer: -66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(432) + 0 + sqrt(432)))**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 581430, 1162873, 1744316, 2325759, 2907202, 3488645?\nAnswer: 4070088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**3*q*q**(3\/13)\/q)\/((q\/q**(-3\/5))\/q)**(3\/7))**(-2\/179) assuming q is positive.\nAnswer: q**(1844\/81445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/11)\/((i\/(((i*i*(i**(-5)\/i)\/i*i)\/i)\/i*i))\/i))\/(i**(-2\/9)*(i\/(i*i*(i**(2\/7)\/i)\/i*i))\/i) assuming i is positive.\nAnswer: i**(-2546\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -62?  (a) 136  (b) 2  (c) -1\/9  (d) 0.1  (e) 0.054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 5.5032 * 13326\nAnswer: 73335.6432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 10:13 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + u - 4*u + (-5*u - 28 + 28)*(2 - 2 + 1) + (-1 - u + 1)*(5 - 4 - 2) - 2*u - 3*u + 6*u + (3 + 0 + 0)*(u + 0*u + u))*(2*u**2 - u**2 + 0*u**2).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 3 = 3*m. Suppose 5*p = -4*h + 50, 6 = 5*p - 2*p. List the prime factors of 0\/(-5) + h\/m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((sqrt(90) - (sqrt(90)*-3 + sqrt(90)))*-5)\/(sqrt(20) - sqrt(120)\/sqrt(6)*-2))**2.\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*u - m + 122 = 27*u, -3*m - 37 = -u. Calculate the remainder when 232 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 3*s**2 + 3*s - 17. Let x(v) = 17*v. Let l be x(1). Let i(a) = 0*a + 0 - a**2 - 6 + a + 2*a**2. Let f(q) = l*i(q) - 6*h(q). Factor f(y).\nAnswer: -y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21455 - 3*p + 21398 - 43307)*(2 - 4 - 3).\nAnswer: 15*p + 2270","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1779*f - 211 + 257 + 905.\nAnswer: 1779*f + 951","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 9:30 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76712 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 3 = 5. Suppose 3*x + 2*d + 2 = x, -d = -k*x + 7. Suppose 157 = h + 2*q, 4*q + 175 = 3*h - x*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 29312, 117233, 263762, 468893, 732620, 1054937?\n\"Answer: -s**3 + 29310*s**2 - 2*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -247 less than -243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 280396929.\nAnswer: 3, 17, 5497979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-4)*(-320)\/48. Suppose -m*b + 21*b - 2354 = 0. What are the prime factors of b?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7278334267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85 - 678*r**2 + 1351*r**2 - 671*r**2.\nAnswer: 2*r**2 + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mnmfnmwhmemehhe. Give prob of picking 1 w and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/s**2)\/s*s)\/s**2 assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p. Let i(c) = -4403*c**2 + 7*c. What is i(n(a))?\nAnswer: -17612*a**2 - 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -327245 divided by -2\nAnswer: 327245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112)*-2 - sqrt(7)) + (-1*sqrt(700))**2 + (sqrt(175) + -1 - sqrt(700)*1)**2.\nAnswer: sqrt(7) + 876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1795890 and 658493.\nAnswer: 19754790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -4*v**3 - 2*v - 1396. Let h(r) = 17*r**3 + 9*r + 5585. What is -2*h(m) - 9*x(m)?\nAnswer: 2*m**3 + 1394","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 149688 and 243320?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l**2 - 2*l**2 - 10*l**2 - 24*l**2 + 3*l**2.\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 438*h + 22365. Suppose 0 = -2*t + 201 + 9. What is the remainder when t is divided by p(-51)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 24*o + 8. Let k be p(8). Let q(g) be the second derivative of -4*g**3\/3 - 2*g**2 + g. Let y be q(-3). What is the greatest common factor of y and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 - 7. Let p be y(3). Calculate the remainder when -4 - -28*p - 0 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19376.766 rounded to the nearest 10?\nAnswer: -19380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 5*c**2 + 2*c. Let o be x(-1). Solve o*z = 1 + 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9\/(-15) - 106\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-160)\/(-42))\/(-4) - -1)*-6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m + 3 - 13. Suppose 0 = 5*a - m*a - 237. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 PM and 3:17 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -612 - -609. Which is the second biggest value?  (a) 55  (b) v  (c) -2\/9  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123179*z**2 + 246407*z**2 - 123231*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of 0*p - 23 - 9\/2*p**4 + 0*p**2 + 61\/3*p**3. Find the third derivative of s(b) wrt b.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**2 - 7*m - 10. Let r be l(8). Which is the closest to -2?  (a) r  (b) 1\/3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -0.54.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 5*h + 33. Let f = 14 - h. Suppose 0 = 2*k - k + t - 22, -f*t - 88 = -4*k. What is the remainder when 86 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 2*x = -5*k + 6, 3*k - 10 = -4*x. Suppose i = -i + 8. What is the greatest common divisor of i and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 7 + 15*b + b**2 + 4 - 5. Let w be a(-15). Suppose o - 2*l = -w*l, -12 = -2*o + 4*l. Calculate the smallest common multiple of o and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 take away 1288327.012?\nAnswer: -1288326.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -181.9*-7\nAnswer: 1273.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -705, -715, -727, -741, -757, -775?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -9*j - 121. Let r be v(-14). Suppose r*q - 15444000 = 31*q. Round q to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 67 + -10638de?\nAnswer: -1063877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 470 and 13620.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79 + 35 = -57*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 147*g + 651. Give z(-5).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 496012 by -124003.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 55 + -14. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.314 and 0.3.\nAnswer: 0.0942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 11:00 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r - 1. Let f(s) = s**3 - s**2 + 3*s - 1. Let x = -19 + 20. Determine x*m(l) - f(l).\nAnswer: -l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + 66523543?\nAnswer: 66523544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -468*q**2*r - 9*q**2*w**2 - 2*q**2 + q*r + 2*q*w + 4*r*w**2 + w wrt r?\nAnswer: -468*q**2 + q + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 55\/4 of a year?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 i when three letters picked without replacement from {f: 8, o: 2, z: 1, i: 5}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 10*x - 5. Let o(s) = -s + 1. Calculate -d(y) - 6*o(y).\nAnswer: -4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -104 + 101. Let n(x) = -20*x**2 - 8*x + 6. Let r(i) = -7*i**2 - 3*i + 2. Calculate j*n(z) + 8*r(z).\nAnswer: 4*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 - 36*j**2 - 35*j - 55. Let d be v(37). Let s = 17 + -8. Solve 7*h = d + s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 1 + (20 - 9 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.2 - 3. Let f = 0 + 1. Let t = -2044 - -2047. Which is the nearest to 0?  (a) y  (b) t  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/114 and (-24409)\/5544 + (7 - 1).\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 - 4*t + 3. Let m be (4\/(-6))\/((-2)\/9). Let s be f(m). Is 4\/17 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -166052 (base 8) to base 6.\nAnswer: -1143522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 93482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**4 - 3*m**4 + 0*m**4)*(-6 + 10 + 2).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 - 4*t**2 + 2. Let c(u) = -2*u**3 + 9*u**2 + u - 5. Let s(r) = -2*c(r) - 5*n(r). Let h be s(2). Is ((-3768)\/(-36))\/(h\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 167\/120 and 59\/7859310.\nAnswer: 31437240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1474703 < -1474700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(19) + 0 + 3 - (sqrt(19) + (2*sqrt(171))\/sqrt(9))).\nAnswer: -18 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 167 + r**2 + 4*r - 167. Suppose 0 = 5*g - 5 + 20. Determine j(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ukukuuk. What is prob of sequence kkk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 1:34 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2314.511m in micrometers?\nAnswer: 2314511000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 - 3 + 6*q + 4*q**2 + 0 - 3. Let w(g) = -376*g - 8268. Let u be w(-22). Calculate m(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m - 2*m - m)*(20 - 21 + 185).\nAnswer: -184*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by 40.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 2*c**3 - 4*c**2 - 4*c + 21. Let m(p) = -5*p**3 + 11*p**2 + 11*p - 62. Let n(s) = 2*s**2 - 16*s - 550. Let y be n(-13). What is y*m(a) - 11*h(a)?\nAnswer: -2*a**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -4*z + 50909 - 12614. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**5 - d**3 + d**3 + (3*d**2 - 5*d**2 + 0*d**2)*(d**3 - 7*d**3 + 3*d**3) + (-3 + 1 + 3)*(-d**5 - 2*d**5 + d**5) + 20*d**4 - 20*d**4 + 4*d**5.\nAnswer: 7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -7*h**2 - 24*h - 13. Let g(l) = 190*l**2 + 640*l + 350. Let k(x) = 80*d(x) + 3*g(x). Let o(s) = 7*s**2. What is k(o(b))?\nAnswer: 490*b**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1a2b2623 + 1?\nAnswer: -1a2b2622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 + 9*a - 9. Suppose y - 6 = 1. Let h be w(y). Factor -5*m**2 - 4*m**h + 4*m**3 - 4*m**4 + 3*m**2 + 6*m**2.\nAnswer: -4*m**2*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (1 + 3 + (-3 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 441 - 2218\/5. Is -4 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of -1\/30*a**5 + 0*a**3 + 0*a + 1\/60*a**6 + 0 + 0*a**4 + 3*a**2. Suppose f(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 2*n + 17410, -79*m + 75*m + 23220 = -4*n. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 0, 2, 12 in decreasing order.\nAnswer: 12, 2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 4*r - 1995 = -1990, -2*y - 3*r = 15 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxmfmxmxqmg. What is prob of sequence qmgf?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 - 65 - 68 - 2*v + 9 + 0*v.\nAnswer: -2*v - 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 less than -120537009?\nAnswer: -120537008.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/1458 and -41\/4617?\nAnswer: 27702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 37130*p**2 + 14665*p. Let q(m) = 714*m**2 + 282*m. Let r(h) = -4*i(h) + 210*q(h). What is the second derivative of r(t) wrt t?\nAnswer: 2840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 745720 + -1477157\/2. Solve 207*h + 3\/2*h**2 + v = 0.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -3*z**3 - 5*z**2 - 5*z - 10. Let s(u) = 4*u**3 + 6*u**2 + 6*u + 10. Let f be 21\/(-3) + (6 - (-35)\/5). What is f*h(k) + 5*s(k)?\nAnswer: 2*k**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 122*i - 124*i = -218*i + 200, i = -f + 4*f + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.036 and 11.\nAnswer: 11.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y - 1. Suppose -5 = 2*l - 4*x - 19, 3*x + 13 = 4*l. Let f(o) = -o - 5. Let r(q) = l*f(q) - 6*b(q). Is r(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2 - 7*t - 1. Let k be a(-6). What is the second derivative of k*j**3 - 7*j**2 - 2*j**3 + 7*j**2 - 3*j wrt j?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001307 to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2430 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 631*y**2 + 268*y**2 + 1136*y**2.\nAnswer: 2035*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27 + 64. Let d = j - 37.4. Let v = -0.06 + 0.36. Which is the second smallest value?  (a) 10  (b) v  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -4*f. Let t(v) = -1 - v**2 - v - 1 - v**3 + 4. What is the units digit of t(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 4*f - 5*f + 0*f - 5*f. Let o(l) = 3*l. Calculate o(r(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 801*m**2 - 3*m + 3*m - 466*m**2 + 525*m**2 + 586*m**2 + 0*m**2 - 2*m**2 + 4*m**2 + (2 - 2 + m)*(-m + 0*m + 3*m) + 3*m - 3*m + 2*m**2.\nAnswer: 1452*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -14606\/21425 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -280948*g*o**2 + 7*g*o + 101*g - 392 wrt o.\nAnswer: -561896*g*o + 7*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-64)\/(-96)*27\/(-6)*-1. Sort -3, 12, q in decreasing order.\nAnswer: 12, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t**3 - 3*t**2 - 2. Suppose -31*z + 27*z = -12. Let b(y) = y**3 + 4*y**2 + 3. Calculate z*r(p) + 2*b(p).\nAnswer: -4*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((k\/(k*k\/k**(1\/7)))\/k)\/k*k*k)\/k)\/(k*(k*k\/(((k**(-2)\/k)\/k)\/k))\/k))**(-8)*(k*k**(1\/3)*k**8)**(2\/9) assuming k is positive.\nAnswer: k**(13784\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - -34ae?\nAnswer: 34b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 7197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/897 and 121\/2886.\nAnswer: 66378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 - (27 + 26 + -17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) 239  (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 2 + 8 = -2*k, -5*h - 6 = -k. Let m = 2 + h. Solve m = -2*o + c - 10, 5*o = 4*o - c - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1633*v**3 - v**2 + v + 2903 wrt v?\nAnswer: -9798*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 21\/4 of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148225 is divided by 382.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 667, 2964, 6859, 12352, 19443, 28132?\nAnswer: 38419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*1*sqrt(17) + -4.\nAnswer: -5*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.7 - -23.0669.\nAnswer: 22.3669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/((-1)\/(-18)*3). Is 14 a factor of (-6)\/i*(-1 - 135)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of -d**6\/120 - 2*d**5\/15 - d**4\/24 - 5*d**3\/6 - d**2. Let q be a(-8). Let f = q + -3. Put 4, f, 3 in decreasing order.\nAnswer: 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20 + 2*t**2 - 1 - 13 + 12*t**3 + t**3 - 7 + 6*t to q*t + o*t**2 + r + i*t**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -3 - (-915)\/(-185) - -6\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 2\/7, -36, -4, 0.87?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1538118 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6153443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2909003, 2909006, 2909009, 2909012, 2909015?\n\"Answer: 3*i + 2909000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12621, -12880, -13139, -13398?\nAnswer: -13657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, g: 2, v: 1, w: 2}. What is prob of sequence gwg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -20*c - 64*c. Let a = 325\/4 + -13971\/172. Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 133981205 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -8054 divided by -8054\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*1761399.\nAnswer: 7045596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 430 and 1247.\nAnswer: 12470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 5*u + 0 + 7*u + 3 - 4*u. What is d(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of -i**3\/6 + 14*i**2 + 29*i. Let g be f(23). Solve 3*v + 31 = 4*p, 5*v + g = 4*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -286, -1081, -2406, -4261, -6646?\nAnswer: -9561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.49 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 6*r = 2*r - 2, -4*q + 5*r = 14. Suppose 0*d + 5*d = -4*j - 29, 3*j + 3 = 0. Is q at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(2448) + -1 - sqrt(2448)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 7, c: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -1, 3, -2\/17, -2.521, 1\/5?\nAnswer: -2.521","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 159 + -154. Suppose -4*c = -3*z - 5196 - 18982, 30225 = 5*c - m*z. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -56.08 - -67.8. Let s = 0.28 + d. Let v = s - 11.94. What is the second biggest value in -5\/2, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 260 is divided by 206.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1017241 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d**3 + 12*d**3 - 4*d**3 - 5*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -5*(-5 + (-96)\/(-20)). Let z be (-1)\/v + 3 + (-1106)\/(-7). Suppose -6*l + 8*l = z. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 110 = -2*a, 4*a - 8*t - 265 = -3*t. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -115.5 times 1.2\nAnswer: -138.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 + m. Let k(d) = -27*d**3 - 20*d**2 - 3*d + 5. Let y(x) = 13*x**3 + 8*x**2 + 2*x - 2. Let q(b) = 2*k(b) + 5*y(b). Determine -q(a) + 5*r(a).\nAnswer: -6*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -770, -4, -0.3, -2.\nAnswer: -770, -4, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 15257831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*n**5 - 1115528*n**3 + 665265*n**2 + 1?\nAnswer: -120*n**2 - 6693168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1012201021021 (base 3) to base 5.\nAnswer: -131101103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 9168 = 5*b, -190*b - 4*g = -187*b - 5456. Calculate the remainder when b is divided by 264.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 180*n - 46*n**2 + 341 - 37*n**3 - 13*n**3 - 5*n**4 - 81*n**2 + 22*n**2 + 199.\nAnswer: -5*(n - 2)*(n + 3)**2*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/8093736 and -179\/2341584?\nAnswer: 372311856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4398206851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4662, -4640, -4618, -4596?\nAnswer: -4574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*c + 451 - 121 = 0. What is the greatest common divisor of 77 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 12:14 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*d - 6*d - 16. Let o = d - 8. What is the smallest common multiple of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1000894 or 1000904?\nAnswer: 1000904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -781 rounded to the nearest 10?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/15 in 3\/4, -2\/5, -2\/15, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -0*s - 36. Suppose -16 = w - s*w. What is the least common multiple of 9 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*v**3 - 107030774*v**2 - 860777*v - 25 wrt v?\nAnswer: -12*v - 214061548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 0.2, -45, -3, 0.3, -1641?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of s**6\/360 + s**5\/24 + s**4\/6 - s**3\/6 - 6*s. Let v(h) be the second derivative of c(h). Factor v(u).\nAnswer: (u + 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + x + 5 = -11*x - 47, -5*x - 12 = -2*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 204 and 17646?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2817082.9929 + -2817234. Let j = -150.5 - 0.5. Let h = m - j. Round h to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101*f**2 - 64*f**2 - 42*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 - 3*j**2 - 19*j + 14. Determine p(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -29 and 13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 55747 from -0.117487.\nAnswer: -55747.117487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5698282.99765 - 5698587. Let n = r - -304. What is n rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (6 + -3 - -39) + 4 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.3 + 0.2. Let n = -18.7 - -19. Let i = 464 - 462. Which is the nearest to i?  (a) o  (b) -4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 366*b - 924*b + 541*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1902406.\nAnswer: 2, 11, 43, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 - 38 = -17*z. Suppose -p - 39 = c - 12, z*p - 5*c = -153. Round p to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 4) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10209 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 155?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-1 - (-1)\/3). Suppose -53*l + 47*l + 60 = 0. Let a be -4 + 16\/20*l. Solve 2*s + z + 1 - m = 0, -2*s = -a*z - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*y**3 + 27*y**4 + 138*y + 3*y**2 + 129*y**4 - 3*y**2 + 47*y**4 wrt y?\nAnswer: 2436*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/21708036 and 41\/7236012.\nAnswer: 21708036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.00656 - 0.00656. What is the biggest value in -470, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 3*k - 7 = -4, 16 = -4*s + 4*k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3703691 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 24064 (base 7) to base 11\nAnswer: 4745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20895 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, 81, 4, -1 in decreasing order.\nAnswer: 81, 5, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -184 + 188. Suppose 4*c + 30 = -5*h + 113, 2*c = g*h - 56. Solve -4*y - h = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*o**4 + 41*o**4 - 6*o**3 + 6*o**3 - 10*o**4 + 3*o**4 + o**4 + (2*o**4 - 4*o**4 + o**4)*(-2 - 1 + 5) + 4 - 4 + 3*o**4.\nAnswer: 30*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 5*v = 4*p - 36, -2*v + p = -9. Let c = v - 3. Solve 0 = c*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that m**3\/2 - 1382*m**2 + 1158005*m\/2 - 66270421 = 0.\nAnswer: 241, 2282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 0.4  (b) 693  (c) -0.01  (d) 12\/5  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -6*t + 3. What is p(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3\/5 - 116*m**2\/5 + 1038*m\/5 + 3456.\nAnswer: -2*(m - 15)*(m + 9)*(m + 64)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2694620 and 210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (48\/77)\/1 - 24505\/34307?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((-2*sqrt(243) + -4 + -1)*-6)**2 + 2.\nAnswer: 6480*sqrt(3) + 35897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -9*q - 91, 8*s - 5*q - 30 = 11*s. Let w be 1*2 - (-3)\/(-1). Let i be (w\/2)\/(1\/(-4)). Solve -3*u - s = i*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((-14)\/(140\/30))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.74*-155.\nAnswer: 269.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -696 and -0.5.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 70*z + 1 + 182*z**2 - 235*z + 18*z**2 wrt z.\nAnswer: 400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 - 4*r - 1. Let s be d(-4). Suppose -4*k + 3*k = -5. Sort k, 2, s in descending order.\nAnswer: k, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 - 5)*(-3*h**5 + 3*h**5 + 2*h**5).\nAnswer: -18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 PM and 8:18 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 PM and 7:59 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -241 in -7, -11, 2\/3, -10, 3, 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/196974 and -81\/25730?\nAnswer: 81744210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2 - 57378462*h - 274357325123787.\nAnswer: -3*(h + 9563077)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(((((n\/n**(-3\/2))\/n*n)\/n)\/n*n)\/n))\/(n**(-7)*n)*(n\/n**(5\/4))\/(n*n**5*n))\/(n**(2\/15)*(n**(-9\/2)*n)\/n)**(-38) assuming n is positive.\nAnswer: n**(-10001\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (-4 + 4 - (5 - 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 142, 131, 106, 61, -10?\n\"Answer: -q**3 - q**2 - q + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 37 + -39 + -55 + 62\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/((8 - 5) + -1). Let i be (h\/(-2))\/(1\/14). Suppose 9*t - 594 = i*t. Does 25 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -3*c + 5*q, -q = -202*c + 197*c + 28 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 288, 564, 834, 1098, 1356?\nAnswer: 1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4*(-2)\/((-16)\/10). Let i(p) = -10*p + 12. Suppose 3*r - 8*r + 100 = 0. Let v(n) = -r*n + 6*n + 10*n + 5. What is u*i(q) - 12*v(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 0  (c) 3\/4  (d) 3  (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -16 divided by 722840\nAnswer: -2\/90355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 12559309 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10672218 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -4*k**2 - 3*k. Let d(v) = -58*v + 6*v + 38*v + 9*v. Determine d(c(g)).\nAnswer: 20*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -47 - -45. Suppose -h - 2*g + 10 = -3*h, 2*h + 4*g = 2. Sort h, y, 4, -4.\nAnswer: -4, h, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 718784?\nAnswer: 2, 11, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1, 0.0834, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 94 and 313349.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a79 (base 11) to base 3.\nAnswer: -1210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - i**2 + 34*i + 296. Is 8 a factor of a(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -f + 3*f - 3*z + 17, 0 = -f + 2*z - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 + 17*l**2 + 23*l - 90. Let f be x(18). Let m(o) be the first derivative of f*o + 1 + 1\/3*o**3 + 0*o**2 - 1\/4*o**4. Solve m(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 2*c**3 - 2*c**2 + 4*c - 5. Let b be ((-6)\/8 + 50\/24)*-3. Let g be p(b). Let o = -81 - g. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-211499)\/(-18) + (-11)\/(-198).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 250*s + 1342 = 47*s - 5154 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-30)\/(-9))\/(-5)*60\/(-8). Calculate the common denominator of ((-61748)\/240)\/43 - 3\/o and -119\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20*(31 + 1) - (-4 + 2) is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 8:53 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*s = 181785 - 24297. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5\/65 + (-3564)\/(-312) + (-3)\/6. Solve 4*s = -4*m + m - t, 0 = -5*m + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.116 and -0.05.\nAnswer: -0.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 PM and 1:23 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in -0.2, -0.3, -33?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-27)\/(-54))\/(15\/12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 PM and 2:18 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -82, -4?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times 0.1\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 146, -1, 15.3?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10272727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 120 + 0.1.\nAnswer: 120.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -3\/5  (b) -10  (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15480 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 201*p**2 - 9459*p - 37654160 wrt p?\nAnswer: 402*p - 9459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -11 - 25*u + 18 - 6 + 9*u**2. Let m be k(3). Solve 5 = y + m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 - 4*k**2 + 14*k + 25. Calculate m(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-7.58134.\nAnswer: 2.274402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 77*u**2. Let k(m) = -128*m - 7174. Let t be k(-56). Let h(r) = -10011*r**2. Calculate t*h(y) - 781*a(y).\nAnswer: -71*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 5*t**3 - 6*t**2 - 6. Let o be 40\/8*(-2)\/5. Let c be (o - 4\/(-2)) + 6. Let v(s) = -4*s**3 + 5*s**2 + 5. Determine c*v(y) + 5*m(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11 in -628, 2, -1, -0.4, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*-0.72275\nAnswer: -0.072275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24873, -1, -3 in decreasing order.\nAnswer: 24873, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -0.2  (c) 471  (d) 4  (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -13*x + 169. Let h be n(13). Suppose h = 7*c - 3339 - 5915. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139972 to the power of 1\/2, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4577 * 0.1.\nAnswer: -0.04577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -597, 588, 1795, 3030, 4299, 5608, 6963?\n\"Answer: u**3 + 5*u**2 + 1163*u - 1766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -68*j + 70*j. Is 11 a factor of (-1251)\/(-12) + j\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -2*v**2. Let j(k) = k + 41. Let q be j(-13). Let c(t) = q*t**2 + 46*t**2 + 11*t**2 + 117*t**2. What is o(c(y))?\nAnswer: -81608*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 396406 * 26\nAnswer: 10306556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from babaabababaa?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 27.22 * -0.055.\nAnswer: -1.4971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -18*s**2. Let l be (-1 + 0 + 1)\/(-1). Let y(q) = -q + q + q + l. What is o(y(p))?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -56, -209, -456, -791, -1208, -1701, -2264, -2891?\n\"Answer: p**3 - 53*p**2 - p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 70, 159, 248, 337?\n\"Answer: 89*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/((3 + -2)*-1). List the prime factors of -6*b\/(30\/(-925)).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 75 = 5*q, -58 = 5*f + q - 13. Let v be (15\/f)\/1*(-8)\/54. Which is the biggest value?  (a) -0.1  (b) v  (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:34 AM and 5:51 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 154947857 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-23)\/(35880\/234)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 367121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -57, -79, 63, 459, 1199, 2373, 4071?\n\"Answer: 15*d**3 - 8*d**2 - 103*d + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -137440 divided by -80\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2 + 6 - 3*w - 2. Let i be z(-2). Is i + -1 - (-2 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 359616?\nAnswer: 2, 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 89903?  (a) 1  (b) -3  (c) -13  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 0*v = v + 9, 4*h = 3*v + 17. What is the smallest common multiple of h and 23?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 152, -4447, -2\/15, 0.03, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110 is divided by 82.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -3*u + 36. Let g(h) = -9*h - 5. Let a(t) = 13*t + 7 - 3*t - 1. What is u*a(z) + 6*g(z)?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 95581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**5*j)\/(j\/(j*j*j*(j**2\/j)\/j*j*j)))\/(j**(-2\/3)\/j**(-1)))\/(j**0*j*j**0*(j*j\/j**(-1))**(11\/2)) assuming j is positive.\nAnswer: j**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*f - 978 + 97 - 1839 = 20*f for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -7*v**3\/6 - 103*v**2\/6 - 37*v + 12 = 0. What is v?\nAnswer: -12, -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6510 by 38.\nAnswer: -3255\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/(-5) + (-2 - (-12)\/5). Factor -2*d**a - 10*d + 12 - 2*d + 5*d**2.\nAnswer: 3*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20629 is divided by 6847.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 24*n**3 - n**2 + 2*n - 3. Let a(c) = 25*c**3 + 2*c - 2. Determine 3*a(s) - 2*u(s).\nAnswer: 27*s**3 + 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11377 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*z + 7127 - 1385. Suppose q = -5*a + 891, 5*a + 81 = -2*q + 968. Let u = z - a. List the prime factors of u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*i**5 - 119*i**3*w**2 - 28*i**2 + i*w**2 + i*w wrt i?\nAnswer: -120*i**2 - 714*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 + 5*r**2 - 3*r - 3. Let f = -7 + 10. Let c be k(f). Let t = 1 - c. Put -4, 4, t in descending order.\nAnswer: 4, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, z: 10}. Give prob of picking 3 z.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-38827)\/(-947) - (-2073)\/(-51)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25007159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*o = -238 + 148 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 121*g - 887. Let r(j) = -93*j + 665. Calculate 10*i(q) + 13*r(q).\nAnswer: q - 225","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 31000*1\nAnswer: 31000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 47 - 2 = 0. Let n = -39 - l. Let p = 3 + 6. Calculate the highest common divisor of p and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the second derivative of -1\/20*s**5 - 1\/3*s**4 - 10 + s - 86*s**2 + 0*s**3. What is the first derivative of x(o) wrt o?\nAnswer: -3*o**2 - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-31 - (-15 + 9)) + 5 + 11 + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**3 - 13914*z**2 + 18513390*z + 20833098602.\nAnswer: 2*(z - 3833)**2*(z + 709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 2*z - 3*z**3)*(z**2 - 3*z**2 + 0*z**2) - 5*z**4 - 3*z**5 + 5*z**4 + (z - 2 + z**3 + 4*z**3 - 3*z**3)*(1384 - 59*z**2 - 1384).\nAnswer: -115*z**5 - 59*z**3 + 118*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, h: 2, c: 3, z: 4, p: 3, b: 1}. Give prob of picking 1 c and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 17 = 2*b. Find the third derivative of -4372 + 8*r**b + 2*r**2 + 4372 + 2*r**4 wrt r.\nAnswer: 480*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from effkoufoekone. What is prob of sequence oo?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -204 (base 11) in base 8?\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*b - b - 5*b)*(164 + 40 - 22)*(2*b**2 + b - b).\nAnswer: -4368*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 5*j**2 + 4*j + 14. Let f(s) = -6*s**2 - 3*s - 15. Let t(k) = -4*f(k) - 5*l(k). Calculate the remainder when 17 is divided by t(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 83 + -75. Calculate the smallest common multiple of j and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-9))\/(1\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of s**5\/20 - s**4 + 8*s**3\/3 - 7*s**2\/2 - 4*s. Let g = -10 - -21. Is 8 a factor of y(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 - 2*q**2 - 3*q - 2. Let v be i(-4). Let n = 174 + v. What is the highest common divisor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-9)*45\/(-10). What is the biggest value in 1.6, 1, t?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 736 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w. Suppose -3*o - 15 = -5*h, 5*o - h = 1 - 26. Let q(d) = -2*d + 1. Let g(x) = o*y(x) - 4*q(x). Calculate g(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 6, n: 4, r: 4, m: 5}. What is prob of sequence rnrm?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 940 (base 16) in base 4?\nAnswer: 211000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/(u\/(u*u\/(u*u\/(u**(2\/47)\/u)*u)*u))*u*u)*u\/u**(20\/3))**(-5\/4) assuming u is positive.\nAnswer: u**(4025\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**3 - 11*c**2 - 72*c - 154. Give m(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 (base 9) in base 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*b**3 + 2 - 6*b**3)*(0 + 0 - 2*b).\nAnswer: 8*b**4 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 655 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -13.17, -2\/17, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of -l**3\/3 + l**2\/2 + 5*l. Determine n(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/6)\/(2\/18). Suppose 18 = -5*n + x. Let m = -2 - n. Sort 4, m, 0.\nAnswer: 0, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12*((-1)\/(-9))\/(3\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 92796 + -159297. Let n be (-66495)\/g + 0 + -1. Let u = 1174819\/354672 - n. Find the common denominator of -79\/2 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/1278 and -23\/618.\nAnswer: 131634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -2*j**2 + j - 2. Let a(n) = 7 - 3 - 3 + n**2. What is 5*a(z) + 2*m(z)?\nAnswer: z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 5419.9254809382 and 1.6?\nAnswer: 5418.3254809382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 82 + -82. Suppose -4*y = m, -5*u = -7*y + 9*y - 40. Suppose -3*d + u = d. Solve 10 = 2*r, -3*i + 3 = -2*r - d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of -m**4\/12 + 3*m**3\/2 + 5*m**2 - 2*m. Suppose 5*c = 3*y + 45, -c = -y + 4*y - 9. What is the units digit of d(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/3*(23 + 25). Suppose -124 = -c*h + 6084. What are the prime factors of h?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -670 = -2*u - 5*n, 2*u - 4*n = -0*u + 688. Let d = u + -26. Suppose 106 + d = 3*r. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/25))**(-5) assuming x is positive.\nAnswer: x**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/5439 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) -1  (b) 2  (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 283698 is divided by 25722.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.7?  (a) 4  (b) 1\/8  (c) -5\/3  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7235 + 7231. Put -2, c, 2\/85, -20 in increasing order.\nAnswer: -20, c, -2, 2\/85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (96\/9)\/8*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-4) + (-12)\/8 + -1. Which is the nearest to 2\/3?  (a) -2\/3  (b) -2\/21  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23295600 and 936.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 3379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((sqrt(72) - (sqrt(72) + 1 + sqrt(72))*4)*1)**2 - (5 + (sqrt(32)*2)**2 + 5)).\nAnswer: 2016*sqrt(2) + 20436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -26708 at most -2216886\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4459 = 17*p + 233. Let h = -2 - -3. Is h\/(-3*4\/p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14835 - 705 = 15*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g**2 + 5*g - 5*g + 278*g - 278*g - 50*g**2 + (3*g + g - 6*g)*(-g + g + 2*g) - 4*g**2 - g**2 + 6*g**2.\nAnswer: -55*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.8 + -1778724.\nAnswer: -1778731.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6996872 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*f = -23*f - 1, 5*n = -3*f + 109297. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/25)\/((-6)\/14)*(-32)\/112\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 38*o + 117 = 0. Suppose 2*b + b - 2*x = 105, 35 = b - x. Suppose 3*r - 1 = b. Solve -5*k - o*l = l - 14, -5*k - 2*l = -r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 987 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x**2 - 3*x**2 + 4 + 6*x**3 + 16*x**4 - 19*x**4 - 3*x**3 - x - 2*x**4 to the form u*x**4 + q*x**2 + h + d*x + c*x**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*l = -12*l + 2*b + 5, 5 = b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 3*a = -63, -5*a - 9 = -5*v + 26. Calculate the greatest common divisor of v and 672.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -34 - -106. Let a be 16\/s + 19\/36. What is the third smallest value in a, -0.4, -0.05?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(600) + sqrt(600) + sqrt(600)*1*-6 + sqrt(600))*1)\/(sqrt(825)\/sqrt(11) - (sqrt(3) - (-3*sqrt(108) + sqrt(108))))*-1.\nAnswer: -15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-6*((sqrt(2448) - (sqrt(2448) + 5 + sqrt(2448) + 0 + sqrt(2448)) - sqrt(2448)) + 1*sqrt(2448) + 4))**2*-6.\nAnswer: -6345864 - 31104*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3359 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -347085*m**3 + 173557*m**3 - 4*m**2 + 2*m**2 + 173544*m**3.\nAnswer: 16*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 540 is divided by 265.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 63252 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54664 is divided by 5249.\nAnswer: 2174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, -1\/23, 1\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -281354, -562767, -844180?\nAnswer: -1125593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is r in 161367*r**3\/5 - 31806*r**2\/5 + 1332*r\/5 + 24\/5 = 0?\nAnswer: -2\/149, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 5:30 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 16935955847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 41*i - 3. Let o(j) = -68*j + 5. Let q(a) = -3*o(a) - 5*u(a). Let n(k) = 3222*k. What is q(n(v))?\nAnswer: -3222*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-1 + sqrt(208) + 3 - (sqrt(208) + 2)*6)*5)**2.\nAnswer: 9400*sqrt(13) + 132209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13.20852 kilometers to nanometers.\nAnswer: 13208520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 981281993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/706 and 47\/12?\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 216 and 2700.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 227504 and 12744?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/(p*p\/p**(-24\/5))))\/p*p)**49 assuming p is positive.\nAnswer: p**(1666\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 - 713?\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of -c**6\/30 + 7*c**5\/60 - 7*c**3\/6 - 3*c**2. Let n(y) = y**3 - 2*y**2 + 2. Calculate 2*a(d) + 7*n(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -5*i - 2. Let x(s) = 2*s + 2. Let q be x(i). Let b = 6 - q. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 10 - 1 = 0. Let i = d + 5. Solve 0 = -0*b - 3*b - 4*x - 19, i*x = -3*b - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*s**4\/3 + 845*s**3\/3 + 4141*s**2\/3 + 1105*s = 0 for s.\nAnswer: -39, -85\/19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 + 31*x**2 + 27*x - 95. Let h be n(-30). Put -1\/4, -4, h, -27, 10 in descending order.\nAnswer: 10, -1\/4, -4, h, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -44, -82, -140, -224, -340?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 0.14, -3, 4\/5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u**2. Let w(p) = 0*p - p - 2*p + 6*p. What is r(w(x))?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*s = 14*s - 17. Suppose -2*v - 3*a = 41, -a = -5*v - 6*a - 95. Let o = v + s. Calculate the remainder when 1 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*s - 67 = 3*o, 8*s - 3*s - 5 = -3*o. Which is the second biggest value?  (a) -0.4  (b) s  (c) 42  (d) 0.1  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 165, 337, 499, 645, 769, 865, 927?\n\"Answer: -p**3 + p**2 + 176*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4454 - -4509. Solve -48*r = 343 - y for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*a**2*k*w**3 + 174*a**2*k*w - a**2*w**3 + 298*a*k*w**2 + 2*a*w**3 - a*w + 9*k*w**3 wrt a.\nAnswer: -8*k*w**3 + 348*k*w - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*b*k**2 + 148480*b*k*n + 2*b*k - 21*b*n - 32010*b + k**2*n - 4*k**2 - 2*k wrt n?\nAnswer: 148480*b*k - 21*b + k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 7:02 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1493 divided by -183?\nAnswer: 1493\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + (2 - 1) + 1. Suppose -w = -3*w - t. Let r = w + 12. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 92862 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and 0.0015.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11168899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -598311 + 598314. Determine b so that -76\/3*b**y - 14\/3*b**4 - 128\/3 - 200\/3*b**2 - 1\/3*b**5 - 256\/3*b = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 0.516  (b) 1\/7  (c) -2\/5  (d) -0.1  (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0325666258 less than -1225?\nAnswer: -1225.0325666258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 83*b - 20*b + 26*b + 112*b - 28*b. Let g(k) = 5*k - 5*k - 2*k**2 + 4*k**2. Calculate g(v(i)).\nAnswer: 59858*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (64\/72)\/((-2)\/4212*36)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1349, -1354, -1359, -1364, -1369, -1374?\n\"Answer: -5*p - 1344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2198743488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of l**7\/28 - 3*l**5\/40 + 4*l + 7. Let w(u) be the first derivative of y(u). Factor w(b).\nAnswer: 3*b**3*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17193 - -19866. Calculate the lowest common multiple of g and 3.\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -481 + 473. Suppose -279 + 69 = -2*n. Calculate the remainder when n is divided by a\/(-52) - 4311\/(-117).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100023 (base 4) to base 16\nAnswer: 40b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 16 = 3*g, 2*g - a = -5*a. Let s be -2 - 4*g\/(-8). Solve 3*x + 5*v - 6 = s, 3*v = -2*x + 4 - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 479?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 34\/42 - (-4)\/(-6). Let m = 10\/21 - p. Let x = -4 - -8. Which is the nearest to 2?  (a) m  (b) x  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 184647 is divided by 2840.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 36947468437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-39)\/(-26) + (-40)\/16. Let q be 0 - f - (-6 - (-156)\/30). Let k = -160 - -476\/3. Which is the nearest to 0.1?  (a) -2\/11  (b) q  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in three sixteenths of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7718*x**3 - 7719*x**3 + 5*x**2 - 5*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (50\/(-15))\/(6\/9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(176) - sqrt(176)*-2))**2 + 4.\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/622 and -41\/1757150.\nAnswer: 1757150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1115, -1435, -1973, -2735, -3727, -4955, -6425, -8143?\nAnswer: -10115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 357 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of 0 + 1\/27*o**4 + 0*o**3 + 0*o - 1\/945*o**7 + 2\/135*o**5 - 92*o**2 - 1\/540*o**6. What is m in p(m) = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r**2 - 6*r**2 - 3*r**2 - r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of -1\/10*a**5 - 2*a + 0*a**2 - 1\/3*a**3 + 0*a**4 + 0. What is the second derivative of r(y) wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1728\/(-330) - -6)\/(12 + 2914\/(-235))?\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*h - 1)*(4 - 6*h**2 - 4)*(2*h - 4*h + 0*h).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 5) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -221 != 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 54\/3633355 and 21\/4313144?\nAnswer: 668537320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 28 - 6 + 9*v - 21 in the form w + k*v and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 113 + -36. Calculate the remainder when i is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b - 2*y = 4*b - 16, 4 = 2*b + 2*y. Put b, -9, 1 in decreasing order.\nAnswer: 1, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (73 - (55 - -90))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23175661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -30 + 236326?\nAnswer: 236276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-276)\/(-1071) - 2*12\/42) + (-2)\/(-3).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 63, -2\/623, 0, 6, 4 in ascending order.\nAnswer: -2\/623, 0, 4, 6, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - x = -4*x. Suppose 4*i = -3*w + 1666, 0 = -3*w - x*w - 3*i + 1668. List the prime factors of w.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01764939 to four dps.\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1385 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1140022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, a: 5, l: 2, e: 2, f: 5, h: 2}. What is prob of picking 1 f and 1 a?\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n = 3*n + 618. Let x = n - 28. What is the highest common factor of 30 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -25 - ((75 - -7) + -51).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -337491 by 487.\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3432007679 a multiple of 7983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2965 + 2977. Solve -162*v + d = -156*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -90664 divided by -4\nAnswer: 22666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31 (base 4) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -344223 times 26\nAnswer: -8949798","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: -1842 divided by -1842\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 13*v**3 - 9*v**2 - 9*v + 9. Let o(f) = -20*f + 89. Let h be o(4). Let t(b) = 2*b**2 - 5*b**3 - 2 + b + b + 2*b**3. Calculate h*t(a) + 2*m(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2365, 0 in increasing order.\nAnswer: -3, 0, 2365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of u**6\/6 - 8*u**3\/3 + 993*u**2 - 399*u + 1. Differentiate z(q) wrt q.\nAnswer: 20*q**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + 11 - 0 - (0 + -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**4 + 411*q**3 - 417*q**2 - 411*q + 414.\nAnswer: 3*(q - 1)**2*(q + 1)*(q + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (51 + 127 - 3 + (-1 + 2 + 1)*(-1 + 4 - 5))*(-3*y**5 + 0*y**5 + 6*y**5).\nAnswer: 513*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -168*x**3 + 202*x - 202*x.\nAnswer: -168*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/6 and ((-11)\/(-3234))\/(5\/(-50))?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 72 = 2*u, -4*u + 16 = -0*u. Suppose 2*s - 22 = -2*t, 5 = -18*s + 17*s. Calculate the greatest common factor of t and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92.36383nm to kilometers.\nAnswer: 0.00000000009236383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 9*w**4 + 10*w**3 + w**2 - 4. Let m(k) = -8*k**4 - 10*k**3 - 2*k**2 + 3. Let c(q) = -4*m(q) - 3*y(q). Factor c(j).\nAnswer: 5*j**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 146773 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 3218 = 15206. Suppose 0 = -5*f - 0*l - 3*l + o, 3*f - 1795 = -5*l. Suppose 0*i - f = -2*i. Round i to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqs when three letters picked without replacement from seeqqeqwsewew?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.007 + -0.493. Which is the nearest to 0.2?  (a) 0  (b) 1  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = h - 5, 0*h + w + 25 = 5*h. Which is the smallest value?  (a) -8  (b) -4  (c) 0.1  (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 3*r**2 - 170*r + 971. Give g(6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 318*f - 1. Is m(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 10*h**3 + 9*h**2 - h + 13. Is s(16) 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 2004?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 73, 264, 581, 1024, 1593, 2288?\n\"Answer: 63*b**2 + 2*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -43*r**2 - 4*r**2 + 78*r**2 - 2*r + 3. Let l be f(2). What is the highest common divisor of l and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 42 = -2*z. Calculate the common denominator of -79\/18 and 4\/14 + 33\/z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of u**6\/6 + u**5\/2 - 5*u**4\/12 - 5*u**3\/3 - 30*u. Factor o(n).\nAnswer: 5*n*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 3*a. Suppose -5*k - 2 = -32. Calculate the least common multiple of (1*10 - a)\/2 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, i: 1, f: 3, p: 4, u: 5}. What is prob of picking 4 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2304*d = -2377*d + 292. Let s(x) be the second derivative of -2*x - 1\/57*x**3 + 0 + 0*x**2 - 3\/190*x**5 - 1\/38*x**d - 1\/285*x**6. Factor s(b).\nAnswer: -2*b*(b + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a - 5. Let n be ((-6)\/5)\/((-6)\/20*1). Give g(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.5 + -5. Sort j, 2\/7, -5 in ascending order.\nAnswer: -5, j, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/1909 or 1?\nAnswer: -6\/1909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5034 + -20?\nAnswer: -5054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 6) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 341519935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 2*w - 5*u, -w + 2 = -u + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (130\/(-65))\/((-8)\/(-1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4365\/35 + (-4)\/(-14). Suppose 0 = o + 2*c - k, 0*o + 565 = 5*o - 2*c. Suppose 4*t = -5*l + o, -3*l + 4*l = 3. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 + 8*g - 6. Let s be f(-9). Let d = 3 - 2. Let m = 2.01 - 0.01. What is the closest to d in -1\/10, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12038\/5 - 2408. Let m be (50\/15)\/(21\/(-9)). Which is the third biggest value?  (a) -0.5  (b) m  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1900) + 2*(2 + sqrt(1900))**2.\nAnswer: 90*sqrt(19) + 3808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 353429 * -0.4\nAnswer: -141371.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16\/9 + -10\/9. Is -9 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the third derivative of 0*y - 39*y**2 + 0 + 0*y**3 - 1\/12*y**5 + 0*y**4. Let g(z) be the third derivative of -z**4\/24 + 4*z**2. Calculate g(x(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {z: 2, h: 4, o: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 3*v - 39591 = -13*u, -3*u = v - 23757. Does 120 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 68 - 21250298.\nAnswer: -21250230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1)*(o**0*o)\/(o\/((((o**(-3\/2)*o)\/o)\/o)\/o)*o))\/(o**(-3\/22))**(-12\/5) assuming o is positive.\nAnswer: o**(-641\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 4 = -4*m, 0 = -2*m - 6*g + 2*g + 22 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -182 = 1607*m + 1629*m - 3262*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 PM and 8:59 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -65*k**5 - 8236*k**4 - 5465*k**3 + 41838*k**2 + 16452*k - 22680 = 0.\nAnswer: -126, -30\/13, -1, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -145675, -582728, -1311159, -2330968, -3642155, -5244720?\n\"Answer: -145689*v**2 + 14*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2*j**3 - 6*j**2 + 6*j - 6. Let u(c) = -6*c**3 + 17*c**2 - 17*c + 17. Let r be ((-6)\/(-8))\/(3\/(-24)). Calculate r*u(l) - 17*t(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 2) + (2 - 0). Suppose -r = 4*o - 8, 0 = 5*r - 1 + 21. Let n = o - a. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.3 + -0.1. Let r = q + 0. Let j = 128 - 132. Put r, j, -3 in increasing order.\nAnswer: j, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -4*q. Let v = -44 + 45. Let n(l) = l**2 - l - 1. Let w(c) = 4*c**2 - 6*c - 6. Let b(x) = v*w(x) - 6*n(x). Determine f(b(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 - 9*m + 11. Let w be x(-8). Let l(u) be the first derivative of 18 - 56*u - 2*u**5 + 20*u + w*u. What is the derivative of l(d) wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 786194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*q - 3*w - 132, 10*q = 6*q - 2*w + 52 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 18413, 36828, 55243, 73658, 92073?\n\"Answer: 18415*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.210752ml to litres.\nAnswer: 0.006210752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 892.7655 years?\nAnswer: 89.27655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-12))\/(-1)*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2*y**2 + 6*y + 66. Give u(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -30740956*k*n**3 - 26222*n**3 + 2*n**2 + 2*n + 2 with respect to k.\nAnswer: -30740956*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*s - 76*s + 2394. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 15 = 6. Suppose k*d = 528 - 42. Calculate the greatest common divisor of d and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83974057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together -790.8 and 0.1.\nAnswer: -790.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-50)*(-59680)\/(-1119))\/((-8)\/108)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 + 94 = f. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -10*w**2 - 1565*w - 21844. What is y(-141)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*m**2 + m**2 + 1556332 - 15*m**2 - 2*m**2 - 1556332.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-4)*(0\/32)\/40\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -0.5, 2\/2661, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 754 and 638?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 321 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 861 divide 8452748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -709, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a**3 + 10*a**3 + 4*a**3.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5073302 + -3180290. Suppose -3155012 = 5*y - 3*b, 4*b = 3*y + b + h. What is y rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -343.\nAnswer: 102.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 187 and 833?\nAnswer: 9163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 4285926.\nAnswer: 21429630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 PM and 10:43 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 - 6*f**2 - 6*f - 1. Let l be x(-5). Suppose -o = -l*o + 390. Let p = o + -3. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, o: 2, v: 2}. What is prob of sequence ovv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -152.34 + 0.34. Let u = n - -152.2. Which is the third biggest value?  (a) 3\/7  (b) u  (c) 1\/2  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -405524*i**3 + 432192*i wrt i?\nAnswer: -2433144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -513 - -3037\/6. What is the common denominator of c and (-21)\/30 + 1 + 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 3*f = -22 + 7, 0 = 3*c - f + 5. Let v(a) = -3*a + 5*a + c*a. Let m(x) = -2*x**2 + 105 - 105. What is m(v(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 43e8a8f - -6?\nAnswer: 43e8a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mimtuuimtittimmmbmm. Give prob of picking 1 u, 1 m, and 1 i.\nAnswer: 64\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 46344 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*-1*(348\/(-18) - -20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(128) + -1 - (sqrt(128) + -2)*1)**2 + -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5903 or 5905?\nAnswer: 5905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/((k\/k**(-1\/3))\/k))**(-4\/33))**(-1\/15) assuming k is positive.\nAnswer: k**(8\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s - 9 = 4*s. Suppose -s*n - 43 = 4*x + 72, 0 = 3*n - 4*x + 155. Let z = 167 + n. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**1)\/o)**11\/(o**(-1\/2)\/o*o*(o*o\/o**(1\/7))\/o) assuming o is positive.\nAnswer: o**(149\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 20\/5509 and -99\/6296?\nAnswer: 44072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*g - 34*g = 5. Suppose -g*c = -0*j + j - 14, -10 = -5*j - 5*c. List the prime factors of j\/(1 - 4\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q**2. Let c(v) = 3*v - 18. Let g(h) = h - 5. Let l(i) = -5*c(i) + 18*g(i). Determine r(l(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -11*q + 15. Determine o(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 833 and 4629593.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 256\/665 - 10\/25. Let d = x + 40\/133. What is the nearest to 0 in d, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 + 13*q**2 + q + 13. Let d be g(-13). Suppose -5*k + d*k - 113 = -u, 0 = u + k - 107. What is the greatest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 443, 1024, 1621, 2240, 2887, 3568, 4289?\n\"Answer: g**3 + 2*g**2 + 568*g - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 + 10*j**2 - 10*j + 7. Let h be b(6). Let y = h - 65. Let v = y - -20. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -175 - 4051162?\nAnswer: -4051347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 - 13*w**2 - 5. What is u(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3468155 centuries in years?\nAnswer: 34.68155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 23*m**3 + 39*m + 23*m + 7*m**2 - 13 + 31*m + 6*m**2 - 78*m. Let h be 2\/(-1)*3\/1. Let s(p) = -11*p**3 - 6*p**2 - 7*p + 6. Determine h*r(b) - 13*s(b).\nAnswer: 5*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2422 take away -511?\nAnswer: 2933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 59, 192, 397, 674, 1023, 1444?\n\"Answer: 36*l**2 + 25*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bobb when four letters picked without replacement from {o: 2, b: 1, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of i**6\/324 + 7*i**5\/540 + i**4\/54 + 16*i**3\/3 + 28. Let n(q) be the third derivative of u(q). Let n(y) = 0. What is y?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express i**3 + 76 - 2*i - 76 - i**2 in the form d*i + t*i**2 + f*i**3 + s and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 73, 1\/33, 2\/11.\nAnswer: 1\/33, 2\/11, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -17*l - 155. What is the remainder when z(-12) is divided by (-48)\/(-3) - (-2)\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4701\/12)\/((-2)\/8) - -2. Calculate the common denominator of 2 - (-1 - m\/15)\/8 and -53\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4355005 divided by 4.\nAnswer: 4355005\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 25\/(497\/(-168) - 3\/(-1)). Calculate the lowest common multiple of -2 + 0 + 1 - d\/(-8) and 20.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*v - 3*h + 2*h = 9, 3*v - 7*v + 0*v + 36 = -4*v - 4*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -42*t - 6. Let j be c(2). Round j to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29.052 + 32.052. Let m = 0 - -1. Let p = -3\/5 - 0. Sort p, r, 1\/6, m in descending order.\nAnswer: r, m, 1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-1 - -17) - (-3 - -11 - 16).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 120 + 995*m**4 - 61 - 59 + 0*m**2 + 0*m**2 - 3*m**4 + (1 - 5 + 3)*(-2*m**4 + 0*m**2 + 0*m**2) as v*m**4 + g*m**2 + b*m**3 + y*m + f and give v.\nAnswer: 994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, 5, 2, -83 in ascending order.\nAnswer: -83, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.049*1.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 20, 274, 944, 2216, 4276, 7310?\n\"Answer: 31*c**3 + 22*c**2 - 29*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w**2 + w - 21. Determine d(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 3*l - 1756, 0 = 4*g + l + 3*l - 1760. What is the remainder when g is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 343*o**2*r + o**2 + 2*o*r**2 - 5332*o - 10*r**2 + 842287*r wrt o?\nAnswer: 686*o*r + 2*o + 2*r**2 - 5332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0  (b) 5\/3  (c) -1427\/3  (d) -1.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u - 17. Let f be 1\/(-5) + 112\/35. Let h be f\/9*(4 - -2). Let n(a) = -2. Let x(k) = h*l(k) - 18*n(k). Differentiate x(d) with respect to d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4568?  (a) 2  (b) 0.1  (c) 3  (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-42)\/70 - (-171)\/135. What is the nearest to f in -0.07, -3, -3\/4, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -11*d**2 + 148*d + 4. Let t(n) = 32*n**2 - 518*n - 13. Let a(v) = -7*s(v) - 2*t(v). Let m(k) = -6*k. Give m(a(x)).\nAnswer: -78*x**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -4*i**3 + 95*i**2 + 185*i + 5. Give p(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/(-5))\/(19\/380). Let q be (t\/7)\/4 - (-4)\/14. Solve q*w = -r - w - 6, 2*w = -4*r - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 685*o**6 + 229*o**2.\nAnswer: 82200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 334*a - 0*w + 5*w + 6037, -4*a - 10 - 77 = -101*w + 104*w for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, t: 14}. What is prob of picking 3 t?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -63*n - 1019. Give i(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 4*s + 12 = 0, 3*u - 919*s - 24 = -922*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (140*(-29)\/(-198360))\/(49\/28)?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -41*f**5 + 3*f**2 + 99*f wrt f?\nAnswer: -820*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 2*f - 4 = 0. Suppose 4*x - f*w = 252, 0 = -3*x + 3*w - 6*w + 183. Is 28 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 133*l + 6058. What is p(-46)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x**2 - x**2 - x**2 + (-5 + 5 - x)*(-1 - 2*x + 1) + 6*x**2 - 12*x + 12*x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*d + 16*d + 30 = 0. Let q(p) = p**2 + 1. Let i(j) = j**2 + 2. Let w(u) = -i(u) + 2*q(u). Give w(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -10, -44, -102, -184, -290, -420, -574?\n\"Answer: -12*c**2 + 2*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 198 - -176. Suppose -p = -r - 90. Is 16 a factor of p\/11 + 2\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -4*f - 3*i + 228, 5*f = -2*i + 283. Does 28 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + (sqrt(13)*1*-6)**2 - (-5 + (sqrt(26)\/sqrt(2) + sqrt(13))**2)) + (2*sqrt(13) + -1)**2 + -4.\nAnswer: -3*sqrt(13) + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10120 - -211222011?\nAnswer: 212002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 99\/87160 and -9\/174320.\nAnswer: 174320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l - 3. Let c be m(6). Solve -c*r = 4 + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 419 = z + 124. Let g = z - 195. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40836\/34030 - (-311)\/(-5).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (2 - (6 + -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*l = 39*l + 36*l - 10896. Does 52 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4081.151 decades to months.\nAnswer: 489738.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 AM and 2:54 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*t - 21 = 15*t - 3*b, 5*t - 2*b + 33 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13877*a*r**2*z + 2746865*a*r**2 + 4401*a*r*z + 6*a*r - a*z wrt z.\nAnswer: 13877*a*r**2 + 4401*a*r - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -744*j = -652*j + 1840 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 16731 divided by 15?\nAnswer: 5577\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(3*(3 + -2*sqrt(153) - (-1 + sqrt(153)*1) - (-1 + sqrt(153) + 0 + (sqrt(153) - (1 + -1 + sqrt(153))) + sqrt(153))))**2.\nAnswer: -103950 + 4050*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29.6, 4, 0.05, 3, 2 in ascending order.\nAnswer: 0.05, 2, 3, 4, 29.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -22 + 33. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -45615 < -45673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 5*c - 4*j = -8, -3*j - 6 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-4) - -2)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4651432?\nAnswer: 2, 581429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 170749811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 42\/307 + -13091\/3684. What is the common denominator of q and 7\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 14  (b) -16  (c) 1\/6  (d) -0.62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -269 - (-93 - (-61 - -114))\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0\/3)\/((-2)\/1). Suppose 5*t + u*l = 4*l, 2*l = t. Let b be 2 + t*2\/(-2). Solve 0*v - b = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - -5. Let m(x) = 8*x. Is 12 a factor of m(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 - 8*y - 11. Let f be z(10). Let d be (3\/f)\/((-4)\/(-60)). Which is the second smallest value?  (a) 0.5  (b) 1  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -4*y + 5. Let d = -14 - -16. Suppose d*o - 9 + y = 0. What is the remainder when o is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74 divided by -2.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*m - 0*m. Let c be (-1)\/2*(m - 51). Let r = -9 + c. Solve 3*g = -4*s + 23, -6 = 5*g - 5*s + r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (0 - 2)\/((-112)\/1674568) - (-2 + -2)?\nAnswer: 3, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 0.4  (c) 106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*x = -214 + 808 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -181311*j**3 + 31*j**2 + 137*j + 6 wrt j.\nAnswer: -1087866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2376\/(-60) - (-1 - (-14)\/10). Let t = s + 40. Put t, -4, 7 in descending order.\nAnswer: 7, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*b - 124*b = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2ca3137 (base 13) in base 12?\nAnswer: 49a6292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/5  (b) 217  (c) 2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*m = -14*m - 3680. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 10*l - g - 3053, 3*l - 3*g - 1311 = 0. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-72)\/(-368064)*710)\/((-10)\/(-16)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 0 = -j. Let w(i) be the first derivative of -i**4\/4 - 4*i**3 + 5*i**2 + 3*i + 42. Let p be w(j). What is p rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9001.632 kilograms to grams.\nAnswer: 9001632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 205 and 211 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2121547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/136 and -113\/80?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b + 1. Let c(h) = -151*h + 10. Let o(r) = c(r) - 5*j(r). Let x be 4\/(-14) + (-36)\/21. Is o(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37\/3 - 12. Let j = 6.39 + -4.39. Let v be (-8)\/16 + 1\/(-2). Which is the nearest to y?  (a) j  (b) v  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -166?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 - 9. Suppose -f*t + 13 = 4. Find the first derivative of 0*g**2 - 2*g**2 + 0 - t wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - f = 91, -2*f - 2*f - 229 = -5*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - q = r + 14, 5*r + 45 = -5*q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3605978594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1299 is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 139761220558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/2*-1*(-22)\/33. Solve 3*y = -5*x + 3, -l = -5*y + 4*y - x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -472617 divided by 3089?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 + 18*j - 37. Let u be f(15). Does 3 divide (1\/4)\/(u\/2752)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15 in -3.4, 27, 3?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h**4 + 15*h**3 - 930*h**2 + 4080*h - 3168 = 0. Calculate h.\nAnswer: -22, 1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*s - 35*s + 120 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -405466*k**3 + 12*k**2 - 8630.\nAnswer: -2432796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 10 + 318*d**2 + 7*d - 22*d - 319*d**2. What is the units digit of q(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -16123, 3, 4, -4, -3, 5, -2 in descending order.\nAnswer: 5, 4, 3, -2, -3, -4, -16123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -1317311\nAnswer: -2634622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -13 + (-2 + 11 - 36) + 0.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -330952, -661892, -992832, -1323772?\n\"Answer: -330940*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of z**8\/28 + z**5\/20 - 2*z**2. Find the third derivative of l(y) wrt y.\nAnswer: 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (-35)\/3)\/(1218\/(-1764) - (-40)\/112)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 12:10 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(136) + (sqrt(136) - ((sqrt(136) + 5*-3*sqrt(136) - sqrt(136)) + sqrt(136))) - sqrt(136)) + sqrt(136)))\/(sqrt(64)\/(2*sqrt(288))).\nAnswer: -384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 962 + -962. Let d(o) be the second derivative of 0 - 1\/15*o**5 + k*o**2 - 2\/9*o**4 + 0*o**3 - 49*o. Factor d(y).\nAnswer: -4*y**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 14*h**2 + h. Let i be y(1). Suppose -4*r = -i*r + 33. Calculate the remainder when 5 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 131, 174, 195, 194, 171, 126?\n\"Answer: -11*i**2 + 76*i + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(100) - (-4*-2*sqrt(100) - sqrt(100)) - 1*sqrt(100)*4)\/(-2*sqrt(320)*6).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 40, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/5  (b) 1493\/145  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-46)\/(-184))\/(-2 + 377\/188) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1069, -5, -39, 8, 1, 7, -3 in decreasing order.\nAnswer: 1069, 8, 7, 1, -3, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**3\/9 + 52*g**2\/9 - 98*g\/9 + 16\/3.\nAnswer: -2*(g - 24)*(g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 0.3  (c) 1\/3  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 896 and 33056.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -12 + 5 + 7 + q**2 - 39*q + 12*q in the form x + s*q + u*q**2 and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 109, 253, 457, 721?\nAnswer: 1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 - 11. Let j be 2 - (-1 + 68\/20). What is the closest to j in -2, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 38690927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -0.1, -2, 35\/59, 2\/5, -4, 2, 31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*g**3 - 3133*g**2 + 12520*g\/7 - 1788\/7.\nAnswer: (g - 447)*(7*g - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 604 a factor of 256096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -6*b - 4. Let a(w) be the second derivative of 7*w**3\/6 + 5*w**2\/2 + 28*w. Calculate -4*a(l) - 5*c(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*u + 62292 - 62292.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 2*k = -4, -40 = -1428*j + 1426*j - 4*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4606.689 centuries in years?\nAnswer: 460668.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*w, -4*z + 2*w = -0*w - 16. Suppose z*c = -3*c + 30. Let n be 0 - (-1 + (-4)\/c). Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 7) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes after 2:05 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/(48\/8)*3\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/4 + (-418)\/(-88). Suppose -3*s + h = -6*s + 2452, -5*s + 2*h = -4105. Suppose 0 = -z*g - g + a + s, 3*g + 2*a = 481. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 9. Which is the second smallest value?  (a) -5  (b) -1  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*f = -7*f + 182*f + 1650 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z**4 - z**3 + z**3 + (-4*z**3 - 3*z**3 + 6*z**3)*(25*z + 0*z + 4 + 25*z).\nAnswer: -52*z**4 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2033 - -2057. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2127156 = -19*g + 328*g. List the prime factors of g.\nAnswer: 2, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, i: 14}. What is prob of picking 2 i?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express ((35 - 8 - 10)*(25*f + 25*f - 12*f) - f - 5*f + 4*f)*(-4 - 1 + 3 - f**2) in the form v*f**2 + w + m*f + s*f**3 and give m.\nAnswer: -1288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c + 4 + 14 = 0. Suppose 2*u = 5*h + 4, -c*u - 4*h = -9*h - 11. Solve 5*x - 4*m + 6 = 0, -5*x + 3*m - u = -0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 6:00 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 4950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*z - 9. Suppose -z*i + 22 = 2*g + 2, 0 = g + 4*i - 10. What is the least common multiple of (-19 - -4)*1\/(-3) and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - (0 - (-3 + 1)). Suppose t = -2*c + 89 - 13. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3 + 53*k**2 - 775*k + 1875.\nAnswer: -(k - 25)**2*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -138*o**4 - 645553*o**2 + 2*o**3 + 645553*o**2 - 6 as w*o**2 + d*o**4 + i + u*o + q*o**3 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2ce + -3?\nAnswer: -2d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -13272 divided by -4?\nAnswer: 3318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 285157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 - 21*p - 56. Let y be o(-18). Let c(l) = -l**2 - l + 4. Let k(j) = -5*j**2 - 3*j + 17. Let r(b) = y*k(b) + 9*c(b). Determine r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hppttppmp. Give prob of sequence hm.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2*d**2 + 13*d - 12. Let s be f(7). Let q = s + 25. Suppose 0 = 2*v + v - q. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 2 + (-5*sqrt(14)\/sqrt(2)*-5 - (sqrt(70)\/(sqrt(10)*2) + sqrt(7))*-5)**2.\nAnswer: 29599\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 525*p**4 - p**3 - 2*p**2 - 7*p - 22?\nAnswer: 12600*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -506 and -2537\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.9 plus 0.13?\nAnswer: 25.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of -14077*s**5\/60 + 21*s**2 + s + 43. Let f(u) = 2*u**2. What is f(x(d))?\nAnswer: 396323858*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, p: 6, s: 2, g: 1, y: 5}. What is prob of picking 4 y?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 11 = -7. Suppose -695 = -y*b + 1651. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -422, -835, -1230, -1601, -1942, -2247, -2510, -2725?\n\"Answer: i**3 + 3*i**2 - 429*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (2 + sqrt(304))*1.\nAnswer: 5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 285523034*u**4 - 585356800*u.\nAnswer: 3426276408*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 9*p**2 - p. Let l be r(1). Suppose i - l = -4. Suppose -2*c - i = 2*k, -2*k = -4*k + 5*c + 24. Solve -j - k = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 16) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a minute in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2640129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 1)*((-6*h + h + 3*h)*(3*h**2 - h + h) + (3*h**2 + 0*h**2 - 2*h**2)*(0*h - h + 2*h) - 5*h**3 + 35*h**3 + 65*h**3).\nAnswer: 270*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - -150cb58?\nAnswer: 150cb5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 67*f*j**3 + f + j**4 - 138*j wrt j?\nAnswer: 402*f*j + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 5*k - 14, 3*s - 3 = -2*s - 4*k. Suppose -4*m = -3*u - 1, -4*u - 2*m - 19 = u. Is u\/(12\/(-856)) - s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*a**6*q - 19*a**4*q**3 + 219*a**2*q**3 + 2*a**2 wrt a?\nAnswer: -360*a**3*q - 456*a*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 0*z + 0*z)*(70333 - 70333 - 355*z)*(3*z**2 - 2*z**2 + 3*z**2).\nAnswer: -2840*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of -491*q**2\/2 - 1906. Let k(y) = y. What is g(k(t))?\nAnswer: -491*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*g**4*z**2 - 70*g**4*z + 3*g**2*z**2 + 170*z**2 - 2*z - 12 wrt g.\nAnswer: -216*g*z**2 - 1680*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the third derivative of -i**5\/60 - 47*i**4\/24 - 38*i**3\/3 - 59*i**2 + 1. What is the units digit of c(-23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -23*s - 186. Let b be q(-8). Calculate the common denominator of b\/175*7*590\/24 and 22\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 899*f - 27074 - 2593 = 0 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 2*b + 7900002, 5*k = 3*b + 7729147 - 27479144. What is k rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -48374.022 - 307.015\nAnswer: -48681.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/123?  (a) 1  (b) 3\/4  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 461514*g**5 + 23829*g**2 + 11 wrt g.\nAnswer: 27690840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -1, -3955467 in decreasing order.\nAnswer: 11, -1, -3955467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1319, 10356, 34815, 82406, 160839, 277824, 441071?\nAnswer: 658290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 7355 times 5171\nAnswer: 38032705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -26574 or -26573?\nAnswer: -26574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 divided by -119?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 111751976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 126356 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 x(h) = 156*h + 1259. Let u be x(-8). Solve -29 = -u*i + 48 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a + 20. Let b be x(-17). Suppose 5*y - 10 = -b*q, 2*y = 2*q - 9 - 3. What is the lowest common multiple of 25 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*z - 20*z = -2*c - 14, 3*z - 24 = -4*c. Let u = -6 + 8. Solve -n - 4 = -4*a, z*a + u*n = 6*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -4*k**2 - 27*k - 5. Let c(x) = x**2 + x - 1. Let g(d) = -19*d**2 - 157*d - 37. Let q(r) = -6*c(r) + g(r). Let i(s) = 6*q(s) - 34*y(s). Factor i(f).\nAnswer: -2*(f + 4)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -24 - -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 62 - 61.9. Let u be ((-8)\/(-90))\/((-2)\/(-10)). Which is the third smallest value?  (a) u  (b) y  (c) -4  (d) 2\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -17\/5 in -0.5, 1\/24, -3.1, 2, 1\/3?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 + 2*x + 82. Give g(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 + 17*r**2 + 3*r - 2. Determine x(17).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 4*z**3 - 2*z**2 + 10*z + 9. Let t = -13 - -46. What is the remainder when i(3) is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 - (9 - 1)\/(-1). Suppose -5*o + 22 - 2 = 0, -3*t - o + 16 = 0. Suppose 2*w = -3*w, t*w = f - 24. Solve 3*g = 3*d, -c*d - g - f = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -60.142 - -60. Round j to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3 is divided by ((-6)\/24*4)\/((-1)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -37, -676 in increasing order.\nAnswer: -676, -37, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 3. Let n(z) be the second derivative of 26*z - 1\/6*z**3 - 3\/2*z**2 + 0. What is -3*c(p) - 3*n(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 - ((9 - 20) + 12). Solve 4*d + 2*v = 16, -v + 4 = 2*d + g*v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 AM and 1:45 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + x - 30 = 0. Suppose t - 33 = -4*v, -2*t - v + 2*v + x = 0. What is the tens digit of (2 + 3)\/(1\/t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/4 and 49\/4137248.\nAnswer: 4137248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = -0*d - 5*t + 19, -d = t - 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/4)\/((c\/(c*c**(5\/6)))\/c))\/(c**1\/c)**(-38)*(c**5\/(c**(1\/4)*c))**(8\/3) assuming c is positive.\nAnswer: c**(145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c - 4*c**3 + 6*c**3 + 42764*c**2 + 984*c**2.\nAnswer: 2*c**3 + 43748*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 + 5*n - 5. Let k be f(4). Let g be (27\/(-36))\/(k\/(-8)). Let t(b) = b**3 - 5 + b + 1 + 6*b**2 + 4. Give t(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 9 - 19. Let g(l) = l + 7. Let v be g(z). Let n(r) = -r - 5. What is n(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 53 * -0.198339\nAnswer: -10.511967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2125 + 2449. Calculate the highest common factor of 288 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 52169*h + 52168*h + 10 = 0, -5*a = -244*h + 986 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.7 - 0.7. Let x = w - 9. Let h = x - -4.4. What is the biggest value in 0.1, -1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3473.060945 + 3473. Round k to three decimal places.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1206 - 54866629.5.\nAnswer: -54866629.6206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from qflvt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 - 43*y - 134. Let c be z(23). Let x = c + 618. Solve 14 = 5*t + x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*c - 112 = -0*c. Suppose 0 = c*h + 33*h + 41. Is h greater than or equal to 6\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 + 22 + (1 - (8 - 78)\/(-5))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yycctdvcc. What is prob of sequence vt?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 4:32 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 + d**2 + 2*d + 1. Let a be ((-1)\/2)\/(9\/18). Give q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1 + -0.3. Let j = 0.52 - 0.5. Let m = j - -0.08. Which is the second smallest value?  (a) -3  (b) z  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(360)*4)\/sqrt(6)*4)\/(sqrt(24)\/(sqrt(8)\/sqrt(4)) + sqrt(108)\/sqrt(225)))**2.\nAnswer: 8000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-72))\/((-40)\/(-320)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4*x - 74, o + 3*x - 277 = -3*o. What is the greatest common factor of 910 and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17447, 17422, 17391, 17354, 17311, 17262?\nAnswer: 17207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45, 89, 135, 183, 233, 285?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 56222122 and -17.\nAnswer: -955776074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of -681496 and 0.3.\nAnswer: -681495.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6822354 and 1407?\nAnswer: 457097718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aean when four letters picked without replacement from {n: 2, e: 1, a: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -873, 28, 2 in descending order.\nAnswer: 28, 2, -873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4769701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -416 - -1036. List the prime factors of s.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 3\/2*r**3 + 0*r + 0*r**2 + 3\/2*r**4.\nAnswer: 3*r**3*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-6)*b**(-1\/6))**(2\/9))**(-20\/11) assuming b is positive.\nAnswer: b**(740\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**32\/(p*p\/(p**(16\/9)*p)*p) assuming p is positive.\nAnswer: p**(286\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnonnnnnnnncnmmnoc. What is prob of picking 1 o and 2 n?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 551 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*t + 31 - 6 + 35 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -3*c**3 + c**2 - 4*c + 5. Let n be s(-5). Suppose 7*t - 2*t + n = 5*r, 0 = -5*t. List the prime factors of (2 - -4)\/(10\/r).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -3*l**2 - 1. Let v be p(-1). Let d(n) = n**2 + 4*n + 6. Let b be d(v). Is 5 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 150*l - 33 wrt l?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*l - 2*l + 2 - 2 to q*l + f and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*l**2 + 8*l**2 - 37*l + 46*l - 5*l**2 as i*l**2 + g + j*l and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 480891, 480903, 480933, 480987, 481071, 481191?\nAnswer: 481353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1531 + (9 + -11 - (2 - 0))?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -3 + (-17 - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.1, -8, -4\/7, -0.2, -0.01, 1\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 322 - 227. Let q = 4346 + n. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1848309, -1848327, -1848343, -1848357?\nAnswer: -1848369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 106, 180, 264, 358, 462, 576, 700?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q. Let x be 39\/9 - (-2)\/3. Let s be (-10)\/3*(-6)\/x. Calculate i(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - 6) + (-4 - -2). Let x = w + 5. Let i = 1 + x. Solve i = -2*q - 4*s - 10, 6*q = q + 3*s + 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 38096970*s**2 + 13607756*s.\nAnswer: 76193940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1459?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 + 115*h**2 - 4*h - 502. Determine x(-115).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -45.91 * -0.3.\nAnswer: 13.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 831008244 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 5*p = -24, 5*d - 3*p - 4 = p. Suppose -x = d*x. Let k(f) be the third derivative of -f**6\/120 + f**3\/3 - 424*f**2 + f + 5. Give k(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fjffffjfffjffff. What is prob of picking 2 f?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -8*f**2 + 20*f + 20. Suppose 12*c + 40 = 11*c. Let g(j) = -j**2 + 3*j + 3. What is c*g(m) + 6*y(m)?\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 13339069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5472026621?\nAnswer: 5472026621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-1093.9.\nAnswer: 437.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 249144251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -704215437\/126328 + 1\/126328. Let h = l - -200639\/36. Find the common denominator of 17\/48 and h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111111100 + 110100111001?\nAnswer: 1000100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of -u**7\/70 - 7*u**6\/120 + u**5\/60 + 35*u**3\/2 - 223*u**2. Find the third derivative of o(l) wrt l.\nAnswer: -72*l - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 7, c: 6}. Give prob of picking 4 b.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2106 + -2105. Which is the biggest value?  (a) f  (b) 4.99  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-88294516*f - 348*f**2 - 1 + 88294516*f)*(0*f - 3*f + 2*f).\nAnswer: 348*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, 67180, 0.3?\nAnswer: 67180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*l**4 - 14699*l*w**3 - 13*w**3 - w**2 - 1144 with respect to l.\nAnswer: 20*l**3 - 14699*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -n**2*r + n*r + 709195*n + 29276151*r wrt n?\nAnswer: -2*n*r + r + 709195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 9*q + 3. Let d(b) = -b + 1. Let n(v) = -2*v - 3. Let f(o) = 2*d(o) + n(o). What is 13*f(t) + 6*y(t)?\nAnswer: 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 213 divide 50683033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 1:59 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2*d**2 + 1)*(8 - 3 - 62*d + 64*d) to z + h*d**3 + l*d + b*d**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 2*c = d - 36 - 52, -2*d + 29*c - 1183 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9516 + 1532070\/161. Let m = -4961\/805 + y. Is -7 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32776682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 14 + 2*u + 612*u**3 - 621*u**3.\nAnswer: -9*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -4. Suppose g = v*g. Solve g*w - 12 = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 136374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 AM and 5:26 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -421 - t + 1764 - 548 - 401 - 394.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 6\/11  (c) 11  (d) -7\/9  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25 + 18. What are the prime factors of j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -74794, -74728, -74662?\n\"Answer: 66*x - 74860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 664*v**2 + 3*v + 37?\nAnswer: 1328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/13, -1.9, -0.4 in decreasing order.\nAnswer: -2\/13, -0.4, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 202298549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*k = 11*k - 5*v - 7, 0 = 8*k - 4*v - 32. Calculate the smallest common multiple of k and 758.\nAnswer: 2274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*f + 4*z + 23 = 83*f, -3*f = 2*z - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000010111 + 1?\nAnswer: 1000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 98675 + -6.9.\nAnswer: 98668.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -30*c + 114265 - 115285 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1571 + 1569. Sort 1, v, -65.\nAnswer: -65, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 4*r + 15 = 0, -12 = x - r - 7. Let n(v) = v**3 + v**2 - v - 1. Let a(c) = -16*c**3 - 8*c**2 + 8*c + 8. Determine x*a(h) - 8*n(h).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8424 is divided by 109.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t**2\/2 + 485*t + 1387500 = 0. Calculate t.\nAnswer: -1250, 2220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 AM and 1:36 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1129 divided by 474471?\nAnswer: 1129\/474471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -70656, -70669, -70704, -70773, -70888, -71061, -71304?\n\"Answer: -2*a**3 + a**2 - 2*a - 70653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 853120813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -998, -1989, -2992, -4013, -5058?\nAnswer: -6133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**4\/2 - 91*l**3 - 1953*l**2\/2 + 405*l.\nAnswer: l*(l - 45)*(l + 9)*(5*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ntonnnnottxontnnd. What is prob of picking 1 x, 1 n, and 1 o?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 + 14. Let g be (-14 - -8)\/(12\/v)*-2. Solve -g = -4*i + 5*l, -4*i - 7*l + 3*l - 12 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = h - 66. Let d = -11 + 39. Suppose 0 = -2*w + d - h. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -7*p - 105. Let n be 309\/p - (-6)\/(-15). What are the prime factors of 11\/((-66)\/20)*n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1577 = 164*n - 237*n + 1124 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -97 + (-82 - -186) - (-2 - 128\/(-14))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100100 (base 2) to base 5.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 o, and 1 v when three letters picked without replacement from {b: 1, d: 1, v: 4, p: 3, o: 4}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 - 3*z - 2. Let n(f) = -2*f**2 - 7*f - 5. Let s = 95 - 88. Suppose -6*j = -7*j - s. What is j*o(a) + 3*n(a)?\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 + 1. Let g(s) = s**3 + 2*s**2 - 23. Give -g(q) + 2*r(q).\nAnswer: -q**3 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -10*q. Let x(f) = 2*f - 5. Let l be x(6). Suppose c = l - 8. What is the tens digit of w(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 117 + -22. Suppose -3*c + 8*c - r = 0. Let a = c - 9. What is the greatest common divisor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q - 220 = 3*q. Suppose 0 = 4*u - 4*x - 44, 15 = u - 4*x + 1. Calculate the remainder when (q - 1) + 2 + 2 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 5771, 11533, 17295, 23057, 28819, 34581?\n\"Answer: 5762*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 18\/4 - (-7)\/14. Suppose -4*z - x + 13 = 2*x, 0 = -2*z - 2*x + 6. Solve -15 = z*n + q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -34?  (a) -3  (b) 1\/5  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-9528)\/(-202470) + (-356)\/14790\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -171a77 + -379?\nAnswer: -172234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 299, -3\/4, -0.39, 2\/217, 0.5, 0?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2481341 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 399808059 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - -3)*(-6)\/12. Is (o - 3\/(-1)) + 22 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*o + 5*o**2 + 48*o.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/2 - 4\/(-2)) + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 - (20 - (8 + 3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xhnhxxhhxhhnxnhxh. Give prob of sequence nhh.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.16 + 5.46. What is the nearest to 0.2 in k, 2, 0.02?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h + 1 - 2*h**2 - 2*h + 2*h + 3*h**2 to the form w*h + c + d*h**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1042, 2714, 4384, 6046, 7694, 9322, 10924?\nAnswer: 12494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - -8. Calculate the remainder when b is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17b5 (base 12) in base 11?\nAnswer: 2182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 253 - 447 + 2*a + 3*a - 517.\nAnswer: 5*a - 711","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*c + 13*c + 8*c - 9*c to the form g*c + z and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 9, e: 3, c: 4}. Give prob of picking 2 e and 1 c.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-9)\/24)\/(6\/4))\/((-16)\/(-832))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, i: 1, v: 2, h: 7, d: 2, n: 1}. Give prob of sequence ii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (162\/(-2187))\/(-2*(5\/90 + 0)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 8*o**2 + o - 1. Let t be (3\/(-9))\/(2\/(-12)). Suppose -j + 28 = 3*j + t*b, -j = b - 9. Suppose -5*z = -5*q - 15, -5*z = j*q - 11 - 14. What is c(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -8\/45 and -97\/70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/(-35) - (-60)\/14. Let a be (-4 - -1) + (-4)\/m. Put -5, 0.09, a in descending order.\nAnswer: 0.09, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/9?  (a) 3  (b) -2\/7  (c) 45  (d) 0.04  (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k + 3*v + 5, -v - 4 = -4*k + 15. Suppose 0 = -5*r + 2*f - k*f + 12, 0 = 4*r + 4*f. Solve -r*u + 3*l = -16, 2*u + 3*l = 9 - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**4 + 3*u - 3*u + (-2 - 2 + 3)*(u**3 - u**3 - 2*u**4))*(5*u - u - 2*u)*(-3 + 6 - 2).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -9*b**3 - 5*b + 5. Let a(t) = 13*t**3 + 7*t - 7. Let r = 51 + -27. Let j be 25\/3 + r\/(-18). Determine j*z(h) + 5*a(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1495*a + 241*a + 32*a.\nAnswer: -1222*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from wwbwbvibivvwiww?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11273 = 4*h - 3*y, -3*y + 1394 = h - 1413. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + x + 15 = 2*l, 0 = 4*l + 5*x - 20. Suppose -l*a - 3*u = 13, -2*a - 3*u - 6 = -u. List the prime factors of 1168\/28 - a\/7.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.9, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppt when three letters picked without replacement from {t: 1, w: 7, p: 10}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 795, 3178, 7155, 12732, 19915?\nAnswer: 28710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in fifty-four fifths of a microsecond?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1 - 26)*872\/(-10).\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 + f**2 + 4*f + 9. Suppose -4*l - 8*z + 29 = -19, 9 = 2*l + z. Let s(u) = u**3 - u**2 - u + 1. What is l*s(g) + j(g)?\nAnswer: g**3 - g**2 + 2*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-7 - -7)*((-35)\/(-10) + -4). Let f(d) = 4*d - 3. Let v be f(2). Suppose j = v*x - 1 + 11. What is x rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -6*v - 16. Let n be w(-8). Let d = 27 - n. Put d, 0, -2, 4 in descending order.\nAnswer: 4, 0, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q - 29. Let r be i(-11). Let f = r + 51. Is f at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 4:59 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 26\/3*3 + 1. Let r = -56282 + 56285. What is the greatest common factor of o and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of w**8\/448 - 43*w**7\/840 + 53*w**6\/480 - 13*w**5\/240 - 107*w**2. What is o in s(o) = 0?\nAnswer: 0, 1\/3, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {n: 3, g: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -586.6 + 586.6014265. Round m to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/145?  (a) -0.1  (b) 0.5  (c) 2  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) -14138  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/100)\/(12\/15)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 43*k + 99769 - 2*k**2 - 109386 - 43*k as u*k**2 + l*k + h and give h.\nAnswer: -9617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1142 by -571.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -23 + 30. Suppose -s + w = 2*o, s - 19 = -6*o + o. Calculate the smallest common multiple of 5 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 4*l**2\/7 + 570228*l + 15966320\/7 = 0.\nAnswer: -997895, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 127 - 129. Is (-3 + (22237 - 1))*i\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 8 = 2*q, 64 - 42 = j - 4*q. Solve 2*g + j = -2*d, 10*g + 19 = 11*g - 3*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 123*s + 1149. Calculate the remainder when 2160 is divided by n(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 - 5*c**2 + 2*c + 4. Let l be z(5). Let p = -4 + l. Calculate the remainder when 27 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 33*r - 36*r - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 5*f + 96, -25 = -c - f + 83. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14 and 63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, q: 2, h: 1, k: 1, r: 1, w: 1}. Give prob of sequence qqr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 308 (base 9) to base 13.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, p: 2, d: 4}. Give prob of picking 1 v, 1 p, and 2 d.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11\/42 + 2\/21. What is the nearest to 5 in -2\/17, -2, x?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/3*r**3 + 0*r**4 - 2\/3*r**5 - 2\/3*r + 0*r**2 + 0.\nAnswer: -2*r*(r - 1)**2*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 3*y + 51 = 8*d, 2*y - 54 = -5*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -16*d**2 - 16. Let a(b) = -b**2. Give z(a(k)).\nAnswer: -16*k**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 16  (c) 2\/13865\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.626 + -273.626. Let k = -250 - t. Which is bigger: 2\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 670.5 and 5.\nAnswer: 3352.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + -140?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1157226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 989292.5 hours in seconds?\nAnswer: 3561453000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of -h**3\/3 - h. Let q(v) = -12*v. What is n(q(b))?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 859 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mcot when four letters picked without replacement from cootoctecm?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -1248198 less than -1248198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -789, -1622, -2457, -3294, -4133, -4974?\n\"Answer: -t**2 - 830*t + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4049043.707 rounded to the nearest one hundred thousand?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1478158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 45 = 3*h, 2*h - 4*t + 11 = 31. Solve -12*o = -8 - h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.2  (b) -1\/2  (c) -12.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2371*m - 1416*m + 3783*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -977*b**3 + 2538*b**3 - 770*b**3 - 788*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (1 + -98)) + 156 + (32 - 178)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60871254 divided by -10145209.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*g*u**2 - 36350992*g*u + 53037551*g wrt u.\nAnswer: -4*g*u - 36350992*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -42*i - 126. Let v be h(-3). Let k be (-2)\/(((-1)\/(-6))\/(-1)). Suppose 6*p - 12*p + k = v. Solve 4*d = p*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 30227416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2316, 2586, 2856?\nAnswer: 3126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*2*(-2 + (-4 + sqrt(192) + 1 - sqrt(192)) + -3 + sqrt(192) + sqrt(192)*2)*-5 + 5 + -1)**2.\nAnswer: -969600*sqrt(3) + 4483216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 79062, 33, -1\/2, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 531 and 1593.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -30633 (base 9) in base 3?\nAnswer: -1000201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*p**2 - 3*p**3 + 0*p - p - 2*p**3 + 34 - 36 in the form g*p**2 + c*p + m + b*p**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2 + 6*t - 4. Let s = -3 + -4. Let b be j(s). Suppose b*z = 4*m - 7 - 11, -z = -3*m + 11. Solve 4*h + m*w = -23, 0*w - 4*w = 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23809 - 9801. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.048mg in micrograms?\nAnswer: 2048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/5)\/((-4)\/(56\/(-6)))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22 + -20. 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 the common denominator of 119\/6 and 31\/11544.\nAnswer: 11544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 3*c)*(4*c + 2*c + c).\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1237 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: Solve 12*y - 18*s = 15*y - 14*s - 10, 0 = 22*s - 42 - 112 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*w + 7*c + 4, 5*w = -253*c + 250*c - 42 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-187624)\/1960 + 4\/10. Let a = 164621\/392 + p. Let d = a + -325. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k - 2 + 4 + 5 + 4 - 3*k.\nAnswer: -5*k + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -994 - -3198. Find the common denominator of 3\/(792\/l) + -7 and -91\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172*c + 742 = -225*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 5:48 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4083901810 to the power of 1\/2, to the nearest integer?\nAnswer: 63905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 + -5. Suppose 4*v + 5*k = 25, 0*v + 24 = 4*v + m*k. Suppose -4*l - v = -109. Calculate the remainder when 76 is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/91 and 45\/1027.\nAnswer: 7189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 93077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 11 = -y, -y + 20 = 5*w - 3*y. Suppose 0*g - w*g + 1220009 = 3*t, -t = -g + 609997. Round g to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (18 - (2 - (8 + -15))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.83 + -5.83723. Round w to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, 2\/7, -2\/9, 7.311, -0.2 in descending order.\nAnswer: 7.311, 2\/7, -0.04, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -34.19 rounded to 0 dps?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 92713629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 divided by -8146822?\nAnswer: -11\/8146822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 28678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 + m - 2. Let j = 36 + 4. Let v(o) = 39*o**2 - 4*o - 3. Let d be v(-1). Let k = d - j. Give p(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (3 - -1 - 8) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 3*t - 2*t + 12, t + 16 = -3*l. Let s = t + 6. What is the second derivative of -5*a**4 - s*a**3 + 14*a + 2*a**3 - 11*a wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 33957536*c**2 - 19*c + 217645?\nAnswer: 67915072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 23*u - 610. What is y(-43)?\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6*6\/8)\/(40\/16 - 2). Let g(d) = 9*d + 82. What is g(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1636 divided by -2.\nAnswer: -818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*i + 2551377*u + 120 = 2551373*u, u = -2*i - 30 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 a, and 1 z when three letters picked without replacement from {q: 3, a: 10, z: 2, r: 1, t: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 5*u = -5, -10*u = -4*k - 11*u + 5. Solve -k*y + 0 = -c - 6, -4 = 2*y - 6*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 1 + -6 + (-3 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - -1083)*((2 - -1) + -1). Suppose -4*t = -2*x - u, 5*x - 124 = -2*t + 972. Let j = t + -358. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*h - 118650 = -20551 + 259309. What are the prime factors of h?\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 606 is divided by 494?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 125*s + 4. Let k = 11 + -7. Let x be j(k). Suppose -4*a + 13096 = -x. What is a rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 76 + 43 = 3*k, 5*k = 5. Let n(q) = -5*q + 154. Let m(b) = -b**2 + 5*b - 2. What is the least common multiple of m(4) and n(z)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*k + 2*k + 189 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4241754 and 162.\nAnswer: 12725262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 93087*f**3*y**2 + 8*f**2 - 1213904*y**2 wrt f.\nAnswer: 279261*f**2*y**2 + 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 133 = -168. Is (-2)\/d - 9790\/(-14) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-370)\/5 + (-4)\/(-2). Let q = y - -189. Let n = q - 78. Calculate the remainder when n is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 370432, 370430, 370428, 370426, 370424, 370422?\nAnswer: 370420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-6435)\/(-279) + -2 - 22\/341\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 4, w: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -103020*d*g**3 + 2*d*g**2 + 59455*g wrt g.\nAnswer: -618120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -6*f + 5. Let i(p) be the third derivative of -13*p**4\/24 + 3*p**3\/2 - p**2. Let q(r) = 2*i(r) - 5*k(r). Let y be q(2). Which is smaller: y or -2\/89?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 7*u**3 - 172*u**2 + 94*u - 3017. Give o(25).\nAnswer: 1208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in 0.06, 0.009, 0.026?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -606 - -618. Suppose l*i = 28*i - 1568. Suppose 5*x + 27 = 157. What is the remainder when i is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 <= -192768861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 9*u + 30. Let i(w) = -3*w - 10. Let n(z) = 3*c(z) + 8*i(z). What is the derivative of n(l) wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of -3*r**5\/5 + 15*r**4\/4 + r**3\/3 - 19*r**2\/2 - 147. What is the third derivative of p(f) wrt f?\nAnswer: -72*f + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of h**4 + 127*h**3 - 156*h**2 - h.\nAnswer: 24*h + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 - l**2 - 15*l - 15. Let i be s(-5). Suppose -163 = -3*d - i. Solve 7 = 3*u + d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 7 = -4*t, -57*t - 32 = -56*t - 3*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.1 + 0. Let a = x - -0.6. Let w = -23149\/18520 - 1\/18520. What is the biggest value in -1\/6, a, w, -7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 11. Let q(f) = -f**2 + f + 3. Let y(w) = k(w) - 3*q(w). Suppose 3 - 7 = h. Determine y(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-4)\/14 - 7805\/(-49) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 482761844.\nAnswer: 2, 120690461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*t - 218 = 223 + 1275 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 12. Let p = 18599 + -18597. Which is the fourth biggest value?  (a) p  (b) -3  (c) o  (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 52871\/14835 + -153\/43. Let r = i - -341\/690. Sort 0.24, r, 0.1, 3 in decreasing order.\nAnswer: 3, r, 0.24, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-4) + 4*(-95)\/(-80). Suppose 3*b - 2 = h*m + 3, 0 = -b + m + 5. Calculate the remainder when 28 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1\/8  (b) -4  (c) -6058  (d) 94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (13 - 3) - (1 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 4*t - 22, -v + 2*t = -0*t + 6. Find the first derivative of -39 + 17 + 2*o**2 + 15*o**3 - 4*o**v wrt o.\nAnswer: 45*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*g - 14*g**5 - 16*g - 2*g - 2*g**5 wrt g.\nAnswer: -320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {o: 4, w: 1, b: 1, x: 1, p: 1, f: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34\/3, -1, -2, -0.1, 2.9 in decreasing order.\nAnswer: 2.9, -0.1, -1, -2, -34\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -3 - ((-3 - -3) + 47 - (-57 + 116 + -50))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (2 - -4) + -4 - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(28))**2*-6 + 3 + sqrt(56)\/sqrt(2).\nAnswer: -165 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 469*l + 937 + 371 = -185*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ljjj when four letters picked without replacement from {l: 3, u: 5, y: 1, j: 7}?\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 plus 159147305213?\nAnswer: 159147305205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1203893 to the power of 1\/2, to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 2*v = -2, -3*v = 4*t - 2*v + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 5*t - 27 = 0, -22 = 3*k + 2*t - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 < -355\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 227837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9\/6)\/((-6)\/(-56)). Is 21\/k*74\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9433?\nAnswer: 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 868*f + 2067*f + 1310*f + 2688*f.\nAnswer: 6933*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of v**4\/6 - 25*v**2. Calculate d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j + 0*j - j)*(-4 + 0 + 7 - 3*j).\nAnswer: 6*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - g - 28 = 4*g, 4*r - 2*g = 40. Let b(v) = v**2 - 6*v - 31. Let x be b(r). What is the tens digit of (38\/x)\/((-1)\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 34473985 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1860 + 1856. Let r = 95\/91 - 8\/13. Which is the nearest to r?  (a) -2\/11  (b) m  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 4 + 7 = 0. Solve 3 - m = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + -5. Let w(l) be the third derivative of l**5\/60 + l**4\/4 + 4*l**3\/3 - l**2. What are the prime factors of w(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5555*z**5 - 2*z**3 - 13055*z**2?\nAnswer: -333300*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -5, 10, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of l**4\/4 - l + 17. Let h(v) = 12*v**3 - 1. Suppose 5*p = -3*g - 10, p - 7*g = -8*g - 4. Calculate p*h(s) - b(s).\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 + 11. What is the third derivative of 44*q + 34*q - 78*q + b*q**2 + 10*q**3 wrt q?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -176 divided by -249655.\nAnswer: 176\/249655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 3 - -12 - (77 - 2)) + 11?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 5041 = 3*p + 5044, -2*p = -t - 19. What is the greatest common factor of 3415 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 - 166498\/(-4) - 2994\/(-1996) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7045058391 + 0.26?\nAnswer: -0.4445058391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is -1222030 divided by -6?\nAnswer: 611015\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5 - (-1 - -2) - -1. Suppose 4*v - 25 + i = 0. Suppose 2*j + 7 = p - 6, 0 = 5*p - 5*j - 40. Solve -5*l = k + v, 2*k + p*l + 2*l = -5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 - 5*q + 6. Let f be (-1)\/4 + 29\/4. Let v be (-37)\/f + (-8)\/(-28). Is z(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 108582*u + 128526*u - 260494*u to the form n + h*u and give h.\nAnswer: -23386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (((-24)\/(-10))\/(-1))\/((-141)\/940)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24863\/115 - 4\/20 and 306?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, -94, -96, 15, -5 in increasing order.\nAnswer: -96, -94, -5, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30784.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*(-2)\/(-938))\/((-107)\/((-5243)\/(-14)))?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -112  (b) -2\/25  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 6 = 2*f. Let k(c) = 2*c + 6. Let o(g) = 2*g + 5. Let j = -8 + 9. Let s(q) = -6*q. Let r be s(j). Give f*o(w) + r*k(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 3*n + 12*n. What is the third smallest value in 0.4, n, 1.09?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900) + 1 + 0 + -4)*2.\nAnswer: -6 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5406697 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1895239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/912*-12*-2\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -253*a + 8*a = -1960 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/15*(-5 + 0). Let a(h) = -11*h - 1. Let m(q) = -12*q - 1. Let g(j) = -5*a(j) + 6*m(j). Does 13 divide g(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29624?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 49996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -19550690 to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 228 = -5*v. Let k = -32 + v. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 + 10*t**2 + 13*t - 12. Let z be w(11). Is 13 a factor of (-12)\/60 - (-362)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*n - 4*n + 3*n)*(-n + n + 2*n**2) - n + 3*n**3 + n - n**3 - 2*n**3 - 9*n**3)*(-4 + 5 + 0) - 5*n**3 + 0*n**3 + 2*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 - 5*d**2 + 5*d - 4. Let r = -7 + 1. Let j be f(r). Solve -4*g = -5*m, g = -3*g + j*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f**2 + 543900*f - 10879200 = 0.\nAnswer: -181320, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 18\/(-324)*(-1 + -1). Let w(j) be the first derivative of 13\/6*j**4 + 8\/3*j**3 + 4\/3*j**2 - 3 + 0*j + o*j**6 + 4\/5*j**5. Find v, given that w(v) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 243263 is divided by 7354.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103*z = 108*z - 30, -4*z + 1249012 = 4*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2861328?\nAnswer: 2, 3, 59611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/27?  (a) -1\/8  (b) 161  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -489, 2659, 7995, 15513, 25207, 37071, 51099?\nAnswer: 67285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/1012 and 25\/48?\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 962.1299m in nanometers?\nAnswer: 962129900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98*o + 45*o + 38*o.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -6238, -24667, -55388, -98407, -153730, -221363, -301312, -393583?\n\"Answer: -n**3 - 6140*n**2 - 2*n - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*n**3 + 5 + 109*n**2 - 6*n - 108*n**2 + 4*n to the form w + m*n + h*n**3 + v*n**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1110006349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 98085263?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -43\/18?  (a) 2\/5  (b) -1  (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118017?\nAnswer: 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 172 and 1118?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 31*y = -11*y + 468 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 17\/2 of a day?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 232560 and 35240?\nAnswer: 204885360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 17, 25, 25, 11, -23, -83, -175?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1367.7 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 - 24*s + 3. Let a(m) = -4*m**2 + 95*m - 3. Let k(c) = 6*a(c) + 22*f(c). Give k(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 3) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9051 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: What comes next: 1429329, 2858775, 4288469, 5718537, 7149105?\nAnswer: 8580299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 260.7239ml in litres?\nAnswer: 0.2607239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c - 12. Give m(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2*i = -i. Which is the third biggest value?  (a) 3  (b) 2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ucuuuuucccccucccucu. Give prob of picking 2 u.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the first derivative of 2*q**2 - q - 22. Suppose -3*g = -7*g + 3*x + 29, 5*x = -2*g - 5. Let r(k) = g - 12 + 5 + 1. What is -3*r(t) + s(t)?\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -155500953?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-33 + 34)*(2 - -43 - -1). Suppose 5*z - 3*h + 16 - u = 0, -3*h + 12 = 2*z. Solve 2*f + 2*d - z = 0, -4*f = -f - d + 11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9782279 equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1065713369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = -4*v + 17, 79*v - 84*v - 4*r = -29 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13?  (a) 0  (b) 0.3  (c) 5  (d) 149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 39191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 12.36\nAnswer: 13.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-23\/5)\/r*r*r*r*r**(-2\/9)*r*r*r**(-1\/59)*r*(((r\/(r*r\/(r*r*r**(-7\/5))*r))\/r)\/r*r)\/r)**(-50) assuming r is positive.\nAnswer: r**(86000\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - 45 = -5*j - a - 126, 4*a - 60 = 4*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3475 - 3480. Let i(r) = -r**4 + r**3 - r - 1. Let x(t) = -2*t**4 + 2*t - 3*t**3 + t**4 + 2 + 2*t**4. Let z(p) = v*x(p) - 10*i(p). Factor z(j).\nAnswer: 5*j**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -12.9. Which is the third smallest value?  (a) o  (b) -3\/5  (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161733893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m**4 - 5*m**2 - m**4 + 2*m**3 + 8*m**2 + 1 in the form k*m + p*m**4 + r*m**3 + f*m**2 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 102*t**2 - 8*t - 46. Let w(n) = -101*n**2 + 6*n + 44. Let y(j) = -3*m(j) - 4*w(j). What is the derivative of y(v) wrt v?\nAnswer: 196*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**2 + 4*y**2 - y**2 + (2 + y - 2)*(-2*y + 0*y + 0*y) - 3*y**2 - y**2 + 3*y**2)*(2884 - 2884 - 137*y**2).\nAnswer: 274*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15993345 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 325787 (base 9) to base 7.\nAnswer: 1440142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - 3*w. Let a(t) = t**2 - 5*t. Let q be 6\/(4*1\/2). Calculate q*a(x) - 5*y(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -2*x**3 + 32522*x**2 - 32520*x = 0.\nAnswer: 0, 1, 16260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 151503091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2225 a factor of 134808300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1012 and 3864184.\nAnswer: 42506024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 62791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**3 + a**3 - 3*a**3 - 3*a**3 + 2*a**3 + 2*a**3 + (0*a + 4*a - 3*a)*(-3*a + 3*a + 2*a**2) - 2*a**3 - a**3 + a**3 + 28*a**3 - 32*a**3 + 51*a**3.\nAnswer: 44*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 106 = -4*f, 0*f + y = -3*f + 76. Let m(b) = 14*b - 361. Let v be m(f). Solve -5*s = -i - 1, v*i + 2*i - 24 = -4*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 8*a**2 - 4*a - 23. Is o(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 519*x - 520*x = 0. Solve -b + 4*l + 16 = 2*b, 5*l + 5 = x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 458112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -5, 1\/6, -4.\nAnswer: -5, -4, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of j**2*w**2 + 1239*j**2 - j*w**3 - 39*w**3 + 11*w wrt j?\nAnswer: 2*j*w**2 + 2478*j - w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 14739 + 38433 = 0. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (114\/(-152))\/((-218)\/16 - (-1)\/(-4)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 35.12 - 33.12. Put -2, 94, i in increasing order.\nAnswer: -2, i, 94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2215.4 + 2214.4. Let o = -14 - -29\/2. Which is the second smallest value?  (a) g  (b) 1\/5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -285928 divided by -6?\nAnswer: 142964\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26\/56)\/((-38584)\/8904).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((0\/6)\/(-8))\/(40\/20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*q**2\/7 - 2736*q\/7 + 106240\/7 = 0. What is q?\nAnswer: 40, 1328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, -6, -54, -7, -2, 1 in decreasing order.\nAnswer: 1, -2, -3, -4, -6, -7, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 928066301 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -130 + -41?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-1071)\/(-111384))\/((-1)\/(-4))\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3277685?\nAnswer: 5, 17, 38561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/2, -55, -3, 3, -1\/192, -8\/5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(-1 - -3) + 507. Let f be (-3)\/5 - (-4 + (-198)\/55). Suppose f*s - z = 219. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - (3 - 1)) + 7. Suppose 0 = -4*o - 16, 4*n = -u*o - 56 + 288. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 0 + -7 - (11 + -6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**0*f*f**0*f*f)\/((f*f**0)\/f**2))\/((f**1)**(-3\/8)\/((f*f**(-2\/7))\/f*f)**(8\/15)) assuming f is positive.\nAnswer: f**(967\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -134*p - 4. Let l be q(-1). Suppose 0 = 3*w - 4*o - l - 176, 5*w - 5*o - 505 = 0. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 - 21*j - 31. Give n(-16).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (64064\/(-45136))\/(2\/(-124))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 193918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -168*h + 511*h - 177*h - 177*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 396137?\nAnswer: 7, 56591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2 + 1858370*y\/7 - 75852.\nAnswer: 2*(y + 132741)*(7*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2202 divided by 3\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -214702680 - 0.3.\nAnswer: -214702680.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1179458381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 41*b**2 + b - 4. Let y be a(-4). Let p = 463 + y. What are the prime factors of p?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, -2\/11, -8, -0.48, 3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (0 - ((-6 - 4) + 8)) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 54 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/2 + 47*s\/2.\nAnswer: -s*(s - 47)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 17834037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 PM and 7:52 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130893175.\nAnswer: 5, 7, 503, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86396 is divided by 2271?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add -810953822 and -0.3.\nAnswer: -810953822.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 47\/80 + -3\/16. Which is the nearest to l?  (a) 1\/4  (b) -3  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1129335901?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 56, -108, -3 in descending order.\nAnswer: 56, -1, -3, -5, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3373524679.\nAnswer: 7, 481932097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.05, -3, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 793580424 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.4  (b) 5\/4  (c) -0.1  (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 9:47 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 56323 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 33 - 19. Suppose -2*t - 2*s = -0*s + 12, -2*s = 3*t + z. Let l = -6 - t. Which is the closest to 1?  (a) l  (b) 1  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34864922 and 75362?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -2*p**2 + 51*p + 31*p - 15*p + 35*p. Let i(k) = 2*k. Determine i(m(q)).\nAnswer: -4*q**2 + 204*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of -a**4\/24 + a**3\/3 - a**2. Let b(l) = 5*l - 8. Let u(d) = -7*d + 11. Let c(i) = -8*b(i) - 5*u(i). Calculate 4*c(k) - 18*v(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 - 23. Let a be (-1)\/((w\/(-9))\/2). Let q = -1 + 0. Sort -2, q, a in descending order.\nAnswer: a, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 3*s - 21, -177*s + 174*s + 48 = 4*v. What is the greatest common divisor of 1524 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 60 and 669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 + 3*r**2 + 0*r**2)*(2 - 1 + 2) + (-3 + 3*r - r + 1)*(-r - r + 0*r).\nAnswer: -r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zv when two letters picked without replacement from tejvjjz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -118 + 108. Let l = s + 90. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 11, 2, 28.5, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -951583, -951579, -951575, -951571?\nAnswer: -951567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.0052?  (a) -4  (b) 0.1  (c) -2  (d) 2.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a meter in centimeters?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4952 and 79232.\nAnswer: 79232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -8084, -14375, -20668, -26963, -33260, -39559, -45860?\n\"Answer: -o**2 - 6288*o - 1795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 2. Let k(r) = 4 + 5*r + 6*r**2 + 4*r - 9*r**3 + 10*r**3. Let o be k(-4). Solve -u*i - 2*i = o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -28198672422272485.00000145 - -28198670729779188. Let w = 1692493231 + r. Let b = w - -66. What is b rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139*l + 137*l + 24 = -4*q, 2*q + 3*l + 12 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 7 = -2*g. Which is smaller: 4 or g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 4359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3253617 is divided by 27573.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from vfwfffwwwfwfwvvwvfv.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -33632120 (base 7) in base 8?\nAnswer: -13137222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + 1 + (7 - 4). Suppose 20 = 10*i - d*i. Let l = 382\/231 - -1\/77. Which is the closest to l?  (a) 0.5  (b) i  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -2. Suppose 0 = 2*w + 5*a + 141, k*w - 243 = 5*w - 3*a. List the prime factors of 5\/(-25) - w\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-17)\/((m*m**13\/m)\/m))\/(m**17\/m**8) assuming m is positive.\nAnswer: m**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -24 and -470.\nAnswer: 11280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 104 + -91. Let z = -22640868 + 22640855.0000045. Let s = l + z. What is s rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sswsssss. Give prob of sequence sw.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002556722 to 7 dps.\nAnswer: 0.0000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 350570.5 rounded to the nearest one thousand?\nAnswer: 351000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*t + 0*t = 0. Let b(p) be the second derivative of -3\/2*p**2 + t*p**4 + 2*p + 0*p**3 + 7\/20*p**5 + 0. Differentiate b(c) wrt c.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27700997 is divided by 13666.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*v = -124 + 331. What is the common denominator of 101\/26 and (22\/(-28) - (-10 + v))*-36?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 3\/2  (b) -2  (c) -5  (d) 0  (e) -44616  (f) 22  (g) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1b3b - 13402?\nAnswer: -11594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-2 + -1*sqrt(12)).\nAnswer: -8*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 2*o**2 - 1163*o + 167950. Calculate z(267).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23798666 - 23798655.400051. Let h = -11.65 - -1.05. Let l = h + m. Round l to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 432 = b + 4*a - 4245, 5*b + 5*a = 23415. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 x when four letters picked without replacement from xxvlxvvvxxl.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-2\/5)\/(q\/((q*q**(-2\/3))\/q)))\/(q\/((q**(-2\/3)\/q)\/q*q))**(-5\/3))\/(((q*q\/q**(-1\/3))\/q*q)**(1\/63))**(-25\/4) assuming q is positive.\nAnswer: q**(1409\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**2 + 20281*m - 263841. Determine z(13).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 149*c - 28. Let k(p) = 224*p - 42. Let o(a) = -5*k(a) + 7*l(a). What is the hundreds digit of o(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 185 = 246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 455728879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 0 + 7*k + 1 + 1.\nAnswer: 7*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 271392?\nAnswer: 2, 3, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -330*k + 0 + 187*k + 181*k + 2*k**3 + 9 to the form j*k**2 + f*k + l + p*k**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1389 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: Let f(s) be the second derivative of s**3\/3 + 9*s**2\/2 + 5989*s. Give f(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from innijnin. What is prob of sequence nnj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36, -45, -58, -75, -96?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1487972\/63 - 23618. What is the common denominator of c and -179\/90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - 0. Suppose -2*i + 3*i + h = 2, 3*i = 4*h + 13. Let d = r + i. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-26)\/14 - -1 - 2\/14. Which is greater: z or -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 70 - 46. Let o(f) = 35*f**2 - 13*f**2 - k*f**2. Let s(l) be the second derivative of l**3\/3 + l. Calculate o(s(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.19 - 0.22529. Let z = -0.0379 - x. Round z to 4 decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -34d + 162?\nAnswer: -1cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-4400)\/(-11) - (12 - 3) is divided by 54?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -17 + 83. Calculate the least common multiple of 10 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 926698*y**3 - 2*y**2 - 23201*y.\nAnswer: 5560188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5622 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 2 + 1)*(-n - 3*n + 3*n)*(-42*n + 6*n - 11*n) to c + g*n**2 + x*n and give g.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3118 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3 - 3 = 0. Let i(o) = o - 6. Let c(w) = -2. Let y(d) = l*c(d) + 2*i(d). Let v(u) = -4*u**2. What is v(y(f))?\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 99*z + 165. Let u be a(5). Calculate the highest common factor of 24 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-190)\/50 + (-2)\/10. Let b = n - -16. Find the second derivative of b*r**5 - r**5 - 8*r**5 + 6*r wrt r.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 641*s**2 + 655*s**2 - 1293*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 264673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*1 - (-7 + (-5 - -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1535*x + 6569 - 42947 = 19784 - 3972 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/14  (b) -3\/2  (c) 1  (d) 0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of -n**3\/3 - 2*n**2 - 3*n - 80. Let a(o) = o**2 + 5*o + 4. What is 5*a(j) + 6*g(j)?\nAnswer: -j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n + 2*n + n - 8*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/5  (b) -0.3  (c) -5  (d) -2  (e) 5  (f) 9778\/51  (g) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, p: 2, s: 2, w: 2}. Give prob of sequence wssw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*g**2 + 32*g - 30*g + 4*g**2 - 19 to the form t + y*g + w*g**2 and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 216*-4104.\nAnswer: -886464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5217889 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in 0.4, -2\/5, 1\/6, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -9*f + 5*f. Suppose 3*j + 6 = -2*q + 6*j, 3*q - 4*j + 7 = 0. Is q smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 2:47 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 - 18*h**2 - 5*h - 16. Calculate y(18).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 96926*y. Let k(b) = -6*b**2 + 155. What is o(k(x))?\nAnswer: -581556*x**2 + 15023530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dndn when four letters picked without replacement from {d: 12, n: 3}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 3:39 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vmpmgmpimv. Give prob of sequence pgv.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b + 29. Let t be k(14). Let j = -40 + t. Calculate the remainder when 5 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 0.086, 9\/2?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, a: 2, m: 1, b: 4, v: 3, i: 4}. What is prob of picking 1 i, 1 a, and 2 v?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + (-28 - (-29 + -7)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 16794, 67067, 150856, 268161, 418982, 603319, 821172?\n\"Answer: 16758*l**2 - l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 980 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: Suppose -i + 5*n + 93 + 218 = 0, -i + 3*n + 309 = 0. What is the remainder when i is divided by 119?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 174294, 348635, 522968, 697293?\n\"Answer: -4*l**2 + 174353*l - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3205b5 (base 12) to base 15.\nAnswer: 108ad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of -p**7\/84 - p**6\/24 - p**5\/40 - 36*p. Let b(d) = 0. Calculate d.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1650590\/11 > -150053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 264181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1, -1.3641, 1322?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 206 - 51. Let i = q + 63. Let u = -288 - -640. What is the highest common factor of u and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194 a factor of 32403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k**4 + 210*k + 93*k**3 + 58 - 93*k**3 - 59 to c*k**3 + r*k**2 + m*k**4 + i*k + s and give i.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92 is divided by 51?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -0*b + 6*b. Let g(q) be the first derivative of 3*q**b - 2*q**3 + 1\/2*q**4 + 2 - 2*q. Factor g(x).\nAnswer: 2*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 2 + 1. Suppose 3*z + 21 = 5*x, 4*x + 2*z - 11 + j = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 25376\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -706*w + 4. Let q(s) = 4*s. Determine v(q(l)).\nAnswer: -2824*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/5 smaller than 3758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5954*q - 5744*q - 3150 = 0 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 5, v: 2, z: 3}. Give prob of picking 2 v.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2199797*h**4 - 4631898?\nAnswer: 8799188*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-12 - (9 - 97)) + (2 - -12) + 30 + -32\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*x - 465 = -24*x - 5*m, 5*x + 3*m + 521 = 0. Which is the closest to 2\/11?  (a) 4\/7  (b) -0.4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 0*d + 4 - 7*d**2 + 6*d + d**3 + 0*d. Let t be u(6). Suppose -t*l + 10 = 2. Solve -l + 12 = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 74537, 298107, 670721, 1192379, 1863081, 2682827?\n\"Answer: 74522*l**2 + 4*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11.1 + -4.9. Let z = 24.6 + -10.5. Let r = v - z. What is r rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14155 and 9537335.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3197907140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 8, p: 3, b: 7}. What is prob of sequence kpb?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*a*g*j**2 - 12*a*j**2 - 3*a + 7*g*j**2 - 14*g wrt a?\nAnswer: -4*g*j**2 - 12*j**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, -87, 0, 2 in increasing order.\nAnswer: -87, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/6)\/(3\/(-9)). Let n = o + 1. Solve 0 = n*s + s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k. Let s be g(3). Let w be -3*(48\/(-9) + 4). Suppose 0 = w*a - s*z - 22, 8*a - 3*a - 33 = z. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -54.09414 rounded to the nearest integer?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35091718.\nAnswer: 2, 17545859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33 - 32. Let a(o) = -6*o**2 + s + 4*o + 0*o - 3*o + 3*o + o**3. Calculate a(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.3 - -7.9. Let m = 8.6 - d. What is the closest to -0.1 in m, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 40*x**4 - 6*x**3 - 41*x**2 - 6. Let v(u) = 6*u**3 - 3*u**3 + 1 - 2*u**3 + u**4. Let y(z) = m(z) + 6*v(z). What is the third derivative of y(i) wrt i?\nAnswer: 1104*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 305?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 12) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 33 and 2112?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - a - 14 = 7, 5*a = -y + 16. Let l = -27 + 34. Let r = -1 + l. Calculate the remainder when y is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2385932?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/4  (b) -24.7  (c) 2\/3  (d) 0  (e) 16  (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104844316.\nAnswer: 2, 26211079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*s**4 - 40*s**3 - 2809*s**2.\nAnswer: 168*s - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hrxr when four letters picked without replacement from {r: 5, x: 3, h: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 108993*z**5 - 1119351*z**2.\nAnswer: 6539580*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u**3 - 10*u**2 + 11*u - 10. Let p(d) = 2*d**3 - 9*d**2 + 12*d - 12. Let t(r) = 3*m(r) - 2*p(r). Give t(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13100 (base 4) to base 6.\nAnswer: -2052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 120413114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -8046, -32051, -72058, -128067, -200078, -288091, -392106?\n\"Answer: -8001*v**2 - 2*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1\/4, -4\/3, -0.19, 0.1, -19.\nAnswer: -19, -4\/3, -0.19, 0.1, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 198558370069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13169 is divided by 2559.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 10 + 13 - 78*j + 72*j - 23. Let o(x) = 918*x. What is o(p(m))?\nAnswer: -5508*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 289, 574, 845, 1096, 1321, 1514?\nAnswer: 1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of -7*o**2\/2 - 2*o - 2. Let f(c) = 103*c - 1. Let k(w) = 427*w + 1. Let p(s) = 4*f(s) - k(s). What is 5*j(m) - 2*p(m)?\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.02 in 4.7, -28, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 PM and 6:12 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - q + 12 = 0. Let i be (-9)\/(-6)*(-4)\/q. Put i, -4, -1 in increasing order.\nAnswer: -4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6331*h**2 + 97*h**4 - 3*h**3 - 6331*h**2 + (2*h**3 + h**3 + 6*h**3)*(-5 + 5 + h).\nAnswer: 106*h**4 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2938, 3002, 3070, 3142, 3218, 3298, 3382?\n\"Answer: 2*k**2 + 58*k + 2878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1436 - 0.1436. Is p not equal to 133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -3546*d - 2. Let b(p) = -5*p**2 + 0*p**2 - 26*p**2 - 3*p**2 + 33*p**2. Calculate k(b(y)).\nAnswer: 3546*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = 2\/2415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 9.7433053.\nAnswer: 19.4866106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088) + sqrt(1088) + 1 + sqrt(1088) + 1 - sqrt(1088))**2 + sqrt(1088) + (3 + (sqrt(1088)*-2)**2 - sqrt(1088)).\nAnswer: 64*sqrt(17) + 8711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -4*d - 13 + 44 - 2. Let c be z(5). Solve t + 2*t = c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 105 = 4*z. Solve -3*w + 2*w - 2*v = -12, -v + z = 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2984 is divided by 45.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -79 * -0.041.\nAnswer: 3.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*a, 2*x - a = 72 + 193. What is the greatest common factor of x and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2  (b) 0  (c) 4  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 104267978?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 0 + 0)*(-1 + 1 - 2*k) + 3*k - 4*k + 0*k + 12*k + 5*k - 11*k + 0*k - 2*k + k to m + d*k and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-18)*-12*(-25)\/(-10). Let h(v) = 37*v - 248. Is 61 a factor of h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20114776081*m - 20114776081*m - 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -13*n + 1 + 0 + 17*n. Let l(v) = 9*v + 2. Let h be 8\/20*(-105)\/(-6). Calculate h*u(x) - 3*l(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from fffbfbfbfff?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c**3 + 5*c**2 + 5. Let k(y) be the third derivative of 2*y**2 - 4*y**3 - 36*y - 3\/40*y**6 + 0*y**4 + 0 - 2\/5*y**5. Calculate 5*k(z) + 24*v(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + 0. Suppose 0*j + 3*j = -k + 8, -j = 3*k - q. What is the derivative of -2*a + 0 + a + k wrt a?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28948.\nAnswer: 2, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i + 793 - 319 = 0. Let f = i + 121. Suppose a + f = -b + 167, -3*a + 369 = -3*b. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 - f. Let v be 6\/(-12) + 1\/(-2). What is c(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-49)*l**(-3))\/(l**27)**(-47) assuming l is positive.\nAnswer: l**1217","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/(-8))\/(25\/100). Suppose 0 = r*g - 12, 0 = -2*b + 3*g + 9 + 21. Solve -3*n = 3*a - 12, 2*n - 5*a + b = 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 5*y**2 + 22*y - 6. What is the least common multiple of r(-6) and 66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.075832765 from 64148.\nAnswer: 64147.924167235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10456 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10\/(-14) - (-6)\/(-21). Let b = -38 - -139. Let i = b + -101. What is the closest to s in -0.1, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**4 - g**3 + g**2 - g. Let x(n) = 3*n**4 - 4*n**3 - 4*n**2 - 4*n + 10. Let c(p) = 4*m(p) - x(p). What is the derivative of c(y) wrt y?\nAnswer: 4*y**3 + 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, p: 2, t: 2, e: 1}. What is prob of sequence pt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 29*j**2 - 87*j - 1540. Is q(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 63, -83, 5.\nAnswer: -83, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -12*q - 354. Let o(n) = n + 1. Let t(p) = -g(p) - 2*o(p). Let d be t(0). Suppose i + i - 64 = 0. Calculate the highest common divisor of i and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0111218157 rounded to four dps?\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmgmmgmmgggm. What is prob of sequence gggg?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -301 + 431. Let o = -53 - i. What is the common denominator of 89\/22 and (3\/16)\/((-36)\/o)?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2810 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from rixtfxc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 67\/5 of a millennium?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00021270943 rounded to 7 dps?\nAnswer: -0.0002127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -2*z**2 + 32*z + 2. Let c be w(16). Let r be c + (3 + 2 - 4) - -1. Solve 3*s - 2 = -r*k, -15 = 5*k - 2*s - 3*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3813234 divided by -1\nAnswer: -3813234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/(sqrt(3)*-2*6).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + 8. Let z(s) = 5*s**2 + 258*s - 56. Let d(x) = 14*t(x) + 2*z(x). Factor d(y).\nAnswer: -4*y*(y - 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 3*a - l, -a - l - 4 + 12 = 0. Suppose y - 2*y + a = n, -5*n + 41 = 3*y. Calculate the remainder when 12 is divided by (y - (-2)\/(-2)) + -3 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 PM and 9:07 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (3 - (-3 - ((1 - -7) + 0)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 33\/2, 0, -4, 2 in increasing order.\nAnswer: -4, 0, 2, 33\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 223807*t - 6 + 3 - 224221*t.\nAnswer: -414*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = -570 - 38. Suppose -34 = -f + 2*j, 4*j + m = 2*f + 2*j. Calculate the smallest common multiple of 12 and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10060000 to the nearest one hundred thousand.\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -1*((-3189)\/45 - (-4)\/(-30))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4402224 divided by 57924?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 4621*w - 4584. Give x(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (17\/(-20))\/(565\/2260)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -8393979, -16787957, -25181935, -33575913?\n\"Answer: -8393978*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -12.755 to one decimal place.\nAnswer: -12.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 + -46062020?\nAnswer: -46062021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 26144 divided by -19?\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/1*(-459)\/612?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3232436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -17.45 * -4.57\nAnswer: 79.7465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 PM and 2:10 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i. Let n(d) = -2*d**2 - 24*d + 56. Let p(w) = -12*g(w) - n(w). Is p(8) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**8*t)**40*t**7*t*t**(-15\/8) assuming t is positive.\nAnswer: t**(2929\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 2*v**3\/7 - 542*v**2\/7 + 19060*v\/7 + 40304\/7 = 0.\nAnswer: -2, 44, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -55507 (base 10) in base 12?\nAnswer: -28157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8762 and 2789012.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 1775*t**2 - 646*t**2 - 884*t**2 in the form s + o*t**2 + j*t and give o.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, z: 5, v: 10, r: 2}. Give prob of sequence zrzr.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 19259716 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: What is the remainder when 71883 is divided by 11975?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, r: 6}. What is prob of sequence rraa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*f + 3*f + 1047 - 1047 - 9*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 128, 260, 390, 518, 644, 768?\n\"Answer: -j**2 + 135*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (15*y**2 + 64*y**2 + 8*y**2)*((1 - 4 + 5)*(-3 - 1 + 1) + 1 - 4 + 7)*(0 - 2 + 8) to s*y**2 + t + r*y and give s.\nAnswer: -1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of 5*s**3\/3 + 23*s**2\/2 + 172*s - 258. Is 25 a factor of p(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 + (5 - 4)*(-2 + 1). Let j be ((-120)\/(-39) - t)\/(588\/(-718823)). Let x = j + 1934\/21. Calculate the common denominator of 34\/9 and x.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 8. Let q be (-1 - -2)*2\/10. Let k = 0.3 - 0.3. What is the nearest to k in -4, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2197 - 2193. Let t(x) = x**2 - 1. Let k(f) be the second derivative of f**4\/2 - f**3\/6 - 2*f**2 + f. Give n*t(y) - k(y).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1207513 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(28)\/sqrt(2))\/sqrt(2))**2*-1.\nAnswer: -11 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -418*a**3 - 8*a**2 - a + 11. Let c = 5 - -19. Suppose 3*o = q - c, 10 = 2*o + q + 21. Let s be l(o). Round s to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4489351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 2 = l, -l = g + 4*g - 23. Let o = l - 6. Differentiate o - 7 + 1 + 0*z + z wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10568 - -10632. Suppose -3*t = 5*a - 10 - 5, -t = 2*a - 5. What is the remainder when r is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**2. Let r(n) = -n**2 - 7*n - 4. Let g be r(-5). Let u(l) = l - 3. Let a be u(g). Let w(z) = z + a*z - z. What is q(w(b))?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -33, -31, -27, -21?\n\"Answer: j**2 - j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 904?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 39874 and 318992.\nAnswer: 318992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + 340403?\nAnswer: 340400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -2*q + 1. Let h be d(-3). Let u(c) = 17*c**2 - 23*c + 269. Let a be u(10). Let m = 1760 - a. What is the highest common divisor of h and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 15*t**4 + 119*t**3 + 217*t**2 - 383*t + 8. Let j(b) = 5*b**4 + 39*b**3 + 72*b**2 - 128*b + 3. Let n(f) = 8*j(f) - 3*k(f). Solve n(p) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2351 at most as big as 2405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-13*z**2 + 0*z**2 + 0*z**2)*(-z + 3*z + 0*z) - z**3 - 3*z**3 + 2*z**3 in the form k*z + d*z**2 + s + t*z**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/1064 and -61\/266.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4261 + 187399\/44. Find the common denominator of 93\/8 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 75587800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 + 12*m + 56. Let j be ((-150)\/(-35))\/((-24)\/(-84)). Calculate x(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, h: 8}. What is prob of sequence hgh?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -8) + -4 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 + 4*v - 119. Let l be p(11). Let g be (-9)\/(-34 + 7) - l\/(-6). Solve -n - n = -g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(5\/6)*n*n\/((n\/n**(-12))\/n)*n assuming n is positive.\nAnswer: n**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -14\/93691?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1563182514 divided by -3?\nAnswer: -521060838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 525757\/156 - 55590\/13. Let n = 4721\/4 + x. Let v = -539\/2 + n. What is the common denominator of 93\/4 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 483 + -481. Sort -3, -11, p.\nAnswer: -11, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -9. Let f(z) be the first derivative of 1 + 0*z**5 + 1\/24*z**6 + h*z - 1\/8*z**4 + 1\/8*z**2 + 0*z**3. Let f(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -262 = -0*o - 2*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4775480917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*b**2*q**3 + 17*b**2*q**2 + 2*b**2*q + 2*b**2 - b*q - 110*b - 9706*q**3 + 5*q wrt q.\nAnswer: -24*b**2*q + 34*b**2 - 58236*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - 10. Let s(l) = 1 - 2*l**2 + l + 0*l**3 + l**3 - 3 + l. Let i(t) = 2*t**3 - 5*t**2 + 5*t - 5. Determine x*s(m) + 4*i(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 605526.6 minutes?\nAnswer: 10092.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (6 - (-13 + 56)) + 7 - -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(128)*1 + -3)**2.\nAnswer: 16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(-42)*131328\/(-6840).\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of -i**6\/12 - 7*i**5\/10 - 15*i**4\/8 - 3*i**3\/2 - 1957. What is v in q(v) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the second derivative of -j**5\/10 - 7*j**4\/6 + 17*j**3\/3 - 7*j**2 - 116*j. Let s be l(-9). Solve f = 2*f + s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/16)\/((-4)\/8). Let m be (2*-7)\/(2\/2). Let d = m + 9. Which is the second smallest value?  (a) -4  (b) y  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of -t**9\/83160 + t**8\/4620 - 4*t**7\/3465 - 13*t**4\/12 - t. Let v(r) be the third derivative of p(r). Factor v(d).\nAnswer: -2*d**2*(d - 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -3*l - 54. Let h(i) = -i**3 + 12*i**2 + 12*i - 5. Let x be h(13). Let t be o(x). Suppose 11*b - 9*b - 7094 = t. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 3*k**3 + 534*k**2 + 1059*k + 528 = 0?\nAnswer: -176, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -36.642 greater than or equal to 92.31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28*w - 8*w**2 + 1 - 66*w + 39*w + 4*w**3 to the form r*w**3 + q*w**2 + j*w + v and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bnbibgs. What is prob of sequence ggbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (-48)\/(-15) + (-3)\/165.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -16\/5, -0.5 in ascending order.\nAnswer: -16\/5, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1542 by 2.\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-12)*0\/(-18). Solve 3*b - l + 13 = c, -b - 6 = -0*b - 2*l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/4  (b) 40  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -592*a + 1931*a + 45937 = 21706 - 45397 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3218149 or 3218150?\nAnswer: 3218149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, q: 4, l: 4, a: 1}. What is prob of picking 1 y, 1 l, 1 q, and 1 a?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6483 and 1?\nAnswer: 6483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1920*n**3 + 9472*n.\nAnswer: -11520*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - (-2 + 1)) + 2. Suppose -n + a = -1. Suppose c - 108 = -2*b, 133 = 2*b + n*c + 19. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -185*g - 1940 + 7478 + 1175 + 2907 = 0 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -4*b**2 + 19*b + 13. Let o be w(0). Let y(h) = h**3 - 13*h**2 + 5*h - 67. Determine y(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 106708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 114 - 459\/4. Let w = -2.78 - 0.22. Which is the third smallest value?  (a) 0.4  (b) 1  (c) f  (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, i: 4, j: 1}. What is prob of sequence ikk?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 273 and 2067.\nAnswer: 14469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/855 or 5?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -22, -1\/6, -2271.19.\nAnswer: -2271.19, -22, -3\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/6 + (-284)\/(-8). Let i be ((-24)\/w)\/(1 - (-2)\/(-3)). What is the remainder when 37 is divided by i\/(-3) + 754\/39?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express c - 617*c**3 - 16*c**4 + 37*c**4 + 95 + 1240*c**3 - 622*c**3 as q*c**2 + a*c + j*c**4 + i + p*c**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (43 - 12) + -16 + (4 - 39)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*-2*sqrt(1539))**2 - ((sqrt(1539) + 1 + sqrt(1539))*2)**2)*6*-4 + -3.\nAnswer: -1772835 + 3456*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/3 + (-8)\/(-30). Which is smaller: z or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -24*i**2 - 11*i + 20. Let k(j) be the first derivative of -5*j**3\/3 - j**2 + 4*j - 3942. Give -11*k(r) + 2*q(r).\nAnswer: 7*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 3*l - 20. Let a(b) = 0*b + 2*b - l + 0*b. What is the remainder when 7 is divided by a(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 5*r - 5*r + 0*r - 2*r. Suppose n - 12 = -3*s, -2*s - s = -n - 6. Let p(d) = n*d - d - d. Give p(o(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 27 = 4*z, 1635*z - v = 1633*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**3 + 165*j**2 - 339*j + 171.\nAnswer: 3*(j - 1)**2*(j + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 17521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*z**2 + 15*z**3 + 14*z**2 - 28*z**2.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 287\/((-7651420)\/1550)*8\/(-3)*(-6)\/(-20).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118*k - 4 + 1348 = -50*k. Let u(y) = 5*y**2 + 45*y + 43. Calculate u(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/(-4))\/((-435)\/(-580))*(-24)\/88?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(475) + 3)**2 - (sqrt(475) + 2 + 0)**2.\nAnswer: 3 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lgglgglglolgolglgg. What is prob of picking 1 l and 1 o?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.24276274 rounded to 3 decimal places?\nAnswer: 0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4314 + 4310. Put -1, y, -6, 1 in descending order.\nAnswer: 1, -1, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*t - 10. Let z(l) = -l**3 - 94*l**2 - 1584*l. Let i be z(-72). Solve 5*r = 3*n + 23, 4*n + i*r - 12 = -t*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001487 rounded to six dps?\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14144301 (base 5) to base 11.\nAnswer: a0349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 14733 times -0.058\nAnswer: -854.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -137601, -1100128, -3712489, -8799600, -17186377?\nAnswer: -29697736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-117287)\/80 + 4\/10. Let f = 1468 + i. Find the common denominator of f and -3\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a55 + 2618?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - -2 - 2) + 1 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*j + 2*x + 178 = 21*j, -2*x = 10. Is -4*7\/j*22030\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 + -3 + (-326)\/(-30) + 2 + -11. Let y = -3.02 + 0.02. Which is the second smallest value?  (a) 2  (b) 0.2  (c) y  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -5 + 1 + 3*u - 4*u + 14. Let s be p(10). Solve -r = -s*r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7 times -2.8?\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1635, -6083, -13503, -23895, -37259, -53595, -72903?\nAnswer: -95183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -274, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4794464 divided by -3.\nAnswer: 4794464\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16114323?\nAnswer: 3, 157, 34213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 < -15597004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lgllgggnlbnb. Give prob of picking 2 b.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000232349 to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25.4 + 21.4. Suppose -31 = 5*z + 19. Let r = z - -5. What is the second biggest value in r, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 263407037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 3*d**2 - 22*d + 5. Determine q(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-6*(-2)\/6). Solve -3*p - d*p - 2*v - 4 = 0, 4*p - 4 = 2*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1752, 1751, 1750, 1749, 1748?\n\"Answer: -u + 1753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/12*2 + 39\/6. Suppose -r*t + 1 = -8*t. Which is the smallest value?  (a) 1  (b) -21  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + 5*b - 6 + 1, 3*b = -5*f - 65. Let r be (-4)\/f - (-210)\/(-150). Is (0 + r)\/((-4)\/180) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 + 6. Let g = -20008\/90063 - 2\/30021. What is the biggest value in 6, g, v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 (base 13) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, -50, -113, -202, -317?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 260746 (base 8) in base 14?\nAnswer: 25034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/((q\/q**10*q)\/q*q)*q)\/(q*q**(-16)) assuming q is positive.\nAnswer: q**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 171 is divided by 56?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**12\/m**(-3\/29))**(-11\/9) assuming m is positive.\nAnswer: m**(-429\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -217*l**3 + 431*l**3 - 122*l**2 - 35*l**2 - 213*l**3.\nAnswer: l**3 - 157*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 4*i + 11907 = 0, 4*l = -0*l - i + 15902. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (490\/(-60) - -8)*(-6)\/(-27)*21\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/(360\/6))\/((-13)\/(-48)*56).\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18635*f**2 + 13960*f - 7020*f - 6940*f.\nAnswer: -18635*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5\/3  (b) -2  (c) 72  (d) -4.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 t when three letters picked without replacement from wwowtttwwwwot.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 158103954 and 410.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21.1, -2\/19, -2\/1985, 2\/5 in decreasing order.\nAnswer: 21.1, 2\/5, -2\/1985, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h**2 + 4*h**2 - 5*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/(12\/(-3))*1. Suppose 4*m + d*m - 28 = 0. Suppose 0 = -m*v - 9 + 49. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21784 divided by 2?\nAnswer: 10892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**2. Let b(z) be the third derivative of 0*z + 25*z**2 + 1 + 1\/24*z**4 + 23\/6*z**3. Determine b(h(x)).\nAnswer: x**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 57 = -3*f - 26, 5*z = 4*f + 448. What is the remainder when z is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 2*k**2 + 32*k - 20. Let s be f(16). Suppose s = 2*d + 2*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 5*c**3 + 4195*c**2 - 2928650*c - 2932840 = 0.\nAnswer: -1292, -1, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13602.347 and 35?\nAnswer: 476082.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 1268 = -4*z, 8*t - 6*t + 2536 = z. Let h = t + 2098. What is h rounded to the nearest 10?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 123 + -66 + -68 + (3 - (1 - 1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (21\/3)\/(3\/15). Suppose -d = s - 5, s + 2*d = 4*s - l. Suppose 0 = -4*o + 2*y + 2, -5*o = 5*y - 16 - s. What is the remainder when 3 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/18 + (-3)\/(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - 2. Suppose -q - 49*q + 8800 = 0. Let n = 173 - q. Are n and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -40 + 12 + 2275*j**2 + 16 + 12 as b*j**2 + t + x*j and give b.\nAnswer: 2275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 13) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 30640 at most as big as 30577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1648966579337 and 2?\nAnswer: 1648966579335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 55251.404142 + -55251. Let v = 36.595518 + l. Let n = v - 37. Round n to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-41)\/((-14760)\/(-462)) + (-2)\/(-24).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 10) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 700861.2 months in millennia?\nAnswer: 58.4051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and -15*(-2)\/6 + (6 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11194480 rounded to the nearest 10000?\nAnswer: 11190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 606 + -1162. Let q = 556 + w. Which is the biggest value?  (a) q  (b) -2\/43  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 217\/5 + -44. Let j = 5 + -5. Which is the third smallest value?  (a) n  (b) 0.4  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g and 1 z when four letters picked without replacement from cgeegzeccecgezc?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(95)\/(sqrt(20) + sqrt(5)) + ((sqrt(19) + -1 - sqrt(19))*-1)**2 + 2.\nAnswer: 1 + sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 99638 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 257 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3*2\/6)\/(3\/6). Let g be -2 - 1\/(1\/(-2)). Suppose -f*p - 45 = -3*o - g*p, -4*o + 53 = -5*p. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 14) in base 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (735\/(-833))\/(18\/(-408))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -10*t + 25. Suppose -f = -t*f + 3*w + 19, 5*f - 10 = w. Let b = 17 + -18. Are b and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -101 + 108. Solve j + 3*x = m, 3*j + 3*x - 6 = -x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of q**4\/20 + q**3\/5 + 3*q**2\/10 + q\/5 + 13. Factor z(a).\nAnswer: (a + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -16*c. Let x(k) be the first derivative of 2*k**3 - 2*k + 941. Determine m(x(b)).\nAnswer: -96*b**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 1615*m**2 - 43*m + 569. Is a(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6460.86 - -6461. Sort 3, 2, -2, v, 1\/11 in decreasing order.\nAnswer: 3, 2, v, 1\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(468) + 2 + sqrt(468)) + 2)*1 + -5 + (sqrt(13) + 0 + 1 + sqrt(13) + 1 + sqrt(52) + sqrt(13))*5)**2.\nAnswer: 1078*sqrt(13) + 31334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 455 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120121 + -10212111?\nAnswer: -10021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**5\/w**(2\/27))**28*w**(-3)*(w*w**(-7)\/w*w)\/w*w\/(((w**(-1)\/w)\/w)\/w)*w*w**(-3) assuming w is positive.\nAnswer: w**(3535\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -55*y - 7. What is the units digit of z(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oooes?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:41 AM and 5:30 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 155 and 555.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 AM and 9:09 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 82\/3 + 18\/27. Solve 0 = 4*h - 4*c - j, -4*h = c - 3*c - 20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006015538 to four dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/2 of a litre?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 2*v = -371, 2*v - 115 = 2*x + 129. Let f = 613\/5 + x. Sort f, -1, 0.2.\nAnswer: -1, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/7?  (a) 0.5  (b) 0  (c) 5  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 31 + -32?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*w**2 + 243*w**2 - 116*w**2.\nAnswer: 147*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 166 - 193. Let f = u + 32. Solve -3*d - 2 = -f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 2*y. Let l be 7 + -4 + (y - -1). Solve 5*o - 39 = l*a - 14, 5*a = -5*o - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 7*u - 384. Let i = u - 11. Suppose -8*m + i = -3. Calculate the remainder when 13 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 + a**2 - a + 2. Suppose 0 = 3*c + 11 - 5. Let s be x(c). Solve 5 = 5*w - 2*z, s = -z - z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**2 - 5*n**2 + 4*n**2 + (n - 3*n + 0*n)*(-3*n - 2*n + 3*n))*(623*n**3 + 279*n**3 + 883*n**3).\nAnswer: 8925*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 1508?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 129*d**5 + 16663*d**3 + 1050969*d**2 + 2 wrt d?\nAnswer: 7740*d**2 + 99978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 - 150*f**2 + 9*f - 1380. Determine y(150).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1011, 1008, 1003, 996, 987, 976, 963?\n\"Answer: -d**2 + 1012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0246879522 rounded to six decimal places?\nAnswer: 0.024688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-2\/35))\/(z**(-2)\/z*z*z)*z*(z\/(z\/(z*z*(z\/((z\/(z*z**(2\/11)\/z*z))\/z))\/z*z)))\/z*z*z**(2\/7) assuming z is positive.\nAnswer: z**(2853\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 137*c = 119*c - 36. Put 10, c, 0 in increasing order.\nAnswer: c, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92.25951 kilometers to centimeters.\nAnswer: 9225951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 72544682939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 13918, 13975, 14030, 14083, 14134, 14183, 14230?\n\"Answer: -r**2 + 60*r + 13859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2*u. Let y(g) = -g**2 + 7*g - 5. Let v be y(5). Let q(m) be the first derivative of m**2 - v + 1 - 1 + 2. What is q(s(h))?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 24\/7, -181, -2?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 5*m - 0*c - 61, -c + 15 = m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6034104 divided by -774.\nAnswer: -7796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = d + 5. Let o be d\/4*16\/12 - 2. Let j be (2 - 0)\/2 - 5. Is o bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -192004, -767929, -1727772, -3071533, -4799212, -6910809?\n\"Answer: -191959*a**2 - 48*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 61644 - -429?\nAnswer: 62073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 825*-91\nAnswer: -75075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-2\/3)\/(r*r**5*r)*(r**(6\/5)*r*r)\/r**(-3\/7) assuming r is positive.\nAnswer: r**(-424\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*a + 4*r - 125, 0 = -a - r + 26. Let v(i) = -2*i**2 - 109*i + 23. Let t be v(0). Which is greater: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 + 129\/7. Let m be 2 - (0 - -1) - 3. Let y be -2*(-2)\/(m + 0). Which is the closest to 0.1?  (a) 2\/11  (b) d  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 4*m + 92 = 0, m = -0*n + n + 15. Let a = 340 - n. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -203416.\nAnswer: -813664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1598 - -1548. Let i be ((12\/(-16))\/3)\/(p\/160). Factor 4\/5*k**3 - 4\/5 + 3\/5*k**2 - i*k + 1\/5*k**4.\nAnswer: (k - 1)*(k + 1)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 5 = -b. Let j be (3\/(-2))\/(b\/70). Solve 4*o + 7 - 28 = y, 4*y = -5*o + j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + 2*j**2 - j + 16. Let y be 0*4\/(0 - 8). Calculate the remainder when i(y) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 + 26*a**2 - 56*a + 11. What is d(-28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 269382875 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.0528 + -0.0528. Let v be (-3)\/(-10)*(-28)\/(-21). Which is the nearest to v?  (a) -0.5  (b) t  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 36956 = 4*b - 2*d, -b + 5*d + 9239 = 0. Suppose -5*n = -5426 - b. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 5*r - 38 = 0, 2 = r - 2*r. Calculate the smallest common multiple of 1 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 - 21*m + 180. Determine h(22).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m + m + 2*m)*(13 + 1 - 1)*(0 - 5 + 4)*(11 - 33 + 4).\nAnswer: -234*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -4*b + 9, 2*b + 2*b = -2*i - 26. Let s = -2 - b. Suppose -4 = s*g - 0*v + 2*v, 4*v = 0. Let p(k) = -k**2 + k - 1. Calculate p(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 534 is divided by 99.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x**1\/x*x**(-16)\/x assuming x is positive.\nAnswer: x**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - -5. Let z = x - 3. Calculate the remainder when z is divided by 48\/264 + (-20)\/(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 6173, 6175, 6179, 6185, 6193?\n\"Answer: l**2 - l + 6173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7.2?  (a) 3\/7  (b) -0.1  (c) -3  (d) -0.4  (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + -5. Let d = 10 + u. Let g(i) = 7*i + 9. Let m(k) be the third derivative of -11*k**4\/24 - 7*k**3\/3 + 8*k**2 + 2. Calculate d*m(q) + 8*g(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of j**6\/144 - j**5\/30 - 101*j**4\/24 - 52*j**2. Let d(s) be the second derivative of n(s). Determine d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/4*-3*(-28)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -3*f**2 - f - 10. Let v(m) be the first derivative of 2*m**3\/3 + m**2\/2 + 7*m + 2. Let o(c) = -5*a(c) - 7*v(c). Factor o(n).\nAnswer: (n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1\/7  (b) -4  (c) -1.3  (d) 11  (e) -11\/105\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15688932 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, z: 1, j: 2, l: 4, i: 4, h: 1}. Give prob of picking 1 h, 1 n, 1 j, and 1 i.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 336 by -6.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1 + -0.1. Let h = 4142\/15 - 276. Let k = -0.12 - 0.18. Which is the nearest to u?  (a) h  (b) 4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -5*q + 4. Let x be z(-4). What is the highest common divisor of x and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89 - 245 = -13*a. Let i(c) = 9 - 11 - 2*c + a. Calculate i(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 56 and 594200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*m**2 - 34 - 21*m**2 + 34 - 17*m**2.\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*k - 56 = 12*k. Sort 0, k, 16, 2.\nAnswer: 0, 2, k, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58573?\nAnswer: 58573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 663847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 1 - 2 - 7*j)*(4*j**3 - 4*j**3 + j**3) in the form r*j**4 + b + s*j**3 + u*j + m*j**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**3\/3 - 409*h**2\/3 - 13804*h = 0. What is h?\nAnswer: -84, 0, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/5  (b) 1\/3  (c) 1609  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10433*y**4 - 18*y**2 - 2*y + 30?\nAnswer: -250392*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -8 - (-3138)\/102 - 23. Which is the nearest to 1.4?  (a) y  (b) -1  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5563.23 - 5564. Which is the second biggest value?  (a) -4  (b) 6  (c) n  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 783339.4 kilometers?\nAnswer: 78333940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-36))\/((-490)\/147000)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 9*k = 2*u + 119 + 95, 5*u + 3*k = 7*k - 91 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/1354690 and 57\/10024706.\nAnswer: 50123530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153 = 5*h + 4*v, -2*v - 49 = -2*h + 23. Is h a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 7*v - 23. Let c = -544 - -546. Let h(k) = 13*k - 17. Let y(p) = 7*p - 8. Let r(s) = -4*h(s) + 7*y(s). Let j(w) = c*f(w) + 5*r(w). Determine j(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 321850306049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/((-87)\/(-2436)))\/(5 - 4).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7800 and 384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -6*w - 7. Let z(f) = -5*f - 7. Let q(s) = -3*l(s) + 4*z(s). Let m be q(-6). Solve 5*b + 5*j - 5 = 0, 3*j + j = -m*b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54352849714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30454 = -89*i + 9863. What is the lowest common multiple of i and 99?\nAnswer: 14949","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7396, 7394, 7392, 7390, 7388, 7386?\nAnswer: 7384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/1795 in 0.2, -2, 0, -0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22\/105 - 4\/21. Which is the closest to m?  (a) 1  (b) 2\/3  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 603370 and 0.1?\nAnswer: 603369.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1381315.4 times -0.1\nAnswer: 138131.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -315*s**3 + s**2 + 3*s + 2. Let g be t(-1). Let i = g - 182. What are the prime factors of i?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - (-40)\/(-60)) + (-2)\/(-6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18 - 20. Let k be (1056\/1170)\/l + (-4)\/(-10). Is k bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -4*p**2 + 92896*p - 175231452 = 0.\nAnswer: 2071, 21153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 7*y - 33. Let k be z(7). Suppose k*b = 11*b + 31000. What is b rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 184127104 to the nearest integer?\nAnswer: 13569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1918 - 1973 = -2*r + 5*i, 0 = -12*r + 4*i + 44 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14356939.52 rounded to the nearest 10000?\nAnswer: 14360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 + 6*s**2 + 9*s - 9. Let a be (1 - -9) + -27 + 23. List the prime factors of z(a).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -161032 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -200459094148 - -200459103452.9995921. Let s = -9305 + j. Round s to 5 decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*l - 97*l - 72*l - 184*l - 15*l + 19 in the form t + v*l and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (4 - (2 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 5*s. Let x(n) = 64*n**2 + 6*n + 231. Let p(w) = -139*w**2 - 13*w - 461. Let k(v) = -6*p(v) - 13*x(v). Give k(b(u)).\nAnswer: 50*u**2 - 237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168*s - 20030 = -658598. What is the greatest common factor of 168 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 7, 4, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 54?  (a) -1\/23  (b) 4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 18 = g, -g + 0*g = 4*j + 17. Suppose 4*k - 334 = 2*c, -g*k + 147 = -5*c - 114. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*o - 6*o - 4. Suppose t = 3*t + 5*j - 27, -j + 15 = o*t. Suppose t*w - 10 = -4*w. Let i(n) = -n**2. Determine i(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5406 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9*(-65)\/468)\/(5\/(-40)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1353 + 111?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -295?  (a) 0  (b) -5  (c) -5\/4  (d) -0.1  (e) -22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*z - 48083 = 101143. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 95 - 95.081. Let h = i + -2.919. Which is the closest to -1?  (a) 8  (b) 2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/3)\/((98\/30)\/((-6790)\/(-9700))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -13712 - -163?\nAnswer: -13538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (-2 + (5 - -3) - -5) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 90 and 901674.\nAnswer: 4508370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 632*p - 2976 = 626*p. Let f = p + -468. What is the greatest common divisor of 238 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -4, -0.5, 1\/2, -12.01?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(4\/(-20)))\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/55)\/((-2)\/(-10)). Suppose 33 = -z + 16. Let i = 3 - 2. Which is the nearest to i?  (a) q  (b) 5\/2  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -693768 by -173442.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of -3*c**5\/80 - c**4\/16 + c**3\/8 + 3*c**2\/8 - 19*c + 3. Let w(r) be the first derivative of b(r). Factor w(j).\nAnswer: -3*(j - 1)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 490 is divided by 104.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.7 - 2.3. Let o be ((-6)\/28)\/(126\/(-24) - -6). Put o, j, 3 in descending order.\nAnswer: 3, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + 3*w + 22, w - 11 = -2*h + 4*h. Let i(p) = p**3 + p**2 - p. Let u(t) = 3*t**3 + 2*t + 7. Let j(z) = 4*i(z) - u(z). Determine j(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2026 + 2464. What are the prime factors of j?\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 - 2*u**2 - 2*u - 4. Let t be a(-2). Suppose -4*i + i = t. Put i, 5, 2\/3 in ascending order.\nAnswer: i, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 26*p**2 + 118*p - 5. Let y be 2*(115\/(-69) + (-1)\/3). Let w be q(y). Solve 0 = 4*j - w*g + 5, -5*j - g = 4*g + 50 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g - 2. Let h be x(-5). Let v(c) = 47*c + 369. Let z be v(-8). Are z and h unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10163623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 - 6*i**2 - 16*i + 11. Let c be 272\/(-28) - 2\/7. Let t = -5 - c. What is the least common multiple of o(8) and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -42372 != -1904?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17954 - 2010937\/112. What is the common denominator of -105\/88 and v?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 67*w + 6120. Determine r(-89).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 251.440767 + -4.12?\nAnswer: 247.320767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/16 + 2\/8. Suppose c - u = 3, a = u + 4*u. Let r = -2 - -4. Solve -r - 7 = c*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 54 + 11. Let k = 11 + 34. Let x = j - k. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -28066 - -38071. Which is smaller: a or 10007?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/1290 and (-61 + 2)*1*1\/(23 - 2).\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -124 + 4*k - 3*k + 186 - 60. Let a = -12 - -4. Determine v(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3424 + 3425. Suppose 4*f + l - 33 = 7, l = 0. Solve f - d = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6417 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 111\/82316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 9:25 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4a (base 16) to base 12\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - (-124 - -209)) + 2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 5*m, -20*r + 15*r - 3*m = -4601. Which is smaller: r or 922?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, -6\/23, -0.3, -3 in decreasing order.\nAnswer: 1\/2, -6\/23, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.004 - 44.004. Let m = 0.07845 + 40.92155. Let v = m + j. What is the closest to 0 in 11\/3, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 99865?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -39394167 less than 31?\nAnswer: 39394198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-916 + 75*a + 916)*(-2 + 2 - 1)*(1 + 3 - 3)*(1 - 1 + 2*a**3).\nAnswer: -150*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1227540967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - -24) + -12 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 97 - (-147 + 118 - (-12 - (-6 - -2)))\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + 1 - 4\/4. Let a(u) = u**3 + u**2 + 18. Is a(q) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/3 + 236*i\/3 + 1130\/3.\nAnswer: 2*(i + 5)*(i + 113)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 87 - 83. Let z = -1 + 3. Is m > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91 is divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 3 - 12*p**2 + 8*p**3 + 0 + p**3.\nAnswer: 9*p**3 - 12*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10*s + 20*s - 17 + s**2 + 15*s - 26 - 70 with respect to s.\nAnswer: 2*s + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 598994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 67 or 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.177 less than 10\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (44\/(-12))\/(2\/(-54)). Suppose -4*l + n = -0*s + 3*s, 5*l - 120 = -3*s. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -50177395, -100354788, -150532181, -200709574, -250886967?\n\"Answer: -50177393*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-2)*0 + 140\/28. Put 2, 12, b in decreasing order.\nAnswer: 12, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k**3 + 4*k - 4*k + (2*k - 2*k - k)*(k**2 + 1 - 1) + 0*k + 3*k**3 + 0*k + 17*k**3 + 13*k**3 + 10*k**3 in the form z*k**2 + r*k + g*k**3 + v and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -9*a - 1033. Let c(i) = 3*i + 344. Let r(h) = -8*c(h) - 3*v(h). Is r(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67969337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1846627, -3693060, -5539491, -7385920, -9232347, -11078772, -12925195?\n\"Answer: h**2 - 1846436*h - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/4860 and 169\/29160?\nAnswer: 29160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 628 is divided by 145.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h**(-1)*h))**31\/(h\/(h\/h**6))**(26\/7))**(1\/46) assuming h is positive.\nAnswer: h**(61\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 396 and 18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -3*c. Suppose -3*i = -2*b, 5*i = 4*b - b + 1. Let s(d) = -35*d + 22*d**i + 71*d - 36*d. What is q(s(l))?\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*a = -81*a + 18, -4*a - 184 = -2*f. Solve -35*b - f - 1 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*b**3 + 2*b**4 - 3*b**3 - 2*b + 14*b**2 + 2 - b**3 in the form a*b**3 + v*b**2 + k + x*b + h*b**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 29952 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -m**3 - 2*m**3 - 2*m**3 + (-2*m + 4*m - m)*(-3*m**2 + 5*m**2 - 3*m**2) - 3*m**3 + m**3 + m**3 to the form l*m**2 + f + y*m**3 + w*m and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6891 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, t: 3, o: 1}. Give prob of picking 1 t and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127 - 142 = 2*y - 5*l, -5*l + 10 = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 361522 and 49.\nAnswer: 361522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cjcc when four letters picked without replacement from jjjjjjjjcjjjjjjjjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/2 - (-663)\/1836*126.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + k - 105. Let f = -2\/1137 - -3451\/22740. What is the common denominator of ((-51)\/k)\/(2\/5) and f?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -68 + 42. Let c = 24 + q. Let p(x) = x**3 + 3*x**2 - 6*x - 7. Let g be p(-4). What is the nearest to 0 in g, 1\/6, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**18\/q**12*q*q\/q**(1\/5)*q\/(q**(-2\/13)*q*q) assuming q is positive.\nAnswer: q**(452\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/(-13) + 16020\/2730 and 9\/1661?\nAnswer: 11627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 188859581?\nAnswer: 37, 5104313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 160443*n - 160441*n - 64 + 16.\nAnswer: 2*n - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189640480?\nAnswer: 2, 5, 139, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*f**2 - f**2 + 6*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 PM and 12:55 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -38 - -47. Suppose -5*x = -i*x + 12. Let g = 7 + 14. Solve -5*v + 4*t + 14 = -13, -4*v + x*t = -g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*w**2 - 38*w**2 - 39*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 14791*b - 2*b**4 - 864*b**2 - 5868*b + 78*b**3 - 6979*b = 0.\nAnswer: 0, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14a623 (base 14) in base 2?\nAnswer: 10101111110100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 433529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -605 or -606?\nAnswer: -606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - 2*f**2 + 2 + (-5*f + 3*f - 2*f)*(-19 + 19 - 4*f).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*k + 4*k + 603*k**2 - 735 + 1472 - 740 in the form m*k + a + l*k**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2 - 3 + 0. Suppose 0 = 5*z - 25, 10*z - 5*z = 5*g + 10. Let a(t) = 21. Let u(i) = -i + 6. Let c(j) = -a(j) + 4*u(j). What is g*k(b) + c(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 + 4*i - 1. Let r be y(3). Suppose 2*v - 5 = r*m - 63, m - 14 = -4*v. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = -3*b + 4, 0 = -5*b + 24*k - 28*k + 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 PM and 3:48 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 152*u - 44*u + 8410 = -182*u for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 - -22. Let q be -3 - l\/(-4)*(-22)\/(-33). Solve -4*n - 3 = -q*f - f, 0 = -n - f - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 154 - 152. Put 1.5, f, -4 in decreasing order.\nAnswer: f, 1.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1701 - -27159\/16. Let w = 4415\/8 + -1115\/2. What is the common denominator of w and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2512 - -2648. What is the nearest to p in -3, -1, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 1 = s + k, 5*s = -4*k - 6. Let b(h) = -110*h**2 - 103*h**2 + 210*h**s. Let t(i) = -i. Give b(t(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of u**5\/10 - 2*u**3 + 5*u**2 + 6. Let w(n) be the second derivative of z(n). What is the first derivative of w(k) wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-8)\/6)\/((-6)\/27). Suppose 5*k + 3*i = 5 + g, -3*k = -3*i - 21. Calculate the smallest common multiple of 6\/21 + (-384)\/(-28) and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9489.9981 rounded to the nearest one hundred?\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 91 - -36577?\nAnswer: 36668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Round 0.12 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 38, 60, 80, 98, 114, 128?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-3 + 11 + -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 3 + 2 = 0. Let c be (-1 - (-11 + j)) + -1. Solve o - 23 = c*x - 4*x, -4*x = -5*o + 35 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2841 - 2840.7119. Round m to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3305297 millennia in decades?\nAnswer: 33.05297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + 2. Let k be (-6)\/(4*2\/(-4)). Let j be 4 + (1 - 30\/k). Is 9 a factor of z(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from snlpbdd. What is prob of picking 1 d, 1 b, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 384110, 384131, 384158, 384191, 384230, 384275?\n\"Answer: 3*p**2 + 12*p + 384095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.5 - -6. Let w = -1.5 - -4.5. Which is the smallest value?  (a) r  (b) 1\/7  (c) w  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a day in minutes?\nAnswer: 13248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*h - 129 = -87 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*(z\/(z**(3\/4)*z))\/z)**27)**(-20\/9) assuming z is positive.\nAnswer: z**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 15*p**4 + 40*p**3 - 460*p**2 - 1760*p - 960 = 0.\nAnswer: -4, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2\/12*26*(-12)\/832\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20224\/8823 + 1\/519. Let y = j + -851\/408. Suppose 0 = v + p + 3, -10*p - 7 = 5*v - 7*p. Which is bigger: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -329724 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 + 3. Let w be v(0). Let n be w + 0 - 1 - -2. Suppose 3*b = -3*x + 2*x - 1, -n*x + 26 = -3*b. What is the remainder when 18 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1564 times 9\nAnswer: 1.4076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 19860 and 75384588?\nAnswer: 376922940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*k + 4*k + 23*k + 2)*(-4*k + 2*k + 0*k)*(-4*k**3 - 6*k + 6*k).\nAnswer: 432*k**5 + 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3369 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -25981 or -25986?\nAnswer: -25986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 5:33 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68747184?\nAnswer: 2, 3, 11, 17, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 12*i**2 + 3*i - 30. Let v(f) = 1643*f. Calculate k(v(s)).\nAnswer: 32393388*s**2 + 4929*s - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + 4 - (8 - -1). Let g(b) be the first derivative of b**4\/4 + 2*b**3 - 5*b**2\/2 + 4*b + 47. Give g(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*x + 13 + 5 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*f + 2656*l - 2659*l - 47, -4*f + 112*l + 592 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -519*c + 151. Let q be n(-6). What is the highest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + r - 270 = 0. Let j be (-6)\/4 - 115\/r. Put j, -3, -0.4 in descending order.\nAnswer: j, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 10 = t, 5*t + 2*g - 606 = -571 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 11*q = g - 2, -3*q + g = -5. Solve 4*a - 3 = -d, 0 = -d - 5*a - q + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -1\/6*b**3 + 1\/6*b**2 + 8\/3*b + 10\/3 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -11*g**4\/2 + 14*g**3\/3 - 44*g**2 + 499. What is the second derivative of d(k) wrt k?\nAnswer: -132*k + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 95 - (2 + -1 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of 0*o**4 + 0*o**5 + 0*o**6 + 7\/6*o**3 + 0*o + 11\/210*o**7 + 0 - 25*o**2. Differentiate b(k) with respect to k.\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 0 - (3 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/((2*sqrt(3) - sqrt(3))*-4 + sqrt(3)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2 + 22*k + 88. Give y(24).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200)*-1*5 + -5)*-1 + -3*(-1 + sqrt(200) + sqrt(200)*1 + sqrt(200) + -5))**2.\nAnswer: -1840*sqrt(2) + 3729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -508*u + 7. Is c(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(5*(0 + sqrt(108)) + 2*sqrt(108) + 1))**2.\nAnswer: 336*sqrt(3) + 21172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3875571 divided by -14301?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 14609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 392 a factor of 24118976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + s - 3*s - 14 = 0, -4*f - 3*s = 18. Let a = f + 10. Solve -3*z = -4*p + 3*p + a, 4*p = 5*z + 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n**(1\/4)*n))\/n**(3\/10))\/(n**16*n\/n**(1\/5)) assuming n is positive.\nAnswer: n**(-347\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 174826494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44)\/6*-20*165\/(-440).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -10*p - 44. Let d be k(-5). Suppose 4*w + 620 = 8*w. Suppose d*i + 35 - w = 0. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (((-12)\/9)\/((-1)\/(-3)))\/(-9). Let c(w) be the second derivative of -w + 0 + g*w**3 - 2\/15*w**5 + 1\/18*w**4 - 1\/3*w**2. Factor c(v).\nAnswer: -2*(v - 1)*(v + 1)*(4*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -4*q**2 + 756*q - 9. Calculate t(189).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 + 9*x. Let a be s(-10). Suppose q - 6*u + 2*u + 13 = 0, 0 = -2*q + 2*u - 2. Let w = a + q. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 37*1 + 1 + -2. Suppose 6*b - 3*b = h. Solve 0 = -2*f + 3*g + 2*g, 2*f - b = -g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 18 = 0, -j + k - 221 = -215 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, d: 3, a: 3, r: 3}. Give prob of sequence aid.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 52158, 164003, 350404, 611355, 946850?\n\"Answer: -t**3 + 37284*t**2 + 14875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55307761.\nAnswer: 43, 1286227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -557*g = -470*g - 261 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, a: 1, h: 1}. Give prob of sequence ah.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 153924 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 smaller than 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 144 + 158 - 36837*a - 302.\nAnswer: -36837*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of -7*b**4\/24 - b**2 - 47. Let w(u) = -98 - 3*u**2 + 204 - 106. What is w(h(k))?\nAnswer: -147*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -791, 5, 1 in increasing order.\nAnswer: -791, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ufxuufxuufukkeek. What is prob of sequence exx?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -419 = 7*l + 1. Let j = l + 262. Suppose -4*s = 182 - j. Solve -s*m + 1 = 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1002200313 (base 5) in base 14?\nAnswer: -39b696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3177 from 1.758.\nAnswer: -3175.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2917467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1 + (2*(-2 + 1 + sqrt(72) + -3)*-6)**2) + 4.\nAnswer: -34560*sqrt(2) + 63359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 398122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36936 and 16131.\nAnswer: 10452888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - 1 - -2*17. Suppose 3*q + u = 5*q. Suppose 0 = -3*d + v + 2719, -3 - q = 5*v. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -5 + (-9 - -11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4*((-1)\/2)\/(2\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-750)\/38000 + 4\/(-38).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-10)\/(-14)*(-8)\/20. Let f = 80 + 28. Let g = 88 - f. Is b greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 183 + -183. Solve -4*o - 38 + 50 = b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 0*c + l - 51, 3*l = -2*c + 41. What is the highest common factor of c and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 57*r**2 - 21. Let f(x) = 5*x**2 + 2. Determine -6*f(v) + m(v).\nAnswer: 27*v**2 - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19 + -1. Let m = -15 - t. Is (-1)\/(-3)*3345\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3)*u**0)\/(u**(-2\/5)*u**(-1\/3)*u)*(u**(2\/19)*u**(2\/9))\/(u**2\/u**(2\/11)) assuming u is positive.\nAnswer: u**(-44743\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -4*j**4 + 31272*j**3 - 73113268*j**2 + 46877290896*j - 8988219857296 = 0.\nAnswer: 431, 3478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18 - -21. What is the third derivative of 242*q**3 + 12*q**6 - 242*q**f + q**2 wrt q?\nAnswer: 1440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x + 174*f + 17 = 179*f, -5*x = 13*f - 76 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.26 + -0.24. Which is the third smallest value?  (a) 0  (b) 0.4  (c) n  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u - 9. Let v be d(7). Let g be (-3 - (-8 - v)) + 0. Factor 3*r**5 + 3*r + 3*r**4 + 4*r**4 - 5*r**2 - 4*r**4 + g - 6*r**3 - r**2.\nAnswer: 3*(r - 1)**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 AM and 11:47 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-2 + -2 + -3*(-3 + sqrt(2299) + 1)*6).\nAnswer: -32 + 198*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -5*q - 4. Let v be s(-3). Suppose 4*t = -10*t + 56. Suppose 5*g - 9 = 5*w + v, -5*g - 16 = t*w. Solve 0 = 5*a, g = -4*o - 6*a + a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 41*v**2 + v + 11. Is n(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1247034 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 5*k + 12. Let j(w) = 5*w + 11. Let a(b) = 7*j(b) - 6*o(b). Let y be a(3). Calculate the highest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-66)\/(-2574)*-65 + 247\/37 + -5\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.6 plus 21743.4589882?\nAnswer: 21829.0589882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/30)\/(2\/(-5)). Let y(s) be the first derivative of -2 - 2\/15*s**5 + 0*s - 1\/3*s**2 - i*s**4 - 2\/3*s**3. Factor y(n).\nAnswer: -2*n*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 80*d**3 - 5*d**2 + 4*d**2 - 37 - 30*d**3 wrt d.\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k. Let s(r) = -148412*r. Determine s(v(n)).\nAnswer: 296824*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*h*z**4 + 4*h*z**3 - 3*h*z**2 + h*z + 2*z**3 + 31*z**2 wrt z?\nAnswer: 264*h*z + 24*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 44356377 by -13.\nAnswer: -3412029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -220110002111 (base 3) to base 4\nAnswer: -1311132313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/(-1))\/(8\/8)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*i**2 - 2*i + 2*i - 71*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 80 = 4*p. What is the lowest common multiple of p and 126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 11:27 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 AM and 1:48 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/203 or -3.976?\nAnswer: 3\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -4. Suppose -w = 4*x + 14, 3*w + 0*x + 2*x = -12. Let z = p + w. Solve -b + o + 3 = z, b - 5*o - 9 = -o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.15, 2\/7, -2.78, 0.4, -0.2?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/27 - 94\/(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-18)\/(-4) - 8)*-2. Suppose -12 + 2 = -5*k. Solve p = -g + k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1590368176.\nAnswer: 2, 983, 101117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1175*d - 8652 = -267*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/4, -0.5, -6\/107, -21, -9, 3\/7?\nAnswer: -6\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -3*k**2 - 20*k + 6. What are the prime factors of u(-5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 13. Let y = -0.06 - -3.06. Let z = y - f. Which is the nearest to -1?  (a) -2\/17  (b) 0.3  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -16*l**3 - 12*l**2 - 10*l - 30. Suppose 3*m - v - 7 = 0, -3*m + 4 = -2*m - 2*v. Let x(b) = -b**3 + b - 1. Let s(y) = m*a(y) - 28*x(y). Factor s(p).\nAnswer: -4*(p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1173 divided by -6\nAnswer: -391\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 25*b + 17. Let p(w) = -w. Determine m(p(d)).\nAnswer: -25*d + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, -262, -1, -4, -2, -28 in descending order.\nAnswer: -1, -2, -4, -28, -35, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**2 + 8*l - 9. Let u be s(8). What are the prime factors of -2 + 5 - (u + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.9 + -0.1. Let p = -167.28 + 167.3. Which is greater: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14.81 >= 0.505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 6 = -14. Suppose -8*h - v = -4*h - l, 4*v + 26 = 5*h. Suppose 0*w = -h*w + 26. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/(17 - 19 - -3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = c - 6*m - 602, 4*c - 4*m - 2408 = 0. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2035633894 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, y: 5, q: 7}. What is prob of picking 3 y and 1 n?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/5  (b) -6  (c) 2\/9  (d) -3  (e) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + -1103203031?\nAnswer: -1103203020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 27695 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23*b*v**3 + 4*b*v**2 + 11*v**5 + 3*v**4 - 350*v**2 wrt v?\nAnswer: 138*b + 660*v**2 + 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + 523?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15027 - 33402 - 6334 = -1266*b + 38591 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -63*c - 296464 + 1610077. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -4*b - p, 2*b + p + 8 = 3*b. Calculate the smallest common multiple of 30 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1308, -2518, -3624, -4626, -5524, -6318?\nAnswer: -7008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 5 + 1)*(r + 3 - 3) - 2*r - 5*r + 4*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36550?\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 0*g - 3*g - 3, -g = -p + 9. Let k = p + -10. Suppose 5*d + 5 = 5*r, -2*d - k*r - 10 = -6*r. Solve d*x + 2 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4885747.\nAnswer: 281, 17387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-32*s**2 - 84*s + 84*s)*(-2*s + 0*s + 0*s) to the form c + k*s + p*s**2 + w*s**3 and give w.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 72\/792 - 58\/(-88)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 0)*(0*o + 2*o + 0*o) + (-2 - 11 + 1)*(21*o - 11*o - 14*o).\nAnswer: 52*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 - 6*n**2 - 1. Is o(7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of -1\/2*t**2 + 0*t - 9 - 7*t**3. Let j(i) = -i. Determine j(g(p)).\nAnswer: 21*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((216\/9)\/4)*-15.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 + (31 + -13 - (15 - -9)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + 2)*-5 - (3*sqrt(1088) + sqrt(17)).\nAnswer: -30*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of 15*u**2\/2 + 31. Let x be g(11). What is x rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 55\/37163 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*h = -57*h - 1890. Calculate the remainder when h is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 275123 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-114)\/285)\/((-2)\/(-35)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**24))\/t**15*(t*t\/(t**(-7)*t))\/t**(-2\/7))**(-2\/47) assuming t is positive.\nAnswer: t**(430\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-22)\/8 - -2) + (-15)\/(2160\/(-684)). Solve -2*l + 5*v - q*v - 1 = 0, 3*v = -5*l - 19 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/(-10) + 1 - 8090\/(-25). Suppose 3*y - b - k = 2*b, 0 = b + 3. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - u + 10 + 9 = 0, 3*d - 4*u = 0. Put d, 3, 0, -4, -3 in descending order.\nAnswer: d, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 70\/4*4*-1. Let h be -5*(258\/5)\/(-2). Let t = b + h. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, 14, 33, 54, 71, 78, 69?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-40) - (195\/(-24) - -27).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/23, 2\/3, 0 in ascending order.\nAnswer: 0, 2\/23, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f + 38. Suppose 0*z = -p - 3*z - 51, -3*z - 12 = 0. Let h = 56 + p. What is the units digit of b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of -q**4\/8 + 918*q**2. Let c(n) = 347*n**2 + 3. What is v(c(k))?\nAnswer: -1041*k**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddddzzdzddddddd. What is prob of sequence zzdz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, 1, -0.33, -1\/8, 0.2 in increasing order.\nAnswer: -0.33, -1\/7, -1\/8, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 2*r**5\/5 + 4*r**4\/5 - 16*r**3\/5 + 4*r**2\/5 + 14*r\/5 - 8\/5 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 65*i**3 + 25*i**2 + 25*i. Let k(l) = 12*l**3 + 5*l**2 + 3*l. Let r(a) = 2*a**3 + a**2. Let m(n) = k(n) - 2*r(n). What is -50*m(h) + 6*z(h)?\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13899?\nAnswer: 3, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -324, 2, 3, 1.\nAnswer: -324, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000829405 to seven decimal places.\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + 4. Suppose -6*k + 5*y + 5 = -2*k, 5*k + 2*y - 31 = 0. Sort k, -3, i in increasing order.\nAnswer: -3, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that b**3\/5 - b**2 - 2*b\/5 + 24\/5 = 0.\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (40\/7)\/(2\/7). Let c(h) = 3*h**3 + 5*h**2 + 3*h - 6. Let l be c(6). Suppose 0 = -4*x - 2*x + l. Calculate the greatest common factor of x and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeee. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(95) + sqrt(95) + sqrt(95)*1))\/(sqrt(50)\/(sqrt(10)*1))*-2.\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -572*f*g*j - 3*f*g + 35180*f*j - 4*f + 2*g - 61539 with respect to j.\nAnswer: -572*f*g + 35180*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*l**3 + 14*l**3 + 43 + 6*l**3)*(2 - 2 + l**2).\nAnswer: l**5 + 43*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 5*d**2 - 2*d + 13. Let x(z) = 17*z**2 - 7*z + 39. What is -13*b(q) + 4*x(q)?\nAnswer: 3*q**2 - 2*q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 473*d**2 - 3*d - 12. What is the units digit of l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12294 less than 20456?\nAnswer: 32750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -19.8 times 2.8?\nAnswer: -55.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-350)\/(-110) + 4\/(-22). Let a be (-10)\/(-4 - 1) + n. What are the prime factors of (14\/8)\/(a\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - l + 0*l = 0, 5*z + 5*l = 0. Let p(v) = -v + 69. Let o(m) = -2*m + 59. Let y(i) = o(i) - p(i). Determine y(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 6. Let z = 4 - y. Let j = 1.5 - 1. What is the closest to -1\/2 in z, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/15 in 151721, 0, 3\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0265938 to 4 decimal places.\nAnswer: 0.0266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (96\/15 - (-570)\/(-95))\/(4\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 163 - 161. Suppose -l*y + 3635 = v - 4*y, -3*v - 5*y + 10949 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 381 - 410 - (-2 + (-6 - 5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32697, -65425, -98153, -130881, -163609?\nAnswer: -196337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 - c - 7*c + 3*c - 9*c. What is the hundreds digit of l(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = u - 3*q, -4*u - 5*q + 25 - 31 = 0. Which is the smallest value?  (a) 4  (b) u  (c) 14.3  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1071581429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*j**2 + 14*j**2 + 226*j**3 + 4*j.\nAnswer: 226*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2731049 is divided by 227?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107 - 2*l + 19 + 299 + 10.\nAnswer: -2*l + 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -54 + 56. Suppose x = 0, -n + 3*n - w*x - 180 = 0. Let r = 156 - n. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -65 + 54. Let f(v) = -v - 6. Is 2 a factor of f(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b + 66 = 6*z - 4*z, -29*z + 5*z - 3*b = -27*z - 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -24*o + 115. Solve 2*x - 5 = -z, -x - z = -3*z - o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**4 + 378*k**3 - 9690*k**2 - 1632850*k + 81064500.\nAnswer: -2*(k - 85)**3*(k + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1061392.\nAnswer: 2, 66337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 95. What is the second derivative of 92*m**2 + 0*m**5 + 4*m**5 - y*m**2 + 23*m wrt m?\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14733*f**2*u**2 - 5*f*u**2 + 482 wrt f?\nAnswer: -29466*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1150433634.\nAnswer: 2, 3, 7, 1697, 16141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 285 = -5*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 4*r**3 + 148*r**2 + 60*r - 11128. Let p(l) = l**3 + 37*l**2 + 16*l - 2782. Let w(b) = 4*k(b) - 15*p(b). What is the first derivative of w(x) wrt x?\nAnswer: 3*x**2 + 74*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -211402 (base 6) to base 5.\nAnswer: -1022320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24044?\nAnswer: 2, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, j: 3, z: 5, v: 1, b: 3}. Give prob of sequence xz.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 941890.8 centuries to months.\nAnswer: 1130268960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 12 - 3. Suppose -m*o + 595 = 2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 8 = 5*n, 5*z + 15 = 3*n + 2*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 280 and 1461992.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 11:55 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5462 + -5463. What is the smallest value in 5, k, 2\/63?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1370 - 1400) + (1 - -7).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -62 - -70. Let y be (x\/(-32))\/(1 + -2). Let w = 0.2 - 0.3. Which is the second smallest value?  (a) w  (b) 1  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/483 and -113\/9798.\nAnswer: 68586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 64 - 255\/4. Let k = -0.19 + 5.19. What is the closest to r in 1\/2, -3, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-1)\/m)\/(m\/(m\/m**(-1\/4))))**(1\/39) assuming m is positive.\nAnswer: m**(-1\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/3 - 5269\/(-33). Suppose 4*i + 11 - y = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**26\/y*y\/y**(2\/47) assuming y is positive.\nAnswer: y**(1220\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 81333784*n**2 + 62983054*n wrt n?\nAnswer: 162667568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -32, 1\/4, -5, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 53 + -26. Let d = b + -27. Suppose d = -13*s + 16*s - 285. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5623?\nAnswer: 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 11*w**2 + 14*w + 24. Let a be s(-12). Suppose q = -a*q. Solve -5*f + 0 - 15 = q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -p + 3. Calculate the remainder when 14 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4362577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2. Let z(u) = u**2 - 8*u - 15. Let g(n) = n**2 - 2*n - 1. Let f(d) = -4*g(d) + z(d). What is x(f(j))?\nAnswer: 9*j**4 + 66*j**2 + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 29388 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/n**(1\/5)*n**(-1\/3)*n**(3\/4)*n\/(n\/n**(-5)*n) assuming n is positive.\nAnswer: n**(-287\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 646969131.\nAnswer: 3, 1483, 48473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3.6 + -317471802.228\nAnswer: -317471798.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.867 rounded to 1 decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 10. Let r be -2 - (-2 + -3 + 1). Suppose h*s + r*s = 15. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13919596 is divided by 198?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 43926575 divided by -1\nAnswer: -43926575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3\/3 + 384*l**2 + 58340*l\/3 - 348432.\nAnswer: (l - 14)*(l + 68)*(l + 1098)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 6, b: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22.7 - 23. Do -86 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61571769 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -451 - -1196. Let s = 740 - z. What is the closest to 0.6 in 4, s, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 - 10. Suppose -j*m - 59 + 0 = -5*k, -4*k + m = -46. Let v = k + -4. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 - 2*x - 13. Let g be d(-4). Let p be g\/(-7 + 8)*4. Is p > 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -10*h + 42. Let u be (-8)\/((-1)\/h*3). Solve -7*v = -3*v + u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 8 - 5. Let k = 8 - 3. Suppose 4*g - 2 = m, -5*m = 5*g - 0*m - 15. Sort q, g, k.\nAnswer: q, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 601 + 149 = 2*t, 3*t + 5*b = 1169. What are the prime factors of t?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(27) + (sqrt(2700) - (2 + sqrt(2700))))**2 - sqrt(324)\/(sqrt(1452) + (sqrt(1452) + (sqrt(1452) - 1*sqrt(1452)) - sqrt(1452))).\nAnswer: -135*sqrt(3)\/11 + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 25 = -1. Suppose -39 = 5*l - 129. Calculate the remainder when l is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -148070, -148102, -148134?\nAnswer: -148166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -4 + 4 - 5*l**2 + 20*l**2. Let u(r) be the third derivative of 5*r**4\/12 - 2*r**2 - 477*r + 3. Calculate g(u(c)).\nAnswer: 1500*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4b + -b41?\nAnswer: -b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from yymvyvydydydydvdyv.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -10110001000111000011 (base 2) to base 3\nAnswer: -1100212010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 6, v: 1, p: 1, d: 1}. What is prob of picking 2 r?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 y when three letters picked without replacement from yhmhyhhy.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 947929867 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 923 + -868. Calculate the smallest common multiple of 88 and h.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 6. Let j = -1 + q. Is (j + 26)*(-2)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 11:32 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 964381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -41*n**3 + 4*n**2 - 5*n + 1. Let s be t(2). What are the prime factors of s*(2 + (-96)\/18)?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 + 34*n**2 - 34*n + 9. Let y be u(33). Which is greater: y or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 - 144335*7\/252. Let i = m + 12013\/3. What is the common denominator of i and 85\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = -7*o + 322, -2*o + 1390*a - 424 = -1387*a + 2772*a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ws when two letters picked without replacement from {s: 3, j: 1, w: 1, c: 1, z: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2088778 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 102485 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -19*q + 4. Let z be d(-10). What is the third derivative of -2*r + 40*r**5 - z*r**4 + 33*r**2 + 194*r**4 wrt r?\nAnswer: 2400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - w - 113 + 78 = 0, 76 = -38*w for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 133 plus -17835582.1251?\nAnswer: -17835449.1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6835 is divided by 3563?\nAnswer: 3272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of g**7\/2520 + g**6\/360 - g**5\/30 - g**4\/12 - 12*g**2. Let j(f) be the second derivative of d(f). Give j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the first derivative of 2*h**5\/25 + 2*h**4\/5 + 8*h**3\/15 + 24. Solve z(v) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 8863*x - 163 = 8861*x, -8*q = 3*x + 468 for q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*t**4*u - 51*t**3*u + 18*t**2*u + 9*t**2 + 3*t*u wrt t?\nAnswer: 96*t*u - 306*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*m**2 + 2*m**2 - 14*m**2.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + f = -57. Let q = -494 - -570. Let l = f + q. What is the remainder when l is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-288)\/(-21)*(-407)\/(-1221).\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11732.123767 rounded to 1 decimal place?\nAnswer: 11732.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 14*f + 124 = 2*r + r - 2*r, -4*r - f - 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {c: 7, t: 9, m: 2}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = -9*b + 4*b + 19, -4*b = 21*w - 19*w - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a**(-1\/10)*a))**(1\/39)*(a**(2\/7)*a)\/(a\/(a*a**(-2\/3)\/a)*a) assuming a is positive.\nAnswer: a**(-3763\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 201812 - 34710. Let b = o + -240002. Round b to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2785765?\nAnswer: 5, 557153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -63 + 68. Suppose i*t + 45 = -3*c - 359, -4*t - 324 = 2*c. Let a = t - -18. Is -64 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-174)\/8*(-14)\/(-6). Let v = w + 50. Which is the nearest to 2?  (a) v  (b) 1\/4  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 2*a + 258 = 167, -4*a - 14 = 2*v. Let p = 2365\/91 + -183\/7. Which is smaller: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7*o**2*r**3 + 16*o**2 + 3*r**3 wrt r?\nAnswer: 21*o**2*r**2 + 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -w - 5*h + 31, 4*h + 10 = 9*w - 4*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 171 divide 346380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -u**2\/3 + 1178*u\/3 + 2360\/3 = 0.\nAnswer: -2, 1180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/259546579 and -49\/1810.\nAnswer: 2595465790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -5.1. Suppose -6*t - 10 = -4. Let a = 0.03 + -0.53. Sort h, a, t.\nAnswer: t, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*q + 33*q - 2418 = -768 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/74*(-1745)\/(-5235)*32\/(-20)?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147 is divided by 68.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 96676399?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17989 - -17938. Let x be (7 - (-2)\/(-2)) + -1. Sort x, b, 0.5, -1\/4 in increasing order.\nAnswer: b, -1\/4, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6569 - -32849\/5. Put -0.092, 1, i, -0.1 in descending order.\nAnswer: 1, i, -0.092, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -6. Suppose 28 = 4*d + 2*t, 0*d + t = -d + 7. Suppose 2*h + 4*p - 2 = -8, p - 21 = -5*h. Sort s, h, d.\nAnswer: s, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 683431, 1366892, 2050351, 2733808, 3417263, 4100716?\n\"Answer: -n**2 + 683464*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 + 13. Suppose 2*z + 34 + 4 = r*k, 2*k = 2*z + 24. Suppose -4 - k = -3*w. Solve -3*g + 3 + w = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -45580770 + 45580822.000011. Let k = r - 52. Round k to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 897.25 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5322.063g?\nAnswer: 5.322063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 + 46 = -3*t. Let x(c) = 2*c + 47. Let d be x(t). Solve f + 1 = -d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -40*t**2 + 8*t + 31. Let l(f) = 19*f**2 - 5*f - 14. Let n(q) = 7*l(q) + 3*w(q). Let j = 1 + -11. Is n(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.5 + 0. Let o be 0 - -7 - (-26 + -6). Let n be 3\/o*(-6 - 6 - -10). Which is the third smallest value?  (a) j  (b) n  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of n**6\/60 + n**4\/2 - 5*n**2\/2 + 10*n. Let j(s) be the first derivative of o(s). What is the second derivative of j(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 25 + 45 + 46*g**3.\nAnswer: 46*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**(-5))**(-4))**(-7))**(-1\/78) assuming x is positive.\nAnswer: x**(56\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of -17*q**5\/30 + 3*q**4\/2 - q**2 - 2*q. Find the second derivative of o(x) wrt x.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + 1 + -3 + -7. Let b be (-2)\/x - 23\/(-4). Factor -14*m + 0*m**2 - 8 + b*m - 2*m**2.\nAnswer: -2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -43585 * 0.089.\nAnswer: -3879.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/90 and -91\/135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 40126548 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -1, -10, -0.5 in ascending order.\nAnswer: -10, -1, -0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 - 15 = -7*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6823657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3135 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 7*u - 4. Let x be l(-6). Let k = x + 178. Let b = 32 - k. Round b to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 7*g**2 + 70*g - 211. Let r be n(-50). Let m = 27018 - r. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -74*w - 2 - 66*w + 148*w - w**3 as d*w**3 + x*w + s*w**2 + n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 838701?\nAnswer: 3, 31063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -3. Let s be (-2 - 0) + 27\/z. Suppose -16 = 4*d - 4*o - 0*o, -23 = 4*d - 5*o. Solve -31 = 4*w + 5*v, -3*w - s = w + d*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 635087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/375 and -143\/18?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from imiiiiiiiibiib. What is prob of sequence bimi?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 5*c + 126, o - 4*c - 356 = -2*o. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*r - 295 = -295. Let f = 4.7 - 0.7. What is the closest to -0.1 in f, 0.3, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 3 + (5 - (6 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -907.7 + 907. What is the second smallest value in -1, -2, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -500014 (base 6) to base 15.\nAnswer: -b7ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -332817 >= -1664088\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -288377 = -88*o + 3*o + 171898. What are the prime factors of o?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 94 - 104 = 4*o, 2*q = 5*o - 45. Let p(d) = -d + 2*d + 0*d - 2 + 0. Determine p(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 PM and 4:42 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(6)\/sqrt(3) + -1)**2 - (sqrt(40)\/sqrt(5) + sqrt(2)))*-5.\nAnswer: -15 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 114\/(-4) - (-4)\/(-8). What are the prime factors of -5 + 7 - i*5?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -99306894*s**2. Let t(u) = -2*u. Calculate t(r(w)).\nAnswer: 198613788*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 1 - 2)*(2*y - 9*y + 0*y) + 4*y - y - y)*(-4*y**3 - 3*y**3 + 3*y**3).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**4)\/((n**(2\/9)\/n)\/n)*n**(2\/3)*n**(-4))**29 assuming n is positive.\nAnswer: n**(899\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28300.\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**3 + 161628*c**2 + 7751232*c.\nAnswer: 3*c*(c + 48)*(c + 53828)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/(-198) + (-1692)\/99 + 17?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11.8 + 0.8. Let t = 19 + l. What is the third biggest value in t, 2\/17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 1776*s**3 - 5*s**2 + 5*s + 11. Is o(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19230.1863 to the nearest 100.\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0\/355)\/((-1 - 0)*3). Let g = -2 + 2. Let l be 1 + -1 + (g - -2). Sort 8, l, -1, y in decreasing order.\nAnswer: 8, l, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2821 - -1731. Let j = h - -1585. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7164331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34074*j*o**4 + 116*j*o**3 + 7*j*o - 18507*o wrt o.\nAnswer: 408888*j*o**2 + 696*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 19\/6*k - 10\/3*k**2 + 1\/6*k**3 = 0 for k.\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 39 = -216. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -514001\/121485 + 2\/9345. Calculate the common denominator of h and 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g - 5*g + 8 - 15 + 15 + 657500*g**2. Let v be h(2). Round v to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dscjccdcccsc. Give prob of picking 1 c and 3 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*i**3 + 13*i**2 - 29*i**3 + 10*i**3.\nAnswer: -3*i**3 + 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/5 - (-26)\/10. Suppose g = a*m - 8, -g + 0*g - 2 = 0. Suppose -2*h = 0, -4*p = -0*p - m*h - 120. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -125167*l + 3057*l**2 - 3056*l**2 + 125167*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2641 - 8*b**3 - 2641.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -4332*y**5 + 165756*y**4 - 1135059*y**3 + 1849650*y**2 - 429300*y + 27000 = 0. Calculate y.\nAnswer: 5\/38, 2, 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185616 + 371244 + 253*l**2 - 185628.\nAnswer: 253*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/27 and -91\/36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 264 - 265. Is -1\/271 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -52*f + 456. Calculate the least common multiple of d(7) and 212.\nAnswer: 4876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 + 19. Suppose v = -6*j + 5*j + 25. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73314.24m in millimeters?\nAnswer: 73314240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6865 and 2153.\nAnswer: 14780345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 6. Is (q - -6)*(12 + -6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/5  (b) 2\/9  (c) 4  (d) 60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0*2*(-2)\/8. Let r = 8 - 3. Solve k = i, r*c = k - 0*k - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7\/1919 + -11\/101. What is the third biggest value in -0.5, 27, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19714712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.2313525 to 2 dps.\nAnswer: -2.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -2*i + 1. Let u(h) be the second derivative of -h**2\/2 - 5*h. Let a(t) = -1. Let w(v) = -4*a(v) + 5*u(v). Calculate o(f) + 2*w(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 102627 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2052)*-2*6 - sqrt(2052))\/(sqrt(588) - sqrt(588)*-2) + -5.\nAnswer: -13*sqrt(19)\/7 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1067968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 371*w = 360*w - 48, 5*o = 4*w + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + o + 56 = 0, -o - o = -4. Let r be 1\/(1*1\/k). Let h = 45 - r. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 2:05 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 3*p**2. Let i(n) = 5 - 4 - 4*n - 1. Give k(i(j)).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3663054 - -5?\nAnswer: -3663048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.7 and 21650431091198.\nAnswer: 21650431091197.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 54*z + 246. Determine t(-6).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b\/b**(-3))\/b**(-30) assuming b is positive.\nAnswer: b**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 12:00 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 + 22 + (48 - 76)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5847230 + 2459577 = 231*h - 928111. List the prime factors of h.\nAnswer: 2, 3, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5289*g**2 + 2321*g**2 + 2357*g**2 to h + f*g**2 + u*g and give f.\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45 - -54. Suppose 7 = 5*b - 3*h - 27, p = 3*b + 2*h. Let s = -0.3 - 0.7. What is the nearest to 0 in s, b, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3083337957.\nAnswer: 3, 7, 17, 8636801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*a**3 - 35*a**3 + 17*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 27*h**2 + 28*h - 9. Calculate q(-28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12832, -26456, -40080, -53704, -67328?\nAnswer: -80952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 2*s - 12 + 38 = 0, 2*s = 3*z - 86. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 - 7*g**2 + 6. Let x be m(-7). Suppose -32 = r + 4*r - 4*v, 5*r + 11 = -3*v. Let u = x + r. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f**3 - 2*f**2 - 3*f + 3. Let l be w(3). Suppose l = 13*i + 2*i. Solve i*d - 6*d = 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65505889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55567 is divided by 24836?\nAnswer: 5895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + 31 - 6. Suppose r*u + 0 = -5. Let i be 30 + 1\/u + 1. Calculate the greatest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 6*u - 7. Let k(f) = f**2 - 8*f - 4. Let m be k(9). Suppose -12 = m*z - 62. Calculate the remainder when x(6) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**4\/15 - 8054*x**3\/5 + 72506*x**2\/15 + 8054*x\/5 - 24168\/5 = 0 for x.\nAnswer: -12084, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine halves of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002575 rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1302.519 rounded to one decimal place?\nAnswer: 1302.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 11\/88*8\/6*3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 39325 and 157300?\nAnswer: 157300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 + 95104.\nAnswer: 95109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 509045 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of -19*u + 0*u**3 + 0 + 0*u**2 + 7\/6*u**4. Let i(f) = f. Determine v(i(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 - 12. Suppose 4*b - 2*s - 124 = 12, b - 28 = 2*s. What is the highest common divisor of v and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7 or 1436982\/89?\nAnswer: 1436982\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 50, 99, 148, 197, 246, 295?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 32\/31 + -1831\/62. Let r = -29 - b. Is r >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -738564 minus -1.5?\nAnswer: -738562.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16734 and 19173?\nAnswer: 106946994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of 0*y + 8\/3*y**3 + 0*y**4 - 1\/5*y**5 + 5*y**2 + 1\/30*y**6 + 0. Let k(g) = 0. What is g?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 + 1 + 2 - (1 + 13 + -9)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (18\/27 + (-10)\/12)*-4. Solve 4\/3 - 2\/3*m**2 - r*m = 0 for m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 - 474 - (6 + -2 - 0 - -3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 346007, 345653, 345301, 344951?\nAnswer: 344603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 23539948*p. Let a(z) = -z. Give a(c(o)).\nAnswer: -23539948*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-7 + 2 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -16 - -0.87\nAnswer: -15.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1335 and 419537990.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-14) + 30\/(-42)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 77480.\nAnswer: 77480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 2.05, 3, 5, 257, 0.5, -2.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 69\/2 of a decade in months?\nAnswer: 4140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -636142 (base 7) in base 13?\nAnswer: -3b1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9884, 9701, 9508, 9299, 9068, 8809, 8516?\nAnswer: 8183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -380 - -374. Which is the third biggest value?  (a) -4  (b) w  (c) -2\/3  (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -266917 = -7*n - 267015 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9949670 and 444?\nAnswer: 59698020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7159 + -7071. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 11*j**2 + 379 + 379 + 9*j - 1233 + 470. Let l be 34\/6 - 6\/9. Let b(r) = 1 - 2*r - 2*r + 1 - l*r**2. Give 7*b(t) + 3*h(t).\nAnswer: -2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*n - 21 + 59. Solve 0 = -n*w - 169 + 163 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i. Let l(n) = -154*n. What is p(l(r))?\nAnswer: -308*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -552797 by -552797.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 37, 64, 109, 178, 277, 412, 589?\n\"Answer: p**3 + 3*p**2 + 11*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -3*t - 288 + 26, 2*t + 4*s = -184. Let v = 195 + t. Suppose 25 = a - v. What is the remainder when a is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-16)\/6)\/((-6)\/9). Suppose 2*r - 631 = -2*w - 223, k*w = -r + 192. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 3*y - 24, -y - 11 = 4*v + 6. Suppose -5*t + 5 + 20 = 0. Put t, y, -5 in increasing order.\nAnswer: -5, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 653030 is divided by 88.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 2734 = 1366. What is d rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*z**3 + 10*z**3 - 12*z**3 + 7*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -6*l + l**2 + l + 0*l - 6. Let n = 6 - 0. Let p(y) = 2*y - 6. Let x be p(n). What is w(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z**2 - z**2 + 3*z**2 + 3*z**2 - 5*z**2 - 4*z + 3*z + z - z + z**2 + (-z**2 + 0*z**2 - z**2)*(-1 + 0 + 0) + 312 - 312 + 117*z**2.\nAnswer: 117*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 300294 divided by -11122.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 282 + -224. Calculate the highest common divisor of k and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-11) + 140\/(-77) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 806 divided by -31.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 8*c + 2*o = 8826, -c + o + 2202 = 0. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3.136289ml?\nAnswer: 0.003136289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7 + -193227?\nAnswer: -193220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 + p. Let b be g(1). Suppose f = 3 - b. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence szsv when four letters picked without replacement from evqzqjss.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 316, 1168, 2550, 4462, 6904, 9876?\nAnswer: 13378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 12:07 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 - 3*t**2 - 7*t - 7. Let r be k(6). Suppose 0 = 5*x + 15, r - 208 = -2*c + 3*x. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 365*p**3 - 299*p**3 - 349*p**3.\nAnswer: -283*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of -v**5\/20 - v**4\/6 + v**3\/3 - v**2 - 23*v + 3. Calculate s(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -11*y + 9. Let d(r) = 36 - 80 - 4*r + 33 + 14. Determine 17*d(t) - 6*l(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1173 and 17799.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -104 + 89. Which is smaller: -78\/5 or a?\nAnswer: -78\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-16)\/(-6)*(-3)\/(-2). Suppose -t*k - 2 = 14. Let w = k - -4. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssrryyvsssspvssy. What is prob of sequence sr?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 92 - 190. Let t = 109 + i. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkrkrkrrrkrr. What is prob of sequence rkrr?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78474785?\nAnswer: 5, 43, 383, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 2*n**2 - 4*n + 4. Let d(l) = 2*l**2 - 5*l + 3. What is 5*d(z) - 6*q(z)?\nAnswer: -2*z**2 - z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -61*c + 362. Calculate l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dyg when three letters picked without replacement from yynyncdccg.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(396)*2 + 0))**2 + (0 + sqrt(396) + -1 + sqrt(396) - (0 + sqrt(396))*2)**2.\nAnswer: 57025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120 = -3*r - 21*r. Suppose w - 117 = r*l + 39, -3*l = 2*w - 247. Is w less than or equal to 132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -25827 - -25833. Solve -f + 230 = -32*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*w = -21 - 96. What is the lowest common multiple of w and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -3 + (3*(sqrt(704)*-2)**2 + (sqrt(704) - -1*(sqrt(704) + 1)))*1.\nAnswer: 16*sqrt(11) + 8444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -342, -818, -1320, -1860, -2450?\n\"Answer: -2*y**3 - y**2 - 459*y + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/18 - (-73)\/(-657)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-10) - 115\/(-25). Let j(b) = -2*b**2 - 3*b. Suppose 0 = -2*n - 2*n + 16. Let c(g) = 2 - n*g - 5 - 3*g**2 + 8 - 6. Determine m*j(y) - 3*c(y).\nAnswer: y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1535107627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -10430, -1, -5, 3, 6 in increasing order.\nAnswer: -10430, -5, -2, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1.2, 0.2, -2\/21, 3.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/(-25)*(-20055)\/(-50806)?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c**2 - 30*c**2 + 2*c**2 + (c - 9*c + c)*(0*c + 2*c - 4*c) + (-2*c + c**2 + 2*c)*(-3 + 2 + 0) - c**2 - 3*c + 3*c.\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5808 and 624.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -2*r. Let p(w) be the first derivative of -2*w**3\/3 + w**2\/2 + 72*w + 2414. What is x(p(t))?\nAnswer: 4*t**2 - 2*t - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 23958.342 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/6 + 40\/24. Suppose 5*f + 2*u - 22 = -0*u, -5*u = -2*f + 3. Suppose 12 = 3*l + f*b, 3*b - d*b = 0. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of -2*a**5\/5 + 5*a + 2. Differentiate l(z) with respect to z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4760 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2248 is divided by 58?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 437, 436, 435, 434, 433, 432?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 times -0.04?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-12)\/(-189) - 4\/(-18). Let x be (-348)\/6525*(-540)\/24. Which is the third smallest value?  (a) x  (b) 1\/4  (c) 1  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 35873*x + 1 - 1 - 37163*x to the form j + t*x and give t.\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -353 divided by -932?\nAnswer: 353\/932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -528*b = -510*b + 90. Is -5\/11 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5 - (-4 + 6))*-2. Solve 1 = -3*g - u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1584) - sqrt(1584)*-4)**2 + sqrt(1584) - sqrt(11)) + 5.\nAnswer: 11*sqrt(11) + 39605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, o: 3, k: 10, b: 1, q: 1}. What is prob of picking 2 k, 1 j, and 1 b?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 152077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or 261?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 + 3*z)*(4*z**3 - z + z) + 1 - 1 + 2*z**4 to the form m*z**3 + f*z**4 + g + x*z + t*z**2 and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 619010 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 AM and 1:43 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -448*f**5 + 590*f**2 - 2*f wrt f.\nAnswer: -26880*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -334, -1366, -3090, -5506?\nAnswer: -8614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j. Let n(z) = z + 1. Let i(r) be the second derivative of 7*r**4\/12 - 21*r**3\/2 - 63*r**2\/2 - 15*r. Let p(o) = -2*i(o) - 126*n(o). Calculate u(p(b)).\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -20, -16, -3, 1.2, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from egmmqmembgmmmmmmqmmm. What is prob of sequence ggm?\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**2 - 13936*t - 13934 = 0.\nAnswer: -6967, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -3 + -2 + (-11 - -15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b - 3. Let z be h(-3). Suppose 4*s - 56 = -4*l, -2*s - 4 + 6 = z. What is the second derivative of -l*w**2 + 30 - 2*w - 30 wrt w?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (8\/(-10))\/((-54)\/45)*-3. Sort 5, 14, 0, z in increasing order.\nAnswer: z, 0, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*d + w, -3*d + 2*d + 6 = -3*w. Let a = 1599 - 1588. Suppose k + 60 = 2*j + a, -5*j - 2*k + 127 = d. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -281.\nAnswer: 4\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((0\/(-2))\/1)\/((-33)\/88*8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 10*y**2 + y. Let g be k(-1). Let z be 1\/(-1) - (-6)\/g. Let p = -0.142 - 0.358. Which is the smallest value?  (a) p  (b) 2  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3.4  (b) 0.7  (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*f + 19*f + 15*f + (-1 + 3 - 1)*(0*f + f + 0*f) - 2*f - 1 + 1.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 PM and 2:58 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 2 = 2*f - 9, 5*f = 3*v + 25. Let t = -5 + f. Let x = -5\/4 - -1. What is the closest to -1\/3 in x, t, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -85*p - 2031. Let c be f(-24). Solve 12 + 33 = -c*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 15, 3*b + 1 = 11*j - 13*j. Let x(f) = 9*f**3 - 11. Let l(r) = 13*r**3 - 16. Give j*l(a) + 7*x(a).\nAnswer: -2*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -275 + 150. Let t(d) = 2*d + 8. Let f be t(-6). Let x be (i\/30 + 4)*18\/f. Sort 2\/9, 0.5, x in descending order.\nAnswer: x, 0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z - 87 = -3*z. Let k = 31 + z. Let o(m) = 3*m**2 - 10*m**2 + 8*m**k. Let v(c) = -3*c. Give v(o(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 + ((-17 - 30) + 31 - -40).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 89.41 - -1.59. Let f = m - 88. Let p = -2.77 + f. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 127183 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2521041 is divided by 12238?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/7368 and -29\/22.\nAnswer: 81048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -78*z**2 - z + 1. Let v = -5 + 0. Let j(p) = 79*p**2 + p - 1. Let r(d) = v*j(d) - 6*s(d). List the prime factors of r(1).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**2\/3 + 325224*u - 3902752\/3.\nAnswer: 4*(u - 4)*(u + 243922)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 PM and 5:44 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/(-2)*(-144)\/20. Find the common denominator of 2336\/(-72)*(2 - b\/8) and 40\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the first derivative of -5*s**3\/3 - 27. Let z(j) = 2*j**2 - 10*j**2 - 6*j**2. Let n(q) = 17*u(q) - 6*z(q). Let f(m) = -10*m. Determine n(f(a)).\nAnswer: -100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -188 - -606. 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 529548615 - -0.2?\nAnswer: 529548615.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 2*c + 67. Let x be c\/36 + 23\/4. Suppose -6 = -3*q, -2*a + 3*a + 5*q = 13. Solve -x*d - 7 - a = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 953080116 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 10  (b) 12  (c) 5  (d) -2\/129\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1224 = 218*h - 65*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 3*r + o - 28, -5*r + 25 = 5*o. Is 16 a factor of 40\/(6 - 46\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 430*d = 598*d - 8904. Solve -d*v + 135 = -80*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of q**8\/420 + q**6\/180 - 13*q**4\/12 + 3*q. Let a(g) be the third derivative of z(g). Find the second derivative of a(y) wrt y.\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 - 39*k**2 + 104*k - 42. What is the tens digit of b(40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7531.9161 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.3, 11, -2\/7, 9, -2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 944870677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 131642932 to the power of 1\/2, to the nearest integer?\nAnswer: 11474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 98431704 a multiple of 5054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 246 - 172. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -45\/16193884 and -35\/6.\nAnswer: 48581652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/3  (b) -1\/4  (c) -0.129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8171191*t - 4084508*t - 4086682*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ut when two letters picked without replacement from utttttuttttutttt?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -44494*x**3 - 2*x**2 + 1315*x wrt x.\nAnswer: -266964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hbi when three letters picked without replacement from hhhhibqqhhjbhq.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 397 - -879.72052?\nAnswer: 1276.72052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -8*y - 541. Give d(-50).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 AM and 12:29 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 - 2*t - 4. Let w be h(-2). Let r(g) = 3*g + 2. Let z(f) = f + 1. Give w*z(m) + r(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -3*j**2 - 144*j + 124. What is y(-49)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.7 - 1.7. Suppose 4*g = 4*c - g - 12, -3*c - 2*g = -32. Let v be 6\/c*4\/(-1). Put o, -0.2, v in descending order.\nAnswer: o, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 PM and 9:06 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0385238 take away 225?\nAnswer: -224.9614762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 176 + -179. Put -0.5, m, -0.1 in descending order.\nAnswer: -0.1, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 1:08 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 231*i. Let v(m) = -51745*m. What is -1343*q(s) - 6*v(s)?\nAnswer: 237*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63\/54*6 - (2 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 6, d: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.13, -4, 11, 15523 in increasing order.\nAnswer: -4, 0.13, 11, 15523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -1.55  (b) 3  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*d - 4*l - 1, -2*d - 48*l = -53*l - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 93945.941 from -30407.\nAnswer: -124352.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*p - 74*p - 455 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 274100706 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -395*h - 1683 - 260 - 427 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1099, -176, -1 in descending order.\nAnswer: 2, -1, -176, -1099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - 5176?\nAnswer: -5200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35316 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((21\/(-2))\/(-3))\/(71\/142)*295\/5605?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) 1.8  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23.6 + -23.7. Which is the nearest to m?  (a) 2\/3  (b) 0.5  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 98*k - 76*k + 105*k + 235*k + 34*k + 175*k.\nAnswer: 571*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**2 + 4216*l - 71087. What is n(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w + 1. Let y(i) = -7*i - 11. Let j(d) = y(d) - 6*z(d). Let r be j(-7). Let b be 2\/10 - (-6100002)\/r. Round b to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p - 11. Let h be t(-8). Let i = h - -75. Suppose 5*b - 29 = i. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -276 and -0.08?\nAnswer: 22.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of -r**6\/40 + r**5\/15 - r**4\/6 + r**3\/3 - 4*r**2. Calculate b(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 8*c + 7. Put 0, 119, 1, c in descending order.\nAnswer: 119, 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from ububuuubbbbuubuubbb.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -15 (base 10) to base 5\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3849*g + 3863*g - 140 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 2*f - f = 0, 0 = -y + 4*f + 19. Is (-321)\/y - (-24)\/18*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of -q**7\/504 + q**6\/180 - q**5\/60 + 11*q**2. Let r(d) be the third derivative of w(d). What are the prime factors of r(-10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5, -9, -0.5, 3 in descending order.\nAnswer: 3, -0.5, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -155*h. Let m(c) = -43*c**2 - 44*c**2 + 114*c**2 - 23*c**2. Determine m(x(y)).\nAnswer: 96100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 24758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*p + 14*p + 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 2\/7  (b) 2\/3  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of 1\/8*d**6 + 13\/60*d**5 + 0 + 0*d**4 + 0*d**3 + 0*d + 3*d**2. What is the third derivative of p(x) wrt x?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 90 + -86 - (-1 - (2 + 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 3 u when four letters picked without replacement from {l: 7, u: 9}.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -995*g**2 + 71640*g + 11. Give w(72).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 l, and 1 o when three letters picked without replacement from onlorn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18 is divided by 2\/(-9) + 276\/27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2223 or 2?\nAnswer: 2223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 961.4252 weeks to days.\nAnswer: 6729.9764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/2)\/s**(-8))**44*(s**1)**(5\/12)*s**6\/s*s**5*s assuming s is positive.\nAnswer: s**(4097\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v + 7*v - 3*v**2 + 2*v**2)*(47*v**2 + 105 - 105)*(1 - 3 + 5).\nAnswer: -141*v**4 + 705*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7116?\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -892, -3564, -8010, -14224, -22200, -31932, -43414, -56640?\nAnswer: -71604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14017, -28042, -42075, -56116, -70165, -84222?\nAnswer: -98287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*k**3 - 28887*k**2 + 4921*k - 33 wrt k.\nAnswer: 24*k - 57774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(1300) - (sqrt(1300)*-1 + sqrt(1300)))*5 - (2 + 0 + sqrt(1300) - sqrt(1300)))*3)**2.\nAnswer: -16200*sqrt(13) + 2632824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -9  (b) 30  (c) 1  (d) 2\/11  (e) -526\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of k**4\/12 + k**3\/2 + k**2 + 3*k. What are the prime factors of a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 414\/276*((-6)\/27 + (-16)\/(-18)). Solve -i + 5 = 0, -3*z = -z + i + h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqqnnnqyqqyyqqqyqay. Give prob of sequence qaq.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.007844 and 80.86?\nAnswer: 80.867844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (260\/(-60) - -4) + 9\/3\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/5 or 487591?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + 1116?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -16453\/84 less than or equal to -196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 97.999997422 - 98. Round o to seven dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 254, 16, -1, -4 in decreasing order.\nAnswer: 254, 16, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.9 - 45196986287173.\nAnswer: -45196986287173.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dtkgoag. What is prob of sequence at?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138*s - 133*s - 70 = 0. Calculate the lowest common multiple of s and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 1 - 2)*(2*s + 0 + 0)*(-4 + 4 + 3*s)*(4*s + 0*s - 3*s + (-2 - 7 + 2)*(-2*s + 3*s + 0*s)) in the form v + g*s**2 + y*s + a*s**3 and give a.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 2*u**2 + 2*u - 4. Let z be o(-3). Let s = z + -20. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -4*z + 16, z + 5*u = -z + 8. Suppose -3*p = -p - z. Suppose -8 - 2 = -p*f. Solve 2*c = 5*x + 15, f - 2 = c - x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -275 - -278. Suppose 28536 = 3*j + v*d, d - 38045 = j - 5*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 28053*w + 10909.\nAnswer: 28053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34084.\nAnswer: 2, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from {e: 2, f: 2, k: 1, t: 1, r: 1, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2 + 2244018*b - 2244020.\nAnswer: 2*(b - 1)*(b + 1122010)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 196505367*u**2 - 141567662*u wrt u.\nAnswer: 393010734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 5*2*(1 + sqrt(1900)) + 1*sqrt(1900)*1 + -4 + (0 + sqrt(1900) - sqrt(1900)) + -3)**2 + 4.\nAnswer: 1100*sqrt(19) + 229929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 + 20. Suppose x = y*x - 5*l - 27, 9 = 3*x + l. Which is the nearest to -0.1?  (a) x  (b) -3\/4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.663775 - -354.\nAnswer: 353.336225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 - 7*f**2 + f + 1. Let n be r(-7). Let t = n - -7. Are 1 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -6\/88125563?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*m**5 - 5008*m**4 + 10084*m**3 + 65152*m**2 - 70320*m - 120384 = 0. Calculate m.\nAnswer: -1254, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 - 14 - (1 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*-0.365.\nAnswer: 2.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p**2))\/p**(-1\/3))\/(p**(-2\/3)*p*p**(-7)) assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 191 - 109. Let r = a + -46. What is the highest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 147 and 3487932?\nAnswer: 24415524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 - 5*u - 6. Let l be m(5). Let w be (-44)\/(4\/l*1). Let h be w\/(-77)*-2*7. Solve c - 5*c = -h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**15)\/(n*((n**8*n)\/n)\/n) assuming n is positive.\nAnswer: n**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 2*d + 3301*q - 3297*q, 0*d + d = -4*q + 7 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -249*b - 206*b + 67*b - 336*b + 142*b.\nAnswer: -582*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 50730 - 49053 - c - c + 4*c**2 + 0*c**2 to h + j*c**2 + p*c and give h.\nAnswer: 1677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 57303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 47274199?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away -4.682?\nAnswer: 4.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4329.92104 less than -9793?\nAnswer: -14122.92104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -137*w + 11 - 11 + 1.\nAnswer: -137*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1273223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-629 + b - 495 + 1471 - 805)*(0*b + 3*b - b).\nAnswer: 2*b**2 - 916*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 903 is divided by (-716)\/8*420\/(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 6*h + 12. Suppose 2*q - 5 = -h*q. Solve 2 = -3*b - q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 693252 is divided by 14750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 18 = 4*a - 10, 4*h = 10*a + 40 - 80 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/(-6))\/((-17)\/(-204)). Let h be (k + 1 + 3)\/(-4)*-1. Sort -4, h, 3, 1 in ascending order.\nAnswer: -4, h, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3397 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 4)*(778*l + 36*l**2 - 780*l + 46*l**2).\nAnswer: -164*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 843 + -852. Let l(n) = 8*n**2 + 4 + n**3 - 8*n - 5 + 13. Let m be l(r). Solve -2*k - 5 + m = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s**(2\/3)\/s))\/s)**(2\/41)*s**(4\/7)*(s\/(s*s**(-2\/19)))\/s*s assuming s is positive.\nAnswer: s**(10538\/16359)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1262 + 97 + 1898 - 3*u**2 + 0*u**2 + 2*u**2 - u**2 + (2 + 1 - 1)*(-4*u**2 - u**2 + 3*u**2).\nAnswer: -6*u**2 + 3257","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 10*u**2 + u - 2176. Let w(o) = -6*o**2 - o + 1. Give -w(z) - y(z).\nAnswer: -4*z**2 + 2175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146*b - 13 + 47*b + 51*b + 50*b.\nAnswer: 2*b - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1201 (base 10) to base 15.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 126157575 and 3150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*s + 1624 = -58*s + 9*s for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 613*541210.\nAnswer: 331761730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -276*s - 113*s**3 - 180*s**2 - 21*s**3 - 13*s**3 - 3*s**4 - 240*s**2.\nAnswer: -3*s*(s + 1)*(s + 2)*(s + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s + 32708 - 32741 = -3*m, 11 = m - 5*s for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 52\/204315 and 36\/17?\nAnswer: 3473355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 1:30 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (52\/(-39))\/(48\/(-27)) - 49\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1799.1 + -1824. What is n rounded to zero decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 4116*l - 19 + 4120*l - 12356*l + 4128*l. Let o(f) = -5*f + 13. Give -7*o(z) - 5*x(z).\nAnswer: -5*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/2, 24, -0.17, 0.212, -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from {u: 6, y: 1, n: 7, c: 5}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 274630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 145 - 97. What is the remainder when h is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*2\/6*(-6)\/(-8). Let g be 16\/(-10) + (2 - 1). What is the nearest to 1 in t, g, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (30\/(-24)*(-36)\/(-10))\/((-9)\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40813571.97000053 + -40813573. Let g = -1.03 - y. Round g to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1291470 less than -906?\nAnswer: -1292376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/1123603 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 AM and 7:34 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-20)*((-1800)\/16)\/15*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/3  (b) -5  (c) 1  (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, b: 1, r: 3, e: 1}. Give prob of sequence brn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -2*t**3 - 6*t + 6. Let p(v) = -6*v**3 - 17*v + 17. Suppose q = -11 - 6. Give q*o(z) + 6*p(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 44\/(((-72)\/225)\/((-226)\/(-565)))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*s = -31*s + 188 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-395)\/869*19\/((-19)\/(-12))?\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 - 7*w - 7. Let s(d) = d**3 - d - 2. Let o be s(-2). Is z(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3514776, -7029561, -10544348, -14059137, -17573928, -21088721?\n\"Answer: -t**2 - 3514782*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 - 5*d**2 + 5*d - 6. Let l be b(-6). Let k(f) = -88*f - 6068. Let q be k(-69). Solve l*c + q*c = -8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -8  (b) 1\/4  (c) -0.6  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 + 4)*(2*c**2 + c**2 - 4*c**2)*(1 + 3 - 5 + (-3 + 4 + 1)*(-2 + 2 - 1) + (5 - 1 - 3)*(-5 + 4 + 0) - 1 + 3 - 4).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**(-21)\/l)*l\/l**(-5\/7))\/(l**(2\/5)*l*l)**47 assuming l is positive.\nAnswer: l**(-3083\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -1 - (234 - 238)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**2 + 2*u. Let k be j(-2). Let o be ((k + 0)\/(-3))\/(-1). Solve o = d - 2*l + 7, d - 3*l = -0*l - 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - 116170?\nAnswer: -116166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10122100 - 10?\nAnswer: -10122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + w. Solve d = -3*g - 1, -2*g - 4*d + w = -6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.369077kg?\nAnswer: 369077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6960 and 9248?\nAnswer: 4022880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/2)*s)**(-2) assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 - 863*m + 11940. Let j be g(14). Calculate the greatest common factor of 32454 and j.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1562 - -1a5?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-d + 87 - 87)*(-1 + 0 - 1) + 6*d - 20*d - 16*d)*(-3 + 1 + 0)*(-2*d - d - 2*d) in the form y*d**2 + t*d + b and give y.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6965 is divided by 205?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2458 and -0.316.\nAnswer: -776.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -7*g**2 + 5*g + 7. Let b(j) = 8*j**2 - 7*j - 7. What is -2*b(o) - 3*p(o)?\nAnswer: 5*o**2 - o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 80 - -157. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 974653117.\nAnswer: 974653117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14 and 1389556?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 1515.\nAnswer: 4\/1515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -397, -389, -367, -325, -257, -157, -19, 163?\n\"Answer: r**3 + r**2 - 2*r - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 266 + 278. Is (-366249)\/26*(-4)\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v, 1 x, and 1 t when four letters picked without replacement from {w: 2, x: 3, s: 2, t: 1, v: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (303\/2)\/((-18)\/24). Let k = -3251\/16 - d. Calculate the common denominator of -49\/36 and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uufhuhfffu. What is prob of picking 2 u and 2 f?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 5*k + 5. Let b be w(3). Suppose 4*y - 8 = 0, 2*y + 0*y - b = -4*x. Solve -x = 3*o - o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 2 = -q. Let y be 2 + -4 + q + -1. Let d(v) = 2*v**2 - v - 1. Let j be d(y). Solve 0 = -j*i + 5*i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 892*i + 97233. What is l(-109)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 + 9*i**2 + 14*i - 17. Let v(f) = 14*f**2 - 98*f + 78. Let n be v(6). Give s(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 - 29*b**2 + 29*b - 28. Let t be s(28). Is 14\/97 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26 + 17)*((-1)\/4 + 32\/640)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ruuvrrrvrvuvv. Give prob of picking 2 u and 2 v.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + (1 - -9) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/6 and -169\/294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - b - 15. Let z = 3 - b. Let x(v) = v - 1. Let g be x(5). Put z, 2, g in decreasing order.\nAnswer: g, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8*(-45)\/7920*-11\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-87048)\/240)\/(-31) - 6\/(-20)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 26 = 2*n, 4*p + 15 + 5 = 0. Suppose 2*h + 76 = -4*g, -5*h = -113*g + 108*g - 80. Are n and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 63052 and -1?\nAnswer: -63052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(9)\/sqrt(192) + 5 + sqrt(192) + (sqrt(300) + -4)*3 + -5)**2.\nAnswer: -915*sqrt(3) + 288291\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 207*r - 888*r + 147*r to the form l + h*r and give h.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -442, 18, 1376, 3632?\nAnswer: 6786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*k + 312*k - 87*k - 142*k - 11790 + 11790.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - ((-247)\/38 + 12\/40).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6131284 (base 9) in base 4?\nAnswer: -30131323321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v + 2*l - 170, 0*l + 3*l = 15. Let q be (142\/118646)\/(4\/9420). Let c = q - 2\/5393. What is the common denominator of v and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/16 - 6*(-281)\/8. Let d = 380 - g. Calculate the remainder when d is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1294536, -1295470, -1296404, -1297338, -1298272?\n\"Answer: -934*n - 1293602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*r + 7*r. Suppose 0 = 2*o + 2*x, 0 = 5*o + r*x - 13 + 4. Suppose o*n - 34 = n. What is the remainder when n is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 339*j - 1989012 = -4*u + 347*j, -3*j + 497263 = u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12748126813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 0 + (-6*-2*sqrt(171))**2.\nAnswer: 24619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 0) + -11 + 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((3\/3)\/(-5))\/(4\/12).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 111 + -53. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11\/151 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 183 + 79 = -19*s + 15 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 3*d - 9. Let a be q(6). Suppose -8 = -2*p - x, -2*x = -5*p + a + 2. Suppose 2*l = -5*u + 35, -u - p*l = -21 + 1. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2285.61*-11\nAnswer: -25141.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2004 and 218937.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a factor of 8297355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 735355274.\nAnswer: 2, 367677637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-39 - 12 - 27)*(-2*n - 3*n + 3*n)*(0*n + 0*n + 2*n).\nAnswer: 312*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes after 7:01 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/(-20) - -2 - (-49)\/196?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 211\/40 - 39\/8. Let j be 728\/(-35) + (-1)\/5. Let a be (-12)\/36 + (-5)\/j. What is the nearest to w in 3, -2\/15, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 960195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -1*sqrt(832))*1 - (sqrt(1300) - (sqrt(1300) + (sqrt(1300)*-3*-4 - sqrt(1300))))**2*-4.\nAnswer: -8*sqrt(13) + 629198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -17, -40, -61, -80?\n\"Answer: i**2 - 26*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3288 + 3290 - 6577 + 1360*w)*(-w - w + 0*w).\nAnswer: -2720*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 252 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -261*x + 1034*x - 263*x - 256*x + 10 - 256*x.\nAnswer: -2*x + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 40685*w - 18. Let l(f) = -8*f. Calculate l(z(j)).\nAnswer: -325480*j + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -27*f - 84. Let w be y(9). What are the prime factors of (w\/(-3))\/(2\/14 + 0)?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -420624680 to the nearest one hundred thousand.\nAnswer: -420600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 11*s**2 - s + 1. Let d be b(11). Let l be (-2)\/9 - (-476)\/36. Suppose -35 = 2*x - l. Is d greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/11*d - 26\/11 - 2\/11*d**3 + 26\/11*d**2 = 0. What is d?\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.3 - 0.1. Let s be (-18)\/(-30) + 938\/(-1580). Let i = s - -235\/316. Which is the nearest to 2\/7?  (a) i  (b) 0.1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*p + 2489 - 432. Let v = 90 - p. Let n = v + 65\/2. Sort n, 2\/17, 1\/3 in increasing order.\nAnswer: 2\/17, 1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4461586.\nAnswer: 2, 23, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + 6. Let i = -12.3 + t. Which is the biggest value?  (a) 0.5  (b) -3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lzsccccsh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of m**5\/10 + m**4\/12 - 5*m. Find the third derivative of h(d) wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.3 - -3. Let w = r - -2. Let v be (-2)\/(-8) + (-2)\/4. What is the third biggest value in v, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 2 k when four letters picked without replacement from {k: 2, c: 11, a: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*x**3 - 2 + 48*x + 44*x - 94*x in the form g*x**2 + a*x**3 + y + u*x and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 - 3*r**2 + 4*r + 1. Let w be v(-4). Let h = w + 1. Solve -p = -4*d - 15, d + 5*p + 11 - h = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 25 = -0*a + 5*q, -3167*q - 3 = -3164*q for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12 + -133?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add 7755695628 and 383.\nAnswer: 7755696011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/6 + 20\/6. Suppose -h*u - 2*x = x - 18, -6 = -5*u + x. Let y = -1.2 - -1.4. Which is the closest to -1?  (a) y  (b) 2\/11  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 213.3132 + -78.288. Let z = -135 + w. What is z rounded to three dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -125\/1116 and 161\/396.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6845 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -78708.39 and 2.\nAnswer: -157416.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 172 divided by -3\nAnswer: -172\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 128*y**5 + 521*y**4 + 460464*y wrt y.\nAnswer: 2560*y**3 + 6252*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t + 13*t + 0 - 2 + 1. Let h(c) = 13*c - 1. Let w(z) = -6*h(z) + 5*o(z). List the prime factors of w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 - -11. Suppose -2*t - 1 = -m, o*m + 5*t - 52 = -5. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -50\/10137 and 3\/1736.\nAnswer: 567672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 40 = 4*s, -5*s + 50 = 2*j + 3*j. Let y = j - 10. Let m = 3.1 - 3. What is the third smallest value in y, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b - 2. Let a(q) = 3*q + 10. Let y(w) = -8*w - 30. Let d(g) = -10*a(g) - 3*y(g). Suppose -28 = 4*r - 92. Give r*p(k) - 3*d(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 66  (b) 0.04  (c) 5  (d) -44  (e) 0  (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -157 - -287. What is the least common multiple of 22 and c?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 - 8*k + 12. Let j be o(-9). Suppose -20 = -4*d, s - j*d = -s + 9. Suppose -10899 = s*c - 21*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 148 = 4*f, 2*i = -f + 37 - 0. Suppose -3*j + 4*l + 35 = 0, -5*j + 14 = -3*l - f. Suppose -j*w = -11*w + 46. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22495369.\nAnswer: 13, 17, 101789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1942*r**2 - 61*r + 2 - 8 + 29*r + 32*r.\nAnswer: -1942*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(10\/350*14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 0*m = 5*m - 20, 5*r + 2*m = 8. Let v be r - -2 - (1 + 4). What is the closest to -1 in 0, 2\/3, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0012826 to 5 dps.\nAnswer: -0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 247*l + 44396. Determine s(-176).\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -23*v**3 + 3*v**2 + 2*v - 1. Is u(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 14903603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -13 bigger than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*t + 14 = 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 - 5*c**2 - 6*c + 5. Let n be y(6). Suppose 20 = -0*d + n*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*f + 5*f - 165. Let n be (-37449)\/f + 12\/66. Suppose -6*z + 11545 - n = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150 = 13*j + 17*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -12185221.8+0.3\nAnswer: -12185221.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 2.570905\nAnswer: -10.28362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -133, -277, -421, -565?\n\"Answer: -144*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38.88731 centimeters to millimeters.\nAnswer: 388.8731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -90, -121, -182, -279, -418, -605?\n\"Answer: -m**3 - 9*m**2 + 3*m - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 9 - 23. Let r be ((-20)\/(-30))\/((-2)\/(-3)). Let w be r\/(5*(-4)\/(-80)). Solve w*x = -t + 28 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 6*x - 4*d = 628, -3*d = 3*x - 441. Suppose 0*c - 4*c = -x. What is the remainder when c is divided by (-8)\/(-16) + 50\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.08 + -5.08. Suppose -3*h + 19 = -0*i + 5*i, 5*h = -4*i + 36. Which is the closest to 2\/5?  (a) h  (b) q  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -7*((-312)\/(-84))\/(-13). Solve 4*p = 3*r + 24, a*p - 34 = 7*r - 0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 13, a: 3, n: 2, u: 2}. What is prob of picking 1 a, 1 k, and 2 n?\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3766129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -243234331 (base 5) to base 2\nAnswer: -100011000100110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 155\/32118 and 17\/2211690.\nAnswer: 223380690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 945415939.\nAnswer: 13, 89, 817127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2043400 divided by -10.\nAnswer: -204340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + 0 + (2\/(-1) - -4). Suppose 5*y - 305 = -a, -y = -m*y + 3*a + 122. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 2170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, b: 7, h: 7}. What is prob of picking 1 c and 3 h?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 8:56 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13 - -11)\/(10 + 0)*-10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2656012 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 206529276 by -1308.\nAnswer: -157897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*v**2 + 33*v**2 - 20*v**2 in the form x + l*v**2 + i*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - -2. Suppose 3*b = 6*b - c - n, -5*b - c + 5 = 0. Let s(j) = -5*j + 1. Determine s(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.482 times 344\nAnswer: -853.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*t - 3*t + 2814 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8439 + -8438. Let y = -0.5 + -2.5. Let l = 20 + -11. Which is the third biggest value?  (a) g  (b) l  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14808 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: Is 14 a factor of 28244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 3*v - 15, -2*v + 0 = -5*x + 16. What is the lowest common multiple of x and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2725544 (base 9) in base 8?\nAnswer: -5544675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/((-272)\/(-85)) + 274\/(-8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*n + 1)*(-2*n**4 + n**4 + 3*n**4 + (0*n - 3*n + 5*n)*(-3*n**3 - 12 + 12)) + (-3*n**3 + n**3 + 0*n**3)*(-4 + 4 + 12*n**2).\nAnswer: -16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -241*z**3 - z**2. Let y be -1 + 3 + -3*1. Let p be w(y). Suppose 159 = -2*q + 4*q + g, p = 3*q + 3*g. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3\/7)*i)**(-20)\/(i**(1\/5))**(-1\/53) assuming i is positive.\nAnswer: i**(-21193\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 + 7*x**2 - x + 4. Let z be k(7). Let c = -2889 + 2890. Put 0, c, z, 5 in descending order.\nAnswer: 5, c, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -953*g**4 - 2*g**2 - 232 wrt g?\nAnswer: -22872*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -140308680503 + 2*r + 140308680503 - 5*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 56905 rounded to the nearest 1000?\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2572, -2567, -2550, -2515, -2456, -2367, -2242?\nAnswer: -2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - -32200033?\nAnswer: 32200023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x = -4*x - 8. Solve 0*s - 2*s = c - 5, 11 = x*s + c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-15614296)\/(-1041032) - (-2 - -17). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.014526718 and -0.1.\nAnswer: -0.0014526718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42447957, -3, 1.\nAnswer: -3, 1, 42447957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 7*k - 12*k. Find the third derivative of -23*i**2 + 32*i**2 + 0*i**k - i**5 wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -7*h**6\/30 + 9*h**5\/20 + 11*h**4\/4 - h**3\/2 + 142*h. What is the third derivative of q(r) wrt r?\nAnswer: -168*r + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 322 and 322.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) 2\/3  (c) 1\/3  (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 150 + (-76 - -54) + -68\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 25520919 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 126*a = 27*a + 782496. What are the prime factors of a?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -3  (b) 79  (c) -310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**47*(v*v**(20\/11)*v)\/v assuming v is positive.\nAnswer: v**(548\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, 1, -21 in decreasing order.\nAnswer: 1, -21, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 24329181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + 253*m + 1. Let l(w) = -w**2 + 168*w + 1. Give 7*l(g) - 5*o(g).\nAnswer: -2*g**2 - 89*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6651, 11776, 15371, 17436, 17971, 16976?\nAnswer: 14451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3380 - (2 + (-9 - (-3 + -2)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 312, -23084, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 15) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 22 = 4*z, 0*z + z = 5*m + 28. Let o(l) = -l**2 - 3*l + 4. Let p be o(m). Is p <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4016 smaller than -4016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) 7.6  (c) -4  (d) 0  (e) 1\/3  (f) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 2*l**2 - l - 16. Calculate g(-7).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 4*t - 4 = 0, -2*t + 4*t - 24 = -5*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**3\/i**(4\/5)*(i*i*i**1)**41)**(2\/33) assuming i is positive.\nAnswer: i**(1252\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 101292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 - 14 + 2*k)*(4 + 0 - 1).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*d + 45 = -10*d. Solve 3*t - 10 = -2*k, -k = 2*k - d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25.6 + 26. Let z = -0.24 + -0.06. Let y = -2 - -1.6. Which is the biggest value?  (a) t  (b) y  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2226 divide 145238721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12614, -25229, -37844, -50459, -63074, -75689?\nAnswer: -88304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.38396585 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 5*q + 147 = 2*x, 0 = 5*q + 15. Does 22 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -2\/3, 1092, 0, -21.41 in ascending order.\nAnswer: -21.41, -2\/3, -0.4, 0, 1092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 5*a - 53, 31*g - 213 = 26*g - a. Solve 4*c + 27 - g = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72809?\nAnswer: 11, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*5*(sqrt(143) - (sqrt(143) + (sqrt(143) - -3*sqrt(143) - sqrt(143))))*2)\/((sqrt(121)*-5)\/sqrt(11) - sqrt(33)\/(sqrt(24)\/sqrt(8))).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1738, -3771, -6030, -8515, -11226?\nAnswer: -14163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 1:50 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -21187.46 rounded to the nearest ten?\nAnswer: -21190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 160815894 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 - 2)*(-3*d + 2 - 2)*(3 - 1 - 1)*(-10 + 3*d + 10)*(2*d - 4*d + 3*d) as x + f*d**3 + u*d**2 + k*d and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29*d**3 + 61 + 2*d**2 - 61)*(0 + 1 - 2)*(-4 + 0 + 1).\nAnswer: 87*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 2*w. Let r(p) = 4*p + 3. Suppose -2*y - 5*u + 2 + 1 = 0, -4*y + u + 17 = 0. Let s(i) = y*h(i) - r(i). Let g(j) = -j + 1. What is -4*g(m) - 2*s(m)?\nAnswer: -4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 11.54  (b) -0.33  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3804 - -40?\nAnswer: -37b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2347 - 2338. Suppose -11 = -3*u + 22. Which is bigger: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -3*k**2 + 5. Let f = 93 + -86. Let g(r) = 5*r**2 - 7. Determine f*l(q) + 5*g(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h\/(h*h**(1\/15))*h*h*h**(-1\/4))**(-10\/11))**45 assuming h is positive.\nAnswer: h**(-3315\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 5*t**2 - 2*t - 4. Let x be m(-5). Let l = x + -2. Which is the second biggest value?  (a) -3  (b) -3\/2  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2984 - -2984. Solve o = -123*g + 119*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 5:50 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 take away -38505?\nAnswer: 38484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 49 + 35 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of -j**3\/6 + 9*j**2 - j. Is b(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1623321 + 1623325. Factor 28\/9*g**3 + 8*g**2 + 22\/9 + 68\/9*g + 2\/9*g**l.\nAnswer: 2*(g + 1)**3*(g + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 + -2. Let y = v - -26. What is the least common multiple of 8 and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9410455 is divided by 52.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 6*v**2 + 14*v - 12. What are the prime factors of q(5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-3))\/(-9*(-19)\/(-1026)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + 1b40?\nAnswer: 1b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -19 + 18 + -2 + 3 - 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 PM and 10:40 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 2:21 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(48) + sqrt(192) + 1.\nAnswer: 1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*(((c\/(c*c*c**(-11)))\/c)\/c)\/c)\/(c*c**(-14))*(c*((c**(-7\/3)*c)\/c)\/c)\/(c*c**(-8\/9)*c) assuming c is positive.\nAnswer: c**(158\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108)*-2*1)**2 + sqrt(6)\/sqrt(2)*-5*-5.\nAnswer: 25*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {e: 3, q: 2, k: 4, z: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -69813, -134414, -199015, -263616?\nAnswer: -328217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 + 8*a + 309. Let x be k(-14). Solve 2*d - 16 = -3*g, 3*g = -d + 2*d + x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 3)*(-3*k - 4*k + k + (1 + 0 + 3)*(2*k + k - 4*k) - k - k + k + (-2*k + 4*k + 0*k)*(4 - 2 - 1) + 3*k + 0*k - 4*k - 2 + 0*k - k - k).\nAnswer: -36*k - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -3, -0.5, -32?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 2\/7, 0.6, -9, 11\/8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.06 - -6.94. Let r = n + -7. Let m(u) = u**2 - 3*u - 7. Let z be m(5). Sort -1\/3, r, z.\nAnswer: -1\/3, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - -1. Suppose 2*p + t*p - 8 = 0. What is the third derivative of 7*b**2 - 2*b**2 + 0*b**p + 3*b**5 + b**5 wrt b?\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3 + -3*sqrt(42)\/sqrt(6)).\nAnswer: -12*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*v**3*y**3 - 98*v**2*y**3 - 1188*y**3 wrt v?\nAnswer: 6*v**2*y**3 - 196*v*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/240592 and 179\/120.\nAnswer: 3608880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 186384, 372839, 559292, 745743?\nAnswer: 932192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 37 + -21. Let o = 4 + c. Let b = -9 + o. What is the highest common factor of 88 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of -89*h**3\/3 + h**2 - h - 493. Calculate g(1).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 371.068 + -365. Let h = -6 + i. What is h rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -2. Let c = 0 + k. Solve 0*x = c*r - 2*x + 2, -13 = 3*r + 2*x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 4*k - 32, -w = 2*k + 4*w + 12. Let q be 27\/k + 9\/(-12). What is the highest common divisor of 24 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-3)\/((-12)\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5 + -4 + -3 - -7) + -2. Let r(l) = 3*l**2 - l - 4. Let h(q) = -3*q**2 + 2*q + 5. Calculate a*r(i) + 2*h(i).\nAnswer: 3*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = -4*k - 21, 2*k + 5*d + 57 = 60 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 100584 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 307, 262, 211, 148, 67, -38, -173, -344?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/6)\/(1\/3). Let n(l) = 5*l**p - 2*l - 1 + 2 + 3 + 17*l. Let x be n(-4). Calculate the greatest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/29569446 and 77\/820.\nAnswer: 295694460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + 2*a + 3*a)*(-2 - 3 + 1) - 19 + 61*a - 30*a - 28*a.\nAnswer: -25*a - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5495528 is divided by 6519?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*t - 24 = 71*t. Which is bigger: 2\/9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2223 + 170?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a tonne in kilograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-412)\/515 - 128\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -29 + 41. Let t be 3*4\/w*0. Suppose -4*i + 5*f + 24 = -2*i, 0 = -2*i + 3*f + 16. Solve t*u = -i*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2661 - 1456. List the prime factors of b.\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**2 - 8020*q - 957336.\nAnswer: 4*(q - 2118)*(q + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**3 - 20155*l**2 - 241240*l - 401900.\nAnswer: -5*(l + 2)*(l + 10)*(l + 4019)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4886, -9506, -14126?\n\"Answer: -4620*r - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/2013 and -14\/27.\nAnswer: 18117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -73*m**2 + 465*m + 50. Determine t(6).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -294 - -296. Suppose g*d - 30 = -5*k - 139, d + 37 = k. Is d at least -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1665 by -6.\nAnswer: -555\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 + 0.25. Let y = -546405.9500002 - -546406. Let f = y - l. What is f rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sss when three letters picked without replacement from smmsmsssmm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 PM and 11:25 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 94 = -3*h - 96, -2*y - 2 = -h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 377895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 24956 - 10161?\nAnswer: 147a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100 (base 3) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -297*f**5 + 2*f**4*t + 37*f**2*t - 4*f**2 - 2*t wrt f?\nAnswer: -17820*f**2 + 48*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -137*j + 7361681 = 196*j - 22*j. List the prime factors of j.\nAnswer: 23671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3996770\/(-4)*((-192)\/80 - (2 - 4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (132 - 134) + (0 - (-46)\/2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 divided by -62258?\nAnswer: -15\/62258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-96)\/7 + (168 - 154). What is the fourth biggest value in 0.1, -2\/7, -5, q, -60?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from ymztzmmzmzyyzdzz.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xnnppnpnxxxnxnxnn. What is prob of picking 2 p?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 3 = 4*r, 5*r + 2 = 4*i - 2. Is 3407 + r*(-2)\/8*-4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -377030.64850271 and 0.\nAnswer: -377030.64850271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 59 + -59. Suppose d = -2*b - 5*i + 17 + 12, -2*b - 11 = -3*i. Suppose g + 5 = b*g. Solve 12 = 2*s - 3*w, -s - w + 2*w = -g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4026757.\nAnswer: 7, 575251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (58\/6 - 2) + 2\/(-3) - 12778271\/1868759.\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 0.13, -2\/11, -0.1, -4\/27?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -80*k**2 + 745*k + 323. Calculate m(10).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 9:51 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 51831871?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(2 + sqrt(22)\/(-1*sqrt(22)\/sqrt(2))).\nAnswer: -6 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 441736?\nAnswer: 3975624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do -1\/8 and -852 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 6:32 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t**2 + 4*t - 2. Let f be m(2). Let g = 5 + f. Solve 4*k - g = 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001623 rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4755095, -4755093, -4755091?\nAnswer: -4755089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a**4*a\/a**(-2\/15)*a)\/((a**(2\/25)*a)\/(a\/(a*a*a*a*a*((a*a**6\/a)\/a)\/a))) assuming a is positive.\nAnswer: a**(-71\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -0*k. Solve -2*g + 3*m - 9 + 1 = 0, -5*g - m - 20 = k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a = 3*a - 18. Let v be (a - 367\/(-132)) + 10\/(-15). Let h = 4\/11 - v. Is -27 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 23*r**2 + 24*r - 13. Calculate y(-24).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12608 is divided by 1248.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3927 and 47026080.\nAnswer: 3621008160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(264))\/sqrt(12) - sqrt(44)\/(sqrt(2)*3 + sqrt(2)))\/(sqrt(121)\/(sqrt(396)*1 + sqrt(396))*6).\nAnswer: -17*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 4010736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 715, 706, 691, 670, 643?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 140616103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129*u**2 - 251*u**2 - 92*u**2 - 452*u**2 - 113*u**2.\nAnswer: -1037*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + 3*b + 21, -5*w + 7*b - 3*b = 3. Let j be w\/((-20)\/(-16) - 2). Suppose 48 = -0*i + j*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02134745 rounded to 5 dps?\nAnswer: -0.02135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4012 = -4*l + 5*g, 3*l + 4012 = 7*l + 2*g. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 5*l = 20, -20 = -5*l - 5. Suppose r*z - 6*z = -1. Suppose 0 = -2*h + 5 + z. Solve -j = -h*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the first derivative of s**4\/4 + 7*s**3\/3 - 5*s**2 - 6*s - 1. What is the remainder when x(-8) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from syyyssysssyssssysss.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*p = -5*p. Suppose p = 2*x - 316 - 506. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 3 + 1)*(5*a + a - 5*a) + a - a - 4*a + (-4 + 1 + 1)*(-4*a + 6*a + 0*a))*(27 + 30 - 99).\nAnswer: 294*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 - -1)*12\/(-18). Factor 1\/3*u**m - 4\/3*u + 4\/3.\nAnswer: (u - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 - 16*s**2 + 13*s + 33. Let u be q(15). Suppose -u*d + 4*d + 2 = 0, p - 2*d + 46 = 0. Let c = -25 - p. Solve -3*r + c = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.6686 - 0.0614. Let y = s + 74.13. Round y to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-8))\/(378\/(-1176))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 217, -4, 4 in ascending order.\nAnswer: -4, 4, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in -23, -0.2, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -0.387.\nAnswer: -1.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 25406714 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13670?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1802 - -2050. What is the highest common divisor of p and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*b)*(-2 - 2 + 2 - 2*b).\nAnswer: 4*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 - 8*c - 13. Let b be x(5). Sort 5, b, -4, 0.\nAnswer: b, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 6:51 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3676365, 3676345, 3676325, 3676305, 3676285?\n\"Answer: -20*x + 3676385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-201)*1776\/(-1480).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -33.57 - -0.57. Let n = o - -32.8. What is the closest to 0.03 in n, -4, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83*f + 431 - 431 - 84*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2599 is divided by 365.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = 3*c - 8*c + 16, 29 = 4*c - 3*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2090 is divided by 934.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/48 and 115\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 + 3*v**2 - v. Let x be k(-3). Suppose -x*u - 4 = -u. What is the third biggest value in -1\/17, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 PM and 11:30 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -43.09227253 rounded to 1 decimal place?\nAnswer: -43.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 14 = -2. Let a be 1*q\/(-2) + 13\/1. Which is smaller: a or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 0*s - 18. Suppose s*f = -4775 + 1175. What is f rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/585145 and -1\/264.\nAnswer: 14043480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - s - s)*(-26 - 11 + 1).\nAnswer: 72*s + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 10. Factor 5*u + 0*u**5 - m*u**3 - 3*u**5 - 2 + 4 - 10*u**4.\nAnswer: -(u + 1)**4*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2090 + 2111.017. Let y = -0.037 + 0.02. Let d = y + o. Are d and 1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 + 2832787718.\nAnswer: 2832787717.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1411635 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10168\/22945 or 0?\nAnswer: -10168\/22945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 - 29*p + 13. Let t(z) = -z**3 - 15*z**2 - 13*z - 13. Let d(q) = -7*q + 49. Let h be d(9). Let o be t(h). Is s(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of 19*x**4\/2 + 1417*x. Let u(o) be the second derivative of o**4\/6 + 8*o. Give u(t(l)).\nAnswer: 25992*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -266.582 rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16 - 35 + 11 - 1586*y + 8 to h*y + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -246055, -1, -127 in ascending order.\nAnswer: -246055, -127, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23206 - -29445. What is the greatest common divisor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -4*b - 334, -5*d + 3*b = -2*b - 335. Let a(g) = -d - 63 + 130 + 20*g**2. Give a(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -9 + 5. Let u(v) = -55*v**o + 24*v**2 + 32*v**2. Let c(p) = 2*p**2 + 31*p. Determine u(c(x)).\nAnswer: 4*x**4 + 124*x**3 + 961*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 8:40 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = 5*d - 2, -g = 3*d - 5*d - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -7*p + 6. Let m be 2\/((-20)\/6) + 48\/30. Let v(h) = 6*h - 16*h - m + 4*h + 6. What is -4*v(f) + 3*y(f)?\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 4*d + 3*d - 6*d. Let s(n) = -166*n + 12. Let b(m) = 8305*m - 604. Let k(h) = 3*b(h) + 151*s(h). What is k(x(p))?\nAnswer: -151*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 42\/(-140) + (-1215)\/(-50). Let p(t) = 38*t**2 + t + 1. Let a be p(1). What is the greatest common divisor of i and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2*u - 9 = -2*r, 3*r + 2*u = -6. Let z(n) = -n**3 - 34*n**2 + 2*n + 70. Let h be z(-34). Solve -2*f - 4*p - 5 = 5, r = -h*f + 2*p + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x**(-1\/8)*x*x)*x*x**(-5\/2)*x*(x**1)**(1\/3))\/((x**(1\/4)\/x)\/x**(-2\/5))**(1\/41) assuming x is positive.\nAnswer: x**(-10003\/4920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -199 + 527. Let n be (11 - 10)\/(2\/p). What is n rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 330 and 5346.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 55014 or 55018?\nAnswer: 55018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of -7*t**3\/3 - 337. Let y(s) be the first derivative of -2*s**3 - 1. Let q(b) = 5*f(b) - 6*y(b). Factor q(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(3\/7)*z)\/z*z\/z**(-1\/4))\/(z**(-1\/4)*z)**(-2\/51))\/(z**(-1\/2)*z*z*z**(3\/2))**(-2\/13) assuming z is positive.\nAnswer: z**(13425\/6188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 81 - 3. What is the remainder when s is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1397 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -683.0000000944 - -683. Round h to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -717a32 (base 11) to base 7.\nAnswer: -12540143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 8*h - 3. Let i be x(1). Let l be (-2)\/(-5) - (-18)\/5. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 37\/2 + -19. Let t be 6\/(1 + -4)*-4. Let k(w) = -w**3 + 9*w**2 - 7*w - 10. Let z be k(t). Is z <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -60 + 56. Let k be b\/18 + 241\/(-9). Calculate the common denominator of -121\/24 and 1 - (84\/k + -3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11979 and 10397409?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 - 18*f**2 + 40*f - 15. Give g(-20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -64*3\/(-12)*3. Suppose -q*c - 112 = -76*c. Solve -6 = -2*n + c*z - 0, 5*n - 15 = 4*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1592652*-427\nAnswer: 680062404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16203*o + 538556 + 366746 - 305791 = 0 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 240\/864*(-18)\/20*-17?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 4, -31, 208482?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24630\/(-630) + 39)*84\/(-27)*-6.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.48203 and -0.6586.\nAnswer: -0.17657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, u: 2}. Give prob of picking 1 u and 1 m.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3424486049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -12321, -24286, -36265, -48264, -60289, -72346, -84441, -96580?\n\"Answer: -x**3 - x**2 - 11955*x - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (720\/(-112))\/((((-20)\/(-42))\/(-5))\/2)\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 839, -1\/2, -0.05 in ascending order.\nAnswer: -1\/2, -0.05, 0.1, 839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6781630 by 5.\nAnswer: 1356326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -12*b + 47 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s = 4*s - u + 1425, 0 = -4*u. Suppose -2*j - 37 = -2*i - s, 4*j = -5*i + 451. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 84291328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = 5*y + 29, -9*y + 138 = -31*y + 28 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 2071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/52)\/(2\/(-8)). Let o = -1\/39 + -113\/156. Put o, -2\/3, l in descending order.\nAnswer: l, -2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 6*v = -2*v - 24, -5*d + 5*v - 55 = 0. Let m be 111\/(-15) + 6\/d. What is the least common multiple of 20 and m\/12 - (-116)\/3?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55315 divided by -517.\nAnswer: 55315\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -78*v**2 + 6 - 61*v + 25 - 31 wrt v?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -3795.21\nAnswer: 1897.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, 19, -461, -2 in decreasing order.\nAnswer: 19, 0, -2, -5, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2548663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4*o = 5*w + 820, -2*o + 4*w + 320 = 0. Let j be o\/(-16)*(-4)\/6. Suppose -5*v = -j*v - 2. Put v, -5, 1 in descending order.\nAnswer: 1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45658116.\nAnswer: 2, 3, 7, 181183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 44*n**2 - 31*n**2 - 50*n**2 + (8*n + 5 - 5)*(-3*n + 0*n - n) + (-2 + 1 + 2)*(-7*n**2 + 2*n**2 + 3*n**2).\nAnswer: -71*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) 0.14  (c) -36\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -3*x + 6. Let u be (5\/25)\/(6\/x). Which is the closest to 0?  (a) -0.03  (b) u  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 + -1 - (-181 + 181)) + 23\/13. Find d, given that 4\/13*d - 10\/13*d**2 + 0 - h*d**3 = 0.\nAnswer: -1\/2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**5 + 3*t**4 + 81*t**3 - 167*t**2 - 1680*t + 1764.\nAnswer: -(t - 7)**2*(t - 1)*(t + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 6*j + 61. Let z be s(-10). Let w be (0 - 6\/288)\/(z\/(-3)). Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the second derivative of 0*d**3 + 0 - 28*d - 11\/4*d**4 + 8*d**2. What is the first derivative of q(t) wrt t?\nAnswer: -66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/31))**(-2\/75)\/(p*p*p*p**(-5)*p**(-1)\/p*p) assuming p is positive.\nAnswer: p**(6971\/2325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 + 2419*i + 19400. Determine v(-8).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 90 - 81. What is the derivative of y + 31*i - 3 + 34*i**4 - 31*i wrt i?\nAnswer: 136*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -22*w + 67. Let d(j) = -2*j - 1. Calculate f(d(s)).\nAnswer: 44*s + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 52 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 60719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 11101110101000111011 (base 2) in base 4?\nAnswer: 3232220323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**3 - 2568*u + 5199*u - 2660*u.\nAnswer: -u**3 - 29*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -112*o + 116*o - w - 23, 4*o - 32 = 4*w. Sort o, -23, -5, 2 in decreasing order.\nAnswer: o, 2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 257 a factor of 56704994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2*((-456)\/(-880))\/(-19)*(-255)\/153\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**4 - 3*g**4 + 3*g**4 + (-463*g**3 + 32006*g - 32006*g)*(-4*g + 4*g + 6*g) in the form t*g**2 + u*g**4 + a*g**3 + m + j*g and give u.\nAnswer: -2776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1560*t - 1487*t + 3477*t.\nAnswer: 430*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -4*c - 23. Let i be q(-8). What is the common denominator of (i\/135)\/(9\/435) and 34\/33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 71\/5 - 14. Determine z, given that 3\/5*z**2 + 2\/5 - w*z**4 - 1\/5*z**3 + z = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 3730 and 85773\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -127 divided by 7.\nAnswer: -127\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9684*x + 9159*x = -23100 for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14814, 30972, 47124, 63270, 79410?\nAnswer: 95544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 210318053.\nAnswer: 11, 19119823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u + 10. Let s be i(-8). Suppose g = -s*x + 403, -446 = -5*x - g + 554. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/3 - (-11 + 15\/5). Solve 4*x - 5*n = -1, 2*x - u*n + 5 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (121\/(-242))\/((-14)\/7)*-100?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 3889*m**3 + 3242*m**2. Let k(a) = 3889*a**3 + 3246*a**2. Let r(h) = -4*k(h) + 5*t(h). What is the third derivative of r(n) wrt n?\nAnswer: 23334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/16)\/((-72)\/576)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*k - 3969 = -85*k + 266741. What is the highest common factor of 214 and k?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134 is divided by 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 32 = 2*k. Suppose -4*v - 20 = -0*v. Let x(q) = -q**2 - 7*q - 2. Let s be x(v). Calculate the greatest common divisor of k and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2\/8 + 1075*m\/4 - 59787.\nAnswer: -(m - 1898)*(m - 252)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -20, -19, -30, -59, -112, -195, -314, -475?\n\"Answer: -k**3 + 8*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 6419604 and 26901.\nAnswer: 6446505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -152 - -152. Let o be i*(-5)\/(-15) - (-1 - 279). Let h be o\/(-600) - (-1 + 4\/6). What is the second biggest value in h, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 6 + 0)*(-2 + 1 + 3)*(-3 + 0 + 0)*(70*g - 39*g - 128*g).\nAnswer: -3492*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 84 = -3*v + 994, -x + 275 = -2*v. Suppose x = 5*g - 14. What are the prime factors of g?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -9*l + 2. Let r be p(-2). Suppose 7*k - 3*q = 4*k - 75, -r = -4*q. What are the prime factors of 0 - k - 2\/(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 31347404 and 29020.\nAnswer: 5804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -117, -127, -153, -201, -277, -387?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 5*j - 12, 4*j + 2 - 6 = -5*r. Let d(m) = -r*m - 9*m + 7 - 4. Calculate the remainder when d(-4) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15635195 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2723 + -2666.05. Let r = -57 + d. What is the second smallest value in 4, r, -1\/2, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1406 (base 9) to base 16\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 140 = 148 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 692\/5 + -138. Suppose 20 = -3*n + 7*n. Suppose -4*h + 4 = 3*d - 11, -2*d = n*h - 10. Sort x, 4, h in ascending order.\nAnswer: h, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3*sqrt(648) + sqrt(648) + sqrt(648) - ((sqrt(72) + sqrt(72)*4 + sqrt(72))\/sqrt(9) - sqrt(8)))\/(-4*(sqrt(64) + -2*sqrt(64))).\nAnswer: -21*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 8. Suppose -u*j = -i + 171, -i - 828 = -6*i - 2*j. Suppose f - i = 205. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 18 = 10. Suppose -5*i - c*f + 330 = -3*f, 4*i + 5*f = 235. Let d = i + 15. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7802732.\nAnswer: 2, 7, 191, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1970783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 6:11 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 264930 - 20411. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -12188\nAnswer: -5\/12188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 413, 402, 375, 326, 249, 138, -13, -210?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 6:01 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21120010 - -31?\nAnswer: -21113313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 95.98151 years to months.\nAnswer: 1151.77812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 2*d - 2. Let r = -9 - d. Is r bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-17 - (-6 - -3)) - (1525 - 1510).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 44 + 286. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 - 242*r**2 - 4. Let h(x) = -8*x**3 + 1936*x**2 + 34. Let j(s) = -6*h(s) - 51*u(s). Let j(t) = 0. Calculate t.\nAnswer: 0, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 41390 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {k: 7, i: 5}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-9) + 64\/144.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7149*l + 7160*l + 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fourty-five halves of a millennium?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 92674580 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (111 - (-44 - -203)) + 26.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 26, 198\/7, 3, -1\/9?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9614523214 to the nearest integer?\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 26068700 rounded to the nearest one hundred thousand?\nAnswer: 26100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 AM and 10:44 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 5*t = -520, 403 = 4*g + 3*t - 109. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 AM and 11:40 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1, 2\/5, 320.7, -104, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 97505+15413.239\nAnswer: 112918.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 - 47*r**2 - 65*r - 346. What are the prime factors of j(51)?\nAnswer: 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 179 - 32*i**3 + 4*i**3 + 30*i**3 in the form m*i**3 + k*i**2 + h*i + p and give p.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) 0.3  (b) 4  (c) -2  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*x - 1 + 1 + 0*x + 0*x - 2*x + (4*x - x - 2*x)*(-3 + 2 + 2) - 1 + x + 1 + x + 2*x + 0*x + (-2 + 5 - 2)*(0*x + 2*x + 0*x) as h*x + o and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -7. Let p = 2 - r. Which is the nearest to p?  (a) 2  (b) 1  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 486 + 0*o + 13*o + 141 + 281 + 10.\nAnswer: 13*o + 918","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 688624.\nAnswer: 2, 193, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*n**5 + 4437*n**4 - 265990*n.\nAnswer: -40*n**3 + 53244*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 = -2*a + 41 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.035 - -0.235. Is 0.4 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 651, 1752, 3399, 5592?\n\"Answer: 273*r**2 + 282*r + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 865*i - 24. Let r(u) = 8648*u - 252. Determine -4*r(m) + 42*z(m).\nAnswer: 1738*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -433980*d**3 + 3*d**2 - 18*d - 20. Is q(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 80 = 3*r, 5*f - 2*r = r - 388. Let q = f + 538\/7. What is the third smallest value in -1\/10, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 3, -6, 0.3, 24588?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 + 10*b**2 - 17. Let q be (9\/(-5))\/(7\/35). Let s be 15*(-4)\/q*12\/8. Let h be l(s). Put h, 1, 5 in decreasing order.\nAnswer: 5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 divided by 158.\nAnswer: 12\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 10709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**5 + 1 - 1)*(-3 + 2 + 0) + (2 + 3 - 3)*(w**5 + 0*w + 0*w) + 105*w**5 - 206*w**5 + 77*w**5 + 22*w.\nAnswer: -20*w**5 + 22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9302393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5394\/2232 - 2\/(-8). Factor -116\/9*u + v + 40\/3*u**2 - 28\/9*u**3.\nAnswer: -4*(u - 3)*(u - 1)*(7*u - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 69*a**3 - 61*a**3 + 4*a + 0*a wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6*(-3)\/(-30))\/(14\/10).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*i + 10*i - f - 88, 3*i = -f + 86. What is the third derivative of i*r**2 - 12*r**3 - 26*r**2 + 12 - 58 - 73*r**3 wrt r?\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (3 - -2)*(-8)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -720 divided by 90\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -2\/15  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence agdd when four letters picked without replacement from aiigdidagiiadgiga?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 29*u + 587. Is 26 a factor of n(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + -24?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 180491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 713670 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -170 - -174. Let z = -1304\/7 + 186. Let y = -6 + 1. Which is the closest to 3\/4?  (a) n  (b) y  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 7\/621?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/(-2))\/((-2)\/(-120)). Let x be 1\/5 - 54\/v. Suppose -26 = -b - x*q - 3*q, -3*b = 4*q - 56. What is the highest common divisor of b and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {l: 2, j: 1, s: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/6 and -10\/713.\nAnswer: 4278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1087\/176554?\nAnswer: -1087\/176554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 + -60*(-13)\/780.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2714, -2722, -2742, -2780, -2842, -2934?\nAnswer: -3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7182 and 224147826.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 + 3*k + 1. Suppose 3*c - 147 = -4*f, 4*f + 17 = 3*c - 130. Suppose -4*n + 0*y = y - 181, -5*n + 215 = -y. Let b = c - n. Determine s(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1139, 1136, 1133, 1130, 1127, 1124?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 308 - 54. Let t(i) = 15*i + 15. Let c be t(-7). Let j = k - c. Is j bigger than -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 30 = 0, -3*g - 9*t = -8*t - 87. What is the remainder when 1765 is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-84)\/(-8))\/(12\/64). Suppose y = -4*v + l + 175, 3*y - 653 = -2*v. What is the remainder when y is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -55b11e (base 15) to base 13\nAnswer: -b0158a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -10000110110000110010110 (base 2) to base 16\nAnswer: -436196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (8 - 2)*(-1)\/1. Let c be (-3)\/(-2) + (-33)\/y. Solve c*o + 12 = 3*u + 4*o, -o = 2*u + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 41211984 and 42720?\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from rrcjrjwjrrrwo?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 + 10*g**2 + 4*g - 106. Calculate a(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -4*a + 52, -5*a + 5*m + 78 = 28. Let b be ((-9)\/a)\/(1\/(-12)). Suppose -4*y = 20, -x + 4 = 2*y + b. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5 + (-513)\/95 - (-16)\/15. Let o = -67 - -333\/5. What is the closest to 3 in o, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 9 = -5*r, -7 = -4*c - r - 36 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 405?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7898*q*t**2 + 2*q*t - 11*q + t - 44 wrt t.\nAnswer: -15796*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 8*b. Let y(o) = -3*o. Let j = 35 + -40. Let t(d) = j*y(d) - 2*w(d). Let k(h) = 57*h. Give k(t(q)).\nAnswer: -57*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(98) + 0) - sqrt(98)*-2*-5 - ((-1 + sqrt(98) + 2 - sqrt(98) - sqrt(98)) + -6*(sqrt(98) - sqrt(98)*-2)))**2 + 5.\nAnswer: -196*sqrt(2) + 19214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 822 is divided by 122.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 825 + 273*j - 825 + 1110*j to the form p*j + q and give p.\nAnswer: 1383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -216 = -8*y, -3*t + 45 = 281*y - 279*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + d + 34, -3*z - 4*d + 40 = -2*d. Let p(f) = 43*f**2 + 28*f - 29. Let n be p(1). Calculate the highest common divisor of n and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, 1, 312, 2438, 0?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1640 and 109460980.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3689530 by -505.\nAnswer: 7306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 443 - 437. Which is smaller: q or 111\/16?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = 19*a - 93*a + 2385. Suppose 2*k - 4*u - 90 = 0, 0*k - 4*u = 3*k - 165. What is the lowest common multiple of k and a?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -1143*p + 48256. Give r(42).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 12*g - 5. Let s(x) = -4*x + 106 - 158 - x + 56 - 4*x - 2*x. Let y = -8 - -3. Give y*s(h) - 4*p(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of b**7\/189 - 2*b**6\/135 - 2*b**5\/9 + 4*b**4\/27 + 128*b**3\/27 + 128*b**2\/9 - 14*b + 4. Factor g(q).\nAnswer: 2*(q - 4)**2*(q + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 - 143*w + 650*w**2 + 143*w)*(2*w - 2*w - 2*w**2).\nAnswer: -1298*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.9108 + -8158.4085?\nAnswer: -8149.4977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, k: 1, m: 7, n: 2}. Give prob of sequence dmnn.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 45*t**4 - 991774*t**3 + 5853130*t**2 - 41*t.\nAnswer: 1080*t - 5950644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12 - -45230?\nAnswer: 45242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -4*o**2 - 23*o + 30. Let y(z) = -z**2. Let g(h) = -m(h) + 3*y(h). Differentiate g(d) with respect to d.\nAnswer: 2*d + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/5?  (a) -78  (b) 2\/9  (c) -2  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 32463 and 62.\nAnswer: 2012706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -0.3, -125, 6, -2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -235, 59, 351, 641, 929, 1215?\n\"Answer: -c**2 + 297*c - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.329285 microseconds to seconds.\nAnswer: 0.000009329285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1215762 divided by 6\nAnswer: -202627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**3\/5 + 8032*o**2 - 40158*o\/5.\nAnswer: -2*o*(o - 20079)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 847 and 363?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 78734 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 718 (base 14) to base 11.\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.8 + 6.2. Let i = v + -8.00012. What is i rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 188176954?\nAnswer: 2, 7, 1920173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2*k + 5. Suppose -5*c + 10 = 0, 2*c + 1 + 1 = -3*i. Determine h(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 388419013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17*v**2 + 20*v**2 - 25*v**2 + (v - 6*v + 3*v)*(2*v - v + v) + (4*v - 2*v - 4*v)*(2*v + 7*v + 0*v).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 53214561823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*k - 2*k + k)*(-1 - 1 + 0)*(1271710 - 1271710 - 542*k**2) to the form j*k + z + b*k**3 + g*k**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2275450?  (a) 1\/6  (b) 3  (c) -9  (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -49*w + 7. Let s be i(-3). Suppose 3*y + 10 = 4*k, 4*k + 5*y = 3*y + 20. Suppose -3*c = k - s. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -72\/7 - 48\/7*m + 22\/7*m**2 - 2\/7*m**3.\nAnswer: -2*(m - 6)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dgmmuuumgguutu. Give prob of sequence td.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 998436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1617588 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 times 0.2196?\nAnswer: 111.3372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-1\/11))**42 assuming s is positive.\nAnswer: s**(420\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of -k**4\/2 + 4. Solve s(m) = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -4*i. Let h be 5 - (-1 - -1)\/(-3). Let c be (-4)\/h*(-25)\/(-10). Let s be k(c). What is the greatest common divisor of 88 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c - 4. Let i(v) = 3*v + 13. Suppose 14 = 510*a - 508*a. Determine a*b(o) + 2*i(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0*-0.1325\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*h**3 - 4*h**3 + 2*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -137*s**4*z**2 - 7*s**4 + 342*s**2*z**2 + 2*s*z**2 wrt s.\nAnswer: -3288*s*z**2 - 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-26) - 14\/91\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 1240\nAnswer: -3\/1240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.6595 - -15.7295. What is the fourth smallest value in 0.4, u, 4, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -338?  (a) 0.5  (b) -0.19  (c) -4  (d) -1  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14097583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -393 - -408. Suppose -3*k = s - 60, s - 6*k + k - 44 = 0. What is the remainder when s is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(280)\/(sqrt(14)\/sqrt(2)) + sqrt(40))\/(sqrt(72) + 1*sqrt(72)*5))**2.\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3788627786?\nAnswer: 2, 17, 6323, 17623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-2\/3)*n*n**(-5\/3))\/(((n**(-6)*n)\/n)\/n**(-1\/8)) assuming n is positive.\nAnswer: n**(133\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 135485?\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3998 - 2838. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 5*k - 23 = -4*k, 14 = -4*c - 3*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -16706 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2. Let d(l) = 3*l**2 - 2*l + 2. Let c(a) = a - 1. Let m(y) = 5*y - 18. Let s(k) = -6*c(k) + m(k). Let o be s(-13). Determine o*d(v) + 4*n(v).\nAnswer: -v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125808 is divided by 1165.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-6))\/t**(-3\/7))\/(t**5\/(t*t**(7\/3)*t)) assuming t is positive.\nAnswer: t**(142\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -15*g - 17. Let m(n) = 7*n + 8. Let o(y) = 6*c(y) + 13*m(y). Let u(h) = -h**3 - 7*h**2 - 4*h + 8. Let f be u(-6). Let w be o(f). Sort w, 0, -5.\nAnswer: -5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7852 and 10.965.\nAnswer: 86097.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.47 and -54.\nAnswer: -53.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-301)\/(-56)*(-10)\/(-70) and -47\/84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1759720859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 92 - 361. Let c = s - -269.0000506. What is c rounded to 6 decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, p: 4, c: 4, r: 6, o: 1}. Give prob of picking 1 e, 1 p, and 1 o.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 427*a - 112148 = -878*a + 247*a for a.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 27, 2 in increasing order.\nAnswer: -2, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-42))\/(1*4\/(-12))*2912\/(-44096).\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 3. Let t(a) = 3*a**2 - a. Let q be 6 + 2\/(2 + -3). Let r(m) = q*m - 9*m + 6*m. What is o*r(x) - t(x)?\nAnswer: -3*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/4)\/((5\/(-2))\/1). Which is the second smallest value?  (a) 5  (b) j  (c) -4  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, -2\/3, 0, -11 in descending order.\nAnswer: 0, -4\/7, -2\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11400503 is divided by 1205?\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 + 26*o - 37. Let v be d(-27). Let t = 1720.7 + -1720. Which is the nearest to t?  (a) 4  (b) v  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 31 = 3*u, -6*r = -7*r + 2*u + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + -5 + -19 + 20?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**3\/3 - 20305*u**2\/3 - 536798*u\/3 - 405040 = 0. Calculate u.\nAnswer: -10126, -24, -5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8844380.\nAnswer: 2, 5, 163, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**2 - 3*r + 0 - 2 + 0*r**2. Let w(y) = y + 1. Let k be w(-2). Let p = -1 + k. Calculate z(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d**2 - 131*d + 304. What is x(63)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*y = 64*w - 60*w + 956, 9*w + 5*y = -260 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5040 is divided by 76.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9877, -39927, -90153, -160555, -251133?\nAnswer: -361887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1105 and 1560.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 439*c + 299*c - 63 + 60 in the form i*c + a and give i.\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of 1\/2*n**2 - 2*n - 2\/3*n**3 + 1\/2*n**4 - 1. Is q(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10668)\/(-32004))\/(-1*(-2)\/156).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -7*z + 20. Let k(b) = -b**3 - 142*b**2 + 600*b + 2383. Calculate the lowest common multiple of k(-146) and z.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 933.52225 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6101, -4901, -3701, -2501, -1301?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -40, 7 in decreasing order.\nAnswer: 7, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -64 + 68. Solve -4 = i*a - 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2425316?\nAnswer: 2, 31, 19559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3617344375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 48337, 48581, 48825, 49069, 49313?\n\"Answer: 244*m + 48093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 18 = 11*v. Suppose v*r + 0*j - 39 = 3*j, 0 = -r - 2*j - 2. Solve 3*a = 5*k + r*a, -3 = 4*k + a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10012120 - -100?\nAnswer: 10012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 843 divide 4343136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 23. Let m = -27 + q. Let f = m + 8.999927. Round f to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -271.8 + 271.6. Which is the nearest to 2\/7?  (a) 4  (b) t  (c) 34  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2 - 10999530*g - 142993552.\nAnswer: -2*(g + 13)*(g + 5499752)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 39\/(5\/((-10)\/(-3)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.2, -2\/7, 1, 0, -112\/41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 6*z - 7. Let j be u(7). Let x = 602 - 567. What is the greatest common factor of j and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19, -86, -203, -376, -611, -914, -1291, -1748?\nAnswer: -2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 49 + -41. Let l = -134 + 137. Suppose l - o = 5*v. Let u(c) = -5*c**2 - c. Calculate u(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24972.7 + -24973. Which is the nearest to -15?  (a) -0.016  (b) u  (c) 1  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 4*w**3. Suppose -5*p = -8*p - 75. Let a = 22 + p. Let x(c) = -5*c**3. Determine a*x(n) - 4*r(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8\/(-28))\/(2\/(-14)). Suppose t*y + 4 = 4*y. Suppose -2*d + y*o + 7 = o, 0 = 3*d - 2*o - 9. Solve -4*j - j = d*x - 10, 0 = -4*j + 2*x + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {u: 1, t: 5, p: 1, d: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 75 - 81 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65 is divided by (-212)\/(-12) + (-1)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the second derivative of 5*b**3\/3 - b**2\/2 - b + 25. Let n(t) = -11*t + 1. Give 6*n(m) + 7*p(m).\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 65*c. What is the tens digit of f(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 - 15734*x - 157387. Give a(-10).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - z**2 + 13*z + 18. Calculate g(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00029479 to six dps.\nAnswer: 0.000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 7:02 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -40332 + -333?\nAnswer: -41105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-312)\/28)\/(4\/(-14)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - (-116)\/16) + 0\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 176*h - 601 + 570 + 383 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -4 - (8 - 11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 248 - 132. Let b = 231 - z. Let v = -51 + b. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (26\/91)\/(((-9)\/21)\/3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4\/(-6))\/((-12)\/54). Let n(a) = -2*a**2 + 6*a - 2. Let v(w) = -3*w**2 + 7*w - 2. Determine d*v(c) - 4*n(c).\nAnswer: -c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 + 3 - 5)*(p**4 - p**4 - p**4 + (-5*p + p + 2*p)*(0*p**3 - 4*p**3 + 6*p**3) + p**3 - p**3 - 2*p**4) as g*p + s*p**2 + a + n*p**4 + m*p**3 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -385*n + 397*n = 2916. Let u = n + -267. Which is the second smallest value?  (a) u  (b) -9  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 5\/2  (b) -2  (c) 14  (d) 13  (e) 6  (f) -0.6  (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4707 - -0.3.\nAnswer: -4706.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 60 = -0*y. Suppose 2*h + 4*o - y = -0*o, 0 = -3*h + 4*o + 70. 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 -34 - -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -94841 (base 10) to base 8.\nAnswer: -271171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3830 by 4.\nAnswer: 1915\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 + -17. Suppose 0 = 5*v - 0*a + 4*a - 130, -3*v + c*a = -46. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 1:41 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1121980 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5968872*a + 3925335.\nAnswer: 5968872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 13*w**4 + 6*w**3 + 9*w**2 - 55. Let q(i) = -2*i**4 - i**3 - i**2 + 1. Let o(l) = -g(l) - 6*q(l). Differentiate o(n) wrt n.\nAnswer: -4*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of 10*k**3\/3 - 3*k**2\/2 + k + 3. What is the remainder when p(2) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of -s**5\/60 + 2*s**4\/3 - 32*s**3\/3 + 241*s**2. Suppose u(d) = 0. What is d?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -402?  (a) 0  (b) -5  (c) -8  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyyyyyyy. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/(-234)*84\/(-70).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8823*l**3 - 34*l**2 - 4*l wrt l.\nAnswer: 52938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/34702 + 123886159\/659338. Let f be 324\/(-22)*(-1890)\/(-152). Let l = f + k. Find the common denominator of -79\/2 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 3511 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*q**3 + q**3 - q**3 + 3*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 252*c**2 + 244*c**2 - 496*c**2 - 35*c**3.\nAnswer: -35*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20812\/7 + -2973. Which is the nearest to 4.1?  (a) j  (b) -0.1  (c) -5\/3  (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 28 = 3*t, i + 50 = 5*t + 6*i. Suppose 5*h = -17 - t. Is -4 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 0, -2, 41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2629, 7529, 14701, 24145, 35861, 49849?\nAnswer: 66109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 16527931*h**2 - 36105677 wrt h?\nAnswer: 33055862*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (38 - 10)) + 4\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -19.139 and 59.41.\nAnswer: 40.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4457*r*t + 2008688*r - 134*t wrt t?\nAnswer: 4457*r - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h**3 + 4*h**2 - 148*h + 593. Give q(4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -115 - -144. Suppose -k = -c - 0*t - 5*t, -c + 20 = 2*t. Calculate the remainder when 194 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000168972 rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 630 and -9821510.\nAnswer: -9820880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d + 0 + 0 + (5*d - 3*d - 5*d)*(-20 + 32 - 18) to q*d + a and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3239*d - 3209*d + 210 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 67757*f**2*w - 17*f**2*z + 3959*f*w*z wrt z?\nAnswer: -17*f**2 + 3959*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 6*w + 11. Let z be t(-3). Suppose 0 = -k - z*r - 10 + 13, 3 = k + 3*r. Solve a - 2 = 3*d, -k*a + 8*a - 10 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 - 3\/((-6)\/10). Let k be z\/3 + 2 + 1. Solve 0*v + 12 = -k*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2144313?\nAnswer: 3, 23, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 0 - 2*n + n**2 - 8 + 6. Give a(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0 - 7)*(-133693*l + 172 + 133689*l - 42) in the form b*l + a and give a.\nAnswer: -1170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 3, g: 5, r: 2, n: 9}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/216*(51\/85)\/(4\/10)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/11*12\/150*-5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -4*b - 9. Let g be j(-6). Suppose -2*p - p = -g. Solve 5*t - p = -20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 - (33 + 5) - 3\/1. Let z = 173 - i. List the prime factors of z.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 9940.221ug in grams?\nAnswer: 0.009940221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4250, 8306, 12364, 16424, 20486?\nAnswer: 24550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z**2. Let n(f) = -f + 1. Let p(a) = 18*a - 24. Let x(w) = 24*n(w) + p(w). Determine t(x(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2 - 8*w + 16.\nAnswer: (w - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1*67\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 564 and 9301300?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - 2*2\/4. Let g(d) = -12*d - 3 - 40*d - 20*d + 18*d. Let u be g(f). Round u to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/((-33)\/((-110)\/10))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1051.77 and 0.28639613.\nAnswer: -1051.48360387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21474 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 216 + -216.3. What is the second biggest value in -1\/2, -21, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/(-3))\/(3\/27). Suppose 0 = -o*d - d + 12. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 97*b**3 - 26*b**3 + 3*b**3 + (3 - 2 + 0)*(b**3 - 2*b**2 + 2*b**2) + 3*b**3 - b**3 - 4*b**3 as r + w*b + h*b**3 + k*b**2 and give h.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = t + 4*r, 7*r = 3*t + 2*r - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5791.\nAnswer: 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (58\/(-6))\/((-1)\/3). Let c = d + -20. Which is bigger: 10 or c?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -91630, -185427, -279238, -373069, -466926, -560815, -654742, -748713?\n\"Answer: -y**3 - y**2 - 93787*y + 2159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 569.44 + -5.44. Let s = b - 566. Sort s, 2.5, 5.\nAnswer: s, 2.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-340)\/(-16) + -19)\/((-236)\/48 + 5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.0692 + -2.02. Let d = 15.03 - 15. Let f = d - r. Round f to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + -549?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21*j**3*l**3 + 6*j**3 - 19*j**2*l**3 - 2*j**2*l - 3*j*l**3 wrt j?\nAnswer: -126*l**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12.46 + 6.5. Let x = y + -0.04. Let k = x + 6.2. What is the closest to k in -4, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 518370 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125*z = 138*z - 1196. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.063 and -25.79.\nAnswer: -25.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -v + 17, 2*v = 3*j - j + 10. Factor 5*l**2 + 2*l**3 + 16*l**2 + 2*l**4 - 23*l**2 - v*l.\nAnswer: 2*l*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9\/5*o + 1\/5*o**2 + 14\/5.\nAnswer: (o + 2)*(o + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4284)\/396 - (-12)\/(-66)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 7:37 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (5 + (sqrt(432) - sqrt(432)*-1) + -4*(sqrt(432) - (sqrt(432) + 1)) + sqrt(432))**2.\nAnswer: 648*sqrt(3) + 3974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes after 6:02 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -118.2 - -118. What is the second smallest value in 0.5, 2\/15, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 b, 1 h, and 1 f when four letters picked without replacement from {h: 5, b: 3, q: 7, f: 2, m: 3}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -73*p**3 + 2*p**2 - 1. Suppose -2*z - 6*s - 10 = -4*s, 3*z + 3 = -s. Give r(z).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from uuybuyyy.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = l - 11, -2*l = -l - 3*m - 9. Suppose -80 = -4*p - l. What is the highest common divisor of p and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7986)\/(-88) - 86 - (-4 + 0)*(-2 + 3)?\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 928?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1300)*-1 - (3 + sqrt(1300) + 1))*2.\nAnswer: -8 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a1 - 29?\nAnswer: -ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -411708 divided by 18714.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -365 - -369. Suppose 2*t = 9*q - 6*q - 2474, -z*q - 2*t + 3308 = 0. List the prime factors of q.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 3337958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -12*i + i**3 + 13*i + 3*i**2 - 5 - 2*i**3 - 2*i**2. Let t be (-6)\/(1 - (-1 - -3)). Suppose u = t*u. Calculate p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 8 - (-13 + 6 - (0 + -8))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -15*f + 32. Is 15 a factor of z(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(2401)*-1)\/(sqrt(252)\/sqrt(4))*1.\nAnswer: -7*sqrt(7)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 304 divide 50801017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/9, -0.4, -2\/7, 0.45?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 4*x - 5 = 0, x - 30 = -309*s + 302*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -21  (b) -1\/2  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 + 9*t**2 - 5*t - 7. Is m(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 271*y**6 - 1890*y**2?\nAnswer: 32520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, 5, 2.\nAnswer: -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 2 + 0 + -9 + -9 + 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/3, -51, -3?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of -5*i**4\/12 + 130*i**3\/3 - 1690*i**2 - 3*i - 2. Suppose q(b) = 0. Calculate b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -7\/11, -2, -2\/1069, -2\/11, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2660 (base 10) to base 14\nAnswer: d80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -12769152 smaller than -12769148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - i + 289 = 313, 8*d + 3*i + 37 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30 - 72. Let q = -23 - s. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/6 + (-393)\/(-9). Let o(y) = -y. Let p be o(-3). Let s(m) = m**3 - 3*m**2 + 4. Let r be s(p). Calculate the highest common divisor of t and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*f - 5 - 36 = -2*g - 27*f, -5*f = 2*g + 49 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64\/20*(-5)\/(-2) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of -1\/120*o**6 - 1\/24*o**4 + 0 + 0*o**5 - 3*o**2 + 0*o + 0*o**3. Let s be q(0). Which is smaller: -2\/11 or s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.052023 to 4 dps.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -26*c**2*u**2 + 224*c**2 + 3*c*u - 6*u**2 wrt u.\nAnswer: -52*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/363 and 62\/140349?\nAnswer: 1543839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 95471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 4 = -181. Let x = 38 + q. Solve -4*m - 3*d + 4 - 11 = 0, 0 = -m + 2*d + x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 416, 4, 0, 2 in decreasing order.\nAnswer: 416, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**21)**(8\/3) assuming h is positive.\nAnswer: h**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8096 and 10120?\nAnswer: 40480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -140486*q**3 + 140427*q**3 - q**2 + 2*q**2 - 15 in the form w*q**3 + p*q + h + n*q**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 w when three letters picked without replacement from pwzwzwzwzpw?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/58184 and 57\/1107574?\nAnswer: 31012072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 44, -2, -0.079 in increasing order.\nAnswer: -2, -0.079, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 - 9*m**2 + 4. Let l be w(-9). Suppose n - 10 = -l*n. What is the second derivative of -2*s**n - 65 + 3*s + 65 wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -387 divided by 129\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1089288 divided by 369\nAnswer: 2952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 15*g**5 + 32095*g**4\/3 + 6995*g**3\/3 - 32125*g**2 - 85580*g\/3 - 14260\/3 = 0.\nAnswer: -713, -1, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 - 170*m - 1599. Give f(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 698719728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-17580)\/18*(-12)\/70. Let j = 168 - w. Which is the biggest value?  (a) -1\/9  (b) j  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1370853 divided by 41541?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*n + 56*n = 349. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -22, -1 in descending order.\nAnswer: 5, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 2*j - 43 = -39, 40 = 15*g + 5*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 - 7*c + 5. Determine w(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -322 + 322.133. Let u = 61.867 + l. Let x = u + -59. Which is the second biggest value?  (a) 1  (b) x  (c) 0.1  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -52\/834939 and -23\/32904.\nAnswer: 6679512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 564.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 1165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(48) + -1 - (-1*sqrt(3) + -5).\nAnswer: 4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29.50668 micrometers to centimeters.\nAnswer: 0.002950668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 112103012 + -22?\nAnswer: 112102330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 + 5*t**2 + 6*t + 3. Let s be o(6). Suppose s*a = 420 + 27. What is the third derivative of -7*l**2 - a*l + 149*l - 5*l**5 wrt l?\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -4  (b) 11\/2  (c) 3  (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) - 1*sqrt(147)) + -4)**2 + (-2*sqrt(243))**2*-5.\nAnswer: -4736 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express p + 1 + 7*p - 1 as o + s*p and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 17*n**2 + 9*n - 11. Let r(a) be the third derivative of -2*a**5\/15 - a**4\/6 + 5*a**3\/6 - 12*a**2. Let g(i) = 4*o(i) + 9*r(i). What is g(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1606 a factor of 33019780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 - -22. Suppose 4*s = 2*n - a*n, -n = 2*s - 8. Suppose n*m - 2*v - 30 = 0, 2*v = -3*m - 2*m + 33. Solve 0 = 4*d - i + 8, -i = -d - m + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of 1\/70*w**7 + 0*w + 3\/40*w**6 + 3\/20*w**5 + 0 + 0*w**3 - 4*w**2 + 1\/8*w**4. Factor p(o).\nAnswer: 3*o*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 73 - 3 = 0. Let t = h - 50. Let o be 15\/6*(-36)\/t. Calculate the highest common factor of 15 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*q**3 + 3*q**3 + 4*q**3)*(144 - 116 + 115) in the form j*q**3 + u + m*q**2 + v*q and give j.\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.6856 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -132*m - 2 + 132*m + 10*m**2 - m**2 + 0 + 0 + (2*m - m**2 - 2*m)*(3 - 3 - 2) + 3*m**2 - 2*m**2 + 0*m**2.\nAnswer: 12*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 521, 457, 339, 161, -83, -399, -793?\nAnswer: -1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = 5*l + 20, 4*j = -3*l - 0*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.156, 1\/3, -4\/5, -4\/7, 10, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 133577173 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -2. Let g = -0.6 - -1.6. Which is the second biggest value?  (a) y  (b) g  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34490302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-4) - (-3)\/(-4). Suppose 2*w - 44 + 18 = x. What is the highest common divisor of 2 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -1\/4, -1\/186950, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -4*n - 258, -5*n = -8*k + 9*k - 69. Calculate the remainder when k is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of 8*o + 14 - 4*o**2 + 1\/3*o**3. Suppose -z = -9 + 3. Calculate s(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19 - -43. Let b be (5 + -11)\/(-2 + (-69)\/(-36)). Calculate the highest common factor of b and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 160165713?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/(-225)*(-1269)\/(-282))\/(((-25)\/20)\/(-5)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccecce. Give prob of picking 1 c and 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0648 times 231?\nAnswer: -14.9688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*g + 28*g + 4 = 0. Find f, given that 2\/9*f**g - 4\/3*f + 2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 4*o**2 - 3. Let x be (-3)\/9*(8 - 2). Let l = x + 5. Let g(m) = 3*m**2 - 2. Determine l*g(i) - 2*f(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1390043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - p - 4*a = 140, 5*a = -2*p - 286. Let t = p - -359. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f - 44. Let q(l) = 3*l + 132. What is -3*q(m) - 8*r(m)?\nAnswer: -m - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-45)\/(-10)*2\/3. Let h(z) be the second derivative of -1\/20*z**5 + 0 + 1\/2*z**3 + 1\/6*z**4 + 2*z + 2*z**2. What is h(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52985501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 + -14. Suppose 3*g = 4*t + 30, 162*t - g = 158*t - 34. Let o = -0.1 - -0.1. Which is the second biggest value?  (a) o  (b) t  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -68, 0, 1, 2, -4 in decreasing order.\nAnswer: 2, 1, 0, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (16\/(-3))\/(-4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -24 - 145330?\nAnswer: -145354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3*k - k + 492 = 0, -4*o - 4*k + 416 = 0. Let z(w) = -2*w**3 - w**2 - 11*w - 43. Calculate the remainder when o is divided by z(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 150 + -54. Suppose -b - j = -7*b. Calculate the highest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156*w + 1100 = -2016 - 316 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2*m**2 + 20*m - 13. Let k be o(10). Which is greater: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9502?\nAnswer: 2, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s\/(s\/s**0)))\/s*s)\/(s*s*s**(-18)) assuming s is positive.\nAnswer: s**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*f + n = -6*f - 11, 5*n + 15 = 0. What is the units digit of ((-1104)\/168)\/(f\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 5. Let p be (1 - 2 - -6) + -3. Suppose -5*k = -p*r - 12, -k + 4*r = -8 + t. Solve -5*z + 1 = 2*y - 7, k*y - 5*z = -12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 3*c - 21 = 6, 0 = 4*w + 4*c - 44. Suppose 16*u - w = 22. Let v(y) = y**3 - 3*y**2 - 4*y + 4. What is the smallest common multiple of u and v(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/350 and -33\/10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*x - 224 = 118 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4365 - 3748*f - 4365.\nAnswer: -3748*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2816 - 2811. Solve a*j = -3*g, 3*g - 21 = -0*j + 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-21) + -2 + (-131)\/(-7). Let n(l) = 3 + 5 + 6*l + c. Is 53 a factor of n(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.13064909 to four dps.\nAnswer: -0.1306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 + 1053 - 9*y**2 + y - 1057 - 10*y. What is u(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17456, 17437, 17414, 17387, 17356, 17321, 17282?\nAnswer: 17239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(12*4\/12)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1109 to the nearest ten.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 16.4391819 to one dp.\nAnswer: 16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -20*4\/(-16*1). Solve -i + 1 + 0 = r*n, 4*i = -2*n - 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c**2 + 3*c**2 + c**2)*(18 + 22 - 17)*(108 + 9 + 13)*(5 - 3 + 0).\nAnswer: 5980*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o - 75999 = 36531. What are the prime factors of o?\nAnswer: 2, 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1589, 1416, 1129, 728, 213, -416, -1159?\nAnswer: -2016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -48*q**3 + 129*q - 129*q - 9*q**3 + 16*q**3 - 10*q**3 + (2*q**3 + 0*q**3 + 0*q**3)*(4 - 2 - 1) - q**3 + q**3 - q**3.\nAnswer: -50*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 7*r**3 + 4*r**2 + 11*r + 10. Let n(s) = s**3 + s + 1. Let i(t) = -b(t) + 6*n(t). Let g be i(-3). Solve g = -y - y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -15*q. Let l(p) = p. Let o(n) = 30*l(n) + z(n). Let x(w) = 2*w. Calculate x(o(d)).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/3 + 19\/(-3). Let n = -4 - t. Suppose 12 = 5*i + 2*m - 62, -30 = -2*i - m. Solve 3*j + 2*p + 14 = -2*j, 4*j + n*p = -i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -102, -139, -176, -213?\n\"Answer: -37*a - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, n: 14}. What is prob of sequence ng?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6888336 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 478820618 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + (-6 - (4 + (3 - 11))) + 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 3*g. Suppose 4*r - 2*t = -r + 57, 2*t + 5 = r. Let j(q) = r*q + 9*q + 2*q. What is j(d(m))?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**3)**(47\/3)\/(l**(-1))**(5\/9) assuming l is positive.\nAnswer: l**(428\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-5))\/(5\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that f**5 - 2115*f**4 + 1119363*f**3 - 1117249*f**2 = 0.\nAnswer: 0, 1, 1057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from uvuvvu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**2 - 1 - m**3 + 6*m**2 - 10*m + m**2 + 6*m**2. Let n be y(11). Suppose 8 = 3*h - n. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 73 + -508\/7. Let o be (16200\/28)\/(-5) + 3. Let r = o + 113. Sort 5, p, r in descending order.\nAnswer: 5, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 7*m + 7. Let c(o) = 11*o + 11. Let k(h) = 5*c(h) - 8*i(h). Let j(s) = -5*s - 2. Let b(f) = 1. Let p(v) = b(v) - j(v). Give -3*k(x) - p(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26a7a (base 12) to base 4.\nAnswer: -31001332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.09 in 2, 3\/2, 3\/7, 1, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 298 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*i + 266 = -13*l - 42*i, -3*l - 75 = -5*i for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**0)**45*(z*(z*z**(-2\/5))\/z)**(-2\/23) assuming z is positive.\nAnswer: z**(-6\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8153 is divided by 1340.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (16\/(-4))\/(12\/(-6)). Solve t = -3*b + 4 - 2, t - j = -2*b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 5*r = -o + 99, -5*r + 247 = 3*o. What are the prime factors of o?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -2  (c) -1\/7  (d) 17570  (e) 2\/5  (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1998718270.\nAnswer: 2, 5, 107, 233, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -17  (b) 0.3  (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rryr when four letters picked without replacement from qqrsssrryrssrqsrs.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/7))**(-47))**(-29) assuming r is positive.\nAnswer: r**(2726\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes after 3:00 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y - 7. Let n be g(-10). Let x = 543 - 498. What is the greatest common factor of n and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one eighteenth of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 23 + -13. Suppose 3*r + 1 = 4. Let j be (-3 + (-69)\/(-21))\/(r\/14). Solve h - o = -j*h - w, -4 = -3*h - w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60811931.\nAnswer: 23, 653, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 - 2*p**2 + 2*p. Calculate n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 16*y**2 - 55*y + 1. Let q(f) = -12*f - 8. Let k be q(-1). Calculate the remainder when 104 is divided by m(k).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1064*c - 893*c + 2378 + 700 = 0 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 486443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -6*y - 20. Let s be r(-12). Let z = s + -46. Solve 10 = -4*c - z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 151 = 5*c, -7*t - c - 225 = -2*t. Let d be ((-12)\/15)\/((-2)\/155). Let v = d + t. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-28)\/3 + (-6)\/9. Let m be (12\/(-15))\/((-6)\/o). Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26*y**2 - 4*y**2 + 20*y**2 to r*y**2 + h + l*y and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.831 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 PM and 10:18 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 PM and 4:29 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/7)\/n)**(-6\/7)\/(n**(-1\/5)\/((n**(-1\/2)\/n)\/n))*n*n**1*n**6*(n*(n\/(((n\/n**(2\/7))\/n)\/n)*n)\/n)**(-8\/3) assuming n is positive.\nAnswer: n**(-2881\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 129 divide 380292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - -2 - (4 - (-3 - 0 - -10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**4\/5 + 55374*p**3\/5 - 5343624*p**2\/5 + 10521138*p\/5 - 1046577 = 0. Calculate p.\nAnswer: 1, 95, 18361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 418692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 2*n - n = 0, -3 = -5*p - n. Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 11 - (-2 + -13 + (10 - 1) + -11).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(150)*-2)\/(sqrt(40)\/(2*sqrt(8) - sqrt(8))))\/(sqrt(80)\/sqrt(2)*-2*-4).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -9*b + 1689 - 1469. Solve -b*z + 24 = -12*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 7*h + 2*h + 21*h. Let a(b) = 15*b + 0*b**2 - 7*b + b**2 - 8*b. What is a(x(d))?\nAnswer: 900*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((1*sqrt(36))\/sqrt(12) + -5 - (sqrt(27) + 0 - (sqrt(147) + (sqrt(147) - -1*sqrt(147)) + sqrt(147))**2) - (0 + 1 + sqrt(36)\/(2*sqrt(12)) + -2)).\nAnswer: -5*sqrt(3)\/2 + 2348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x**3*x)*x*x**6)**43 assuming x is positive.\nAnswer: x**172","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of u**6\/120 - u**5\/60 - u**4\/24 - 27*u**2 + 26*u + 2. Let p(x) = x**3 - x**2 + 1. Determine -p(i) + 3*w(i).\nAnswer: 2*i**3 - 2*i**2 - 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 16  (b) 3  (c) -1\/11  (d) 15\/11  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 3 = -4*d, -d + 0*d = -5*z + 4. Let y = -27 + 29. What is the lowest common multiple of d and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 11575, 11574, 11573, 11572, 11571, 11570?\n\"Answer: -g + 11576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -f + 60. Suppose 5*r - k - 2*k - f = 0, 4*r - 24 = 4*k. Find the third derivative of 6*c**5 - 6*c**2 - 2*c**5 - r*c**4 + 6*c**4 wrt c.\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -163*1\/(-15) - 20\/(-150). Let w(c) = c**2 - 9*c + 22. List the prime factors of w(k).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 7 + 3)*(-3*q + 2*q + 2*q) + 2*q + 4 - 4 - 1 + 5*q + 1 - 2*q + 2*q + 4*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5881*o + 2900*o + 0 + 0 + 3173*o.\nAnswer: 192*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3139072 and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -299 + 109*w + 3 - 298 - 56*w - 56*w as o*w + j and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (3 - (-2 - 14))) + 0 - 31.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 2*y + 2123 = 9*x, 0 = -3*x - 5*y + 725. Calculate the remainder when 398 is divided by x.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1299\/6 - (-2)\/4 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -19*a + 2. Suppose 0 = 5*k + 5*j - 20, -4*k + 0*k + 1 = j. Let q be o(k). Solve -3*l + 0*l = 2*p + q, -2*l = 2*p + 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0566 - -0.0196. Let m = 18.437 + k. What is the third biggest value in 6\/11, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -435*k + 7. Let g(f) = 2*f**2 + 3*f - 42. Let o(w) = -2*w**2 - 4*w + 56. Let y(q) = 4*g(q) + 3*o(q). Determine y(l(p)).\nAnswer: 378450*p**2 - 12180*p + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -243240014 (base 5) to base 2.\nAnswer: -100011000100111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -5\/4*l**3 + 55 + 115\/2*l**2 - 445\/4*l = 0.\nAnswer: 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -226 (base 12) in base 8?\nAnswer: -476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*f**4 - 3*f**3 + 5*f**3 - 2*f - 212 - 2*f**2 + f - 3*f**3 as n*f + c*f**4 + l*f**2 + x + b*f**3 and give x.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of z**4\/4 + 3*z**3 + 6*z**2 + 270. Calculate c(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 6 + 4 = -a, 0 = -4*x - 5*a - 17. Let v = -9 - -8. Is x not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 182*b + 360. What is the hundreds digit of i(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, s: 1, u: 1}. What is prob of picking 2 p and 1 u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the second derivative of k**5\/20 + 5*k**4\/12 - k**3\/2 - 5*k**2 + 6*k. Let j be n(-5). Solve j*o + 0 = l - 1, l = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-278 - 481 - 157)*(3 - 3 + z**3)*(-3 + 5 - 4).\nAnswer: 1832*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9322\/21 + -444. Let o = 6 + 0. Let l = 6.4 - o. Which is the second smallest value?  (a) -1\/5  (b) u  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 0, -2*z + 0*t + 6 = t. Suppose 0 = z*k - 0*k - 12. Suppose -2*i + 43992 = -7*i + 4*v, -k*v = 8. What is i rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -164 + 70?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**2 - 4 + 6 - d**2)*(-d**2 + 2 - 2).\nAnswer: 3*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93*a + 28*a - 33*a + 25*a + 21*a.\nAnswer: 134*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-3))**(-50)*(w*w\/(w\/(w*w*w**7*w))*w)\/(w**(-10)*w) assuming w is positive.\nAnswer: w**171","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 (base 4) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, 1\/4, 2, 2\/5, 0, -119 in increasing order.\nAnswer: -119, -2\/9, 0, 1\/4, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 42\/(-28)*(12 + -2)*41. Let n = b - -616. Let t(u) be the second derivative of -7*u**3\/6 - u. Calculate t(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 3:11 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.4  (b) -0.05  (c) -0.0073  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -71 - -78. Let q(a) = -a**2 + 10*a - 4. Give q(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 95856148*0.5\nAnswer: 47928074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**2\/2 + 1391316*z - 2782626.\nAnswer: -3*(z - 927542)*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 52602675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (15\/(-9))\/(2\/(-144)*3). Suppose 0 = 33*b - f*b + 14. Solve -o = b*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -11 + 6*r**2 - 5*r**2 - 14*r - 2*r**2. Is i(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.22 - -1.42. Which is the nearest to 4?  (a) q  (b) 4  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8559.764mm in nanometers?\nAnswer: 8559764000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1678 by -1.\nAnswer: -1678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a - 26*a**2 + 54*a**2 - 24*a**2 - 2*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + 37*t**2 + 109*t - 124. Let k be j(-26). What is k rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(3\/2)*(g\/g**(-1\/4))\/g*(g*g**(-7))\/(g\/(g\/g**(-10))) assuming g is positive.\nAnswer: g**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 5) + 2 - 4\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 103630793 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 times -2797?\nAnswer: -89504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5337, -10671, -16001, -21327?\nAnswer: -26649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*l + 13 - 13 + (-1 + 6 - 1)*(-79*l + 32*l - 12*l - 49*l) to the form x + t*l and give t.\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-48)\/8*2\/(-4). Suppose p*a - 11 = 16. What is the remainder when 26 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11444650 * -0.23.\nAnswer: 2632269.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 a factor of 33210914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -435 - 314*f + 143 + 151 + 141.\nAnswer: -314*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 191 a factor of 3494780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2736513257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/8)\/(5\/(-4))*11\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -3\/15559, -1\/2, -9\/4?\nAnswer: -3\/15559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(380\/24)*(-5)\/((-225)\/(-15))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 553 + -553. Let r(v) be the first derivative of z*v + 3 - 2\/21*v**3 + 1\/14*v**4 - 2\/7*v**2. Factor r(w).\nAnswer: 2*w*(w - 2)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-72) + 2\/9. Which is the closest to 2\/65?  (a) 2\/3  (b) -3\/2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.6 + 0.2. Let x = n - 0.6. What is the nearest to x in 1, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3\/13 + 74*b**2\/13 + 134*b\/13 - 210\/13.\nAnswer: 2*(b - 1)*(b + 3)*(b + 35)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 3*i = -47 - 33, -2*y + 32 = -5*i. Calculate the least common multiple of 5 + ((-43)\/(-1) - (2 + 2)) and y.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 226657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 728 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 + 268*i + 5634. Calculate c(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 o when four letters picked without replacement from opvppqvqsqqslplpqo.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -7375, -7377, -7379?\n\"Answer: -2*l - 7373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of d**6\/160 + 41*d**5\/80 - 85*d**4\/32 + 43*d**3\/8 + 5*d**2 - 14*d. Solve v(s) = 0.\nAnswer: -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*b - 244 = 172. Let g = b + 37. Suppose -10*o + 70 = g*x - 6*o, 4*o + 42 = 3*x. What is the highest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.40266 + 0.07765693?\nAnswer: -4.32500307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 27\/18*(-32)\/(-6). Calculate the common denominator of ((-215)\/(-20))\/(14\/s - 2) and 97\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -927075 (base 10) to base 15\nAnswer: -134a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 50 - 46. Suppose x = 3*f + 22. Is f*(12\/18)\/(4\/(-982)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 970 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 27 + -16 + 21?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.8 + 2. Let w be (1 - -5) + (-1705)\/330 - 1. Which is the third biggest value?  (a) f  (b) -3  (c) w  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.3 - -0.7. Let v = -1 + 5. Let m = 6 - v. Which is the biggest value?  (a) m  (b) 3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 - 4*g**2 - 3*g - 4. Let a(z) = -z - 25. Let d be a(-21). Give c(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide 146025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*-2*(-6)\/(-4). Suppose 5*l + 3*p = -23, -l + 3*p = -2 + u. Put 5, 1, l in descending order.\nAnswer: 5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 - 32*d**2 + 73*d + 119. What is c(-34)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2288\/7, -3\/14, -0.4.\nAnswer: -2288\/7, -0.4, -3\/14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 1272?\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5363530 to the nearest integer?\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 3) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9 - 5*g**4 - 9 + (-g - 2*g - g)*(0 - 2*g**3 - 3 + g**3).\nAnswer: -g**4 + 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14786, -14779, -14806, -14867, -14962, -15091?\nAnswer: -15254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3533705*m**2 + 12*m - 197742579 wrt m.\nAnswer: -7067410*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the third derivative of -206*u**2 - 1\/12*u**4 + 0 + 0*u**3 - u. Let c(z) = 3*z. What is c(r(y))?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1 * -7036\nAnswer: 7036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.1 + 0.1. Let w be (-6)\/45 - (-5 + (-196)\/(-105)). What is the second biggest value in -14, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 <= 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 16259301589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 2*l + 6 = 0, -3*x + 0*x - 2*l = 1. Let o = x + 5\/3. Which is the nearest to 2?  (a) 0.1  (b) o  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-4 + sqrt(208))**2 + -5 + (((sqrt(208) + -1)*6)**2 - sqrt(208)) + -2.\nAnswer: -324*sqrt(13) + 7737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -390 - -28. Let p = o - -542. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 58, 104, 170, 262, 386, 548, 754, 1010?\n\"Answer: v**3 + 4*v**2 + 27*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 825630.7l?\nAnswer: 825630700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8539 by -4989.\nAnswer: 8539\/4989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1491*c**4 - 2*c**2 + 9554*c?\nAnswer: 17892*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 149 + -152. Let u(k) = k**3 + 4*k**2 + 3*k. Let m be u(p). Suppose -2*s + 3*v + 2*v + 106 = m, -3*v = -4*s + 198. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4 - (-1)\/6) + 2\/(-12). Is 83\/((-35)\/(-75) + z\/30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7*-4*(-18)\/168?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -315.2 times -4.3?\nAnswer: 1355.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 4*i**2 - 12*i - 34. Is b(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 3*g - 488, g - m - 62 = 102. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-14)\/5*30\/(-48). Let d(x) = x**2 + 10*x - 4. Let r(z) = -z**2 - 11*z + 5. Let l(s) = -7*d(s) - 6*r(s). Let o be l(-3). Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8)\/10*(-4 + -1). Suppose 56 = 2*j + x*y, -2*j = -8*y + 3*y - 11. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 35399414?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0336782167 to four decimal places.\nAnswer: -0.0337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 9:56 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 184, 3, -876, -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01909398 to four dps.\nAnswer: 0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of -121*q**5\/60 + 533*q**3\/6 + 74*q**2 - q. Differentiate h(r) wrt r.\nAnswer: -242*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31d4 (base 14) in base 2?\nAnswer: -10000110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + ((-36)\/7)\/2. Let p = 184 - 1473\/8. What is the third smallest value in p, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -736*w + 71492. Calculate g(97).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h + 15. Let k be q(-6). Let r be -12 + (-5 + 17)\/4. Let z = r - -11. Sort 5, z, k in descending order.\nAnswer: 5, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {v: 3, t: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 173 + 68 = 0. What is the highest common divisor of 63 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 569772.\nAnswer: 2, 3, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5145425 by -158.\nAnswer: 5145425\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1210 + -22?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.2  (b) 14\/5  (c) -2\/9  (d) 0.063  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (743 - 743 - 78*r)*(4 - 4 - r**3).\nAnswer: 78*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k + 3*k - 3*k)*(-k**2 + k**2 - 2*k**2) + 3*k**3 + 4*k**2 - 4*k**2 + (-5*k**2 + 7*k**2 + 9*k**2)*(-2*k + 2*k + 4*k).\nAnswer: 55*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/154 and 55\/406952?\nAnswer: 4476472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -3. Suppose -3*b - n = -4*b. Suppose 0 = -5*l + 3*s + 1, 0 = -0*l - l - s - b. Is l > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 2*(sqrt(162) + 1) + (sqrt(162) - (2 + sqrt(162) + 0)) + -4*(sqrt(162) - (sqrt(162) + 0 - sqrt(162)))*1*6)**2.\nAnswer: 1584*sqrt(2) + 78424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -1 - 3. Let d(z) = -z - 1. Let m be (4 - 7) + 0 + -1. Let g be d(m). Solve g*j - 9 = 3*k, 3*j - 4*k + u - 16 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5 - ((-2)\/2 - -1). Suppose -5 - 1 = -3*i. Let q = y - i. Solve q*t + 2 = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c - 114 + 87 = 0. Let s = 5 - 2. Suppose -2*v = g, -5*g + 11 = s*v - c. Solve g*a - 4 + 16 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + -26 + 20 - (0 - (-4 + 1))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1 - 581*o**2 - 551*o**2 + 3*o - 1 + 3 - 2 wrt o?\nAnswer: -2264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -172882 - -172882. Let -14\/11*f**3 + 8\/11*f + 0 + r*f**2 - 6\/11*f**4 = 0. What is f?\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21 + 55. Let c be (-8)\/(-20) - p\/10. Let j be (1 - 1)\/(c\/(-3)). Solve 12 = 4*f - j*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = 10, 4*g + 2*l + 3*l = 33 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -177165 by -93.\nAnswer: 1905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -11*h**2 + 5*h + 575. Let u(f) = 7*f**2 - 3*f - 283. Let t(m) = -5*u(m) - 3*z(m). Let i(s) = 6*s**2. What is t(i(o))?\nAnswer: -72*o**4 - 310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 557*c*q**3 - 2*c - q - 162 wrt q.\nAnswer: 1671*c*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 861791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 minus 396.0904826?\nAnswer: -374.0904826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35 - -34. Calculate the common denominator of -145\/6 and (-44 - -9)*x\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n. Let b(a) = -7*a + 2. Let x(c) = b(c) - 3*q(c). Let v(d) = 2*d - 2. What is -4*v(u) - 3*x(u)?\nAnswer: -5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -9*b - 116. What is t(-5)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 4:48 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4413 (base 5) to base 3\nAnswer: -211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(108\/40))\/(26\/39)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 12*y + 5. What is the remainder when 108 is divided by l(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/(-8))\/((-1)\/(-120)). Calculate the greatest common factor of 135 and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 divided by 1170\nAnswer: -11\/1170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3131.8 + -3132. What is the nearest to 12 in -1\/4, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 155729086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19 - -11. Let j be (21\/(-28))\/(1\/d). Suppose u - 11 = -2*i + j*u, 4 = 4*u. What is the remainder when 13 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1368651, -27, 0, -2 in decreasing order.\nAnswer: 0, -2, -27, -1368651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20851399 - 84*d - 20851399 - 21*d.\nAnswer: -105*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*t + 165 + 164 + 22*t - 329.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -9*t + 46. Let q be a(5). Let b(w) = 0 + 5*w - 5 + 4. What is the units digit of b(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 138 and 222.\nAnswer: 5106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 312 = -4*o + j, -3*o - j = -238. Let p(x) = 2*x**3 - 19*x**2 + 16*x + 17. Let h be p(9). Is o equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11593142 - -11.4184.\nAnswer: 11593153.4184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 517.24425 rounded to zero decimal places?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -99.999994 + 100. What is t rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 3*w**2 + 3*w + 5. Let a be z(-2). Solve -i + a = 4*p - 2*p, -4*p + i = -19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 - 266 = -24*d. Let s(u) = u + 1. Let f be s(6). Let x(t) = t**3 - 7*t**2 + 4*t - 8. Let b be x(f). Calculate the greatest common divisor of d and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - -1 - (-7 + 41). Let p = -70 - v. Let q = p + 43. Solve q*d - 8 - 12 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (10 + -20)*(0 + (-123)\/2). Let r be (-37)\/(-74) + g\/2. What is the greatest common divisor of 44 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 - 6*y**2 - 5*y. Suppose t - 2 = -7. Let l be u(t). Which is smaller: l or 4\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -6, -10\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -233\/6 - -39. Suppose -2*a + 16 = 2*k - 6*k, 2*a = -3*k - 19. Suppose 0*f - f - 3 = 0. What is the biggest value in a, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 31930*s. Let f(a) = -2*a. Determine v(f(c)).\nAnswer: -63860*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 5*n - 5, -6*b - 11 = -5*n - 8*b. Suppose -2*j - n*w - 2*w = 6, 4*j + w = 24. Calculate the highest common divisor of 133 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 427 + -423. Calculate the smallest common multiple of 3 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - 70*t**2 - 185*t + 233. What is the remainder when c(-68) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 AM and 8:42 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3 - 53*d + 74*d + 3 + 9*d**5 wrt d.\nAnswer: 180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - 6. Let t = 0.2586 + -0.1586. What is the smallest value in 0.2, t, -1\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1024063 is divided by 341351?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 51 - 35. Let a = 34 - w. Let x be (-3)\/a + (-147603)\/(-18). What is x rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1*(3 + (-152)\/4)*3. Let y = b + -98. Suppose 6*u = y*u - 9. What is the greatest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of -m**4\/12 - 2*m**2. Let q(k) = -3*k. Let j(n) = 4*f(n) - 3*q(n). Let w(t) = 5*t. Calculate j(w(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fuzffuzzff. What is prob of picking 3 f?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 2423.22948 microseconds?\nAnswer: 0.0000000280466375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141 = -5*q - 69. Let k = q - -71. Let c(w) = -50*w - 39. Let l be c(-6). What is the highest common divisor of l and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of 0*y - 2*y**2 + 1\/8*y**4 + 0 + 0*y**3. Let m(r) = -10*r. Give m(j(d)).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 2*d - 55 = 0. Let r = 15 - d. Suppose -n - 1 - 2 = 0. Sort n, r, -4 in descending order.\nAnswer: r, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 164978*n**4 + 6*n**3 + 739*n + 186?\nAnswer: 1979736*n**2 + 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1836 + 1841. Solve 0*w = 5*v + z*w + 20, 0 = -4*v + 2*w - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1286 - (-15)\/(-20)*-4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2305421 - -4?\nAnswer: 2305425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 500*r**2 + 20*r + 20. Let z(w) = -667*w**2 - 26*w - 26. Let m(j) = -13*h(j) - 10*z(j). Let b(u) = -10*u**2. Calculate 100*b(t) + 6*m(t).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 7*r**3 - 3*r**2 + 3*r + 3. Let d(l) = -l**3 + l**2 - l - 1. Give -3*d(c) - k(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -393*r + 366*r + 61398 = 0. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -48*d**3 + 13*d**2 + 34*d + 146. Let z(r) = -16*r**3 + 4*r**2 + 11*r + 42. Give 2*h(t) - 7*z(t).\nAnswer: 16*t**3 - 2*t**2 - 9*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 46024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 + -3757.0508.\nAnswer: -3759.0508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112021 (base 3) to base 15.\nAnswer: -1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3004 = -145. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18317 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 257*d**2 + d**3 - 126*d**2 - 131*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/40)\/((590\/(-236))\/((-1)\/(-1)))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 20?  (a) 1.3  (b) -2  (c) 0.14  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 5*r = -105. Let b(i) = -6*i - 75. Let z be b(-13). What is the highest common factor of z and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, k: 2, j: 6, g: 4}. Give prob of sequence ggr.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4.9 and -5?\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 + 3*d + 1. Let z(x) = 2*x + 1. Let l(i) = -2*g(i) + 3*z(i). Let v be l(3). Let f = 30 + v. Calculate the remainder when 25 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.4 - -0.6. Let r = 0.13 + -1.13. Let s = -0.5 - r. Sort 4, s, z in increasing order.\nAnswer: s, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -271*m - 119*m + 2146950. Calculate the greatest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 18\/11*s**3 + 0 + 32\/11*s + 52\/11*s**4 + 6\/11*s**5 - 108\/11*s**2 = 0.\nAnswer: -8, -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 37.9 - 66.6. Let k = -28.699999548 - j. What is k rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 1996*d + 12. Let y(r) = -1245504*r - 7485. Determine 2495*n(o) + 4*y(o).\nAnswer: -1996*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -24*(-3 - (-1)\/(-2) - -3). Let f(x) = h - 13*x**3 - 15 + 10 - 4*x**2. Let t(i) = 4*i**3 + i**2 - 2. Calculate 2*f(j) + 7*t(j).\nAnswer: 2*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 3*r + 32. Let d = r + 6. What is the greatest common factor of 44 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, p: 2, c: 2, q: 3, s: 2, l: 6}. What is prob of sequence cnc?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1603592934?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 58 - 53. Suppose 5 = -5*p + i + 15, q*p - 3*i = 10. Solve d - 2 = 3*x, 2*d - p*x = -0*d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 245*t - 65. Let c(x) = -244*x + 48. Calculate -4*c(l) - 3*q(l).\nAnswer: 241*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20211102222 (base 3) to base 5.\nAnswer: -13300314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3\/35 - -61\/7. Let z = -270 + 1601\/6. What is the common denominator of h and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 11 = -2. Suppose -t*r - r + 20 = 0. Suppose -2*x + r*x + 118 = 2*q, -5*q - 5*x + 295 = 0. Is 33 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -444*l = -260*l - 3312 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of x**6\/80 + x**5\/40 + x**4\/48 + x**3\/2 - x. Let b(j) be the second derivative of o(j). Suppose b(u) = 0. Calculate u.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (34\/8)\/(13\/52). Suppose g*w + 2430000 = 20*w. Round w to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to -7\/11943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 - 13. Let f be ((-21)\/5 + j)\/((-6)\/20). Solve 4*y + 2*s - 10 = -0*y, -5*s = -f*y - 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = 4*x + 175. Let l = x + 49. Calculate the remainder when l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19)\/3 - 196\/245*(-7 + 17)\/(-1).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, e: 6, t: 8}. What is prob of picking 3 t?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/3 + 5533*w**2\/3 - 55255*w\/3 + 46025.\nAnswer: -(w - 5523)*(w - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 3*p + 18, -5*q + 0 = -5*p - 20. What is the nearest to -1 in -5, q, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46.07*-33.\nAnswer: -1520.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 32*l + 4 - 7*l**2 + 31*l - 60*l + l**3 - 4 + 2. Determine y(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/95, 1.4, -102\/541 in increasing order.\nAnswer: -102\/541, 1\/95, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 11:23 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 97, 192, 287, 382?\n\"Answer: 95*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 3*w - 2*w)*(-2*w + 2*w**2 + 2*w) + 2*w**2 + 4*w**2 - 2*w - 7*w**2 + w**3.\nAnswer: -w**3 - w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -1058*a**5\/21 + 46*a**4 + 30*a**3\/7 + 2*a**2\/21 = 0.\nAnswer: -1\/23, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 2 = 4*h, -3*h = -0*h + 3*v - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 313170 and 250965?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9\/(-6))\/(3\/(-8)). Suppose -a + k*a = -9. Let c = -451 - -455. What is the smallest value in c, a, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001101101111000111 (base 2) to base 5.\nAnswer: -40142112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(4\/7))\/(r*(r\/((r*r**(-1))\/r))\/r))**9 assuming r is positive.\nAnswer: r**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 224, -355, -1346, -2749, -4564, -6791, -9430?\nAnswer: -12481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j + 8. Suppose -2*a + a + 10 = -d, -3*d = 5*a - 2. Let q be k(d). Let i(l) = -3*l + 5 - 3*l + q*l + l**2 - 2. Determine i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*f = -374 + 75 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**2 - 13*u - 10. Let r be q(-8). Suppose -2*o + 18 + r = 0. Calculate the remainder when o is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - -5. Let c(i) be the third derivative of 1\/180*i**d + 0*i**3 + 2*i**2 + 0*i + 0 + 0*i**4. Factor c(j).\nAnswer: j**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.2  (b) -0.1  (c) 3  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x - 7. Let n be w(10). What is the derivative of -59*p**3 + 46 - 10*p**n + 22*p**3 - 27*p**3 wrt p?\nAnswer: -222*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 - 2*y**2 + 2. Let m be d(-2). Let i(v) = -1 + 2*v**3 + v**3 - v**3 + 2*v**m. What is i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.67345 nanograms in milligrams?\nAnswer: 0.00000067345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 3*i - 3*m + 4, m - 5 = 3*i. Let y be i - 1\/((-3)\/9). Suppose y*p - 6 = p. Sort 0, p, -4 in decreasing order.\nAnswer: p, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 739670 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 447589?\nAnswer: 37, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5.277505 and -0.2.\nAnswer: 5.077505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2*5\/10 + 2544. Let k = -1645 + h. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 98.9726 to 1 dp.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 210 (base 3) in base 8?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 571 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 + 7*f**2 - 2*f - 12. Let x be n(-7). Suppose -l + 5*t = -19, t + 15 = -4*t. Solve 0 = x*w - 6*w - l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10 - 5152?\nAnswer: -5162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of i**5\/15 - 53*i**4 + 16854*i**3 - 2*i**2 - 242*i. Factor l(x).\nAnswer: 4*(x - 159)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2 + (-1 + 2 - 2)*(4 + 1 - 3) + 3 + 0 - 5)*(-2955 - 7*a**3 + 2955).\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 AM and 7:29 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*p**3 + 57515*p + 31409 wrt p.\nAnswer: -6*p**2 + 57515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2740 times 12155?\nAnswer: -33304700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -671.6?\nAnswer: -671.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 117434317 divided by 16776331.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -37 - -35 - (3 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(-6) + 231\/18. Let y = i - 28. Let p = y - -27. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -14 and 1\/57 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*o, -4*o = 6*w - 7*w + 1436. Is 68 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 36157581 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-49)\/(-21) - (-2)\/3. Suppose -x*f + 96 = -f. What is the tens digit of f\/16 + 18 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 5*j. Let a be l(1). Suppose t + a*g + 23 = 3*t, -35 = -4*t - g. What is the highest common divisor of t and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6230 + -2933. Let u = r - 32999\/10. Find the common denominator of -53\/6 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 691579.6108 to the nearest one hundred.\nAnswer: 691600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 4*n - 36, -2*n + 2*v = -6*n + 24. What is the third derivative of -10*k**2 + 13*k**2 - 15*k**4 - n*k**4 wrt k?\nAnswer: -552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**4\/5 + 74*d**3\/5 - 1058*d**2\/5 - 74*d\/5 + 1056\/5 = 0.\nAnswer: -48, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 30 - 1071889\nAnswer: -1071859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2*z**3 - 2 - 4)*(23*z - 20*z + 22*z) in the form u*z**2 + x*z**3 + r*z**4 + s*z + i and give s.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a (base 14) in base 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -697906 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -7170, -28508, -64068, -113844, -177830, -256020?\n\"Answer: b**3 - 7117*b**2 + 6*b - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/1633632 and -27\/4004?\nAnswer: 1633632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 481 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1535 (base 7) in base 5?\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 235\/6, 45, 0 in descending order.\nAnswer: 45, 235\/6, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*o + 8 = -3*b + 109*o, -5*o = -2*b - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24967, 24968, 24969, 24970?\nAnswer: 24971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28 - -105. Let o = w + -76.999998625. What is o rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/1*((-3)\/3)\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5\/(-55) - (-33468)\/66?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (-1*sqrt(882)*4)\/(-4*-3*sqrt(225)))**2.\nAnswer: -14*sqrt(2)\/3 + 5723\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**2)**(-7))**4 assuming t is positive.\nAnswer: t**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 198*n + 7323 = 21579 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 55284 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32b (base 12) to base 7.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1728, -2261, -3148, -4389, -5984?\n\"Answer: -177*x**2 - 2*x - 1549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**2 - 2 + 2 + (4 - 3 - 3)*(l**2 + 3*l**2 - 3*l**2) + 4 + 6*l**2 - 4 + l**2 + l**2 - 3*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4165*i = -4161*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u. Let i(d) = 9*d. Let x(w) = i(w) + 5*y(w). Let s(n) = -n**2 - 2*n**2 - n**2 + 2*n**2. Calculate x(s(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*o = -12*o - 16. Find the third derivative of p**2 + 3*p**2 + 257*p**o + 368*p - 490*p - 82*p**4 - 3*p**2 wrt p.\nAnswer: 4200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(165)*1 + sqrt(165))\/sqrt(11))\/((sqrt(147) - sqrt(147)*-2) + sqrt(363)*-1)*-2.\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 309 (base 12) to base 7.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -61, 793, -1 in ascending order.\nAnswer: -61, -2, -1, 793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 108*c**3 + 2*c**2 - c. Suppose -f + 4*n + 2 = 1, 2*f - 2 = 2*n. Is r(f) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -16*a**2 - 199*a - 2. Let h(z) = 9*z**2 + 100*z + 1. Calculate -4*b(m) - 7*h(m).\nAnswer: m**2 + 96*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -389 + 389. What is the nearest to -1 in w, 1.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 + 7 = 2*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3779 a factor of 85121975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2877554 to the power of 1\/2, to the nearest integer?\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2400\/(-3150) + 8\/6. Suppose -8 = 5*s + 2*q, -4*q = s + 2*s + 2. What is the fourth biggest value in k, s, -0.5, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 42 - 40. Suppose s*f = f - 618. Let z = -263 - f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 261.8, 13, -57.7?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 4*f = f + 3, -2*s + f = -19. Let u(m) = -m**3 + 12*m**2 + 2*m - 24. Let z be u(s). Let z*x**2 - 5*x**2 - 2*x**2 + 3*x**2 + 4*x**4 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3552\/60 - (10\/15 - 154\/105)) + 1.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 21\/2*i**3 - 1\/2*i**4 + 19 - 37\/2*i**2 - 21\/2*i = 0?\nAnswer: -1, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*i**3 + 136*i - 136*i.\nAnswer: 29*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*i**3 + 137994*i**2 + 236512*i - 78840.\nAnswer: 2*(i + 2)*(i + 9855)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from mmymbmymmmmyyyy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -18624.\nAnswer: -1\/9312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 + 7*d**2 + 36*d - 39. Let w = 619 + -609. Let f be p(w). Solve -f = c - 5*a, 2 = 4*c - 4*a + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 7260?\nAnswer: 14520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, h: 5, g: 2, t: 5, q: 1}. What is prob of picking 1 h and 2 g?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22, -72, -158, -280, -438, -632?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6730674072.\nAnswer: 2, 3, 43, 107, 60953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 3*h - 551 = 0, -5*a + 325 = 4*h - 363. Let o = -474 - -509. What is the greatest common factor of a and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.0225 or 5958?\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 13) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 15 - (-8 + 8 - (-8 + 1)) - -4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 81*o + 80*o = 14, -5*m - 22 = 2*o for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-78)\/((-5)\/50*30).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12210 (base 3) to base 11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 3*s + 10*s + 72, 4*l = 3*s + 32. Solve 0 = -l*n - 5, 2*j + 0 + 3 = -n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.05 - 3.05. Suppose -12 = m + 11*m. What is the closest to -2\/21 in m, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.78 - 0.22. Which is the third smallest value?  (a) 6  (b) -5  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1911 - 234 = -289*q - 2369 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12097*j + 12127*j = -120 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l - 3*j + 12, -4*l - 2*j + 3 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - 2) + -4 - (5 + -12) - 27?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 188716 a multiple of 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 + -1 + 20\/(-2). Calculate the lowest common multiple of 22 and n\/3*12\/(-10).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 5)*((t + t + 0*t)*(-t - t + 4*t) + (-2*t - 2 + 2)*(-3363 - 89*t + 3363)).\nAnswer: 364*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 3 - 5. Let z(l) be the second derivative of -l**5\/4 - l**4\/4 - l**3\/3 + l**2 + 5*l. What are the prime factors of z(p)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -78 - -3. Let b be (2\/(-1))\/(3\/g). Let p = b - 39. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -160605 (base 7) to base 8\nAnswer: -75430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2288291520 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from qllqll.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-90)*(9 + -6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-8)*m*m\/m**(-5\/3))\/((m**14*m)\/m)**(-21) assuming m is positive.\nAnswer: m**(920\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -4*c + 13. Suppose -5*a + a = -c. Suppose 5*g - 30 = 4*d, 0 = 3*g - a*d + d - 16. Put 1, -3, g in decreasing order.\nAnswer: g, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x + 8. Let g be z(8). Suppose -3*s - q = 4*q - 43, g = -3*s + 3*q + 51. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1859405?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 21*k**4 + 4*k**5 - 94982117 + 94982117 + 21*k**3 + 4*k**2 = 0. What is k?\nAnswer: -4, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-1)*1\/(-3). Solve -d + f = -3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/2 and -81\/324442.\nAnswer: 324442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1615582402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50 and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**3 - 3*x**3 + 2*x**3)*(1 + 1 - 4)*((-3 + 3 - 1)*(-4*x + x + 4*x) - 321 + 321 + 28*x).\nAnswer: 54*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-3))**(-2\/157)\/(q\/(q\/(q*q**(-5\/3)))*q\/q**4) assuming q is positive.\nAnswer: q**(1739\/471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of 7*x**3\/6 + 8*x**2 + 30*x. Let y be b(-7). Let k = -30 - y. Solve -2*a - k*a - 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m + 2*m + 0*m)*(-199 - 6 + 123 - 326).\nAnswer: 408*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, -57, -133, -249, -411, -625, -897?\nAnswer: -1233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b + 11 - b + 5*b. Let v be c(-12). Let d = -9 - v. Solve -12 = -d*t + t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, -0.16, -0.1 in descending order.\nAnswer: -0.1, -1\/7, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -19b7 (base 12) to base 5\nAnswer: -100123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 3*k**5 - 198*k**4 + 2877*k**3 + 4302*k**2 - 18576*k = 0?\nAnswer: -3, 0, 2, 24, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of 7*v**6\/120 - v**5\/60 - 5*v**4\/24 + v**3\/2 + 6*v**2. Let u(p) = -6*p**3 + p**2 + 4*p - 2. Determine 4*o(r) + 5*u(r).\nAnswer: -2*r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31 - 33 + 62 + 103*a)*(a - 2 + 2)*(2*a + 2*a - 17*a).\nAnswer: -1339*a**3 + 26*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4 + 322\/21)\/((-4)\/(-6)). Suppose 3316 = -25*q + t*q. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3832 is divided by 3177?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = 4*f + 12, -5*g - 9 = -32*f + 35*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 4 - 7 = 0. Let k(m) = -11*m + 100. Let y be k(9). Suppose -2*v - i - 1 = 0, -4*v + y = 3*i + 4. Solve -3*a - f + v = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-34)\/5 - (-11)\/(-55). Let s be (h\/7)\/(1\/(-63)). What is the highest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, y: 9, o: 6}. What is prob of sequence yymy?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 656 and 14914857?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -33610 rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 2*u - 5. Put -1, u, 1, -4 in increasing order.\nAnswer: u, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*h + 2*h + 0*h + (1 + 2 - 1 - 3 + 5 + 0 + (0 + 0 + 2)*(-1 - 2 + 1) + 1 + 1 - 4)*(-2*h + 1 - 1) in the form r + a*h and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 97, 202, 323, 466, 637, 842?\n\"Answer: y**3 + 2*y**2 + 92*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 - -13.93. Let j = -61 + 61.33. Let q = f - j. Which is the nearest to -2?  (a) q  (b) -4\/7  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*b = 69*b - 31*b - 312. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*t + 261 - 13*t + 17*t + 4 - t to the form h + k*t and give h.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 961 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1704 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes after 6:35 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1705, 1704, 1711, 1732, 1773?\nAnswer: 1840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from rebbeaeaebte.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -55?  (a) 40  (b) -15  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -14*d**4 + 2642*d**3 + 5586*d**2 - 2808770*d - 802900 = 0.\nAnswer: -31, -2\/7, 35, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -10 - 3*a - 3*a + 5*a + 8*a. What is the tens digit of m(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15, 16, 9, -12, -53, -120?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 30 - (569 + -599).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 361867492 a multiple of 465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + -23213?\nAnswer: -23203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, 0, -5, 4, -2, 504, 3.\nAnswer: -5, -2, 0, 3, 4, 26, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 252.95 rounded to 0 decimal places?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 AM and 7:22 PM?\nAnswer: 653","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1006, -1004, -994, -970, -926, -856, -754?\n\"Answer: l**3 - 2*l**2 + l - 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -4*s**3 + 22*s**2 - 15*s + 407. Is c(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 20 = 2*r. Let k(o) = o**3 - 24*o**2 + 2*o - 42. Calculate the remainder when r is divided by k(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -2*b + 16. Let s = 6 - b. Solve f + 1 = 0, -5*n = -s*n - f - 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2920815, -5841631, -8762447, -11683263?\nAnswer: -14604079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -34 - (-8 + (17 - 27))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -542281 divided by -36?\nAnswer: 542281\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {x: 1, e: 1, r: 2, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 45 + -51. What is the smallest value in -3, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t + 4*r - 53 + 18, 3*r - 15 = 0. Suppose -3*d + 4*y - 4 = 0, -65 = 5*d + 2*y + 3*y. What is the nearest to -2\/7 in d, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + -4. Let n be (24\/30)\/((-46)\/(-5)). Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - -3. Let r = -3 - c. Let m = 148\/345 - 2\/69. What is the closest to m in r, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**3 - 24404*x**2 - 74444402*x = 0 for x.\nAnswer: -6101, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m + 2. Let j = -6 + 8. Suppose -4 = -j*t + 3*t. What is x(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 3*a + 2. Let j(h) = -h**2 - 14*h - 2. Let q be j(-14). Give b(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z**4\/3 - 21425*z**3\/3 - 57196*z**2 - 364729*z\/3 - 214570\/3 = 0. What is z?\nAnswer: -5, -2, -1, 21457\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**2 - 7*w + 3. Suppose 0 = -2*g + 24 + 12. Let t = g + -11. Calculate a(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 981090 is divided by 6909.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gxg when three letters picked without replacement from {g: 3, x: 11}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1233 - 30330?\nAnswer: -24042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1251 and 6104277?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyyyyynyny. Give prob of sequence yy.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 17984.83 millennia?\nAnswer: 179848.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -352\/3*q**2 - 452\/9*q**3 - 8*q**4 + 192 - 4\/9*q**5 - 16*q = 0?\nAnswer: -6, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 3 - 21*v - 8 as n + a*v and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - 10332201100?\nAnswer: -10332201043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t - t = -14. Solve -t*w = 2*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-303)\/(-21) - 32\/(-56). Suppose -2*w + 7*w = c, 3*i = 3*w - 9. Solve i = -k + 6*m - 7*m, -m = -3*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 609 * -64692.1\nAnswer: -39397488.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 15) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j**2 + 40*j - 43. What is a(19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, -33, -0.5, 8, -12?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -8*k + 11*k - 1601, k - 2*a = 541. List the prime factors of k.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + 4 - -3) + 8 + (-10 - -6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-22)\/(-33))\/(1\/3). Is -2*p\/8*-142 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 1 = z. Let r(i) be the first derivative of 4\/9*i**3 - 4\/3*i + 1\/3*i**2 + z - 1\/6*i**4. Factor r(b).\nAnswer: -2*(b - 2)*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of 1\/30*c**5 + 7*c - 1\/9*c**3 - 1\/18*c**4 + 1\/3*c**2 + 0. Factor n(a).\nAnswer: 2*(a - 1)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 37, -17 in increasing order.\nAnswer: -17, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -2*g + 2*c - 12, -4*g + 4*c - 24 = 0. Are -2 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 172796378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 772 = 4*t - 0*t + 4*l, 2*t + l - 389 = 0. Calculate the least common multiple of 11 and -14*(-7)\/(t\/8).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1373 - -784. Is -1 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2183615 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h. Let g(l) be the second derivative of 0*l**2 + 1\/3*l**3 - 5*l + 0. What is y(g(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(88) - -2*sqrt(88)))\/((sqrt(32) - (sqrt(32) + sqrt(128)\/sqrt(4)))\/sqrt(4)))**2 + sqrt(44)\/(sqrt(256) + (-4*sqrt(256) - sqrt(256)))*-1.\nAnswer: sqrt(11)\/32 + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9.3 - -1.3. Let l = m - -7.4. Let r = l - -0.60003. What is r rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -197 - -192.03. Round a to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 20 = -0. Suppose 2*q - 5*r = -20, -a*r + 14 + 6 = q. Solve q = -c - 2 - 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3708740158 a multiple of 1675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29650*k + 29650*k - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {p: 2, n: 5, j: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -1. Let p = -0.081 + 502.081. Let g = p - 499. Which is the closest to g?  (a) s  (b) -2  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9775 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 9137906252 + -1\nAnswer: 9137906251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 PM and 1:09 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + n + 1 + (-5*n - n - 5*n)*(-2 + 2 + 5).\nAnswer: -54*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.075256 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3783 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 2*t**2\/21 - 404*t\/7 + 61206\/7 = 0.\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 0*s = 8. Suppose 0 = 3*z + 2*p - s - 9, -p + 1 = 0. Is 3 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3676 at most as big as 3676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of -2*d**3 - 11*d**2 - 3\/8*d**4 + 0 + 1\/20*d**5 + 0*d. What is the remainder when i(6) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 63, 45, 27?\n\"Answer: -18*k + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 290765899.\nAnswer: 79, 139, 26479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/1258 and -25\/8.\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 - 10*d + 12. Determine g(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*y + 11. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -50*u**3 + u**2 - 25*u + 3. Let r(y) = -50*y**3 + y**2 - 26*y + 2. Let v(l) = -2*b(l) + 3*r(l). What is the third derivative of v(o) wrt o?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/5  (b) -0.1  (c) 5  (d) -0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -65 divided by -5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8238871 - 4?\nAnswer: 8238869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -33, -12, 2, 6, -2 in ascending order.\nAnswer: -33, -12, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 - 20*x**2 - 22*x + 22. Let l be f(21). Let u(r) = 11*r**3 - 2*r**2 + r. What is the units digit of u(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -92*u + 756*u + 128*u**3 - 265*u**3 + 1138*u**3 wrt u.\nAnswer: 6006*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84728313?\nAnswer: 3, 251, 37507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 31 = 3*u, 18*r + 7 = 4*u + 15*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*w + 14*w - 8*w in the form z + m*w and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -47, -173, -311, -467, -647, -857?\n\"Answer: -t**3 - 119*t + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 134, 251, 368, 485, 602, 719?\nAnswer: 836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3176\/647 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12474 and 210.\nAnswer: 62370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of -1487*n**6\/10 + 4827*n**2\/2 + 1313*n - 1. What is the derivative of z(w) wrt w?\nAnswer: -17844*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8257*j**3 - 858730*j**2 + 22327136*j - 5408.\nAnswer: (j - 52)**2*(8257*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -17987*t + 71460. Determine w(4).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of -p**4\/12 + 7*p**3\/6 - 10*p**2. Suppose -5*q + 4*c = -3*q, q = 3*c + 2. Let i = 9 + q. Determine f(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -326 + 324. What is n rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 13*v + 155. Let x be l(-11). Suppose 3*a - 9 = -2*c, 0*a + 3*c + x = 4*a. Solve -6*b - k - 18 = -2*b, -a*b + k - 17 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 434 is divided by 126.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 7:29 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32459*j**3 - 32459*j**3 - j - 3*j**2 - j**4 to the form f*j + h*j**3 + y + q*j**2 + x*j**4 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/(-6) - 34\/51\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(1\/2))**0\/((x\/(x*x*x\/((x*x**(-8)*x)\/x)*x*x))\/(x**(-1\/5)*x)))\/((x\/((x**(-2\/7)*x*x*x)\/x))**38)**(-27) assuming x is positive.\nAnswer: x**(-25237\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -2682356, -1, -2 in ascending order.\nAnswer: -2682356, -2, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2274  (b) -1\/5  (c) 0.2  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4430, 8680, 12894, 17054, 21142?\n\"Answer: -3*b**3 + 4271*b + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes before 6:14 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/4)*r)**(2\/15)\/(r*r\/(r*r*(r**(1\/2)\/r)\/r*r*r*r))**(-48)*(r**(2\/3))**46\/(r**0)**22 assuming r is positive.\nAnswer: r**(-1237\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, -32, -105, -220, -383, -600, -877, -1220?\nAnswer: -1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r**(-3))**(10\/11)*(r*r**(6\/7)\/r)\/r**(-1) assuming r is positive.\nAnswer: r**(73\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + 2\/(-1) + -2. Let v be 15\/5 + (-15)\/d. Suppose o + 3*m + v = 0, 4*m + 34 = -o - 2*o. Let f(x) = x**2 + 6*x + 7. What is f(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 201, 388, 565, 732?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - t - 24 = -x, -51 = -5*x - 4*t. List the prime factors of 1095 + (x - 11 - 4).\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 12. Let v = j - 10. Let a(k) = k. Let q(l) = -6*l - 2. Determine v*a(z) - q(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -5*n + 30496, -a = -3 - 0. List the prime factors of n.\nAnswer: 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(76) + -3*sqrt(76)) - sqrt(76)) + -4*(sqrt(76) - sqrt(76)*2))\/(-4*sqrt(16)\/sqrt(4) - sqrt(180)\/sqrt(5)).\nAnswer: -5*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -3*b**3 - 30*b**2 + 93*b + 1080. Determine z(-11).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8611\/981 - 4\/(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 3 h when four letters picked without replacement from {a: 8, t: 1, g: 6, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -30314*c**2 + 2*c + 131630.\nAnswer: -60628*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 - 5. Let h = 5 - v. Let t be (-19)\/(-3) - (25 - (-1700)\/(-75)). Which is the nearest to h?  (a) 1  (b) 0.5  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 AM and 1:36 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1106\/(-15) + 2\/5. Let p = g - -74. Let q = 19\/100 - -3\/50. What is the nearest to q in p, 1\/3, -5\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -9350*s**2 - 16*s - 7. Let l(k) = 4674*k**2 + 9*k + 4. Calculate -7*l(i) - 4*x(i).\nAnswer: 4682*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15.079 - 0.079. Let d = v - 22. Let n = d + 7. Is n greater than 10\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 40*x**2 + 88*x + 2007. List the prime factors of t(-17).\nAnswer: 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 36093744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6\/16 - (-3 + 17725\/(-8)).\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00013022 to six dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 3*m - 2*h - 14, -3*h = 15. Let r be -2*(1\/(-2) - m). Solve 7 = 5*i - 2*i - o, -i + 13 = -r*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 672*f + 40. Let k(u) = -84001*u - 5010. Determine -501*c(q) - 4*k(q).\nAnswer: -668*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110 - 111000010011100?\nAnswer: -111000010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-5 + 1 + 5) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 p when three letters picked without replacement from {p: 6, v: 4}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -a*r*v - 49*a*r - 9*a*v - r*v - 13133*v wrt a?\nAnswer: -r*v - 49*r - 9*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 4*l - 22. Let h be n(8). Suppose -h*t + 30 = -90. Solve -t = 6*r - 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2 - 12*c + 30. Calculate r(7).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -5*b**3 - 4*b**2 - 4*b + 4. Let m(c) = 4*c**3 + 3*c**2 + 3*c - 4. Suppose 0 = 31*x - 15*x - 48. Calculate x*q(n) + 4*m(n).\nAnswer: n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together 472856980 and -3.12816.\nAnswer: 472856976.87184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (40\/(-15) - -2)*(-57 - 3). Suppose 3*d + 17*d - p = 0. Solve -d*n = 3*n - 4*t - 4, 0 = -3*n - 2*t + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/6 in -0.4, 48, 5\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1555984\/5214*57\/2 + 1\/(-11)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 23987174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 divided by 1797766?\nAnswer: -9\/1797766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (2*14\/20)\/(144\/(-720))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -0.5. Suppose -8*d + 20*d = 48. Let o = -9 + 9.4. What is the third smallest value in o, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 353252130 and 2046?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -4*d + 1. Let f(s) = -s. Calculate -c(m) + 6*f(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -22504 - -22624. Solve q*c = 154*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (126\/(-35) - (-2)\/(-5))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8629 - -8683. What is the greatest common factor of u and 432?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1409, 3137, 5169, 7499, 10121?\n\"Answer: -g**3 + 158*g**2 + 1261*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dyyy. What is prob of picking 3 y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oomaoazzomm. Give prob of picking 1 a and 1 z.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0224581496 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (18*w + 18315 - 18318 - w)*(2*w - 2*w - 2*w + (-7 + 4 + 1)*(w - w + 2*w) - 1 + 1 - w + 2*w + 0*w - w + w - 3*w + 7*w) to t*w + j*w**2 + b and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 7*w - 1. Let y be u(-1). Let t be y - (0 + -2) - -2. Let c(i) = i**2 + 3*i + 2. What is the units digit of c(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -12  (b) -5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**4 + n**2 - n + 1. Let z(t) = 15*t**3 - 20*t**2 - 30*t + 25. Let s(l) = -5*r(l) - z(l). Factor s(m).\nAnswer: -5*(m - 1)**2*(m + 2)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 33 * -20.\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 45 (base 6) to base 8\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 6 = 14. Let b(n) = -3*n**3 + 35*n**2 - 25*n + 32. Let m be b(11). Put m, u, 5, 1 in ascending order.\nAnswer: u, m, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*j - 6*j + 5*j**2)*(-j + j - 2*j**2) + 0*j**4 - 2*j**4 + j**4 + (0*j**2 - j**3 + 0*j**2)*(2*j - 5*j + j).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooouuoulououuoo. Give prob of picking 1 o and 1 u.\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 24713136 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: Let v(c) be the second derivative of -5\/126*c**7 + 23\/90*c**6 + 4\/9*c**3 + 0*c**2 + 1\/9*c**4 + 0 - 1\/2*c**5 - 3*c. What is k in v(k) = 0?\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2021002 - 10?\nAnswer: -2021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/21 and 32\/3044595.\nAnswer: 21312165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 5561570.7 minutes?\nAnswer: 551.743125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = 5*g + 5*f, -5*g + f = 3*f + 72. Let h = 88 + g. Calculate the greatest common factor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(99) + -3*sqrt(99)))\/((sqrt(45)*-3)\/sqrt(5)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -64 - -65. Which is the closest to r?  (a) 0.5  (b) 11  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (32 + -37) - (-101 - -9)) + 1 + 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10143)\/(-459))\/23 + 9*10\/(-135)?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 150061*r**4 + 292*r**2 + 3*r - 44831050?\nAnswer: 1800732*r**2 + 584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5\/306  (b) 2\/9865  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -27*j**3 - 27*j**3 + j**2 + 13*j + 55*j**3 in the form t*j + v*j**3 + h*j**2 + o and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3315, 3272, 3229?\n\"Answer: -43*y + 3358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 40769546053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4 + 125\/15 - 1\/3. Suppose w + o*w + 650 = 5*t, -654 = -5*t + w. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80981 and 10152.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 + 1 + 3 + 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/348 and 37\/3652.\nAnswer: 317724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 26376\nAnswer: 26379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 300 + -184.1. Which is bigger: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k + 2. Let i(l) = 664*l + 25. Let x(m) = -i(m) - 6*s(m). Is x(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 529 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 6:57 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25180170 and 3450?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -11*t**3 - 2*t**2 + 1. Suppose 0 = -2*u - 2*u. Let d be (-1 + u)\/(0 + 1). What are the prime factors of f(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 375 divide 28595485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/13 - 0 - (-14)\/91. Is k less than or equal to -4\/105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5645.6031 and 4.\nAnswer: -22582.4124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.01143 - 0.31143. What is the nearest to -1 in j, -72, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjjz when four letters picked without replacement from zzjzzjjzzj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, s: 1, e: 2, w: 2}. Give prob of picking 1 g and 1 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 526269 is divided by 278?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -97 + 66. Let q = -26 - k. Solve -3*y - y + 33 = -q*c, -13 = -4*y + c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b**5 - 156*b**3 - 30*b**2 - 6*b.\nAnswer: -60*b**2 - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a3 (base 13) in base 4?\nAnswer: -10232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -343 + 3413. Suppose -i = -5*o - 5*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**2 - 3*j + 7. Let u be d(-4). Let h = u + 17. Suppose -4*a + 2*a = -h. Calculate the remainder when a is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10*6\/(-20)*-2. Suppose -2*w + 60 = 3*w. What is the greatest common divisor of w and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 10  (b) 3\/13  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-2)\/((-16)\/(-10))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5*-31699\nAnswer: -158495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 - ((18 - 22) + 26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2*v - 23 = 0. Let s = -11 - v. 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: Are 1017215 and 1017198 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/15*t**4 - 8\/15*t**3 + 0*t + 8\/15*t**2 + 0.\nAnswer: 2*t**2*(t - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1122*h + 1896 = -2064 - 6138. Suppose 0 = -0*v - v + 3. Calculate the highest common divisor of v and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/(a*a**(1\/5))))**(5\/9)*a**(-1)*(a\/(a*a**(2\/3)\/a))\/a assuming a is positive.\nAnswer: 1\/a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v + 33. Is m(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4 + (-9)\/((-18)\/(-412)). What is the common denominator of o\/(-50)*7\/6 and 75\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3589 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 3*s + 8, 0 = 2*s + 3*s - 5*d + 10. Suppose -2*h + 188 + 12 = s. Round h to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**3)**(-20) assuming w is positive.\nAnswer: w**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4 - 102)*(-927)\/18 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 0.3  (c) -1.4  (d) 0.7  (e) -0.1  (f) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the second derivative of g**3\/6 - g**2\/2 - g. Let x be d(0). Let q be -3 + 4 + (x - 2). Which is the nearest to 0?  (a) -0.2  (b) -3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1280544896 divided by -5\nAnswer: 1280544896\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2048408 and 19144?\nAnswer: 2048408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20 + 20. Suppose 3 = -4*x + x. Sort x, f, -2.\nAnswer: -2, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 145782363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10576\/3 + 3526. Which is the smallest value?  (a) m  (b) 3  (c) -0.0642\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 3*g + 13)*(-4 + 2 + 3 + (-3 - 1 + 3)*(-2 + 3 + 1) + 2 - 1 + 1).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 66, 120, 170, 216, 258, 296?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1080, 1350, 1620, 1890?\n\"Answer: 270*y + 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**2\/t)\/t)\/((t**(-20)*t)\/t)*(t**10*t)**(-8))**(-38) assuming t is positive.\nAnswer: t**2584","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2183 a factor of 296783766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/58932 and 13\/8.\nAnswer: 117864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/151 + -445\/1208. What is the nearest to -0.1 in -2\/9, k, 2\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -28e00a - -2?\nAnswer: -28e008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 - 4*g + 3. Let f be y(0). Suppose 2*i - 1955 = -f*i - 5*n, -6 = -3*n. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of 131*p - 25\/27*p**3 - 4\/45*p**5 + 2\/3*p**2 + 1\/2*p**4 - 2. Factor v(q).\nAnswer: -2*(q - 2)*(q - 1)*(8*q - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000090667 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 6307955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 r when three letters picked without replacement from {r: 2, z: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 155*j**2 + 2035*j + 260 = 0.\nAnswer: -13, -4\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.428 and 2.41?\nAnswer: 2.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11136023 or 0?\nAnswer: -11136023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 5*z + 8 = 0. Let y be (0 - 36)\/(3 + z). Factor -147*d**3 - 53*d**2 + y*d**2 - 67*d**2 + 156*d - 24 - 126*d**2.\nAnswer: -3*(d + 2)*(7*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 56*d**2 - 1215*d**4 + 1217*d**4 - 31*d**2 + 2*d**3 + 3*d + 0*d to the form k + p*d + n*d**4 + q*d**2 + w*d**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Is 871207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 388026794 to the power of 1\/2, to the nearest integer?\nAnswer: 19698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121592*v + 121642*v = 1600 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from iiiiiihiiiiiiiiiiii?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 9*f. Let u(c) = -3350*c**2 + 6635*c**2 - 3313*c**2. Give h(u(t)).\nAnswer: -252*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*x + 1113 = 71*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -48865*m**3 - 5*m - 1340099 wrt m?\nAnswer: -146595*m**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**3 - 4*j**2 - 3*j + 4. Let r be -1*(-4 + 3)*-4. Let f be o(r). What is the highest common factor of 176 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -3*t - 8. Let s(p) = -20 + 0 + 4 - 6*p. Let m(x) = 4*s(x) - 10*u(x). Is 11 a factor of m(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/6)*l*l\/l**(-3)*(l\/l**1)\/(l*l**(2\/5)))**36)**6 assuming l is positive.\nAnswer: l**(3708\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1431\/4 + -360. Which is bigger: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/4*2\/(-1). Let x(d) = -d**3 + 39*d**2 - 75*d + 46. Let h be x(37). Suppose 0 = -5*u - r + 17, 3*u + 4 = -2*r + 17. Put u, p, h in descending order.\nAnswer: h, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-3)\/4)\/((-210)\/112). Which is the nearest to r?  (a) 0.3  (b) 13  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of -x**7\/2520 + x**6\/720 + 7*x**4\/24 - 5*x**2. Let m(d) be the second derivative of n(d). Determine m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 346333\/9876 at most 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 492.5302nm?\nAnswer: 0.00004925302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 PM and 3:55 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3714, 3705, 3690, 3669, 3642, 3609, 3570?\n\"Answer: -3*f**2 + 3717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:51 AM and 7:27 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106808?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (-2 - -3 - 11)) + 589 + -598.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.763409, -0.5, -0.3.\nAnswer: -0.763409, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from eeedeed.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 12 = -0*r. Let t(y) = 2*y**3 - 3*y**2 + 6. What is the smallest common multiple of t(r) and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/4 + (-60)\/40.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4175.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -13*g**3 + 14*g**2 + 24*g - 3. Is b(-8) 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 4297 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, -4, 2\/31, -5\/2 in increasing order.\nAnswer: -4, -5\/2, -1\/2, 2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23, -15\/4, -6, 9\/5, -2.\nAnswer: -6, -15\/4, -2, 9\/5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 41\/3 - ((-10)\/15)\/(-1). Suppose 0 = -3*i + f*i - 1340. List the prime factors of i.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 259, 262, 275, 304, 355, 434?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 l, and 1 y when three letters picked without replacement from {e: 5, l: 2, q: 3, f: 3, y: 2}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-24)\/22)\/((-680)\/748))\/(((-120)\/425)\/8).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**22*z*z**1*z*(z\/z**16*z)**11 assuming z is positive.\nAnswer: z**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nwn when three letters picked without replacement from wwrnrnrwwrrrwrnrn?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3, 30, 91, 186, 321, 502?\n\"Answer: m**3 + 8*m**2 + 2*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -851645*o + 39060 = -851211*o for o.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/6604 and -34\/3937.\nAnswer: 204724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 394\/47 + -16769\/1692. Let i = 108659\/16 - 6787. Find the common denominator of l and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -13227*s + 9. Let w be k(2). Suppose -24*j = -19*j + 74725. Let g = j - w. Round g to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.05?  (a) -0.016  (b) -1\/3  (c) 3  (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -6336.1755 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 780716 is divided by 166.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 178884 - 14*w**3 - 178884 + 12*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwnw when four letters picked without replacement from {r: 2, d: 5, w: 5, n: 3, c: 5}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1616\/1944)\/(((-596)\/(-48))\/(-149)) - (-9 + -1).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 45 = -100. What is the remainder when y is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 2092348.\nAnswer: -5\/2092348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35598270 divided by -7119654.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2176*-4.39.\nAnswer: 9552.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.5 - 2.5. Let s = 13 + -8. Let j = -5.1 + s. Which is smaller: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mfvvmifililiymv. Give prob of picking 2 l.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3482985 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -188937, -755837, -1700671, -3023439, -4724141, -6802777?\nAnswer: -9259347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 22 + 33122?\nAnswer: 33144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36)\/(sqrt(30)\/(sqrt(50)\/sqrt(5))))\/(sqrt(144)\/sqrt(4) - sqrt(16)\/sqrt(4)*-2).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 5297.557 to the nearest integer.\nAnswer: 5298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -82331 + 82354. Suppose 1224 = 4*n - 336. Calculate the remainder when n is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -347*l**2 + 169*l wrt l?\nAnswer: -694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 3*h + 112 = 0, -4*h + 3 = -1. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -447, -1665, -3597, -6171, -9315, -12957, -17025?\n\"Answer: 12*d**3 - 429*d**2 - 15*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 27042352 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 261738.9+1353\nAnswer: 263091.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 42 - (28 + (24 - -6))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -69*p + 68*p + 151. What is the remainder when p is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/5, 0, 4\/7, 0.6, 6208?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 3*k = 16, 2*j + 2*k = -k - 4. Put j, 5\/6, -5 in descending order.\nAnswer: j, 5\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2371532 to the power of 1\/2, to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 9287 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: What is the highest common factor of 1820 and 6188?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = u - 6, -6*u = -u - 5. Let w(d) = -15 - 9*d - s - 26 + 5. Is w(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 0.2, 3, 1669.7, -1\/20 in descending order.\nAnswer: 1669.7, 3, 0.5, 0.2, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-238)\/56)\/((((-21)\/(-16))\/7)\/(117\/156)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3870 - -1364. What is p rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 251008\/104595 + 4\/20919. Factor -3*r**2 + 3\/5*r**3 - o*r + 12.\nAnswer: 3*(r - 5)*(r - 2)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 PM and 12:26 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -325807\/3 - -108602. Suppose -4*k - 12 = -4. Which is the closest to y?  (a) -35  (b) -3\/2  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/18 and ((-397)\/110 - -1) + 6\/30?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + 4*d**2 - d + 2. Determine h(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -2549696 greater than or equal to -2549696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 4, o = 5*h + 5 - 18. Is 4 a factor of 56\/12 + (-2)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z**2 + z**3 - 5 + 16*z**3 + 3*z - 3*z**4 - 16*z**3 - 10*z - 1 to the form r*z + g*z**4 + h*z**3 + t*z**2 + v and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4\/5  (b) 8\/3  (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -154*d**2 + 55*d. Let l(r) = -13*r**2 - 4*r - 2. Let n(t) = -106*t**2 - 27*t - 15. Let x(s) = 15*l(s) - 2*n(s). What is 6*v(i) + 55*x(i)?\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.037976 milligrams to grams.\nAnswer: 0.007037976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 472.5*-9.\nAnswer: -4252.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1457602127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.8?  (a) -3  (b) 8  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-1*sqrt(152) + (sqrt(152) - (sqrt(152)*2*5 - sqrt(152))))\/((sqrt(1152) + -2*sqrt(1152) - sqrt(1152))*6 + sqrt(1152)).\nAnswer: sqrt(19)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1340)\/(-335)*(-1)\/(5*-1).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 237*g - 202*g = 420. Solve 2*k = 3*m + 1 - g, -3*m = -3*k - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6659019 and 355?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*d**2 - 3*d**2 + 6*d**2)*(-346*d**3 + 100*d**3 - 123*d**3).\nAnswer: 2214*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 545713679?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17 - -19. Suppose 1769 = d*w + 7647. Is w\/5*(13 + -18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*j + 8 = 28*j. Suppose -20*q = -22*q + j. Factor 2 + 8*t + t + 3*t**2 + 4 + 0*t**q.\nAnswer: 3*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 + 6*r**2 - 1. Let k be v(-6). Let p = -0.9 + 4.9. Let u = 4.1 - p. What is the closest to u in k, 1\/6, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*s - 3*s + s)*(2 + 0 + 0) + 3*s - s - 3*s + (-1 + 0 - 1)*(-2*s + 5*s - 2*s) + 14*s - 12*s + 20*s as r + y*s and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, m: 2, z: 1, f: 1, v: 6}. Give prob of picking 1 m and 2 a.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (((-510)\/(-45))\/(-17))\/((-2)\/36) and 38.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.08 from -288369916306.9.\nAnswer: -288369916306.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 396647 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0)**10\/(n**7*n**(-12)) assuming n is positive.\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07 minus -20090574635?\nAnswer: 20090574635.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 32 (base 7) to base 16\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -8246094.2 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 117979 = 3*x, -2*u + 91456 = -5*x + 288086. Is x a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 273683.56 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 5285407 + 5016*m - 5285407 in the form s + a*m and give a.\nAnswer: 5016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/(b**(1\/6)*b*b)))**(1\/22) assuming b is positive.\nAnswer: b**(13\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bzf when three letters picked without replacement from {b: 1, a: 2, p: 1, o: 1, f: 1, z: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-15)\/f)**(1\/13)*(((f\/f**(-2\/71))\/f)\/f)**(-34) assuming f is positive.\nAnswer: f**(29362\/923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 293.\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 10*y - 13*y + 19, -2*y + 16 = 4*k. Let z be y\/7 - (-946)\/301. Solve z*j + 2 + 0 = -2*u, u - 5 = j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*x + 3)*(0 - 3 + 4) + (2 - 3 + 2)*(-x + 0*x - x) - 1301*x + 10*x + 2200*x.\nAnswer: 905*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 + 7*m**2 + 20*m - 127. Let d be i(4). Let c = -0.1 - -0.2. Let y = 22 - 17. What is the closest to c in 0, y, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-56 - (-3 - (12 - (2 + (15 - 7)))))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20576 is divided by 3422.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -315 divided by 85\nAnswer: -63\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -13  (b) -4\/3  (c) 4  (d) -60\/7  (e) 2  (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -169*m + 825 - 3698 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - -1. Suppose -t*k + 15 = 4*c, -3*c - 1 = -4*k - 6. Suppose 4*a - c*a = -2. Is a != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1060, -2152, -3236, -4312, -5380, -6440, -7492?\nAnswer: -8536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22480 and 385265612.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of -187*d**6\/30 + 101*d**3\/6 - 3*d - 8. Find the second derivative of u(h) wrt h.\nAnswer: -2244*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-72)\/96 - ((-226)\/8 - -1) and 7\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, a: 8, u: 1, v: 6, m: 1}. Give prob of sequence mfu.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6031654*z**2 - z + 704406?\nAnswer: 12063308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3 + 21720*k**2 - 21708*k - 43432.\nAnswer: -4*(k - 5429)*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 76343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 + 51 = 7*r. Let s(c) = -c**3 - c**2. Let l be s(-2). Suppose 14 = 3*d - 4*h - 33, -80 = -l*d + h. What is the highest common divisor of d and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93753058 to the power of 1\/2, to the nearest integer?\nAnswer: 9683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -0*s - v + 4, -4*v = 3*s - 16. Suppose p - 10 + 6 = s. What is the tens digit of p + (16\/4 - -64)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 0*s = 8. Let r(o) = -o**3 - 4*o**2 + 3*o + 5. Calculate r(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15413446210 rounded to the nearest 1000000?\nAnswer: -15413000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0  (b) -13  (c) -0.9  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/n**28*n\/n**18 assuming n is positive.\nAnswer: n**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -10*j**3 + 12*j - 14. Let f be l(1). Which is the closest to -1?  (a) f  (b) -0.5  (c) -1  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 35 - 20. Let j = u - 10. Suppose -2*a - 1 = d - 4*a, 5*d = -j*a + 25. Solve d = -n - 0*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 5*h**2 + 656580470*h + 21554895679271045 = 0?\nAnswer: -65658047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2400606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (9 + 1 - (-57 + 57)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 477976771 to the nearest integer?\nAnswer: 21863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 - 27 - (1 + -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4359000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 3*g**3 - 14*g - 5. Let j(m) = -m**3 + 5*m + 2. Let o(f) = -f**2 + 9*f - 7. Let y be o(10). Let w = 14 + y. Calculate w*r(l) - 8*j(l).\nAnswer: -l**3 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the third derivative of 2\/21*i**4 - 3\/70*i**5 + 0*i**3 + 0 + 74*i**2 + 1\/420*i**6 + 0*i. Let u(f) = 0. What is f?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6853 - -6782.29. Let h = 70 + y. Let o = h - -1.11. Sort 0.3, o, 1\/4 in descending order.\nAnswer: o, 0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 + 9*o - 3. Let y(v) = v**2 - 9*v + 1. Let h(l) = 3*a(l) + 2*y(l). Determine h(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6555 - 45883\/7. What is the closest to -0.24 in 4, m, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j**2 - j + 3. Let o be v(0). Let h(q) = q**2 - 2*q - 1. Let d be h(-1). Find y such that -5 - y**2 + d + 3*y**3 + 4*y**2 - o*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.307 - 1.307. Let j = 0.35 - -0.05. Let m = -0.57 + 0.17. What is the third smallest value in z, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 less than 7674.52272?\nAnswer: 7699.52272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4572.57463 minus 2?\nAnswer: -4574.57463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 368989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 30001*o + 3. Let f be r(-6). Let y be 25\/(1 - f\/(-180000)). What is y rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 346992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -494658?  (a) 5  (b) -2\/3  (c) -16  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**11*(m*m**0*m*m)\/m*(m**(2\/3)*m)\/(m\/(m\/m**(-1\/12))) assuming m is positive.\nAnswer: m**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-14)*z\/z**(-21))**(-4))**(-1) assuming z is positive.\nAnswer: z**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1483231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2\/7, 0.351 in ascending order.\nAnswer: -2\/7, 0, 0.351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 54\/55319 and -71\/497871?\nAnswer: 497871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = 5*j - 22, 2*v = -j + 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 216855 is divided by 1261?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1072 + 1122. What is the remainder when 175 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 289\/4 - 72. Sort 0.1, -13, w.\nAnswer: -13, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3279.5 in -0.5, 3\/17, -0.7?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000708 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 3*l**3 + 7 - 1 - 2*l + 2*l**2 + 5*l**2 - 5*l**3 + l**3. Let r = 10 - 3. Give u(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*c + 0*c + 3*c)*(0 - 4*c**3 + 0 + (-2*c**2 - 2 + 2)*(3*c - 2*c + 0*c)) + 3*c**4 + 12*c**4 - 5*c**4.\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r, 1 y, and 1 i when four letters picked without replacement from inrbbrryrbrk?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**2 + 5 - 3 + 1 + (-4*g - g + 4*g)*(3 - g - 3) in the form f*g**2 + a + p*g and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -61 + 38. Let d = p + 22.9. Which is smaller: d or 1.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 3*x. Let j(a) = a**2 + 24. Let t be j(x). Suppose -3*p + 21 + t = 0. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5b68 (base 14) to base 2\nAnswer: 11111001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.2 + 0.2. Suppose 0*z - 5*z = -15. Suppose 2 = n - z. Which is the closest to 0.1?  (a) 1\/9  (b) n  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 161\/30 and 37\/2360?\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 98 - 103. What is the tens digit of 69\/(-3)*(-6 - h)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*o**2 - 92*o - 106*o + 198*o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 + 21*f**2 - 44*f**2 + 0*f**3 + 15*f**2 - 15*f + 9. Let n be d(-5). Solve 5*z = -p + n, -4*p = 3*z - 19 - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5 and 350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 197\/4 - (-2)\/(-8). Let c(t) = -10*t + 2. Let p be c(2). Let m = p + z. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 392074 and 25004?\nAnswer: 104291684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3455.61846 rounded to one decimal place?\nAnswer: -3455.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -5 - 3 + 0 - k + 3*k. Let m(z) = -1. Let a(w) = -4. Let i(d) = -a(d) + 5*m(d). Calculate 6*i(v) - n(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -19453266 divided by 42?\nAnswer: -463173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3 + 517*s**2 + 51327*s - 889605.\nAnswer: (s - 15)*(s + 159)*(s + 373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 6 = -22. Suppose 5*x + 2*h = 10, h = -3*x - h + 2. Suppose -2*a + 5*w = -x, a - 2*w - 4 = -a. What is the least common multiple of a and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 54*y + 65. Suppose -5 = t + 2*m, 1 = 3*t + 14*m - 12*m. Does 12 divide v(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 64842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k - k - 3*k)*(2*k**2 + 0*k**2 - 4*k**2)*(-3*k + 3*k + 3*k).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 124*y**2 + 111*y + 19743. Let p(v) = 558*v**2 + 494*v + 88843. Let j(f) = -22*i(f) + 5*p(f). Find the first derivative of j(o) wrt o.\nAnswer: 124*o + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -494, -5, 0.1.\nAnswer: -494, -5, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.01 or 28845817?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 2 a when four letters picked without replacement from {a: 2, h: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 257 a factor of 196527807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a - 19?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1977 and 0.\nAnswer: -1977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 183367739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2448395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -28815, -28835, -28851, -28863?\n\"Answer: 2*f**2 - 26*f - 28791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/4 + 273\/(-520) and -119\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 2 - 66. Let u = -11 - c. Solve u*m = 2 + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t - 1. Let u(k) = 4*k + 6. Let p(r) = -u(r) - 6*y(r). Let c(x) = 0*x**2 - 7 - 2*x**2 + 7. What is c(p(i))?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -348977 or -349793?\nAnswer: -349793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/23, 4, 0, 2, -3.1 in increasing order.\nAnswer: -3.1, 0, 1\/23, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16126, -64484, -145054, -257818, -402758, -579856, -789094, -1030454?\nAnswer: -1303918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 - 12*a**2 - 137*a + 1687. Calculate k(14).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 82849600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10*t**3 - 3534*t**2 + 446240 with respect to t.\nAnswer: -30*t**2 - 7068*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 1401.\nAnswer: -2\/1401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 7096, 7087, 7078?\n\"Answer: -9*v + 7105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*m - 6*m - 3*m + 4*m - 2*m - 10*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25)\/6 - (20 + -24)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from euerrurefperuue. What is prob of picking 1 p and 3 u?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 779350?\nAnswer: 2, 5, 11, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -280\/11 - 64*f - 10\/11*f**2 = 0 for f.\nAnswer: -70, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 142\/7 + 2140\/(-107). Let c be (4 - 7)\/18*8. What is the nearest to c in -2, l, 4, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 4*h**2 + 1. Suppose -49*i = -44*i - 25. Let d(j) = -j**3 + 8*j**2 - 6*j + 1. Let k be d(7). Suppose k = 3*n + i. Calculate z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-17)*v**(-5)*((v**(-1\/5)*v)\/v)**(-3\/7) assuming v is positive.\nAnswer: v**(-767\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 6:25 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -3*c + 553. Let v(q) = q - 183. Determine 3*i(n) + 8*v(n).\nAnswer: -n + 195","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3890?\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71598 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - -6 - -7 - (-4 - -7 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-2*(sqrt(500) + (sqrt(500) - (sqrt(500)*4)**2) + sqrt(500)) + sqrt(500)).\nAnswer: -80000 + 250*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of 1\/6*j**3 - 1\/2*j**2 - 11*j + 1\/12*j**4 + 0. Suppose 6 = h + 4*h - 4*k, 2*h + 16 = -3*k. Give p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.21286906 + 0.5?\nAnswer: 0.71286906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of -18*q**5\/65 + 29*q**4\/26 - 22*q**3\/13 + 15*q**2\/13 - 4*q\/13 - 77. Factor m(v).\nAnswer: -2*(v - 1)**3*(9*v - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvtgggvtbggbtbgr. Give prob of picking 1 b and 1 g.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) -971  (c) -2\/9  (d) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of (-50)\/(-2)*(-2)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -254820, -510584, -766348, -1022112?\nAnswer: -1277876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 55530917 to the nearest integer?\nAnswer: 7452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/17975 and 46\/10785.\nAnswer: 53925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 - 5*a**2 + 78*a - 60. What is the least common multiple of d(-12) and 518?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -217?  (a) -0.5  (b) -3  (c) -4  (d) 1  (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8579789, -8579790, -8579791?\nAnswer: -8579792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.5 + 0. Let f = -475 + 478.03. Let b = -0.03 + f. Put b, a, -4\/7 in descending order.\nAnswer: b, a, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tzacr. Give prob of sequence rczt.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14169419, 14169420, 14169421?\nAnswer: 14169422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 - -13. Suppose -5*i - 5*c - 5 = 0, 4*i - 4 = b*c - 1. Let g be ((-4)\/(-54))\/((-26)\/39). Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7 and (-4278)\/(-24) - 6\/24.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/4))**(-38)*(c**(-1\/3)*c*c)**(-35) assuming c is positive.\nAnswer: c**(-407\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1\/2 - 0. Let z = -3821\/6 + 1910\/3. Which is the closest to -1\/4?  (a) z  (b) -2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ynyy when four letters picked without replacement from nnnynnnyynn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 90.7553 hours?\nAnswer: 326719080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9744 and 4089.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/19580 and -71\/13706.\nAnswer: 137060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(704) - (0 + sqrt(704) + 1) - (sqrt(704) + -1)*-2))**2.\nAnswer: -64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (494 + -14)\/(-40) + (-13 - 1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 200 + -201. Which is the nearest to 5?  (a) -3  (b) t  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -480601248 divided by 27616?\nAnswer: -17403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/9, -2\/9, 4\/9, -2, -81, 11693\/4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -996 (base 13) in base 6?\nAnswer: -11340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 14\/((-910)\/(-39))*(-24)\/264\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-6)\/z)\/z**4*((z*((z\/((z**(-7)\/z)\/z))\/z)\/z)\/z)\/(z\/(z*z**(-2\/21))*z))\/((z**(4\/7)*z**(-5\/4)\/z)\/((z\/(z**(-1\/2)\/z))\/z)**40) assuming z is positive.\nAnswer: z**(691\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000010010 + 10111000001111?\nAnswer: 11000000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74 = 4*r + 2*u, -5*r + 2*u - 7*u + 85 = 0. Let p be (r + 1)*12\/7. Calculate the highest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 40*m - 19. Suppose 192*h + 75 = 197*h. What are the prime factors of z(h)?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 65 - 366 + 917 + 2009 - 110*m**2 wrt m.\nAnswer: -220*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 199682, 399410, 599152, 798914, 998702, 1198522, 1398380, 1598282?\nAnswer: 1798234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3982*g**4 + 554*g - 2?\nAnswer: 47784*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, -2030, 3 in decreasing order.\nAnswer: 4, 3, 2, -2030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 196*k + 192*k + 36, 3*k - 37 = 5*z. Sort -6, 2, z.\nAnswer: -6, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4\/6)\/(-1*(-3)\/9). Let y(z) be the second derivative of -z - 1\/10*z**5 + 0 + 0*z**4 - z**i + 0*z**3. Find the first derivative of y(p) wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5 - 5)\/(2 - 1). Which is the smallest value?  (a) -91\/2  (b) -5  (c) -0.5  (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1193748*c**6 - 2*c**2 + 771*c - 18 wrt c.\nAnswer: 143249760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uddbuzzjduuuubujbbz. What is prob of sequence jbb?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 8, 18, 52, 122, 240, 418, 668?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3432799, 3432811, 3432821, 3432829, 3432835, 3432839?\n\"Answer: -j**2 + 15*j + 3432785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 25*l - 10. Let y be h(-6). Let r be ((-30)\/(-20))\/((-6)\/y). Let t be (-10)\/r*16\/(-2). Let b(p) = -p**2 - 2*p + 2. Calculate b(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**3 + 0 + 0 + (4*u - 4*u + u**2)*(-u + u + 2*u) + 2 - 2 + u**3 - 2*u**3 - 3*u**3 + 3*u**3 - u**3 + 4*u**3 + u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - 3\/6) + 1\/(-2). Let n(j) = -j + 4. Let f be n(3). Let l(h) = h + 1. Let g(i) = 2*i. Give f*g(u) + k*l(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12800*o + 521*o - 13093*o - 2*o**3.\nAnswer: -2*o**3 - 25372*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 2)*(4*y**4 + 5*y**3 - 5*y**3) + (99 - 99 + 10*y**4)*(3 - 2 + 0) - y**4 - 3*y**4 + 3*y**4.\nAnswer: 21*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -31*a**2 - 14*a + 5. Let n(c) = 15*c**2 + 7*c - 2. Let z(s) = s**2 + 9*s + 4. Let x be z(-6). Let m(b) = x*n(b) - 6*t(b). Factor m(y).\nAnswer: -2*(3*y + 1)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.204713 litres to millilitres.\nAnswer: 1204.713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.6*2.03\nAnswer: -1.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 6*y**2 - y + 27. Let a(k) = -5*k**2 - 27. Let m(t) = -3*a(t) - 2*d(t). Find the first derivative of m(x) wrt x.\nAnswer: 6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 40 = -x. Suppose -x = -8*m + 3*m. Let h be (8\/(-30))\/(m\/5). Which is smaller: h or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*y + 242602984512 - 242602984512.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of -63*d**2 + 0*d + 0 + 1\/390*d**5 + 0*d**3 - 5\/156*d**4. Factor y(c).\nAnswer: 2*c*(c - 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (26\/6)\/(9\/27). Let w(g) = g**2 - 13*g + 5. Let o be w(m). Suppose -4 = -4*b - o*p, 4*b + 5*p = b - 2. Solve -v = -b*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-1 - 0))\/(1\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence em when two letters picked without replacement from eefemmefm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 10*j**2 - 3*j - 3. Let f(v) = 11*v**2 - 2*v - 2. Suppose -8*r - 2*r + 30 = 0. Let t(p) = r*f(p) - 2*a(p). Let x(i) = -i**2. Determine x(t(n)).\nAnswer: -169*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1404 - -1403.99999269. Round r to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13 - 32?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(2\/(-40)*24\/(-30)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20 * 14.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 21 = -3*i, 2 - 4 = i + n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (7 - 8)\/(3\/12) + -183. What are the prime factors of (-2 - -1)*4 - (1 + g)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 189?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffffifffiiifiifi.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -41149 or -41205?\nAnswer: -41149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.06, -0.1, 1\/5 in decreasing order.\nAnswer: 3, 1\/5, -0.06, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/20 and (94 + 3)*2\/200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -10*x + 4. Let f(r) = 11*r - 5. Let i = 0 + 4. Let t(g) = i*v(g) + 3*f(g). Let b(n) = 13*n - 2. Calculate -6*b(c) - 11*t(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, a: 1, u: 5, n: 1}. What is prob of sequence wwa?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmxammxhmhmmaamhmmmm. What is prob of sequence xh?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-10)\/(-35) - 148\/126 and ((-2)\/8)\/(5\/(-158)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lba when three letters picked without replacement from klkkblkakkkahaakl?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0041341 rounded to 5 dps?\nAnswer: 0.00413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -100 + -6002152107.\nAnswer: -6002152207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/2, -6\/17, -4?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 0, -2\/5, -0.1, -3\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2)\/(-7) + (-138)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 2.05442 millilitres?\nAnswer: 0.00205442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 474434417.\nAnswer: 6803, 69739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 2*v + 84 = 0. Suppose 2*s + 4*p - 23 - v = 0, -s - 5*p + 37 = 0. Let h be ((-2)\/(-6)*3)\/((-9)\/(-18)). Solve h*i + s = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*j - 5*v - 490 = 35*j, -3*j - 4*v + 322 = 0. Calculate the highest common divisor of 2958 and j.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -507a7 + -4?\nAnswer: -507ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 4935540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from byyyyyrpfaaapyr. What is prob of sequence ab?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 17199, 16346, 14951, 13014, 10535, 7514?\n\"Answer: -271*r**2 - 40*r + 17510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35 - 2*f**2 - 10 - 5*f**2.\nAnswer: -7*f**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2 + 21265648*n - 63796962.\nAnswer: 2*(n - 3)*(n + 10632827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64243 is divided by 16011.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5.8 - -5. What is the second biggest value in 4, 5, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -2*w + 84. Let p = w + 40. List the prime factors of (-12 - -7)\/(p\/26).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = -4*w, -6*n = 22*w - 25*w - 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 9:33 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8.18 + 3.18. Let j = -17 - -17.1. Which is the third smallest value?  (a) w  (b) j  (c) 3  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = -412*d + 407*d - 37, 2*d + 26 = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -y**3\/4 - 3687*y**2\/2 = 0.\nAnswer: -7374, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -12*v + 24*v - 16*v - 2 + 3. Determine j(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16849?\nAnswer: 7, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 376 is divided by 70?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -2, 7.2712, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12077 + -8170. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 825 - 297. Let m = l - 2627\/5. Solve 12\/5*o**2 + m*o**3 + 4\/5*o + 1\/5*o**5 + 0 + 6\/5*o**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -21. Let i(q) = -26. Let l(n) = -4*i(n) + 5*y(n). Let f(b) = b**2 - 2*b + 5. Determine f(h) + 6*l(h).\nAnswer: h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6\/157?  (a) -0.7  (b) 2  (c) 4  (d) -3  (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -4*p - 26. Let m be n(-7). Let h be (m\/(-4))\/((-6)\/16)*-5043. Is (-8)\/6 - 2*h\/24 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 37 and 851.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 432134 + -353?\nAnswer: 431451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 343 - -31433?\nAnswer: 32331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uguuguggug?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -29 - -19. Let d = -7 - z. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 15 = 5*l, 5*z + 30 = -6*l + 2*l. Let t = 625.7 + -626. Which is the second biggest value?  (a) l  (b) -2\/7  (c) 15\/2  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 4*n**2 - 8*n + 6. Suppose r + 3*a = -a - 6, 3*r - 10 = 2*a. Let s be y(r). What is the greatest common divisor of 102 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (24\/(-15)*35\/21)\/((-1)\/3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/260 and -133\/468?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 12:03 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of 49*i**5\/5 + i**4\/2 + 109*i**2 + 155. What is the second derivative of g(r) wrt r?\nAnswer: 588*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3414 and 3.\nAnswer: -3411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*b - 71*b - 287 = 64*k - 66*k, -4*k = -2 - 62 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165392 is divided by 1451.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of 5\/2*i**4 - 23*i + 0 - i**2 - 2\/3*i**3. Does 16 divide v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7601, -6, -633, -5, 3.\nAnswer: -7601, -633, -6, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 6, -0.0006, 3\/5, 68?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 128712390.63686066 + -128712392. Let i = k + 2.13313901. Let t = i + -0.77. What is t rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 + -7. Let k be (5\/(30\/13))\/((-4)\/(-8)). Is r greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -318.3 to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8716 and 20?\nAnswer: 43580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 3853*f - 1. Let t be n(-1). Let h = 6764 - 9497. Let a = h - t. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2a9496 (base 13) to base 12\nAnswer: -426b14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*s + 19*s + 66*s = -1476 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 77 * -460.\nAnswer: -35420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 4*h**2 + 6*h - 5. Let y(k) = 3*k**2 + 7*k - 4. Let f(t) = 4*i(t) - 5*y(t). Suppose -477*d = -455*d - 242. Determine f(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + (498\/(-10) + 19)*(-7)\/(-14).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 425 and 19061.\nAnswer: 8100925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.11 + -5.11. Which is the smallest value?  (a) j  (b) 0.1  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 16130 and 1945 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -143977610 to the nearest 100000.\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (84\/70)\/((-3)\/80). Let k = -32 - o. Solve 3*i - 5*r = -k*i + 24, 3*i + 2*r - 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1756*g + 1794*g - 152 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*p - 163 = 4*g + 23, -p - 57*g - 105*g + 940 = 7904 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16 by 3.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-8 - (-12 + 9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -11.9, -0.2, 0.05, -6\/125?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -2\/13  (b) 1\/7  (c) 2\/5  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.223, -4, -2\/3, 16, -6\/7?\nAnswer: -0.223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -132007, -132011, -132027, -132061, -132119?\n\"Answer: -j**3 + 3*j - 132009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 0.13, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 121 divide 325895592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x**(-2\/5)\/x))*x*x*x**5*x)\/(x\/(x**(-3\/10)*x)*x**(2\/15)) assuming x is positive.\nAnswer: x**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/21 of a week in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - 3 - 2 - (0 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-9) + ((-78)\/(-9))\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1439029 is divided by 1042.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 4*c**3 + 3*c - 7. Let v be b(2). Let n(f) = -15 + f**2 - 19 + v - 2*f**2 - 2*f. Suppose r + 2 = -0. Give n(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*k**2\/11 + 136*k\/11 + 512\/11 = 0. What is k?\nAnswer: -64, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17 - 11. Let x be ((-610)\/(-15))\/(2\/t). Suppose 3*s = -s + 5*y + 134, 4*s + y = x. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 5)*(-r - 3*r + 2*r)*(4*r - r + 7*r)*(30*r + 10*r + 17*r).\nAnswer: 3420*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3732.2 + 3732.4. Sort 0.5, c, 2, 3, -0.11705 in increasing order.\nAnswer: -0.11705, c, 0.5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 5*j + 26. Let s be w(-13). Let f = s + 58. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86*h**3 + 10592 - 28*h**3 - 10592.\nAnswer: 58*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 14*q**2 - q + 1. What is the hundreds digit of f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f + 40. Let k be b(6). Is k >= 106\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33\/(((-7)\/((-14)\/5))\/(1670\/(-2004))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -249  (b) 0.18  (c) -4  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -2439\nAnswer: 7317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 340*h**4*y**2 + 640*h**4 - 2*h**2*y**2 + h**2*y - 4*h**2 - 55*h*y + 5*y**2 wrt h?\nAnswer: 8160*h*y**2 + 15360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3209 is divided by 531.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 277 = 5*g, -g - 2*w + 47 = -4*w. Let m(p) = -25*p + 19. Let b be m(2). Let t = b + g. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 33*d**3 - 9*d**2 - 14*d + 3. Let p(c) = -30*c**3 + 12*c**2 + 15*c - 4. What is 3*p(k) + 4*z(k)?\nAnswer: 42*k**3 - 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 126, 5, 2, -0.03?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1.8 times -0.173\nAnswer: 0.3114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, 1, -1, 4, 15213?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6388 + 13341. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/40 and 81\/136.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 20*w**2 - 3*w + 3. Let r(q) = -41*q**2 + 7*q - 7. Let n(u) = -5*m(u) - 2*r(u). Determine n(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8626 and 30609?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3197096 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(20\/(-15)))\/((-12)\/(-3))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1\/4  (b) 3\/8  (c) -18  (d) -2  (e) -1  (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (1\/25*5)\/((-3)\/(-3))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 - v**2 + 90*v - 262. Give d(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -458 + 462.06. Let v = 0.03 - -0.03. Let j = v - z. Which is the smallest value?  (a) 3  (b) -5  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*s + o - 56 + 18, -12 = 2*s + 2*o. Put s, 0, 2086 in ascending order.\nAnswer: s, 0, 2086","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) -3827  (c) -7  (d) -0.4  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4650867433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-2\/27)*m*m**15\/m*m*m assuming m is positive.\nAnswer: m**(457\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 + 10*j**2 - 11*j + 12. Let f be ((-87)\/(-15) - 4)*(-11 - -16). Calculate p(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z + 72 = 7*z. Let b be z\/(-30)*(-10)\/(-4). Suppose -4*w + 3*n = -18, 2*n - 3*n = -b*w + 11. Solve -w*j + q = -0*q - 7, 5*j = -q + 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.0001 - -4. What is o rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 3:55 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 10 - 4*b)*(33*b - 47*b - 53*b).\nAnswer: 268*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 - 2. Let c be (1299\/54 - 0)*x. Let l = c - 96. Is l at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the second derivative of -k**4\/12 + 2*k**3\/3 - 3*k**2\/2 - 19*k. Let b = -3 + 6. Let m be o(b). Solve -i + 0*i - 3 = m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 7*l - 114. Let c be t(17). Suppose q - 117 = -2*u, -109 = -c*q + 2*u + 476. Calculate the remainder when q is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/35 - (102\/14 - -1). Which is bigger: i or -9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -8  (b) 16  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 23*w**2 + 7*w. Let s(y) = -6*y**2 - 2*y. Let h = 210 + -93. Suppose -h*c = -108*c + 198. What is c*s(z) - 6*g(z)?\nAnswer: -6*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81\/((-6)\/(-14) - (-16)\/28) is divided by 63?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3493\/255 + -281\/34. What is the common denominator of 37\/399 and b?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -19 + (2 - 0) + (120 - 77 - 43)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9018 + -4823. Suppose -5*w = 920 - p. Suppose -5*t = -w - 115. Round t to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -3*q**2 - 2*q + 26. Suppose n - 2*c - 9 = 0, 36*n = 40*n + 4*c + 48. Give g(n).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 + -17 + (4 - -12).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 28*w**2 + 5. Let z(h) = h**3 + 10*h**2 - 13*h + 8. Calculate the remainder when d(2) is divided by z(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -0*x - 595. Suppose -x = -4*w + 217. Let l = w + -52. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42 + 75 - 85)*(4*d - 2*d - 3*d).\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(756)\/(-2*sqrt(12) - sqrt(12)) + -2)*4)**2.\nAnswer: 64*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 4*f**2 + 5*f - 5*f + 4*f - 15*f**3 + 0*f + 3*f. Let r(i) = i + 4*i - i + 0*i + 2*i**2 - 8*i**3. Determine 11*r(y) - 6*z(y).\nAnswer: 2*y**3 - 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 150 divide 114152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 4*w + 3*u + 12, -5 = u. Calculate the highest common factor of w and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o - 1260 = 3620. Is (-216)\/10*o\/183 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1650419 is divided by 1038?\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 112061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*y**2 + 3*y**2 + 9*y**2.\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -231*d + 1382. Let i be n(6). Put -104, -3, i, -1, -5 in decreasing order.\nAnswer: -1, -3, i, -5, -104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q + 14*q + 2*q - 47*q. Let m(n) = n**2 - 7*n + 7*n. Give m(o(g)).\nAnswer: 1089*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000849 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 - 4)\/((-9)\/24). Suppose -f - 4*f + 32 = -3*z, z = -3*f + l. Let a be (-2 - 2)\/f*-3. Solve -r - 3 = -3*d + d, -3*d = -2*r - a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.278 - 0.712. Let l = -0.334 - d. What is the closest to 0.2 in 4, -1\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 171.452 - 171.7. What is the nearest to h in -2, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-893)\/38)\/((-2)\/(-4)). Let w = 94 + -13. Let d = f + w. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 30  (b) -320401  (c) -17  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 PM and 5:20 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-26)\/65)\/(3 + 176\/(-60))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 51*m**2 + 5*m - 4. Calculate n(1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 136277786.\nAnswer: 2, 29, 449, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6207 or -22675?\nAnswer: -22675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -5*l**5 + 1820*l**4 - 135325*l**3 - 181250*l**2 + 3360180*l - 4941720 = 0.\nAnswer: -6, 2, 3, 106, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 106653969 rounded to the nearest 100000?\nAnswer: 106700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vc when two letters picked without replacement from vvjvvcct?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**6)\/(m\/(m**(2\/5)\/m)))\/((m\/m**(-6\/5))\/m**(-13)) assuming m is positive.\nAnswer: m**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 84 - 100 = -3*a, 0 = -4*a + 4*n + 236. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -164\/1455 - 2\/97. Let o = 36146 + -289725\/8. Let p = o + 70. What is the nearest to 1 in p, 2\/13, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 122288970.2 and -75.\nAnswer: 122288895.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*s + 13*s - 15*s)*(-2 + 3 - 6).\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqaaqqqqaqaqqaqqaqa. What is prob of sequence aa?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 883077509.\nAnswer: 883077509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6148\/3654 - 64\/36.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-6\/5)*v)\/((v*v*v**17)\/v))\/(v\/(v*v\/(v**(17\/4)\/v))*v*v**(-2)*v*v) assuming v is positive.\nAnswer: v**(-429\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 399 and 247.\nAnswer: 5187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -285\/7 - -41. What is the closest to 1 in b, 3\/2, 11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 81\/15 + (3 - 119\/35). Suppose 7*j - 10*j - 6 = 2*o, -o - 3 = 2*j. Solve 5*v + 20 = -d*u, -u + j*u = -v - 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -b + 434, b + 2715*u - 430 = 2710*u. Calculate the least common multiple of b and 115.\nAnswer: 10005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**3 + 32*h + 50 - 63*h + 31*h.\nAnswer: h**3 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-104)\/4*(6\/2)\/9)\/((-43168)\/(-453264))\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3644229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2344628 > 2344630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 352*i - 331*i + 63 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 + -33)*2\/4. Let m = p + 30. Suppose 4*g - 1 = m, 0 = -q - 4*g + 22. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 9*b + 168. Let t be n(-24). What is the least common multiple of 25 and (-9*4\/t)\/(12\/160)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 718187676 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4296?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**5)\/(m\/m**6))\/(m**(-3\/2)\/(m\/(m*m**(1\/6)))) assuming m is positive.\nAnswer: m**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32 and 5397408?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 4*k**3 + 3*k**2 - k - 4. What is f(2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.23 and -23.\nAnswer: -51.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -95467 - -27112663\/284. What is the common denominator of m and 15\/4?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 29216 and 3071?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-62 - 13 + 34)*(16*g + 1 - 3*g - 36*g).\nAnswer: 943*g - 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 90, 101, 118, 141, 170?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17*-15.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/57384 and -37\/144.\nAnswer: 114768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -3 - 0. Let a = w + 3. Let n be 89\/a - 5\/(-10). Calculate the greatest common divisor of 30 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 114060 + -689359\/6. Let y = -831 - d. Put -0.4, -0.3, y in descending order.\nAnswer: y, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229230 is divided by 114209.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b**(-4)\/b)\/(b*b**(-1)*b)*b**0\/(b\/b**6) assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.05 - 326445\nAnswer: -326444.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - w, -w = 2*w. Let r be 0 - ((0 - 2) + -2 + v). Suppose o + 67 = 3*x, 9*x - 3*o = r*x + 113. What is the highest common factor of x and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -4*k - 125, -3*g - 79 = -2*k + 34. Let l = 41 + g. Solve l*j - 2 = -0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*((-455)\/(-28))\/13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*j = i + 17*j - 76, 5*j = -3*i + 172. Solve 0 = -i*n + 86*n + 102 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 23*g + 5. List the prime factors of a(3).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1481087 and 1911080.\nAnswer: 59243480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-16)\/(-260))\/(4\/10). Let w = 13084 - 13087. What is the nearest to -0.1 in -7, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate i**4 - 2059928*i**2 - 21123492 with respect to i.\nAnswer: 4*i**3 - 4119856*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/3*(4\/(-84))\/((-105)\/(-1890)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 4*s**2 + s - 13. Let f be y(5). Solve 3 = 5*g - f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4505, 35680, 120253, 284924, 556393, 961360, 1526525, 2278588?\nAnswer: 3244249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -672*y + 2156 + 1204. Solve q - 21 = 4*f, -y*q - 61*f + 57*f = -9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 37*o*p*x*y**3 - 370*o*x*y - 2*p*x*y**2 + x*y**3 + 75870*y wrt o?\nAnswer: 37*p*x*y**3 - 370*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 39287993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 215.\nAnswer: 107.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**4\/17 - 1008*g**3\/17 - 123948*g**2\/17 + 45360*g - 68850 = 0.\nAnswer: -255, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3464 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: Suppose -5*o - g = -4 - 1, 0 = 3*o + 2*g + 4. What is the highest common factor of 4 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5713552 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*w - 7, -3*w = 5*n - 9. Differentiate -493 - 5*h + 546 + h - n*h with respect to h.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -39\/1000 and 13\/1600?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of -d**5\/5 + d**4\/12 - d**3\/6 + 4*d**2. Suppose -2*l + 2*u = -12, 6*u - 2*u = -20. Give m(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z + 17. Calculate a(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 40 + 7?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iip when three letters picked without replacement from {n: 2, p: 1, w: 7, i: 7, g: 1}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 25153043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + -681?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 4*n + 12 - 47, -5*n - 77 = -4*h. Let p = -10 - -78. Calculate the remainder when p is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (247*c**4 + 71*c**4 - 29*c**4)*(1 + 5 - 3).\nAnswer: 867*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.3782938 nanometers?\nAnswer: 0.0000000003782938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**4 + 3*d**4 - 5*d**4)*(0 - 1 + 0)*(-4*d + 7*d + 2*d)*(-3 + 5 - 3).\nAnswer: -20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((1*sqrt(500) - sqrt(500)) + -1 + 4)**2 - ((-1*sqrt(500) + 1)*3 + -2).\nAnswer: 7 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -78 (base 13) to base 7\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 - 22.8. Let m = -9.8 - r. What is the closest to m in -2\/13, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from {n: 1, b: 1, t: 2, c: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 8746 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -31  (b) 3\/4  (c) -0.1  (d) -21\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-2 + -2*sqrt(192))**2 - (-2*sqrt(192))**2*-1)*1 + -1.\nAnswer: 384*sqrt(3) + 9239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1684 - 5068 + 17*f + 1686 + 1689 + 36*f.\nAnswer: 53*f - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110526.\nAnswer: 2, 3, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 5*f + 220 = 0, -s + 35 + 0 = 4*f. Let z = s + -53. Let g(t) = -t**2 - 2*t - 2. Let d(k) = -k + 1. Let x(h) = 3*d(h) + g(h). What is x(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 9 = 13. What is the smallest value in 2\/7, u, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*w = -49 - 20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*t = 50*t + 32*t + 803 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 42877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 72661*j + 6248852. What is o(-86)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 498565609 to the nearest integer?\nAnswer: 22329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (12\/(-10))\/(8\/(-20)). Is (0 + -75)*i\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 68 - 63. What is the nearest to -1 in -3, -5, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes after 3:58 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1198 is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/6)\/((-45)\/12)*-9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4*x + 158 = -0*x, -313 = -4*r + 5*x. What is the smallest common multiple of r and 99?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + -1 + (1 - (169\/(-104))\/(-13)). Which is the closest to 1\/2?  (a) -0.053  (b) 1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 41723471 + 1?\nAnswer: 41723472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18813 divided by -1259.\nAnswer: 18813\/1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of l**4\/4 - l**2 + 8*l + 301. What is p(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 + g - 1. Let j be (6\/(-3))\/((-5 - -2)\/12). Let i(n) = -2*n**3 + 2*n + j*n + 0*n + 3*n**2 - 7*n. Give i(s) - 3*q(s).\nAnswer: s**3 + 3*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -40395.2 to the nearest one hundred.\nAnswer: -40400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 459 divide 7912242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91130\/(-14274) + 6 + 2\/6 and 65\/9?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -35177026 + 19623096. Let f be 7\/(-42) + 34\/(-12) - k. Suppose 4516073 + f = 9*y. Round y to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 168023735 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-three eighths of a millimeter in micrometers?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*k**2 + 0*k**2 + k**2 - 2*k**2 - 3*k**3.\nAnswer: -3*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 65137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-2)*(-16107)\/(-767)*(-8)\/(-12)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1061*y + 18517 = 1746*y - 46044 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 80 = -7*m. Let j be -5*m\/12*(-12)\/(-40). Factor 6\/7*k + 6\/7*k**3 + 4\/7 - 16\/7*k**j.\nAnswer: 2*(k - 2)*(k - 1)*(3*k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*u*w**3 + 18190*u*w**2 + 2190*w**3 wrt w?\nAnswer: 12*u + 13140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, y: 4, e: 3, k: 1, d: 2, a: 3}. What is prob of picking 2 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -16?  (a) 2  (b) -0.3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 236865053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 311, 0.4 in increasing order.\nAnswer: 0.4, 7, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*o + 6 - 6 + (1 - 6 + 4)*(-2*o - 1 + 1) + (-139 + 3*o + 72 + 53)*(1 - 3 - 1) to v*o + h and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -46 + 45.3. Which is greater: 8\/7 or s?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z + 2 - 2)*(14433 + 5044 + 3346).\nAnswer: 22823*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4111451719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - 9153?\nAnswer: -9151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -2*n + 7*n - 11, 4*n - 17 = -5*v. Let b(d) = 1. Let x(g) be the third derivative of g**4\/8 + 4*g**3\/3 - g**2. What is v*x(j) - 6*b(j)?\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -74*x**3 + 3265*x**2 - 408*x + 557. What is r(44)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 t, 1 p, and 1 o when four letters picked without replacement from wpwvvowzwvto.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 196*p**2 + 34*p - 197. Is d(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-18) + (11130\/27 - -2). Suppose 6*b + g = 15*b. Suppose 4*u - 4*p = -u + b, 2*u = -3*p. What is the lowest common multiple of 42 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 3*u + 3*z, u - 8 = 3*z - 0*z. Let m be (-2 - -3)*1 + u. Suppose 0 = -2*r - 3 + m. Solve r*s = 4*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 57 - 54. What is the first derivative of -4*m**3 + 6*m**v - 9*m - 4*m**3 + 4*m**3 - 28 wrt m?\nAnswer: 6*m**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 191904 and 23924032.\nAnswer: 71772096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = 8, -d + t = -2*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 5*p + 5 + 15, p = 4*x + 4. Let b(v) = -v**2 - 30. Let t be b(x). Is 5 a factor of (t\/12)\/((-2)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 + f**2 - 2*f - 1. Let h(s) = -249*s**3 + 6*s**2 - 10*s - 5. What is -h(i) + 5*n(i)?\nAnswer: 254*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 4*v = 40, 5*r + 4*v = 59 - 23 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5}. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 82 - 79. Suppose 0 = i - 3, -q*x + 42 = -i. List the prime factors of (-6)\/(-15) + (-3)\/(x\/(-943)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + 4*w, 2*w + 24 = -5*t + t. Let k be (-111)\/(-24) - 3\/t. Suppose 3*z - 2*h - 34 = 0, k*z = -4*h + 45 + 19. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cch when three letters picked without replacement from cccchccc.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 156 in 0, -2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-45)\/(-5) + (0 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = -122*k + 126*k - 22, 2*k + 2*o - 8 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2986 + 2984. Let j = -1\/33 - -23\/33. Let s be ((-6)\/16)\/((-1)\/4). What is the nearest to 2 in s, p, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**3 - 4*q**3 + 2*q**3)*(0*q - 2*q + 0*q) - 26*q**4 - 31*q**4 + 2*q**4 - 8*q**4 + 11*q**4 - 8*q**4.\nAnswer: -64*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {k: 3, o: 12, j: 1}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5b35 (base 12) to base 9.\nAnswer: 15065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2965128 is divided by 33316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 13) in base 2?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - 2*j + 4*r + 28, -3*r = 2*j + 4. Determine b so that -2 + 6 + 0*b + b**4 - 2*b**3 - 3*b**2 + 0*b**3 + j*b = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -251 + 254. Sort -2, d, -182 in ascending order.\nAnswer: -182, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -433070, -866141, -1299212, -1732283, -2165354?\n\"Answer: -433071*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -23 greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 41.4827 + -0.0427. What is c rounded to zero decimal places?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n**3\/5 + 96*n**2\/5 - 399*n\/5 - 6498\/5 = 0. What is n?\nAnswer: -6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3324428.\nAnswer: 2, 103, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 331 = -5*t + 385, 0 = -4*l - 2*t + 1416. What is the remainder when l is divided by 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 167169689.\nAnswer: 1049, 159361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15941*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5199566.\nAnswer: 2, 2599783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77 - 2*t - 6*t + 9*t.\nAnswer: t - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/((-4)\/(-6)) + 276\/(-8) and -46\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j\/(j\/(j*j\/(j*j**(-1\/4)))*j))*j*j**(-1\/6))**(2\/15) assuming j is positive.\nAnswer: j**(7\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -7*(2 + 6\/(-2)). Suppose 0 = -q*k + 6*k + 31. Let x = k - 3. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the second derivative of -175*k**3\/3 - 136*k**2 + k - 52. What is the first derivative of u(q) wrt q?\nAnswer: -350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 789.7416t in micrograms?\nAnswer: 789741600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 3*u - 138, -n - 3*u = u - 44. What is the least common multiple of 4 and (n\/(-14))\/((-12)\/56)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3982536 less than 0.0553332?\nAnswer: -3982535.9446668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the third derivative of -h**4\/4 + h**3 + 7*h**2. Let f be t(3). What is the remainder when 23 is divided by (-710)\/(-60) - 2\/f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -66.1 + 69. Let b = -2.1 - t. Is b bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -56, -4, -24, 0.02, 4, 3 in descending order.\nAnswer: 4, 3, 0.02, -1, -4, -24, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 - 146*h**2 + 3*h - 651. Give v(146).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.7 - -5. Let m = -0.078 + -0.422. What is the biggest value in s, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 226*472\nAnswer: 106672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m, -70 = 5*p + 4*m + m. Let q = -44 + 37. Let x = q - p. What is the smallest common multiple of x and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -97?  (a) 2\/7  (b) -4  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1468 is divided by 124.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 87002, 87020, 87038, 87056?\nAnswer: 87074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b**4 + 0*b + 0*b - 2*b)*(5*b - 2*b - 4*b).\nAnswer: 3*b**5 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 + b - 1. Let k be h(-2). Let s = 11 + k. Solve s = -3*g - g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {i: 4, h: 3, q: 1, a: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 13 = 3*a, 5*b + 4*a = 4 + 11. Is 0.5 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 652678056 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -73, 0.3, -1\/7, -0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14754643987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - -526141577?\nAnswer: 526141577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.98 + 1.28. Let n be (-1)\/3 - (-8)\/6. What is the closest to 0.1 in 3\/4, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3170 (base 8) in base 3?\nAnswer: 2021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 598, 585, 562, 529?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*a**2 + a**2 - 34*a**2 + 17*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(17) + 2 + sqrt(1377) + 4 + sqrt(17)*3 + sqrt(17))**2.\nAnswer: 56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17*f**3*s**3*v + 2*f**3*s**2 + 13*f**3 - 3*f**2*s**2*v + 2*s**3 wrt s?\nAnswer: -102*f**3*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -54\/25 >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2359\/12 + 517\/3. Find the common denominator of (-276)\/(-2208)*(-100)\/(-3) and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3753456*0.5\nAnswer: -1876728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of -j**3\/6 + j**2\/2 - 9*j - 99. Let a(z) be the first derivative of m(z). Let x(v) = -28*v + 21. Calculate -21*a(d) + x(d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from llnnnlbnlvnnlnnannl.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from deeddddddereeedddder. What is prob of picking 1 d and 1 r?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of 21*z**5\/5 - 183*z**4\/4 - 18*z**3 + 1134*z**2 + 648*z + 16. What is d in m(d) = 0?\nAnswer: -3, -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 2386*t - 20. Let f be 1\/(-2)*-12 + 4. Let m be j(f). Round m to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 2*o**2\/7 - 32160*o\/7 - 20708000\/7 = 0.\nAnswer: -620, 16700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 29824 times -5713?\nAnswer: -170384512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1240434.2494494 - 4.\nAnswer: -1240438.2494494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1124022 (base 5) in base 14?\nAnswer: 7692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 1, -13597403?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64089 is divided by 114.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 5*k + 5. Let c be h(6). Suppose -2*i + c = 2*v + v, -4*i = 2*v - 10. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -21*z - 27. Let i(q) = -3*q - 4. Let r(g) = 4*d(g) - 27*i(g). Let s(v) = v**2 + v + 2. Let o(h) = -3*h - 6. Let w(n) = -o(n) - 3*s(n). Give r(w(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-169)\/(-13))\/208*-12.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 AM and 2:45 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5522 - -1111?\nAnswer: -4411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z**2 - 3*z - 6. Let s be ((-114)\/(-30) + -3)\/(2\/10). Calculate the remainder when a(s) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1446, -5, -4\/5 in increasing order.\nAnswer: -1446, -5, -1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + 0 + 2)\/1. Suppose -8 = -4*p - 2*y + 5*y, 2*p - 4 = o*y. Suppose 207 = p*c + 7*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*v - 5*v + 40*v)*(-3 + 6 - 1)*(-5 + 7 - 1)*(-10*v - 15 + 15).\nAnswer: -360*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-2))\/(11*140\/18040) + 8\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43863 is divided by 2737.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/(-8) - (-50 + 5). Calculate the highest common divisor of r and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-18)*4)\/((-4)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 14) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 333*i**2 + 1622*i - 3308708 with respect to i.\nAnswer: 666*i + 1622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 PM and 5:47 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + h - 2*h + 0 + 85*h + 66*h - 11*h - 2*h + h - h + 3 - 3 - 2*h + (2 - 2*h - 2)*(3 - 4 - 1) + 4*h + h - 3*h.\nAnswer: 141*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -m*z**2 - 2*m*z + 1697*m + 236*z**2 - 2 wrt z?\nAnswer: -2*m + 472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24528863.\nAnswer: 631, 38873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37544 is divided by 9361?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -12, -1, -0.1, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 403 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -2*a + 6522*s - 6525*s, -1 = 2*a - s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 21854 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/24 + (1\/(-14))\/((-660)\/111650). Suppose 0*p = -2*p + 360. Calculate the greatest common divisor of j and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89510467 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 244 - 154. Suppose 3*f - 6*f = -l. Find the third derivative of -f*b**6 + 16*b**2 - 255 + 255 wrt b.\nAnswer: -3600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 15, -3, -7, -5 in increasing order.\nAnswer: -7, -5, -3, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*k**4*x**3 - 4857723*k**4 + 3185*k*x**3 + 16*k*x**2 - 155*x**3 wrt k.\nAnswer: -24*k**2*x**3 - 58292676*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 12 = -68. Let r be (-44)\/10 + j\/(-35). Let w = -2 - r. Solve w*s - k = -0*k + 6, 2*k + 5 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/3)\/(-15 - -13). Suppose -5*o - 10 = -2*o + v, -o + 2 = -v. Which is the closest to o?  (a) -1\/4  (b) -8  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 22  (b) -5  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of 0 + 0*a**2 - 1\/3*a**4 + 16*a - 2\/3*a**3. Factor h(x).\nAnswer: -4*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14276.\nAnswer: 2, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 0 + 0)*(-22 + 81 + 26)*(2 - 1 - 4)*(-2 - 2 + 1).\nAnswer: -1530*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 531431976?\nAnswer: 2, 3, 19, 1165421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 35562.1 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of l**6 - 78951*l**4 - 157*l**2 - 1274*l + 1 wrt l.\nAnswer: 120*l**3 - 1894824*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 + 0.13. Which is smaller: z or 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 87 - 2287?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 38 - 38. Suppose -5*v + 419 = -2*l, f*v - 337 = -4*v + l. Suppose -2*d + 118 = -j, 3*d = 3*j + v + 92. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m**2 + 2*m**2 - 2*m**2 + (-2*m + 3 - 3)*(2*m - 2*m + m) + 4*m**2 + m**2 - 3*m**2 + (-155*m + 130*m + 80*m)*(-3*m + 4*m + 0*m).\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 138 and -1067740.\nAnswer: -147348120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 65123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50)*2 + sqrt(1250) - (2*sqrt(288) + -2 - 5*1*sqrt(288)))*-6 + -3.\nAnswer: -426*sqrt(2) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 + 9*l - 7. Let i be j(6). Let m(q) = -q**2 - 31*q - 196. Let n be m(-22). What is the first derivative of 4 + n + 18*s - i wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of 281*a - 25\/2*a**2 + 0 + 1\/3*a**3. What is h(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-6) + (-7)\/(-3). Suppose -s - 2 = p, -4*h - 4*s = -8. Suppose -l + 27 + h = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of d**4\/24 - 2*d**2. Let w(m) = 1 - m + 2 + 0 + 4*m. Let v(s) = s + 2. Let f(g) = 6*v(g) - 4*w(g). Determine f(j(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -4*v - 6. Let r be i(-4). Suppose 3*z - 5*z + r = 0. Sort 0, z, -4 in decreasing order.\nAnswer: z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0018328 rounded to 5 decimal places?\nAnswer: 0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5409602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1595, -1593, -1591, -1589?\nAnswer: -1587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/11, 572\/15, -2\/5, 2\/23?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/144564 and -169\/294.\nAnswer: 1011948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -60*r - 3058*r**2 + 3051*r**2 + 299*r in the form j + f*r**2 + o*r and give o.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 6 = 18. Suppose -10 = -q*x - 2, x = 2*f - 154. What is the third derivative of -3*s**2 + 4*s**2 + 83*s**6 - f*s**6 wrt s?\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-16 - -22)*(0 + 452\/(-8)). Let y = z - -343. Factor 2\/3*q**3 - 16\/3 + 8*q - y*q**2.\nAnswer: 2*(q - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -7*z - 1. Let x(j) = -15*j - 1. Let t(q) = 13*f(q) - 6*x(q). Let o be t(-6). Let l = -1\/4 - -1\/2. Which is smaller: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99630 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 535*t - 3619. Let w be r(7). Which is smaller: w or 755\/6?\nAnswer: 755\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of -a**6\/57 - 14*a**5\/95 + 14*a**4\/19 - 40*a**3\/57 + 1721. Suppose u(n) = 0. Calculate n.\nAnswer: -10, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 242791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/575972 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 AM and 4:28 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 54022*h**4 - 3889*h**2 - 2 wrt h?\nAnswer: 1296528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 4*q - 0*s, 2*q = -3*s + 4. Calculate the remainder when -37*(-4 + 5)\/q is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11239\/150 - 688\/75. Let f = m - -84. Which is the closest to f?  (a) 1  (b) -3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 106972 and 37412.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -12*h + 56. Solve -a - h*l + 1 = -l, 3*a - 5*l = 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26259 + -26258.6. Sort -67, x, -75 in ascending order.\nAnswer: -75, -67, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 227770593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 4*z - 13. Let f(x) = 14*x - 40. Let d(h) = -3*f(h) + 10*r(h). Calculate d(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 less than 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 155771723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 8*h**2 - 2*h - 24. Let p be l(6). Suppose p = -4*m + 11*m. Calculate the highest common factor of 396 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f + 9. Let y(h) = 3*h - 18. Let b(q) = 5*v(q) + 3*y(q). Let i be b(-12). Let t = -6 - -8. Solve 0 = -t*k, -i*k = 2*r - k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*q = 3*g - 28, -g + 5*q + 2 = 0. Suppose 3*c - 1962 = -3*m, -16*c + g*c + 654 = m. What are the prime factors of m?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 13, 2, 2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3453 - -3263.9. Let d = 152 + i. What is d rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 2*w = 126. Let k = w - 12. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -1934?\nAnswer: -3\/1934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 1484*c + 10404. Calculate y(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4345, -4736, -5141, -5566, -6017?\nAnswer: -6500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10\/629 in -4, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 3 + (sqrt(396) - (0 + sqrt(396))))**2*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = -3*q - 1 + 24, -q = 2*j - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 + 3 + 14)*(-2 + 1 - 1) - 2 + 4 - 1)*(3*v + v + 0*v).\nAnswer: -164*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 6 = 3*i, -515*v + 10 = -520*v + 5*i. Solve u = r + 4, v = 4*r + 3*u - 228 + 216 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 216773?\nAnswer: 239, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**2 + 0*n + 0*n)*(-2 + 1 + 3 + (-2 - 1 + 2)*(1 - 6 + 4) - 1 - 3 + 6 + 4 - 2 - 3 + (3 - 2 + 3)*(1 + 1 - 1)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*q + 44 - 93 + 45.\nAnswer: -23*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 188352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1729 and 9443?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(1008) + -2*sqrt(1008) + -3 - sqrt(84)\/((3*sqrt(96))\/sqrt(8))).\nAnswer: 3 + 37*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.7357209 + 1.068.\nAnswer: 2.8037209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 27424.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*m + 6 = -122 - 249 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 441 a factor of 31088119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2106511281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 6139 + 5*l - 3663 - 7783 as o + m*l and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7982939 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2534?\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-38)\/9 + 2\/9. Let d = 0 - m. Let u(p) = -2*p - 1. Calculate u(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-2) + (-978)\/4368. Let w = 282783\/728 + k. Let p = w + -22377\/56. What is the common denominator of p and 85\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1542 a factor of 173897508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 5.6, 1, 3, -3, -0.3, -3\/83, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -41  (b) 3  (c) 1\/3  (d) 6  (e) -16.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.357 + -0.3571148. What is i rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6656\/(-192))\/((-24)\/9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -15150 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(847) + 3 - (sqrt(175)*-3)**2.\nAnswer: -1572 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, q: 2}. What is prob of sequence qc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**2 - 40*a + 696. Let r be m(13). Solve -10 = r*b + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -6*k**2 + 1712*k - 17131. Determine u(10).\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/1393 and 19\/215915.\nAnswer: 215915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8441 and 2936.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.18 + -0.82. Which is the second biggest value?  (a) 0.5  (b) k  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - -525b0?\nAnswer: 525b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 6*w. Let o(z) = -z**2 + 8*z + 10. Let y be o(9). Suppose -72 = -0*b - 4*b. Calculate the smallest common multiple of b and a(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + 81e8246?\nAnswer: 81e8241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 27612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y**3 + y**2 + 3*y. Let o(g) = 4384*g**2 - 1459*g**2 - 1 - 2*g - 1462*g**2 + 2*g**3 - 1465*g**2. Determine -3*o(h) - 2*z(h).\nAnswer: -2*h**3 + 4*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2430 (base 11) in base 6?\nAnswer: -22415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2044 - 1877.6. Let y = s - 166. Which is the third smallest value?  (a) 1\/5  (b) 0.03  (c) y  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, e: 7}. What is prob of sequence oo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -13*y**2 + 364*y + 4. Let r(q) = 12*q**2 - 273*q - 3. Let d(t) = -3*k(t) - 4*r(t). Let z(c) be the first derivative of c**2 + 1. Give z(d(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 92*z**2 - 115*z + 1401. Is 35 a factor of l(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-4\/29)\/b**(9\/8) assuming b is positive.\nAnswer: b**(-293\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5445 is divided by 902?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 18*r**2 + 2*r + 1. List the prime factors of x(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-8\/5)*i*i)\/i**20)\/(i**(1\/31)*(i\/i**1)\/i))**(-1\/35) assuming i is positive.\nAnswer: i**(2888\/5425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g = -21*g + 290. Suppose -y = -34 - 58. Suppose g*u - y = 28*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: Let s = -14801\/84 - -1213\/7. Suppose 4*n = -0*n - 8. What is the common denominator of s and (9\/(-45))\/(n\/51)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.658806 millennia to decades.\nAnswer: 565.8806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -214*o = -230*o + 80 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 12:47 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-6\/17))**47 assuming j is positive.\nAnswer: j**(1081\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n - 7 = 9*n - s, 5*n = -4*s + 1. Let r(f) = -f - 6. What is r(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nynxygj. What is prob of picking 1 y, 1 j, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.276808+-262\nAnswer: -261.723192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3\/2 + 1\/4. Suppose 3*x = 7*x. Let g be x\/(3*(-2)\/(-6)). Are p and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 25*d + 8. Let c(r) = 1. Let m(o) = 5*c(o) + n(o). Let p be m(6). Suppose 0 = -2*h + 3*g + 101, 2*g - p - 80 = -5*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -5*h**3 - 3*h**2 - h + 2. Let g(t) = 2*t + 26*t**3 - 237 + 15*t**2 + 226 + 4*t. Calculate -2*g(x) - 11*n(x).\nAnswer: 3*x**3 + 3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 4*t - 21 = -3*d, 4*t - 22 = -5*d. Let g(a) = -2 + 51*a**d - 52*a**2 + 2. Let b(c) = c. What is g(b(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 - 2 + 4 - 4 + 1)*(-2160*s - 1745 + 1743 + 145*s) to v*s + y and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -21220 (base 4) to base 2\nAnswer: -1001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -440030 by -5570.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 9:27 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 minus -0.456?\nAnswer: -5.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or 0.12022?\nAnswer: 0.12022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 974, 954, 928, 896?\n\"Answer: -3*m**2 - 11*m + 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = 7 - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 (base 11) in base 5?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 46758 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 46753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 148, 6, 5, -538, -4, -3 in decreasing order.\nAnswer: 148, 6, 5, -3, -4, -538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49192903.\nAnswer: 29, 43, 103, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.2 - 0.021. Let g = 1.221 + a. Sort 9, -2, g.\nAnswer: -2, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (56 + 14 - 12)*(-u - 3*u + 2*u).\nAnswer: -116*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 2*t + 4 = 0, -3*v - 466*t - 44 = -470*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -37024, -1 in increasing order.\nAnswer: -37024, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mcn when three letters picked without replacement from {n: 1, g: 6, m: 1, c: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 + -19 - (0 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 2*c - 3*w, -67*w + 14 = 5*c - 66*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 141 - 98. Calculate the remainder when y is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -24*b**4 + 30*b. Let y(p) = 16*p**4 - 20*p. Let r(m) = 5*n(m) + 8*y(m). Find the second derivative of r(f) wrt f.\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -23491*o. Let t(f) = -4*f - 5. Determine r(t(g)).\nAnswer: 93964*g + 117455","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 4*a**3 + a**2 + a + 1. Give t(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*d + 32 = -17 + 4. Let x(n) = -n**3 - 4*n**2 + 6*n + 3. Let z be x(-5). Sort z, 7, d, -6.\nAnswer: -6, z, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 10*p - 9. Let h be q(4). Let y(z) = -6*z**3 - z**3 - 2*z + 1 - h*z**2 + 33*z**2. Let b(t) = -t**2 - 3*t - 1. Let r be b(-1). Determine y(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 2 and -84919642881.\nAnswer: -84919642879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1320 + -1318. Let b(h) = 46*h**2 - 8*h**2 - 36*h**j. Let s(a) = -29*a + 4*a - 13*a. What is b(s(n))?\nAnswer: 2888*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-two fifths of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25\/6, -1, -4, 2, -7, -16.\nAnswer: -16, -7, -4, -1, 2, 25\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - ((-25)\/(-50))\/(3\/(-18)))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 20\/(-8 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 543, 2213, 4997, 8895, 13907?\nAnswer: 20033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (17 - 11*p - 17)*(32 + 26 - 27) + (-2*p + 1 - 1)*(0 + 2 + 0) + 2*p + 0 + 0 + 2*p - 6*p + 3*p in the form n + b*p and give b.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - sqrt(396))*-2 - (sqrt(132)*1)\/sqrt(12).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2891*s + 765*s = 572*s + 56658 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h + h - 4*h)*(1 + 0 - 3) - 4*h - 3*h + 4*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2049?\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -791*u + 22738 - 8596 + 11170 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 142636 (base 8) in base 2?\nAnswer: 1100010110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 263135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 113425 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-30)\/((-90)\/7))\/(3\/9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 4 - 12. Let l be 504\/270 - r\/(-15). Find g such that -g**4 + 10 - 9 + 2*g**4 - l*g**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 h, and 1 y when three letters picked without replacement from {s: 1, t: 1, u: 7, y: 3, h: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -79, -70, -57, -40, -19, 6?\n\"Answer: 2*i**2 + 3*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5749*z + 5799 with respect to z.\nAnswer: -5749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.14, -2\/13, 21?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1639 - 1356 - 1730 = 189*g for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/10, 3, -29, 2\/9?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1134, -22, 4 in ascending order.\nAnswer: -1134, -22, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + 1244935?\nAnswer: 1244934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 9 = -f - f, c = -5*f + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 72136037 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41.391*-0.4.\nAnswer: -16.5564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/6 - (-266)\/(-114).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/2 - 9\/(-6). Let u(k) be the first derivative of 2 + m*k - 1\/3*k**3 + 0*k**2 - 2\/5*k**5 + 0*k**4. What is the third derivative of u(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 422 = -2*y. Let z be (-10)\/15*111*-2. Let t = y - z. Calculate the greatest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 671, 1337, 2003, 2669, 3335?\nAnswer: 4001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 78, 81, 84, 87, 90, 93?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1134*d - 2410 + 2410 + (2 + 1 - 1)*(-5*d + 0*d - 2*d).\nAnswer: -1148*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 68993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -31*s**2 - 3*s + 89. Let t(i) = -9*i**2 - i + 30. Let z(q) = 2*c(q) - 7*t(q). Determine z(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 81.5 + -82. Which is the smallest value?  (a) t  (b) -3  (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6*15\/270)\/((-5)\/(-6)). Factor v*x**3 + 0 + 14\/15*x**5 + 0*x - 8\/5*x**4 + 4\/15*x**2.\nAnswer: 2*x**2*(x - 1)**2*(7*x + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 399 a factor of 14364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1117972549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4934 is divided by 127.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -2322*g + 1. Let p be m(3). Let a(t) = -20760*t**2 - 343*t + 691. Let o be a(2). Let w = p + o. Round w to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5\/6, -205, 0.49?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -212593\/112 - -30375\/16. Let f = -0.4 - 1.6. Let c = 1 - 0. What is the closest to u in -3, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*f**4*q + f**3*q**3 - f*q**3 - 65*f*q**2 - f wrt f?\nAnswer: 24*f**2*q + 6*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 382748 and 468.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2751 - -2*(33\/(-66))\/((-1)\/4). Calculate the greatest common factor of o and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, -2, 2\/243, -0.2, 4, -0.1, -64?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((12\/(-6))\/2)\/(1\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1300) + 0 + sqrt(1300))*4 + ((1 + sqrt(1573) - sqrt(1573))*-5 - sqrt(1573))**2.\nAnswer: 190*sqrt(13) + 1598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 + y**2 - 5*y - 4. Let w be g(3). Let l = -17 + w. Is (12*1 - l)\/((-6)\/(-12)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7*a*j**3 + 77*a*j - 104*j**3 wrt a?\nAnswer: -7*j**3 + 77*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(13) + -1 + sqrt(13) + ((sqrt(13) - sqrt(26)\/sqrt(2)) + -2)**2.\nAnswer: 7 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -546 = -3*y - 3*c, -5*y = -5*c - 318 - 612. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/(-5))\/4*5\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-16)\/20 - 24\/(-5). Suppose -q*b = 0, 0 = 3*x - 0*b - 2*b - 48. Let h = 7 + x. What is the remainder when 65 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40 divided by -19312\nAnswer: 5\/2414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 1.4  (b) -1\/3  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 8*j - 35. Let d(n) = -8*n**2 + 4*n - 8. Let m(c) = -9*c**2 - 2 + 0 - 7 + 5*c. What is j*d(w) - 6*m(w)?\nAnswer: -2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -3*y**2 - 19*y - 5. Let z(h) = -7*h**2 - 41*h - 12. Give -9*s(p) + 4*z(p).\nAnswer: -p**2 + 7*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z + 8. Let u be a(-7). Let d be -2*(0 - u\/2). Let j(y) = -y - 1. Let q(b) = -3*b. Give d*j(s) - q(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -5*u + 24. Let x(o) = o - 6. Let l(s) = -4*f(s) - 18*x(s). Let v be l(-4). Let g = 2 + -1. Solve v*c - 3*c = g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 8:12 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 3. Suppose -r*m - 2*m + 612 = 0. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -227*-0.5\nAnswer: 113.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 + 10*d**2 + 3*d + 11. Let q be o(-9). Suppose -q + 405 = 4*m. What is the greatest common factor of m and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*n - 23 - 193 = 14*n. Solve 5*l - n = 5*z + 7*l, -4 = 2*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16172 + -16190. What is the second biggest value in -5, 4, m, 0.46?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 2*t + 7, 5*t = 5*u + 2*t - 12. Let s = u + 0. Suppose 0 - s = -3*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1824 divided by 547.\nAnswer: 1824\/547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 24184821360 to the nearest one million.\nAnswer: 24185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -3*m + 3. Let u(q) = q - 1. Let w be -2*((-6)\/2)\/(-6). Calculate w*h(z) - 4*u(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30 + 230*j**2 - 114*j**2 + 0*j - 117*j**2 + 0*j.\nAnswer: -j**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 585563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4 or 4173\/1036?\nAnswer: 4173\/1036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69071*a - 91770 = 69052*a. Is 35 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -27.28 - 359.98. What is b rounded to the nearest integer?\nAnswer: -387","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 381 greater than or equal to -149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 86257683 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -0.414, 9, -11921 in descending order.\nAnswer: 9, 0.1, -0.414, -11921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/(d\/(d*d*(d**(-4\/7)\/d)\/d*d)))*d\/((d\/d**(-8)*d)\/d*d*d))\/(d**(-6\/7)*d**(-6\/7)\/d) assuming d is positive.\nAnswer: d**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.2, 0.2, -3\/4 in descending order.\nAnswer: 1.2, 0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -236  (b) 5  (c) 241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122541619?\nAnswer: 61, 2008879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -44276\/287509 - -12\/2687. Is -1 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2743.9446 months to years.\nAnswer: 228.66205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g - 2. Let m(a) = -2*a + 6. Let u(q) = 3*m(q) + 8*o(q). Let z(n) = -3*n - 4. Determine -5*u(s) - 3*z(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -22671*c + 67798. What is a(3)?\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 11, 5, -15, -55, -121?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 4*x = -185, -3*x - 280 = -4*r - 0*x. Let t be (-2470)\/76 + 3\/2. Let k = t + r. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hohhhhoohoohohoooooh. Give prob of picking 2 o.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 PM and 11:29 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 168710632159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26031 - 26031.00014611. Round k to 6 decimal places.\nAnswer: -0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -93 - -97. Suppose 3*t - t - 26 = -4*n, 0 = -2*t + 3*n - 9. What is the remainder when o is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-22*108\/5346)\/((-68)\/(-3))\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 + k**2 + k - 1. Let u(g) = 5*g**3 - 4*g**2 - 5*g + 5. Let b(f) = -4*s(f) - u(f). Let z(w) = -16*w**3 + 18*w - 18. Give 36*b(a) - 2*z(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - 3. Suppose 2*d = m*u - 11 - 0, -23 = d - 5*u. Let v(k) = -7*k**2 - 6 - 6*k + 4*k**2 + 2*k**d. Calculate v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 70.05897 kilograms to grams.\nAnswer: 70058.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2015505 a multiple of 1173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qzzrzzzzrztq. What is prob of sequence zqzz?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-14) - 40\/(-70). Solve s + 2 = x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -19*b**2*l - 21*b**2 - 4*b*l - 39*b - 196274227*l wrt b.\nAnswer: -38*b*l - 42*b - 4*l - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 774478\/2043 + 560\/227. Let i = r + -380. Calculate the common denominator of i and (-11)\/5*(-1)\/2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 509 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 12:16 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 12 + 2)*(17*g**2 + 4*g - 17*g**2 - 13*g**3).\nAnswer: 91*g**3 - 28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 6 + 13 + -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -18878435 greater than -18878435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Express -2*r - 2353 + 2353 - 530*r**2 as l + z*r**2 + k*r and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -18*m - 10. Let k be t(-4). Suppose -k = 6*j - 14. Is 1 - ((-4)\/(-16) + 290\/j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -751, -6929, -23695, -56341, -110159, -190441, -302479?\nAnswer: -451565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*n**4 + 6*n**3 - 132*n**2 - 54*n + 945 = 0. What is n?\nAnswer: -7, -3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-5\/8)*v\/(v**(-2\/51)*v)*v\/v**(-5\/2)*v**7\/v assuming v is positive.\nAnswer: v**(3637\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/7, 0.1, -31, 11?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 33\/4 - 4 - 4. Factor c + 1\/2*b + 1\/4*b**2.\nAnswer: (b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -215 = 12*n - 287. Let m(w) = 3 + 3 + 0*w + w - 3. List the prime factors of m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 264162240 divided by -148\nAnswer: -1784880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10 + -12510)*15*-6. Round h to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**6)**(-2\/3)*f**(-1)\/f*f**(-20)*f)**41 assuming f is positive.\nAnswer: f**(-1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = 3*h - 1, 3*h - 78729*o + 37 = 4*h - 78736*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*j + 66*j + 32*j)*(j**2 - 2*j + 2*j).\nAnswer: 82*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 150\/3150 - 23\/(-399). Is 17 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 + -84?\nAnswer: -7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1359 - 883. List the prime factors of x.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 2:17 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 136*z + 8. Is a(2) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000007185983619 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-24))\/1*-12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 - -1) + (-2)\/1. Let t be (-1005)\/(-2)*4\/b. What is t rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -21, -15304, -1 in decreasing order.\nAnswer: -1, -4, -21, -15304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -19*h**3 - 66*h**2 - 155*h + 112. Give w(-3).\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -3.8+-0.9557232682\nAnswer: -4.7557232682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1916 in 0.3, -2, 51\/16?\nAnswer: 51\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 69 - 132?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1265.57 times 277\nAnswer: 350562.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-22)*(-68)\/(-51).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58119.\nAnswer: 3, 19373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-4)\/o)\/o**(-1\/11))**(-9\/5)\/(o**(-3\/10)*o**(-14))**23 assuming o is positive.\nAnswer: o**(36953\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -673 - -677. Suppose 4*l = -5*z + 32, 16*z - 12*z - 40 = v*l. Solve 16 = -4*y - m + 4*m, 2*m = z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8584?  (a) -3  (b) 0.1769  (c) 4  (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 411948823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 + c**2 - c + 294. What is the hundreds digit of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c - 8. Let m(v) = 3*v - 24. Let u(q) = 3*m(q) - 8*y(q). Let d be u(6). What is the second biggest value in 3, d, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2128*n + 2128*n + 13*n**3 + 56*n**3.\nAnswer: 69*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 7218500 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from poqooqoop. What is prob of picking 2 o and 1 q?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 1187.\nAnswer: 593.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 + 5*z**2 - 5*z + 4. Let s be v(4). Is 23*(-1 + s)*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 2 - 2 = 0. Let k be 1*(-1*(0 + z))\/1. Let v be ((-20)\/8)\/k + 1\/(-2). Let w(h) = -h + 9. Let n(c) = -4. Calculate v*w(s) + 5*n(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (j + 0 + 0)*(62*j + 8*j + 1 - 18*j) in the form g*j**2 + b*j + h and give g.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7541 or 7539?\nAnswer: 7541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -20\/19 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 934, 2268, 4504, 8068, 13386, 20884, 30988, 44124?\n\"Answer: 71*j**3 + 25*j**2 + 762*j + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 257 - 258.03. Let h = 4.07 + y. Round h to one dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/21, 0, 0.02?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.6 and 8299.783?\nAnswer: 8300.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 129 + 51. Let p be (-87)\/r - 2\/(-24)*9. Is -1 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 0*r - 1 = 2*r, 0 = -4*k + r + 11. Suppose -u = -4*u - k*i + 6, 5*u = 5*i - 10. Solve u*n - 5 = 5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from epeeepeepeepeeep. Give prob of sequence pe.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-165)\/(-12) + -12 - (-3)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dodqvdndnqndno. What is prob of picking 1 o and 1 n?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (979\/(-890))\/(6\/(-30))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1)\/x)**(-20\/9)*(x*x\/x**(2\/7))**(1\/3) assuming x is positive.\nAnswer: x**(316\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -402 + 355 + 4 + (4 - 0)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 69*-2*4\/(-96) - (35 - 28).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4190752039.\nAnswer: 29, 47, 103, 29851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - -3 - 2 - 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1066281*j**2 - 2132579*j**2 + 1066304*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - -5) + -1 - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 50 and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -79 - -79. What is the closest to -0.1 in -4, o, 1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 5*h**3 - 48485*h**2 - 26226200*h - 3453346000 = 0.\nAnswer: -260, 10217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12389029 is divided by 2262?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*h + 2*h - 2*h)*(37*h - 73*h + 8*h) + 3*h**2 + 0*h**2 - h**2)*(-5*h**2 - 2*h**3 + 5*h**2).\nAnswer: -116*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from qzqggqt?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 56408130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 - 3*l**2 - l - 5. Let s be y(-4). Let i be (-23 - -3)\/((-6)\/s). Suppose h + i = j, -251 = -4*j + 5*h - 53. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, y: 13}. Give prob of picking 2 y and 1 e.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-2)\/(n\/n**(3\/5)*n)*(n**(2\/3))**(2\/19)*(n**(-2\/7)*n**(-1\/3))\/((n**(-2\/15)*n)\/n**(-3\/5)) assuming n is positive.\nAnswer: n**(-10804\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32 + -28. Suppose m - 29 = -0*m - 4*k, -5*m + 183 = k. Suppose -l*i + m = 3*w + 10, 2*i + 4 = 2*w. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -6*s + 0*s**4 + 0*s**5 - 5\/2*s**2 - 3\/5*s**6 + 6 + 0*s**3. Differentiate q(f) wrt f.\nAnswer: -72*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1516*t + 7*t**2 + 1516*t - t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22 - -21. Which is smaller: j or 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -120.878 + -0.122. Let j = m - -123. What is the closest to j in -2, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2050717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u**3 + 115*u**2 + 697*u - 137. Let q be w(63). Solve -31*k = q + 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of (-30 - 5)\/((-10)\/84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -22002 and -21996 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 16) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*q + 2*o = -68*q - 29, -3*o - 3 = 0. Let f(j) be the first derivative of 1\/3*j**3 + q + 2\/3*j**2 + 1\/3*j. Suppose f(x) = 0. What is x?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 48455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 129. Suppose k = -4*o + 2*k + 241, 2*o - 4*k = t. Let v(q) = q**3 - 11*q**2 + q + 4. Let s be v(11). What is the highest common factor of s and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + 2*c + 4. Let n(h) = h**3 - 5*h**2 - 8*h + 14. Let x be n(6). Suppose x*q - 3 = o, -4*q + 3 + 9 = 0. Is o not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 3 t when four letters picked without replacement from {i: 2, w: 1, t: 4, d: 3}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1290 + 1533. What is the greatest common divisor of a and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 186*v - 19642. Calculate r(104).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1300272?\nAnswer: 2, 3, 103, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 37 and 2324081?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/684 and 13\/33.\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2246 is divided by 141.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 57.1618611 rounded to one dp?\nAnswer: 57.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -3*m + m. Let w = -8 + 13. Suppose 3*y - 359 = -4*u, w*y + m*u = -4*u + 585. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -43*s**2 - s + 2. Let m(z) = 45*z**2 - 3. Give -3*g(f) - 2*m(f).\nAnswer: 39*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/19, -1\/9, 17231.\nAnswer: -1\/9, 4\/19, 17231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 + 10*q + 441877. Is f(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a + 19. Suppose 0 = 3*h - 8*h + 135. Suppose -h = -u - 16. Let g be r(u). Sort 5, -2, g in ascending order.\nAnswer: g, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -5777, -23091, -51943, -92333, -144261?\n\"Answer: -5769*l**2 - 7*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 537878.8mg in nanograms?\nAnswer: 537878800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 101*w + 1132. Calculate the remainder when 388 is divided by i(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 3*h - 25, -12 = -2*n - n. Suppose -g + 40 = -h*x, -g + 2*x = -3*x - 38. Calculate the remainder when g is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*8\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 c, and 1 k when three letters picked without replacement from {k: 2, l: 5, c: 4}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 758375 and 17000?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -134\/109 - -511\/327. Let k(h) be the first derivative of 5\/6*h - 15 + x*h**2 - 1\/18*h**3. Find o, given that k(o) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**6*g)**(4\/25)\/(g**(4\/17)\/g**(-4\/9)))**(26\/7) assuming g is positive.\nAnswer: g**(43784\/26775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - (-31 - (-9 + 22))) + -12\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*x**4 + 2*x**4 - 6*x**4 + (0*x - 2*x**2 + 0*x)*(2*x**2 + 0*x**2 + 3*x**2).\nAnswer: -21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 60 and 71942560.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y + 0*y + 121038679*y**2 - 121038649*y**2.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/23?  (a) 1  (b) 4\/3  (c) 309  (d) -0.64  (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (22 - (34 - 9)) + 24\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 200 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -22*3\/(-6) + -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 163\/22330 and -11\/14210?\nAnswer: 156310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - 1)*20\/(-8). Let f(u) = -u**3 - u. Let o(i) = 2*i**3 - 6*i**2 + 5*i + 2. Let t = 65 - 66. Let k(s) = t*f(s) - o(s). Determine k(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 3*y - 3*v - 8, -20 = -5*v. Calculate the remainder when 27 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 5.7 and -0.228049?\nAnswer: 5.928049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 4:44 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/5)\/(1\/(-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -150 and 20351\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 4*b + 12, -2 = 3*f - 2*b - 7. Does 8 divide (f*(-19)\/(-2))\/(63\/(-2646))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 = -11*b - i + 23*i - 42, -5*b - 11 = -2*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 245*t**2\/3 - 2231705*t\/3 - 212550.\nAnswer: 5*(7*t - 63765)*(7*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (12\/21)\/(2\/(-7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 2*z - z**2)*(-1310 + 2611 - 1302 + 173*z).\nAnswer: -173*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/1022470 and 44\/295?\nAnswer: 1022470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 552*m**4 - 3055*m**5 - 2*m**3 + m**3 - 2330*m**5 - 552*m**4 + (0 + 0 + 3*m)*(m - m + m**4).\nAnswer: -5382*m**5 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45141.\nAnswer: 3, 41, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 7 + 7)*(-59*i + 59*i + 11*i**2 + (i + 2*i - 4*i)*(-2*i + 0*i + 5*i))*(3 + i - 3).\nAnswer: 88*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 300544571, 0.2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4\/1175 - -1414\/1175. Put -5, i, 4, 21 in decreasing order.\nAnswer: 21, 4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(0 + sqrt(405)) + 5)*4)**2*-4.\nAnswer: -27520 + 5760*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 352 a factor of 3726272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**2 - 46324488*c - 178829849038512.\nAnswer: -3*(c + 7720748)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, -59\/19, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 n, and 1 r when three letters picked without replacement from rccnbrcycn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8280\/(-1150)*10\/42?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**4\/5 - 8*v**3 + 86*v**2\/5 - 44*v\/5 = 0. What is v?\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*m + 5*p - 30, -5*m + 6*m + 3 = 2*p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2 and 187011?\nAnswer: 187009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.14 - -0.14. Let v = 6 + i. Let p = 110\/91 - 12\/13. What is the smallest value in -2, v, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22.985826461 rounded to 2 decimal places?\nAnswer: -22.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, k: 4, v: 8}. What is prob of sequence vvk?\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -243\/8*m - 729\/8 - 1\/8*m**3 - 27\/8*m**2.\nAnswer: -(m + 9)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (120\/(-12))\/(0 + 2). Suppose 0 = -3*t - z + 4*z + 126, 4*z = -t + 22. Put 2, a, t in decreasing order.\nAnswer: t, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, m: 3}. Give prob of picking 3 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**3\/5 + 44*p**2\/5 + 17*p\/5 - 6 = 0. Calculate p.\nAnswer: -1, 2\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k + 3. Let o = -3 - -3. Let z be b(o). Suppose 0 = 2*g + 3*g + 3*x - 15, -z*g = 4*x - 20. Solve i + 0 - 5 = g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3\/3 - 58*b**2\/3 - 2*b\/3 + 58\/3.\nAnswer: 2*(b - 29)*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -3.482, -2\/5, 4\/3, -8 in descending order.\nAnswer: 4\/3, -2\/5, -3.482, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 14 - d - d**2 + 63*d + 6*d**2 + 16. Calculate f(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 + 5*q - 8. Let s be i(6). Let v be (-20)\/s + 12\/21. Sort -2, v, 8 in decreasing order.\nAnswer: 8, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-595)\/(-45)*6\/(-8) and (7 + (-580)\/80)\/((-12)\/176).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4650748 and 96.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (22*s**2 - 13*s**2 - 18*s**2)*(-1 + 2 + 0)*(7*s + 13*s + 6*s) to o*s + t + q*s**2 + l*s**3 and give l.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 3*c = 2*c - 1, -3*g = -4*c + 11. Solve -g*x + 4*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 144 = 2*k - 0, -2*g + 3*k + 62 = 0. What is the remainder when 66\/15 - (-4)\/(-10) - -49 is divided by g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (2*-5*(sqrt(1331) + 0))**2 + 5*(1*(sqrt(1331) + 2))**2*6.\nAnswer: 1320*sqrt(11) + 173147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2*r**4 - 6*r**3 - 228*r**2 - 6*r + 119. Let a(u) = u**3 + 3*u**2 + u + 1. Let o(q) = -6*a(q) - k(q). Find the first derivative of o(b) wrt b.\nAnswer: -8*b**3 + 420*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3787\/10 - 380. What is the common denominator of -34\/63 and q?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72456176 to the power of 1\/3, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 46, 82, 120, 160, 202, 246, 292?\n\"Answer: o**2 + 33*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (21 - (18 - (23 - -12)))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z*(z\/(z**(-1)\/z))\/z*z*z*z**(1\/7)\/z*z assuming z is positive.\nAnswer: z**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62836320?\nAnswer: 2, 3, 5, 109, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1889083?\nAnswer: 7, 211, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 + 3*h + 4. Let j be v(-3). Suppose j*z - 95 = -1023. Let l = -1581\/7 - z. What is the common denominator of -18\/11 and l?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 683.\nAnswer: 5464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 170233.232 rounded to the nearest ten?\nAnswer: 170230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**9*d)\/((d\/(d*d\/((d\/(d\/(d*(d**(-3\/11)*d*d)\/d*d)))\/d)))\/d)*(d\/d**(-2\/9)*d)**(-3\/13) assuming d is positive.\nAnswer: d**(4187\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, 3, 24, -42426.\nAnswer: -42426, 3, 24, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.598 - -0.33. Let x = 0.02 - -0.26. Let z = j + x. What is z rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -30480, -30478, -30476, -30474, -30472?\n\"Answer: 2*i - 30482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -579*o + 553*o + 78 = 260 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -160 + 38 - 47*k**5 + 49*k**5 - 370*k**4 - 4*k + 4*k - 3*k**2 wrt k?\nAnswer: 120*k**2 - 8880*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((-4*(sqrt(112) + 5) - (sqrt(112) - (((-3 + sqrt(112))*3 - sqrt(112)) + sqrt(112))**2)) + -2).\nAnswer: -1180*sqrt(7) + 5335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 - c + 36. Let k be v(-6). Suppose 3*z - 8*z = 50. Let s be 1739988\/20 - k\/z. Round s to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 60046352 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 111020122121000 (base 3) in base 2?\nAnswer: 11010110110101010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.17, 1.4, 9, -5\/4, 15, 0.3, -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(143)\/(-1*sqrt(11))*1)**2.\nAnswer: 6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t - 12 + 11 + t)*(t**4 + 2*t**4 - 7*t**4).\nAnswer: -4*t**5 + 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**5 - q**2 - q. Let y(x) = -11*x**5 - 3*x**2 - 2*x. Let l(g) = -2*v(g) + y(g). Find the third derivative of l(w) wrt w.\nAnswer: -540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkvvkvkkkk. What is prob of picking 2 k?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gwk when three letters picked without replacement from {k: 1, q: 1, w: 3, g: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*p**4 + 2518483*p**3 - 6714250*p + 10.\nAnswer: -36*p**2 + 15110898*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(-12))*h**(3\/5)\/h)\/(h*h*h\/(h*h\/((h**(-12)*h)\/h))*h*h**(2\/15)) assuming h is positive.\nAnswer: h**(322\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-7222)\/(-3) + -2 + 6\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 663*c - 86*c + 300 + 4*c**3 + 52*c**2 - 357*c = 0. Calculate c.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 + 9*m + 8*m - 27*m + 15*m in the form x*m + d and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2\/13)*d*d**(-1\/5))\/(d**(-1))**(-2\/9))\/((d**(2\/5)\/d)**(2\/143)*(d**(1\/3))**(-14\/5)) assuming d is positive.\nAnswer: d**(676\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -85*h**2 - 8*h - 10. Let c = 27 - 31. Let p be y(c). What are the prime factors of (-52)\/14 + 4 - p\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 6*m - 10. Suppose -m + 29 = -2*l + 2*f, 3*f = -5*l - 76. Let r = -6 - l. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -5 - -4 - 6\/(-4). Let o = 27 + -27. Suppose -5*n + 5*t - 28 + 123 = o, 3 = -t. Is c greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c\/(c\/c**6)))\/c**(5\/3))**(3\/10)\/((c*c**(-3\/7))\/(c\/(c\/(c*c**(-2\/7))))*((c\/(c*c**(-2\/3)\/c))\/c*c)\/(c\/(c\/c**(-2\/7)))) assuming c is positive.\nAnswer: c**(-80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of s**4\/12 - s**3\/2 - 5*s**2\/2 + s. Suppose 4*w + 0*k - 3*k = 27, -3*k = -3*w + 21. Suppose -41 = -w*d - 17. Determine f(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2318524673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1684916 - -31039522595\/18422. Calculate the common denominator of 21\/20 and f.\nAnswer: 184220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((18\/15)\/2*-1)\/(13836\/(-201775))\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-11) - 258\/2838?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1961145406.\nAnswer: 2, 11, 47, 1896659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8.7 - -9. Let r = 2.4 - 2. Let p = r - d. Which is the third biggest value?  (a) p  (b) -1  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in -3\/7, 0.2, 42.9, -2\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(2299) + sqrt(2299)*-1 + sqrt(2299))**2 - ((sqrt(19) - sqrt(76)) + 2 + 3*(sqrt(19)*1)**2) - ((-2*sqrt(152)*-4)\/(5*sqrt(8)*-1))**2*4.\nAnswer: sqrt(19) + 166086\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 3*k**3 + 2*k**2 - k + 4. Let c(t) = t**3 + 1. Give -c(h) + z(h).\nAnswer: 2*h**3 + 2*h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 597 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 50\/3777 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 - -10. Suppose 32 = -3*l + o*l. Suppose l = 5*u - u. Solve 2*a + 17 = 4*q - 3*a, -q + u*a = -7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0006345 rounded to 5 dps?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 7, -1, -9, -17, -25?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1432130 is divided by 681?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -7069, -4 in descending order.\nAnswer: 3, -4, -7069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 - 3*d - 2. Let a = 0 - -4. Let j be z(a). Solve 0 = j*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ea when two letters picked without replacement from {j: 1, i: 1, q: 1, e: 2, w: 1, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -402, -365, 236, 1785, 4666?\nAnswer: 9263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (12\/14)\/((-9138)\/(-1302) - 7) and ((-28)\/(-6))\/(4\/21).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -63*q - 420. Give f(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 330 - 905. Let u = h - -1056. What are the prime factors of u?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33*a**4*o + 3*a**4*v + 5*a**3*o - 25*a**2*o*v - 3*a**2*o - a*o + 1 wrt a?\nAnswer: 792*a*o + 72*a*v + 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 69 = 2*h, 5*c - 3*h - 642 = -526. Solve 2*i + 11*u + c = 16*u, 0 = -4*i + 4*u - 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2*j**3 - 3*j**2 + 4*j - 7. What are the prime factors of u(-4)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -1 + -293 + 374.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 + 5. Let w = r - -9. Suppose -3*d - 3 = 4*o + 4, w*o - d = 11. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 483615 and 11.\nAnswer: 483615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1183213553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 PM and 9:40 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 423*x + 47. Let q(j) = -55*j - 6. Let c(z) = 6*m(z) + 47*q(z). Let p(u) = 20*u. What is p(c(o))?\nAnswer: -940*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 233931*j - 126299 wrt j.\nAnswer: 233931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 88285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 74 + -55. Suppose 13*u - d*u + 24 = 0. Suppose -2*l = -u*o + l + 317, -5*o + 410 = -l. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10 - i**2 + i**3 + i**3 - 2*i**2 - 3*i**2 - 18*i.\nAnswer: 2*(i - 5)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 83920824 to the nearest integer?\nAnswer: 9161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -31, -1, -20, -4, 125 in increasing order.\nAnswer: -31, -20, -5, -4, -1, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -819*i = -816*i - 2*w - 2, -12 = -2*i - 4*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9110 = 33*o - 625. Calculate the least common multiple of 45 and o.\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 - 155*t + 14 + 1)*(4*t**2 - 4*t**2 + 2*t**2).\nAnswer: -310*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 34510 to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 174*z**2 - 14569*z + 10554244.\nAnswer: 348*z - 14569","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 275094 and 305660?\nAnswer: 2750940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3869 - 5.3869. What is the third biggest value in 1\/2, 5, -4\/5, -64, d?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28, 44, 84, 160, 284, 468, 724, 1064?\nAnswer: 1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 + -11. Let b(a) = -a**2 - 5*a + 5. What is b(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 677?  (a) 0  (b) 0.161  (c) 1314\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/11  (b) 0  (c) -4  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.4 and 59.\nAnswer: 200.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fzf when three letters picked without replacement from {g: 2, z: 1, p: 4, f: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - -16 - (-4 - -8 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*s + 0*s + 33 - 18)*(-24 + 24 + 10*s) to u + r*s**2 + m*s and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of f**5\/30 - f**2. Let z(d) be the third derivative of d**5\/20 - 4*d**2. What is x(z(w))?\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2578bc + -71?\nAnswer: 25784b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + -3 - 1 - -21. Let d = u - 11. Let j = d - 4. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -462*c - 126*c + 4466782353 = -5960104047. What is c rounded to the nearest 100000?\nAnswer: 17700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 PM and 12:41 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 142*m**2 - 4*m + 4. Let h be k(2). Suppose -5*d + 0*d = 5*w - 940, -3*w - 4*d = -h. Suppose -4*v - 40 = -w. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/4 + (-1)\/2. Let f = -4 + 5. Let b = f + j. Is -1\/2 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a + 16 - 1. Let o be a\/(6\/40)*400000. What is o rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = 7*n - 5*n. Calculate the remainder when n is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -33*r. Let t(i) be the third derivative of i**4\/12 + 6*i**2. Calculate t(a(v)).\nAnswer: -66*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 83 + -417\/5. Let v be (28\/(-35))\/(2\/5). Let f be (2\/(-15))\/(v*(-2)\/(-12)). What is the closest to 0.1 in f, a, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -14\/71, -4, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of l**4\/12 - l**2. Let q(u) = 6*u**2. What is q(a(z))?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8917, -17632, -26343, -35050, -43753?\nAnswer: -52452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-23))**(2\/151)\/(y\/(y**(-22\/5)*y)*y*y\/(y*y**(-1\/20))) assuming y is positive.\nAnswer: y**(-17339\/3020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -4*x. Which is smaller: x or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6858.56  (b) 67  (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((612\/99)\/17)\/(20\/22).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 4079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -279*b**3 + 1246*b**3 + 222*b**3 - 73 wrt b?\nAnswer: 3567*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k - 47. Let f(g) = -g**2 + 6*g + 2. Let t(b) = -b**2 - 3*b - 1. Let a(p) = -f(p) - 2*t(p). Give a(z(i)).\nAnswer: 3*i**2 - 282*i + 6627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 20*x**3 + x**2 - 1. Let l be j(-1). Let z(o) = -2*o**2 - 51*o - 31. What is the units digit of z(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -1 + 2 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of -a**4\/12 + a. Let w(g) be the second derivative of g**4\/4 - 15*g**2 + 11182*g. Give w(k(o)).\nAnswer: 3*o**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 59 and 472?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178 is divided by 56?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29 + 205. Which is greater: 178 or f?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18866?\nAnswer: 2, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 98 - 180*u + 46*u**2 + 0*u**2 - 26 + 62*u**2. Let h(q) = -324*q**2 + 540*q - 217. Let v(m) = -8*g(m) - 3*h(m). Factor v(s).\nAnswer: 3*(6*s - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -4*g. Let z(x) = -415 + 415 - 2*x**2. What is s(z(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -4 + 10 + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2. Let n(s) = -s + 1. Let w(m) be the third derivative of 0*m + 0 - 7\/24*m**4 - 2*m**2 + 2\/3*m**3. Let g(i) = -4*n(i) + w(i). Give g(a(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2.74 and 19239.\nAnswer: 19236.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -1.6  (b) -2\/15  (c) -1  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = -2*z + 18. Let y be 9*4\/(-6) - z. Solve 34 = -y*o + 2*d + 14, 3*d + 20 = -5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 + 8*a**2 - a + 10. Let t be j(8). Suppose -3*b - t*b + 7 = n, 120 = 4*n - 3*b. What is the highest common divisor of n and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 21\/2*11\/((-198)\/(-12)). Solve g*u = -3*u + 40 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(40)\/(sqrt(648) - -1*sqrt(648))*4.\nAnswer: 2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/3))**35)**(9\/8)*t*t**(2\/3)*t**(-2\/9)*(t**(1\/2)*t)**14 assuming t is positive.\nAnswer: t**(671\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.3 - -29.9. Let q = 34 - 65. Let z = r + q. Put 10, z, 1\/4 in increasing order.\nAnswer: z, 1\/4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the second derivative of v**4\/72 + 13*v**3\/36 + 7*v**2\/2 + v + 645. Solve z(s) = 0 for s.\nAnswer: -7, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23.4109 + 0.5891. Let o = -4 - -27.5. Let b = o - l. Which is smaller: b or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32462 = 91*a + 32826 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 226 + 783. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -5, 4, 68\/4727, -2\/7, 1\/4, -2, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 826\/(-3) + 34\/102. Let d = a + 281. Solve 0 = -d*v + 2*v - 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26689 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(75)*1*1 - (3*(sqrt(75) - (sqrt(75) + 0)) - sqrt(75))))**2 - -6*(sqrt(3888) + 1 + 4).\nAnswer: 330 + 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 6 = p, 2*u + 30 = 5*p - 23. Solve 4*d + 5*w = 2*d - p, 4*d = -w + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(160)*1*2 + sqrt(160) - sqrt(160))\/(-5*sqrt(16)\/sqrt(2) - (1*sqrt(96))\/sqrt(12)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 155*b + 2 + 1 - 158*b + (b + b - 3*b)*(3 - 28 - 39) as a*b + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(2\/3))**(-25\/3)*(p\/(p\/(p*p\/(p*p\/(((p\/(p*p**(-1\/4)*p))\/p)\/p)*p))))**(-1\/30) assuming p is positive.\nAnswer: p**(-191\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 825 + -571. What are the prime factors of a?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 44*v. Calculate the remainder when n(2) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 635195 divided by 55.\nAnswer: 11549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 1\/7  (c) 8  (d) -3\/8  (e) -133.8  (f) -12  (g) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -3*t**2 + 96*t + 555 = 0.\nAnswer: -5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -647 + 83. Let j = 253 + k. Let x = -310.99999791 - j. What is x rounded to seven dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2038919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o. Let p(x) be the third derivative of 3 - 1\/6*x**3 + 0*x - 5\/6*x**4 - 12*x**2. Give p(k(b)).\nAnswer: 40*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -820 + 813. Is (-2190)\/m - (-318)\/(-371) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -9*h - 10. Suppose -2 - 5 = q. Is b(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oronorrooorrro. What is prob of sequence noor?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 93 or 88?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + 2. Suppose z = 3*k - 4*k. Is (1\/(-3))\/(k\/531) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -256483, -512968, -769453?\nAnswer: -1025938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/70 + 2 + 102\/(-105).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*d = 16*d - 96 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 55*j - 3*j - 228852. List the prime factors of j.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (376*w + 637*w - 324*w)*(-5*w**3 + 3*w**3 - w**3) to the form r*w**4 + p*w**3 + i + j*w + f*w**2 and give r.\nAnswer: -2067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2a0dc0 - 27?\nAnswer: 2a0d97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 3*h = -2*b, -5 = 5*b - 4*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -43 - -39. Let w be -712*1*d\/8. Suppose -5*r + w = 3*m - r, -2*r = -3*m + 326. Is 23 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = t + 4*z - 3*z, -3*z = -2*t + 2. Suppose -2*l - n = 3 + t, 5*l + 20 = -5*n. Solve l = -5*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (5\/(-15))\/((-1)\/9). Suppose -4*s + l = -18, -q*s + 2 = -0*l + 5*l. Let y = 10 - 6. Calculate the greatest common divisor of s and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -4*v + 18. Factor 2*b**v + 0*b**2 + 0*b**2 + 2*b**3 + 8*b**2.\nAnswer: 4*b**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + 3 + -4 + -2. Let n be ((-6)\/12)\/(k\/20). Let p(v) = v**2 - 3*v - 3. Let f be p(n). Calculate the highest common factor of 63 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 147 = -r + 179, -2*r + 26 = 2*b. Solve -b = -27*h - 73 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1753*b - 494?\nAnswer: 1753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 5*y + 14. Let o(k) = -3*k - 9. Let w be (-90)\/(-20) - 1\/(-2). Let l(c) = -c**3 + 5*c**2 - c. Let p be l(w). What is p*z(d) - 8*o(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**8*f)\/f*f**(7\/5))\/(f**9*f**(-1\/17)))**(1\/26) assuming f is positive.\nAnswer: f**(3\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (2 - 0 - 5 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*k + 3*k = k. Solve -1 = 2*i + y, 4*y = i + 14 - k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 240 divided by -2.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1681667, 3363331, 5044995, 6726659, 8408323?\nAnswer: 10089987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 187780543.\nAnswer: 187780543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 52983552 a multiple of 2432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-424 - -424) + -2 + (2 - -1) + -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -778 = 602*w + 18486 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -129, -1124, -3809, -9024, -17609, -30404?\n\"Answer: -140*r**3 - 5*r**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8 less than -9.8587567?\nAnswer: -9.0587567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + m - 2 = 0, 5*z + 3*m - 141 = -149 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n**3\/2 + 8724426*n**2 + 12686074427910*n + 405945447930048 = 0. Calculate n.\nAnswer: -2908126, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.305334 - -0.105334. Let g = 0.06 - -1.94. What is the nearest to 2 in a, -1, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 8 = 4*n, 5*v = -10*n + 5*n + 35. Solve 0 = 2*a - 4, 11*a = -n*l + 8*a - 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 7) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102649 = 3561*r - 57596 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -11*z - 5. Let u be c(-6). Let a(v) = v**3 + 14*v**2 + 44*v - 11. Let t be a(-8). Solve 4*r = -5*p - t + u, 5*r + 5*p = 45 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 39*j - 6)*(-5 - 4*j + 5).\nAnswer: -156*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cuvscsgj. Give prob of picking 1 c, 1 j, 1 v, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 58216.9956 rounded to the nearest 10?\nAnswer: 58220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 21*m - 59*m - 7 + 31*m - m**2. Let i be ((-6)\/(-8))\/(1\/(-8)). Calculate l(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*x + 17*x - 1040. What is the third derivative of -4*m**3 + x - 104 - 61*m**2 wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 2335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 139*(14\/3 + 20416\/(-5568)).\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 v when three letters picked without replacement from ruggvu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y + h - 18, -y = -0*y - h. Let n be 2*8*y\/4. Solve -2*u = u - n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112020 (base 4) to base 14.\nAnswer: -732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v + 1. Let i(j) = 6*j - 8. Let y(d) = 3*i(d) + 21*m(d). Let c be y(-2). Let k(n) = 2*n. What is the units digit of k(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 - (148\/(-25) + 4). Let k(l) = 1. Let i(r) = -r - 2. Let x(q) = -i(q) - 5*k(q). Let u be x(4). Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 783 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + 9*z**2 + 13*z + 12. Let v be b(-8). Let f = v + 33. Suppose f*s - 2*j = 366, -s + 3*j + 70 = j. What are the prime factors of s?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13368 and 46609203.\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 - 0.1. Let b be (-2)\/90 - 8\/(-36). What is the nearest to s in 2\/5, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/5)\/((-6)\/5). Let f = 5\/8 + -3\/8. Which is the nearest to f?  (a) -1  (b) 2\/7  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 21, 1\/2, -1, 0.1, 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -200.4 + 283.4. What is the second smallest value in -1, 5\/7, t?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 381 and 4826?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*b**3 + 19*b**3 - 13*b**3 - 3*b**3 + 26*b**3 - 4*b**2.\nAnswer: 92*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -12*m + 12. Suppose 0 = x - 1 - 0. Let v be q(x). Is v at least as big as 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 5, 5\/2, -49?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.227*-9115.\nAnswer: 2069.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence id when two letters picked without replacement from {d: 1, u: 3, i: 7, o: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (63\/(-4))\/((-2)\/(-24)). Let d = -189 - k. Find c, given that -3\/5*c**4 + d*c**3 + 1\/5*c**2 + 2\/5*c**5 + 0 + 0*c = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 3:41 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 209609?\nAnswer: 179, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/13, -2\/7, -27522, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -505 + 511. Let y(w) = -6 - 28*w + 12*w + 18*w + j. Let n(m) = 35*m. Give n(y(o)).\nAnswer: 70*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 - -133123?\nAnswer: 133124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*5*(sqrt(57)\/sqrt(3) + 5).\nAnswer: 10*sqrt(19) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-138)\/9 + 10\/(-15). Let n be (2 + -7)*(r + 11). Let w = -5 - -7. Solve 3*s = -4*a - 35, -4*s + w*a + n = -7*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/5 of a milligram in micrograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - (11 - 0))*-1*2. Suppose d + l = -0*l + 2, 3*d + k = 2*l. Let p be (-3 - d)*15\/(-5). Solve 6 + 6 = p*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.3 + -1.1. Let u = -0.8 - a. What is the closest to -1 in 2, u, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of 4\/15*k**3 + 0 + 1\/15*k**4 + 1\/150*k**5 - 2*k - 51*k**2. Factor c(a).\nAnswer: 2*(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 4*f, -2*o + 2 = -5*f - 1. Let h be 79\/4 + -6 + 29\/o. Solve 1 = 5*t + h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 84  (b) 3\/2  (c) -1\/3  (d) 3  (e) -2\/505\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 1)*(-d - 5*d - 2*d)*(10*d**4 - 4*d**4 - 11*d**4).\nAnswer: 80*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46 - (-37 + 69) - 3 - (49 - 1).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a**(-2\/11))**(-2\/165))**(19\/5))**3)**(-3\/11) assuming a is positive.\nAnswer: a**(-228\/33275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13510 and 35305?\nAnswer: 95394110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*z**4 - 3*z**3 + z**2 + 38389*z + 87259540 wrt z.\nAnswer: -8*z**3 - 9*z**2 + 2*z + 38389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*2\/(-4))\/(-16)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.76566 + 0.3?\nAnswer: 6.06566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (186 - 246) + 69 + 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (-1 + sqrt(15)\/((sqrt(27) - sqrt(3)) + sqrt(3)) + 3)*-2)**2.\nAnswer: 8*sqrt(5) + 344\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**2 - 5*m + 1. Let b be l(-6). Let g be (85\/(-20) - b)\/(153\/(-6)). Let f(s) = s**2 + 3*s + 1. Let h be f(-2). Is g less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -325e8 + -4?\nAnswer: -325ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15.76517 + 28.\nAnswer: 43.76517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -2*s**2 + 4*s + 1. Suppose -7*l = -3*l - 28. Let q = l + -4. Calculate n(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6 + 311?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 3*t = t - 164, -4*f - t + 638 = 0. Suppose 5*l - f = l. Suppose -3*y - y + l = 0. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*x = 4918 - 5226 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 582201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 287932.1581079 + -287933.67. Let d = -1.512 - l. What is d rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2627?\nAnswer: 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.037957 + -0.038. What is q rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7  (b) 8.2  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*v**2 - 12*v**2 - 18*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-64)\/48*6 - -17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of k**5\/60 - 5*k**4\/18 + k**3\/2 - 3*k + 14. Factor z(o).\nAnswer: o*(o - 9)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3241 - -31.51458442.\nAnswer: -3209.48541558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5142137, -4, 0.\nAnswer: -5142137, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 1)*(6*w - 5*w - 9*w) + 10*w + 10*w - 4*w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 200 divided by -8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**4\/4 - 234345*a**3\/4 + 3*a**2 + 703031*a - 937380 = 0.\nAnswer: -234345, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - 1. Let h(n) = n**2 + 6*n + 10. Let t be h(-10). Let x = u + t. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 - o**2 - o + 1. Let x be y(2). Let k be 0 + ((-9)\/(-15))\/x. Let h = -9073 - -9065. Which is the second smallest value?  (a) 3  (b) k  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10 or 1293?\nAnswer: 1293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 - 16. Suppose 5*r + g = 233, t*g = -7 + 1. What is the least common multiple of 3 and r?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 + 13*v - 10. Let p be o(-14). Solve 0 = p*n - w + 16, -4*w - 13 - 23 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2 - -51)\/(-7))\/(-8 - -7). Let j(m) = m**2 - 11*m + 7. Determine j(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -13815890, -27631784, -41447678, -55263572, -69079466?\n\"Answer: -13815894*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b2 + -7310?\nAnswer: -721a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32320?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 4*k - 5 = 3*p, -p = -3*k - 23. Suppose p*b + 223 = 12*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 204, -326, -1208, -2442?\nAnswer: -4028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(110)*-1*5*-3)\/((sqrt(90) + (-1*sqrt(90) - sqrt(90)))*5 + 3*sqrt(90)*-2 + sqrt(90))*-5.\nAnswer: 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3580 divided by 716\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6, 49, 120, 219, 346, 501, 684?\n\"Answer: 14*w**2 + w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*j - 12*j**3 + 8*j**3 + 32*j**3.\nAnswer: 28*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -9*v - 119. Let f be i(-13). Does 18 divide ((-3)\/(-6))\/(f\/(-468))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 34*y**6 + 10*y**5 + 503*y**2 + 2*y wrt y?\nAnswer: 4080*y**3 + 600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37 is divided by (-5 - (-5)\/2)\/(1\/(-8))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w - w**2 + 0*w + 0*w**2 + 12 - 12 + 6*w**2 - 2*w**2 + 0 + 0 + (-4*w + 6*w - 3*w)*(2*w - w - 2*w) - 2*w**2 - 1 + 1.\nAnswer: 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1096689, 2193370, 3290041, 4386696, 5483329, 6579934, 7676505?\nAnswer: 8773036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*z + 46*z = 6. Let b(g) be the first derivative of -1\/2*g**4 + 0*g - 1\/3*g**3 + 2 + 0*g**z. What is the third derivative of b(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000020154 to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - m = -25, -6 = -r + m - 17 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2986492565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, w: 1, d: 11}. What is prob of picking 4 d?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -39, -69, -99, -129, -159?\n\"Answer: -30*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -2.473277?\nAnswer: 0.7419831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z**2 + 40*z + 30. Calculate i(21).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((-9)\/(36\/8)). Let p = 0 + s. Factor -p*g**2 - g - 1\/2.\nAnswer: -(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 5*d**2 - 5*d + 5. Suppose -b - 4*b = 40. Is f(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42318077 - 0.2404?\nAnswer: -42318077.2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of -10 + 3*h**2 - 1\/3*h**3 + 2*h. Let k be p(6). Solve -k*r = 2*y - 0*r, -5*y - r = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * -6.4.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10206168, -40824665, -91855496, -163298661, -255154160?\nAnswer: -367421993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 8:54 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001776955 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 80524979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -43650.9 times 5?\nAnswer: -218254.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/13, -23, 2, 577, 3\/5?\nAnswer: 577","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-148)\/(-2) - (1 + -2). Let f = -45 + d. Suppose 0 = -5*c + 3*c + f. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, 4, 0, -10, -2 in descending order.\nAnswer: 20, 4, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 485847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2*f**3 + 48*f**2 - 51*f - 13. Calculate l(-25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 798933.3 years?\nAnswer: 9587199.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2520057386 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**2\/11 + 964*w\/11 + 966\/11 = 0.\nAnswer: -1, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 127164.637977 + -127920.637. Let a = 756 + w. Let y = -0.001 + a. Round y to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -111*f**2 + 111*f**2 + 4*f**3 + 0*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 86159 + -522?\nAnswer: 85637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -c**3 + 543*c**2 - 81408*c + 2031616 = 0.\nAnswer: 31, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -301*c + 579 = 278 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 59.1 - 64. Round s to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 3*m = -144, 2*f - m - 62 = -0*m. Let q = f + 30. Calculate the smallest common multiple of 18 and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 302 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 2*b - 2. Suppose m - 2*m = b. Let a(t) = -t**3 - 3*t**2 - 3*t - 3. Let k be a(-2). Which is greater: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (12\/(-3))\/(2\/(-23)). Let n = x - 42. Suppose -17 - 111 = -n*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*((-494)\/(-95))\/(1*4\/5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2979\/2 - -8939\/6. Suppose -1\/3*i**3 + 0*i + w*i**2 + 0 = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 27 - 11. Suppose -p = -17 + h. Let i be (1\/p)\/((-17)\/(-34)). Solve -i*s + 4*s = -10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/3486694 and -49\/562370?\nAnswer: 17433470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**2 + 15*o + 10. Suppose -5*f = -0*f + 75. Let a be x(f). Let l be (-1 - 4)*(-66)\/a. What is the highest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6858 divided by -6.\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*r - q - 2*q, 2*r = -5*q - 15. Suppose -5*j = r - 25. Suppose -k**j + k**3 - k**3 + k**2 + k**5 - k**3 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {x: 4, v: 1, g: 1, p: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 30*w + 1. Let v(h) = h + 1. Let y = -39 + 40. What is y*v(u) - g(u)?\nAnswer: -29*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 516 = 4*d. Let p = d - 130. Let z = p + -93. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 + -22. Suppose o = -4*a - h - 1962, 865 = -5*a + 4*h - 1577. Is ((-3)\/(-2))\/((-21)\/a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 23 = -2. Let c be 16\/80 + 58\/10. Suppose 39 = v*m - s + 11, -3*s = -c. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 605\/73 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2345, 2343, 2339, 2333?\nAnswer: 2325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4394\/119 + 618\/17. What is the closest to 2\/7 in 1.5, -5, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3063 - -3063. Solve 11*f - 15*f - 12 = m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, b: 4, m: 2, u: 1}. Give prob of sequence buqm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes after 4:06 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 1566?\nAnswer: -1565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 6*u**2. Let p(w) = 0 + 0 + w. What is k(p(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of 0*p + 1\/30*p**5 + 0 + 1\/6*p**4 + 1\/2*p**3 + p**2 - 1\/120*p**6. Is h(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of 2*c + 77 + 45\/2*c**2 + 115\/3*c**3. Find the second derivative of n(a) wrt a.\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 u, 1 p, and 1 a when four letters picked without replacement from {x: 1, w: 1, k: 2, u: 2, p: 1, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(70\/14)*(-1)\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-135)\/(-12) - 4\/(-6) and (-14)\/(-6) - 2 - (-436)\/(-120).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + -2 + 1 - -2. Suppose -44 = -s*t - 4*d, t - 5*d - 69 = -12. Suppose 2*o - t = 80. Calculate the highest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4*(-1)\/(-2)*1. Suppose -b = 2*i - 4. Suppose 0 = -q + i + 34. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) - 3*sqrt(77)*2)*-2*-3)\/((-1*sqrt(66)*-1)\/(sqrt(96)*3)).\nAnswer: -360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.075 + -1.075. Suppose 0*l - 3*s + 3 = 5*l, 1 = 2*l + s. What is the closest to h in 1\/4, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*s**2 + 35*s**2 - 17*s**2 - 2*s**3)*(-s**2 + 0*s**2 + 4*s**2).\nAnswer: -6*s**5 - 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2*q**3 - 8*q**2 + 11*q + 13. Suppose 70*s - 71*s = 2*n + 3, 0 = -4*s + 5*n + 1. Let r(u) = -u**3 + u. Let i(w) = s*r(w) + j(w). Give i(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 306338363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1  (b) 0.069  (c) -2804  (d) 5\/7  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 307 = 3*l, -5*l - 194 = -2*t + 327. Let k = -103 - l. Let x(a) = -42 + 97 - k*a - 37. What is x(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 901223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 510 - 509.99. Let k = -0.3 + 1.3. Let s = 0 + k. Which is greater: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - 466?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -3*g**4\/4 + g - 2. Let n be d(-1). Let q be 1*(1 + n + 0). What is the highest common divisor of 20 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 346 is divided by 385\/33*(-210)\/(-49).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + (-45)\/25 + 4. Suppose j - 2*r - 50 = 4*j, -5*j - 115 = -3*r. Let l be 6\/8 + 5\/j. What is the closest to l in -0.3, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76130.\nAnswer: 2, 5, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 4 = -4*r, -2*s + 3 = 2*r - 1. Let k be 2\/s + 214\/2. Calculate the greatest common factor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-162)\/378)\/(144\/(-882))?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(((-180)\/8)\/5)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 259 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10234751 is divided by 81225?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 + v**2 - v. Let t(k) = 3*k**3 + 4*k**2 + 1. Give -4*n(u) + t(u).\nAnswer: -u**3 + 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1b1 - 1af?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 129173, 258337, 387501, 516665, 645829, 774993?\nAnswer: 904157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kqqf. Give prob of picking 1 k and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -463 + 613*z**2 - 331*z**2 - 3*z - 289*z**2 to q*z**2 + s + j*z and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-8\/7)*i**(-8\/3))\/(i**(-2\/15)*i**(3\/10)*i))**(-21) assuming i is positive.\nAnswer: i**(209\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + -4. Let k = z - -1. Let c = -0.44 + -0.06. What is the biggest value in c, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 217 - 757 = 0. Let a = j + -114. What is the third biggest value in a, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 1:28 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 88*s - 85*s - 2*x - 10, 3 = -4*s + 5*x. Let a(r) = -4*r**2 + 37*r - 21. Determine a(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26181.\nAnswer: 3, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 29306561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 12968029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/2)\/(-31 + 9 - -10)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8224137143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-120)\/(-25) + (-1)\/(-5) - 2. Suppose -452 = f*j - 3785. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 140\/3 + -46. Let h = 1.166 - 1.2. Let k = h - -0.024. Which is smaller: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 + 9.3. Let x = -8.2 + -0.8. Let h = y - x. Which is the second biggest value?  (a) 2  (b) 3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3953508 and 1296?\nAnswer: 426978864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/26 and -125\/72?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 28461.47 micrometers in centimeters?\nAnswer: 2.846147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/13 or -6964?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1370*i + 465*i + 453*i + 453*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -34 + 71. Let t = -64 + u. Let g be (-246)\/t - (-5)\/(-45). What is the greatest common factor of 6 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of 7*t**5\/15 + t**4\/12 + t**3\/3 + 14*t**2. Is r(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 5*j - 70, 5*n - 32 = -j + 20. Factor n*g - 10*g - 12*g**2 - 9*g - 4*g**3.\nAnswer: -4*g*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 16*g**2 + 8*g - 13. Let u be m(2). Solve -3*f + 6 = 0, 0 = z - 3*f - u + 74 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -3*m + 347 + 283, -5*m - 3*f = -1042. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 5:21 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 140 = 25*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -30.879 - -0.879. What is the fifth biggest value in -1, 4, 5, -1.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -5*q**3\/3 - 3*q**2\/2 - 3*q + 2. Let i(n) be the first derivative of 3*n**3 + 5*n - 1 + 5\/2*n**2. Calculate 5*h(w) + 3*i(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i + 1. Let p = 592 - 597. Let c(x) = 6*x**3 + 2*x**3 - 8 - 5*x + x**3. Let g(j) = p*q(j) - c(j). What is the first derivative of g(r) wrt r?\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ijxkiksj. What is prob of picking 2 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(3\/2)*x**4)\/(x**(-2\/7)*x)**29*((x\/(x*x**(-4)))\/x**(-3))**3 assuming x is positive.\nAnswer: x**(81\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u - 2*u = 0. Suppose 9*f - 6*f - 7 = 2*m, -3*f - 8 = m. What is the tens digit of u - (-7 - (f - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 - 4. Suppose -6 = j - v*j. What is the third derivative of j*n**2 + 3*n**3 + 65 - 65 wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3480 divided by -116\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 - 4*v**2 + 4. Let j be y(-3). Let a = 0.03 + -0.12. Let b = 0.31 - a. What is the second smallest value in -1\/6, j, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 268 - 265. Let w(y) be the third derivative of 0 + 1\/15*y**5 + 0*y**4 - 1\/6*y**z + 4*y**2 + 0*y. Find the first derivative of w(v) wrt v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1026099461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 92737482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 19289637, 19289639, 19289641?\n\"Answer: 2*y + 19289635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 559606 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1))**(-5\/6)\/((y*y*y\/(y\/(y\/(((y**(-1\/4)\/y)\/y)\/y))))\/y*y*y*y*y**(-2\/7)))\/((y\/y**(-4)*y*y**(4\/3))\/(y**0\/y**(-2\/13))) assuming y is positive.\nAnswer: y**(-5209\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -175, -177, -179, -181, -183, -185?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h + 64 = 12*h. Suppose -4*v - 4*v + h = 0. Is (-598)\/(-6)*(2 + v\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3*(11\/3 - 3). Suppose 4*f = -2*z + 44, 2*f + g*z - 3*z = 26. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(11) - -5*sqrt(176))*4.\nAnswer: 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1207 = 25*u + 543. Suppose -a - 120 = -36. Let f = u - a. Solve 3*g + 2*m + f = 3*m, -2*m - 17 = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) -1  (c) 212  (d) -5  (e) 0.2  (f) 26  (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 98 and 637?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -314 - 6341?\nAnswer: -6655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cccv when four letters picked without replacement from {c: 3, v: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 8*f - 23 = -89 + 124, 4*f = -5*c - 49 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1472, 3572, 6474, 10580, 16292?\nAnswer: 24012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 + 24*d**2 + 3*d - 95. Determine m(24).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10\/3 + -3. Let m = 0.128 - 194.328. Let d = -194 - m. What is the second biggest value in -0.4, v, -2\/23, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/9 and 79\/306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23*k**3 + 3*k**2 - k - 1.\nAnswer: 138*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 185241727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/(-16))\/((21\/6)\/(-7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -54 + 55. Let b(r) = -r**2 + 5*r + 2. Let y be b(5). What are the prime factors of i*(y + 7 + -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*m + 6*m - 57 = -63 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 192311 and 4303?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -54, 9 in descending order.\nAnswer: 9, 4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 77055.9708 to the nearest one thousand.\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 (base 16) in base 10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000111599289 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 106*x**2 - 33 + 127*x + 15 + 18 - 127*x.\nAnswer: 106*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 22951.72ng?\nAnswer: 0.00002295172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of q**6\/120 - q**5\/30 + q**4\/12 - q**3\/3 + 6*q**2. Let t be k(2). Determine c so that -14*c**2 - 15*c**t + 6*c + 27*c**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*1\/(-2)*(-1 - (-12)\/(-6)). Let x = 71 - 56. Solve 0 = -d - 2*d - r*s + 15, x = -5*d + 3*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + 29 - (0 - -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tmmm when four letters picked without replacement from mtmmmmmmmmmmm.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -5*r - 4*p - 3, -2*p = -r + 2. Put 1, r, 6 in ascending order.\nAnswer: r, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -105 - -425\/4. Suppose -5*r - 3*v - 10 = -5*v, 0 = -r + 4*v - 20. Suppose -i - 2*i = r. Which is bigger: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/9 + 237\/(-27). Let r = -6 - j. Find u, given that -r*u**5 + 3*u**5 + 0*u**5 + 4*u**3 - 8*u**4 + 4*u**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/(-5))\/(2\/(-5)). Suppose -14 = 4*w + 2*d, 0 = w + 2*w - 4*d + 16. Let k be (w\/(-10))\/((-4)\/(-5)). Which is bigger: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -11 - 4. Let g = t + -2. Solve -3*q = -4*r - 6*q, -5*q = -g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 3*l + 1. Let h(r) = -r - 1. Let y(i) = 5*h(i) + w(i). Suppose -91*f + 28 = -98*f. Calculate y(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23840 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*-3)\/((-22)\/(-10) + (-4648)\/6640)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.0892365 rounded to three dps?\nAnswer: -1.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 5. Let a(d) = 9*d + 5. Let b(l) = -10*l - 6. Let x(c) = 7*a(c) + 6*b(c). Let i be x(1). Solve -i*n = -o*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2754641524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14.036 + 14. Let m = g + -2.944. Let h = m + 3.4. Round h to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 71.27884 litres?\nAnswer: 71278.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 2*s + 233 = 201, 16*n - 4*s = 72 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 AM and 8:59 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6, 12, 30, 48, 66?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4518 - -4517. Which is the nearest to 5?  (a) -4.2  (b) 2\/13  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of -v**3\/3 - v**2 - 53. Factor x(s).\nAnswer: -s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*z**3 - z**3 - 2*z**2 + 0 - 5*z + 2 + 5*z**3 to v*z + q*z**3 + y + w*z**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -24*r**4 - 68*r**4 + 95*r - 95*r + 54 wrt r?\nAnswer: -368*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*d**2 - 18*d - 8*d - 23*d + d**3 + 33*d - d**2 + 3*d**4 as a + p*d**3 + l*d + h*d**4 + x*d**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56 is divided by 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 179 = 5*n + 2*k - 144, -13*n - 4*k + 0*k - 124 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 52095 divided by -23?\nAnswer: -2265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) -3  (b) -6\/73  (c) 9\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 - 22*h**2 + 33*h + 226. Calculate a(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-87)\/30 + 3)\/(28\/105)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4394 and 15782?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 14 = -a, 4*y + 4*a + 988 = 996 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6353490*d**2 - 5492718 wrt d?\nAnswer: 12706980*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83 = -12*z - 11 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - -3) + -14 + (1 - -21) + 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 75132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/4*(-2)\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 7:09 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2539 from -3145.\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-144374)\/(-9755) - (14 + 0)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5\/92  (b) 0  (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 91279099426 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/(-84) + 206\/42. Suppose 4*q + 5*i + 4252 = u*q, 0 = -3*q + i + 12714. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 224 and 652112.\nAnswer: 9129568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 - 25 - (-4 - -3). Let h be 16\/f*42\/(-4). Let r = h + 9. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1121 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o + 2. Let f be a(8). What is the units digit of (-6232)\/(-40) + 2\/f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - -312032?\nAnswer: 312102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/4 + 181315*w\/4.\nAnswer: w*(w + 181315)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -3\/260?\nAnswer: -3\/260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4609 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 143753459271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cm when two letters picked without replacement from {c: 16, m: 2}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(1377) + 3.\nAnswer: 4 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27828 is divided by 766.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/54 and 2\/180*5\/((-120)\/(-488)).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 23*j + 235. Let t be f(-10). Which is the nearest to 0.3?  (a) -1  (b) 340  (c) -5  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 16\/24*(0 + 3). Find the first derivative of 18 + 5*h**w - 15*h**2 - 7*h**2 wrt h.\nAnswer: -34*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 380 a factor of 8943154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1670192252652 + 1670193107499.559997. Let w = s - 854848. Let c = -0.44 - w. What is c rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*z + 18*z + 25 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 151730*i**3 + 7*i**2 + 4*i - 61 wrt i.\nAnswer: 910380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of (0 - (5 + -3)) + 5 - -183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -11*j**2 - 11*j + 10. Let b(g) = -45*g**2 - 45*g + 40. Let q(a) = 6*b(a) - 25*w(a). Suppose q(c) = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474171.4 rounded to the nearest 10000?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -54.99, 976, 3 in increasing order.\nAnswer: -54.99, 3, 976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28\/3*x**3 + 4\/3*x**4 + 176*x - 80\/3*x**2 + 192 = 0. What is x?\nAnswer: -4, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -k**4*n + 64*k**3 - 2*k**2*n + 304*k*n wrt k?\nAnswer: -24*k*n + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 230438?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbbbbbbbbbbbbbbbh?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -3*z + 4*p, 3*z + 24 = 5*z - 2*p. Suppose z*o + 6 = -1. Let v be ((-4)\/3)\/((-6)\/(-9)). Put v, o, -4 in ascending order.\nAnswer: -4, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -7*n**3 + 11*n**2 + 8*n + 7. Let b(o) = -6*o + 23*o**2 + 14 + 9*o + 9*o - 15*o**3 + 4*o. Let h(t) = 6*b(t) - 13*g(t). Is h(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 - 10*d**2 - 12. Let s be g(-10). Let k = s - -10. Which is the closest to -0.1?  (a) -4  (b) 5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10069 and 0.689.\nAnswer: -6937.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (4 + 2 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 23 + 92*p - 13 + 12*p + 49. Is m(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -s - 69160000. Round s to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57560 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10547617\/72 + 146492. Let a = -9\/8 - q. Let v = a - 1\/18. What is the third smallest value in v, -1, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 0.5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of -p**5\/180 - 2*p**4\/27 - 19*p**3\/54 - 2*p**2\/3 - 144*p - 57. Let s(u) be the first derivative of k(u). Factor s(y).\nAnswer: -(y + 1)*(y + 3)*(y + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/3  (b) 0  (c) -14  (d) -133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2 and 28781155.\nAnswer: 28781157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 5*m - 33, 4*t - t - 5*m = -19. Calculate the remainder when (-4)\/(8\/(-6)) + (-5 - -7) is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 114780655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2457088, 4914180, 7371276, 9828376, 12285480, 14742588, 17199700?\n\"Answer: 2*k**2 + 2457086*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45 + ((-40 - -18) + 19 - -9).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -7*h + 7*h + 3*h - 18. Let z be x(16). Suppose -y + z = -60. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of -4*(-9)\/(45\/325)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (49*(-18)\/(-63))\/(13\/29926).\nAnswer: 2, 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 - -23. Let l be (8\/m)\/((-5)\/90). Let q be (-8)\/l*(-1)\/3. Sort 0.4, 3, q.\nAnswer: q, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15325 - 6386. What are the prime factors of z?\nAnswer: 7, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 3*f + 25 = 0, -23*f = 5*s - 20*f + 37 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21 + -19. Let m(c) = -c**2 + 6*c - 5. Let y(z) = -2*z**2 + 9*z - 7. Let d(t) = -7*m(t) + 5*y(t). What is d(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 32 - 32 + 17*t**3 + 2*t**2 wrt t.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/4, -1\/4, -298, 943, -0.5, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 92 + 20 = 0. Factor 1400*u**2 - 2500 - 500*u + f*u**4 - 14*u**4 - 520*u**3 + 35*u**4 + 31*u**4 - 4*u**5.\nAnswer: -4*(u - 5)**4*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.98 + -2.22. Let c = v + 6.1884. What is c rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1914*o - 1991*o + 3906*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 99 - 88. Suppose -s = -147 + f. What is the remainder when s is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3358 - -3357.7. What is the closest to 2 in -1\/10, m, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the third derivative of -b**6\/60 - 3*b**5\/10 + 81*b**4\/2 + 72*b**2 + 8. Factor j(y).\nAnswer: -2*y*(y - 18)*(y + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(180) + -5 + sqrt(180)*-2*1 + -3)*-2.\nAnswer: 18 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -x - 2*b + 2540 - 2555, 0 = x + 30*b + 155 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1963938.\nAnswer: 2, 3, 29, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1075*c*f**3 + 875*c*f*m - 5*c*m + 9*c + f**3*m + 11*f**3 - 5*f*m with respect to m.\nAnswer: 875*c*f - 5*c + f**3 - 5*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -695, -704, -719, -740, -767, -800?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 84 + -141. Let g be (-52)\/(-1 + (-51)\/m). Is 12 a factor of (-8)\/28 - g\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5 - 5 - -304) + 4. Let d = -412 + 764. Suppose -5*s + m = -d. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3549 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 PM and 7:05 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.5 - -0.3. Let w(n) = n**3 - 10*n**2 + n - 7. Let o be (21 - 1)*(-3)\/(-6). Let g be w(o). Put -0.5, d, g in increasing order.\nAnswer: -0.5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 18\/(-42) + 1 + (-2)\/28. Factor y*v - 1\/2*v**2 + 0.\nAnswer: -v*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fdc when three letters picked without replacement from {c: 6, f: 5, d: 1, h: 1, p: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -426, -1258, -2598, -4446, -6802?\n\"Answer: -254*s**2 - 70*s - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 2684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40715?\nAnswer: 5, 17, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5466000697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 - 2*y**2 - 3*y - 2. Let h be o(-2). Let n = h + -7. Which is the nearest to 0.2?  (a) 4  (b) n  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 27 - 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1092723267 to the nearest integer?\nAnswer: 33056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30, -100, -216, -378, -586, -840, -1140?\nAnswer: -1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1129, 2592, 4431, 6658, 9285, 12324?\n\"Answer: 2*l**3 + 176*l**2 + 921*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of 2*s**3\/3 - 31. Let x(p) = -8*p + 1. Determine x(y(m)).\nAnswer: -16*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 AM and 5:37 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 211917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 8, -1296, -2\/19, -4\/9, -4 in increasing order.\nAnswer: -1296, -4, -4\/9, -2\/19, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31 - 39 - 2*a - 35 + 162 - 46 - 21*a**2 to the form n*a + w + r*a**2 and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f - 26. Let w be l(-5). Let z(x) = 2*x**2 + 2*x + 17. Let r = 20 + -18. Let m(a) = -5*a**r - 1 + 10 + a + 6*a**2. What is w*z(b) + 11*m(b)?\nAnswer: -b**2 - b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20 and 45470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/((-114855)\/(-38)))\/((-18)\/(-117)).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2*b**2 + 4*b - 6. Let l be x(-5). Suppose 65*q + 42 = 72*q. Calculate the highest common divisor of q and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -6*m**3 - 4*m - 2. Determine c(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + 1251a?\nAnswer: 12521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -153*d**4 + 150*d**4 + 18*d**2 + 4*d**3 - 4*d**3 wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -4, 2 in descending order.\nAnswer: 6, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b + 14. Let u be l(-5). Calculate the highest common factor of 24 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = a - 66 + 59, 5*a - 15 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.751 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -404 (base 12) in base 16?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 + 0)\/((-2)\/(-56)). Suppose i*f - 30*f + 8 = 0. Suppose v + 8 = -0*z + 2*z, 0 = z - 4*v - f. Solve 0*h + z*h + 45 = -5*l, -h = 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = -0*y + 5*y. What is the lowest common multiple of y and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 - 5*u**2 - 3. Give g(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -267 (base 8) to base 5.\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1*((sqrt(114)*-1 - sqrt(114)) + sqrt(114)))\/sqrt(6).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes before 6:49 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6.12 + 4.62. Sort 0.2, j, 1\/4 in descending order.\nAnswer: 1\/4, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/6*(-27)\/(-6). Suppose a = 4*y - u*a, -a + 16 = 3*y. Solve -v = -y*s - 17 - 0, 4*v + 22 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + sqrt(55)\/sqrt(5)*-4)*3.\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04816 + 110577941?\nAnswer: 110577940.95184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10257 and 266136.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 17*o**3 + 25*o**2 - 13*o + 23. Let s(k) = 21*k**3 + 27*k**2 - 12*k + 22. Let m(g) = 4*s(g) - 5*u(g). What is m(-18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20815?\nAnswer: 5, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117 = 12*g + 357. Put g, -1, 0, 3, 12 in decreasing order.\nAnswer: 12, 3, 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-9)\/(-15) + 2428958\/70. Round v to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 659330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2104 - -3927?\nAnswer: 6031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -77*k**3 + 2*k**2 - 3. Let u(s) = s**3 + s**2 - 1. Determine -3*u(j) + x(j).\nAnswer: -80*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 21 - 2540755374.\nAnswer: -2540755353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24645 is divided by 548?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (63\/(-6))\/((-15)\/250)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44541 is divided by 8830?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 - 6*n - 6. Let k = -58 + 64. Let t(i) = -2*i**2 + 249*i + 251*i - 489*i + 11. Calculate k*t(f) + 11*z(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17 - 19 - 5*z + 3*z + 29 to l + d*z and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16 - -26. Let s = -10 - 4. Let a = s + 14. Solve a = -5*l + 5*t - u, 8*l + 5*t = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 562.9020975 to two dps.\nAnswer: 562.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 721 + 1\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -a*t**4 - 15*a*t**2 - 39*a + 2*t wrt t.\nAnswer: -4*a*t**3 - 30*a*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 297\/20 - 53\/4. Let d be 82\/10 + ((-4)\/10 - 460\/100). Solve -16\/5 - b*x**3 - 4\/5*x**4 + d*x + 12\/5*x**2 = 0 for x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12905472 to the nearest integer?\nAnswer: 3592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2597 is divided by 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of 4*y**5\/5 + y**3\/6 + 10*y. Find the second derivative of m(k) wrt k.\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 + -55 + 59 + -23?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 28385034.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 AM and 2:19 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 36588016921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7237633231.\nAnswer: 25247, 286673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 3\/85, 1\/8186584?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17535752 divided by -190606.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -98 (base 10) to base 9.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 298914271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and 0.044?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2240)*-2)\/(sqrt(60)\/sqrt(3)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -206\/483 + -1\/483. Which is the third smallest value?  (a) 1  (b) -4  (c) r  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of v**5\/15 - 3*v**4\/2 - 107*v**3\/9 - 30*v**2 - 92*v\/3 - 1545. Determine a, given that b(a) = 0.\nAnswer: -2, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 746926.3 micrometers to kilometers.\nAnswer: 0.0007469263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -17*g**2 + 4*g - 5. Let k be (-5)\/(-2)*4\/5. Let z be x(k). Round z to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 28107859?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 18*u**2 - 23*u + 4. Let h(z) = z**4 + z**2 - z + 1. Let v(k) = -4*h(k) + w(k). Find the second derivative of v(s) wrt s.\nAnswer: -48*s**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 955.4813mg?\nAnswer: 0.0009554813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 13*i**4*p + 127*i**4 + 15*p - 83 wrt i?\nAnswer: 52*i**3*p + 508*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 8 - 3 = 4*n, -2*n - 58 = -4*x. Calculate the greatest common divisor of x and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -66.9\nAnswer: 200.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {n: 3, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 7, 1\/2, 0.15 in decreasing order.\nAnswer: 7, 1\/2, 0.2, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -112879, -451229, -1015043, -1804321, -2819063, -4059269, -5524939?\nAnswer: -7216073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 4*f**3 - 1036036*f**2 - 2072084*f - 1036044 = 0?\nAnswer: -1, 259011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/3  (b) -538  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 2*j = 5, -25*j + 23*j + 9 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/(-21))\/((-2)\/(-10)). Let m = 32\/35 - s. Solve 0*k**3 + 0*k + 0 + 0*k**2 + m*k**4 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1529043 + -1529042.7. Let k(s) = -2*s - 4. Let l be k(5). Which is the nearest to l?  (a) -4  (b) -7  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/237 and 19\/711.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.18 and -6?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -26 + 46. Let n = 0.257 + 19.843. Let t = k - n. Which is the nearest to t?  (a) 0  (b) -2\/11  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - -6. Calculate the lowest common multiple of 6 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of 0 + 2\/7*j**2 + 1\/21*j**3 - 1\/42*j**4 + 16*j. Find z such that c(z) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * -0.04966.\nAnswer: 0.02483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 7:59 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 0 - 1)*(-4*y - y + 2*y)*(0 + 3 - 1)*(0 - 6 + 3) to n*y + w and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 2*v - 794 = -5*w, w - 397 = v. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-298)*42*3\/18. Is c greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q**3 + 38*q - 79. Determine a(0).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 5517\nAnswer: -551.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1801.371 weeks?\nAnswer: 1089469180800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 203327 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-34 - -20) + (-539)\/(-38). Which is greater: -0.05 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -384 - -394 - (44 - 1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) 0.3  (b) 0.4  (c) -2  (d) 0.04  (e) -8540\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + -13 + (-1 - 0) + -1 + -10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -274974*o**2*v + o**2 - 4*o*v + 30*o + v - 1887 wrt o.\nAnswer: -549948*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1300 - 2221?\nAnswer: -10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 7*a. Solve 0 = -4*r + i + 3, a = 2*r - 0*r - 2*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-269)\/3497 + (25\/(-13) - -1). Let k be (1\/(-3))\/(34\/(-12)). Which is the closest to -2\/15?  (a) 0.5  (b) y  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 9*t = 3*x - 30596, 2*x = 2*t + 20398. Suppose -2*s = -l - s - 3400, 0 = 3*l + s + x. Round l to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i**4 - 2*i**2 + 2*i**2)*(-207*i + 0 + 230*i - 5).\nAnswer: 23*i**5 - 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2682 and 22959.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76 = -2*p - 6189*t + 6192*t, -135 = -5*p + 5*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6 or 10\/525331?\nAnswer: 10\/525331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 - 6*h**2. Let g be x(-6). Let t(k) = 0*k**2 - k - 1 + g*k + k**2. Let r be t(5). Calculate the highest common divisor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -5*f + 3. Let p = 0.15 - 0.05. What is the nearest to p in f, 0, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2714 + -1972. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63419?\nAnswer: 63419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rqrqqrqrrq. What is prob of picking 2 q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27)\/(-24)*(-2)\/(-9)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 72246, 68617, 64988, 61359?\n\"Answer: -3629*t + 75875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -6*h + 6. Let n(a) = -a - 1. Let f(z) = 18*z - 17. Let t(l) = -f(l) - n(l). Give 11*d(m) - 4*t(m).\nAnswer: 2*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 466 is divided by 326?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2777249, -5554498, -8331747?\nAnswer: -11108996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3181120 or 22267850\/7?\nAnswer: 22267850\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of -g**4\/6 + 41*g**3\/6 - 13*g**2 + 9*g. What is the remainder when p(18) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00390814881 to 6 dps.\nAnswer: 0.003908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1587 + 2318. Suppose -3*b - s = -2*b - 358, -2*b + s + y = 0. Is 47 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 43136 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 64401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2 - 6*l - 2 + 3 + 5*l. Let u be n(-1). Suppose -3*x = -u*x - 81. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11.9 - -14.2. Which is smaller: 0.2 or k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 800 and 992?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -32 + 48. Suppose 3*z = 4*b + 7, -2*z + 7 = -7*b + 2*b. Suppose v = -2*d + 16, 15 = 4*v - z. What is the remainder when i is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-91)\/(-5) + 1*(-1)\/5. Let v be -3*(-3)\/f*(2 + -2). Suppose -2*x + 499 = -5*b, v*x + 2*b = x - 251. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-14)*m*m\/m**(3\/8)*m assuming m is positive.\nAnswer: m**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-6) - 52\/(-228). What is the second biggest value in 3, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 225\/(285\/57) + 16?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15066, 15064, 15062, 15060?\nAnswer: 15058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q**17))\/q*q)\/(q*q**(1\/2))*(q**(2\/21))**(-21\/2) assuming q is positive.\nAnswer: q**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-126)\/45*16\/128*-40?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*25*(-19)\/(-855).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1419 or 4\/3?\nAnswer: 0.1419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + -2. Let h = -3 - -3. Is u bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b*(((b\/(b*b*b**0*b))\/b*b)\/b)\/b))**(-47\/5)\/(b*b**(-2\/7)*b)**(-12\/17) assuming b is positive.\nAnswer: b**(-16059\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 - 14*j + 22. Let o be f(11). Let d be (-1 + 0 + -1)*4. Let r = d - o. Solve 3*k + 11 = b, r*b = -0*b + 4*k + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-44)\/66)\/((-2)\/9). Suppose z + 2*d = 31, -17 = -f*z - 5*d + 71. What is the remainder when z is divided by (((-9)\/(-2))\/(-3))\/(138\/(-368))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.06 < -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 45\/(-36)*(-1)\/40. Let v = 29220185\/224 + -130447. Let t = h + v. What is the closest to 0.4 in 2, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.265229 + -17\nAnswer: -16.734771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*z + 9*z + 14 = 0. Suppose -2*t - z = -89. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 59 and 2463781?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 3*k = -10, 0 = -3*x + 4*k - k - 15. Let n(g) = -g**2 - 3*g + 2. Let d be n(x). Let a = 9 + d. Solve 2 = -s + a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97*f**3 + 57898*f - 57898*f + 86*f**3 - 35*f**3 + 77*f**3.\nAnswer: 31*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 - 8*h**2 - 3. Suppose 0 = 7*p - 7. Let w(n) = -8*n**3 - n**2 + n. Let z be w(p). Let j be b(z). Is -20\/7 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 359, 351, 357, 383, 435, 519?\n\"Answer: w**3 + w**2 - 18*w + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -16*m**3 + 22*m - 1059. Let n(v) = 7*v**3 - 11*v + 529. Let g(h) = -5*n(h) - 2*s(h). What is the first derivative of g(f) wrt f?\nAnswer: -9*f**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccccc. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 479 by 7.\nAnswer: 479\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - v = 0, 5*h + 3 = 2*v + 24. Suppose -3*t + 4*t = 3*m + 4, -h*m - 3 = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 6*c**2 + 1. Let q(z) = -z**3 + 7*z**2. Let f(y) = -7*o(y) + 6*q(y). Differentiate f(p) wrt p.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5941, 11853, 17765, 23677?\nAnswer: 29589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 4 = b, 4*d + b - 5 = -11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20 + -25. Let g(k) = k**2 + 4*k - 3. Let t be g(x). Let a(p) = -p**3 - 6*p**2 + 1. Let v be a(-6). Sort v, -8, t in increasing order.\nAnswer: -8, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 + 4*a**2 - a - 4. Let v be w(3). Let l be 6\/8 + (-10)\/(-8). Suppose -v*s - k = -63, -s + 54 = -2*k - l*k. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10009510.\nAnswer: 2, 5, 7, 142993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of -3\/10*o**5 + 0*o**4 + 0 + 0*o**2 - 2*o + 11\/3*o**3. Find the second derivative of w(u) wrt u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100101001 (base 2) to base 3\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*w + 12*w = 980. What is the remainder when 951 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 38.14 + -37.7569. Let d = f - 0.364. Round d to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 9*g + 9. Let b = 24 - 30. Let x(p) = 4*p + 27. Let c be x(b). Let u be i(c). What is the highest common factor of 252 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12519, -12520, -12521, -12522, -12523, -12524?\nAnswer: -12525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*v**3*x**3 + 67*v**3*x + 20*v**3 - v**2*x**4 + v**2*x**2 - 13*v*x**3 - x**2 wrt x?\nAnswer: 36*v**3 - 24*v**2*x - 78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What is -3100000 rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - 170b?\nAnswer: -1708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.52?  (a) 2  (b) 6  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.7 + 4.39. Let o = m + 0.2. Let v = -0.21 - o. What is the second smallest value in 1, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3958 is divided by 1314?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.007631516 to six decimal places.\nAnswer: 0.007632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2356301 + -2?\nAnswer: 2356266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 51 + -92. Let g = 42.2 + f. Let y = -5.2 + g. Which is the nearest to 0?  (a) y  (b) -0.5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 16 = 2*y. Let v = y - 6. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162659 is divided by 262?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*o + 7*o - 2*o)*((-2 + 0 + 0)*(1 - 3 + 4) + 2 + 1 - 1 - 60 + 18 - 13) to u + t*o and give t.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2082510, 4165020, 6247530?\nAnswer: 8330040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 + 3*s - 3. Suppose -20 = m + 4*m. Let o be n(m). Suppose 24 = 36*j - 28*j. Sort j, 4, o.\nAnswer: o, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooqoppqoqo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 5*l + 3 = -1, -2*k + 2*l = -4. Differentiate 2*v - 4*v - 1031*v**2 + 1033*v**k + 6*v - 15 wrt v.\nAnswer: 4*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -8  (b) -2  (c) 1  (d) -5  (e) 30119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1617\/(-196)*(-20)\/385?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/1*(0 - -5). Suppose 4*h + 0*h + 5*l + 2 = 0, 0 = -h + 5*l - 13. Put h, 0, i in decreasing order.\nAnswer: i, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:23 PM and 6:33 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 0 + (1 + 0 - 3)*(7 - 3 + 1))*(0 - 1 + 0)*(3*b - 2*b - 2*b).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w**3 - 4*w**2 - 6*w - 4. Let c be m(-5). Calculate the greatest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 - 7 - 6\/(-3). Let m(c) be the first derivative of 4*c**4 + 11*c**2\/2 + 11*c - 11. Let s(y) = -3*y**3 - 2*y - 2. Determine z*m(a) - 11*s(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 - 14*c**2 - 3*c - 276. Suppose -84 = -237*t + 242*t - 3*v, 2*v = 3*t + 51. What is w(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -76520 - -76523. Let v = 0.1 - -0.7. Let i = v + 0.2. Which is the third biggest value?  (a) h  (b) i  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-112)\/12*(21\/16)\/((-204)\/(-1632))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-739860)\/(-1180)*12\/(-57).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 141935.67 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 4*j = -0*o - 811, -3*o + 3*j = 816. Let u = o + 438. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, s: 3, p: 2, d: 1}. Give prob of picking 1 s and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of -b**9\/756 + b**6\/180 - b**3\/3 + 4. Let q(l) be the third derivative of m(l). What is the third derivative of q(w) wrt w?\nAnswer: -240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 - -20 - (12 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqhttchtqttqttthq. Give prob of sequence ttq.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 4*c - 28 = -u + 341 - 3, -40*u = -4*c - 408 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 666 + -651. Suppose -3*z = 0, 14*z + p = -3*f + 16*z. Let i = -5 - -1. Sort f, -2, i in ascending order.\nAnswer: f, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 27 - (1 + 2 + -1). Let w = 76 - n. Calculate the remainder when w is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 4*k - 23. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 (base 14) in base 7?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0, 5\/3, 10, -31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = y + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 56041 + -5?\nAnswer: 56035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -26) + -1074 + 1078?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 388.8335 - 389. Let z = 0.18324 + i. Let o = z - 0.0126. Round o to 4 decimal places.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19008 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 2*y**3 - 13*y**2 - 8*y - 5. Let b be c(7). Let i be (-10)\/(-15) + (-4)\/b. Solve -i = -2*t - 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2250)\/150*3\/(-50)*(-4)\/(-18).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -256 (base 8) to base 16\nAnswer: -ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/7)*s)\/s**(-2\/7))\/(s**(-4\/3)\/s**(1\/3))*((s\/s**(1\/3))**(-3\/26))**40 assuming s is positive.\nAnswer: s**(-73\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.19 and 3721.\nAnswer: 706.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 61.2, -2\/9, -0.6, 2\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of -953*u**9\/504 - u**5\/20 - u**3 + 3948*u**2. Find the third derivative of m(v) wrt v.\nAnswer: -114360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24476740 to the nearest 10000.\nAnswer: 24480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 284 and -80.\nAnswer: -22720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -85444966*w**3 + 27964096*w**2 wrt w?\nAnswer: -512669796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that x**5 - 34025*x**4 + 289272007*x**3 + 2605387801*x**2 + 6949334392*x + 4633252624 = 0.\nAnswer: -4, -1, 17017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.44?  (a) 4\/3  (b) -1  (c) -5  (d) -3\/28  (e) 4  (f) 550\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31198055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -33 - -5 - -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1724 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 526477900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4*-0.4382177\nAnswer: -1.7528708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1504057 to 3 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20290168 - -20289197.9569. Let h = s + 970. Round h to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13219205, -13219184, -13219163, -13219142?\nAnswer: -13219121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -105 minus 476123748?\nAnswer: -476123853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1444085 (base 11) to base 2.\nAnswer: -1001011101011010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h = h + 11*f - 9*f + 3, h - f = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -14*a. Let k(h) = 12408*h. Determine m(k(z)).\nAnswer: -173712*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 - 5. Let d be (-8)\/(-1) - (-1)\/(m\/9). Let w be (0 + d - 4) + 1. Calculate the greatest common divisor of w and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 1:28 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 2252655189 + 694\nAnswer: 2252655883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/590 and 59\/253422.\nAnswer: 74759490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.3 * 4507.\nAnswer: 10366.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 73299 and 59040?\nAnswer: 1442524320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*(-3)\/(-18))\/((-140)\/(-105))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 1)*(8*m**4 - 6*m**4 + 5*m**4) + 102632*m**2 - 102632*m**2 + 33*m**4 + 4*m**3.\nAnswer: 47*m**4 + 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3465659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/((-50)\/10)*3\/(-8).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 2 + -4 + 2*(sqrt(76) + -2 + sqrt(76))**2.\nAnswer: -32*sqrt(19) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/15, 8, 0.07, 53\/1553, 3\/7 in descending order.\nAnswer: 8, 3\/7, 0.07, 53\/1553, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 183 and 516.\nAnswer: 31476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -241 - 73*z**2 - 2358*z + 2382*z + 245 wrt z?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 54*l**3 - 22*l**2 - 5. Let u(t) = t**3 - t**2 - 1. Let w(p) = -g(p) + 5*u(p). What is the third derivative of w(k) wrt k?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 414 divide 3618506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-101)\/(-4)*-2*72\/36. Is -101 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -109 - -103 - 1886\/(-369)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, 13, 28, 55, 100, 169?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16 (base 11) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2625593897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (12 - -1) - -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145 = -1788*s + 1817*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**2 + k - 1. Let s(a) = -44*a**2 - 33*a + 33. Give -66*h(j) - 2*s(j).\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((3 + -3)\/(-3))\/(-1). Suppose -21 = -554*p + 547*p. Let f be (-49)\/(-4) - (-1)\/(-4). Solve -4*s + 2*v + 12 = -v, -3*s + p*v + f = h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of 52*v**2 - 28*v - 8. Let t be n(-2). Let w = 439 + t. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -18 + 4b?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 90557771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 76.65 - 77. Round a to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k**(-1)*k))**(-26))**(1\/31)\/((k*k\/((k*k**(-1))\/k))**(-2)*k**(-4\/7)*k*k\/(k*k\/((k*k\/k**(2\/3))\/k))) assuming k is positive.\nAnswer: k**(3515\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d. Let r be j(0). Let y(b) = b**3 - 10*b**2 + 10*b - 7. Let a be y(9). Let k = a - r. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 3*o + 3*d = -7, o - 4*d + 2 = 0. Suppose 0 - o = -u. Suppose 3*x - 2*g + 27 = -27, -u*x - 28 = -4*g. Round x to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -415211 + 3?\nAnswer: -415207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 386\/(-345)*3\/(-2). Let t = m - 11\/23. Let l = -14335\/6919 - 12\/629. Find the common denominator of l and t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 50 and 7325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -13*s - 6. Let v be o(-1). Factor 2*m**2 + v + 24*m - 12*m + 9.\nAnswer: 2*(m + 2)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 0, 3, 6, 9, 12?\n\"Answer: 3*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -2*h + 5*n, 59 = 5*h + n - 3*n. Let c be 2\/(-3) - h\/(-3). Solve c*b = 1 + 2, -5*b - 1 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-196)\/(-1470))\/(36\/20).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 27*p**5\/4 + 1215*p**4\/4 - 6903*p**3\/4 - 7703*p**2\/4 - 664*p - 75 = 0?\nAnswer: -50, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 2 = 3*s, 0 = -4*z + 4*s + 1 - 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 21\/370?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13782 and 27?\nAnswer: 124038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1333357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from yhkyynhxxth.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.122, -2, -4, 0, -22, 5 in descending order.\nAnswer: 5, 0.122, 0, -2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 153633, 307294, 460945, 614586, 768217?\n\"Answer: -5*h**2 + 153676*h - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*v = 178*v + 21*v + 158. Let u(d) = -77*d**3 - 6*d**2 + 6. Let q(y) = -y**3 - y**2 + 1. Calculate v*u(r) + 6*q(r).\nAnswer: 71*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of -n**5\/60 + n**4\/72 + n**3\/9 + 109*n**2 + 219*n. Let r(b) be the first derivative of y(b). Suppose r(o) = 0. What is o?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -209\/5  (b) 4  (c) 0  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(1*sqrt(1470) + sqrt(1470)) - 5*(sqrt(1470) + sqrt(1470)*-1))\/((sqrt(250) + sqrt(10))*-3 + (sqrt(1210) - sqrt(1210)*2)).\nAnswer: -56*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 9. Suppose r - 4*r + 156 = 0. Suppose 43*s = r*s - 108. Solve 2*c + 9 = i*p - c, -s = 2*p + 4*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*u + v, 4*u + 4 = 4*v - 0. Let x = -3 + 1. Sort u, 4, x.\nAnswer: x, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 206*q**2 - 807*q**2 + 195*q**2 + 3*q + 205*q**2 + 196*q**2 to o*q**2 + t + d*q and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4223 + 2*z**3 + 4223.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 165\/18 - (-1)\/(-6). Suppose -o = -0*r - r. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2437224902 + -0.05\nAnswer: 2437224901.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = -5*g - 20. Let p be (-18)\/g + 6\/(-12). Suppose -3*c + h = 4*h - 27, -p*h + 8 = 2*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -3. Let v = -28 + 37. What is the least common multiple of v and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 7 = 5. Find the third derivative of z*f**3 - 5*f**5 - 6*f**2 - 3*f**3 wrt f.\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -125328 divided by -4?\nAnswer: 31332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -11680*x + 3552*x - 12415*x as d + c*x and give c.\nAnswer: -20543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -476*q + 2505 - 21066 = -4417 + 21556 for q.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/1280 and 131\/1536?\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38750?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:26 PM and 12:50 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + f = l + 9, -20 = -4*f. Let q be (-177)\/66 - 1\/(22\/(-4)). What is the nearest to 1\/4 in q, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -829*d - 12927. Calculate l(-17).\nAnswer: 1166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 772556 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = 406 - 402 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*p + 3*p. Suppose 0*y - 29 = -3*i - 5*y, 14 = 2*i + p*y. Suppose -s - 6*d = -d - 15, -3*s - 6 = -2*d. Put -3, s, i in decreasing order.\nAnswer: i, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -32 + 29. Which is the nearest to -1?  (a) 4  (b) -0.3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 590 is divided by 60.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -47, -52, -59, -68, -79, -92, -107?\n\"Answer: -t**2 - 2*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -35370, -35378, -35398, -35436, -35498, -35590, -35718?\nAnswer: -35888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 9  (b) 4  (c) 7  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9455?\nAnswer: 5, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -5*v**2 + 3*v - 1. Let b(q) be the third derivative of 0*q - 7\/24*q**4 + 3*q**2 + 11\/60*q**5 + 1\/3*q**3 + 0. Determine 4*b(a) + 9*g(a).\nAnswer: -a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**3\/5 + 13548*d**2\/5 - 9268198*d\/5 - 56097348\/5 = 0. What is d?\nAnswer: -6, 779, 6001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-708)\/(-78) - (-6)\/39. Is i at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 76, 184, 384, 682, 1084, 1596?\nAnswer: 2224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -53 + 25 + 34 + -1 + -120\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 1 + 15. Let v = m - 9. Let d(l) = -l + 7. Let b be d(6). Solve 3*p = -b + v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from ydjwxjdgxggw.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = -4*y - 4*l, 213*y - 5*l = 210*y + 59. Is y > 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 41.5 - 41.5. Suppose -2*a + 5*a + m = -7, 5*a - 3*m = -21. What is the closest to 1 in l, 3, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.017 - -0.022. Let v = g - 0.0347. Round v to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, -54, -25, -0.5, 0.1, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-2))**(-2\/39)\/(m**0)**(-1\/29) assuming m is positive.\nAnswer: m**(2\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 74.23 + -1.23. Let o = -289 + 293. Which is the second biggest value?  (a) s  (b) o  (c) -1\/8  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -312*21\nAnswer: -6552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 86*p - 87*p + 2*s, 3*p - 4*s = 18 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5697)\/1477*(-133)\/114?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40 - 6 - -11) + (-4 - 6).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 863908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -0.1  (b) 1\/2  (c) 0.3  (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2022*a**3 + 2061*a**3 - 4073*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.05*-4.3.\nAnswer: -0.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) + sqrt(66)*1*-6 + sqrt(66))\/(-2*sqrt(18)\/sqrt(3) + sqrt(6)) + ((sqrt(1584) + -1 + sqrt(1584) + 2)*3)**2.\nAnswer: 436*sqrt(11) + 57033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.22 - -0.78. Suppose -2*k + 6*k + 6 = -3*g, -4 = 3*k + 2*g. What is the nearest to -0.2 in t, -0.1, k, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 850 greater than or equal to 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.11 in 18\/7, 4, 0.3, -4, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 - 9*l + 2. Let w be m(-9). Let j(u) = -6*u**3 - 2*u**2 + 1. Let b be j(-1). What is the highest common factor of b and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15803 (base 11) in base 2?\nAnswer: -101011011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -41 + 78. Let w = 53 - b. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*r = 38*r + 78. Calculate the highest common factor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -109885941 divided by -311?\nAnswer: 353331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k + 4. Suppose 0 = -3*q + 3*h - 3, q + 3 = 6*q + 3*h. Let i be j(q). Suppose -4*z - 6 = 2*f, 0 = z + 3*f - 1 - 10. Sort 1, i, z in ascending order.\nAnswer: z, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/9  (b) -12  (c) 0.1  (d) 5  (e) 954  (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-127)\/(23368\/(-3588)) - (-2 + 22).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-six fifths of a meter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(64) - ((1*sqrt(64) - sqrt(64))*-3 - sqrt(64)))\/((4*sqrt(144)\/sqrt(3))\/sqrt(6)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 2 t when four letters picked without replacement from wtwwwtwwwwwwwwt.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 9:57 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4347 + -4362?\nAnswer: -8720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + 13. Let x = 4 - -1. Suppose x = -3*q + v. Let o(r) = r**3 - 4*r**2 - 4*r - 5. Give o(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4480 and 7552.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 - 9*y**2 - 28*y + 233. Let v be q(19). Calculate the highest common factor of v and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.00034 - 7.87034. Let d = -0.63 + -0.1. Let z = h + d. What is z rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2898 rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**4*j*j**(-37) assuming j is positive.\nAnswer: j**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 66*s**2 + 158*s - 83*s + 3*s**2 - 87*s to o*s + l + u*s**2 and give u.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -1\/3, -1, 3, -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2048  (b) -0.11  (c) 2.7  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*g - 31*g = -17*g - 162 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15375773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -k - 100. Let d = k - -79. Put 0.3, d, 3\/8 in ascending order.\nAnswer: d, 0.3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2362431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*i + 27*i = -136*i + 1710 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 - -317?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 36 + 240*x**2 + 7 - 68*x**2 - 43 as r*x + f*x**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.6 and 713507?\nAnswer: 1141611.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 10*c**3 - c**2 + 2*c - 1. What is the remainder when (-676)\/(-28) - 56\/49 is divided by g(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**18\/(j*j**(-9)))**(2\/37) assuming j is positive.\nAnswer: j**(52\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-6) + (-2890)\/30 + -12. Find the common denominator of 2\/(-18)*(-138)\/(-11) and (-884)\/v + (-9 - -1).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -123, -509, -1151, -2049, -3203, -4613, -6279?\nAnswer: -8201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 129648 and 3426?\nAnswer: 74029008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5*1\/(-5)*4. Let j = 81 + -321\/4. What is the smallest value in -1, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*s**2 - 24*s**2 + 7*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((1748\/(-304))\/23)\/((-39)\/36)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -33)*(470\/(-15) + 31)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r**3 - 7*r**3 + 2*r**3 + (5*r - 4*r + 9*r)*(2 + 1 + 0)*(25*r**2 + 2*r**2 + 40*r**2) as z*r + a + l*r**2 + v*r**3 and give v.\nAnswer: 2008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 297 a factor of 770825922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (0 + 3 + 6*(sqrt(847) - (-1 + sqrt(847) + sqrt(847) + 2 + sqrt(847)) - (-1*sqrt(847) + -1)))*3)**2.\nAnswer: -4356*sqrt(7) + 274549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of h**3 + 1. Let n = -30 - -34. Let r(w) = -2*w + n*w + 0 + 0. Calculate d(r(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-9))\/(-4)*30\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -3\/1901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.304 - 0.135.\nAnswer: -0.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3048576920628 and 6.8.\nAnswer: 3048576920634.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 276717285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 407, 404, 401, 398?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -17*b**2 - 5*b + 3*b + 4*b + 18*b**2 - 6. Let r(m) = 2*m**2 + 33*m - 17. Let h be r(-17). Determine j(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -306569\/6 or -51095?\nAnswer: -306569\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 PM and 11:32 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29 - 45 + 37)*(0 + 0 - z**2)*(91*z - 56*z + 91*z).\nAnswer: 4662*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(2\/23)*q*q\/q**3*q*q*q*(q*q**(-1))**(-2\/19)*q**(-1)*q*q**0*(q**(1\/4)*q)\/q**(-5) assuming q is positive.\nAnswer: q**(767\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 3*r + 2. Let u(b) be the first derivative of 5*b**4\/24 + b**3\/2 - b**2\/2 + 1. Let j(p) be the second derivative of u(p). Give 4*j(s) - 7*n(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, -14.983, 2?\nAnswer: -14.983","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-27)\/(-15))\/((-9564)\/462260)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -22 - -54. Suppose -n - g = n. What is the remainder when n*((1 - 2) + -1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -616, -1247, -1964, -2809, -3824, -5051, -6532, -8309?\n\"Answer: -7*w**3 - w**2 - 579*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x + 6 + x - 8*x - x. Let z(t) = -60*t + 35. Let r(o) = -25*f(o) + 4*z(o). List the prime factors of r(4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*x + 3*x - 2*x)*(176 + 181 - 305)*(-3 + 4 - 2) in the form n + b*x and give b.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14\/2061 + 280198\/14427. Put 4, -3, t in descending order.\nAnswer: t, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-1))\/((-42)\/70).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y - 310 + 8*y**2 + 98 + 106 + 106 in the form a*y + t + j*y**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of 3 + 1\/4*d**4 + 0*d + 0*d**2 - 1\/3*d**3. Factor s(c).\nAnswer: c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 71409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7562 = 1758*y - 187576 for y.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6175, 12357, 18539, 24721, 30903?\n\"Answer: 6182*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3, 0.12, -2, -3, 60184, -4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 23406045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 136160 (base 7) to base 8.\nAnswer: 63057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -4*s**3 + 4*s**2 + 92. Give d(0).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r**5\/2 + 3*r**4\/2 + 23*r**3\/2 + 33*r**2\/2 + 7*r = 0. Calculate r.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 + 10014*b + 2412443. Calculate h(-247).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 6 = -3*l, -l + 5*z - 4 = l. Is (l - -1)\/(2\/(-118)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.3 or -1283.3?\nAnswer: -1283.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/(9600\/(-8)) + (-2540)\/(-104400).\nAnswer: 2\/261","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r\/((r**(2\/7)*r)\/r*r))))\/(((r**(-1\/3)\/r)\/r)\/r))\/((r*r**(-1))\/r)**20 assuming r is positive.\nAnswer: r**(484\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - h**4 + 0)*(-3 + 2 + 2)*(0 + 4 + 2) + 49*h**4 + 6*h**2 + 36*h**4 - 66*h**4 as j*h + t + c*h**3 + i*h**2 + z*h**4 and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 378678272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**2\/9 - 96664*t\/9 + 774464 = 0.\nAnswer: -48404, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*p + 6 - 17. Let f(u) = 5410*u**2 + 3*u. Is f(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 10771, 10757, 10733, 10693, 10631, 10541, 10417, 10253?\n\"Answer: -t**3 + t**2 - 10*t + 10781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 678522.\nAnswer: 2, 3, 13, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 3 = g + 13 - 1, 3*g - 28*s = -43 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + -6 + 4 + -2 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 18*o**3 - 5*o**2 - 3*o + 12. Let u(i) = -16*i**3 + 4*i**2 + 2*i - 11. Give -4*n(s) - 5*u(s).\nAnswer: 8*s**3 + 2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -54*i**2 - 13*i + 58. Give a(-7).\nAnswer: -2497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 5420703?\nAnswer: -27103515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 57*z - 514. Calculate h(10).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 17*o**5 - 6858*o**4 + 736245*o**3 - 9021564*o**2 + 34559460*o - 32853600 = 0?\nAnswer: 24\/17, 6, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (26\/(-8) + 2)\/((-40)\/160). Suppose 0 = 3*w + 9, -9*m = -8*m + y*w + 3. Calculate the lowest common multiple of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -45 + 41. Let v(b) = b**3 + 4*b**2 + 9. Let u be v(w). Let r = 16 - u. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -31*i**3 - i**2 + 1. Let m be (-3)\/(-2)*6\/(-9). Is l(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3*22\/(-18) + (-6)\/9. Suppose 190 = l*u - 20. What is the smallest common multiple of u and 8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 - (16 - -10) - -16) + 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*b - 18*b + 55*b + 5*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + 10*n)*(9*n - 19*n + 12*n**2 + 12*n) as x*n**3 + c*n + z*n**2 + j and give x.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 253801996 is divided by 950.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(-3)\/(-3)*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 3*n - 42. Determine s(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 428835 (base 13) to base 4.\nAnswer: 11331022302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:31 AM and 2:18 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 + 9*g**2 + 15*g + 6. Is l(-6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8435 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26 + -22. Suppose 23*m - 25*m - k = 0. Put 2, m, -1, 1 in increasing order.\nAnswer: m, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 - (100 - 88 - (1 + 23)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10619 divided by 4\nAnswer: -10619\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -449 divided by 2?\nAnswer: -449\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xbiikxibbookxr. What is prob of sequence bboi?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = f + 3*f + 26, -d - 5*f = 8. Let i(p) = -13*p + 24. Let q be i(d). Let r = 71 + q. Calculate the highest common factor of r and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 501 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 296 + -295. Let n(r) = 3*r**3 - 2*r**2 - 2*r + 3. Let u be n(b). Solve -8 = 4*p + u*g, p + g + 10 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -0.1, 5, 1\/228 in ascending order.\nAnswer: -0.1, 1\/228, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 947*x - 10416. Let p be y(11). Which is the closest to 19.5?  (a) 1\/4  (b) -2\/13  (c) -5  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 210*f + 1305. What is the hundreds digit of r(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 74*n**2 + 62*n**2 + 121*n**2 - 217*n**2 + 65*n**2 - 70*n in the form i*n**2 + o*n + x and give i.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10)\/(-19)*(-1710)\/(-180). Solve 3*l = -p*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 3*t = w - 930, -5*t = -3*w + 962. Let n = w + -5629\/18. What is the common denominator of 73\/36 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 0, -1, 1, -3, -4 in descending order.\nAnswer: 8, 1, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 12217 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = -3*a + 37, 0 = -21*o - 1246*a + 1243*a - 285 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3432743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -10.5, -2 in decreasing order.\nAnswer: 3, -2, -10.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 415 minutes before 8:39 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 4*x + 87, -5*n + 53 = -2*x - 28. Let t be -15 + 14 + (14\/(-217) - (-2669)\/527). Solve 9*v - t*v = -n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 206*h**2 + 129*h - 6645. Determine o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 557593 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -9*q**5\/7 - 120*q**4\/7 + 363*q**3\/7 - 330*q**2\/7 + 96*q\/7 = 0.\nAnswer: -16, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 136 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*v + y, -25 = -5*v - 0*v + 2*y. Calculate the lowest common multiple of 11 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2*i - 15 = 4*q, 0 = -3*q - 5*i - 15. Let j = q + 12. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 3*v + 2 + 8, -2*j = 3*v - 20. Suppose -5*z + 25 = 3*c, -2*c + 4*z - j = 10. Solve 0 = -4*b + h + 11, c = -5*b - 5*h - 0*h + 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 253 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1184?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 449 + -141. What is the greatest common factor of p and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**1)**45*s**(-1\/6)\/((s**(3\/8)\/s*s)\/s*s*s*s) assuming s is positive.\nAnswer: s**(1019\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 23033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1173367\/55 + -21333. What is the common denominator of 20\/363 and i?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1269, 1919, 1957, 1383, 197?\nAnswer: -1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 8*q. Let s = 0 + 1. Let x be y(s). Let t(v) = -2*v**3 + 7*v**2 - 3*v + 1. Let o be t(3). Calculate the greatest common factor of x and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*g - 27, -2*x + 12007*g - 12011*g - 48 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fgx when three letters picked without replacement from {v: 2, g: 3, x: 1, d: 2, s: 1, f: 3}.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3971  (b) 0.1  (c) -4  (d) -5  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*r + r - 3*b, -2*r - 5*b - 8 = 0. Let n(t) = -t**3 - 4*t**2 - 5*t - 8. Let c be n(r). Is 73\/6 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5416719.104 to the nearest 100000.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*h - 45*h + 14*h**2 + 91*h - 131*h**2.\nAnswer: -117*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t**2 - 8*t - 30*t**3 + 7 + 5*t + 2*t + 28*t**3 to the form l*t + w + q*t**2 + m*t**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 19523*g - g**3 + g**3 - g**3 - 8 - 19553*g as v*g**2 + y*g**3 + b*g + a and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -49 - 12. Let w = p - -64.3. What is w rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00087626 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -3*g**2. Let f(p) = 5*p. Let j(b) = 0*b - 4*b - 10*b. Let o(x) = -11*f(x) - 4*j(x). Calculate s(o(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -3*d**2 + 7. Let u(p) = -576*p**2 + 579*p**2 + 1 - 1. Give u(i(q)).\nAnswer: 27*q**4 - 126*q**2 + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74868 divided by -6.\nAnswer: -12478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 23143 (base 14) in base 13?\nAnswer: 2cab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 940721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + h = -3*h + 8, 4*h - 4 = 4*f. Let g be 8\/8 - (-2 - -1). Differentiate f*c**g - 9*c**2 + 1 - 2 - 1 wrt c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/17903760 and -191\/2237970?\nAnswer: 17903760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-225 - 854 - 1397)*(0*h - 4*h + 6*h) + 2*h - 2 + 2 + (-2 - 1 + 4)*(-2*h + 4*h - h) as p*h + z and give p.\nAnswer: -4949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139*x**2 + 141*x**2 - 11*x**2.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3654457.\nAnswer: 3654457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 4 - 1 = 0. Suppose -f - f - 12 = 5*t, 24 = f - i*t. Suppose 3*m - 41 = -4*a + 34, -4*m = -f*a - 128. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + 4*x - 2*x)*(-3 + 3 - 2*x**3) - x**4 + 5*x**4 - 17*x**4 + 2*x**4 + 3*x**4 - 2*x**4.\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25832 and 664.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, x: 17}. Give prob of picking 2 x.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -1 + r**2 + 6 + 6*r**4 - r**4 - 11*r**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -0.3  (c) 173  (d) -689\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (30\/8)\/(7\/56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16 - -23. Find b, given that w*b**2 - 3*b**3 + 0*b**2 - 3*b**2 + b**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9255136 divided by -44\nAnswer: 210344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 + y**2 + y + 1. Let l(v) = 11*v**3 + 11*v**2 + 6*v + 6. Let f(r) = l(r) - 6*o(r). Determine z, given that f(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -3*t**2 + 2*t + 1. Let j(i) be the third derivative of -i**5\/15 + i**4\/12 + 5514*i**2. What is 3*a(u) - 2*j(u)?\nAnswer: -u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11742945 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5781201, 11562432, 17343665, 23124900, 28906137, 34687376, 40468617?\n\"Answer: p**2 + 5781228*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -p + 4*p, 4*p - 54 = -b. What is the greatest common divisor of 112 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2616, 5715, 8814, 11913?\nAnswer: 15012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cnbbochtonnnhn. What is prob of sequence onnn?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 85776.11 rounded to the nearest 1000?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -605 = 122*r - 167 + 1026 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**0)\/u*u)\/u)**(3\/13)*u**(-1\/2)*u\/(u\/(u\/(u*u*u\/(u*u**7)))) assuming u is positive.\nAnswer: u**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (4 + -1 - 3) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -4. What is the units digit of 7 - ((z - 4) + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 AM and 3:32 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1018 + -608. Calculate the highest common factor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z - 5*z + z)*(3 + 0 - 1) + ((1 + 3 - 2)*(1 + 2 - 4) + (-1 - 3 + 2)*(32 + 38 - 17))*(-z - 2*z + 4*z).\nAnswer: -110*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3746433?\nAnswer: 3, 73, 17107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6, 7, 10, 15, 22?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2720 divided by -680.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + (65 - (0 - -4)). Suppose y - w - 2 = 0. Does 31 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 80460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1344785696?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 4:17 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -5*((sqrt(240) + (sqrt(240) - 6*-2*sqrt(240)))\/sqrt(12) - (0 + ((-2*sqrt(220) - sqrt(220)) + sqrt(220) - sqrt(220))\/sqrt(11))))**2.\nAnswer: -1700*sqrt(5) + 144525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1044 and 284?\nAnswer: 74124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/1 + 4\/2. Let d = 2 + u. Let a be (d + 1)*5\/1. Solve -a*p - 3*z - 10 = 0, p - z + 10 = -0*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -5*h - 18, -16 = -4*p + 6*p + 5*h. What is the lowest common multiple of 61 and p?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 3*v = -h + 349, -2*v - 324 = -h. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 242193 + 42*o - 242193 + 280*o**4 + 3*o**2 - o**5 wrt o?\nAnswer: -60*o**2 + 6720*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3*1\/10)\/((-777)\/(-1036)). What is the second biggest value in v, -2, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6079 + -5823.9. Let c = -268.0949 - -0.0949. Let p = c + i. What is p rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-89 - -131) + -108 + 84.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 486*h - 157*h - 987 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 + 4. Let y(s) be the third derivative of s**4\/12 - 5*s**2. Let d(t) = t. Calculate n*y(o) + 10*d(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -62 * 6.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1316 + 3225 - 184)*(-4*l**3 + 0*l**3 + 2*l**3).\nAnswer: -8714*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 141158 divided by 9?\nAnswer: 141158\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 162 = -0*a - 4*w, -2 = w. What is the common denominator of 36\/7 and a\/21*27\/12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -42323, -84181, -126039, -167897, -209755, -251613?\n\"Answer: -41858*z - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -27.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in -319, 197, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/295 and (-3 - (-43)\/11)\/((-533)\/52 - -10)?\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1590 + -1585. Let d(l) = -54 + 94*l - 82 + 12*l**3 + 106*l - 92*l**2. Let y(z) = 8*z**3 - 61*z**2 + 133*z - 91. Let b(s) = o*d(s) - 8*y(s). Factor b(n).\nAnswer: -4*(n - 3)*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -5*o - 4*i - 4, 0 = 2*o - 2*i - 4. Let b be (-2)\/(-4) - o\/2. Let s(k) = k**2 + 2*k - 12. Let h be s(-6). Solve 2*r = 5*y - 18 + b, h = 4*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10 - 0)\/(3 + -5). Suppose b - 4*p = 5*b - 4, -y*p = -25. Let u = b - -9. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a day in hours?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 - q**2 + 7*q - 1. Let i be z(6). What is the greatest common divisor of i and 260?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/3 or 0.73?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7254, 0, -1 in decreasing order.\nAnswer: 0, -1\/7254, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 3323416938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 1 - (0 + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, 287, -13.\nAnswer: -13, 3, 4, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 49\/72 - (-8)\/(-12). Let o(g) be the second derivative of -1\/12*g**2 + 0 - 4*g - t*g**4 - 1\/18*g**3. Find m, given that o(m) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 134, 144, 170, 218, 294, 404, 554, 750?\n\"Answer: o**3 + 2*o**2 - 3*o + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 - 2*p + 20. Suppose -3*l + 2*f - 8 = 0, -4*f + 12 = 3*l - f. List the prime factors of g(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 381*o - 3049. Calculate x(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 360578.\nAnswer: 2, 180289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fourty-three halves of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 15 = 0, 0 = 2*x + 5*m - 10 - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1 + -7 - (-226)\/38)\/((-18)\/363) and -9\/14?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -30 - -31.7. Let d = -1.66 + g. Let j = d + -0.0400023. What is j rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/11, 50, -1.2 in descending order.\nAnswer: 50, -3\/11, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + -52 + 23 + 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-15)\/25)\/(2\/(-10)). Suppose 0 = -3*d + 2*l + 16, 0 = -d + n*l + 14 + 3. Solve 3 = d*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/3*(5 - -4). Let k be 8*(q\/(-2))\/3. Suppose 4*n + k*a = -a + 81, -5*n - a + 117 = 0. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*h - 2*k - 0 - 11, -49706*k + 49704*k = -2*h + 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 808?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5313284240733 from 4.\nAnswer: -5313284240729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 810 = -0*n - 5*n, -2*d - 2*n = 556. What are the prime factors of d\/(-20) + 3 - (-1)\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.7071 rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2110\/(-2532)*(1 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -57 - -62. Which is the closest to 1?  (a) 1  (b) z  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1159)\/4 + 4\/16)*(-160)\/(-120). Which is the second smallest value?  (a) 0.5  (b) q  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 7 = 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10602 and 682.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2*(732\/(-13420))\/((-6)\/11). Let u = 0.09 - -0.11. What is the closest to u in -2, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = g + 6*z - 2282, -z = 4*g - 9128. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10456*k**2 - 3*k**3 + 1 - 3*k**3 - 10447*k**2 - 4*k**4 + 4*k to the form m + n*k**3 + v*k + y*k**4 + r*k**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x - 30*x + 11*x + (5 + 27 - 14)*(4*x - x + 0*x))*(34*x - x**2 - 34*x).\nAnswer: -39*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -3\/5  (c) 368  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 310 > -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 1:01 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4266838 is divided by 120.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -325070, -650125, -975180, -1300235?\n\"Answer: -325055*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 6:02 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -350 - 854*d + 692 - 341 as q*d + v and give q.\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/3)\/(4\/(-600)). Suppose 0 = x + 18 + 10. Let y = x + t. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.5 - 1.4. Let o be ((-2)\/4)\/((-5)\/15). Which is the closest to -1?  (a) o  (b) r  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - 2)*(-1 + 0 + 2 + 4*i) to u*i + n and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do -1090 and 0.074 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 41 = 2*x + 199, 3*x = 5*m - 240. Suppose a - 7 - 5 = 0. Calculate the highest common divisor of a and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**2 - 66*f - 642. What is r(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1925.153 - -1926. Let u = -0.157 + x. What is u rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7913 is divided by 1577.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -11022120211210 (base 3) in base 12?\nAnswer: -927bb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 651979119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4114191027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**2\/2 - 2820*b - 538083\/2.\nAnswer: 3*(b - 1971)*(b + 91)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 26195802.3s?\nAnswer: 303.19215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 - 166*d**2 - 123 - 39 + 204.\nAnswer: -166*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -6*d**3 - 6*d**2 - 6*d - 1. Let u be f(-4). Let n = 401 - 206. Let c = u - n. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 4\/11  (c) 4436\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -851292*i**4*n**2 - i**2*n**2 + 182*i**2 - 5*i - n**2 + 1 wrt i.\nAnswer: -20431008*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**2 + 15*a + 14. Let l be y(15). Let q(i) = i - 12. Let o be q(l). Let b = -14 + 19. Solve 4*z = b*f - 9, -3*f + 31 = -o*z + 6*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6500 is divided by 541.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3084435 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 334 + -57. Suppose 267*g = p*g. Solve 6*c - 10 + 4 = g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/(-1))\/((-30)\/(-4)). Let s be 196\/(-5) + 6\/30. Let o be s\/(-45) - (-1)\/(-5). What is the nearest to o in b, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of u**4 - 56*u**3\/3 + 48*u**2 - 1561. Suppose c(o) = 0. What is o?\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -9. Let q be (7\/35)\/(m\/3). Let z be (-252)\/108*(-4)\/70. Which is the smallest value?  (a) q  (b) z  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 58 + -56. Let u(w) be the first derivative of -2 + 3\/2*w**r - w. Differentiate u(j) with respect to j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -u**4*y**2 + 277*u**3*y**2 + 254*u**3 - 1006491*u**2*y**2 - 4*u**2 wrt u?\nAnswer: -24*u*y**2 + 1662*y**2 + 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 1296258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77310*b - 6154 = 77462*b + 382 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-14 - -28) + -13 - -5241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 3*z - 5*y, 48 = 3*z - 3*y + 5*y. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 103947*z + 1351288. Give m(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5\/6  (b) -10  (c) 35  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 - 20*f**2 + 97*f + 23. Calculate b(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -21619486*m**3*z - 15*m**3 + 1325 wrt z?\nAnswer: -21619486*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29781107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*v**2*w**3 - 452*v**2*w**2 + 331*v*w**3 wrt v?\nAnswer: 6*w**3 - 904*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -18834543 divided by -49959\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 41*g - 1344 = -20*g for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 4*o + 2. Suppose u + 13 = 2*b, -4*u + 2 = o*b + 4. Let h be (1*-6)\/u - -2. Solve w - 2*w = h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4006863 by 3.\nAnswer: -1335621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 2*v + 2*g - 20, 0 = -4*v - 3*g + 50. Suppose 0 = -3*j + 2*m + 34, 2*j + 0*m - v = -3*m. What is the remainder when 29 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -21*(-3)\/(-2 + ((-6)\/90 - 676\/(-195)))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y + 4 = m + 9, -y - 2 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 2)*(599*q**3 - 16*q + 1 + 17*q - 6*q**2 - 596*q**3).\nAnswer: -6*q**3 + 12*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 - 7*r + 6. Let p be t(6). Sort p, 12, -1.\nAnswer: -1, p, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-208)\/6)\/26)\/(((-1)\/(-12))\/(1581\/496))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of 2*p**7\/1575 - p**6\/900 - p**5\/450 + 13*p**2 - 212*p. Let n(y) be the first derivative of a(y). Factor n(w).\nAnswer: 2*w**2*(w - 1)*(2*w + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y**(-9)*y)\/y)\/(y**0*y))\/(y**(-1)*y)**35)**(11\/3) assuming y is positive.\nAnswer: y**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 14366768, 28733540, 43100312, 57467084, 71833856?\n\"Answer: 14366772*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 69\/(-23)*(-80)\/(-96)*102\/15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1 and 15665617.\nAnswer: 15665617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 815149813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.8?  (a) -5  (b) -0.1  (c) -9  (d) 1\/4  (e) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175*z - 174*z + 4*p + 17 = 0, 3*z = -3*p - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -349914 divided by -3.\nAnswer: 116638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.008 - 6.192. Let y = s - -1.7. Is 2\/5 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -4 + 3 + (-1 + sqrt(153) + -5 - ((sqrt(153) + -1 + sqrt(153) - sqrt(153) - sqrt(153)) + 2)))**2.\nAnswer: -66*sqrt(17) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/449 > 22\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 248*s**3 - 4 - 8 + 61*s**3 + 12 as v*s + f + w*s**3 + h*s**2 and give w.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jl when two letters picked without replacement from {l: 2, j: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 7*a. Let n(r) = -9*r - 4*r + 13*r - 15*r - 7*r. Determine s(n(g)).\nAnswer: -154*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17)\/(1190\/(-336))*15\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -463*y**2 - y**3 + 463*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 51 + 537 = 0. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 + 9*g**2 - 11*g - 12. Let b be j(-10). Let d = 4 + b. Suppose 3*v + 6*s - 3*s = 0, 0 = -5*v + d*s + 14. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b - 28 - 27 = 0. Let r(g) = -9 - 4 - g + 3. Let n be r(-7). Sort 4, b, n in increasing order.\nAnswer: b, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 597*u**2 + 4 - 447*u + 447*u.\nAnswer: 597*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/3*(-1)\/(5\/15). Which is the second smallest value?  (a) r  (b) 0  (c) 2\/5  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 53 - 58.6. Let a = 6 + k. Let b = a + -0.3965. What is b rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -317024 (base 8) to base 2\nAnswer: -11001111000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/7, -1.3, -169, 0.3, -4?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 3*t = 5*v + 40, 0 = -3*t - 4*v - 31 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l. Let g(u) = -163*u - 810653. Calculate i(g(b)).\nAnswer: 163*b + 810653","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -261 - -419. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2958 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-11)\/((-33)\/9))\/(21\/(-2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1573)*3 + -2 - (2 + 2 + sqrt(1573) - sqrt(1573)))**2.\nAnswer: -396*sqrt(13) + 14193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -7.8 * -309658\nAnswer: 2415332.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1530888335 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.5 and -717?\nAnswer: 716.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from {x: 1, m: 1, o: 1, r: 1, h: 2, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 52 or 4226\/83?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23\/69*(-18)\/(-16).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -551961822 minus 78.708?\nAnswer: -551961900.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 18008276 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 2 + 18. Sort m, -3, -1, -12 in descending order.\nAnswer: -1, -3, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(2 + (3\/2 - 37\/(1110\/135)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 1939, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -23 (base 6) to base 7\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 16 - (-4 - (-4 + 0)). Suppose 3*t = y + 47. Let w = -16 + t. Solve -f = -w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31 (base 13) to base 11\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the first derivative of -y**9\/252 - 11*y**6\/360 + 10*y**3\/3 - 6. Let n(r) be the third derivative of c(r). Find the third derivative of n(a) wrt a.\nAnswer: -720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4537336.\nAnswer: 2, 59, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3517476, -3517452, -3517412, -3517356, -3517284, -3517196?\nAnswer: -3517092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 444 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**3 + 7*k**2 + 7*k - 4. Let m be x(-6). Let n = -4 - m. Let s = n + -4. Which is the biggest value?  (a) s  (b) 0.1  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 0.039843\nAnswer: 0.0039843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 335*g - 35587. What is b(107)?\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2767*n = -1059*n - 2244*n - 194240 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -615 times 3?\nAnswer: -1845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 135368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 e when three letters picked without replacement from cceksceckccc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 54, 141, 316, 609?\nAnswer: 1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, d: 1, x: 1, e: 1, s: 3}. What is prob of sequence ssoe?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (120\/18)\/(-5)*9\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, y: 6, i: 4, r: 1, h: 4}. Give prob of sequence hd.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 398.99 take away 66393485?\nAnswer: -66393086.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 164.5 - 57\nAnswer: 107.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 682*(-927)\/191580*25*2\/6.\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -231 divided by 21\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**3 + 0*b**3 - b**3)*(3*b + 2*b - 3*b)*(23*b + 17*b - 6*b).\nAnswer: -136*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1084 is divided by 630?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + ((0 + sqrt(99))*-6 - sqrt(99) - 6*1*sqrt(99)) - -4*(-1 + (sqrt(99) + 1)*-5))**2.\nAnswer: 4554*sqrt(11) + 108340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 249748, 249747, 249746?\nAnswer: 249745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = -7*q - 5*x + 25, -6*q + 42 = 4*x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the second derivative of -2117*j**4\/12 + 152*j**3\/3 - 853*j. What is the second derivative of d(p) wrt p?\nAnswer: -4234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2415, 2408, 2379, 2316, 2207?\n\"Answer: -2*k**3 + k**2 + 4*k + 2412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**3 + 22*k**2 + 48*k + 483. Let a be o(-10). Solve a*q - 167*q = -72 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/3 + 311177*d\/3 + 311174.\nAnswer: (d + 3)*(d + 311174)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 277211198353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 42639\/(-27) + 2\/9. Let k = -2855 - f. Let m = k + 2129. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 - -1 - (157 + -122)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 75365070 to the nearest integer?\nAnswer: 8681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2394195 - 1051195. Round s to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 3 p when four letters picked without replacement from pppprrrrgp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.14 not equal to 691524.62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/457469 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14672 and 245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/9)\/a**2)**(-2\/5) assuming a is positive.\nAnswer: a**(32\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 94796258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - 6. Suppose -4*k - r*n - n + 14 = 0, 5*k - 2*n - 6 = 0. Let t = 4 - k. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 41 = u + u, -3*p + 5*u + 6 = 0. Let h = 5 + p. What is the lowest common multiple of (125 - 116)*(30\/(-6) + 8)\/3 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 6) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1112 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5632822427 to the nearest integer?\nAnswer: 75052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4622*h**3 - h - 9098*h**3 + 4555*h**3 - 5*h**2 to z*h**3 + s*h**2 + p + q*h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n + 7. Let k be i(-8). Let a be 6\/2 + (k - -4). Let w = 9 + -5. Solve -w*f + a = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-61 - -7) + -6 - (41 + (-64 - -30))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1, -10, -0.076?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 7*x**2 - x + 13. Let c(o) = -5*o**2 + o - 11. Let y(t) = 4*c(t) + 3*z(t). Let u be 45\/(-10) - (-3)\/6. What is y(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k\/k**(-5))\/k**(-7))\/((k*k*k**(-7)*k*k)\/(k\/(k**(-7\/6)*k))))**(-27))**(-4\/5) assuming k is positive.\nAnswer: k**(1854\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -38, -53, -84, -137, -218, -333, -488, -689?\n\"Answer: -t**3 - 2*t**2 - 2*t - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4144239 rounded to the nearest one thousand?\nAnswer: -4144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -9244*v + 184896. Give w(20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d + 2*d**5 + d + (4*d**3 - 4*d**3 - d**4)*(d - 4*d + 5*d) - d + d**2 + 4*d**5 - 8*d**5 + 4263 - 4265.\nAnswer: -4*d**5 + d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 1\/1989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -98*a**2*t**2 - 3*a*t + 55*t**2 wrt a.\nAnswer: -196*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(133)*4*1*-2)\/(sqrt(63)\/(sqrt(81)\/(sqrt(9) - (sqrt(9) + -1*sqrt(9))) + sqrt(9))*-1).\nAnswer: -80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -230 times -68.33?\nAnswer: 15715.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 191730 and 22940.\nAnswer: 439828620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 + 8*n**2 + 2*n + 10. Let m be k(-8). Calculate the remainder when (4 + (m - -11))\/(1 - 0) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 19 = c. Let q(k) = -10*k. Let a be q(2). Let f = a + c. 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 closest to -0.05279?  (a) -2  (b) 0.1  (c) 0.3  (d) 7  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 27 = 3*a - 0*a, 22 = -4*x - 2*a. Sort -2, 2, 3, x in descending order.\nAnswer: 3, 2, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (3 + 1 + 1 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5427 and 12596.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -77*q - 38. Let o = 1.1 + -0.1. Which is the closest to q?  (a) o  (b) -6  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*t - 453 + 245. Solve -3*y - 8 = 4*h - y, -5*y = h - t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0122529331 to five decimal places.\nAnswer: -0.01225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of d**4\/4 + d**3\/2 - d**2 + 6*d - 1. Let x be (16\/12)\/((-2)\/(-3)). Is w(x) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 46168 and 4151538.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**4 - 872*k**3 - 4398*k**2 - 5292*k.\nAnswer: 2*k*(k - 441)*(k + 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -216, 942, -6.1 in descending order.\nAnswer: 942, -6.1, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, q: 1, j: 1, z: 1, l: 1}. What is prob of sequence dz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + j = -775 + 777, -2*a + 8 = j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25 and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4499, -20470, -47087, -84350, -132259?\n\"Answer: -5323*r**2 - 2*r + 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10551*h*t**2 + 2*h*t + 38*h + t**2 + 50260*t wrt h.\nAnswer: -10551*t**2 + 2*t + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - ((-30 - -17) + 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1b (base 15) to base 5\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 - (1 + -8 + 3). Suppose -4*g - 9 = -g, -g + 22 = 5*i. Calculate the greatest common divisor of i and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 236*o**3 - 225*o**2.\nAnswer: 1416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190) - sqrt(190)*2 - sqrt(190))*-3 - sqrt(190))\/(sqrt(10) + sqrt(10) + (sqrt(80)\/sqrt(4))\/sqrt(2)) + -1.\nAnswer: -1 + 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (6156\/(-48)*(-68)\/(-255))\/(3\/(-10)) and ((-2)\/4)\/((-2)\/56).\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 545 = 46*c + 407 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -444384, -444327, -444274, -444225?\nAnswer: -444180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 14218 = 3*t + 1242. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = -5*k + 5, -3*k - 3 = 3*q - 0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u - 5*u + 5*u)*(-u + u + 2*u) + (-12 - 22*u + 12)*(-3*u - 2*u - u).\nAnswer: 136*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s**2 - 134*s + 134*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/7 + -7 + (-6)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -3*k**2 - 12 + 4*k**2 - 4*k**3 + 82 + 2*k + 5*k**3. Is i(0) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y**2 - 344529 - y + 2*y**2 + 2*y.\nAnswer: -2*y**2 + y - 344529","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23 and 325833479?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -50*h**2 - 2*h - 6. Let f(j) = -41*j**2 - 4*j - 5. Let s(y) = 6*f(y) - 5*t(y). Let o(i) = -9*i. What is s(o(q))?\nAnswer: 324*q**2 + 126*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of p**5\/20 - 17*p**4\/12 + p**3\/6 + 19*p**2\/2 - 23*p. What are the prime factors of r(17)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -3*s + 5. Give f(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 503016 * 5.\nAnswer: 2515080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m - 9. Let g be q(-4). Let c(v) = -v**3 - 12*v**2 + 8*v - 14. Calculate c(g).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*l + 295*l + 2*l**2 - 159*l - l**2.\nAnswer: l**2 + 84*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14802?\nAnswer: 2, 3, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 726398 = 131*v + 730721 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-620178*i + 7*i**4 + i**2 + 620178*i)*(2 - 4 + 1)*(-3 - 1 + 2) as u*i**3 + g*i**2 + n*i + h*i**4 + m and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 3*q + 33 = 0, -5*f - 46*q + 50*q = -44. Let l be 4*(2\/(-4) + 1). Let r be 2 + -2 + l - -3. Put -8, f, r in ascending order.\nAnswer: -8, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13.2 + -1.2. Let u = h + -16. Which is the second smallest value?  (a) -2\/7  (b) u  (c) 1\/8  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 2*r**3 + 2 + 0*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 185, 1251, 4115, 9677, 18837, 32495?\n\"Answer: 150*g**3 - g**2 + 19*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 20\/20993 and 25\/41986?\nAnswer: 41986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -54  (c) -0.08  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - 0. Suppose 8 = i*b - 0*b, 0 = c + 2*b - 57. Suppose 0 = -4*m + 5 + 23. Calculate the greatest common factor of c and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f - 13*f - 10 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 84788 and 84788.\nAnswer: 84788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 + 2*l + 9. Let w(i) = -2*i**2 + 3*i + 10. Let k(y) = 3*o(y) - 2*w(y). Find the first derivative of k(r) wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -2*sqrt(112)*-3.\nAnswer: 3 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.3, -3\/5, 0.00982?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y, 1 c, and 1 z when four letters picked without replacement from czuyyzgpzuzyyyu.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -330*k + 17203. What is o(52)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/5 < 52370.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2087605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/35)\/l)**(8\/11) assuming l is positive.\nAnswer: l**(-24\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11160*k = -330022 - 32329 - 240289 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10255, 20508, 30761, 41014?\nAnswer: 51267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 156447499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -85 - -88. Solve i + 0 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - r - 2*d = 6, -d = 3*r + 3. Let n = -2.6 - 10.4. Let u = n - -13.3. What is the closest to 2\/3 in u, 4, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 468824 and 8744.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 - 10. Suppose -4*b - 53 = -g*w, -5 = -w - 3*b - 2*b. Let s = w + -4. What is the greatest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g**2\/4 + 500*g - 1995\/4 = 0 for g.\nAnswer: 1, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of -y**5\/20 + 2*y**3 + 58*y**2 + 2*y. Solve h(s) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59620 + 39156 = 2613*p + 94508 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 2 y, and 1 e when four letters picked without replacement from {g: 1, l: 1, y: 4, v: 2, e: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29 - 9. Let l = m - 20. Suppose -w = -l*w - 127. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/31)\/b**(-44))**9)**(1\/3) assuming b is positive.\nAnswer: b**(4095\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, -1, 5, -3349, -3 in decreasing order.\nAnswer: 5, -1, -3, -21, -3349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 124201 to the power of 1\/2, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 10) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 2. Which is smaller: t or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s**3 - 5*s**2 - 19*s + 8. What is p(6)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10894 divided by 5.\nAnswer: 10894\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 37165 * -3\nAnswer: -111495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 65c1 - 3?\nAnswer: 65bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*f - 2*f - 2*q - 2, -3*q = -4*f + 3. Suppose f = -3*v + 4*v - 5. Suppose -v*k + 64 = -k. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/20 - (-1)\/5. Suppose -j + 4 + 4 = n. What are the prime factors of 2\/j - (-44)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 + -6. Let m = 0.284 + -0.584. Which is the nearest to -0.2?  (a) 5  (b) i  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (-3 - (4 - 10) - -4) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from pppapaq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 5*t + 100, 4*t + 3*g = 6*t + 44. Suppose -3*s = 11*j - 15*j, -3*s + 27 = 5*j. Sort s, -4, t in descending order.\nAnswer: s, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.43616 - 180.6?\nAnswer: -180.16384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 5 + 0 = 0. Let d(o) = -o + 5. Let j be d(z). Let k(y) = -3*y - 4. Let m be k(-2). Solve 3*h = -j*c + 26, 5*c + m*h = 34 - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11777864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 457631301 to the power of 1\/4, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 382000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 29628*f = -29625*f - 9, -3*l = -4*f + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - 406*m**2 - 12*m - 1. Let g(i) = 2*i**3 - i**2 - 10*i - 1. Determine g(c) - p(c).\nAnswer: c**3 + 405*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 436560 and 5?\nAnswer: 436560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 19 = 3*v, -2*v + 56*r = 51*r - 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7516 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -4*f + 29. What is s(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3222012211 - -31111?\nAnswer: -3221321100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of -6*h**5\/5 - 6*h**2 - 2004*h - 295. What is the first derivative of p(l) wrt l?\nAnswer: -24*l**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12*4\/(-40)*(3 - 261\/(-58))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 11) to base 5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -16 or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/28 - (-64)\/28. Suppose 5*a + 4*v + 11 = -0*v, -g*a - 8 = -2*v. Let d be 1\/(a\/(-15)) - 3. Solve d*n = 1 + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1461195 and 6213.\nAnswer: 159270255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 115664*-0.01\nAnswer: -1156.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 48 - -63. Suppose 9 + a = 4*f. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.5, 6553, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 - 8348011556.38.\nAnswer: -8348011555.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.6 + 0.62. Let x = a + 0. Is -1\/2 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -7*w - 2. Let x(p) = -15*p - 5. Determine 7*g(b) - 3*x(b).\nAnswer: -4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 30 - 5*o**2 - 5*o**2 - 30. Let a(y) = -y**2. What is a(z(x))?\nAnswer: -100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 46030423 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 183856.\nAnswer: 2, 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/8)\/(-1*3\/(-2)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -48115, -192473, -433071, -769909?\n\"Answer: -48120*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.033577728 to 3 decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 684*0.1\nAnswer: 68.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46354 = -3495*l + 2417*l for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 736321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -21*u**5 + 9*u**5 - 12*u**5 + (-2*u + 5*u - 4*u)*(-u**4 + u**4 - 2*u**4) - 3*u**5 + u**5 + 0*u**5 + (2 - 2 + u**2)*(u**3 + 0*u**3 + 0*u**3).\nAnswer: -23*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of i**3\/3 + 3*i**2 - i - 1439. Suppose -w + 1 = 6. Calculate g(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of u**6\/80 - 17*u**5\/40 + 9*u**4\/2 + 1601*u**2. Factor v(x).\nAnswer: 3*x*(x - 9)*(x - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -3*p - 20. Let b be n(-7). Put b, 3, -5, 4 in descending order.\nAnswer: 4, 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -47*c - 12. Let d be h(-1). Let k = d - 139\/4. Let s = 0.05 - -0.25. Sort -4, s, k.\nAnswer: -4, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 5*s = -19, 0 = 2*m - 5*s - 6 - 1. Suppose -16 = 2*w - 4*w. Calculate the remainder when (-7)\/((-2)\/m*1) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 3*x**2 - 19*x + 1. Let a(n) = n + 17. Let j(y) = -1. Let t(d) = a(d) - 6*j(d). Let k be t(-13). List the prime factors of z(k).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -43*f + 365. Give h(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 2*p = 34, -3*q + 31 = -2*p + 3. Suppose r + q = 4*r. What is the tens digit of r\/(1\/(-15)*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42256 rounded to the nearest 1000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q. Let n be i(6). Let x = -4 + n. Let z be 16 + (x - -1)\/3. Solve 5*w + a + 15 = 0, -a - 2*a - z = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(143) + (sqrt(143) - -2*sqrt(143)))*-3*3)\/(3*(sqrt(99)*-1 - sqrt(99))*3)*2.\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 324*a**4 - 5112*a**3 + 19588*a**2 + 4544*a + 256.\nAnswer: 4*(a - 8)**2*(9*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5*j - 16 = 0. Suppose -3*x + x = -4*p + 52, 3*x = j*p - 50. Solve -p = -2*t + 4*z, -3*z = -4*t + 34 - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7262630.\nAnswer: 2, 5, 389, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, -3, 6, 571 in decreasing order.\nAnswer: 571, 6, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -9.6  (b) 0  (c) -0.5  (d) -10  (e) -0.2  (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 4*p**2 - 10*p + 14. Determine l(-10).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w + 4. Calculate the least common multiple of a(10) and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*z + 36*z - 60 = 0. Let h = -2 - -5. Let s(d) = d**2 - 5*d + 5. Let i be s(7). Solve h*m = z, m - i = -t - 3*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 AM and 5:20 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -22 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c + 3. Let f = 291 - 285. Let a(k) = -k + 1. Calculate f*u(i) - 10*a(i).\nAnswer: -2*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 8:54 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9547696.\nAnswer: 2, 409, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3648365 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -20999640 divided by -6?\nAnswer: 3499940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + (-1*sqrt(637) - sqrt(637)) - (1 + sqrt(13) + sqrt(52))) + sqrt(52)\/sqrt(196) + sqrt(13) + (3*sqrt(52) + sqrt(52))\/sqrt(4).\nAnswer: -76*sqrt(13)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 18 = w. Let z(q) = -4*q - 6 + w. Let l(x) = 5*x - 4*x - 3*x + 4*x. Calculate z(l(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 276 and 136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2022, -2018, -2014, -2010, -2006?\n\"Answer: 4*h - 2026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5755.\nAnswer: 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 187683.\nAnswer: 3, 73, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 691*j - 1480 = 689*j - 2*p, -p = -5*j + 3688. Calculate the remainder when j is divided by 55.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5.14 - -4.94. Let q = -1 + 1. Let x = -2.6 - -3. What is the closest to n in x, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3115417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -552173.4*0.071\nAnswer: -39204.3114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 321995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (-635)\/15*(-5 - -2) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4\/7  (b) 7  (c) -38  (d) 19  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 5, a: 8}. Give prob of picking 4 g.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = v - 5*m, -5*v - 57*m - 14 = -61*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1785478115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 + 13. Let w = 14 - d. Let h be 3*(-4)\/12*-1. Solve r = -w + h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -10 - (-6 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1144447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c - 4*c = -5*w - 3, 5*c = -4*w + 3. Solve -5*f = -c - 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07756650436 + -113.694?\nAnswer: -113.61643349564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (10\/(-4))\/((15\/(-6))\/5). Suppose -7 = -2*u + 3*o, 5*o = u - 2 - k. Suppose x - 20 = -4*x. What is the greatest common factor of u and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 154324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 421 = 5*g - 3*b - 225, g - 5*b - 138 = 0. Suppose -5*x = g + 2. What is x rounded to zero dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:46 PM and 5:46 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -5, 3, -167, 1 in ascending order.\nAnswer: -167, -6, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) 4  (c) -1\/7  (d) 0  (e) -0.48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -25032110*f**3 - 48419385 with respect to f.\nAnswer: -75096330*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3451897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 - -34. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7b2 - 503?\nAnswer: 2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 320, 641, 962?\nAnswer: 1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2959 + 30. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 2*p - 6*p + 18, -3*p = 2*n - 10. Which is smaller: -2\/451 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.0234 and -0.590863645?\nAnswer: 0.432536355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.12 + -0.02. Let g = -0.5 - n. Let b = -1 - g. What is the third smallest value in -1\/6, -1, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 4*q + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*i**4 - 455*i**2 + 1106 wrt i.\nAnswer: -8*i**3 - 910*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 181 - 173 = 0, -5*p = -4*n + 26 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3913149 is divided by 18904?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-3)\/6)*2\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3355\/2 or 1679?\nAnswer: 1679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -3 - 79\/(-7) - (-810)\/(-90)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5868 and 1070205840?\nAnswer: 5868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-3\/2)\/c*c*c**3*c)\/((((c**(1\/3)*c)\/c*c)\/c)\/c)**(16\/9)*((c\/c**(1\/7))\/((c**(-3)*c*c)\/c))\/(c**3*c**2) assuming c is positive.\nAnswer: c**(583\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2*r = -24. Suppose 0 = -3*z + z + 4. Suppose l + 6 = z*l. Calculate the lowest common multiple of r and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 88 - 32. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 7, q: 1, e: 1, t: 1, g: 3}. Give prob of sequence eaq.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 101, 284, 637, 1244, 2189?\n\"Answer: 14*c**3 + c**2 + 82*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x + 5*x - 2 - x. Let w be h(3). Suppose 2*p - a - w*a = -12, 0 = p - a. Solve -o + 3 = -p*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*r - 2*u - 18, 21411 = 4*u + 21435 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 126 and 6626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.00427549194 rounded to six decimal places?\nAnswer: 0.004275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least -12177.42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 43*t**3 - 4*t**2 + 24*t - 24. Give j(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25657, 25654, 25637, 25600, 25537, 25442?\nAnswer: 25309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2036000.\nAnswer: 2, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 152704591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*c - x, -4*c + 3*x + 6 = -6*c. Suppose 23*v - 245 - 330 = c. Solve 0 = -2*y - 4*f + 10, 5*y - v = -0*f - 5*f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a + 0*a - 2*a)*(-3 + 3 + 2*a**3) + 2*a**4 + 0*a**4 + 0*a**4 - a**4 + 2*a**4 - 3*a**4 + 2*a**4 + 8*a**4 - a**4.\nAnswer: 11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of a**3 - 3*a**2 - 2*a. Let b(u) = -5*u + 5. Let w be 4\/(-14) + 51\/7. Give w*b(f) + 6*s(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -25808346, -25808341, -25808332, -25808319, -25808302, -25808281?\n\"Answer: 2*a**2 - a - 25808347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 312993 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*s - 5*s = -24*s + 63 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7\/(-14)*(-2 - -4). Let m be (i\/(-2))\/((-1)\/504*-12). Let l be (-2)\/(-4) - 215\/(-10). Are m and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**4)\/d*(d*d**(-4))\/d*(d**3*d)\/(d\/d**(-2\/15))*((d*(d**(3\/4)\/d)\/d)\/(d\/(d*d*d\/(d*d**7)*d*d*d)))\/(d*d**(-1)*d)**38 assuming d is positive.\nAnswer: d**(-2783\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-12))\/((-7)\/(-28)*-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 399 a factor of 5752439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 49133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/((-4)\/10))\/(210 - 211) + 2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/3)*((y\/y**(-4))\/y)\/y)**(-3\/40) assuming y is positive.\nAnswer: y**(-7\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 + 5*h**2 - 4*h - 10. Calculate l(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**2 - 17*j + 137. Determine s(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 185048683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23239 and 21039497?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 148*0.5\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 863663821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 85850571187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/72 + 10\/8. Solve -20\/3*n**2 + 0 + 4\/3*n**4 + 4*n**3 - m*n**5 + 8\/3*n = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 393 a factor of 154728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 161574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.09 - -2.09. Let x be -7 - (-135)\/63 - -5. What is the third smallest value in c, x, -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 73?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 - -1 - 12 - -20.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of 0*q**2 + q - 1\/15*q**6 + 0*q**4 + 0*q**3 + 1\/20*q**5 + 1\/42*q**7 + 2. Let w(j) be the first derivative of h(j). Factor w(y).\nAnswer: y**3*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 2*m**3\/11 - 580*m**2\/11 + 1714*m\/11 + 2296\/11 = 0.\nAnswer: -1, 4, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*j = 64*j - 31577 + 36599 for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + -6)\/(-105 + 88)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbbbbk?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j + 0 + 0)*(j**2 + 0*j + 0*j) + j - j - 4*j**3 + 5 - 5 + 3*j**3 + (-10 - 5 - 2)*(j**3 - 3*j**3 + j**3).\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -4) + (-3 - 3) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -6, -0.4, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4352 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 + 30*u - 90. Let y be f(26). Suppose t + t - 32 = 4*r, 0 = 4*t + 2*r - y. What is the highest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = t - 4*t. Suppose 3*h - 18 - 21 = 0. Suppose -2*y - h = -t*a, -a + 5*a = 4. What is y rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1418 and 27768.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1841 and 1232155.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 49098.32m in millimeters?\nAnswer: 49098320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/864 - (-433)\/(-24)) + 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 344.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0018013 rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1475468984.\nAnswer: 2, 11, 211, 229, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 735 + -734. Which is smaller: -2\/23 or t?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 2*s - 23 + 5, 2*w = 3*s - 27. Find the second derivative of a**2 + a**5 - 3*a - a**2 + s*a wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = 9*n - 15. Suppose -n*g - 13 = -3. Let f(u) = 2*u + 3. What is f(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 595\/455)*(-42)\/32 + 2\/(-8)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10)\/4*60\/(-75). Let k be (-234)\/57 - -2*o. What is the smallest value in k, 3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + -1 - (-5 - 2). Let h(x) = 21*x**2 - 1. Suppose -3 + 6 = 3*r. Let p be h(r). Solve -45 = -q*t - p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6912 and 9504.\nAnswer: 76032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 594674 is divided by 839?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*m + 2)*((2 - 2 + m)*(2*m**2 + m**2 - 4*m**2) + (-6 + 3 + 2)*(5*m**3 - 2*m**3 - 2*m**3)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 59*l**2 - 4137*l + 3. Determine a(69).\nAnswer: -4551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/489?  (a) -1\/495  (b) -5  (c) -1\/2  (d) -2  (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10291908 and 627.\nAnswer: 195546252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (517*p - 88*p - 219*p)*(-1 + 1 + 6)*(2 + 1 + 0) to the form k + f*p and give f.\nAnswer: 3780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 102840 divided by -1.\nAnswer: -102840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 74585417 to the nearest integer?\nAnswer: 8636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**2 - 6*q - 9.\nAnswer: 3*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 196 and 35008988?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 8*h - 12. Let d(f) = -7*f + 13. Let c(x) = -4*d(x) - 3*k(x). Let r be c(5). What is the third derivative of -s**2 + 3*s**r + 8*s**4 + 0*s**4 wrt s?\nAnswer: 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-7))\/(119\/2499) + 4446\/(-559) + -1.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30533 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.0436 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 273 - 363. Let r be (11\/(-33))\/(3\/v). Solve -3 = -r*t + 9*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 318?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 149 = -5*t - 3*j - 10, 0 = -j - 3. Let v be t\/42*1 - 8\/(-14). Sort 5, 1\/2, v.\nAnswer: v, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 - (-7 + 15 + -12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 375 and 575?\nAnswer: 8625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1177.2 rounded to the nearest 10?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 - 6*h**2 - 7*h + 3. Let r be d(7). Suppose -r*y + 0*y = -9. Let z = y + 2. Sort z, -1, -2 in decreasing order.\nAnswer: z, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 18 - 96 = 531*f - 537*f, 5*f = 3*l - 64 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-715)\/(-572))\/(46\/24 + -2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-87 + 15)\/12 - -5. Which is greater: -2\/4525 or i?\nAnswer: -2\/4525","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -95\/121 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 8*d**2. Let l = -111 - -79. Let i(b) = 88*b**2. Let u(r) = l*t(r) + 3*i(r). What is the least common multiple of 7 and u(-1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u - 2. Let o(h) = 2 + 2*h + 1 + 0*h + 1. Calculate 6*o(z) + 11*s(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -6\/341, 4, 9, 3\/2, 0.2 in ascending order.\nAnswer: -6\/341, 0.2, 0.4, 3\/2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/70 and 97\/5486950?\nAnswer: 5486950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 411991+1.081\nAnswer: 411992.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/5)\/((-24)\/(-15)). Let l = -4065 - -4067. What is the nearest to l in 0.1, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 306 - 81. Let z = t + -224.9831. Round z to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, s: 1, z: 4, y: 2}. What is prob of picking 2 y, 1 s, and 1 z?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5, 35408, -0.4, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 16) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 63, -10, -1, -4, 4 in decreasing order.\nAnswer: 63, 4, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 239, 10061 in increasing order.\nAnswer: -3, 239, 10061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 36324867 by -28137.\nAnswer: -1291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -29*c**3 + 6*c**2 + 2244. Let s(i) = -63*i**3 + 13*i**2 + 4491. Calculate -13*j(h) + 6*s(h).\nAnswer: -h**3 - 2226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -36*g**5 + 58*g**2 - 4*g?\nAnswer: -2160*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 261 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1129 - -2511. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 790272*c + 1260. Let k(x) = -15649*x - 25. Give 5*j(m) + 252*k(m).\nAnswer: 7812*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 33, -4 in decreasing order.\nAnswer: 33, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 5*z - 75, -z - z + 4*v + 32 = 0. What is the highest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13)*-3*-1*1*2.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 82242*c**3 - 2*c**2 - 36*c - 9510270.\nAnswer: 246726*c**2 - 4*c - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwiwwwiwiwwiww. What is prob of sequence wi?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 0.606, 58.5, 0.5, 1, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 405\/(-15)*-109 - -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of 1\/168*d**7 - d + 0 + 1\/24*d**4 - 1\/60*d**6 + 0*d**2 - 1\/24*d**3 + 0*d**5. What is h in z(h) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3\/2, 0.16 in increasing order.\nAnswer: 0.16, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 606105454 or 606105455?\nAnswer: 606105454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 86244 divided by -4?\nAnswer: -21561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 725901.93ms to hours.\nAnswer: 0.201639425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 41, 427, 1471, 3503, 6853, 11851?\n\"Answer: 55*v**3 - v**2 + 4*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*267632.\nAnswer: 267632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -3*m + 11. What is the smallest common multiple of 16 and p(-7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00111304278 rounded to 7 dps?\nAnswer: 0.001113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1493543.97 rounded to the nearest one hundred?\nAnswer: 1493500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -4*p. Let i be h(1). Suppose -29 = -4*r + 47. Suppose -b + r = -3*b + 3*w, 0 = w - 3. Is i != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/4)\/(15\/300). Solve -o + 0*o + 4*y = -7, -2*o - 12 = v*y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1040398 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -201 - -206.05. Let o = -5 + s. Let u = 0.05 - o. Which is the nearest to u?  (a) -0.2  (b) -5  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + t + 12 = -4, f - 13 = -2*t. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 6, j: 4}. Give prob of sequence nnj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -97264200 take away 6?\nAnswer: -97264206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7*21\/(-7))\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -2*n. Let w(u) = 2*u. Let f(s) = -3*i(s) - 2*w(s). Let g(p) = -3*p + 1. Give -4*f(y) - 3*g(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28500481?\nAnswer: 59, 61, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 11*j - 7 - 13 + 26 + 3. Calculate the remainder when 15 is divided by l(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -655, -656, -659, -664?\n\"Answer: -z**2 + 2*z - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001214 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 756\/((-6)\/2)*(2136\/16)\/(-3) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3568423367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 7661 - 15324 + 7664 - 53*m. Let d(a) = -34*a. Determine y(d(v)).\nAnswer: 1802*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 930 and 167710?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 1, 1\/3, -67818, -5, 0.4 in descending order.\nAnswer: 1, 0.4, 1\/3, 0.3, -5, -67818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/6)*l*l\/l**0*l*l)\/(l**0*l*l**(-5)*l) assuming l is positive.\nAnswer: l**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1613 from -111.\nAnswer: -1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 16\/(-28) - (-9)\/(378\/192). Which is the nearest to -1?  (a) 1  (b) -1\/4  (c) -9.5  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 83927, 167854, 251781, 335708?\nAnswer: 419635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -21*z - 1. Let x be u(-1). Suppose 5*g = 9*g + 6380. Let b be 29\/(g\/(-210)) + (-2)\/(-11). Solve 0 = -0*d + b*d - x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = -4389*q + 4388*q - 22, -4*q + 2*q = -5*w - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 9952785242 - 0.195\nAnswer: 9952785241.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 14*q - 9*q**3 + 8*q**3 + 3 in the form s*q**3 + y + m*q**2 + a*q and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1967 = -8*j + 25992 - 5943. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -4*v + 15*v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*m + 5*a - 23, 0 = -a + 5. Suppose m*i = 6*i. Suppose -b + 85 = -i*b. What is the greatest common divisor of 34 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 6443*c - 581. What is the thousands digit of v(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.763 + 0.563. Sort p, 0.07, -0.9, 0.\nAnswer: -0.9, p, 0, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -406 divided by -14?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 100 - 103. Let x be m + (-105)\/(-2) + 4\/8. Calculate the highest common divisor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/20)\/(162\/60)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1028 + 949.3. Let q = p + 72. What is q rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1203421504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 17\/4 of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 1:37 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 101178 or 101176?\nAnswer: 101178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the third derivative of 7*w**4\/24 - w**2. Let q(a) = 10*a**2 - 12. Let n(x) = x**2 - 1. Let g(j) = -12*n(j) + q(j). What is m(g(p))?\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*t + 5*t = 0. Solve -10 = -t*h + 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/4 in 3, 0, 2\/5, 91\/2, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -4. Suppose -4*a = -4*d - 88, 4*a + 5*d = 5*a - 42. Suppose -4*r + 3 + a = -5*y, r - 5 = 4*y. Solve c*t + t = y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m = -4*m. Differentiate 15*a**2 + 1 + m - 18*a**2 with respect to a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the second derivative of n**5\/20 - 11*n**4\/12 + 3*n**3\/2 + 10*n**2 + 4*n. Let k be x(10). Calculate the highest common factor of k and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-2)\/(6\/(3\/(-1))))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1\/1362 - -68783\/2724. Find the common denominator of x and 49\/2 - (-1 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 521 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1005\/4 - 55\/44. Does 251 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (27 - (-10 - -28)) + -19 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3 - 14*a**2 - 2*a + 14.\nAnswer: 2*(a - 7)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 7:28 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2\/3, 18, 0, -8\/9, 1, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 + 8*r**2 + 5*r. Let k be w(-7). Let g = k + -10. Determine i, given that 2*i + 4*i**2 - g*i**2 - 4*i**3 - 2*i**2 + 4*i**2 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*o - 41*o + 17205 = 0. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -912 and 343.\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.15158 - -68.34479.\nAnswer: 68.49637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 1113 divide 24038929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44 - 41. Suppose 0*y - j*y = 9. Let m be (-3 - y - -5) + -2. Solve m*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-18*s + 25*s - 10*s)*(0*s**3 + 2*s**3 + 0*s**3) to c*s + b + p*s**4 + l*s**2 + n*s**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 54.71 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 12, 52, 108, 186, 292, 432?\n\"Answer: h**3 + 2*h**2 + 27*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16102 is divided by 2237.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 + 0.0056?\nAnswer: 0.2056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -5403537865381 take away 0.2?\nAnswer: -5403537865381.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -6*h - 7*h - 4 + h + 10*h**2 + 3*h - h**3. What is t(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(216)*3)\/(sqrt(72)\/sqrt(96)).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 85195080*g - 141165181 wrt g?\nAnswer: 85195080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 20 = -4*z, -2*z + k + 16 = -4*k. What is the derivative of -n + 3 - 4*n**z + n - n + 0 wrt n?\nAnswer: -12*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -h + 84699, 0 = y + 6 - 3. Let q = 170708 - h. Round q to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 * 168319.82.\nAnswer: -1178238.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 + ((-72)\/(-42))\/(2\/342678) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8119, 8399, 8679, 8959?\nAnswer: 9239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*d**4 + 60*d**3 - d**2*n + 25588*d*n wrt d.\nAnswer: -36*d**2 + 360*d - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 215274992?\nAnswer: 645824976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -209\/72 - 7\/8. Find the common denominator of i and -43\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 47 + 52. Let i(f) = 43 + 35 + 21*f + 51*f**2 - x. Let c(r) = 5*r**2 + 2*r - 2. Calculate 21*c(d) - 2*i(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7736 is divided by 1924.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o. Let u(p) = 19731*p + 5924. Calculate u(b(w)).\nAnswer: 19731*w + 5924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24.09 - 24.0902762. Round d to five dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from qeekqqewqwbbej.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j\/(j*j\/(j*(j\/j**(-1\/6))\/j*j))*(j*j**(-3\/7))\/j*j*((j*j**(-5)*j)\/j)\/(j**(-1)*j)*((j**(-1\/2))**(-8))**(9\/4) assuming j is positive.\nAnswer: j**(325\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - m + (m + 0*m + 0*m)*(1 + 5 - 4) + 5*m - 2*m - m + m - m + 2*m + 0*m + 0*m - 2*m)*(-2*m - 7*m - 15*m).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 61\/680394*-44*-156\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 399 from -2.5.\nAnswer: -401.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 119.76836944 to 3 decimal places.\nAnswer: 119.768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of 245*c**3\/3 - 3*c**2 - 5*c + 11. Let i be k(5). Suppose 0*v + i = 5*g - v, -g = v - 1224. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 197666577\/74 + -2672550. Let j = -1380 - q. Is 1 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -536754, -5, -65, 4 in increasing order.\nAnswer: -536754, -65, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 73734607?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2459 + 2458.9. Which is the nearest to q?  (a) -1  (b) 11  (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.01 < 0.01317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 504*n = -460*n - 237*n + 26422 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 12) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 10 = -3*l. Suppose i + 348 = 7*i. What are the prime factors of i\/6 + l\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*l = 15*l - 1422. Is 4 a factor of l\/12 + 9\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 0 = -5. Let a be 7900*(8\/4 + q). Round a to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/10*-121*255\/(-6171)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -6*z**3 + 7*z**2 + 8*z + 11. Let m(v) = 5*v**3 - 6*v**2 - 6*v - 9. Let f(c) = 5*m(c) + 4*r(c). Calculate f(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qczqiqqiqieqzicq. Give prob of sequence zqqe.\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90 - 100*l + 334*l - 222*l.\nAnswer: 12*l + 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.3 from -52951.\nAnswer: -52951.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -29, -45, -55, -53, -33?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 82 - 89. Let u(m) = 13*m + m**3 - 10 - 3*m - m**2 + 12*m**2. Is u(t) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 20767  (c) -2\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -620  (b) 0.5  (c) -12\/49  (d) -2  (e) -4  (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18701 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -2*p + 6. Suppose -12*o - 15 = -15*o. Let f be ((-3220)\/(-16))\/o + 2\/(-8). Let b = f + -47. Let g(m) = -5*m + 13. Give b*r(s) + 3*g(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 8:29 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1246 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 36*h**5 - 3360*h**4 - 1983558*h**2.\nAnswer: 2160*h**2 - 80640*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 9*s - 2. Let d(g) = -26*g + 6. Let m = -56 + 39. Calculate m*a(u) - 6*d(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4*(-12)\/32*2. Let -9*s**f - 4*s**4 - 4*s**3 + 4*s + 4*s**2 + 9*s**3 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4 + (6\/(-2) - -1). Suppose -3 = 5*a - n*a. Let r(h) = -6*h. What is the units digit of r(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -1868*u - 130852. Give y(-70).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 - 2 + 2)*(0 + 2*r + 0) + (-6 + r + 6)*(0*r - 2*r**2 + 0*r) - 3*r**3 + 2*r**3 + 0*r**3 + (-4*r + 0*r + 3*r)*(-2*r**2 + 0 + 0).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9 - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 226*j**4*p - 6*j**4 - 13*j**2*p + j**2 - 13*j*p wrt j.\nAnswer: 5424*j*p - 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3759918 divided by 61?\nAnswer: 61638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15896540 is divided by 214?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-22)\/(88\/(-6))*((-2)\/(-2) + 275) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 1 = -l, 2*l - 30 + 7 = 5*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-3 + (10 - 1) + -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*l + 39*l - 36 = 0. Let r(t) = -4*t. Let w(d) = -1. Let p(z) = -r(z) + 4*w(z). Calculate p(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7920015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (1 - (0 + 3 + -11 + 4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 58817.1 to the nearest 100.\nAnswer: 58800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -0.04, -26\/301175 in ascending order.\nAnswer: -0.04, -26\/301175, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 85008 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 123169361 by -1.\nAnswer: -123169361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 359 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*l*m*x**2 + 2*l*x**2 - 4*l + 21*m*x**2 - 1679*m*x - 463*x**2 - 4934*x wrt x?\nAnswer: -6*l*m + 4*l + 42*m - 926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/(-15) - 26\/(-10). Let s = g + -2. Let p = 1.3 + -0.3. Do s and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35852917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -586 = -10*g + 8*g. Suppose -3*n = -c + g, 2 = -4*c - 2. Let a = 218 + n. What is the highest common divisor of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/9*84\/56*9. Solve -s - 4*v - 11 = 0, -q*s - v - 14 = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + 40b2c?\nAnswer: 40b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 43037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 + s + 84. Let m be 3\/2 - (-21)\/(-14). Let t be a(m). Find the common denominator of 81\/4 and (t\/(-40))\/((-6)\/11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*(0 - 3\/(-2)). Let g(x) = -4*x**2 + 2*x**2 - 5*x + 12 - 5*x + d*x**2. Let v be g(8). Are v and -4 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*w**2 - 4*w**3 + 2*w**2 + 3*w - 3*w to s*w + a*w**3 + c + p*w**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a - 25*a = -3690. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -469*m**4 - 2*m**3 + 10*m**2 - 5*m + 1801. Let r(t) = 462*t**4 + 2*t**3 - 12*t**2 + 6*t - 1801. Let x(v) = 6*b(v) + 5*r(v). Differentiate x(c) wrt c.\nAnswer: -2016*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + i - 5 - 4 + 4 + 3*i + (1 + 1 - 1)*(13*i - 29 + 29) + 3*i - i - i)*(0*i**3 + i**3 - 10*i**3).\nAnswer: -162*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -83 - 2*w**2 + 186 + 4*w - w**2 - 103. Let p(x) = -3*x**2 + 4*x. Let m(k) = k**2 - 2*k + 2. Let i be m(2). Calculate i*p(o) - 3*j(o).\nAnswer: 3*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 - 9*z - 1. Suppose -5*r = -k + 4, -3*k = -r + 3 + 13. Let v = 10 - 1. What is the remainder when h(k) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssssnn. Give prob of picking 4 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 2*a + 1144, 3*a = 5*b - 1387 - 337. Let s be 1490\/(-4) - 1\/(-2). Let h = s - a. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 21 = -y, 5*y - 4*g + 16 = -5. Let r be 3 + y + (-26)\/12. Let u(m) = m**2 + 9*m + 10. Let f be u(-7). Put f, 4, r in ascending order.\nAnswer: f, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -925 divided by 2\nAnswer: -925\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -8. Let d = -0.5 + z. Let i = d + -4. Which is the nearest to -0.1?  (a) -2\/15  (b) -0.5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 (base 7) in base 2?\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -344843288 divided by -172421644.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -152 divided by -48848\nAnswer: 19\/6106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6026*t**5 + 4*t**4 + 3*t**2 - 23069*t wrt t?\nAnswer: -361560*t**2 + 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0086571 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b + 8. Let a be i(-5). Solve a*h = -5 - 7, -f = 4*h + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, e: 1, l: 1, x: 1, s: 1}. What is prob of sequence gse?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -56 - -59. Suppose 9 = 3*v - 3*s, -s - i*s = -3*v + 10. What is the third derivative of y**6 - 166*y**2 + 16*y**6 + 2*y**6 + 151*y**v wrt y?\nAnswer: 2280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 207 - 121. Suppose 0*j - 3*j - d = -h, -j + 5*d = -18. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * 28.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 5*s - 2*h, 3*h + 96 - 87 = 0. Let j = 0.7 + -1. Which is the second smallest value?  (a) -1\/8  (b) j  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - 2*a)*(1 - 3 + 4)*(3*a + 2*a - 4*a) to the form d + x*a**2 + q*a and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26.6, 0.2, -4.4, -7 in increasing order.\nAnswer: -7, -4.4, 0.2, 26.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 9, x: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0*(-3)\/9)\/2. Suppose j = 5*c - 3*w - 3, 3*w + 23 = c + 8*w. Let u = 10 + -15. Sort u, c, -2 in descending order.\nAnswer: c, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, x: 2, n: 2, k: 6}. What is prob of sequence kr?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 2*x = -6, 3*w - 2*x - 1 = -0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of -r**7\/70 - r**6\/60 - 19*r**5\/10 + 2111*r**4\/8 + r**3\/3 - 4987*r**2. Find the second derivative of k(t) wrt t.\nAnswer: -36*t**2 - 12*t - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 0.3  (c) -1\/13  (d) -2\/19  (e) 5  (f) 1742\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4274820 by -1270.\nAnswer: 3366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 2*q + 8*q = -45, 172*z + 5*q = 173*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 69, -1\/5, 4 in increasing order.\nAnswer: -3, -1\/5, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 559567?\nAnswer: 23, 24329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3433563.\nAnswer: 3, 7, 37, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 24 - 3 = t, -17 = -2*t - 3*w. Sort -10, -5, t in ascending order.\nAnswer: -10, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10*2\/(-8)*24\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 - (1 + -1 - 52). What is the greatest common divisor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/5)*d)\/(d\/(d\/(d**7*d))*d) assuming d is positive.\nAnswer: d**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 101, 203, 307, 413, 521, 631, 743?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14546?\nAnswer: 2, 7, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-3) - (-20)\/12. Let d be ((-26)\/(-78))\/(1\/15). Suppose -5*y - 140 = -d*m + 80, -o*m = y - 76. Solve 0 = p - 1 + 4, 0 = 5*g - 5*p - m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4286 + 2893. List the prime factors of n.\nAnswer: 3, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19539462661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1.17 times 110693\nAnswer: 129510.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 524071275 and 2015.\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -161.47594 + -115.33.\nAnswer: -276.80594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the third derivative of 12*i**2 + 0*i + 0*i**4 + 5\/6*i**3 - 7\/30*i**5 + 0. Differentiate r(w) wrt w.\nAnswer: -28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a + 15. Let d be j(-12). Calculate the common denominator of d - (-5)\/(135\/(-213)) and -63\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 17 + 9 = 0. Suppose j*l + 27 - 251 = 0. Suppose -5*t + 0*w - 3*w + 87 = 0, 4*t - w - l = 0. Solve 3*f - t = 3*v - 6*v, f - v + 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-3)*(-12)\/36*-79983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (55\/((-2090)\/684))\/((-1)\/4*2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4505291 is divided by 3303.\nAnswer: 3302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((36\/6)\/60)\/((-1)\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of 23*f**5\/20 + 7*f**3\/2 - 17*f. Find the second derivative of p(r) wrt r.\nAnswer: 138*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 3, 0.06, -4, 527, 4 in increasing order.\nAnswer: -4, 0.06, 1\/3, 3, 4, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 55922420 less than -1168?\nAnswer: -55923588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*v - 56 = -18*v. Find the first derivative of 230 + a**2 + a**v - 6*a**2 - 39*a - 52 wrt a.\nAnswer: -8*a - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80\/(-96)*(-4)\/(-5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3133 + -2340?\nAnswer: -11023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v\/(v**(2\/13)*v)))\/v)\/v**(-24))\/(v**(-8\/7)\/v)**(1\/3) assuming v is positive.\nAnswer: v**(2263\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 + 666*t - 14732. Calculate n(23).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of n**6\/180 + n**5\/60 + 7*n**4\/12 + 8*n. Let t(v) be the third derivative of m(v). What is the first derivative of t(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-21)*c\/(c\/c**(-14)*c*c))**(-11) assuming c is positive.\nAnswer: c**407","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2 + 26086*d + 234936.\nAnswer: -2*(d - 13052)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(2 + -2 + sqrt(1008) + sqrt(1008) + (-4 + sqrt(1008) + sqrt(1008))*5)**2*-3.\nAnswer: -69120*sqrt(7) + 1746624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of l**3\/3 + 3*l**2 + 3*l - 3. Let o be k(-6). Suppose 45 = 6*z - o. What is the greatest common factor of z and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 32*n + 1. Let s = -1687 + 1688. Give f(s).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 14765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -23 in -303, -5\/2, 1504, 0, -2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b**2 + 41*b + 54. What is l(-20)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/14 in -33, 2, 5, 2\/117, 77?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*o**2 - 19*o**3 + o + 3*o**2 - o**2 - o**4 as n*o**4 + u*o**3 + s*o + i + w*o**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - i + 5 = 0. Suppose 4*w + 236 = -4*v, 216 = -2*v + i*w + 70. Let z = -25 - v. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/8 - h\/8 - 1\/4.\nAnswer: (h - 2)*(h + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 - 4*d - 3. What is s(-8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 167 + 3?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 59760959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 97110753.\nAnswer: 3, 521, 62131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 14610 equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of 3*m**6 - 2*m**3\/3 + 16. What is the third derivative of i(h) wrt h?\nAnswer: 1080*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*r**3 + 4*r**3 - 8*r**3 + (4 - 4 + r**2)*(3*r - r - 3*r) + (3*r - 2*r - 3*r)*(r**2 + r**2 + 0*r**2) in the form v*r**2 + y + t*r**3 + w*r and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, 4, -135, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xh when two letters picked without replacement from hxxxhhkx?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 13753 or 151284\/11?\nAnswer: 151284\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 - 2 - 78\/3. Let n = -12 - i. Suppose 2*k = 5*r - 8, -2*k + n = -3*r - 6*k. Solve g - 3*g = r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 355046736773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.5 - 1.6. Let w = 13415 + -13417. What is the closest to j in w, -0.3, 2\/3, -83?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -30, 0, -83.\nAnswer: -83, -30, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*z + 1020 + 156 = 0. Calculate the remainder when z is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2417*a*f**5 - 32*a*f**4 + 242*a*f**2 - f**3 - 100*f**2 + 12 wrt f.\nAnswer: -145020*a*f**2 - 768*a*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*c - 44 - 10 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = k - 12, 1880*h = 1879*h + 2*k - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(35\/(-9)))\/((-9)\/15)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79399 is divided by 19799.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*p + 36*p = 0. Suppose 5*x - 33929 + 221429 = p. What is x rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**3 - 15*p**2 - 14*p. Let h be t(-14). Solve 2*l + 3*l = h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 81 - 81.08. Which is the third smallest value?  (a) 0.3  (b) 3\/4  (c) y  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*n**5\/7 + 219*n**4\/7 + 639*n**3\/7 - 145371*n**2\/7 - 145794*n\/7 = 0. What is n?\nAnswer: -47, -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, o: 5}. What is prob of sequence jo?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 3*s - 6*s + 76, 0 = 2*d + 3*s - 32. Let z be d\/(-99) + (-32)\/18. Sort z, 4, -1.\nAnswer: z, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2586821366?\nAnswer: 2, 593, 2181131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/(-10) + 24\/(-40). Let h = o - -2. Suppose -5*z + 3*z - h = 0. Which is smaller: z or -2\/35?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2 = -l - 2, 5*i = -2*l + 25. Suppose -4*c + l*c - 17 = 0. Suppose 0 = 3*b + n - 2*n - c, 3*n = -4*b + 1. What is the biggest value in 0.2, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2755755716.\nAnswer: 2, 7, 59, 1668133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 651 + -646. Suppose -7*c + 24 = f*p - 10*c, -4*p + 27 = -5*c. Solve 8 = 2*r, p*i - 2*i + r = 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 155771031 is divided by 248.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -25*g**2 + 3*g + 2. Let j(s) = -s**3 + s**2 - 38*s + 37. Let p be j(1). Determine k(p).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 - -20308\nAnswer: 20308.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a9030 (base 13) to base 7.\nAnswer: 5515634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 36227.3 centuries in years?\nAnswer: 3622730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 78*u + 475 - 633 - 778 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13830639*x**2 - 3674259 wrt x.\nAnswer: -27661278*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjjg when four letters picked without replacement from jijiggiojijgj?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-2)*((h\/(h*h*h\/h**(1\/5)))\/h*h)\/h*h**(1\/7)*h**(2\/9)*h*h assuming h is positive.\nAnswer: h**(-767\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 62533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/17  (b) -2  (c) 33  (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of a**5\/20 - a**4\/6 + a**3\/6 + 16*a. Let m be o(2). Let x = -30 - -46. Solve m*k = 6*k - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/3158640 and -79\/2456720?\nAnswer: 22110480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - -332?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 4*z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -1\/2  (b) -6\/41  (c) -5  (d) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 6:01 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*g + 318 = 158*g - 98*g + 1308 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 29 - 1. Is 27 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 4*y + 40 = 0, 0*d + y = d. Solve w - 26 = 2*t + d*w, -w + 1 = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 2*c - 3*c)*(0 - 2 - 2)*(0 - 15 + 2).\nAnswer: -104*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 13*u**2 - 12*u - 4. List the prime factors of q(14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 13, -190, -749, -1844, -3655, -6362?\n\"Answer: -30*d**3 + 2*d**2 + d + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -13*m**3 + 12*m**2 + 3*m - 3351. Let z(x) = -4*x**3 + 4*x**2 + x. Determine -f(p) + 3*z(p).\nAnswer: p**3 + 3351","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w - 1529 = 5478. Let u = -160 + w. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 435245 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9.52 * 3.\nAnswer: 28.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.12 + -12.78. What is n rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 PM and 10:21 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is ca500 + -11?\nAnswer: ca4bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -1 - 24. Suppose 0 = -4*a - c*v + 9, -18 = -0*a - 5*a - 4*v. Suppose -a*q - 84 + 300 = 0. Calculate the remainder when q is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 3*g**2 + 10*g + 29. Let a be t(13). Suppose 0 = 664*b - a*b + 528. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1222220 + -11?\nAnswer: -2000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 + 5. Suppose 0 = 4*t + 3*v + 186 - 14, -3*t = -3*v + 108. Let o = y - t. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(4)\/sqrt(2) + 0.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -26, -48, -90, -158, -258?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of g**8\/840 - g**5\/120 - g**3\/3 + 2*g**2. Let w(t) be the first derivative of z(t). Find the second derivative of w(j) wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 12) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - m + 2 + 24 = 0, 0 = z - 5*m + 10. Let h = 0 - z. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -7, 2, -5, 0.1, -377, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of -a**4\/6 - 3*a**2 + 1. Let s(v) = 11*v**2. Determine s(u(c)).\nAnswer: 176*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -6*((5*-1*sqrt(1377))**2 + -5 + (sqrt(1377) - (3*sqrt(1377) + sqrt(1377)))**2).\nAnswer: -280879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12205 divided by 57.\nAnswer: 12205\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8829, -7802, -6777, -5754, -4733?\nAnswer: -3714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1248, -1340, -1432, -1524, -1616, -1708?\n\"Answer: -92*z - 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 20683592.\nAnswer: -82734368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 501 - 189. Let l = k - -583. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, z: 6, o: 1, l: 6, d: 1}. Give prob of sequence uld.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (3\/46)\/(59751\/50899)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*i**2 + i**2 - i**2 - 32*i**2.\nAnswer: -53*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21395 - 21396. Let r = -2\/109 - 323\/218. Which is the closest to r?  (a) 3  (b) 1  (c) -3  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, b: 6, r: 2, i: 2}. What is prob of picking 1 r and 1 i?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nlenulgk. What is prob of picking 1 n and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:59 PM and 4:26 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {q: 6, h: 3, o: 5, x: 1, z: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -0.4  (c) -0.83  (d) -4  (e) 9  (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 11:54 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.04662 and 2.\nAnswer: 1.95338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)*2)\/(-2*sqrt(144) - sqrt(144)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*a*a*a\/(a**25\/a)*a))\/a**(-8\/3) assuming a is positive.\nAnswer: a**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 less than 773.041?\nAnswer: 779.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 19 = 2*m + 45, -2*m = -c + 12. Suppose c = 2*z + 4. Suppose 0 = 7*r - 2*r + z. Which is smaller: 1\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 - 17. Let d = -5276 - -5272. Which is the closest to d?  (a) 1\/4  (b) q  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 4 + 16 = -u, -3 = -i + 2*u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l - 11. Let i be p(-9). Let o = i - -22. Solve 5*c + 5*q - o = 0, 0 = -4*c + 7*q - 2*q - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (21\/9)\/((-2)\/6). Let d = 9 - m. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4555818 divided by -19062\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 4 = 2*u, 2*u - f = -u + 6. Suppose 3*c + c - 124 = 0. Is (c*2)\/(u\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(9)*-1)\/sqrt(3))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -20*a**4 + 3*a**2 + 41. Let l(n) = -40*n**4 + 5*n**2 + 82. Let w(r) = -3*l(r) + 5*v(r). Differentiate w(p) with respect to p.\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 774*w - 8472. Determine z(11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 823, 829, 835, 841, 847?\n\"Answer: 6*s + 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - -0.2. Let x = -479 + 835. Let y = x - 353. What is the smallest value in y, -0.5, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2704 to two decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dq when two letters picked without replacement from dqqfqqqqqqdfqdq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (15\/(-6))\/(-5)*-16. Let s be j\/(-36) + 961\/9. Suppose -4*k + s - 15 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1477 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -405176445*z - 137425716 wrt z?\nAnswer: -405176445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52228.\nAnswer: 2, 11, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2cd (base 16) to base 9\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*t - 94 = 92 - 204 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p**2\/21 + 458*p\/3 - 281060\/7 = 0. Calculate p.\nAnswer: -1833, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -650 = -3*l - 10*l. Calculate the greatest common divisor of 25 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*m - 43 - 2. Solve 2*q - 3 - 13 = 4*l, -4*q - m*l + 6 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191149 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 992976.4us?\nAnswer: 0.9929764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 - 12) + (0 - -4) - 19.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*c = -5*m - 1, -2*m - c - 51 + 56 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8475 or 7856?\nAnswer: -8475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 44531072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16740, -33466, -50154, -66804?\nAnswer: -83416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*q + 13 + 6*q + 0*q - 13 to the form z*q + m and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2250 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 9:00 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -118*j + 1006. Let z(v) = 41*v - 335. Let s(a) = -2*q(a) - 7*z(a). What is the thousands digit of s(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2400)*1 - sqrt(24) - sqrt(24))\/(sqrt(512) - -2*sqrt(512)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47267256.\nAnswer: 2, 3, 71, 27739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32*1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qfyqfyfqqyffyf. What is prob of sequence ff?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.0879 + 0.088791. What is b rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 + 5*y**2 - 6*y + 10. Let d = 65 + -37. What is the remainder when d is divided by x(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13123 + 14432 + 59216 = 4391*w - 71305 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 123*x + 1914. Calculate j(101).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*h + 3*h. Does 5 divide 2*1\/h*21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (s - s + 2*s)*(-307 + 4055 - 573) in the form t + h*s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 25*j**2. Let h be c(-1). Let y be (-10)\/h + (-17)\/(-5). Solve -2 = l + y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - 1\/(-2))*-8. Suppose -2*n + 8 + 18 = -4*f, -4*f = -g*n + 28. Is -8 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 14 = 4*u, 7 = j - u - 0*u. Let b(r) = r**3 + 2*r**2 + 2*r + 1. Let c be b(-1). Solve 2*p - 5*o - 22 = c, o + j + 4 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61183 is divided by 1529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1150.8 + -1151. Let g = -0.24 + -10.76. Sort -5\/2, m, g in decreasing order.\nAnswer: m, -5\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {w: 1, p: 3, u: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-49)\/(-7) + -49 - (2784\/96 - 32)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 AM and 4:11 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 192 = -4*t, 0*t - 136 = -3*g + 5*t. Let l be g\/39 + (-4)\/(-6). Let q = 254 - 244. Does l = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 46 and 7862.\nAnswer: 180826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2606159?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**3\/19 + 2900*f**2 - 7465856*f\/19 + 253524672\/19 = 0. What is f?\nAnswer: 68, 27414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of 19*a**3\/6 - 25*a**2 - 86*a. What is the hundreds digit of w(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 1779 = 2*t, -3*t = 4*b - 2430 - 233. Let j = t + -88. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -18 (base 13) to base 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3378, 6582, 9766, 12924, 16050, 19138, 22182, 25176?\nAnswer: 28114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -772314 divided by -1327\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 15 = 0, -r + 6*i + 131 = 2*i. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b**2 + 5*b - 9. Let j(z) = -z**2 + 4*z - 10. Let i(c) = 3*j(c) - 2*p(c). Calculate the remainder when 59 is divided by i(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of -r**5\/20 - r**4\/4 + r**3\/3 + 5*r**2\/2 + 8*r. Let b be v(-2). Let t be (6\/b)\/((-2)\/4). Solve 0 - t = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 5:34 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -0.1, -4, 0.22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.1 + 0.3. Let q = 2 + -1. What is the nearest to q in 4\/5, x, -3\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117512 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 12 + (5 - 11) + -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -51 or -14212\/279?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u + 299220 = u. Suppose -c = 5*c - u. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67 - 218 = -57*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -9*n**3 - n. Let j = 0 + 1. Let z be s(j). Let f be (-2)\/(-4) - 65\/z. Solve -4*l - 3*r = -4*r + 16, -f = 3*l - 2*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**2 - 2*h**2 + h**2)*(-2*h - h + 5*h) - h**3 - 5*h**3 + 3*h**3 + 7*h**2 - 9*h**2 + h**3 + 3*h**2.\nAnswer: 2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 + 2 + (-18)\/12)*-2. Suppose 2*s + 2*c = 46 + 82, 4*s + r*c - 257 = 0. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1853711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 159 - 5. What is the greatest common divisor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9605445 to the nearest integer?\nAnswer: 3099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -5*c**2 - c. Let r be m(1). Let o be 3 + r + 1 + 5. Differentiate -o*l - l + 3 + 5*l with respect to l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n**2\/17 + 2967070*n\/17 + 2967072\/17 = 0. Calculate n.\nAnswer: -1, 1483536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**3 + 11040*s**2 - 121131*s + 198126.\nAnswer: -3*(s - 3669)*(s - 9)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2 + 5*k - 4. Let r be b(-6). Suppose -2*t - r*t = -8. What is the derivative of -2 - 3*d**t + d**2 + 4 wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -0*j - 30. Let t be (j\/(-3))\/(6\/(-81)). Let q be (-2)\/5 + 99\/t. Which is the closest to 0?  (a) -3\/2  (b) -5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of 13*c**5\/60 - 3*c**2 + 7*c. Let l(p) be the first derivative of v(p). Let z(a) = -a. What is z(l(h))?\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200030332 (base 4) to base 16.\nAnswer: 2033e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*c + 3*m - 16 = -18*c - m, 5*c + 54 = 182*m - 300 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4155520034 - 3?\nAnswer: 4155520031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(48) + (sqrt(3072))**2)*3 + -6*(sqrt(147) + 2 - sqrt(147)) + sqrt(147))*-5.\nAnswer: -46020 - 95*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -10*j + 18. What is g(8)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 46802988 to the power of 1\/3, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 11*m**2 + 8*m - 19. Let q be t(5). Factor -297*h**5 - 2*h**3 + q*h**5 + 3*h**3.\nAnswer: -h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = 7*h + 11*h - 21*h - 0*h - 96, 5*h + 190 = 10*u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -406918355*o**3 + 51*o**2 - 1902*o - 165 wrt o.\nAnswer: -2441510130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (-5 - (7 - 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of x**6\/60 - x**4\/24 + 3*x**3\/2 - 2*x. Let k(q) be the second derivative of f(q). What is the first derivative of k(n) wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12493306 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 153273 is divided by 3066.\nAnswer: 3039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + 2 + -4 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 - ((-5 - -36) + -12 + 0)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/((-897)\/(-18))*(-292)\/876\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-10)\/(-6) - -16213*16\/48 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of -m**7\/560 + m**5\/6 - 13*m**2. Let d(t) be the third derivative of o(t). What is d(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -57  (b) 1\/4  (c) -35  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c - 9. Let n be z(9). Suppose -p + 5*v = n, -p = 2*p + 5*v - 60. What is the highest common divisor of 6 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppsppps. Give prob of sequence pppp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12.09 and 25?\nAnswer: -302.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 3*n + 12 + 15 = 0, 3*n - 7 = 20 - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*z + 4 = -7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -y + 1. Let i be 83 + 0 - (-6 + y). What is the derivative of 86 - i - 5*c**3 - 4*c**3 wrt c?\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, 0, 1, -3, -4, -124 in decreasing order.\nAnswer: 23, 1, 0, -3, -4, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 12:16 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 - 9*u**2 - u - 7. Give t(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 + 4. Let f be -19 + 17 - 2\/(-1)*3. Suppose -4*z = -f*l + 40, 2*l - 3*z + 2*z = 16. Calculate the highest common divisor of l and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 + -12. Suppose -20 = 5*k, -236 = -4*m + l*k - 3*k. Does 22 divide -85*3\/(m\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 225 + 227 + m - 452.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 5*k - 5 = 0, -28 = -4*a - 3*k + 7. Solve -a*c + 2*c = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/18 - ((-568)\/72 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8378414 + 89*j**2 + 8378414 to the form k*j**2 + w*j + c and give k.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -9.2 and 0.08322931896?\nAnswer: 9.28322931896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m + 9. Let u be i(-9). Suppose -3*t + 4 = -4*b, 3*b + 1 = -2*t - 2. Let c = -24 + 24.1. What is the third biggest value in u, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 9*s**3 + 6*s**2 + 66*s - 3. Let w(n) = -5*n**3 - 3*n**2 - 35*n + 1. What is -6*l(a) - 11*w(a)?\nAnswer: a**3 - 3*a**2 - 11*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/29 - 192984\/8778880.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1208 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -9 + 6*d + 9 + (-2 + 2 - 2)*(-d - 1 + 1) + 19*d - 62 + 105 - 44 in the form j + b*d and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 500, 578, 740, 1010, 1412, 1970, 2708, 3650?\nAnswer: 4820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 225288*n**3 - 450565*n**3 + 225280*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 389466701 divided by 1417.\nAnswer: 274853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 186*d - 127. Let f(i) = -i. Let u(v) = a(v) + 2*f(v). What is the first derivative of u(l) wrt l?\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-738)\/205*(-15)\/(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + 1*sqrt(19))**2 - (1 + sqrt(684))**2) + 3.\nAnswer: -662 - 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 - 2*t - 1. Let n(s) = -7*s**3 - 4*s**2 + 9*s + 8. Let h(l) = 6*a(l) + n(l). Let r(u) = 2*u**3 + 5*u**2 + 2*u - 3. What is -3*h(w) - 2*r(w)?\nAnswer: -w**3 + 2*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100676?\nAnswer: 2, 25169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -7*h + 12*h. Let p(o) = o**3 - 3*o**2 + o + 2. Let i be p(2). Suppose h*s = s, -4*z + 2*s + 104 = i. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 2 = -3*f, -1546*f - k = -1550*f + 21 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 390 + -1956\/5. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22.4601 times 4\nAnswer: -89.8404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1673028289 to the power of 1\/2, to the nearest integer?\nAnswer: 40903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 222011212011 (base 3) in base 15?\nAnswer: a2a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*g - g + 6*g - 2*g**2 + 2 + g**4 + 0*g as i + o*g**2 + w*g + r*g**4 + s*g**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -387*d**2\/4 + 9631*d + 24225 = 0. What is d?\nAnswer: -950\/387, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 363 + -6173\/17. Suppose -7*p - 15 = -2*p. What is the third biggest value in 1, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 139702 = 4*w, 121*w + 69851 = i + 116*w. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/7 + 11834988*w\/7 - 17508367620018\/7.\nAnswer: -2*(w - 2958747)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 AM and 2:54 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.4 times -0.0139?\nAnswer: -0.58936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*m + 2*m + m)*(-1 + 5 - 3)*(-152 + 824 + 379 - 139) as g + h*m and give h.\nAnswer: -1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 - 1. Let n = -5.4 + 4.4. Which is the nearest to n?  (a) -1\/4  (b) d  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**5\/9 + 32*g**4\/9 + 2*g**3\/3 - 100*g**2\/9 + 64*g\/9 = 0. What is g?\nAnswer: -2, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -60785, -60721, -60669, -60635, -60625, -60645, -60701?\n\"Answer: -q**3 + 71*q - 60855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -5, -6, -7, -8?\n\"Answer: -q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 r, and 1 i when three letters picked without replacement from {f: 2, r: 5, i: 1, b: 6, v: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 + 7 + 1\/((-3)\/(-48)). Suppose t - j = 2*i + i, 5*i = -3*t + 130. Suppose -612 = -38*f + t*f. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - -20. Calculate the highest common divisor of q and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -351500 divided by -74?\nAnswer: 4750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 396 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 2:30 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-2))**(-12\/13))**(-1\/19) assuming k is positive.\nAnswer: k**(-12\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6842 and 65310?\nAnswer: 718410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -59*t + 819*t - 28880 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1285, 1226, 1127, 988, 809?\n\"Answer: -20*v**2 + v + 1304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eec when three letters picked without replacement from cooococleocccoettoe.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1726916, 3453818, 5180720, 6907622?\n\"Answer: 1726902*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 AM and 6:28 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 - 8. Let -p*d**2 + 6*d**2 - 3*d**2 - 5*d = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45 + 59. Let a be 3\/(p + -2) + 4\/(-2). Sort -2, a, 1\/4 in ascending order.\nAnswer: -2, a, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 713463 is divided by 202.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 1 - g**2 + 0*g - 4*g + 9*g - 4*g. Let d(w) = -3*w**2 + 4*w + 4. Calculate -3*d(x) + 12*o(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -3*sqrt(180))*2.\nAnswer: -36*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 5*m**3 + m**2 + 2. Calculate q(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -89867, -89864, -89847, -89810, -89747, -89652?\nAnswer: -89519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0686 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -3*g**2 + 9*g + 3. Let n be x(3). Suppose 5 + 3 = -4*q. Sort 2, n, q in decreasing order.\nAnswer: n, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -186 - -44. Let n = -137 - m. Let o = -0.02 + 0.32. What is the closest to 2\/5 in -0.13, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3238398 and 258.\nAnswer: 139251114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(1\/9))\/f*f)**(3\/13) assuming f is positive.\nAnswer: f**(10\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 60005963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 104149 + 7*l - l**2 - 52105 - 52038. Let y be -2 + 10 - (1 + -1). What is k(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/10 of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(((-132)\/2)\/6)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 4*r - 50. Let s(m) = 19*m - 200. Let o(v) = -2*s(v) + 9*w(v). Let g(k) = 7*k. What is o(g(a))?\nAnswer: -14*a - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 3, -2\/3, -2\/11, -32\/5 in decreasing order.\nAnswer: 3, -0.1, -2\/11, -2\/3, -32\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -14 - 1 + 0*c - 5*c. Let y(k) = -k**3 - 7*k**2 - 5*k + 7. Let w be y(-5). What are the prime factors of x(w)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2132122 + 1220?\nAnswer: 2200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -141, 1\/8, -2.47?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/1)\/((-3)\/(-6)*-2). Let q(o) = 46*o - 5. Let c(r) = 851*r - 92. Let i(t) = 5*c(t) - 92*q(t). What is i(j)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of -y**6\/60 - 13*y**5\/60 + 7*y**4\/24 + 17*y**3\/6 + 5*y**2. Let l be d(-7). Solve -l = -m - 0*m + 4*u, -u = 4*m - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24\/(-21)*7\/(-2) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -116, -447, -1002, -1781, -2784, -4011?\nAnswer: -5462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.099543409957 and -2.\nAnswer: -2.099543409957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 + 257*x + 14222. Determine y(-83).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 4*x**3 - 3*x**2 + 5*x - 2. What is the tens digit of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19\/7 - 3. What is the closest to -2\/5 in -1, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 2:11 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 442 and 2468570.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4.1, 0.5, 0.2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -314, -146, 6, 50 in ascending order.\nAnswer: -314, -146, 2, 6, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*l + 485 - 2115 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*o**4 + 2425*o**3 + 35625*o**2 + 176875*o + 293750 = 0. Calculate o.\nAnswer: -470, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -81 by -22.\nAnswer: 81\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 11:03 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + d = -7, 3*c = 6*d - 7*d. Solve -4*j - c = -5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 3*u - 54. Let o be v(17). Let y(n) = -46*n + 7. What is the units digit of y(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 4963*w - 9930*w + 4971*w. Let y(t) = -15*t + 1. Give k(y(f)).\nAnswer: -60*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d + 0 + 0)*(-2 + 3 - 3) - 23*d + 42*d + d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2832\/(-21))\/4 + 0. Suppose -2*v + 53 = -5*q, -4*v - q = 2*q - 145. Let o = n + v. Is 1 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from kkccakk.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4990, 9988, 14998, 20020, 25054, 30100?\nAnswer: 35158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 21264853 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*r - r + 18*r**3 + 0*r + 2*r - 26*r**3.\nAnswer: -8*r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:34 PM and 5:31 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((-5*2*((4 + 0 + sqrt(1088) - (-2 + -1 + sqrt(1088) + sqrt(1088))) + 4))**2 + -1)*1.\nAnswer: -88000*sqrt(17) + 604495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2247252.\nAnswer: 2, 3, 7, 31, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - (sqrt(5) - (2 + sqrt(10)\/sqrt(2))) - (-2 + sqrt(20)))**2.\nAnswer: -8*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3\/2 + -13\/6. Let u(i) = i + 12. Let f be u(-9). Let j = f - 8\/3. Which is the nearest to d?  (a) j  (b) -5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/500 and -61\/90000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -36  (c) -43  (d) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 417*d + 4493. Is 3 a factor of k(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -31 * 2535.338.\nAnswer: -78595.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44298.\nAnswer: 2, 3, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1512 and 8224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 5*m - 1. Let w be l(3). Suppose 0 = q + 3*h - 3 - w, 0 = -5*q + 2*h + 68. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.10583083 rounded to five dps?\nAnswer: -0.10583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 528554 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*y**3 + 7*y**3 - 2*y**3)*(-3*y**2 + 5*y**2 - y**2) + 2*y**5 + 6*y**2 - 6*y**2 - 2*y**5 + 4*y - y**5 + y**5.\nAnswer: 10*y**5 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 - a - 1. Suppose 20 = 4*f - 12. Let n(m) = -3*m**2 - 1 - 2*m**3 - 5*m**2 - 7 - f*m. Let r(d) = d - 5. Let g be r(4). Calculate g*n(q) + 8*z(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/(l*l*(l\/(l*(l\/(l**4*l))\/l*l))\/l*l*l))\/l)\/l**(-5))\/(l**(-2\/5)*l**(4\/7)) assuming l is positive.\nAnswer: l**(-76\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k + 1. Let b(r) = 5*r - 5. Calculate 2*b(d) + 10*g(d).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 + 3)\/(-2) - 5\/(-5). Suppose z = 7*p - 2*p - 17355. Let g = p + -5471. Round g to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 23, 4, 0 in descending order.\nAnswer: 23, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.01  (b) -0.3  (c) -3\/4  (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -58d97 (base 15) to base 6\nAnswer: -10023024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -4369505 to the nearest ten thousand.\nAnswer: -4370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9387.414 nanometers in millimeters?\nAnswer: 0.009387414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26335716?\nAnswer: 2, 3, 11, 131, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-554)\/6 + 4\/(-6). Suppose -55*r + 32*r - 16074 = 148*r. Is r < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2, -21, -60, -125, -222, -357, -536?\n\"Answer: -f**3 - 4*f**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2 - 5*i - 1 - i + 5*i. Let w(m) = m**2 + 5*m + 3. Let u(l) = 2*q(l) + w(l). Give u(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265 is divided by 66?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*(0\/3)\/(-3). Suppose -3*y + 17 + 88 = z. Suppose 2*h - y = -3*h. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2055849 or 2056140?\nAnswer: 2056140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2106 = -3*x - 0*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g**5 + 6*g**5 - 4*g**5 - g**2 + (-g**3 - g**3 + 0*g**3)*(-97*g**2 + 26*g**2 - 93*g**2).\nAnswer: 327*g**5 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 3*t**2 - 6*t - 2. Let o(a) = a + 19. Let y be o(-13). Let r be m(y). What is the highest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.197 + 0.095. Let f = -0.292053 + u. What is f rounded to 6 dps?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/9*-2*3357\/(-373)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -429, -4991, -4\/7, -5 in decreasing order.\nAnswer: -4\/7, -4, -5, -429, -4991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -1082*v. Let w(x) = 28*x - 72. Let m(j) = -8*j + 21. Let t(a) = 24*m(a) + 7*w(a). What is l(t(f))?\nAnswer: -4328*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 977517 divided by -9\nAnswer: -108613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-15)\/(-6)*(5 - 1). Suppose -4*q - n = -2*q. Let u(j) = j - 6. Let g be u(6). Sort q, g, 5.\nAnswer: q, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6980 = 37*s - 13037. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 - 6*b**2 - b + 27. Let g be l(-5). Suppose 310 = g*d - 5. Is 37 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 50 in -0.4, 0, 0.03, -13, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(-4)*2392\/(-14651)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.46 and -0.5.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 24\/866869?\nAnswer: 24\/866869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 5*s = 1370, 4*n = 3*s + 13 + 1080. What is the remainder when n is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -677799*y**3 - 40161 wrt y.\nAnswer: -2033397*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-6)*9\/(-411). Let y = b + -5915\/1644. What is the common denominator of 31\/8 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 123 - -10?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -166503, -1332043, -4495667, -10656417, -20813335, -35965463, -57111843?\nAnswer: -85251517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 109879\/18 - 6109. Let q = -29\/135 + -7019\/1890. What is the common denominator of q and w?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 4451159 = -1691959. What is o rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91\/4 of a litre in millilitres?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, 0.3, -1\/221 in descending order.\nAnswer: 4, 0.3, -1\/221, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of -7*b**4\/8 - 205*b**3\/6 - 11*b**2 + b. Calculate the remainder when 164 is divided by n(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*2\/4 + (-4 - -8). Suppose 18 = -q*m + 7*m. Factor -3*i**2 - 2*i**2 - 7*i + m*i + 8*i.\nAnswer: -5*i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -127, -258, -399, -556, -735, -942?\n\"Answer: -z**3 + z**2 - 127*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8297 + 8300 - (0 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3.8 - -84.98\nAnswer: 81.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6 - 8)\/(16\/(-22719)). Let c = -2834 + f. Calculate the common denominator of c and 97\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, q: 2, h: 2, k: 7}. Give prob of picking 1 q and 2 h.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = -5*s - 5*i + 121, 0 = -s + 4*i + 28. Solve -s = 6*r - 0*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6881403 is divided by 2293661?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.25 + 2.75. Let r be 6\/15 + (-8)\/70. What is the third smallest value in -0.2, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 31, -1, 3\/4, 0.5, 2\/9, -0.4, -385?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11005.96 + 11006. What is the nearest to m in -4, 4\/3, -1\/19, -0.3?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1753.\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 241, 476, 707, 934?\n\"Answer: -2*v**2 + 241*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22494 = 19*t + 2*h + 22522, -7 = -4*t - 3*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-35))\/(22\/28*732\/2013)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6675 or -6691?\nAnswer: -6691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 636*n = 1968*n - 827*n - 694*n - 4914 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 22\/3  (b) -36  (c) 0  (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 67*a**2 - 32*a - 401. What is the ten thousands digit of c(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28340 = 19*y + y. Let t = y + 2960. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/6*72\/120?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 39\/(-117) + 65\/105\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6*(-77)\/(-22) - 13. Let p(z) = z - 10. Let g be p(7). Let x(k) = -k - 2. Let f(h) = -2*h - 7. Give c*x(v) + g*f(v).\nAnswer: -2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 370076 - 5?\nAnswer: 370071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.08 - -1.97. Let g = x + -8. What is the nearest to g in 2\/19, -5, 0.4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 297501 + -120487753\/405. Let q = 859 - 69577\/81. Let n = q + d. Which is smaller: -4 or n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 + 9*q**2 - 7*q - 5. Let u be (2 - 1)\/(5\/40). Let f be r(u). Solve -f*v = 4*t - v + 6, 0 = 3*t - 2*v + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/43340 and 69\/19700.\nAnswer: 216700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-48)\/(-32) - (-2)\/4*1. Suppose -14 = j*g + 2*r, -2*g + r = -4*r + 28. What is the common denominator of -36 and (g\/60 - 0)\/((-6)\/284)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175104 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 - 552\/(-39) - (-2)\/(-13). Let y(b) = b**2 - 10*b + 7. Let h be y(9). Let s = a - h. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1154578260.\nAnswer: 2, 3, 5, 11, 31, 56431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -56448 + 0?\nAnswer: -56448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2130\/9 + (-2)\/(-6). Suppose -i - d = -0*i. Is (i\/9)\/((-2)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ubyu when four letters picked without replacement from {x: 4, y: 2, l: 6, b: 2, m: 1, u: 3}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 6:58 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -4*a**3 + 2*a + 2. Let t(r) = 9 - 68*r**2 + 211*r**2 - 73*r**2 - 16*r**3 - 70*r**2 + 9*r. Determine -9*m(j) + 2*t(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uyr when three letters picked without replacement from eryvyruwwwywwr?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26 + -27. What is the closest to 0 in -0.3, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 101101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 593904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 711285134.\nAnswer: 2, 7, 17, 929, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 - -15. Let k be -1*(1\/2)\/(-31 + 30). Which is the closest to 3?  (a) -5  (b) w  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 - 21*i + 108. Let v be ((-11 - -24)*(-1)\/(-1))\/1. Let s be b(v). Solve -4*r - 8 = -s*q, -4*q + 0 = 4*r - 32 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5969.1989 or 1\/3?\nAnswer: 5969.1989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -235*z**2 + 306*z**2 - 87*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1593 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -191 (base 14) in base 10?\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -4425162483645 and -14.\nAnswer: -4425162483659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32895101.\nAnswer: 32895101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(450)*4)\/((sqrt(576) - (sqrt(576) + sqrt(576)*-1 - sqrt(576)))*-5).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -4*l. Let w(c) be the second derivative of 47*c**3\/6 - c**2 + 3*c + 11. Determine w(o(b)).\nAnswer: -188*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 172 and 3913.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 0 - ((6 - 19) + 7 + 10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -3*p**3 - 2*p**2 - p - 2. Let x be d(-3). Let j = 86 - x. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b + 1. Let c(k) = -6*k + 4. Let g(s) = c(s) - 3*l(s). Let m be g(8). Let u = m - -48. Calculate the remainder when u is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 720 and 600.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-27)\/18)\/(1\/(-8)). Suppose -c - c = -t. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 362 - 811. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 515 + -514. Suppose 4 - 28 = -2*t. What is the smallest common multiple of t and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 4*p**3 + 3969056*p**2 + 7938100*p + 3969048 = 0.\nAnswer: -992262, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 185*y - 365 - 4 = -3144 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a + a - a - a**3.\nAnswer: -a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 34\/9*o**2 - 2\/9*o**5 + 4\/3*o + 2\/3*o**4 + 0 + 10\/3*o**3.\nAnswer: -2*o*(o - 6)*(o + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -3*c + 16. Suppose -45 = 4*a - 33. Let o be d(a). Solve -5*l = 4*i - 0*i + o, -3*l - 3*i - 18 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.6 + -5. Let w = a + 0.8. Sort w, -1, -2\/11.\nAnswer: -1, -2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 25401 + 116392. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -0.3, -0.7, 7, 2\/7, -0.4 in ascending order.\nAnswer: -0.7, -0.4, -0.3, 2\/7, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kqqqqqkqqkk. What is prob of sequence kk?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 108377 and 243?\nAnswer: 26335611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -5  (c) -4\/7  (d) -59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (27\/12)\/((-2)\/4 - 91\/(2912\/320)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.294 + -0.034. What is d rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.2 + 3.3. Let h = -0.2 - -0.3. Which is smaller: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-198)\/11*(5\/(480\/(-792)))\/(6\/(-4))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o - 2*o + 96 = 0. What is the units digit of 2\/o - 8\/(192\/(-2348))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 39 + 50 = 0. Is (d - -3770) + (-5)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**4\/5 - 66914*h**3 - 1672791*h**2\/5 + 2275058*h + 5353040 = 0. Calculate h.\nAnswer: -334565, -8, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 1, 5, 46, 4 in descending order.\nAnswer: 46, 5, 4, 1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 472682\/2249 or 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + 8*n - 12. What is p(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1369, -2796, -4221, -5644, -7065, -8484?\n\"Answer: q**2 - 1430*q + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 463422122?\nAnswer: 2, 19, 283, 43093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*c - 25 = -117 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2\/3 + 5\/12. Let r = 0 + 0.2. Sort k, r, -0.04 in decreasing order.\nAnswer: r, -0.04, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 divided by -84153.\nAnswer: -9\/28051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 746 - -367. What are the prime factors of m?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9264 and 228156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1868 + -2872?\nAnswer: -4851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*g - 5*i - 28, -3*i + 6 = 16*g - 12*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -51716441*j**3 + 595045*j**2 + 6*j wrt j.\nAnswer: -310298646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 1 + -8 + 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -41*54\/(-32472)*110\/10\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 131894 * 183.\nAnswer: 24136602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -11*c + 76. Let h(y) = 10*y - 73. Let n(i) = -2*h(i) - 3*k(i). Differentiate n(l) wrt l.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -11534424 - 2968424. Let q = k - 2025712. Suppose -s = s + q. Round s to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18587188 to the power of 1\/2, to the nearest integer?\nAnswer: 4311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -25*a**3 - 2*a**2 + 2*a - 1. Determine d(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39b520 (base 15) to base 9.\nAnswer: 5184453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -26*c. Let r(p) = -3*p**2 - 61*p + 48. What is w(r(x))?\nAnswer: 78*x**2 + 1586*x - 1248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 284394347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-5*(sqrt(136) + (sqrt(136) - sqrt(136)*-2 - sqrt(136))))\/(sqrt(968) + 4*(sqrt(968) + (-2*sqrt(968) - sqrt(968)) - sqrt(968)) + sqrt(968)).\nAnswer: -6*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-29)\/4)\/(8\/32). Let l = -14 - q. Suppose 4*n - 5*j - l = -n, 5*j - 5 = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 10*j - 23455. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26 - 27. Which is smaller: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36 + (-51 - -10) + (35 - 2)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 350806484 is divided by 552?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/1 + 12 + -2. Let r = 6 - 3. Suppose h*y**r + 15*y**2 - y + 2*y + 8*y + 2 + 3*y**4 = 0. Calculate y.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 3*i + 81, -4*b = 5*i + 11 - 74. Suppose 12*j = -b*j + 3128. Solve -2*f - j + 88 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 7*v - 80. Let k = v + -20. Suppose k = 5*l - 0 + 15. Which is greater: l or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/(-5))\/((12\/4)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -11253900 divided by -2813475?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9062*h = -25343*h + 68284 - 247375 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56812?\nAnswer: 2, 7, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-3))\/((-120)\/(-144))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 - 10*d + 6. Let p be v(10). Let w(t) be the second derivative of 1\/90*t**p + 0*t**3 - t - 1\/36*t**4 + 0*t**2 + 0*t**5 + 0. Factor w(y).\nAnswer: y**2*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1722 (base 9) in base 15?\nAnswer: -5cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 1. Suppose 5*m + 2*k = 204, 4*k = -m + f*k + 57. Let v = 85 + m. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12*z - 2*z - 4 - 9*z + 5*z wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 52 = -9*u + 2*u, 130*w = 133*w - 4*u + 31 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 2 k when four letters picked without replacement from bkssbpsssks.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.1491115 - 9.1491085. Let f = 2 + 7. Let h = f + m. What is h rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20016352 and 36762.\nAnswer: 660539616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1223219257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 68387219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 30 = -4*b - 6, -4*b = -2*l + 12. Solve -l*p + p + 10 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -8*n - 106. Suppose -18*j + 84 = -24*j. Let m be d(j). Let p be -2*(1 - 2)*1. Solve -m = 2*z - w, -5*z + 3*w + p*w - 10 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-3\/10)\/(l*(l*l**(-1\/8))\/l))**(-6\/11)\/((l\/(l**(-7)\/l*l))\/l**(2\/15))**(3\/8) assuming l is positive.\nAnswer: l**(-127\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**4 - 447356*d**3 + 447352*d**2.\nAnswer: 4*d**2*(d - 111838)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 55981610 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, 447, 64, -2?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 31742 divided by -587\nAnswer: -31742\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.08 + 0.163. Let r = k + -0.083. What is the fourth smallest value in -2, -0.1, r, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120) - (-6*-2*sqrt(120) + sqrt(120)))\/(sqrt(27)*-1))\/((sqrt(32) + (sqrt(32) - sqrt(32)*2))\/sqrt(4) - (3*sqrt(8) - sqrt(8))*2) + 2.\nAnswer: -sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 148, 3, -2, -78 in descending order.\nAnswer: 148, 3, -2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 108 and 306?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 2:42 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 63*w + 2339. Give z(-36).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 113303646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -7.4. Suppose 0*y - 63 = -3*y. Suppose 3*l + 3*i - y = l, 5*i = 25. Put c, 0.2, l in descending order.\nAnswer: l, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 - z**2 + z - 1. Let i(k) = 11*k**3 - 2*k**2 + 6*k - 7. Let w(y) = -3*a(y) + i(y). Let g be w(1). Solve 4 = -4*j - g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 107*n + 274*n + 273 - 268.\nAnswer: 381*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-18)*(1 - 25)*(-54 + 51). Solve l*a + 10 = -6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) 29  (c) -5\/7  (d) 0  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -74892*p**3 + 8306*p + 14?\nAnswer: -449352*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 25 + 10321253?\nAnswer: 10321322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -6*u**2 + 39*u - 105. Let g(b) = 2*b + 21. Let w be g(-9). Let n(s) = -7*s**2 + 40*s - 104. Let o(x) = w*n(x) - 4*l(x). Find i, given that o(i) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-5) - 3267\/(-55). Suppose 24 = h - 0*h. What is the greatest common factor of y and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 2*m + 8 = 4*m, 4*m = 2*y - 2. Let x = y - -5. Let g = 1 + -1. Solve g = v + v - x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -3*r + 4. Suppose -336 = -7*j + 182. Suppose n = -r + j. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 + m**2 - 6*m - 3. Let x be v(5). Let b = 145 + x. Calculate the greatest common divisor of 156 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 380 + -381. Let d be 10\/(-2)*(0 - 1). What is the fourth biggest value in v, 5\/3, 0, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -2701  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*r - 22 = 6*r. Sort -5, -3, r in increasing order.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5711 is divided by 1109?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-8) - (-3)\/(-4). Suppose -140*n + 3*y + 191 = -138*n, -2*n - 4*y + 170 = 0. Let s = o + n. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -37*f**2 - f + 19*f**2 + 0*f + 8*f**3 + f**4 + 20*f**2 + 1 as c*f**3 + s*f**2 + o*f + d + h*f**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 2*u**3 + u. Let i = -2 - 0. Suppose -2*a = -2*m - 20, 230*a + 56 = 233*a - 5*m. Let n(g) = -2*g**3 - 1. Calculate a*v(d) + i*n(d).\nAnswer: -2*d**3 - 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24 + 25. Let r = p - 0.82. Round r to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -2  (b) -2\/11  (c) 373  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqqkk. What is prob of picking 4 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(84) + 1*sqrt(84)*3 + sqrt(84) - sqrt(84)) + -2*sqrt(84)*-1))\/(-6*(sqrt(192) - sqrt(192)*1) + sqrt(192) + -6*sqrt(192)*2).\nAnswer: -9*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -590566ab - -3?\nAnswer: -590566a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 0*w - w - 2 + 2. Let a(m) = -7*m - 3. Let c(y) = y + 1. Let k(b) = -a(b) - 3*c(b). Calculate k(s(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a minute in milliseconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of -4\/33*m**3 + 0*m**2 + 7\/11*m**7 - 3*m + 14\/165*m**6 + 6\/11*m**4 - 93\/110*m**5 + 0. Suppose a(y) = 0. Calculate y.\nAnswer: -1, 0, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 PM and 5:43 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 66604266 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 - 31 - (4 + -37 + -20).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 456 by 119075.\nAnswer: 456\/119075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 8*v = -62, 14 = 2*j + 26*v - 28*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + -15732?\nAnswer: -15734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do -2832180 and -2832178 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*j**3 - 342*j**2 - 2628*j - 1782 = 0. Calculate j.\nAnswer: -33, -9, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1582033?\nAnswer: 1582033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -13116?\nAnswer: 1\/13116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1084462 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x**2 + 125*x - 520. Let k be i(58). Solve -2*g + k*j = -8 - 0, -4*g - j + 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the third derivative of -o**4\/24 - 130806*o**2. Let i be 1\/((-7)\/(-3) + -2). Let d be ((-4)\/(-6))\/(2\/i). Calculate h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 4*s**4 - 1132*s**3 + 19004*s**2 + 20140*s = 0.\nAnswer: -1, 0, 19, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 264 = 2*z. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/27)\/n**(-1\/8))\/(n**(-3)*(n\/(n\/(n\/(n**(2\/3)\/n))))\/n) assuming n is positive.\nAnswer: n**(587\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + 3\/(6\/16). Solve 3*z = -4*p + q, -3*p + 4*z + 24 = -7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 - b. Let o be (-2)\/4 + 25\/10. Let h(j) = 6*j**2 + 2*j. Let l(k) = o*z(k) + h(k). Let m(g) = -7*g**2. Give l(m(s)).\nAnswer: 196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -30*12\/(-30)*1*(-1)\/1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*x + 4*x - x)*(2*x + 2*x - 2*x) - 215*x**2 - 161*x**2 - 303*x**2.\nAnswer: -661*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-98)\/56*240\/(-42).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4961?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - p + 5*y = 1927, 3*p + y - 2923 = 0. Suppose 0 = 25*s - 27*s + p. List the prime factors of s.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.4409 and -1.\nAnswer: 1.4409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/13?  (a) -2\/21  (b) 0.02  (c) 0.3  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hssf when four letters picked without replacement from {h: 3, o: 2, s: 3, f: 5}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c + 2. Is u(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -9) + -13 + 15 + 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/203, -8, -5946, -4, -5, 2\/7 in increasing order.\nAnswer: -5946, -8, -5, -4, 4\/203, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -277*g + 1. Let f(a) = -7*a**2 + 15*a + 40. Let z(p) = -p**2 + 3*p + 8. Let m(l) = -6*f(l) + 30*z(l). Determine m(i(q)).\nAnswer: 920748*q**2 - 6648*q + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*g - 68*g - 42*g.\nAnswer: -185*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, -13.8, -86, 5, -12, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.025066 millilitres in litres?\nAnswer: 0.000025066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -30, -0.104 in decreasing order.\nAnswer: -0.104, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11.6?  (a) 2\/11  (b) -2\/27  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 times 1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 7 + 0*y**2 - 10 + y**2. What is m(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1812e2 + -2?\nAnswer: 1812e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2 + g**2 + 0*g - 3*g + 2*g. Let o be t(-3). Let l be (4 - 3)*(-112)\/(-2). What is the highest common divisor of o and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 3*c**2 + 2*c - 5. Let o be n(-5). Suppose 2*a = 4 + o. Solve 0 = -3*b + 5*y - a, -3*y - 28 = 5*b - 5*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*h**3 + 58508*h**2 + 124560*h + 15568 = 0. Calculate h.\nAnswer: -973, -2, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -121564 (base 7) in base 6?\nAnswer: -250551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*v + 0 = 126. Calculate the remainder when 82 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 - 6*j + 3. Let u be x(-3). Let h(b) = 2*b**2 - b + 27. List the prime factors of h(u).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 80, -52, 3.\nAnswer: -52, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -73*w**2 + 187*w + 907. Give h(-5).\nAnswer: -1853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -3. Let n = o - -5. Let j be ((-10)\/n)\/((-4)\/8). Solve 18 = -j*g - 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -64 + 26. Suppose 0 = -5*d - 16 - 109. Let u = d - w. What is the greatest common factor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 258853, 258377, 257085, 254569, 250421?\n\"Answer: -68*o**3 + 258921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -11719013\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1201 - 11102100?\nAnswer: -11100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + (25 - 26) + -66.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/6*(-42)\/(-2). Suppose v = -3*y + 4*y. Calculate the remainder when 39 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -4*r**2. Let x(u) = 491*u + 23. Give o(x(b)).\nAnswer: -964324*b**2 - 90344*b - 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -348 divided by 6.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h**(-2\/5)\/h*h)*h)**(-33)\/(h\/((h**(2\/5)\/h)\/h*h))**(-27))**(-3\/4) assuming h is positive.\nAnswer: h**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*d**2 - 8 + 28*d**2 - 9*d**2)*(-d + 4*d - 2*d).\nAnswer: 3*d**3 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -91*k + 5 + 32*k - 309*k to the form z*k + u and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Do -3907 and -1253 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/38, -3\/23, -0.1092 in decreasing order.\nAnswer: -0.1092, -3\/23, -5\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 306785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hcpclhleeepeehe. What is prob of picking 1 c and 2 l?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t = -5*u + 16922, -2*u - 4323 = -t - 11096. Calculate the greatest common divisor of 28 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.62?  (a) -2  (b) 3  (c) -9990  (d) 4  (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 61 (base 7) in base 3?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7441 is divided by 355.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/4*12\/15. Let p(i) = -i**2 - 2*i. Let f be p(m). Suppose 2*o - 15 - 249 = f. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -181 divided by 23.\nAnswer: -181\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1607 - 1605. Suppose 0*k**4 - 8\/3*k**3 + 0 + 0*k**s + 4\/3*k**5 + 4\/3*k = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 80*q. Let g(v) = -25867*v**2. Determine y(g(n)).\nAnswer: -2069360*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**3 + 4*a**2 - 4 - 2119*a + 1066*a + 1055*a. Calculate b(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-86562)\/(-4122))\/(42\/(-58)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 528 and 1408.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x**2 + 4*x. What is s(4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/28 - (2 - (-506)\/(-8)). Suppose -10 = 3*p - l. Calculate the greatest common divisor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - -5. Let s = 2 - i. Let c = s + 24. Calculate the highest common factor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iaaaaiiaaaaaaaaaaii. What is prob of picking 2 i?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 310361.6025 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f**2 - 21106390*f - 42212800 = 0. What is f?\nAnswer: -2, 4221280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 955624992*d + 369965559 wrt d.\nAnswer: 955624992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 6*h - 88. Let v be a(19). Solve v*p - 32 - 98 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5206 + -617. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1954976 and 136001.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/20*(-9)\/81*-45\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1315136, -1315143, -1315150, -1315157, -1315164, -1315171?\nAnswer: -1315178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of -2*i**5\/15 - 5*i**4\/24 - 5*i**3\/6 - 12*i**2 + i. Let v(d) = -15*d**2 - 9*d - 9. Calculate 11*m(s) - 6*v(s).\nAnswer: 2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*y**3 - 340*y**2 + 325*y + 70 = 0.\nAnswer: -7, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -30, -68, -128, -222, -362?\n\"Answer: -2*j**3 + j**2 - 27*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -389161744 + 389161702.9999886. Let y = k - -41. Round y to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -4\/19 and -0.981 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 42*g**2 - 4*g - 24*g**2 + 2*g**3 - 17*g**2 to t + f*g + m*g**2 + l*g**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 5:32 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (5\/4)\/(325\/195)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((((-112)\/35)\/8)\/(16\/(-260))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12917295.\nAnswer: 3, 5, 151, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1374622*w + 1942415 wrt w.\nAnswer: 1374622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1.8024143678 + -112\nAnswer: -113.8024143678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13607046 and 1998.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 - 9*g - 9. Let d be l(-8). Let m(q) = 28*q - 4. Let f be m(d). Let w = f - -37. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 663100 and 18620?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 + -4 + 18 + -3. Let m = -13 + s. Does 14 divide (-42)\/(-2) - 6\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -51 - -132. Let v = -33 - w. Let n = -796\/7 - v. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-3*(-4)\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4264 divided by -845.\nAnswer: -328\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3242*x**3 - 1297*x**3 - 1950*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 166 = -5*u - 66, 7*u + 80 = 10*u + 2*g for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 217\/(775\/(-25))*(-12)\/(-98)*6\/(-4).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/1*(-7)\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10648, 21483, 32318?\nAnswer: 43153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 27584 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34800)\/(-3200)*(-128)\/(-48)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.2761521 meters?\nAnswer: 0.0002761521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 36 + -33. Let d = -1 + 0.9. Is q at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*g**4 + 55*g - 52*g - 22*g**4 + (-2 + g + 2)*(-2*g**3 - g**3 + g**3) + 0*g**2 + g**4 + 0*g**2 to s + t*g + b*g**2 + u*g**3 + l*g**4 and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3124652707?\nAnswer: 11, 829, 342653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9221*i*k - 2*i - 5*k + 435 wrt i.\nAnswer: 9221*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 e when four letters picked without replacement from {c: 11, e: 3}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -141*x + 67*x - 21 + 52*x - 42 - 8. Calculate i(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**2. Suppose -80*p + 57*p = -9798. Suppose 0 = -420*u + p*u + 330. Let k(v) = -10*v**2. Determine u*s(b) + 6*k(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4*g + 6 = 0. Let o(d) = -4 + 5*d**3 - 7*d**g + 3*d**3 - 2*d + 3*d**2 + 1. Determine o(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 5*x = -16, -3*x = 4*a - a + 9. Let c(f) = 2*f**3 + 0*f + f + 4*f**3. Calculate c(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 352.99 + -355. Let i = -3944297.4899899 + 3944299.5. Let b = c + i. Round b to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q - 3*q - 2*q**2)*(-2*q**3 + 5*q**3 - 4*q**3).\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(-9)\/84*((-2)\/2)\/(268\/8442).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 2*w + 4 = 0, 1 = -3*c + 4*w + 9. Let l(q) = 13 - 3 - q + 4*q**2 + 2*q**2 - 5*q**2. What are the prime factors of l(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54 - 54 + m - 6655*m**3 + 6705*m**3 - m.\nAnswer: 50*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -b - 6. Let k = 7 + b. Let u = -6 - -4. Are k and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 108 + -190. Let t = -37 - g. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7085.29 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 614 + -609. Suppose g*p + 3*s - 7305000 = 0, -2*p + 0*p - s + 2922000 = 0. Round p to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -630 - -629. Which is the nearest to -3?  (a) g  (b) -2\/5  (c) -0.2  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -285*d + 133*d - 33*d**2 + 132*d to q + m*d + l*d**2 and give l.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 0.1  (b) 1545  (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 654*o**2 + 3399*o\/2 - 4707\/2.\nAnswer: 3*(o - 1)*(436*o + 1569)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 704 = 40*f. Let t = -12 - -10. Let u be f\/(-6) + t - 0. Sort u, -5, 0.1 in descending order.\nAnswer: u, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -130374 - -311998. Suppose 9*o - 186476 = d. Round o to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2 + 8*m - 4. Let r be s(5). Let q = 33 - r. Let t = 43 + q. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 2 + 4. Suppose -11 = o*v - 17. Is -1*v\/2*-2234 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/1 - (-6)\/3. What is the third derivative of -b**5 + 0*b**2 + 5*b**l + 2*b**5 - 4*b**2 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**3 + 3*g**3 + g**2 + g**3 as l*g**2 + x*g + p + k*g**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1727 + -1702. Put -4, 4, w, -5 in decreasing order.\nAnswer: w, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z*z\/z**(-21)))**(-50) assuming z is positive.\nAnswer: z**1150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20070152183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -246*a**2 - 5448*a + 6. What is the least common multiple of i(-22) and 21?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 43 and 167.0922.\nAnswer: 210.0922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 5 + 0)*(-9*j + 2*j + j)*(0*j**2 + 4*j**2 - 6*j**2) as q*j**2 + r*j + x*j**3 + o and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (-12 - -7)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95*u = 26*u + 1089 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -24*(-1)\/3 + 110\/(30\/6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*g - 2*g. Let c be (-110)\/(-9) - (60\/(-540) - (-2)\/6). Solve 0 = -2*z - 6, -3*a + g*z = -z + c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -17, -2, 1199, 4.\nAnswer: -17, -2, 4, 6, 1199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 - 3. Let c = s - 13. Suppose 15 = y + c. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r**3 + 411*r - 50*r + 233*r + 4*r**3.\nAnswer: 2*r**3 + 594*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4880737 + 2411.564\nAnswer: -4878325.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -10*s**3 + 2*s**2 + 2*s. Let x be c(-1). Let t(o) = o**2 + 7*o + 28. What is the units digit of t(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 208.6054 to 1 decimal place.\nAnswer: 208.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -108 - -145. Suppose 3*y = u - 136 - c, 356 = 2*u + 4*y. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/4*(-24)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000005798 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4976*t - 4456*t + 17160 = 0 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 6) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 254 is divided by 45?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 1:47 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 33 + -10?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*m - 8 = 18*m. Suppose 5*u + 0*u = -m*j + 2931, -u - 2*j + 585 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*o + 2800 = -87*o. Is -701 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 5:03 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 16680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -418208 (base 9) to base 6.\nAnswer: -5155355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 + y**2 - 5*y - 3. Let s be z(-2). Solve s*i + 25 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (3 - -13) - (18 + -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3242*p = d - 3244*p, 5*d + 19 = -9*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 28055?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1130299 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24418, 21781, 19144, 16507?\nAnswer: 13870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 17998063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**4 - 1674*i**3 + 3354*i**2 - 1678*i.\nAnswer: -2*i*(i - 1)**2*(i + 839)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -168, -171, -174, -177?\n\"Answer: -3*q - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 83243.16 to zero dps.\nAnswer: 83243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**2)\/u)**(-1\/21)\/(u\/(u*u**18)*u\/(u*u*u**(2\/23)*u)*u) assuming u is positive.\nAnswer: u**(9265\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (-10)\/15 + 49\/(-12)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 361\/22 + -33\/2. Let b = -20 + 13. Let i = -7 - b. What is the closest to i in -1\/6, -1\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 7:36 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.72535 decades in centuries?\nAnswer: 5.172535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 381, 1000, 1671, 2394, 3169, 3996, 4875?\n\"Answer: 26*j**2 + 541*j - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 6*t - 76*t + 13260 = 0. Calculate the greatest common divisor of t and 2067.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*r**2 - 40 + 64 - 25.\nAnswer: 5*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r - 78. What is w(0)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 895.2084 minutes to days.\nAnswer: 0.6216725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1757 - -28?\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 3914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w - 3. Let d(q) = -2. Let u(j) = 3*d(j) - 2*i(j). Let k(h) = -177*h + 99. Let n(v) = 11*v - 6. Let o(y) = 4*k(y) + 66*n(y). Calculate o(u(r)).\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -103, -115, -127, -139, -151?\n\"Answer: -12*k - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 2*w = 0. Let d(c) be the second derivative of c + 1\/2*c**2 + 0 + 1\/20*c**5 + w*c**4 + 0*c**3. What is the first derivative of d(b) wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(5*(sqrt(204) + -1*sqrt(204)) - sqrt(204))*-5)\/(-3*-6*-2*sqrt(48)\/sqrt(4)).\nAnswer: 5*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, -5, -16.9, 0.1, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 72 + -38. Let a = 13 - -31. Suppose -a = -3*z + i. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1110, 4685, 10620, 18897, 29498, 42405, 57600?\n\"Answer: -3*f**3 + 1198*f**2 + 2*f - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1730, 3525, 5356, 7241, 9198, 11245, 13400?\nAnswer: 15681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 46244191 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 7:29 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7449844.9 rounded to the nearest 100000?\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 290939 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - 14112403?\nAnswer: -14112411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 244*g**2 + 1 - 242*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 9*q - 6 - 11*q + q**2 + 0*q. Let o be u(4). Which is the second smallest value?  (a) 0.5  (b) o  (c) 4\/3  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 AM and 4:34 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -171\/13 + 13. Suppose 31 = -5*k - 4. Let h be 4\/8*4\/k. Put r, h, -5 in ascending order.\nAnswer: -5, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9272 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 PM and 12:30 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -21*w + 80 - 24. Let p(n) = n**3 + n**2 + n + 1. Let b(s) = -31*s**3 - 2*s**2 - 3*s - 3. Determine w*p(i) + b(i).\nAnswer: -28*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fhu when three letters picked without replacement from hdhsffiddfu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1  (b) 1  (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15670 - 3237 - 7137)*(1 - v**3 - 1).\nAnswer: -5296*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.17801 tonnes in kilograms?\nAnswer: 6178.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 8:34 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -0.1  (b) -8  (c) 1\/2  (d) 0.038  (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*l - 4*l - 132. Let r = l + -29. Solve 0 = -u - r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, v: 1, s: 2, t: 1, y: 1, a: 1}. What is prob of sequence ya?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 191544 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -3*l - 10. Let h be (-2)\/(-7) + 390\/(-42). Let b be f(h). What is the greatest common factor of 85 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 + 3*l - 4. Let y be h(-4). Let n(i) = i + 4. Let a be n(y). Suppose 0 = 5*b - 5, f + a*b - 26 = -8. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, 1\/3, -4\/5, -1, 2.31, 5\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -8794140.6 and 7718?\nAnswer: 8801858.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 5*r**3 + 5*r**2 - 4*r - 5. Let z(b) = b**3 + b. Let i(q) = d(q) - 4*z(q). Suppose 5*y + 30 = -0*y. Calculate i(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {b: 1, n: 1, z: 1, c: 2, p: 1, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 - 8*q**2 + 11. Suppose -3*d + d = 2*r - 2, 3*d + 5 = -5*r. Suppose -35 = 5*u + d. What is the remainder when 31 is divided by s(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c. Let n be o(-6). Let h be (2\/n)\/(2\/(-66)). Let l = h - 6. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, 6\/19, -1\/3, -3 in increasing order.\nAnswer: -3, -1\/3, -1\/6, 6\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.60836 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -141 and 6.2?\nAnswer: -874.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (18\/8)\/((-14)\/(-168)). Let k be 7\/14 + r\/6. Suppose -4*v = l - 14, 0 = -v + 4*l - 5*l + k. Which is greater: 2\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -3*b**4 + 4*b**3 - 4*b + 2. Let s(q) = q**4. Suppose z = 3*z. Suppose -3*p = -z*p - 3. Let d(l) = p*x(l) + s(l). Factor d(f).\nAnswer: -2*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(550))\/sqrt(11))\/sqrt(10) + sqrt(55)\/(sqrt(11) + sqrt(121)\/(2*sqrt(11))).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 3. Suppose z = -3*i + i. Solve i = -k + 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 285214160 + 101.\nAnswer: 285214261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -98*p. Let k(r) = -4*r**2 - 3*r + 3. Let g(z) = -7*z**2 - 5*z + 5. Let u(t) = 3*g(t) - 5*k(t). Determine j(u(h)).\nAnswer: 98*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - -6 - 5) + (-9)\/1. Let r(d) = -24*d - 21. Calculate the lowest common multiple of r(h) and 12.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-8 + 16)) + 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110001 - 11?\nAnswer: 102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*f - c, 0*f + 2*c - 8 = -4*f. Let q(z) = 3. Let l(g) be the second derivative of -g**3\/6 + 7*g**2\/2 - 5*g - 4. Determine f*l(j) - 7*q(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum -10836.53132068 and 5.\nAnswer: -10831.53132068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119*n**3 - 120*n**3 + 243*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-2))\/((-609)\/(-102) + (10 - 16))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 1)*(-1 + 2 + 1 + (3 + 2 - 4)*(4 + 0 - 2) - 2 - 2 + 2)*(0*d**4 - 3*d**4 + 5*d**4).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -67, -81, -109, -157, -231, -337, -481?\n\"Answer: -j**3 - j**2 - 4*j - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(189)*-1 - sqrt(189)))\/(sqrt(175)*-4) + 3 + sqrt(3267) + 3 + 0 + sqrt(3267))**2.\nAnswer: 810*sqrt(3) + 54819\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28)\/sqrt(36))**2 + sqrt(7) + sqrt(42)\/(sqrt(24)\/sqrt(4)).\nAnswer: 7\/9 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in sixty-five thirds of a week?\nAnswer: 3640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 45220 (base 9) to base 16\nAnswer: 7575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -39*k**4 + 21*k**3 - 11*k**2 + 5*k + 91913609 with respect to k.\nAnswer: -156*k**3 + 63*k**2 - 22*k + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 18\/(-90) + 46\/5. Let a(b) be the third derivative of b**6\/120 - b**5\/6 + 5*b**4\/12 - 5*b**3\/3 - 4*b**2 - 90. Give a(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 PM and 4:18 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210*u - 3*w + 714 = -324, -2*u = -3*w - 0 - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26*7260\/216 - (-1)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 2*t**3\/9 - 34*t**2\/9 - 76*t\/9 = 0.\nAnswer: -2, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 14*j - 10*j - 2*j. Let g be (7\/21)\/((-1)\/(-9)). Let d(n) = n - g*n + 2*n + 4*n. Calculate d(u(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -7*u**2. Let k(q) be the second derivative of 19*q**4\/12 - 25*q. Determine h(k(x)).\nAnswer: -2527*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 5, -4, 48\/19, -3?\nAnswer: 48\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1074216 + -767129. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 14109336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of v**4\/12 - 2*v**3\/3 + 2*v**2 - v. Let d be (-2 + 7\/5)*-5. Let n be h(d). Is 2\/15 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -140107 + 7553*a**2 - 7641*a**2 + 140107.\nAnswer: -88*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-22 - -8) + (-9360)\/(-672))\/(4\/(-105))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*k**2 - 15*k**2 - 63*k**2 - 63*k**2 - 152*k**2.\nAnswer: -272*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3361.772 minus 24646?\nAnswer: -21284.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (11 + -1)\/((-70)\/(-1880)). Let l = 268 - k. What is the common denominator of l and -51\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -8 + 2\/(1 - 0). Let h = -8 - w. Let z(d) = 3*d + 5 + 2 - 1 - 5. Determine z(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -4707612\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kxa when three letters picked without replacement from {k: 1, x: 3, w: 1, a: 7, d: 2, s: 4}?\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 9*z = -6*z - 3851, -2*z = -5*l + 9656. What are the prime factors of l?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (h - h - h)*(-120 + 808 + 154) - h - 4*h + 4*h as m + u*h and give u.\nAnswer: -843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*l + 2*l**2 + 11*l - 24*l - 52*l as f + i*l + p*l**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -7 and -4439\/738 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2004, 1999, 1990, 1977, 1960, 1939?\n\"Answer: -2*y**2 + y + 2005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 715*q**5 - 52*q**4 - 9*q**2 - 6476724*q?\nAnswer: 14300*q**3 - 624*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 20 + 4a1586?\nAnswer: 4a15a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29195979.\nAnswer: 3, 601, 16193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/(-21)*((-84)\/8)\/(((-124)\/20)\/31)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes before 11:12 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.4235 plus 733158?\nAnswer: 733168.4235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*m + 759046 = 756445 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 118300\/(-75) - (10\/6 + -1). Is f\/(-14) + (-3)\/(105\/(-10)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*d - 0*d - 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-10))\/(j\/(j*(j\/(j**23*j))\/j*j)) assuming j is positive.\nAnswer: j**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 187 divide 575294602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -160.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-31)\/((y**15\/y)\/y)*y**(-4)\/(y*y\/(y**(-2)*y)) assuming y is positive.\nAnswer: y**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from qfwfhtfwftfftfqtth.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 1588090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 132\/34 + (-14)\/(-119). Let k(r) = -2*r + 4*r**2 + r - r**2. Let a be k(4). What is the highest common divisor of m and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 PM and 10:06 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-39)\/(-26)*4\/6. Suppose 2*h - 8 = -4*f, f = -3*h - 2*h + 11. Let w be (-1)\/((-2)\/h) + q. Solve -w*u - 6 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5356 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3898*b**3 - 17*b - 3900*b**3 - 4*b**2 + 2*b**2 to y + c*b**3 + s*b + m*b**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 2395*m - 59882. Let d be k(25). Let a(q) = 4*q - 5. Let g(p) = -5*p + 10*p - 16 + 8*p. Calculate d*a(b) + 2*g(b).\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 11 - 4. Suppose 0 = -8*i + q*i - 250. Is 9 a factor of 4\/((-8)\/i) - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/(o\/(o**(-6)*o))*o**(-2\/7)*(o\/(o\/o**(1\/2)*o))**6 assuming o is positive.\nAnswer: o**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -21 in -21, 2.6, -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-42))\/(24\/(-1152)*8)*3?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*a**4 - 1 - 5*a**3 - 3*a - 3*a**2 + 0*a**2 + 3*a + a + 7*a**3 to the form g*a**3 + s*a + u*a**2 + x + d*a**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*c - 14*c**4 + 27*c**4 - 2*c**2 + 2 - 11*c**4 to h*c + w + x*c**2 + o*c**4 + z*c**3 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of -372*z**5\/5 + 2*z**3\/3 + 57*z**2 + 8715. What is the second derivative of d(c) wrt c?\nAnswer: -4464*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 2*g + 2. Let h = 26 - 22. Let j be h\/(-6) - (-8)\/(-6). What is the biggest value in g, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/7065 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/51  (b) -4  (c) 0.2  (d) 47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -11 - -1 - (-1)\/1. Suppose -7*v + 307 = 265. Let f be o + v + 0\/(-1). Sort f, 5, -6 in descending order.\nAnswer: 5, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 1540?\nAnswer: -1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 148\/666*(-6)\/(-8)*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -84*18\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6018 times 0.1914?\nAnswer: 1151.8452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 11236573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1030235 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13.9 + 14. Let k = -6 - -6.4. Let x = k + -3.4. What is the smallest value in w, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-112*a + 112*a - 57*a**2)*(0*a - 3*a + a)*(2*a + a + 3*a).\nAnswer: 684*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of -f**5\/15 - 19*f**3\/3 - f**2 - 25*f + 1. Let b(s) be the second derivative of v(s). Let a(t) = -2*t. Calculate b(a(h)).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -356 = 5*s - 4*j, -128 = -s - 203*j + 154*j for s.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5447 and 50188239?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 - 5\/(-4)*-2. Suppose 9 - 18 = -3*r. Suppose -2*n = 4*t + 24, r*t = -4*n - 9 - 14. Is n < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 481\/5111 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -179\/140 - 9\/28. Let z = -53\/30 - n. Let g = 7 + -3. Which is the closest to z?  (a) -5  (b) g  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 18866205, 150929763, 509387987, 1207438209, 2358277761, 4075103975, 6471114183, 9659505717?\n\"Answer: 18866222*r**3 + r**2 + r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 363400.7 rounded to the nearest one hundred?\nAnswer: 363400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1521 + -1522. What is the third smallest value in -0.045, i, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**3 - 11*j**2 + j + 1. Suppose 0 = -3*o - o + 96. Let t = o - 16. Is s(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10951 not equal to -76647\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4 and 284.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 4.4  (b) 0.5  (c) -4  (d) 47\/773  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 125\/2530602 and -119\/61722?\nAnswer: 2530602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4104 and 48?\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - 24. Let r = 27 + w. What is the second biggest value in -5, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.431 + 0.431. Which is the biggest value?  (a) 0.01  (b) 8  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of 0*n**2 + 29\/12*n**4 + 19 + 6*n + 0*n**3. Let g(q) = -6*q. Calculate v(g(p)).\nAnswer: 1044*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + -66 + 2 + 3 + 7?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60529?\nAnswer: 7, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.01  (b) -0.2  (c) -0.3  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}